diff --git "a/data/validation-explicit.jsonl" "b/data/validation-explicit.jsonl"
new file mode 100644--- /dev/null
+++ "b/data/validation-explicit.jsonl"
@@ -0,0 +1,901 @@
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Manuel. Betty's card is shown to Jose. Manuel's card is shown to Betty. Jose's card is shown to Betty. 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 Manuel knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agenta knows whether (1|2|3)) ] (Agenta knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agenta knows whether (1|2|3)) ] 0","hypothesis":"Manuel can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Manuel","Jose","Betty"],"index":40829,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998513639,"difficulty":0.001486361}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brooke's card is shown to Brooke. Clara's card is shown to Brooke. Ronald's card is shown to Clara. Brooke's card is shown to Ronald. Ronald's card is shown to Ronald. It is publicly announced that someone picked a red card. It is publicly announced that Ronald does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Clara can now know that Ronald can know that Brooke picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Brooke","Clara","Ronald"],"index":43711,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.5308222771,"difficulty":1.5308222771}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joan's card is shown to Joan. Emily's card is shown to Ethel. Leslie's card is shown to Leslie. Ethel's card is shown to Emily. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Emily can now know whether Joan can know that Ethel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joan","Ethel","Leslie","Emily"],"index":61139,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9331834316,"difficulty":0.0668165684}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leon's card is shown to Teresia. Leon's card is shown to Robert. Robert's card is shown to Leon. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Teresia can now know whether Teresia picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Teresia","Robert","Leon"],"index":8457,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9344807863,"difficulty":0.0655192137}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elmer's card is shown to Elmer. Elmer's card is shown to Mattie. Robert's card is shown to Mattie. Mattie's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Mattie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Robert can now know that Mattie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Elmer","Mattie","Robert"],"index":26370,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.626519084,"difficulty":0.373480916}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Wanda's card is shown to Lyle. Lyle's card is shown to Wanda. Maria's card is shown to Maria. It is publicly announced that someone picked a red card. It is publicly announced that Maria knows whether Maria picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Maria can now know whether Maria picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Lyle","Wanda","Maria"],"index":12761,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9688028097,"difficulty":0.0311971903}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patricia's card is shown to Anna. Anna's card is shown to David. Anna's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that Anna knows whether or not everyone picked a red card. It is publicly announced that Steven does not know whether David picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Steven can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Anna","David","Steven","Patricia"],"index":34641,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999779284,"difficulty":0.000220716}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Norman's card is shown to Norman. Jeffrey's card is shown to Norman. Edith's card is shown to Edith. Jeffrey's card is shown to Edwin. Norman's card is shown to Jeffrey. Edith's card is shown to Jeffrey. Jeffrey's card is shown to Jeffrey. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:4 Agentd:1,2,4 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:4 Agentd:1,2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jeffrey can now know whether Edwin can know whether Edith picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Norman","Edith","Edwin","Jeffrey"],"index":36534,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9986781478,"difficulty":0.0013218522}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sharon's card is shown to Sharon. Winston's card is shown to Sharon. Winston's card is shown to Winston. Meredith's card is shown to Meredith. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Meredith can now know whether Winston can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Sharon","Winston","Meredith"],"index":57213,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997728467,"difficulty":0.0002271533}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nathaniel's card is shown to Henry. Vernon's card is shown to Vernon. Henry's card is shown to Carol. Henry's card is shown to Nathaniel. Vernon's card is shown to Nathaniel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentc knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Nathaniel can now know that Carol can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Henry","Vernon","Carol","Nathaniel"],"index":38056,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984462857,"difficulty":0.0015537143}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Joe's card is shown to William. Sara's card is shown to Jeremiah. William's card is shown to Joe. Jeremiah's card is shown to Sara. Joe's card is shown to Sara. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:1 Agentd:2,3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:1 Agentd:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jeremiah can now know whether William can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["William","Jeremiah","Joe","Sara"],"index":45356,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8421244621,"difficulty":0.1578755379}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Paul. Jorge's card is shown to Paul. Tommy's card is shown to Jorge. Paul's card is shown to Tommy. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Jorge can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Paul","Jorge","Tommy"],"index":25649,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984759688,"difficulty":0.0015240312}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cathleen's card is shown to Phillip. Phillip's card is shown to Cathleen. Charles's card is shown to Cathleen. Charles's card is shown to Charles. It is publicly announced that someone picked a red card. It is publicly announced that Charles does not know whether Phillip picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentc knows that (Agentb knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Charles can now know that Cathleen can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Phillip","Cathleen","Charles"],"index":42150,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9977940321,"difficulty":0.0022059679}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ike's card is shown to Laurie. Linda's card is shown to Charles. Ike's card is shown to Ike. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Laurie can now know that Charles can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Laurie","Charles","Ike","Linda"],"index":42332,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9866583943,"difficulty":0.0133416057}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roberto's card is shown to Roberto. John's card is shown to Roberto. John's card is shown to John. Roberto's card is shown to Evelyn. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether or not everyone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] (Agentb knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"John can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Roberto","John","Evelyn"],"index":45423,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.839566648,"difficulty":0.160433352}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Teresa's card is shown to Teresa. Karen's card is shown to Teresa. Mary's card is shown to Teresa. Teresa's card is shown to Karen. Karen's card is shown to Karen. Linda's card is shown to Karen. Mary's card is shown to Karen. Teresa's card is shown to Linda. Mary's card is shown to Linda. Teresa's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Mary does not know whether Karen picked a red card. It is publicly announced that Mary does not know whether Linda picked a red card. It is publicly announced that Teresa does not know whether Linda picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:1,2,3,4 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] Agentb knows that (Agenta knows whether (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:1,2,3,4 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Karen can now know that Teresa can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Teresa","Karen","Linda","Mary"],"index":63343,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8555288315,"difficulty":0.1444711685}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Yvette's card is shown to Yvette. Jessica's card is shown to Yvette. Faye's card is shown to Yvette. Faye's card is shown to Jessica. Yvette's card is shown to Faye. Yvette's card is shown to Luis. Jessica's card is shown to Luis. Faye's card is shown to Luis. It is publicly announced that someone picked a red card. It is publicly announced that Yvette knows whether Jessica picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:1 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 2) ] (Agentb knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:1 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Jessica can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Yvette","Jessica","Faye","Luis"],"index":54074,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997195601,"difficulty":0.0002804399}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cheryl's card is shown to Cheryl. Robert's card is shown to Cheryl. Mathew's card is shown to Mathew. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 VALID? [ ! (1|2|3) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Cheryl can now know that Cheryl picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Cheryl","Mathew","Robert"],"index":8567,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9960761666,"difficulty":0.0039238334}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alane's card is shown to Alane. Janice's card is shown to Alane. Alane's card is shown to Janice. It is publicly announced that someone picked a red card. It is publicly announced that Janice does not know whether or not everyone picked a red card. It is publicly announced that Janice picked a black card. It is publicly announced that Janice knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2)) ] (Agenta knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"Alane can now know that Alane picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Alane","Janice"],"index":30383,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.71362257,"difficulty":0.28637743}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maria's card is shown to Maria. Joseph's card is shown to Maria. Maria's card is shown to Joseph. Louis's card is shown to Joseph. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Louis can now know whether Maria can know that Maria picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Maria","Louis","Joseph"],"index":28883,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9067435265,"difficulty":0.0932564735}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. James's card is shown to Larry. It is publicly announced that someone picked a red card. It is publicly announced that James does not know whether or not everyone picked a red card. It is publicly announced that Larry knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] (Agenta knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"James can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["James","Larry"],"index":32237,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997711778,"difficulty":0.0002288222}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kristin's card is shown to Kristin. Kristin's card is shown to Don. Kristin's card is shown to Bernice. It is publicly announced that someone picked a red card. It is publicly announced that Bernice does not know whether Don picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Don can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kristin","Don","Bernice"],"index":50800,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9824464321,"difficulty":0.0175535679}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jose's card is shown to Pauline. Cindi's card is shown to Pauline. Pauline's card is shown to Jose. Cindi's card is shown to Jose. Pauline's card is shown to Cindi. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Pauline can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Pauline","Jose","Cindi"],"index":64181,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983600974,"difficulty":0.0016399026}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessie's card is shown to Jessie. Jessie's card is shown to Louis. Louis's card is shown to Louis. It is publicly announced that someone picked a red card. It is publicly announced that Jessie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Jessie can now know whether Louis can know that Louis picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Jessie","Louis"],"index":62995,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9450370073,"difficulty":1.9450370073}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brenda's card is shown to Lynn. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Michael picked a red card. It is publicly announced that Lynn picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! 2 ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! 2 ] 0","hypothesis":"Lynn can now know whether Lynn picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Brenda","Lynn","Michael"],"index":18206,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8966013789,"difficulty":0.1033986211}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Terry's card is shown to Joshua. Mary's card is shown to Joshua. Terry's card is shown to Steve. Steve's card is shown to Steve. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Terry knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] (Agenta knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Joshua can now know that Mary picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Joshua","Terry","Mary","Steve"],"index":53179,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9971188307,"difficulty":0.0028811693}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Buck's card is shown to Buck. Margaret's card is shown to Buck. Margaret's card is shown to Margaret. Buck's card is shown to Darryl. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Margaret can now know that Buck picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Buck","Margaret","Darryl"],"index":45715,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980893731,"difficulty":0.0019106269}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Augusta's card is shown to Augusta. Yolanda's card is shown to Augusta. Edgardo's card is shown to Pedro. Yolanda's card is shown to Yolanda. Yolanda's card is shown to Edgardo. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Pedro can now know whether Yolanda can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Augusta","Pedro","Yolanda","Edgardo"],"index":6259,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997755885,"difficulty":0.0002244115}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brian's card is shown to Walter. Brian's card is shown to Brian. It is publicly announced that someone picked a red card. It is publicly announced that Walter does not know whether Walter picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (~(1&2)) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! (~(1&2)) ] 0","hypothesis":"Walter can now know that Walter picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Walter","Brian"],"index":17274,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9543434978,"difficulty":0.0456565022}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrew's card is shown to Andrew. Kristine's card is shown to Andrew. Gilbert's card is shown to Andrew. Andrew's card is shown to Gilbert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 VALID? [ ! (1|2|3) ] (Agenta knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Andrew can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Andrew","Kristine","Gilbert"],"index":51898,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997729659,"difficulty":0.0002270341}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sherman's card is shown to Sherman. Sherman's card is shown to Deborah. Deborah's card is shown to Deborah. It is publicly announced that someone picked a red card. It is publicly announced that Sherman does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agenta knows that (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Sherman can now know that Deborah can know whether Sherman picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Sherman","Deborah"],"index":55362,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9679063559,"difficulty":0.0320936441}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Issac's card is shown to Lorena. Clara's card is shown to Lorena. Andria's card is shown to Lorena. Issac's card is shown to Issac. Issac's card is shown to Clara. Clara's card is shown to Clara. Clara's card is shown to Andria. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentd knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:2 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Andria can now know that Lorena picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lorena","Issac","Clara","Andria"],"index":2824,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978628755,"difficulty":0.0021371245}
+{"premise":"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 Anthony. Anthony's card is shown to Raymond. Anthony's card is shown to James. Joe's card is shown to James. 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 Raymond knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether (1&2&3&4)) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Raymond can now know whether Raymond picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Anthony","Raymond","James","Joe"],"index":1761,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9024614096,"difficulty":1.9024614096}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that David knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"David can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["David","Marian"],"index":21132,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986000657,"difficulty":0.0013999343}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andre's card is shown to Andre. Andre's card is shown to Dirk. Dirk's card is shown to Dirk. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0","hypothesis":"Dirk can now know whether Andre can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Andre","Dirk"],"index":65709,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997016788,"difficulty":0.0002983212}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amber's card is shown to Gabriel. Gabriel's card is shown to John. Amber's card is shown to Derek. Derek's card is shown to Derek. It is publicly announced that someone picked a red card. It is publicly announced that Gabriel does not know whether Gabriel picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] Agentc knows that (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"John can now know that Amber can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Gabriel","Amber","John","Derek"],"index":20673,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999779284,"difficulty":0.000220716}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patty's card is shown to Patty. Robin's card is shown to Patty. Patty's card is shown to Robin. Patty's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robin can now know whether John picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Patty","Robin","John","Thomas"],"index":29519,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.924518466,"difficulty":0.075481534}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. John's card is shown to Michael. Donny's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know whether Michael picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Donny","Michael","Teresa","John"],"index":67439,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9641411304,"difficulty":1.9641411304}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Helen. Sandra's card is shown to Sandra. Joseph's card is shown to Sandra. Helen's card is shown to Joseph. Sandra's card is shown to Joseph. Joseph's card is shown to Joseph. Sandra's card is shown to Teddy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Teddy can now know that Sandra can know that Helen picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Helen","Sandra","Joseph","Teddy"],"index":912,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9970978498,"difficulty":0.0029021502}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sherry's card is shown to Robert. Sherry's card is shown to Thomas. Robert's card is shown to Sherry. Thomas's card is shown to Sherry. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sherry can now know that Robert can know whether Sherry picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Robert","Thomas","Sherry"],"index":11924,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5948124528,"difficulty":0.4051875472}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marjorie's card is shown to Marjorie. Shawn's card is shown to Marjorie. Shawn's card is shown to Shawn. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] Agenta knows that (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Marjorie can now know that Shawn can know whether Marjorie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Marjorie","Shawn"],"index":28910,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8531727791,"difficulty":0.1468272209}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judith's card is shown to Hazel. Virginia's card is shown to Virginia. Hazel's card is shown to Curtis. Judith's card is shown to Judith. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Hazel can now know whether Curtis picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Hazel","Virginia","Curtis","Judith"],"index":40992,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9488701224,"difficulty":0.0511298776}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tuyet's card is shown to Richard. William's card is shown to Richard. Tuyet's card is shown to Tuyet. William's card is shown to Tuyet. William's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that William knows whether or not nobody picked a red card. It is publicly announced that William does not know whether Tuyet picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentc knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Richard can now know that William can know whether Richard picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Richard","Tuyet","William"],"index":14842,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8587175012,"difficulty":0.1412824988}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mark's card is shown to Deborah. Deborah's card is shown to Terry. Terry's card is shown to Terry. Deborah's card is shown to Mark. It is publicly announced that someone picked a red card. It is publicly announced that Deborah does not know whether Terry picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Terry can now know that Deborah picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Deborah","Terry","Mark"],"index":61443,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.994046092,"difficulty":0.005953908}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jennifer's card is shown to Jennifer. Danny's card is shown to Jennifer. Barbara's card is shown to Barbara. Danny's card is shown to Dale. Jennifer's card is shown to Danny. Barbara's card is shown to Danny. Danny's card is shown to Danny. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:4 Agentd:1,2,4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:4 Agentd:1,2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jennifer can now know that Dale can know whether Danny picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jennifer","Barbara","Dale","Danny"],"index":16007,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9916152358,"difficulty":0.0083847642}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carol's card is shown to Carol. Rhonda's card is shown to Carol. Jeffrey's card is shown to Rhonda. Carol's card is shown to Robert. Robert's card is shown to Robert. Jeffrey's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:1,3,4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:1,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know whether Carol can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Carol","Rhonda","Robert","Jeffrey"],"index":1526,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997033477,"difficulty":0.0002966523}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Winifred's card is shown to Juan. Winifred's card is shown to Winifred. Andrew's card is shown to Kristopher. Juan's card is shown to Andrew. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Winifred can now know that Juan can know that Winifred picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Juan","Winifred","Kristopher","Andrew"],"index":36476,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9972605705,"difficulty":0.0027394295}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Juanita's card is shown to Juanita. Juanita's card is shown to Craig. Craig's card is shown to Craig. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] Agenta knows whether (Agentb knows that (~(1|2)))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] 0","hypothesis":"Juanita can now know whether Craig can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Juanita","Craig"],"index":30947,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999592483,"difficulty":0.000407517}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffery's card is shown to Suzanne. Suzanne's card is shown to Jeffery. Linda's card is shown to Jeffery. Jeffery's card is shown to Linda. It is publicly announced that someone picked a red card. It is publicly announced that Jeffery does not know whether Jeffery picked a red card. It is publicly announced that Jeffery knows whether or not nobody picked a red card. It is publicly announced that Suzanne picked a red card. It is publicly announced that Suzanne does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows that (Agenta knows that (~(1|2|3)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Jeffery can now know that Suzanne can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Suzanne","Jeffery","Linda"],"index":22547,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9971950054,"difficulty":0.0028049946}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to Ronald. Sharon's card is shown to Ronald. Ronald's card is shown to Darlena. Darlena's card is shown to Darlena. Sharon's card is shown to Darlena. Ronald's card is shown to Sharon. It is publicly announced that someone picked a red card. It is publicly announced that Darlena knows whether or not nobody picked a red card. It is publicly announced that Ronald does not know whether Darlena picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Ronald can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Ronald","Darlena","Sharon"],"index":52209,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997796416,"difficulty":0.0002203584}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michelle's card is shown to Chelsea. Chelsea's card is shown to George. George's card is shown to George. Michelle's card is shown to Michelle. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"George can now know whether George picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Chelsea","George","Michelle"],"index":61726,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8019625545,"difficulty":0.1980374455}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jaime's card is shown to Willie. Willie's card is shown to Allison. Jaime's card is shown to Allison. Willie's card is shown to Jaime. Jaime's card is shown to Jaime. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jaime can now know that Allison can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Willie","Allison","Jaime"],"index":58407,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984475374,"difficulty":0.0015524626}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Douglas's card is shown to Judy. Judy's card is shown to Darci. Douglas's card is shown to Darci. Douglas's card is shown to Douglas. It is publicly announced that someone picked a red card. It is publicly announced that Judy does not know whether Darci picked a red card. It is publicly announced that Douglas does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentc knows whether (Agentb knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Douglas can now know whether Darci can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Judy","Darci","Douglas"],"index":50400,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999771893,"difficulty":0.000228107}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ophelia's card is shown to Ophelia. Russell's card is shown to Russell. Richard's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Timothy does not know whether Ophelia picked a red card. It is publicly announced that Timothy does not know whether Timothy picked a red card. It is publicly announced that Ophelia does not know whether Timothy picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Ophelia can now know that Russell picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ophelia","Russell","Timothy","Richard"],"index":25767,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.981323123,"difficulty":0.018676877}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Leroy. Rebecca's card is shown to Leroy. Leroy's card is shown to John. John's card is shown to John. Rebecca's card is shown to John. Leroy's card is shown to Rebecca. It is publicly announced that someone picked a red card. It is publicly announced that Leroy does not know whether Leroy picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Rebecca can now know that Leroy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Leroy","John","Rebecca"],"index":19019,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9899166226,"difficulty":0.0100833774}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. Bruce's card is shown to David. David's card is shown to Bruce. Donald's card is shown to Bruce. David's card is shown to Donald. Bruce's card is shown to Donald. Mark's card is shown to Donald. David's card is shown to Mark. Bruce's card is shown to Mark. It is publicly announced that someone picked a red card. It is publicly announced that David does not know whether Mark picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:1,2,4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] (Agentc knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:1,2,4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Donald can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["David","Bruce","Donald","Mark"],"index":8731,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997797608,"difficulty":0.0002202392}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randy's card is shown to Robert. Frances's card is shown to Randy. Randy's card is shown to Randy. It is publicly announced that someone picked a red card. It is publicly announced that Frances knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Frances can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Frances","Robert","Randy"],"index":25292,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997043014,"difficulty":0.0002956986}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ralph's card is shown to Ronald. Madeleine's card is shown to Madeleine. Ronald's card is shown to Clara. Madeleine's card is shown to Clara. Clara's card is shown to Clara. It is publicly announced that someone picked a red card. It is publicly announced that Madeleine picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agenta knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Ronald can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Ronald","Madeleine","Ralph","Clara"],"index":6976,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997839332,"difficulty":0.0002160668}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eva's card is shown to Latoya. Marcus's card is shown to Latoya. Latoya's card is shown to Eva. Latoya's card is shown to Marcus. Eva's card is shown to George. It is publicly announced that someone picked a red card. It is publicly announced that Eva does not know whether Eva picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] (Agenta knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Latoya can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Latoya","Eva","Marcus","George"],"index":6803,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997727275,"difficulty":0.0002272725}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Belinda's card is shown to Janina. Ann's card is shown to Janina. Belinda's card is shown to Belinda. Ann's card is shown to Belinda. Ann's card is shown to Ann. It is publicly announced that someone picked a red card. It is publicly announced that Ann knows whether or not nobody picked a red card. It is publicly announced that Ann does not know whether Belinda picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentc knows whether 2) ] Agentb knows that (Agenta knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Belinda can now know that Janina can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Janina","Belinda","Ann"],"index":50295,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997238517,"difficulty":0.0002761483}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cleveland's card is shown to Cleveland. Jonathan's card is shown to Cleveland. Cleveland's card is shown to Jonathan. Jonathan's card is shown to Linda. Harry's card is shown to Linda. Linda's card is shown to Harry. It is publicly announced that someone picked a red card. It is publicly announced that Jonathan picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:2,4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] Agentb knows whether (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:2,4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Jonathan can now know whether Linda can know whether Cleveland picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Cleveland","Jonathan","Linda","Harry"],"index":3680,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9981533885,"difficulty":0.0018466115}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Henry's card is shown to Robert. Janette's card is shown to Janette. Robert's card is shown to Kristin. It is publicly announced that someone picked a red card. It is publicly announced that Janette picked a red card. It is publicly announced that Henry knows whether someone picked a red card.","smcdel_problem":"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)) ] (Agentb knows that 1)","n_announcements":2,"pbcheck":"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","hypothesis":"Robert can now know that Henry picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Henry","Robert","Janette","Kristin"],"index":20216,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9161271453,"difficulty":0.0838728547}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carol's card is shown to Carol. Amy's card is shown to Amy. Amy's card is shown to Thelma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Carol can now know that Amy can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Carol","Amy","Thelma"],"index":20895,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9852012992,"difficulty":0.0147987008}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edmund's card is shown to Martha. Ronald's card is shown to Martha. Dana's card is shown to Dana. Dana's card is shown to Edmund. Edmund's card is shown to Edmund. Ronald's card is shown to Ronald. It is publicly announced that someone picked a red card. It is publicly announced that Edmund knows whether Edmund picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:2,3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:2,3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Ronald can now know that Ronald picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Martha","Dana","Edmund","Ronald"],"index":37245,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.991778791,"difficulty":0.008221209}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janelle's card is shown to George. Janelle's card is shown to Janelle. It is publicly announced that someone picked a red card. It is publicly announced that Janelle picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] Agentb knows that (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] 0","hypothesis":"Janelle can now know that George can know that George picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["George","Janelle"],"index":63102,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7517800331,"difficulty":0.2482199669}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). George's card is shown to George. Rhonda's card is shown to George. Rhonda's card is shown to Rhonda. It is publicly announced that someone picked a red card. It is publicly announced that Rhonda knows whether or not everyone picked a red card. It is publicly announced that Rhonda knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] 0","hypothesis":"Rhonda can now know whether George can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["George","Rhonda"],"index":55641,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9856907725,"difficulty":0.0143092275}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Samuel's card is shown to Michael. Michael's card is shown to Jamie. Samuel's card is shown to Jamie. Reva's card is shown to Jamie. Michael's card is shown to Reva. Samuel's card is shown to Reva. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3,4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3,4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know whether Jamie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Michael","Jamie","Samuel","Reva"],"index":17195,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8879345655,"difficulty":0.1120654345}
+{"premise":"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. Kenneth's card is shown to Patrick. Jose's card is shown to Patrick. Patrick's card is shown to Jose. Jose's card is shown to Jose. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. It is publicly announced that Jose picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! 3 ] (Agenta knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! 3 ] 0","hypothesis":"Patrick can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Patrick","Kenneth","Jose"],"index":9496,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997742772,"difficulty":0.0002257228}
+{"premise":"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 Charles. Charles's card is shown to Marie. It is publicly announced that someone picked a red card. It is publicly announced that Marie does not know whether Ruth picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] (Agenta knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Charles can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Charles","Marie","Andrew","Ruth"],"index":49899,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997150302,"difficulty":0.0002849698}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Miles's card is shown to Dale. Dale's card is shown to Miles. Miles's card is shown to Miles. Pamela's card is shown to Miles. Pamela's card is shown to Pamela. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Dale can now know that Pamela can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dale","Miles","Pamela"],"index":17084,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997152686,"difficulty":0.0002847314}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Chad's card is shown to Andrea. Martha's card is shown to Andrea. Andrea's card is shown to Chad. Chad's card is shown to Chad. Andrea's card is shown to Martha. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. It is publicly announced that Martha knows whether Martha picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! (Agentc knows whether 3) ] [ ! (1&2&3) ] (Agentc knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! (Agentc knows whether 3) ] [ ! (1&2&3) ] 0","hypothesis":"Martha can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Andrea","Chad","Martha"],"index":10369,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997029901,"difficulty":0.0002970099}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tyesha's card is shown to Tyesha. Tyesha's card is shown to Jay. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Tyesha does not know whether Jay picked a red card. It is publicly announced that Tyesha does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows that (Agenta knows that (1|2))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Jay can now know that Tyesha can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Tyesha","Jay"],"index":14542,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999778688,"difficulty":0.000221312}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gerard's card is shown to Victoria. Gerard's card is shown to Gerard. It is publicly announced that someone picked a red card. It is publicly announced that Victoria does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Victoria can now know whether Victoria picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Victoria","Gerard"],"index":56945,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9549604058,"difficulty":1.9549604058}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carla's card is shown to Carla. Johnathan's card is shown to Carla. Carla's card is shown to Colleen. Johnathan's card is shown to Colleen. Colleen's card is shown to Mickey. Mickey's card is shown to Mickey. Colleen's card is shown to Johnathan. It is publicly announced that someone picked a red card. It is publicly announced that Colleen knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,4 Agentc:2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agentd knows whether (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,4 Agentc:2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Johnathan can now know whether Carla can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Carla","Colleen","Mickey","Johnathan"],"index":46598,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9995494485,"difficulty":0.0004505515}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janet's card is shown to Dorothy. Suzanne's card is shown to Dorothy. Dorothy's card is shown to Janet. Janet's card is shown to Janet. Janet's card is shown to Suzanne. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Janet can now know whether Dorothy can know that Suzanne picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Dorothy","Janet","Suzanne"],"index":30601,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8985098004,"difficulty":1.8985098004}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lorrie's card is shown to Lorrie. Andrea's card is shown to Lorrie. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] (Agenta knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0","hypothesis":"Lorrie can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Lorrie","Andrea"],"index":8575,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997205138,"difficulty":0.0002794862}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ardelia's card is shown to Winnie. Winnie's card is shown to Tina. Ardelia's card is shown to Tina. Winnie's card is shown to Ardelia. Ardelia's card is shown to Ardelia. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Tina can now know whether Ardelia can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Winnie","Tina","Ardelia"],"index":52326,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997739196,"difficulty":0.0002260804}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Viola's card is shown to Robert. Robert's card is shown to Viola. Viola's card is shown to Viola. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Viola can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Robert","Viola"],"index":4552,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9859825969,"difficulty":1.9859825969}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Evelyn. Amy's card is shown to Amy. David's card is shown to Amy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Evelyn can now know that Amy can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Evelyn","Amy","David"],"index":33208,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983691573,"difficulty":0.0016308427}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alan's card is shown to Alan. Alan's card is shown to Michael. Michael's card is shown to Michael. Michael's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agenta knows that (Agentc knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Alan can now know that Kenneth can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Alan","Michael","Kenneth"],"index":61134,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983085394,"difficulty":0.0016914606}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Constance's card is shown to Constance. Jean's card is shown to Jean. Tracy's card is shown to Jean. Constance's card is shown to Tracy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jean can now know that Tracy can know that Jean picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Constance","Jean","Tracy"],"index":40772,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9966057539,"difficulty":0.0033942461}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Annemarie's card is shown to Annemarie. Stacy's card is shown to Stacy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Annemarie can now know whether Stacy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Annemarie","Stacy","Susan"],"index":50924,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7172392607,"difficulty":0.2827607393}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louis's card is shown to Louis. Louis's card is shown to Faye. Louis's card is shown to Jeremiah. Faye's card is shown to Elizabeth. It is publicly announced that someone picked a red card. It is publicly announced that Jeremiah does not know whether Jeremiah picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentc knows whether (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Jeremiah can now know whether Louis can know that Jeremiah picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Louis","Faye","Jeremiah","Elizabeth"],"index":399,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8739686608,"difficulty":0.1260313392}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Danielle's card is shown to Scott. Donald's card is shown to Donald. Danielle's card is shown to Danielle. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Danielle can now know whether Donald can know that Scott picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Scott","Donald","Danielle","Julia"],"index":57357,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8656083345,"difficulty":0.1343916655}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Irma's card is shown to Mable. Maria's card is shown to Maria. Mable's card is shown to Gary. Irma's card is shown to Gary. Mable's card is shown to Irma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Maria can now know whether Mable picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mable","Maria","Gary","Irma"],"index":20956,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6251083016,"difficulty":0.3748916984}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gregory's card is shown to Gregory. Charlie's card is shown to Marion. Mark's card is shown to Charlie. Marion's card is shown to Mark. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mark can now know whether Gregory can know whether Mark picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Gregory","Marion","Charlie","Mark"],"index":52717,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9980310798,"difficulty":0.0019689202}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Josephine. Christopher's card is shown to Lynn. Lynn's card is shown to Lynn. It is publicly announced that someone picked a red card. It is publicly announced that Josephine does not know whether Josephine picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] (Agenta knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Josephine can now know that Lynn picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Josephine","Dawn","Christopher","Lynn"],"index":18832,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9953373671,"difficulty":0.0046626329}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tracy's card is shown to Amy. Amy's card is shown to Valerie. Valerie's card is shown to Valerie. Tracy's card is shown to Valerie. It is publicly announced that someone picked a red card. It is publicly announced that Amy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Amy can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Amy","Valerie","Tracy"],"index":66282,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999769628,"difficulty":0.000230372}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Douglas's card is shown to Douglas. Wanda's card is shown to Jerome. Douglas's card is shown to Wanda. Wanda's card is shown to Wanda. It is publicly announced that someone picked a red card. It is publicly announced that Jerome picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0","hypothesis":"Wanda can now know that Douglas picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Douglas","Jerome","Wanda"],"index":65016,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.947609067,"difficulty":0.052390933}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Karen's card is shown to Diana. Elizabeth's card is shown to Diana. Karen's card is shown to Karen. Elizabeth's card is shown to Karen. Diana's card is shown to Elizabeth. Karen's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Diana does not know whether or not everyone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"Karen can now know whether Elizabeth can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Diana","Karen","Elizabeth","Mary"],"index":64114,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9591677785,"difficulty":1.9591677785}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Pauline's card is shown to Pauline. Vernon's card is shown to Pauline. Vernon's card is shown to Stephanie. Vernon's card is shown to Todd. Pauline's card is shown to Vernon. It is publicly announced that someone picked a red card. It is publicly announced that Pauline knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agenta knows that (Agentc knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Pauline can now know that Todd can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Pauline","Stephanie","Todd","Vernon"],"index":27002,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997746348,"difficulty":0.0002253652}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leandra's card is shown to Leandra. Leandra's card is shown to Dale. Dale's card is shown to Dale. Joyce's card is shown to Dale. Dale's card is shown to Joyce. Joyce's card is shown to Joyce. Janice's card is shown to Joyce. Janice's card is shown to Janice. It is publicly announced that someone picked a red card. It is publicly announced that Dale knows whether Joyce picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:2,3,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 3) ] (Agentc knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:2,3,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 3) ] 0","hypothesis":"Joyce can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Leandra","Dale","Joyce","Janice"],"index":51365,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997205138,"difficulty":0.0002794862}
+{"premise":"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 Edwina. Edwina's card is shown to Mary. Mary's card is shown to Mary. Mary's card is shown to William. William's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know that Edwina can know whether Edwina picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Edwina","Mary","William"],"index":3701,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8919342756,"difficulty":0.1080657244}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brenda's card is shown to Brenda. Brenda's card is shown to Tricia. Brenda's card is shown to Becky. Tricia's card is shown to Becky. Becky's card is shown to Becky. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentc knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Becky can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Brenda","Tricia","Becky"],"index":36884,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997227788,"difficulty":0.0002772212}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kara's card is shown to Irving. Kara's card is shown to Donna. Donna's card is shown to Donna. It is publicly announced that someone picked a red card. It is publicly announced that Irving does not know whether Irving picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Irving can now know whether Kara can know that Kara picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Irving","Kara","Donna"],"index":49512,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8672891259,"difficulty":0.1327108741}
+{"premise":"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 Beverly. Phyllis's card is shown to Beverly. Gladys's card is shown to Elizabeth. Elizabeth's card is shown to Elizabeth. Elizabeth's card is shown to Phyllis. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Beverly can now know whether Gladys can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Beverly","Gladys","Elizabeth","Phyllis"],"index":59464,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997814298,"difficulty":0.0002185702}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Vincent's card is shown to Vincent. Vincent's card is shown to Robert. Robert's card is shown to Robert. Vincent's card is shown to Bert. Robert's card is shown to Bert. Bert's card is shown to Sharon. Sharon's card is shown to Sharon. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Vincent","Robert","Bert","Sharon"],"index":7478,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998500824,"difficulty":0.001499176}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sarah's card is shown to Sarah. Alice's card is shown to Alice. Bernice's card is shown to Alice. Alice's card is shown to Bernice. 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 Bernice does not know whether Bernice picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Alice can now know that Alice picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Sarah","Alice","Bernice"],"index":26690,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9630122185,"difficulty":0.0369877815}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Veronica's card is shown to Ronald. Helene's card is shown to Ronald. Ronald's card is shown to Veronica. Helene's card is shown to Veronica. Helene's card is shown to Sally. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ronald can now know whether Veronica can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ronald","Veronica","Helene","Sally"],"index":4260,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999565661,"difficulty":0.000434339}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Daisy's card is shown to Daisy. Mavis's card is shown to Daisy. Lee's card is shown to Mavis. Daisy's card is shown to Lee. It is publicly announced that someone picked a red card. It is publicly announced that Lee does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Mavis can now know whether Daisy can know whether Lee picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Daisy","Mavis","Lee"],"index":39116,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9979871511,"difficulty":0.0020128489}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to Mandy. Mandy's card is shown to Steven. Steven's card is shown to Steven. Minnie's card is shown to Steven. Mandy's card is shown to Minnie. It is publicly announced that someone picked a red card. It is publicly announced that Minnie does not know whether or not everyone picked a red card. It is publicly announced that Steven knows whether Minnie picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (Agentb knows whether 3) ] Agentc knows that (Agenta knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (Agentb knows whether 3) ] 0","hypothesis":"Minnie can now know that Mandy can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mandy","Steven","Minnie"],"index":52454,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7805024981,"difficulty":1.7805024981}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lela's card is shown to Jessie. Sandra's card is shown to Lela. Jessie's card is shown to Sandra. Neil's card is shown to Sandra. Jessie's card is shown to Neil. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Sandra can now know that Lela can know whether Lela picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jessie","Lela","Sandra","Neil"],"index":49084,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8495640159,"difficulty":0.1504359841}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Antoinette's card is shown to Ricky. Antoinette's card is shown to Virginia. Virginia's card is shown to Antoinette. Ricky's card is shown to Jordan. It is publicly announced that someone picked a red card. It is publicly announced that Ricky picked a black card. It is publicly announced that Ricky does not know whether Jordan picked a red card. It is publicly announced that Ricky does not know whether Jordan picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] Agentc knows that (Agentd knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Antoinette can now know that Jordan can know whether Antoinette picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Ricky","Virginia","Antoinette","Jordan"],"index":11369,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6426513791,"difficulty":0.3573486209}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jean's card is shown to Richard. Carolyn's card is shown to Carolyn. Jean's card is shown to Carolyn. Jean's card is shown to Jean. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Carolyn can now know that Lorene can know that Jean picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Richard","Carolyn","Lorene","Jean"],"index":27195,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976602793,"difficulty":0.0023397207}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gordon's card is shown to Sandra. Beata's card is shown to Beata. Gordon's card is shown to Beata. Sandra's card is shown to Gordon. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Beata can now know whether Sandra picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Sandra","Janet","Beata","Gordon"],"index":27626,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5510857701,"difficulty":0.4489142299}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anne's card is shown to Viola. Nancy's card is shown to Viola. Chris's card is shown to Chris. Nancy's card is shown to Chris. Viola's card is shown to Anne. Chris's card is shown to Anne. Nancy's card is shown to Anne. Anne's card is shown to Nancy. Nancy's card is shown to Nancy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1,2,4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] (Agentd knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1,2,4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Nancy can now know that Nancy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Viola","Chris","Anne","Nancy"],"index":20870,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9913593531,"difficulty":0.0086406469}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Socorro's card is shown to Johnnie. Karyn's card is shown to Johnnie. Johnnie's card is shown to Constance. Socorro's card is shown to Constance. Socorro's card is shown to Socorro. Constance's card is shown to Karyn. It is publicly announced that someone picked a red card. It is publicly announced that Karyn picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0","hypothesis":"Johnnie can now know whether Johnnie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Johnnie","Constance","Socorro","Karyn"],"index":19917,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9880892634,"difficulty":1.9880892634}
+{"premise":"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 Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] 0","hypothesis":"Mary can now know whether Robert picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Robert","Mary"],"index":40697,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9669574499,"difficulty":0.0330425501}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebecca's card is shown to Rebecca. Henry's card is shown to Rebecca. Richard's card is shown to Rebecca. Rebecca's card is shown to Henry. Henry's card is shown to Henry. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Rebecca can now know whether Henry can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Rebecca","Henry","Richard"],"index":37739,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.8911633492,"difficulty":1.8911633492}
+{"premise":"There are four 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 Kevin. Delores's card is shown to Kevin. Jennifer's card is shown to Kevin. Kevin's card is shown to Jennifer. Delores's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3,4 Agentc:2,3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3,4 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Delores can now know that Kevin can know that Jennifer picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Gary","Kevin","Delores","Jennifer"],"index":24536,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9974691868,"difficulty":0.0025308132}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Grace's card is shown to Grace. Charles's card is shown to Charles. Richard's card is shown to Richard. Grace's card is shown to Michelle. Richard's card is shown to Michelle. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentd knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Richard can now know that Michelle can know whether Richard picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Grace","Charles","Richard","Michelle"],"index":34931,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9365061522,"difficulty":0.0634938478}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emilia's card is shown to Phyllis. Marcia's card is shown to Phyllis. Phyllis's card is shown to Emilia. Joseph's card is shown to Emilia. Phyllis's card is shown to Joseph. Emilia's card is shown to Joseph. Joseph's card is shown to Joseph. Phyllis's card is shown to Marcia. Marcia's card is shown to Marcia. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,3 Agentc:1,2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,3 Agentc:1,2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Emilia can now know that Phyllis can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Phyllis","Emilia","Joseph","Marcia"],"index":2092,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984639883,"difficulty":0.0015360117}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Phillip's card is shown to Phillip. John's card is shown to George. Ryan's card is shown to John. George's card is shown to Ryan. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"George can now know that Phillip can know that Phillip picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Phillip","George","John","Ryan"],"index":64815,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976670742,"difficulty":0.0023329258}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Frances. Frances's card is shown to Judith. Amy's card is shown to Judith. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Amy can now know whether Frances picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Frances","Amy","Judith"],"index":17754,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.8626035452,"difficulty":1.8626035452}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to Virginia. Lisa's card is shown to Virginia. Virginia's card is shown to Steven. Virginia's card is shown to Lisa. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lisa can now know whether Lisa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Virginia","Steven","Lisa"],"index":5838,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9660279751,"difficulty":1.9660279751}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rachel's card is shown to Samuel. Anthony's card is shown to Anthony. Victor's card is shown to Rachel. Rachel's card is shown to Victor. Victor's card is shown to Victor. It is publicly announced that someone picked a red card. It is publicly announced that Rachel does not know whether Rachel picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentb knows whether (Agenta knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Anthony can now know whether Samuel can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Samuel","Anthony","Rachel","Victor"],"index":65847,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9964700937,"difficulty":0.0035299063}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lan's card is shown to Raymond. Gary's card is shown to Gary. Gary's card is shown to Lan. It is publicly announced that someone picked a red card. It is publicly announced that Gary does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Gary can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Raymond","Gary","Lan"],"index":42696,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997722507,"difficulty":0.0002277493}
+{"premise":"There are three 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 Adrian. Paul's card is shown to Adrian. 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. It is publicly announced that Adrian knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agenta knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Michael can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Michael","Adrian","Paul"],"index":14728,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985671043,"difficulty":0.0014328957}
+{"premise":"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 Lorene. Juan's card is shown to Lorene. Lorene's card is shown to Billy. Juan's card is shown to Billy. Juan's card is shown to Juan. It is publicly announced that someone picked a red card. It is publicly announced that Lorene does not know whether Lorene picked a red card. It is publicly announced that Billy picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(2) ] Agentc knows that (Agentb knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(2) ] 0","hypothesis":"Mary can now know that Billy can know whether Juan picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Lorene","Billy","Mary","Juan"],"index":31979,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6766723394,"difficulty":0.3233276606}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jill's card is shown to Alton. Alton's card is shown to Jill. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"John can now know that Sarah can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Sarah","John","Alton","Jill"],"index":254,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984810948,"difficulty":0.0015189052}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Erin's card is shown to Erin. Erin's card is shown to Martin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Martin can now know whether Whitney picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Erin","Martin","Whitney"],"index":39210,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.964279294,"difficulty":0.035720706}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebecka's card is shown to Megan. Rosemary's card is shown to Megan. Wai's card is shown to Rebecka. Rebecka's card is shown to Rosemary. Megan's card is shown to Wai. It is publicly announced that someone picked a red card. It is publicly announced that Rebecka does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Megan can now know that Rosemary picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Megan","Rebecka","Rosemary","Wai"],"index":17931,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7503600121,"difficulty":0.2496399879}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Syble's card is shown to Syble. William's card is shown to Syble. Syble's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether William picked a red card. It is publicly announced that Syble knows whether William picked a red card. It is publicly announced that Syble knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether (~(1|2))) ] Agentb knows whether (Agenta knows whether (1|2))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"William can now know whether Syble can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Syble","William"],"index":48432,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997751117,"difficulty":0.0002248883}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dennis's card is shown to Dennis. Theresa's card is shown to Dennis. Lucille's card is shown to Theresa. Lucille's card is shown to Lucille. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lucille can now know that Dennis can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dennis","Theresa","Lucille"],"index":38886,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997782111,"difficulty":0.0002217889}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frieda's card is shown to Frieda. Rosemarie's card is shown to Kassandra. Frieda's card is shown to Nathaniel. Nathaniel's card is shown to Nathaniel. Frieda's card is shown to Rosemarie. Rosemarie's card is shown to Rosemarie. It is publicly announced that someone picked a red card. It is publicly announced that Kassandra does not know whether Nathaniel picked a red card. It is publicly announced that Rosemarie picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! 4 ] (Agentb knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! 4 ] 0","hypothesis":"Kassandra can now know whether Rosemarie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Frieda","Kassandra","Nathaniel","Rosemarie"],"index":20136,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8630918264,"difficulty":0.1369081736}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gerald's card is shown to Gerald. Emily's card is shown to Emily. Barbara's card is shown to Emily. Emily's card is shown to Barbara. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Barbara can now know that Emily can know that Gerald picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Gerald","Emily","Barbara"],"index":12689,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978551269,"difficulty":0.0021448731}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Joseph. John's card is shown to Joseph. John's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agenta knows whether (Agentb knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Joseph can now know whether John can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Joseph","John"],"index":1865,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997758269,"difficulty":0.0002241731}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kate's card is shown to Tanisha. Tanisha's card is shown to William. William's card is shown to William. William's card is shown to Kate. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Tanisha","William","Kate"],"index":12694,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997767806,"difficulty":0.0002232194}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elaine's card is shown to Elaine. Janice's card is shown to Elaine. Susana's card is shown to Janice. Katherine's card is shown to Susana. Susana's card is shown to Katherine. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentc knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Katherine can now know that Susana can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Elaine","Janice","Susana","Katherine"],"index":35892,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9788283706,"difficulty":0.0211716294}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mia's card is shown to Nina. Nina's card is shown to Joseph. Mia's card is shown to Joseph. Nina's card is shown to Mia. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agenta knows that (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Nina can now know that Joseph can know whether Nina picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Nina","Joseph","Mia"],"index":61864,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9724622369,"difficulty":0.0275377631}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helen's card is shown to Sheila. Helen's card is shown to Stuart. Alice's card is shown to Helen. Sheila's card is shown to Alice. Helen's card is shown to Alice. It is publicly announced that someone picked a red card. It is publicly announced that Stuart does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentb knows that (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Stuart can now know that Alice can know whether Sheila picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sheila","Stuart","Helen","Alice"],"index":18376,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6304622293,"difficulty":0.3695377707}
+{"premise":"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 Drew. Drew's card is shown to Mary. Mary's card is shown to Ross. Ross's card is shown to Ross. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Drew can now know that Mary can know that Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Drew","Mary","Ross"],"index":46925,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9910176992,"difficulty":0.0089823008}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Micheal's card is shown to Micheal. Micheal's card is shown to Debbie. Micheal's card is shown to Joshua. Debbie's card is shown to Joshua. It is publicly announced that someone picked a red card. It is publicly announced that Debbie does not know whether Vernie picked a red card. It is publicly announced that Debbie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentc knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Debbie can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Micheal","Vernie","Debbie","Joshua"],"index":17387,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8300135732,"difficulty":1.8300135732}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edward's card is shown to Gloria. Cynthia's card is shown to Edward. Michael's card is shown to Edward. Gloria's card is shown to Cynthia. Michael's card is shown to Cynthia. It is publicly announced that someone picked a red card. It is publicly announced that Gloria does not know whether Michael picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3,4 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agentc knows that (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3,4 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Cynthia can now know that Gloria can know whether Edward picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Gloria","Edward","Cynthia","Michael"],"index":15634,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.8997974396,"difficulty":1.8997974396}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Terrance's card is shown to Terrance. Terrance's card is shown to Ola. It is publicly announced that someone picked a red card. It is publicly announced that Ola knows whether Terrance picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] 0","hypothesis":"Ola can now know whether Ola picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Terrance","Ola"],"index":50117,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9791584611,"difficulty":1.9791584611}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Claudia's card is shown to Patricia. Claudia's card is shown to Walter. Curtis's card is shown to Walter. Curtis's card is shown to Claudia. Patricia's card is shown to Curtis. Walter's card is shown to Curtis. Claudia's card is shown to Curtis. Curtis's card is shown to Curtis. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] (Agentd knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Curtis can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Patricia","Walter","Claudia","Curtis"],"index":2085,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997227788,"difficulty":0.0002772212}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Becky's card is shown to Brian. Brian's card is shown to Brian. Becky's card is shown to Vernon. Brian's card is shown to Vernon. Vernon's card is shown to Vernon. It is publicly announced that someone picked a red card. It is publicly announced that Brian knows whether or not nobody picked a red card. It is publicly announced that Becky knows whether Brian picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! (Agenta knows whether 2) ] (Agenta knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Becky can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Becky","Brian","Vernon"],"index":67090,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997734427,"difficulty":0.0002265573}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hazel's card is shown to Betty. Betty's card is shown to Hazel. Hazel's card is shown to Hazel. Betty's card is shown to Michael. 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 everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (1&2&3) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (1&2&3) ] 0","hypothesis":"Betty can now know that Hazel picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Betty","Hazel","Michael"],"index":32385,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9903401732,"difficulty":0.0096598268}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Daniel's card is shown to Daniel. Jennifer's card is shown to Daniel. Daniel's card is shown to Jennifer. Jennifer's card is shown to Jennifer. It is publicly announced that someone picked a red card. It is publicly announced that Daniel knows whether Jennifer picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Jennifer can now know that Daniel can know that Daniel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Daniel","Jennifer"],"index":17779,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9673267007,"difficulty":0.0326732993}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tracy's card is shown to Robert. Robert's card is shown to Tracy. It is publicly announced that someone picked a red card. It is publicly announced that Tracy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agenta knows that (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Robert can now know that Tracy can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Robert","Tracy"],"index":4962,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8455287218,"difficulty":1.8455287218}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Linda's card is shown to Robert. Michael's card is shown to Robert. Linda's card is shown to Linda. Linda's card is shown to Werner. Robert's card is shown to Michael. Werner's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Robert does not know whether Werner picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Werner knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentc knows whether (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Werner can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Robert","Linda","Werner","Michael"],"index":49246,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9849446416,"difficulty":0.0150553584}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Raymond's card is shown to Raymond. Raymond's card is shown to Matthew. Robert's card is shown to Matthew. Raymond's card is shown to Brooke. Raymond's card is shown to Robert. Matthew's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Raymond does not know whether Robert picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,4 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] (Agentd knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,4 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Robert can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Raymond","Matthew","Brooke","Robert"],"index":31082,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997212291,"difficulty":0.0002787709}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Douglas's card is shown to Beatrice. Grace's card is shown to Grace. Grace's card is shown to Douglas. Douglas's card is shown to Douglas. Douglas's card is shown to Alan. It is publicly announced that someone picked a red card. It is publicly announced that Beatrice knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Beatrice can now know that Grace picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Beatrice","Grace","Douglas","Alan"],"index":66886,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.99732095,"difficulty":0.00267905}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessie's card is shown to James. Doris's card is shown to Doris. Doris's card is shown to Jessie. It is publicly announced that someone picked a red card. It is publicly announced that James picked a red card. It is publicly announced that James knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! (Agenta knows whether (1|2|3)) ] Agentc knows whether (Agenta knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! (Agenta knows whether (1|2|3)) ] 0","hypothesis":"Jessie can now know whether James can know that Jessie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["James","Doris","Jessie"],"index":56104,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9455159307,"difficulty":1.9455159307}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rosa's card is shown to Kevin. Kevin's card is shown to Rosa. Rosa's card is shown to Rosa. Kevin's card is shown to Jeffrey. It is publicly announced that someone picked a red card. It is publicly announced that Kevin does not know whether Kevin picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (1&2&3) ] (Agentb knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (1&2&3) ] 0","hypothesis":"Rosa can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kevin","Rosa","Jeffrey"],"index":46671,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9966663718,"difficulty":0.0033336282}
+{"premise":"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 Kathy. Kathy's card is shown to Richard. Richard's card is shown to Richard. Frankie's card is shown to Richard. Richard's card is shown to Frankie. It is publicly announced that someone picked a red card. It is publicly announced that Frankie knows whether someone picked a red card. It is publicly announced that Richard picked a black card. It is publicly announced that Richard picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(2) ] [ ! ~(2) ] (Agenta knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(2) ] [ ! ~(2) ] 0","hypothesis":"Kathy can now know whether Frankie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kathy","Richard","Frankie"],"index":19104,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8715184331,"difficulty":1.8715184331}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Luke's card is shown to Michael. Joanne's card is shown to Sandra. Michael's card is shown to Luke. Michael's card is shown to Joanne. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Luke can now know whether Sandra picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Michael","Sandra","Luke","Joanne"],"index":67469,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9399021864,"difficulty":0.0600978136}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to John. Mary's card is shown to Johnny. John's card is shown to Mary. Karen's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1,2 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Karen can now know whether Mary picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["John","Karen","Johnny","Mary"],"index":1819,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7365050316,"difficulty":1.7365050316}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Royce's card is shown to Katherine. Katherine's card is shown to Royce. It is publicly announced that someone picked a red card. It is publicly announced that Royce knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agenta knows whether (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Katherine can now know whether Royce can know that Katherine picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Katherine","Royce"],"index":50853,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7293658853,"difficulty":1.7293658853}
+{"premise":"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 James. Mary's card is shown to Dianna. Mary's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that James does not know whether James picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"James can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["James","Dianna","Mary"],"index":54009,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985131621,"difficulty":0.0014868379}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jason's card is shown to Betty. Mack's card is shown to Betty. Betty's card is shown to Betty. Jason's card is shown to Mark. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jason can now know whether Mark picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jason","Mack","Betty","Mark"],"index":1997,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.927899003,"difficulty":0.072100997}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. Levi's card is shown to Levi. James's card is shown to Melissa. Levi's card is shown to Melissa. Melissa's card is shown to Melissa. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentb knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Levi can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["James","Levi","Melissa"],"index":31636,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9930558801,"difficulty":0.0069441199}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Albert's card is shown to Richard. Cathy's card is shown to Richard. Albert's card is shown to Albert. Albert's card is shown to Cathy. It is publicly announced that someone picked a red card. It is publicly announced that Richard picked a black card. It is publicly announced that Albert knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentc knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Cathy can now know whether Richard picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Richard","Albert","Cathy"],"index":34624,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7182793021,"difficulty":0.2817206979}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. Dwight's card is shown to James. Lela's card is shown to Dwight. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"James can now know whether Dwight can know that James picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["James","Dwight","Lela"],"index":28408,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7470138073,"difficulty":0.2529861927}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Eleanor. Eleanor's card is shown to Emily. Charles's card is shown to Emily. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Rita can now know that Rita picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Eleanor","Rita","Emily","Charles"],"index":66790,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982572198,"difficulty":0.0017427802}
+{"premise":"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. Tora's card is shown to Tora. Brandie's card is shown to Tora. Tora's card is shown to Brandie. Brandie's card is shown to Brandie. It is publicly announced that someone picked a red card. It is publicly announced that Mary does not know whether Tora picked a red card. It is publicly announced that Brandie knows whether Tora picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 2) ] Agenta knows whether (Agentc knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 2) ] 0","hypothesis":"Mary can now know whether Brandie can know whether Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mary","Tora","Brandie"],"index":44775,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9975428581,"difficulty":1.9975428581}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sarah's card is shown to Pamela. Pamela's card is shown to Sarah. Sarah's card is shown to William. William's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know that Pamela can know that Pamela picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Pamela","Sarah","William"],"index":43450,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9966154695,"difficulty":0.0033845305}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Jason. Melinda's card is shown to Jason. Jarrod's card is shown to Jarrod. Melinda's card is shown to Jarrod. Jarrod's card is shown to Jeffrey. Melinda's card is shown to Jeffrey. Jarrod's card is shown to Melinda. Melinda's card is shown to Melinda. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:2,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:2,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jarrod can now know that Jeffrey picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jason","Jarrod","Jeffrey","Melinda"],"index":16763,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9977298379,"difficulty":0.0022701621}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Willa's card is shown to Willa. Donald's card is shown to Donald. Jennie's card is shown to Jennie. It is publicly announced that someone picked a red card. It is publicly announced that Willa does not know whether Jennie picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Donald does not know whether Jennie picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Willa can now know that Donald can know whether Willa picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Willa","Donald","Jennie"],"index":17905,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8175765276,"difficulty":0.1824234724}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorothy's card is shown to Dorothy. Leah's card is shown to Dorothy. Dorothy's card is shown to William. William's card is shown to William. Dorothy's card is shown to Nicholas. Dorothy's card is shown to Leah. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentd knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"William can now know that Leah can know that Dorothy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Dorothy","William","Nicholas","Leah"],"index":61352,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9972739816,"difficulty":0.0027260184}
+{"premise":"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. Robert's card is shown to Daniel. James's card is shown to James. Nicole's card is shown to James. Nicole's card is shown to Nicole. It is publicly announced that someone picked a red card. It is publicly announced that James knows whether someone picked a red card. It is publicly announced that James does not know whether Robert picked a red card. It is publicly announced that Daniel does not know whether James picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3,4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 3) ] Agentb knows that (Agentc knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3,4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Robert can now know that James can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Daniel","Robert","James","Nicole"],"index":43648,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986376166,"difficulty":0.0013623834}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stephanie's card is shown to Mary. Mary's card is shown to Stephanie. Stephanie's card is shown to Stephanie. Elisha's card is shown to Stephanie. Edna's card is shown to Stephanie. Mary's card is shown to Edna. Edna's card is shown to Edna. It is publicly announced that someone picked a red card. It is publicly announced that Elisha does not know whether or not everyone picked a red card. It is publicly announced that Elisha does not know whether Elisha picked a red card. It is publicly announced that Stephanie knows whether Stephanie picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,3,4 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentb knows whether 2) ] Agenta knows that (Agentb knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,3,4 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Mary can now know that Stephanie can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Mary","Stephanie","Elisha","Edna"],"index":55467,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983383417,"difficulty":0.0016616583}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to John. Donna's card is shown to John. John's card is shown to Ralph. Ralph's card is shown to Ralph. Donna's card is shown to Ralph. Charles's card is shown to Ralph. Ralph's card is shown to Donna. Charles's card is shown to Donna. John's card is shown to Charles. Donna's card is shown to Charles. It is publicly announced that someone picked a red card. It is publicly announced that Charles does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2,3,4 Agentc:2,4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentc knows whether (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2,3,4 Agentc:2,4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Donna can now know whether Ralph can know whether Charles picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["John","Ralph","Donna","Charles"],"index":31387,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9978154898,"difficulty":0.0021845102}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tiffany's card is shown to Berta. Tiffany's card is shown to Tiffany. Derick's card is shown to Tiffany. Tiffany's card is shown to Derick. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Tiffany can now know that Berta picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Berta","Tiffany","Derick"],"index":9592,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982916713,"difficulty":0.0017083287}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gabriel's card is shown to Lillian. Raymond's card is shown to Gabriel. Shelia's card is shown to Shelia. Raymond's card is shown to Shelia. Shelia's card is shown to Raymond. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentb knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Gabriel can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Lillian","Gabriel","Shelia","Raymond"],"index":47598,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997778535,"difficulty":0.0002221465}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Dwayne. William's card is shown to William. Dwayne's card is shown to Kenneth. Kenneth's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth knows whether Dwayne picked a red card. It is publicly announced that William does not know whether Dwayne picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Kenneth can now know that Kenneth picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Dwayne","William","Kenneth"],"index":47271,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9393619895,"difficulty":0.0606380105}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gaye's card is shown to Gaye. Gary's card is shown to Gary. Gaye's card is shown to Albert. It is publicly announced that someone picked a red card. It is publicly announced that Albert does not know whether Albert picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] Agentc knows that (Agentb knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Albert can now know that Gary can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Gaye","Gary","Albert"],"index":43283,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997789264,"difficulty":0.0002210736}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to Lisa. Gregory's card is shown to Gregory. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] (Agenta knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0","hypothesis":"Lisa can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Lisa","Gregory"],"index":48321,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997797608,"difficulty":0.0002202392}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ralph's card is shown to Robert. Ralph's card is shown to Mable. Joseph's card is shown to Ralph. Mable's card is shown to Ralph. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mable can now know whether Robert can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joseph","Robert","Mable","Ralph"],"index":14586,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9995946288,"difficulty":0.0004053712}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lorenzo's card is shown to Arnold. Arnold's card is shown to Arnold. It is publicly announced that someone picked a red card. It is publicly announced that Arnold picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0","hypothesis":"Lorenzo can now know whether Arnold picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Lorenzo","Arnold"],"index":18084,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.732229948,"difficulty":0.267770052}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Reginald's card is shown to Reginald. Kristine's card is shown to Sheila. Sheila's card is shown to Daphne. Kristine's card is shown to Daphne. Daphne's card is shown to Daphne. It is publicly announced that someone picked a red card. It is publicly announced that Reginald picked a red card. It is publicly announced that Kristine picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! 3 ] (Agentc knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! 3 ] 0","hypothesis":"Kristine can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Reginald","Sheila","Kristine","Daphne"],"index":4271,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997141957,"difficulty":0.0002858043}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Victor's card is shown to Victor. Rebecca's card is shown to Victor. Rebecca's card is shown to Rebecca. James's card is shown to James. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"James can now know whether Victor can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Victor","Rebecca","James"],"index":42167,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9942381382,"difficulty":0.0057618618}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Takisha's card is shown to Takisha. Steven's card is shown to Takisha. Jennifer's card is shown to Jennifer. Steven's card is shown to Jennifer. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] Agenta knows that (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Takisha can now know that Jennifer can know that Jennifer picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Takisha","Jennifer","Steven"],"index":26347,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.911283493,"difficulty":1.911283493}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joyce's card is shown to Allan. Allan's card is shown to Joyce. Allan's card is shown to John. Carmen's card is shown to John. Joyce's card is shown to Carmen. Carmen's card is shown to Carmen. It is publicly announced that someone picked a red card. It is publicly announced that Joyce does not know whether Joyce picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"John can now know that Joyce picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Allan","Joyce","John","Carmen"],"index":63212,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9923977256,"difficulty":0.0076022744}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helen's card is shown to Helen. Kenneth's card is shown to Kim. Kim's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Luther does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agenta knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Helen can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Helen","Luther","Kim","Kenneth"],"index":9180,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997714162,"difficulty":0.0002285838}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kathryn's card is shown to Kathryn. Felton's card is shown to Kathryn. Robert's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 VALID? [ ! (1|2|3) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robert can now know whether Felton picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kathryn","Robert","Felton"],"index":26857,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9150643349,"difficulty":0.0849356651}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lenora's card is shown to Jennifer. Jennifer's card is shown to Lenora. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer knows whether someone picked a red card. It is publicly announced that Lenora picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! 2 ] (Agenta knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! 2 ] 0","hypothesis":"Jennifer can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Jennifer","Lenora"],"index":7233,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.5625547767,"difficulty":1.5625547767}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Debbie's card is shown to Louisa. Louisa's card is shown to Louisa. It is publicly announced that someone picked a red card. It is publicly announced that Debbie does not know whether or not everyone picked a red card. It is publicly announced that Debbie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Debbie can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Debbie","Louisa","Jim"],"index":9078,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9745937586,"difficulty":0.0254062414}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Paul. Paula's card is shown to Frances. Paul's card is shown to Sharon. Frances's card is shown to Paula. It is publicly announced that someone picked a red card. It is publicly announced that Paul does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Paula can now know that Sharon picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Paul","Frances","Sharon","Paula"],"index":58315,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8540281057,"difficulty":0.1459718943}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roger's card is shown to Roger. Roger's card is shown to David. David's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agentb knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"David can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Roger","David"],"index":14136,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997221828,"difficulty":0.0002778172}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Fanny's card is shown to Martha. Andrea's card is shown to Martha. Martha's card is shown to Kathryn. Fanny's card is shown to Kathryn. Andrea's card is shown to Kathryn. Martha's card is shown to Fanny. Martha's card is shown to Andrea. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3,4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentd knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3,4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Andrea can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Martha","Kathryn","Fanny","Andrea"],"index":32260,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983540773,"difficulty":0.0016459227}
+{"premise":"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 Crystal. Michael's card is shown to Nicole. Eddie's card is shown to Eddie. Nicole's card is shown to Michael. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Nicole can now know that Eddie can know that Nicole picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Crystal","Nicole","Eddie","Michael"],"index":34025,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9975773692,"difficulty":0.0024226308}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Calandra's card is shown to Calandra. Cory's card is shown to Calandra. Calandra's card is shown to Cory. It is publicly announced that someone picked a red card. It is publicly announced that Calandra knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agentb knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Cory can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Calandra","Cory"],"index":10800,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985664487,"difficulty":0.0014335513}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jill's card is shown to Yesenia. Barbara's card is shown to Jill. Yesenia's card is shown to Barbara. It is publicly announced that someone picked a red card. It is publicly announced that Jill does not know whether Jill picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] Agentb knows that (Agentc knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Jill can now know that Barbara can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Yesenia","Jill","Barbara"],"index":21074,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985588193,"difficulty":0.0014411807}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Delores's card is shown to Delores. Donald's card is shown to Delores. John's card is shown to Donald. Donald's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that Delores does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentc knows whether (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"John can now know whether Donald can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Delores","Donald","John"],"index":27274,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994356036,"difficulty":0.0005643964}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randall's card is shown to Brian. Frances's card is shown to Brian. Brian's card is shown to Frances. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 VALID? [ ! (1|2|3|4) ] (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Randall can now know that Brian picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Randall","Brian","Elizabeth","Frances"],"index":27759,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980480671,"difficulty":0.0019519329}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Patricia. Manuel's card is shown to Manuel. Patricia's card is shown to Jeffrey. It is publicly announced that someone picked a red card. It is publicly announced that Jeffrey knows whether Patricia picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] Agentc knows whether (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] 0","hypothesis":"Jeffrey can now know whether Manuel can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Patricia","Manuel","Jeffrey"],"index":48743,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.5364099145,"difficulty":0.4635900855}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brad's card is shown to Brad. John's card is shown to Brad. John's card is shown to John. Mildred's card is shown to John. Duane's card is shown to Mildred. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Duane can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Duane","Brad","John","Mildred"],"index":48409,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997231364,"difficulty":0.0002768636}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcus's card is shown to Marcus. Nelson's card is shown to Johnny. Laura's card is shown to Johnny. Marcus's card is shown to Nelson. Nelson's card is shown to Nelson. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Nelson can now know that Marcus can know that Marcus picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Marcus","Johnny","Nelson","Laura"],"index":32766,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9930603504,"difficulty":0.0069396496}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sara's card is shown to Sara. Jody's card is shown to Jody. It is publicly announced that someone picked a red card. It is publicly announced that Jody knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agenta knows that (Agentb knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Sara can now know that Jody can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Sara","Jody"],"index":32845,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997044206,"difficulty":0.0002955794}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judith's card is shown to Judith. Robert's card is shown to Judith. Judith's card is shown to Robert. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"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))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Judith can now know whether Robert can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Judith","Robert"],"index":57715,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997714162,"difficulty":0.0002285838}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). George's card is shown to Robert. Joseph's card is shown to Joseph. George's card is shown to Joseph. George's card is shown to George. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robert can now know that Joseph can know that George picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Robert","Joseph","George"],"index":58412,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9973579049,"difficulty":0.0026420951}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Karen's card is shown to Jack. Gilbert's card is shown to Jack. Jack's card is shown to Karen. Jack's card is shown to Gilbert. It is publicly announced that someone picked a red card. It is publicly announced that Jack picked a red card. It is publicly announced that Karen knows whether or not nobody picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Jack knows whether Gilbert picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] Agenta knows whether (Agentb knows that (~(1|2|3)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] 0","hypothesis":"Jack can now know whether Karen can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jack","Karen","Gilbert"],"index":18450,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9995774627,"difficulty":0.0004225373}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sue's card is shown to Sue. Peter's card is shown to Sue. Joseph's card is shown to Mark. Mark's card is shown to Joseph. Peter's card is shown to Peter. It is publicly announced that someone picked a red card. It is publicly announced that Sue does not know whether Joseph picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentb knows whether (Agentd knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Mark can now know whether Peter can know whether Mark picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sue","Mark","Joseph","Peter"],"index":24505,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9966337085,"difficulty":0.0033662915}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Clair's card is shown to Clair. Richard's card is shown to Clair. Randy's card is shown to Clair. Randy's card is shown to Richard. Randy's card is shown to Randy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Richard can now know that Clair can know whether Clair picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Clair","Richard","Randy"],"index":26192,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.8824831843,"difficulty":1.8824831843}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tammy's card is shown to Joseph. Paul's card is shown to Joseph. Joseph's card is shown to Paul. Paul's card is shown to Paul. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Joseph can now know whether Tammy can know that Paul picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Joseph","Tammy","Paul"],"index":54280,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9621459246,"difficulty":0.0378540754}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jennifer's card is shown to Ryan. Portia's card is shown to Ryan. Jennifer's card is shown to Portia. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] (Agenta knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Ryan can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Ryan","Jennifer","Portia"],"index":67424,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997760653,"difficulty":0.0002239347}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shakira's card is shown to Anna. Anna's card is shown to Dave. Dave's card is shown to Dave. Anna's card is shown to Shakira. Dave's card is shown to Rebecca. Rebecca's card is shown to Rebecca. It is publicly announced that someone picked a red card. It is publicly announced that Rebecca does not know whether Shakira picked a red card. It is publicly announced that Anna knows whether Shakira picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 3) ] Agentd knows that (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 3) ] 0","hypothesis":"Rebecca can now know that Shakira can know that Anna picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Anna","Dave","Shakira","Rebecca"],"index":36664,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9885317087,"difficulty":0.0114682913}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Benjamin's card is shown to Robert. Robert's card is shown to Benjamin. Paul's card is shown to Benjamin. Benjamin's card is shown to Paul. Robert's card is shown to Devon. It is publicly announced that someone picked a red card. It is publicly announced that Benjamin knows whether someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Benjamin picked a black card. It is publicly announced that Robert does not know whether Devon picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agenta knows whether 4) ] Agentd knows whether (Agenta knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Devon can now know whether Robert can know that Robert picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","Benjamin","Paul","Devon"],"index":24397,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9709387422,"difficulty":0.0290612578}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). June's card is shown to June. June's card is shown to Sonia. Sonia's card is shown to Sonia. Randolph's card is shown to Randolph. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Randolph can now know that June picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["June","Sonia","Randolph"],"index":14880,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.997964263,"difficulty":0.002035737}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Addie's card is shown to Addie. John's card is shown to Addie. Patricia's card is shown to John. John's card is shown to Roy. Roy's card is shown to Patricia. Patricia's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether Roy picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agentd knows whether (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Patricia can now know whether John can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Addie","John","Roy","Patricia"],"index":687,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997759461,"difficulty":0.0002240539}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Oswaldo's card is shown to Oswaldo. Oswaldo's card is shown to Meghan. Meghan's card is shown to Meghan. Tosha's card is shown to Meghan. Oswaldo's card is shown to Tosha. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Oswaldo can now know that Meghan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Oswaldo","Meghan","Tosha"],"index":44241,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980429411,"difficulty":0.0019570589}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Margaret's card is shown to Margaret. Margaret's card is shown to Karen. It is publicly announced that someone picked a red card. It is publicly announced that Karen does not know whether Karen picked a red card. It is publicly announced that Karen knows whether or not nobody picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"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 1)","n_announcements":3,"pbcheck":"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","hypothesis":"Karen can now know that Margaret picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Margaret","Karen"],"index":57057,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9882819057,"difficulty":1.9882819057}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maurice's card is shown to Roberto. Paul's card is shown to Paul. Maurice's card is shown to Paul. Dorothy's card is shown to Maurice. Dorothy's card is shown to Dorothy. It is publicly announced that someone picked a red card. It is publicly announced that Roberto does not know whether Dorothy picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agentb knows whether (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Paul can now know whether Roberto can know whether Paul picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Roberto","Paul","Maurice","Dorothy"],"index":58544,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9979631901,"difficulty":0.0020368099}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rhoda's card is shown to Mary. Mary's card is shown to Rhoda. Rhoda's card is shown to Rhoda. Jerold's card is shown to Rhoda. Mary's card is shown to Jerold. Jerold's card is shown to Jerold. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Rhoda can now know that Jerold can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mary","Rhoda","Jerold"],"index":46451,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984215498,"difficulty":0.0015784502}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charlotte's card is shown to Charlotte. Harry's card is shown to Susan. Bernard's card is shown to Susan. Bernard's card is shown to Bernard. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Harry can now know whether Charlotte picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charlotte","Susan","Harry","Bernard"],"index":42739,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6836573482,"difficulty":0.3163426518}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arthur's card is shown to Arthur. Eva's card is shown to Arthur. Robert's card is shown to Robert. Eva's card is shown to Eva. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Eva can now know that Robert can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Arthur","Robert","Eva"],"index":64663,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997760653,"difficulty":0.0002239347}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lauren's card is shown to Lauren. Kerry's card is shown to Kerry. Sandy's card is shown to Kerry. Lauren's card is shown to Sandy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sandy can now know that Kerry can know that Lauren picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Lauren","Kerry","Sandy"],"index":20689,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978245497,"difficulty":0.0021754503}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jerry's card is shown to Joseph. Julie's card is shown to Julie. Jerry's card is shown to Julie. Joseph's card is shown to Jerry. Julie's card is shown to Jerry. Jerry's card is shown to Jerry. Julie's card is shown to Ashley. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agenta knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ashley can now know that Joseph can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joseph","Julie","Jerry","Ashley"],"index":1657,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997805953,"difficulty":0.0002194047}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Noel's card is shown to Bettye. Ursula's card is shown to Noel. Ursula's card is shown to Ursula. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Ursula can now know that Noel picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Bettye","Noel","Ursula"],"index":46556,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982680082,"difficulty":0.0017319918}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tamara's card is shown to Tamara. Drew's card is shown to Tamara. Tamara's card is shown to Melinda. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Tamara can now know whether Melinda can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Tamara","Melinda","Drew"],"index":9490,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997708201,"difficulty":0.0002291799}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Zelma's card is shown to Paul. Paul's card is shown to Dennis. Paul's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentc knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Dennis can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Paul","Zelma","Dennis","William"],"index":29264,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997687936,"difficulty":0.0002312064}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judy's card is shown to Patricia. Roberta's card is shown to Dan. Patricia's card is shown to Dan. Judy's card is shown to Judy. It is publicly announced that someone picked a red card. It is publicly announced that Roberta does not know whether Roberta picked a red card. It is publicly announced that Patricia knows whether or not everyone picked a red card. It is publicly announced that Patricia does not know whether Dan picked a red card. It is publicly announced that Patricia picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] [ ! 2 ] (Agenta knows whether (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] [ ! 2 ] 0","hypothesis":"Roberta can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Roberta","Patricia","Dan","Judy"],"index":18289,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8109244704,"difficulty":0.1890755296}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to Steven. Steven's card is shown to Lorraine. Lorraine's card is shown to Lorraine. It is publicly announced that someone picked a red card. It is publicly announced that Steven knows whether Lorraine picked a red card. It is publicly announced that Lorraine knows whether Lorraine picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 2) ] Agenta knows that (Agentb knows whether (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Steven can now know that Lorraine can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Steven","Lorraine"],"index":45521,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997112155,"difficulty":0.0002887845}
+{"premise":"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. Karen's card is shown to Michael. Karen's card is shown to Karen. It is publicly announced that someone picked a red card. It is publicly announced that Karen picked a red card. It is publicly announced that Karen does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2)) ] (Agentb knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Karen can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Michael","Karen"],"index":42601,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997721314,"difficulty":0.0002278686}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Barbara. Gary's card is shown to Gary. Mabel's card is shown to Gary. Barbara's card is shown to Mabel. Barbara's card is shown to Clara. It is publicly announced that someone picked a red card. It is publicly announced that Gary does not know whether Clara picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] (Agentd knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Clara can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Barbara","Gary","Mabel","Clara"],"index":7596,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998452425,"difficulty":0.001547575}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Aida. Aida's card is shown to James. James's card is shown to James. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Aida can now know that Aida picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Aida","Kathleen","James","Steven"],"index":34679,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.99766469,"difficulty":0.00233531}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bobby's card is shown to Bobby. Charles's card is shown to Bobby. Angie's card is shown to Angie. Angie's card is shown to Frank. It is publicly announced that someone picked a red card. It is publicly announced that Angie picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] Agentb knows that (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Angie can now know that Charles can know whether Bobby picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Bobby","Angie","Charles","Frank"],"index":66167,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.557787478,"difficulty":0.442212522}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sandra's card is shown to James. Sandra's card is shown to Sandra. James's card is shown to Jewel. Sandra's card is shown to Jewel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"James can now know whether Lisa can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["James","Sandra","Lisa","Jewel"],"index":29446,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997734427,"difficulty":0.0002265573}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cathryn's card is shown to Anne. Walter's card is shown to Walter. Cathryn's card is shown to Walter. Walter's card is shown to Tommy. Anne's card is shown to Cathryn. It is publicly announced that someone picked a red card. It is publicly announced that Walter picked a black card. It is publicly announced that Walter does not know whether Anne picked a red card. It is publicly announced that Walter knows whether someone picked a red card. It is publicly announced that Walter does not know whether Anne picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agenta knows that (1|2|3|4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Walter can now know that Anne can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Anne","Walter","Tommy","Cathryn"],"index":64140,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999781549,"difficulty":0.000218451}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Windy's card is shown to Windy. Aleida's card is shown to Windy. Aleida's card is shown to Aleida. Windy's card is shown to Calvin. It is publicly announced that someone picked a red card. It is publicly announced that Aleida does not know whether or not everyone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] (Agentc knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Calvin can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Windy","Aleida","Calvin"],"index":20774,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983997941,"difficulty":0.0016002059}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marilyn's card is shown to Marilyn. Marilyn's card is shown to Michael. Michael's card is shown to Michael. Michael's card is shown to Katherine. It is publicly announced that someone picked a red card. It is publicly announced that Katherine knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentc knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"Katherine can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Marilyn","Michael","Katherine"],"index":22317,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983178377,"difficulty":0.0016821623}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Matthew's card is shown to Matthew. Terry's card is shown to Matthew. Matthew's card is shown to Jason. Terry's card is shown to Jason. Jason's card is shown to Terry. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jason can now know that Matthew can know that Jason picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Matthew","Jason","Terry"],"index":66014,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9964197874,"difficulty":0.0035802126}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Jesse's card is shown to Robert. Robert's card is shown to Jesse. Robert's card is shown to Hector. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jesse can now know that Robert can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Robert","Jesse","Hector"],"index":44173,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997778535,"difficulty":0.0002221465}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Liza's card is shown to Robert. Gabriel's card is shown to James. Liza's card is shown to James. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 VALID? [ ! (1|2|3|4) ] (Agentb knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Gabriel","Robert","James","Liza"],"index":13747,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984894991,"difficulty":0.0015105009}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emma's card is shown to Emma. Chandra's card is shown to Chandra. Emma's card is shown to Zachary. Kevin's card is shown to Zachary. Kevin's card is shown to Kevin. It is publicly announced that someone picked a red card. It is publicly announced that Chandra picked a red card. It is publicly announced that Emma picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! 1 ] [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! 1 ] [ ! (1|2|3|4) ] 0","hypothesis":"Emma can now know whether Chandra can know that Kevin picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Emma","Chandra","Zachary","Kevin"],"index":67323,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9310873151,"difficulty":0.0689126849}
+{"premise":"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 Amanda. William's card is shown to William. Amanda's card is shown to Zachary. Zachary's card is shown to Zachary. Amanda's card is shown to Anthony. William's card is shown to Anthony. It is publicly announced that someone picked a red card. It is publicly announced that Anthony knows whether someone picked a red card. It is publicly announced that Zachary does not know whether Anthony picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1,3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] Agenta knows whether (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1,3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Amanda can now know whether Zachary can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Amanda","William","Zachary","Anthony"],"index":23514,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9965967536,"difficulty":0.0034032464}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amanda's card is shown to Amanda. Dolores's card is shown to Amanda. Dolores's card is shown to Dolores. Mary's card is shown to Dolores. Amanda's card is shown to Mary. Dolores's card is shown to Mary. Mary's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agenta knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Amanda can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Amanda","Dolores","Mary"],"index":13621,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997755885,"difficulty":0.0002244115}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dennis's card is shown to Timothy. Joy's card is shown to Timothy. Dennis's card is shown to Joy. It is publicly announced that someone picked a red card. It is publicly announced that Dennis does not know whether Timothy picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Dennis can now know that Dennis picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Dennis","Timothy","Joy"],"index":17665,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9221695065,"difficulty":0.0778304935}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Mary can now know whether Betty picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Mary","Betty","David"],"index":39265,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8503884673,"difficulty":0.1496115327}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brittney's card is shown to Marion. Barbara's card is shown to Marion. Shawna's card is shown to Marion. Marion's card is shown to Barbara. Shawna's card is shown to Barbara. Marion's card is shown to Shawna. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Barbara can now know that Marion picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Marion","Brittney","Barbara","Shawna"],"index":25087,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9979500175,"difficulty":0.0020499825}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Velma's card is shown to Norma. Rita's card is shown to Norma. Rita's card is shown to Rita. Norma's card is shown to Bruce. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Rita can now know whether Velma can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Norma","Velma","Rita","Bruce"],"index":12133,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9191429019,"difficulty":0.0808570981}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jennifer's card is shown to Martha. Doug's card is shown to Martha. Jennifer's card is shown to Jennifer. Martha's card is shown to Doug. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Doug can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Martha","Jennifer","Doug"],"index":28479,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997072816,"difficulty":0.0002927184}
+{"premise":"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 Sheila. Christa's card is shown to Christa. Clifford's card is shown to Christa. Mary's card is shown to Christa. Christa's card is shown to Clifford. Clifford's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Mary does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,3,4 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,3,4 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Clifford can now know that Sheila picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Sheila","Christa","Clifford","Mary"],"index":40457,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8188533187,"difficulty":0.1811466813}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tanya's card is shown to Floyd. Tanya's card is shown to Rebecca. Rebecca's card is shown to Rebecca. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 VALID? [ ! (1|2|3|4) ] (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Floyd can now know that Sandra picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tanya","Floyd","Rebecca","Sandra"],"index":18068,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984220266,"difficulty":0.0015779734}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Sara's card is shown to Robert. Sara's card is shown to Harold. Howard's card is shown to Harold. Harold's card is shown to Sara. Sara's card is shown to Sara. Sara's card is shown to Howard. It is publicly announced that someone picked a red card. It is publicly announced that Robert picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:3,4 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] Agenta knows whether (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:3,4 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0","hypothesis":"Robert can now know whether Harold can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","Harold","Sara","Howard"],"index":65109,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997789264,"difficulty":0.0002210736}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Ralph. Ralph's card is shown to Catharine. Catharine's card is shown to Catharine. John's card is shown to Catharine. John's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Ralph can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Ralph","Catharine","John"],"index":11788,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984904528,"difficulty":0.0015095472}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laverne's card is shown to Penny. Laverne's card is shown to Laverne. Laverne's card is shown to Jose. 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 not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agenta knows whether (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Penny can now know whether Jose can know that Laverne picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Penny","Laverne","Jose"],"index":18323,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9870364666,"difficulty":0.0129635334}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Scott. John's card is shown to Scott. Scott's card is shown to Mark. Scott's card is shown to John. John's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Mark can now know that Scott can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Scott","Mark","John"],"index":13429,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984669089,"difficulty":0.0015330911}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edwin's card is shown to Jose. Gregory's card is shown to Eugene. Eugene's card is shown to Gregory. Gregory's card is shown to Edwin. It is publicly announced that someone picked a red card. It is publicly announced that Edwin does not know whether Jose picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] (Agentc knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Gregory can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jose","Eugene","Gregory","Edwin"],"index":25647,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997221828,"difficulty":0.0002778172}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sylvia's card is shown to Matthew. Sylvia's card is shown to Kim. Kim's card is shown to Kim. It is publicly announced that someone picked a red card. It is publicly announced that Sylvia knows whether someone picked a red card. It is publicly announced that Sylvia does not know whether or not everyone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Sylvia picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] [ ! 2 ] (Agenta knows that (~(1|2|3)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] [ ! 2 ] 0","hypothesis":"Matthew can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Matthew","Sylvia","Kim"],"index":31875,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985249639,"difficulty":0.0014750361}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jennifer's card is shown to Jennifer. Tracy's card is shown to Tracy. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Tracy can now know whether Jennifer can know that Tracy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jennifer","Tracy"],"index":55834,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9024986029,"difficulty":0.0975013971}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Katherine's card is shown to Katherine. Howard's card is shown to Howard. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] Agentb knows that (Agenta knows that (1|2))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] 0","hypothesis":"Howard can now know that Katherine can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Katherine","Howard"],"index":54362,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997745156,"difficulty":0.0002254844}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Ingrid. Ingrid's card is shown to Donald. Donald's card is shown to Donald. Scott's card is shown to Donald. Ingrid's card is shown to Scott. It is publicly announced that someone picked a red card. It is publicly announced that Scott does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Donald can now know that Ingrid can know whether Scott picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ingrid","Donald","Scott"],"index":42862,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7956443429,"difficulty":0.2043556571}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Isabel. Isabel's card is shown to Alex. Alex's card is shown to Alex. James's card is shown to Alex. Alex's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (1|2|3) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Isabel can now know that Alex picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Isabel","Alex","James"],"index":37937,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9916483164,"difficulty":0.0083516836}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcia's card is shown to Dorothy. Marcia's card is shown to Kenneth. Brenda's card is shown to Marcia. Dorothy's card is shown to Brenda. Marcia's card is shown to Brenda. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentc knows whether (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Marcia can now know whether Brenda can know whether Dorothy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Dorothy","Kenneth","Marcia","Brenda"],"index":64087,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9979111552,"difficulty":0.0020888448}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Linda's card is shown to Linda. Kristen's card is shown to Kristen. Christopher's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher does not know whether Linda picked a red card. It is publicly announced that Kristen picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(2) ] Agentb knows that (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(2) ] 0","hypothesis":"Kristen can now know that Christopher can know that Christopher picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Linda","Kristen","Christopher","Roosevelt"],"index":55378,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9561077952,"difficulty":0.0438922048}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Diane's card is shown to Diane. Britta's card is shown to Frank. Diane's card is shown to Britta. Britta's card is shown to Britta. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] (Agentb knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Frank can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Diane","Frank","Britta"],"index":63484,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997683167,"difficulty":0.0002316833}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donna's card is shown to Maxwell. Maxwell's card is shown to Maxwell. Sean's card is shown to Sean. John's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Donna can now know that Donna picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Donna","Maxwell","Sean","John"],"index":21258,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978639483,"difficulty":0.0021360517}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Harvey's card is shown to Linda. Linda's card is shown to Harvey. Linda's card is shown to Nancy. It is publicly announced that someone picked a red card. It is publicly announced that Harvey knows whether someone picked a red card. It is publicly announced that Linda does not know whether James picked a red card. It is publicly announced that Linda does not know whether James picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Nancy can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Linda","Harvey","Nancy","James"],"index":52974,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985688925,"difficulty":0.0014311075}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mike's card is shown to Joyce. Joyce's card is shown to Kathryn. Mike's card is shown to Kathryn. Joyce's card is shown to Mike. It is publicly announced that someone picked a red card. It is publicly announced that Joyce does not know whether Joyce picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Kathryn can now know whether Joyce picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Joyce","Kathryn","Mike"],"index":44949,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6471660733,"difficulty":0.3528339267}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. David's card is shown to Larry. Bonnie's card is shown to Larry. Larry's card is shown to Bonnie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"David can now know that Larry can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["David","Larry","Bonnie"],"index":55009,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997780919,"difficulty":0.0002219081}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to John. John's card is shown to Heather. Heather's card is shown to Heather. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether Heather picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"John can now know that Heather can know whether Heather picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["John","Heather"],"index":24706,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7513971329,"difficulty":0.2486028671}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Karen's card is shown to Malcolm. Karen's card is shown to Karen. It is publicly announced that someone picked a red card. It is publicly announced that Karen picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] Agenta knows that (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] 0","hypothesis":"Malcolm can now know that Karen can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Malcolm","Karen"],"index":50938,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7658615112,"difficulty":1.7658615112}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Vanessa's card is shown to John. Carlton's card is shown to John. Carlton's card is shown to Brian. Brian's card is shown to Carlton. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:4 Agentc:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"John can now know that John picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["John","Brian","Vanessa","Carlton"],"index":66980,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980260134,"difficulty":0.0019739866}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Theodore's card is shown to Jenny. Jenny's card is shown to Theodore. It is publicly announced that someone picked a red card. It is publicly announced that Jenny does not know whether or not everyone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1|2) ] (Agenta knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1|2) ] 0","hypothesis":"Jenny can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Jenny","Theodore"],"index":17916,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9981568456,"difficulty":0.0018431544}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to Pat. Ronald's card is shown to Ronald. Ronald's card is shown to Sarah. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Pat can now know that Sarah can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Pat","Ronald","Sarah"],"index":1299,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983129501,"difficulty":0.0016870499}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Melba's card is shown to Melba. Melba's card is shown to Douglas. It is publicly announced that someone picked a red card. It is publicly announced that Melba does not know whether Douglas picked a red card. It is publicly announced that Melba knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (~(1|2))) ] (Agentb knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Douglas can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Melba","Douglas"],"index":48056,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997856021,"difficulty":0.0002143979}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thomas's card is shown to Randy. Sandra's card is shown to Thomas. Billy's card is shown to Billy. Randy's card is shown to Sandra. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agenta knows whether (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Randy can now know whether Billy can know that Thomas picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Randy","Thomas","Billy","Sandra"],"index":28772,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9921370149,"difficulty":0.0078629851}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tom's card is shown to Tom. Tom's card is shown to Marie. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agenta knows whether (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Lisa can now know whether Tom can know whether Marie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lisa","Tom","Marie"],"index":24108,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9982607961,"difficulty":0.0017392039}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Suzanne's card is shown to Suzanne. It is publicly announced that someone picked a red card. It is publicly announced that Suzanne picked a red card. It is publicly announced that Sheree knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Sheree can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Sheree","Suzanne"],"index":55712,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997865558,"difficulty":0.0002134442}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Rhonda. Mary's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Rhonda does not know whether Rhonda picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] Agentb knows whether (Agenta knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Mary can now know whether Rhonda can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Rhonda","Mary"],"index":58235,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999777019,"difficulty":0.000222981}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kelley's card is shown to Kelley. Bonnie's card is shown to Kelley. Kelley's card is shown to Christine. Kelley's card is shown to Bonnie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Kelley can now know that Bonnie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kelley","Christine","Bonnie"],"index":35197,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980849028,"difficulty":0.0019150972}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Alan. Edward's card is shown to Alan. Alan's card is shown to Stacey. Edward's card is shown to Stacey. It is publicly announced that someone picked a red card. It is publicly announced that Alan does not know whether Alan picked a red card. It is publicly announced that Alan does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Alan can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Alan","John","Edward","Stacey"],"index":31961,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9977534413,"difficulty":0.0022465587}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lamar's card is shown to Lamar. Kayla's card is shown to Kayla. Lamar's card is shown to Miriam. It is publicly announced that someone picked a red card. It is publicly announced that Miriam picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(3) ] Agenta knows whether (Agentc knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Lamar can now know whether Miriam can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lamar","Kayla","Miriam"],"index":19172,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7424197197,"difficulty":0.2575802803}
+{"premise":"There are two 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 Edward. It is publicly announced that someone picked a red card. It is publicly announced that Mary knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] Agenta knows whether (Agentb knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Mary can now know whether Edward can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Mary","Edward"],"index":12478,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997736812,"difficulty":0.0002263188}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arthur's card is shown to Pedro. Shirley's card is shown to Danielle. Shirley's card is shown to Shirley. Pedro's card is shown to Arthur. Danielle's card is shown to Arthur. It is publicly announced that someone picked a red card. It is publicly announced that Shirley does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows that (Agentd knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Pedro can now know that Arthur can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Pedro","Danielle","Shirley","Arthur"],"index":9023,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9934264421,"difficulty":0.0065735579}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Paul. Paul's card is shown to Robyn. Robyn's card is shown to Robyn. Paul's card is shown to John. Robyn's card is shown to John. Paul's card is shown to Robert. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Robyn picked a black card. It is publicly announced that Robyn does not know whether Robert picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2 Agentc:1,2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 4) ] [ ! (~(1&2&3&4)) ] Agenta knows whether (Agentc knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2 Agentc:1,2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Paul can now know whether John can know whether Paul picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Paul","Robyn","John","Robert"],"index":38474,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9979731441,"difficulty":0.0020268559}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Rachel. Rachel's card is shown to William. Jeffrey's card is shown to William. William's card is shown to Jeffrey. Jeffrey's card is shown to Jeffrey. It is publicly announced that someone picked a red card. It is publicly announced that Rachel does not know whether or not everyone picked a red card. It is publicly announced that Jeffrey picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 4 ] Agenta knows that (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 4 ] 0","hypothesis":"Rachel can now know that Ralph can know that Rachel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Rachel","Ralph","William","Jeffrey"],"index":47771,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.6029481888,"difficulty":1.6029481888}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Timothy's card is shown to Ollie. Timothy's card is shown to Dennis. Ollie's card is shown to Leslie. Leslie's card is shown to Leslie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Leslie can now know whether Dennis picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ollie","Dennis","Leslie","Timothy"],"index":55792,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.927393496,"difficulty":0.072606504}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lakisha's card is shown to Kevin. Lakisha's card is shown to Jacob. Lakisha's card is shown to Hubert. Jacob's card is shown to Hubert. It is publicly announced that someone picked a red card. It is publicly announced that Jacob picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agenta knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0","hypothesis":"Lakisha can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Lakisha","Kevin","Jacob","Hubert"],"index":45287,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997839332,"difficulty":0.0002160668}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nicole's card is shown to Nicole. Richard's card is shown to Nicole. Nicole's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Richard knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0","hypothesis":"Richard can now know whether Nicole can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Nicole","Richard"],"index":60440,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9936801195,"difficulty":0.0063198805}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Julie's card is shown to Julie. Lisa's card is shown to Julie. Ashley's card is shown to Julie. Brian's card is shown to Ashley. Ashley's card is shown to Brian. Brian's card is shown to Brian. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] (Agenta knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Julie can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Julie","Lisa","Ashley","Brian"],"index":10435,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997778535,"difficulty":0.0002221465}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mohammad's card is shown to Mohammad. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Mohammad does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Mohammad can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Mohammad","Michael"],"index":32031,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999769032,"difficulty":0.000230968}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Floyd's card is shown to Floyd. Herbert's card is shown to Herbert. Floyd's card is shown to Edward. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Floyd can now know that Herbert can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Floyd","Herbert","Edward"],"index":10981,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997748733,"difficulty":0.0002251267}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dan's card is shown to Dan. Denise's card is shown to Denise. Carolyn's card is shown to Denise. Denise's card is shown to Carolyn. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Denise can now know that Carolyn can know that Dan picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Dan","Denise","Carolyn"],"index":58056,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980934262,"difficulty":0.0019065738}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tamara's card is shown to Myrtle. Tamara's card is shown to Mary. Maria's card is shown to Tamara. Mary's card is shown to Maria. Maria's card is shown to Maria. It is publicly announced that someone picked a red card. It is publicly announced that Maria picked a red card. It is publicly announced that Myrtle does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Myrtle can now know that Mary can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Myrtle","Mary","Tamara","Maria"],"index":67458,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8445049524,"difficulty":1.8445049524}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Julie's card is shown to Tracy. Kevin's card is shown to Kurtis. Kevin's card is shown to Kevin. Kurtis's card is shown to Julie. Kevin's card is shown to Julie. It is publicly announced that someone picked a red card. It is publicly announced that Tracy does not know whether Tracy picked a red card. It is publicly announced that Julie does not know whether Julie picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentd knows whether 4) ] Agentc knows that (Agentd knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentd knows whether 4) ] 0","hypothesis":"Kevin can now know that Julie can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tracy","Kurtis","Kevin","Julie"],"index":37206,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999783814,"difficulty":0.000216186}
+{"premise":"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 Mario. Martin's card is shown to Piedad. Mario's card is shown to Martin. Piedad's card is shown to Martin. Martin's card is shown to Martin. Crystal's card is shown to Martin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,2,3,4 VALID? [ ! (1|2|3|4) ] (Agenta knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1,2,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mario can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mario","Piedad","Martin","Crystal"],"index":43013,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985311031,"difficulty":0.0014688969}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edwin's card is shown to Edwin. Christopher's card is shown to Christopher. David's card is shown to Christopher. Christopher's card is shown to David. 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 David does not know whether David picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"David can now know that Edwin picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Edwin","Christopher","David"],"index":54207,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.993053019,"difficulty":0.006946981}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anna's card is shown to Katherine. Crystal's card is shown to Crystal. Jose's card is shown to Anna. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jose can now know that Katherine can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Katherine","Crystal","Jose","Anna"],"index":26149,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984145164,"difficulty":0.0015854836}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to Jacob. Johnathan's card is shown to William. William's card is shown to Martin. It is publicly announced that someone picked a red card. It is publicly announced that Jacob does not know whether Jacob picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Jacob can now know whether Johnathan can know that Johnathan picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jacob","Johnathan","William","Martin"],"index":32135,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7647013068,"difficulty":1.7647013068}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Johanna's card is shown to Kenneth. Albert's card is shown to Johanna. Albert's card is shown to Albert. Kevin's card is shown to Albert. Albert's card is shown to Kevin. Kevin's card is shown to Kevin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:3,4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentd knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:3,4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Kenneth can now know that Kevin can know that Johanna picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kenneth","Johanna","Albert","Kevin"],"index":44800,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9973989725,"difficulty":0.0026010275}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrea's card is shown to Andrea. Andrea's card is shown to Arlene. It is publicly announced that someone picked a red card. It is publicly announced that Arlene knows whether Arlene picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agenta knows whether (Agentb knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Andrea can now know whether Arlene can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Andrea","Arlene"],"index":8004,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.995916903,"difficulty":0.004083097}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Holly's card is shown to William. Brenda's card is shown to William. Holly's card is shown to Michael. Holly's card is shown to Holly. Holly's card is shown to Brenda. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether Michael picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] Agentb knows whether (Agentd knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Michael can now know whether Brenda can know whether Brenda picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["William","Michael","Holly","Brenda"],"index":28802,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.991863966,"difficulty":0.008136034}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Anthony. Paul's card is shown to Anthony. Anthony's card is shown to Paul. It is publicly announced that someone picked a red card. It is publicly announced that Anthony does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Anthony can now know whether Dale can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dale","Anthony","Paul"],"index":5219,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9996931553,"difficulty":0.0003068447}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gay's card is shown to Helen. Theodore's card is shown to Theodore. Gay's card is shown to Theodore. Helen's card is shown to Gay. Theodore's card is shown to Gay. Gay's card is shown to Gay. It is publicly announced that someone picked a red card. It is publicly announced that Theodore does not know whether or not everyone picked a red card. It is publicly announced that Gay knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] Agenta knows that (Agentb knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Helen can now know that Theodore can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Helen","Theodore","Gay"],"index":29137,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8566382527,"difficulty":1.8566382527}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gracie's card is shown to Alicia. Alicia's card is shown to Patricia. Gracie's card is shown to Gracie. It is publicly announced that someone picked a red card. It is publicly announced that Alicia picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] Agenta knows whether (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] 0","hypothesis":"Alicia can now know whether Gracie can know that Gracie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Alicia","Patricia","Gracie"],"index":15711,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9154069424,"difficulty":0.0845930576}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marie's card is shown to Deetta. Vera's card is shown to Deetta. Marie's card is shown to Marie. Vera's card is shown to Vera. It is publicly announced that someone picked a red card. It is publicly announced that Vera does not know whether Deetta picked a red card. It is publicly announced that Marie knows whether Marie picked a red card. It is publicly announced that Marie does not know whether or not everyone picked a red card. It is publicly announced that Vera knows whether Marie picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether 2) ] (Agentb knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether 2) ] 0","hypothesis":"Marie can now know that Deetta picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Deetta","Marie","Vera"],"index":28974,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6960812807,"difficulty":0.3039187193}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Kenneth. Cynthia's card is shown to Kenneth. Cynthia's card is shown to Cynthia. It is publicly announced that someone picked a red card. It is publicly announced that Cynthia picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] Agenta knows that (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] 0","hypothesis":"Kenneth can now know that Cynthia can know whether Cynthia picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Kenneth","Cynthia"],"index":39108,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9881899357,"difficulty":0.0118100643}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Loretta's card is shown to Keith. Keith's card is shown to Whitney. Keith's card is shown to Loretta. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Whitney can now know whether Naomi picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Keith","Whitney","Loretta","Naomi"],"index":12824,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8851640821,"difficulty":0.1148359179}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brent's card is shown to Joel. Caridad's card is shown to Caridad. Caridad's card is shown to Gary. Gary's card is shown to Gary. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Joel can now know that Joel picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Joel","Caridad","Brent","Gary"],"index":36465,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9921616912,"difficulty":0.0078383088}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marquis's card is shown to Marquis. Marquis's card is shown to Jorge. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Julie can now know whether Marquis can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Julie","Marquis","Jorge"],"index":8488,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9995020628,"difficulty":0.0004979372}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janice's card is shown to Janice. Janice's card is shown to Virginia. Jay's card is shown to Virginia. Janice's card is shown to Jay. It is publicly announced that someone picked a red card. It is publicly announced that Jay does not know whether Jay picked a red card. It is publicly announced that Virginia knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Jay can now know whether Jay picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Janice","Virginia","Jay"],"index":62613,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9883734584,"difficulty":1.9883734584}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to George. Susan's card is shown to Robert. Susan's card is shown to Susan. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth does not know whether Kenneth picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] Agentb knows whether (Agentc knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Kenneth can now know whether Robert can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["George","Kenneth","Robert","Susan"],"index":37836,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997752309,"difficulty":0.0002247691}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Margaret's card is shown to Margaret. Margaret's card is shown to Kendra. William's card is shown to Kendra. Kendra's card is shown to Kendra. Margaret's card is shown to Jennifer. Jennifer's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1,4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Margaret can now know whether Kendra can know whether Jennifer picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Margaret","William","Kendra","Jennifer"],"index":15042,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9986812472,"difficulty":0.0013187528}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nancy's card is shown to Larry. Herbert's card is shown to Larry. Herbert's card is shown to Herbert. It is publicly announced that someone picked a red card. It is publicly announced that Nancy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Nancy can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Nancy","Larry","Herbert"],"index":43863,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997723699,"difficulty":0.0002276301}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Richard. Bryant's card is shown to Richard. Richard's card is shown to Bryant. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] Agenta knows that (Agentb knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] 0","hypothesis":"Richard can now know that Bryant can know that Bryant picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Richard","Bryant"],"index":66949,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9876438975,"difficulty":0.0123561025}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cynthia's card is shown to Debbie. Donald's card is shown to Debbie. Donald's card is shown to Cynthia. Debbie's card is shown to Donald. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Donald can now know that Debbie can know whether Debbie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Debbie","Cynthia","Donald"],"index":41596,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8921531439,"difficulty":1.8921531439}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Wilfred. Wilfred's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether John picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"John can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Wilfred","John"],"index":29286,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997183681,"difficulty":0.0002816319}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Larry. Henry's card is shown to Larry. Robert's card is shown to Robert. Henry's card is shown to Henry. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ralph can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ralph","Larry","Robert","Henry"],"index":37159,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9938533306,"difficulty":0.0061466694}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arlene's card is shown to Arlene. Lyndon's card is shown to Lyndon. Martin's card is shown to Lyndon. It is publicly announced that someone picked a red card. It is publicly announced that Arlene does not know whether Lyndon picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Arlene can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Arlene","Lyndon","Martin"],"index":39387,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984593391,"difficulty":0.0015406609}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Denise. Denise's card is shown to Flora. Flora's card is shown to Flora. It is publicly announced that someone picked a red card. It is publicly announced that Flora knows whether Flora picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Denise can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Denise","Flora","Robert"],"index":20980,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997702241,"difficulty":0.0002297759}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Evon's card is shown to Helen. Sondra's card is shown to Helen. Evon's card is shown to Evon. Helen's card is shown to Sondra. It is publicly announced that someone picked a red card. It is publicly announced that Helen knows whether Evon picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Helen can now know whether Evon picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Helen","Evon","Sondra"],"index":15281,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7189073563,"difficulty":1.7189073563}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Monica's card is shown to Rudolph. Monica's card is shown to Heather. Monica's card is shown to Monica. It is publicly announced that someone picked a red card. It is publicly announced that Rudolph does not know whether Rudolph picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] (Agentb knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Heather can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Rudolph","Heather","Monica"],"index":36365,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986555576,"difficulty":0.0013444424}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Melvin's card is shown to Ferne. Ronnie's card is shown to Melvin. Ferne's card is shown to Melvin. It is publicly announced that someone picked a red card. It is publicly announced that Ferne does not know whether Melvin picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Ronnie can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Ronnie","Ferne","Melvin"],"index":21496,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984881878,"difficulty":0.0015118122}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebekah's card is shown to Joyce. Mary's card is shown to Tommy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 VALID? [ ! (1|2|3|4) ] (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Joyce can now know that Rebekah picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Joyce","Rebekah","Tommy","Mary"],"index":41536,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984595776,"difficulty":0.0015404224}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. David's card is shown to Julia. Julia's card is shown to Julia. It is publicly announced that someone picked a red card. It is publicly announced that David picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 1 ] (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 1 ] 0","hypothesis":"David can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["David","Julia"],"index":62027,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976547956,"difficulty":0.0023452044}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Herbert's card is shown to Stephanie. John's card is shown to John. John's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that John picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0","hypothesis":"Herbert can now know that John picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Stephanie","Herbert","John","David"],"index":19791,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7280882001,"difficulty":0.2719117999}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cheryl's card is shown to Lance. Patrick's card is shown to Lance. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 VALID? [ ! (1|2|3) ] (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Cheryl can now know that Patrick picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Cheryl","Lance","Patrick"],"index":28794,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984440207,"difficulty":0.0015559793}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Beth's card is shown to Beth. Marguerite's card is shown to Beth. Marguerite's card is shown to Marguerite. Beth's card is shown to Donna. Donna's card is shown to Donna. It is publicly announced that someone picked a red card. It is publicly announced that Marguerite does not know whether Beth picked a red card. It is publicly announced that Marguerite knows whether Marguerite picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! (1&2&3) ] Agentc knows that (Agentb knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! (1&2&3) ] 0","hypothesis":"Donna can now know that Marguerite can know whether Beth picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Beth","Marguerite","Donna"],"index":59025,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9354383349,"difficulty":0.0645616651}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Jennifer. Jennifer's card is shown to Charles. Colleen's card is shown to Charles. Charles's card is shown to Charles. It is publicly announced that someone picked a red card. It is publicly announced that Colleen knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] Agenta knows that (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Jennifer can now know that Colleen can know that Jennifer picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jennifer","Colleen","Charles"],"index":27948,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.994764924,"difficulty":0.005235076}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ardella's card is shown to Kevin. Ardella's card is shown to Ardella. It is publicly announced that someone picked a red card. It is publicly announced that Kevin knows whether or not nobody picked a red card. It is publicly announced that Ardella knows whether Kevin picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (Agentb knows whether 1) ] Agentb knows that (Agenta knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Ardella can now know that Kevin can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Kevin","Ardella"],"index":49578,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986339211,"difficulty":0.0013660789}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcella's card is shown to Marcella. David's card is shown to Marcella. Marcella's card is shown to Numbers. Numbers's card is shown to Numbers. David's card is shown to David. Marcella's card is shown to Mona. Numbers's card is shown to Mona. It is publicly announced that someone picked a red card. It is publicly announced that Marcella does not know whether Mona picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agentd knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Mona can now know that Marcella can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Marcella","Numbers","David","Mona"],"index":58102,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997058511,"difficulty":0.0002941489}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sharon's card is shown to Sharon. Sharon's card is shown to Kenneth. Kenneth's card is shown to Lynwood. Lynwood's card is shown to Lynwood. Sharon's card is shown to Anthony. Anthony's card is shown to Anthony. It is publicly announced that someone picked a red card. It is publicly announced that Sharon does not know whether or not everyone picked a red card. It is publicly announced that Sharon picked a red card. It is publicly announced that Sharon does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentd knows that (Agentc knows whether (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Anthony can now know that Lynwood can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sharon","Kenneth","Lynwood","Anthony"],"index":16732,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997040629,"difficulty":0.0002959371}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Enoch's card is shown to Enoch. Marshall's card is shown to Enoch. Enoch's card is shown to Marshall. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Enoch can now know that Charles can know that Marshall picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Charles","Enoch","Marshall"],"index":54997,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978985786,"difficulty":0.0021014214}
+{"premise":"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 John. Carlos's card is shown to John. Roy's card is shown to Judy. Carlos's card is shown to Judy. John's card is shown to Roy. Judy's card is shown to Roy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3,4 Agentc:1,2 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3,4 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Judy can now know whether John can know whether Carlos picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["John","Judy","Roy","Carlos"],"index":10947,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9985290766,"difficulty":0.0014709234}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mark's card is shown to Mark. Mark's card is shown to Eric. Alexis's card is shown to Alexis. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mark can now know that Mark picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mark","Kelly","Eric","Alexis"],"index":30366,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9956979752,"difficulty":0.0043020248}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Debra. Randee's card is shown to Randee. Betty's card is shown to Randee. Randee's card is shown to Ester. Debra's card is shown to Betty. It is publicly announced that someone picked a red card. It is publicly announced that Randee picked a black card. It is publicly announced that Randee does not know whether Debra picked a red card. It is publicly announced that Randee knows whether someone picked a red card. It is publicly announced that Randee does not know whether Debra picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agentc knows whether (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Randee can now know whether Ester can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Debra","Randee","Ester","Betty"],"index":51172,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8459839225,"difficulty":0.1540160775}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Floyd's card is shown to Robert. Robert's card is shown to Floyd. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Toni can now know whether Robert can know whether Toni picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Toni","Robert","Floyd","Karen"],"index":45380,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9979121089,"difficulty":0.0020878911}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bernice's card is shown to Bernice. Jennifer's card is shown to Bernice. Luella's card is shown to Bernice. Luella's card is shown to Jennifer. Bernice's card is shown to Luella. Luella's card is shown to Luella. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jennifer can now know whether Luella can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Bernice","Jennifer","Luella"],"index":35110,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997122884,"difficulty":0.0002877116}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. Mary's card is shown to Walter. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"David can now know whether Walter picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","David","Walter","Naomi"],"index":8041,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9688171744,"difficulty":0.0311828256}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charlie's card is shown to Mary. Willard's card is shown to Willard. Charlie's card is shown to Charlie. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether William picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] (Agentb knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Mary can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["William","Mary","Willard","Charlie"],"index":56386,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984591007,"difficulty":0.0015408993}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Monica's card is shown to Monica. Neal's card is shown to Neal. Monica's card is shown to Duane. Duane's card is shown to Duane. It is publicly announced that someone picked a red card. It is publicly announced that Neal picked a red card. It is publicly announced that Duane knows whether Duane picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (Agentc knows whether 3) ] Agentc knows that (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Duane can now know that Monica can know whether Neal picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Monica","Neal","Duane"],"index":57014,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.5989060998,"difficulty":1.5989060998}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charlotte's card is shown to William. Wanda's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that Charlotte does not know whether William picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Charlotte can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Charlotte","Wanda","William"],"index":31647,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998478353,"difficulty":0.001521647}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Mary. Martha's card is shown to Mary. John's card is shown to Mary. Mary's card is shown to Martha. Brittany's card is shown to Brittany. Mary's card is shown to John. Brittany's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:1 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] (Agentd knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:1 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"John can now know whether John picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Martha","Brittany","John"],"index":43796,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8628816009,"difficulty":1.8628816009}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Fernando's card is shown to Lorraine. Lorraine's card is shown to Rebecca. Rebecca's card is shown to Rebecca. Rebecca's card is shown to Fernando. It is publicly announced that someone picked a red card. It is publicly announced that Rebecca picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (1|2|3|4) ] (Agentb knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (1|2|3|4) ] 0","hypothesis":"Ernest can now know that Fernando picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lorraine","Ernest","Rebecca","Fernando"],"index":13513,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8625956178,"difficulty":0.1374043822}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Jose. Betty's card is shown to Betty. It is publicly announced that someone picked a red card. It is publicly announced that Jose does not know whether Jose picked a red card. It is publicly announced that Betty does not know whether Jose picked a red card. It is publicly announced that Jose does not know whether or not everyone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1&2) ] Agenta knows that (Agentb knows that (1&2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1&2) ] 0","hypothesis":"Jose can now know that Betty can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jose","Betty"],"index":32042,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9857546091,"difficulty":0.0142453909}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Samuel. Fred's card is shown to James. James's card is shown to Ervin. Fred's card is shown to Ervin. Samuel's card is shown to Fred. Ervin's card is shown to Fred. Fred's card is shown to Fred. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:2,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:2,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ervin can now know that James picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Samuel","James","Ervin","Fred"],"index":31573,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9979779124,"difficulty":0.0020220876}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thelma's card is shown to Sergio. Marian's card is shown to Sergio. Thelma's card is shown to Thelma. Marian's card is shown to Thelma. Sergio's card is shown to Randy. Randy's card is shown to Marian. Marian's card is shown to Marian. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,4 Agentc:1 Agentd:3,4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentd knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,4 Agentc:1 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Randy can now know whether Marian can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sergio","Thelma","Randy","Marian"],"index":5228,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9916389585,"difficulty":0.0083610415}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nicole's card is shown to Kimberly. Kimberly's card is shown to Nicole. Nicole's card is shown to Nicole. It is publicly announced that someone picked a red card. It is publicly announced that Kimberly picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! 1 ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Kimberly can now know that Edward picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kimberly","Nicole","Edward"],"index":38169,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8363990188,"difficulty":0.1636009812}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Pauline's card is shown to Edmund. Pauline's card is shown to Joella. Shane's card is shown to Joella. Edmund's card is shown to Shane. It is publicly announced that someone picked a red card. It is publicly announced that Edmund does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Joella can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Edmund","Joella","Pauline","Shane"],"index":31024,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7401973009,"difficulty":1.7401973009}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Fabiola's card is shown to Tony. Fabiola's card is shown to Melissa. Tony's card is shown to Fabiola. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Tony can now know whether Melissa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tony","Garrett","Melissa","Fabiola"],"index":18939,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9457307458,"difficulty":0.0542692542}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tanya's card is shown to Peggy. Tanya's card is shown to Daniel. Daniel's card is shown to Tanya. It is publicly announced that someone picked a red card. It is publicly announced that Tanya picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Peggy can now know whether Daniel picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Peggy","Daniel","Tanya"],"index":19879,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9613566995,"difficulty":1.9613566995}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robin's card is shown to Carl. Tara's card is shown to Carl. Tara's card is shown to Tara. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robin can now know whether Robin picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Robin","Carl","Alex","Tara"],"index":10856,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9719154239,"difficulty":0.0280845761}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Candace's card is shown to Michael. Betty's card is shown to Candace. It is publicly announced that someone picked a red card. It is publicly announced that Candace picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(3) ] (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Betty can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Betty","Michael","Candace"],"index":17185,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999730885,"difficulty":0.000269115}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jo's card is shown to Michelle. Lasandra's card is shown to Josiah. Michelle's card is shown to Lasandra. Lasandra's card is shown to Jo. Jo's card is shown to Jo. It is publicly announced that someone picked a red card. It is publicly announced that Lasandra does not know whether or not everyone picked a red card. It is publicly announced that Lasandra picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! 3 ] Agentc knows that (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:1 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! 3 ] 0","hypothesis":"Lasandra can now know that Jo can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Michelle","Josiah","Lasandra","Jo"],"index":27656,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9897340536,"difficulty":0.0102659464}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Sol. Mary's card is shown to Sol. Michael's card is shown to Edward. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know whether Sol can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Michael","Sol","Mary","Edward"],"index":29204,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.920658052,"difficulty":1.920658052}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joel's card is shown to Joel. Joel's card is shown to Cameron. Cameron's card is shown to Cameron. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agentb knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Cameron can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Joel","Cameron"],"index":12242,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985876083,"difficulty":0.0014123917}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Camille's card is shown to Camille. Camille's card is shown to Debbie. It is publicly announced that someone picked a red card. It is publicly announced that Camille does not know whether Debbie picked a red card. It is publicly announced that Camille does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Debbie can now know whether Camille can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Camille","Debbie"],"index":60522,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9838411212,"difficulty":0.0161588788}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Richard. Richard's card is shown to Scott. Scott's card is shown to Scott. It is publicly announced that someone picked a red card. It is publicly announced that Scott knows whether Richard picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] Agentb knows that (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Scott can now know that Richard can know that Scott picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Richard","Scott"],"index":39508,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9919495583,"difficulty":0.0080504417}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Manuel's card is shown to Helene. Barbara's card is shown to Barbara. Helene's card is shown to Manuel. It is publicly announced that someone picked a red card. It is publicly announced that Manuel picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Barbara can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Helene","Barbara","Manuel"],"index":66058,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.637575984,"difficulty":0.362424016}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Emilio's card is shown to Robert. Phillip's card is shown to Emilio. Emilio's card is shown to Phillip. Phillip's card is shown to Phillip. It is publicly announced that someone picked a red card. It is publicly announced that Robert does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows whether (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Ryan can now know whether Robert can know whether Emilio picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ryan","Robert","Emilio","Phillip"],"index":57940,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9984710813,"difficulty":0.0015289187}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amanda's card is shown to William. William's card is shown to Tammy. Tammy's card is shown to Amanda. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Tammy can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["William","Tammy","Amanda"],"index":27725,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985432625,"difficulty":0.0014567375}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Erica's card is shown to Marlon. James's card is shown to James. Erica's card is shown to James. Erica's card is shown to Erica. It is publicly announced that someone picked a red card. It is publicly announced that Erica does not know whether Michael picked a red card. It is publicly announced that Marlon does not know whether James picked a red card. It is publicly announced that Erica does not know whether or not everyone picked a red card. It is publicly announced that James does not know whether Michael picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 4) ] (Agenta knows whether 4)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Marlon can now know whether Michael picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Marlon","James","Erica","Michael"],"index":49206,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.5288760066,"difficulty":1.5288760066}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Scott. Stephen's card is shown to Doug. Doug's card is shown to Doug. It is publicly announced that someone picked a red card. It is publicly announced that Stephen does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Scott can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Stephen","Scott","Doug"],"index":50222,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997709394,"difficulty":0.0002290606}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Warren's card is shown to Warren. Patsy's card is shown to Linda. Patsy's card is shown to Patsy. It is publicly announced that someone picked a red card. It is publicly announced that Linda does not know whether or not everyone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (1&2&3&4) ] (Agentc knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (1&2&3&4) ] 0","hypothesis":"Linda can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Kathleen","Warren","Linda","Patsy"],"index":64143,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9907185435,"difficulty":0.0092814565}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Nicolasa. Robert's card is shown to Anthony. Anthony's card is shown to Robert. Nicolasa's card is shown to Samuel. It is publicly announced that someone picked a red card. It is publicly announced that Nicolasa picked a black card. It is publicly announced that Nicolasa does not know whether Samuel picked a red card. It is publicly announced that Nicolasa does not know whether Samuel picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] Agenta knows that (Agentb knows that (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Nicolasa can now know that Anthony can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Nicolasa","Anthony","Robert","Samuel"],"index":13873,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999777019,"difficulty":0.000222981}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to Claude. Emilia's card is shown to Steven. Claude's card is shown to John. Emilia's card is shown to John. Steven's card is shown to Emilia. Emilia's card is shown to Emilia. It is publicly announced that someone picked a red card. It is publicly announced that Emilia picked a red card. It is publicly announced that Claude does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:1,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentd knows whether (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:1,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Emilia can now know whether Steven can know that Steven picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Claude","Steven","John","Emilia"],"index":25787,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9200748801,"difficulty":0.0799251199}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frances's card is shown to Danny. David's card is shown to Danny. Thomas's card is shown to Thomas. David's card is shown to Thomas. Danny's card is shown to Frances. Thomas's card is shown to David. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Frances can now know whether Danny can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Danny","Thomas","Frances","David"],"index":40865,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997031093,"difficulty":0.0002968907}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leo's card is shown to Leo. Deborah's card is shown to Sean. Deborah's card is shown to Deborah. Michael's card is shown to Deborah. Sean's card is shown to Michael. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Michael does not know whether Deborah picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:3,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentc knows that (Agentd knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:3,4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Deborah can now know that Michael can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Leo","Sean","Deborah","Michael"],"index":55449,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997803569,"difficulty":0.0002196431}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Naomi's card is shown to William. Cynthia's card is shown to Dana. Cynthia's card is shown to Naomi. Cynthia's card is shown to Cynthia. It is publicly announced that someone picked a red card. It is publicly announced that Naomi does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agentd knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Cynthia can now know that William can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["William","Dana","Naomi","Cynthia"],"index":44986,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9996962547,"difficulty":0.0003037453}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kim's card is shown to Louis. Louis's card is shown to Kim. Mark's card is shown to Kim. It is publicly announced that someone picked a red card. It is publicly announced that Mark knows whether Mark picked a red card. It is publicly announced that Mark knows whether or not everyone picked a red card. It is publicly announced that Louis does not know whether Mark picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Louis can now know that Louis picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Louis","Mark","Kim"],"index":10520,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8397103548,"difficulty":1.8397103548}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robby's card is shown to Andrew. Ted's card is shown to Andrew. Robby's card is shown to Robby. Andrew's card is shown to Ted. Robby's card is shown to Ted. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robby can now know whether Ted picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Andrew","Robby","Ted"],"index":25573,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7239716053,"difficulty":0.2760283947}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Lynette. Lynette's card is shown to Lynette. Theron's card is shown to Lynette. John's card is shown to Theron. Lynette's card is shown to Daniel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Theron can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["John","Lynette","Theron","Daniel"],"index":65067,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997811913,"difficulty":0.0002188087}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hazel's card is shown to Hazel. Bessie's card is shown to Clifford. It is publicly announced that someone picked a red card. It is publicly announced that Hazel does not know whether or not everyone picked a red card. It is publicly announced that Clifford does not know whether Clifford picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 2) ] Agentb knows whether (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Clifford can now know whether Hazel can know whether Hazel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Hazel","Clifford","Bessie"],"index":51845,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9928869605,"difficulty":0.0071130395}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eloise's card is shown to Eloise. Michelle's card is shown to Eloise. Michelle's card is shown to Michelle. Marion's card is shown to Michelle. Bruce's card is shown to Marion. Michelle's card is shown to Bruce. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Marion can now know that Michelle can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Eloise","Michelle","Marion","Bruce"],"index":20441,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.964502573,"difficulty":0.035497427}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brian's card is shown to Bob. Brian's card is shown to Brian. Bob's card is shown to Benjamin. Brian's card is shown to Benjamin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know that Bob can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Bob","Brian","Robert","Benjamin"],"index":28710,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997751117,"difficulty":0.0002248883}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marvin's card is shown to Marvin. Aaron's card is shown to Marvin. Marvin's card is shown to Aaron. Aaron's card is shown to Aaron. Thomas's card is shown to Aaron. Aaron's card is shown to Thomas. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Marvin can now know whether Thomas can know that Marvin picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Marvin","Aaron","Thomas"],"index":30373,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8025584221,"difficulty":0.1974415779}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Vincent. Regina's card is shown to Regina. Michael's card is shown to Karen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know that Regina picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Vincent","Regina","Michael","Karen"],"index":62570,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983429909,"difficulty":0.0016570091}
+{"premise":"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. Deborah's card is shown to Mary. Katie's card is shown to Katie. Mary's card is shown to Deborah. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Mary can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Mary","Katie","Deborah"],"index":10573,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983503819,"difficulty":0.0016496181}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paula's card is shown to Paula. David's card is shown to Marianne. Marianne's card is shown to Marianne. It is publicly announced that someone picked a red card. It is publicly announced that Paula does not know whether Marianne picked a red card. It is publicly announced that David knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Paula can now know that David picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Paula","David","Marianne","Catherine"],"index":49917,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9948700666,"difficulty":0.0051299334}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eric's card is shown to Eric. Kathleen's card is shown to Eric. Eric's card is shown to Leona. Leona's card is shown to Kathleen. Kathleen's card is shown to Kathleen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Eric can now know that Eric picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Eric","Leona","Kathleen"],"index":41001,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9961357713,"difficulty":0.0038642287}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Fred's card is shown to Mary. George's card is shown to Fred. Coleen's card is shown to Coleen. Mary's card is shown to George. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentd knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"George can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Fred","Coleen","George"],"index":43960,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983778,"difficulty":0.0016222}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Teresa's card is shown to Doris. Kathryn's card is shown to Doris. Teresa's card is shown to Teresa. Kathryn's card is shown to Teresa. Doris's card is shown to Linda. Linda's card is shown to Kathryn. Kathryn's card is shown to Kathryn. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,4 Agentc:1 Agentd:3,4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,4 Agentc:1 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Doris can now know whether Kathryn can know whether Kathryn picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Doris","Teresa","Linda","Kathryn"],"index":62289,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9959988594,"difficulty":0.0040011406}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ginny's card is shown to Ginny. Willis's card is shown to Ginny. Ginny's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ginny can now know that Jennifer can know that Ginny picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Ginny","Jennifer","Willis","Lynda"],"index":30854,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9962790608,"difficulty":0.0037209392}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Salvador's card is shown to Salvador. Billy's card is shown to Paul. Levi's card is shown to Paul. Paul's card is shown to Levi. Levi's card is shown to Levi. It is publicly announced that someone picked a red card. It is publicly announced that Salvador does not know whether Levi picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Salvador can now know whether Billy can know whether Levi picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Salvador","Paul","Billy","Levi"],"index":15300,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.997920692,"difficulty":0.002079308}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). George's card is shown to George. George's card is shown to Antonia. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that George does not know whether Antonia picked a red card. It is publicly announced that George does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Antonia can now know whether George can know that George picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["George","Antonia"],"index":45540,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9848077297,"difficulty":0.0151922703}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judy's card is shown to Michael. Laci's card is shown to Laci. Judy's card is shown to Laci. Mary's card is shown to Laci. Mary's card is shown to Judy. Judy's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Judy does not know whether Judy picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentb knows that (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3,4 Agentc:4 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Laci can now know that Mary can know that Judy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Michael","Laci","Judy","Mary"],"index":54823,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.993497014,"difficulty":0.006502986}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helen's card is shown to Helen. Devon's card is shown to Devon. Sierra's card is shown to Devon. Helen's card is shown to Sierra. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Devon can now know whether Sierra can know that Sierra picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Helen","Devon","Sierra"],"index":55756,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5656923056,"difficulty":0.4343076944}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mark's card is shown to Mark. Mark's card is shown to Julie. Mark's card is shown to James. Dorothy's card is shown to James. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"James can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mark","Julie","James","Dorothy"],"index":48296,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9944967628,"difficulty":0.0055032372}
+{"premise":"There are two 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 Kim. Kim's card is shown to Kim. It is publicly announced that someone picked a red card. It is publicly announced that Kim knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agentb knows that (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Kim can now know that Mary can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Mary","Kim"],"index":51817,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982206225,"difficulty":0.0017793775}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Curtis's card is shown to Roy. Roy's card is shown to Curtis. Curtis's card is shown to Curtis. Curtis's card is shown to Renita. Renita's card is shown to Renita. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Renita can now know whether Curtis can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Roy","Curtis","Renita"],"index":40649,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997811913,"difficulty":0.0002188087}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Esther's card is shown to Esther. Craig's card is shown to Esther. Jason's card is shown to Esther. Craig's card is shown to Guy. Craig's card is shown to Craig. Craig's card is shown to Jason. It is publicly announced that someone picked a red card. It is publicly announced that Esther does not know whether Guy picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] Agentd knows that (Agentc knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Jason can now know that Craig can know whether Guy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Esther","Guy","Craig","Jason"],"index":60373,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8871403337,"difficulty":0.1128596663}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thomas's card is shown to Sarah. Sarah'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 someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Sarah can now know whether Sarah picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Sarah","Thomas"],"index":40733,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7719162107,"difficulty":1.7719162107}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carla's card is shown to Ana. Christina's card is shown to Ana. Ana's card is shown to Rachelle. Christina's card is shown to Rachelle. Rachelle's card is shown to Christina. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,4 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ana can now know whether Rachelle can know that Carla picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ana","Carla","Rachelle","Christina"],"index":49407,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9117313027,"difficulty":0.0882686973}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Bert. Daniel's card is shown to Bert. Bert's card is shown to James. Bert's card is shown to Daniel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Bert can now know that James picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Bert","James","Daniel"],"index":39604,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9981303811,"difficulty":0.0018696189}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Susan's card is shown to Jeanne. Jeanne's card is shown to Donnell. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Susan can now know whether Jeanne can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jeanne","Susan","Donnell"],"index":3213,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997034669,"difficulty":0.0002965331}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cheryl's card is shown to Cheryl. Stacy's card is shown to Cheryl. Andrew's card is shown to Stacy. Cheryl's card is shown to Andrew. Cheryl's card is shown to Elouise. Stacy's card is shown to Elouise. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Stacy can now know that Cheryl picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Cheryl","Stacy","Andrew","Elouise"],"index":49182,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9977737069,"difficulty":0.0022262931}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Justin's card is shown to Stephanie. Justin's card is shown to Justin. Otis's card is shown to Justin. Donald's card is shown to Justin. Justin's card is shown to Donald. Donald's card is shown to Donald. It is publicly announced that someone picked a red card. It is publicly announced that Stephanie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Justin can now know that Donald picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Stephanie","Justin","Otis","Donald"],"index":23962,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6738021374,"difficulty":0.3261978626}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Teddy's card is shown to Emily. Emily's card is shown to Teddy. Jennifer's card is shown to Teddy. Teddy's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Teddy can now know whether Jennifer picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Emily","Teddy","Jennifer"],"index":63467,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7084209323,"difficulty":1.7084209323}
+{"premise":"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 Mary. Mary's card is shown to Nichelle. Frank's card is shown to Frank. It is publicly announced that someone picked a red card. It is publicly announced that Frank does not know whether Nichelle picked a red card. It is publicly announced that Mary does not know whether Mary picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] Agenta knows whether (Agentb knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Mary can now know whether Nichelle can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mary","Nichelle","Frank"],"index":48991,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997057319,"difficulty":0.0002942681}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Duane's card is shown to Duane. Myrna's card is shown to Duane. Myrna's card is shown to Myrna. Terry's card is shown to Olympia. Myrna's card is shown to Terry. It is publicly announced that someone picked a red card. It is publicly announced that Myrna does not know whether Terry picked a red card. It is publicly announced that Myrna knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agentc knows whether (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Olympia can now know whether Terry can know that Olympia picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Duane","Myrna","Olympia","Terry"],"index":59614,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8494510651,"difficulty":0.1505489349}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donald's card is shown to Donald. Martha's card is shown to Helen. Maria's card is shown to Martha. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Helen can now know whether Maria picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Maria","Donald","Helen","Martha"],"index":33187,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8358110785,"difficulty":0.1641889215}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ada's card is shown to Ada. William's card is shown to Ada. Ada's card is shown to Harry. William's card is shown to Harry. Ada's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Ada can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Ada","Harry","William"],"index":65218,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983385801,"difficulty":0.0016614199}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Micheal's card is shown to Sonia. Micheal's card is shown to Micheal. It is publicly announced that someone picked a red card. It is publicly announced that Sonia knows whether Sonia picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Sonia can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Sonia","Micheal"],"index":10963,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986200333,"difficulty":0.0013799667}
+{"premise":"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 Marie. It is publicly announced that someone picked a red card. It is publicly announced that Marie does not know whether Marie picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Robert can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Robert","Marie"],"index":911,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985979199,"difficulty":0.0014020801}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Peggy's card is shown to Peggy. Mary's card is shown to Peggy. Peggy's card is shown to Mayme. Mary's card is shown to Mayme. Mary's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Mary can now know whether Peggy can know whether Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Peggy","Mayme","Mary"],"index":18602,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9981910586,"difficulty":0.0018089414}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Octavia's card is shown to Billye. Lisa's card is shown to Billye. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2|3) ] (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Octavia can now know that Lisa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Octavia","Lisa","Billye"],"index":67251,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998362124,"difficulty":0.001637876}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Sharon. Sherri's card is shown to Sharon. Sharon's card is shown to James. Sherri's card is shown to James. Sharon's card is shown to Sherri. Sherri's card is shown to Sherri. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sherri can now know that James can know that Sherri picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Sharon","James","Sherri"],"index":55979,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9970178604,"difficulty":0.0029821396}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Lynda's card is shown to Cecil. Robert's card is shown to Lynda. Cecil's card is shown to Lynda. It is publicly announced that someone picked a red card. It is publicly announced that Robert does not know whether Cecil picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (~(1&2&3)) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Robert can now know whether Robert picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Robert","Cecil","Lynda"],"index":31027,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9943318367,"difficulty":0.0056681633}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Luis's card is shown to James. James's card is shown to Thomas. Thomas's card is shown to Marilyn. Luis's card is shown to Marilyn. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"James can now know whether Luis can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["James","Thomas","Luis","Marilyn"],"index":9841,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9114383459,"difficulty":0.0885616541}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mark's card is shown to Mark. Christina's card is shown to Christina. It is publicly announced that someone picked a red card. It is publicly announced that Mark does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows that (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Mark can now know that Christina can know whether Mark picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mark","Christina","Jeffrey"],"index":13814,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.892000854,"difficulty":0.107999146}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lawrence's card is shown to Lillian. Lillian's card is shown to Gregorio. Lawrence's card is shown to Gregorio. Gregorio's card is shown to Lawrence. Lawrence's card is shown to Lawrence. It is publicly announced that someone picked a red card. It is publicly announced that Gregorio knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Lillian can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Lillian","Gregorio","Lawrence"],"index":31424,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997720122,"difficulty":0.0002279878}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ashley's card is shown to Elwood. Elwood's card is shown to Kisha. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Donald can now know that Donald picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Donald","Ashley","Elwood","Kisha"],"index":10614,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984629154,"difficulty":0.0015370846}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Raymond's card is shown to Roland. William's card is shown to Roland. Roland's card is shown to Raymond. Raymond's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that Roland does not know whether Roland picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] Agenta knows whether (Agentb knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Roland can now know whether Raymond can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Roland","Raymond","William"],"index":5295,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9996979237,"difficulty":0.0003020763}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leandro's card is shown to Jennifer. Walter's card is shown to Walter. Leandro's card is shown to Susan. Leandro's card is shown to Leandro. It is publicly announced that someone picked a red card. It is publicly announced that Susan does not know whether Susan picked a red card. It is publicly announced that Walter picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! 2 ] (Agentb knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! 2 ] 0","hypothesis":"Walter can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jennifer","Walter","Susan","Leandro"],"index":64646,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997803569,"difficulty":0.0002196431}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Clarence's card is shown to Vicki. Ian's card is shown to Vicki. Vicki's card is shown to Maurice. Maurice's card is shown to Ian. Ian's card is shown to Ian. It is publicly announced that someone picked a red card. It is publicly announced that Maurice picked a black card. It is publicly announced that Maurice picked a black card. It is publicly announced that Clarence knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] Agentb knows whether (Agentc knows whether (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Maurice can now know whether Clarence can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Vicki","Maurice","Clarence","Ian"],"index":57995,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999774158,"difficulty":0.000225842}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sherry's card is shown to Robin. Sandra's card is shown to Robin. Sherry's card is shown to Sherry. Andrea's card is shown to Sherry. Sherry's card is shown to Andrea. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Sherry can now know that Robin can know that Sandra picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Robin","Sherry","Andrea","Sandra"],"index":20770,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976923466,"difficulty":0.0023076534}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marilynn's card is shown to Marilynn. Barbara's card is shown to Rosa. Rosa's card is shown to Barbara. It is publicly announced that someone picked a red card. It is publicly announced that Barbara picked a red card. It is publicly announced that Marilynn does not know whether Rosa picked a red card. It is publicly announced that John picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(2) ] Agenta knows that (Agentc knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(2) ] 0","hypothesis":"Marilynn can now know that Rosa can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Marilynn","John","Rosa","Barbara"],"index":12458,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9968247414,"difficulty":0.0031752586}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Gary. Charlie's card is shown to Gary. Gary's card is shown to Charlie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robert can now know whether Gary can know whether Robert picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Gary","Robert","Charlie"],"index":57436,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9980097413,"difficulty":0.0019902587}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Herman's card is shown to Peter. Herman's card is shown to Herman. Herman's card is shown to Frank. 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 not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agentc knows that (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Frank can now know that Peter can know whether Herman picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Peter","Herman","Frank"],"index":13176,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9907916784,"difficulty":0.0092083216}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to John. Michael's card is shown to Annie. Annie's card is shown to Theresa. John's card is shown to Michael. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Theresa can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["John","Annie","Theresa","Michael"],"index":31278,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997686744,"difficulty":0.0002313256}
+{"premise":"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 Madonna. Madonna's card is shown to Roy. Andrea's card is shown to Roy. Betty's card is shown to Andrea. It is publicly announced that someone picked a red card. It is publicly announced that Betty does not know whether Madonna picked a red card.","smcdel_problem":"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 whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"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","hypothesis":"Madonna can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Madonna","Roy","Betty","Andrea"],"index":8397,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999720037,"difficulty":0.000279963}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rita's card is shown to Alice. Alice's card is shown to Chad. Chad's card is shown to Rita. It is publicly announced that someone picked a red card. It is publicly announced that Chad knows whether someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Chad does not know whether Chad picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 2) ] Agenta knows whether (Agentc knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Alice can now know whether Rita can know that Alice picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Alice","Chad","Rita"],"index":34021,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8533592224,"difficulty":0.1466407776}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Allison's card is shown to Allison. Maria's card is shown to Allison. Margaret's card is shown to Maria. Maria's card is shown to David. David's card is shown to Margaret. Margaret's card is shown to Margaret. It is publicly announced that someone picked a red card. It is publicly announced that Maria does not know whether David picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agentd knows that (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Margaret can now know that Allison can know that David picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Allison","Maria","David","Margaret"],"index":8851,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9958875775,"difficulty":0.0041124225}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Deann's card is shown to Deann. Annette's card is shown to Deann. Deann's card is shown to Annette. Tamar's card is shown to Tamar. It is publicly announced that someone picked a red card. It is publicly announced that Annette picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] Agenta knows that (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0","hypothesis":"Deann can now know that Annette can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Deann","Annette","Tamar"],"index":59587,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7235605717,"difficulty":1.7235605717}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christy's card is shown to Christy. Mattie's card is shown to Christy. Christy's card is shown to Stephanie. Stephanie's card is shown to Stephanie. Mattie's card is shown to Mattie. Mattie's card is shown to Janet. It is publicly announced that someone picked a red card. It is publicly announced that Janet does not know whether Christy picked a red card. It is publicly announced that Christy knows whether or not nobody picked a red card. It is publicly announced that Mattie does not know whether Janet picked a red card. It is publicly announced that Stephanie knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(Agentc knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agentd knows whether (Agentc knows that (1|2|3|4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(Agentc knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Janet can now know whether Mattie can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Christy","Stephanie","Mattie","Janet"],"index":8361,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997748733,"difficulty":0.0002251267}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Walter's card is shown to Walter. Arthur's card is shown to Walter. William's card is shown to William. Arthur's card is shown to William. Walter's card is shown to Arthur. Arthur's card is shown to Arthur. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know that Walter can know that Walter picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Walter","William","Arthur"],"index":42579,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9956650138,"difficulty":0.0043349862}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emil's card is shown to Lois. Kevin's card is shown to Emil. Kevin's card is shown to Kevin. It is publicly announced that someone picked a red card. It is publicly announced that Kevin knows whether or not everyone picked a red card. It is publicly announced that Emil does not know whether Lois picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Emil can now know that Lois can know whether Emil picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lois","Emil","Kevin"],"index":23449,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5845060945,"difficulty":0.4154939055}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marjorie's card is shown to Marjorie. Colleen's card is shown to Marjorie. Emily's card is shown to Marjorie. Colleen's card is shown to Colleen. Emily's card is shown to Colleen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Colleen can now know whether Marjorie can know whether Colleen picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Marjorie","Colleen","Emily"],"index":33390,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9975334406,"difficulty":0.0024665594}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roger's card is shown to Dan. Angela's card is shown to Dan. Dan's card is shown to Frankie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Dan can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Dan","Roger","Angela","Frankie"],"index":63751,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9960839748,"difficulty":0.0039160252}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Robert's card is shown to Thomas. Thomas's card is shown to Thomas. Edward's card is shown to Edward. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robert can now know that Edward can know whether Robert picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Robert","Thomas","Edward"],"index":5206,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.528580308,"difficulty":0.471419692}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Todd's card is shown to Todd. Timothy's card is shown to Jeffery. Todd's card is shown to Timothy. Timothy's card is shown to Timothy. It is publicly announced that someone picked a red card. It is publicly announced that Jeffery picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agentc knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0","hypothesis":"Timothy can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Todd","Jeffery","Timothy"],"index":19317,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7587486506,"difficulty":1.7587486506}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Adrian's card is shown to Kenneth. Adrian's card is shown to Nicole. Kathryn's card is shown to Adrian. It is publicly announced that someone picked a red card. It is publicly announced that Nicole does not know whether Nicole picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] Agentc knows that (Agentb knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Adrian can now know that Nicole can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Kenneth","Nicole","Adrian","Kathryn"],"index":15965,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9996995926,"difficulty":0.0003004074}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Betty. Betty's card is shown to Pamela. Pamela's card is shown to Pamela. Jaime's card is shown to Jaime. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Pamela can now know whether Sharon can know whether Pamela picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Betty","Pamela","Sharon","Jaime"],"index":868,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9987624884,"difficulty":0.0012375116}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessica's card is shown to Cory. Jessica's card is shown to Kristan. Jessica's card is shown to Nancy. Kristan's card is shown to Nancy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Cory can now know whether Kristan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jessica","Cory","Kristan","Nancy"],"index":4783,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9875385761,"difficulty":1.9875385761}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebecca's card is shown to Rebecca. Mario's card is shown to Rebecca. Rebecca's card is shown to Mario. It is publicly announced that someone picked a red card. It is publicly announced that Rebecca knows whether or not everyone picked a red card. It is publicly announced that Mario knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Mario can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Rebecca","Mario"],"index":5697,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8737146854,"difficulty":1.8737146854}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Heather's card is shown to John. Heather's card is shown to Joe. Heather's card is shown to Heather. It is publicly announced that someone picked a red card. It is publicly announced that Joe knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"John can now know whether Joe can know that Joe picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["John","Joe","Heather"],"index":16390,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8960309029,"difficulty":0.1039690971}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kasey's card is shown to Kasey. Helen's card is shown to Kasey. Kasey's card is shown to Helen. It is publicly announced that someone picked a red card. It is publicly announced that Helen knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] Agenta knows that (Agentb knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0","hypothesis":"Kasey can now know that Helen can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Kasey","Helen"],"index":30808,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9926396608,"difficulty":0.0073603392}
+{"premise":"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. Sarah's card is shown to Gary. Sarah's card is shown to Sarah. It is publicly announced that someone picked a red card. It is publicly announced that Sarah does not know whether Gary picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] Agenta knows whether (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Gary can now know whether Sarah can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Gary","Sarah"],"index":28758,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6251158714,"difficulty":0.3748841286}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nathaniel's card is shown to Ellen. Ellen's card is shown to Lisa. Lisa's card is shown to Petra. Ellen's card is shown to Nathaniel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Nathaniel can now know whether Lisa can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ellen","Lisa","Petra","Nathaniel"],"index":55157,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9995802045,"difficulty":0.0004197955}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Duane's card is shown to Christopher. Christopher's card is shown to Duane. It is publicly announced that someone picked a red card. It is publicly announced that Duane picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] (Agentb knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] 0","hypothesis":"Duane can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Christopher","Duane"],"index":46213,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976818562,"difficulty":0.0023181438}
+{"premise":"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 Daniel. Kristen's card is shown to Elizabeth. Daniel's card is shown to Kristen. Irma's card is shown to Kristen. Daniel's card is shown to Irma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Irma can now know whether Daniel can know that Kristen picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Daniel","Elizabeth","Kristen","Irma"],"index":42773,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9435341358,"difficulty":0.0564658642}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Claude's card is shown to Claude. Ruth's card is shown to Ruth. Ruth's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Claude does not know whether Michael picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] Agentc knows whether (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Michael can now know whether Claude can know that Ruth picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Claude","Ruth","Michael"],"index":53222,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9626227021,"difficulty":0.0373772979}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Luke's card is shown to Jerome. Linda's card is shown to Michelle. Michelle's card is shown to Luke. Michelle's card is shown to Linda. Linda's card is shown to Linda. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Luke can now know whether Michelle picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jerome","Michelle","Luke","Linda"],"index":5367,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7211518288,"difficulty":0.2788481712}
+{"premise":"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 Vivian. Kevin's card is shown to Ellan. Vivian's card is shown to Kevin. Ellan's card is shown to Kevin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Vivian can now know that Ellan can know whether Vivian picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Vivian","Ellan","Kevin"],"index":8814,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7436295748,"difficulty":1.7436295748}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brent's card is shown to Brent. Lloyd's card is shown to Brent. Brent's card is shown to Joseph. Robert's card is shown to Robert. Brent's card is shown to Lloyd. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Joseph can now know that Robert can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Brent","Joseph","Robert","Lloyd"],"index":11661,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999778688,"difficulty":0.000221312}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shannon's card is shown to Shannon. Elsie's card is shown to Gilbert. Jessie's card is shown to Jessie. Shannon's card is shown to Elsie. It is publicly announced that someone picked a red card. It is publicly announced that Gilbert does not know whether Shannon picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Shannon picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(1) ] Agentb knows whether (Agentd knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(1) ] 0","hypothesis":"Gilbert can now know whether Elsie can know that Shannon picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Shannon","Gilbert","Jessie","Elsie"],"index":49208,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9566926956,"difficulty":0.0433073044}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carmelita's card is shown to Richard. Michael's card is shown to Earl. Earl's card is shown to Carmelita. Michael's card is shown to Carmelita. Richard's card is shown to Michael. Earl's card is shown to Michael. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:2,4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentd knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:2,4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Carmelita can now know whether Michael can know whether Richard picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Richard","Earl","Carmelita","Michael"],"index":40473,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9986988306,"difficulty":0.0013011694}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michelle's card is shown to Reginald. Michelle's card is shown to Galen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 VALID? [ ! (1|2|3) ] (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Galen can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Reginald","Galen","Michelle"],"index":58155,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997239709,"difficulty":0.0002760291}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gladys's card is shown to Gladys. Evelyn's card is shown to Gladys. Karon's card is shown to Jeffrey. Evelyn's card is shown to Evelyn. It is publicly announced that someone picked a red card. It is publicly announced that Karon does not know whether Evelyn picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Jeffrey does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agentb knows that (Agentc knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Karon can now know that Jeffrey can know whether Jeffrey picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Gladys","Karon","Jeffrey","Evelyn"],"index":55220,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8248391151,"difficulty":1.8248391151}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nydia's card is shown to Lynn. Lynn's card is shown to Nydia. It is publicly announced that someone picked a red card. It is publicly announced that Sonia does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Sonia can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Lynn","Sonia","Nydia"],"index":26040,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8682888746,"difficulty":1.8682888746}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Matthew's card is shown to Matthew. John's card is shown to Cynthia. It is publicly announced that someone picked a red card. It is publicly announced that Matthew does not know whether Cynthia picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Matthew can now know that Cynthia picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["John","Matthew","Cynthia"],"index":24626,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9958240986,"difficulty":0.0041759014}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randall's card is shown to Randall. James's card is shown to Randall. Randall's card is shown to James. James's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] Agentb knows that (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0","hypothesis":"James can now know that Randall can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Randall","James"],"index":33146,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984717965,"difficulty":0.0015282035}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eddie's card is shown to Eddie. Eric's card is shown to Eddie. Jody's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that Jody picked a black card. It is publicly announced that John picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:2 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! 4 ] (Agentb knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:2 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! 4 ] 0","hypothesis":"Jody can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Eddie","Jody","Eric","John"],"index":21416,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.5821166039,"difficulty":1.5821166039}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Shasta's card is shown to Shasta. Cary's card is shown to Cary. It is publicly announced that someone picked a red card. It is publicly announced that Michael does not know whether Cary picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Shasta does not know whether Cary picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 3) ] Agentb knows that (Agenta knows whether 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Shasta can now know that Michael can know whether Shasta picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Michael","Shasta","Cary"],"index":93,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8032312989,"difficulty":0.1967687011}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kimberley's card is shown to Kimberley. Kimberley's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that James knows whether James picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agentb knows that (Agenta knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"James can now know that Kimberley can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Kimberley","James"],"index":10837,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.954254508,"difficulty":1.954254508}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tommy's card is shown to Tommy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Victoria can now know whether Sharon picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Victoria","Tommy","Brian","Sharon"],"index":21331,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9550871849,"difficulty":0.0449128151}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dennis's card is shown to Dennis. Dennis's card is shown to Richard. Richard's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Dennis does not know whether Richard picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agenta knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Richard can now know that Dennis can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Dennis","Richard"],"index":46937,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997802377,"difficulty":0.0002197623}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nathaniel's card is shown to Dana. Dana's card is shown to Nathaniel. Richard's card is shown to Nathaniel. Dana's card is shown to Richard. Richard's card is shown to Richard. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Nathaniel can now know that Richard can know that Nathaniel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Dana","Nathaniel","Richard"],"index":6972,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9970865846,"difficulty":0.0029134154}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrew's card is shown to Andrew. Raven's card is shown to Andrew. Christopher's card is shown to Cynthia. Raven's card is shown to Christopher. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Andrew can now know that Cynthia can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Andrew","Cynthia","Christopher","Raven"],"index":25945,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9845476747,"difficulty":0.0154523253}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jessica's card is shown to Jessica. Nicolas's card is shown to Jessica. Jessica's card is shown to Carl. Nicolas's card is shown to Nicolas. Nicolas's card is shown to Ruth. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Nicolas can now know whether Nicolas picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jessica","Carl","Nicolas","Ruth"],"index":40512,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9869725108,"difficulty":0.0130274892}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bob's card is shown to Jennifer. Eddie's card is shown to Bob. It is publicly announced that someone picked a red card. It is publicly announced that Eddie does not know whether Eddie picked a red card. It is publicly announced that Eddie knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentb knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0","hypothesis":"Jennifer can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Eddie","Jennifer","Bob"],"index":36284,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997796416,"difficulty":0.0002203584}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dean's card is shown to Gloria. Elizabeth's card is shown to Gloria. Jessica's card is shown to Dean. Jessica's card is shown to Elizabeth. Gloria's card is shown to Jessica. Dean's card is shown to Jessica. It is publicly announced that someone picked a red card. It is publicly announced that Jessica picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentb knows that (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Dean can now know that Gloria can know that Elizabeth picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Gloria","Dean","Elizabeth","Jessica"],"index":58908,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9587597251,"difficulty":0.0412402749}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nora's card is shown to Nora. Keith's card is shown to Nora. Judith'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 Judith knows whether Nora picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Judith can now know that Nora picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Nora","Judith","Keith"],"index":2424,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9958431125,"difficulty":1.9958431125}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joyce's card is shown to Joyce. Lorena's card is shown to Lorena. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] Agenta knows whether (Agentb knows that (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Joyce can now know whether Lorena can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Joyce","Lorena"],"index":20859,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994335771,"difficulty":0.0005664229}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lori's card is shown to Edward. Edward's card is shown to Lori. Lori's card is shown to Clifford. Lori's card is shown to Kathy. It is publicly announced that someone picked a red card. It is publicly announced that Clifford knows whether or not everyone picked a red card. It is publicly announced that Kathy does not know whether Clifford picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Lori can now know that Edward picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Edward","Lori","Clifford","Kathy"],"index":5963,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8921657205,"difficulty":0.1078342795}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Juan's card is shown to Juan. Angelique's card is shown to Juan. Angelique's card is shown to Angelique. Ignacio's card is shown to Angelique. Juan's card is shown to Ignacio. Angelique's card is shown to Ignacio. Ignacio's card is shown to Ignacio. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentb knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Angelique can now know that Angelique picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Juan","Angelique","Ignacio"],"index":8535,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9963040352,"difficulty":0.0036959648}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Enrique's card is shown to Enrique. Enrique's card is shown to Eric. Eric's card is shown to Eric. It is publicly announced that someone picked a red card. It is publicly announced that Eric knows whether Eric picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agenta knows that (Agentb knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Enrique can now know that Eric can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Enrique","Eric"],"index":2518,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997733235,"difficulty":0.0002266765}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to Steven. Steven's card is shown to Brendan. Steven's card is shown to Bobby. Brendan's card is shown to Cedric. It is publicly announced that someone picked a red card. It is publicly announced that Bobby does not know whether Bobby picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentc knows whether (Agentd knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Bobby can now know whether Cedric can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Steven","Brendan","Bobby","Cedric"],"index":40470,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.509706974,"difficulty":1.509706974}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gail's card is shown to Susan. Bryan's card is shown to Bryan. Bryan's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Bryan does not know whether Gail picked a red card. It is publicly announced that Bryan does not know whether Gail picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] (Agentb knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Susan can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Gail","Susan","Bryan","Robert"],"index":45006,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984467626,"difficulty":0.0015532374}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Erich's card is shown to Mary. Debra's card is shown to Gregoria. Mary's card is shown to Erich. 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 someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (1|2|3|4) ] (Agentb knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"Debra can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Mary","Debra","Gregoria","Erich"],"index":36431,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997777343,"difficulty":0.0002222657}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Patricia. Joseph's card is shown to Joseph. Joan's card is shown to Joseph. Patricia's card is shown to Joan. Joan's card is shown to Joan. It is publicly announced that someone picked a red card. It is publicly announced that Joan knows whether Patricia picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] (Agentb knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] 0","hypothesis":"Joseph can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Patricia","Joseph","Joan"],"index":31624,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986103773,"difficulty":0.0013896227}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christy's card is shown to Christy. Kristine's card is shown to Christy. Christy's card is shown to Bryan. Bryan's card is shown to Bryan. Bryan's card is shown to Jessica. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Bryan can now know that Kristine can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Christy","Kristine","Bryan","Jessica"],"index":59416,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997774959,"difficulty":0.0002225041}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dudley's card is shown to Dudley. Dale's card is shown to Dale. It is publicly announced that someone picked a red card. It is publicly announced that Dudley does not know whether or not everyone picked a red card. It is publicly announced that Dudley does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Dudley can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Dudley","Dale"],"index":7076,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9748672843,"difficulty":0.0251327157}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amber's card is shown to Amber. Debra's card is shown to Amber. Amber's card is shown to Isaac. Isaac's card is shown to Isaac. Mike's card is shown to Isaac. Amber's card is shown to Debra. Amber's card is shown to Mike. Debra's card is shown to Mike. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2,4 Agentc:1 Agentd:1,3 VALID? [ ! (1|2|3|4) ] (Agentd knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2,4 Agentc:1 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mike can now know that Debra picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Amber","Isaac","Debra","Mike"],"index":41396,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978451729,"difficulty":0.0021548271}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] 0","hypothesis":"Christopher can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Christopher","Monica","Richard"],"index":23242,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9997552037,"difficulty":0.0002447963}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marissa's card is shown to Marissa. Patricia's card is shown to Patricia. Cindy's card is shown to Patricia. Cindy's card is shown to Terri. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Marissa can now know that Patricia can know that Cindy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Marissa","Patricia","Cindy","Terri"],"index":2939,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980500937,"difficulty":0.0019499063}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcia's card is shown to Marcia. Milton's card is shown to Marcia. Marcia's card is shown to Milton. Milton's card is shown to Milton. Milton's card is shown to Carmen. Carmen's card is shown to Carmen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Milton can now know whether Carmen can know that Marcia picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Marcia","Milton","Carmen"],"index":31895,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9228440523,"difficulty":1.9228440523}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Valentin's card is shown to Betty. Betty's card is shown to Gladys. Gladys's card is shown to Valentin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Gladys can now know that Norma can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Norma","Betty","Gladys","Valentin"],"index":41351,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993607402,"difficulty":0.0006392598}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jason's card is shown to Jason. Jason's card is shown to Vernon. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that (1&2))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] 0","hypothesis":"Vernon can now know whether Jason can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jason","Vernon"],"index":30730,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9801124334,"difficulty":0.0198875666}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tami's card is shown to Tami. Tami's card is shown to Blaine. Mae's card is shown to Blaine. Blaine's card is shown to Mae. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Mae can now know whether Tami can know that Blaine picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Tami","Blaine","Mae"],"index":17219,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8967155218,"difficulty":0.1032844782}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emily's card is shown to David. Emily's card is shown to Emily. Richard's card is shown to Emily. Charles's card is shown to Emily. Charles's card is shown to Richard. Emily's card is shown to Charles. Charles's card is shown to Charles. It is publicly announced that someone picked a red card. It is publicly announced that Richard does not know whether David picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] (Agentd knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,3,4 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Charles can now know that Emily picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["David","Emily","Richard","Charles"],"index":16606,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9935218692,"difficulty":0.0064781308}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jason's card is shown to Clayton. Kurt's card is shown to Kurt. Jason's card is shown to Amy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Kurt can now know whether Jason picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jason","Clayton","Kurt","Amy"],"index":10570,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9612818956,"difficulty":0.0387181044}
+{"premise":"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. Jessica's card is shown to Stanley. James's card is shown to Stanley. It is publicly announced that someone picked a red card. It is publicly announced that Jessica knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] Agentb knows that (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] 0","hypothesis":"Stanley can now know that Jessica can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jessica","Stanley","James"],"index":59491,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994077682,"difficulty":0.0005922318}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mona's card is shown to Richard. Richard's card is shown to Mona. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] Agenta knows that (Agentb knows whether (~(1|2)))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] 0","hypothesis":"Richard can now know that Mona can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Richard","Mona"],"index":24294,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993213415,"difficulty":0.0006786585}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andree's card is shown to Andree. Clyde's card is shown to Andree. Andree's card is shown to Fred. Clyde's card is shown to Fred. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Andree can now know whether Clyde can know that Andree picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Andree","Clyde","Fred"],"index":11000,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9278125167,"difficulty":0.0721874833}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Linda's card is shown to Linda. Rhonda's card is shown to Jordan. Linda's card is shown to Rhonda. Rhonda's card is shown to Rhonda. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agentc knows that (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Rhonda can now know that Jordan can know whether Rhonda picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Linda","Jordan","Rhonda"],"index":12748,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9975138903,"difficulty":0.0024861097}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lloyd's card is shown to Gertrude. Gertrude's card is shown to Norma. Lloyd's card is shown to Norma. Norma's card is shown to Lloyd. Lloyd's card is shown to Lloyd. It is publicly announced that someone picked a red card. It is publicly announced that Norma knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Gertrude can now know that Lloyd picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Gertrude","Norma","Lloyd"],"index":40574,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9957392216,"difficulty":0.0042607784}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joann's card is shown to Andrew. Andrew's card is shown to Joann. Jeffrey's card is shown to Jeffrey. Jeffrey's card is shown to Doris. It is publicly announced that someone picked a red card. It is publicly announced that Doris does not know whether Joann picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] Agenta knows that (Agentb knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Andrew can now know that Joann can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Andrew","Joann","Jeffrey","Doris"],"index":67224,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9928988218,"difficulty":0.0071011782}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Matthew's card is shown to Matthew. Suzan's card is shown to Roger. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Matthew can now know whether Matthew picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Matthew","Roger","Jillian","Suzan"],"index":67272,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5855861902,"difficulty":0.4144138098}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Milford's card is shown to Grover. Ida's card is shown to Lisa. Milford's card is shown to Lisa. Grover's card is shown to Milford. It is publicly announced that someone picked a red card. It is publicly announced that Ida does not know whether Ida picked a red card. It is publicly announced that Grover picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! 1 ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] [ ! 1 ] 0","hypothesis":"Grover can now know that Lisa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Grover","Lisa","Ida","Milford"],"index":21949,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9856963158,"difficulty":0.0143036842}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to Rochel. Rochel's card is shown to David. Rochel's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Christopher knows whether or not everyone picked a red card. It is publicly announced that David knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (Agentb knows whether (1&2&3)) ] (Agentb knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"David can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Rochel","David","Christopher"],"index":55172,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994196892,"difficulty":0.0005803108}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marsha's card is shown to James. James's card is shown to James. William's card is shown to James. Marsha's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Marsha can now know whether James can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Marsha","James","William"],"index":61250,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992341995,"difficulty":0.0007658005}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Timothy's card is shown to Rachel. Robert's card is shown to Dora. Rachel's card is shown to Timothy. Rachel's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Dora can now know that Timothy can know whether Timothy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Rachel","Dora","Timothy","Robert"],"index":30075,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6478337646,"difficulty":0.3521662354}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Katie's card is shown to Katie. Michael's card is shown to Katie. Jennifer's card is shown to Katie. Michael's card is shown to Michael. Jennifer's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Katie can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Katie","Michael","Jennifer"],"index":19175,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989533424,"difficulty":0.0010466576}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donald's card is shown to Donald. Donald's card is shown to Meridith. Meridith's card is shown to Meridith. 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 not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (~(1&2)) ] Agenta knows whether (Agentb knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (~(1&2)) ] 0","hypothesis":"Donald can now know whether Meridith can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Donald","Meridith"],"index":2696,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994425178,"difficulty":0.0005574822}
+{"premise":"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. Princess's card is shown to Princess. Clarissa's card is shown to Princess. Princess's card is shown to Clarissa. Clarissa's card is shown to Clarissa. It is publicly announced that someone picked a red card. It is publicly announced that Richard does not know whether Princess picked a red card. It is publicly announced that Clarissa knows whether Princess picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 2) ] Agentb knows whether (Agenta knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 2) ] 0","hypothesis":"Princess can now know whether Richard can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Richard","Princess","Clarissa"],"index":26379,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992922544,"difficulty":0.0007077456}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brian's card is shown to Brian. Latoya's card is shown to Latoya. Latoya's card is shown to Ida. Ida's card is shown to Ida. It is publicly announced that someone picked a red card. It is publicly announced that Brian does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Latoya can now know whether Ida picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Brian","Latoya","Ida"],"index":54055,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.5274021029,"difficulty":1.5274021029}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stacy's card is shown to Regina. Regina's card is shown to Stacy. Stacy's card is shown to Stacy. It is publicly announced that someone picked a red card. It is publicly announced that Stacy knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] 0","hypothesis":"Stacy can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Regina","Stacy"],"index":45555,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7805351019,"difficulty":0.2194648981}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jared's card is shown to Jared. Aaron's card is shown to Aaron. Lisa's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jared can now know that Robert can know whether Robert picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jared","Aaron","Robert","Lisa"],"index":58929,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8332111239,"difficulty":0.1667888761}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Philip's card is shown to Philip. Andrea's card is shown to Philip. Barbara's card is shown to Andrea. Philip's card is shown to Barbara. Barbara's card is shown to Barbara. Laverne's card is shown to Barbara. Barbara's card is shown to Laverne. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1,3,4 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1,3,4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Barbara can now know that Andrea can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Philip","Andrea","Barbara","Laverne"],"index":35174,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992699027,"difficulty":0.0007300973}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cheryl's card is shown to Betty. Cheryl's card is shown to David. David's card is shown to Cheryl. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Betty can now know that David can know that Cheryl picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Betty","David","Cheryl"],"index":34910,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9970604777,"difficulty":0.0029395223}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emmy's card is shown to Clyde. Emmy's card is shown to Emmy. 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 Emmy knows whether Clyde picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether 1) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Emmy can now know that Emmy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Clyde","Emmy"],"index":62320,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.99132514,"difficulty":0.00867486}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randy's card is shown to Joe. Joe's card is shown to Mary. Roger's card is shown to Mary. Randy's card is shown to Roger. Mary's card is shown to Randy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Roger can now know that Mary can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Joe","Mary","Roger","Randy"],"index":14461,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9987491369,"difficulty":0.0012508631}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arnold's card is shown to Joyce. Travis's card is shown to Arnold. It is publicly announced that someone picked a red card. It is publicly announced that Joyce does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows that (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Arnold can now know that Joyce can know that Joyce picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Joyce","Arnold","Travis"],"index":10442,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6694631577,"difficulty":0.3305368423}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Damien's card is shown to William. Brian's card is shown to William. Damien's card is shown to Damien. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know that Damien can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["William","Damien","Brian"],"index":51534,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993914366,"difficulty":0.0006085634}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louis's card is shown to Louis. Scott's card is shown to Louis. Louis's card is shown to Scott. Scott's card is shown to Scott. Scott's card is shown to Nancy. Nancy's card is shown to Nancy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Nancy can now know that Scott can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Louis","Scott","Nancy"],"index":62507,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993618131,"difficulty":0.0006381869}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joe's card is shown to Ross. Ross's card is shown to Ross. Paul's card is shown to Paul. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Joe can now know that Ross can know that Paul picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Joe","Ross","Paul"],"index":3636,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9967762828,"difficulty":0.0032237172}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jennifer's card is shown to Erin. Erin's card is shown to Beverly. Beverly's card is shown to Beverly. Jennifer's card is shown to Beverly. Erin's card is shown to Jennifer. Beverly's card is shown to Jennifer. Jennifer's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Erin can now know that Beverly can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Erin","Beverly","Jennifer"],"index":13802,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993232489,"difficulty":0.0006767511}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to Christine. Christine's card is shown to Michael. Kent's card is shown to Larry. Christine's card is shown to Kent. Michael's card is shown to Kent. It is publicly announced that someone picked a red card. It is publicly announced that Michael picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agentd knows that (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:4 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0","hypothesis":"Kent can now know that Michael can know whether Larry picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Christine","Michael","Larry","Kent"],"index":47753,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7147619724,"difficulty":0.2852380276}
+{"premise":"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 Suzanne. Jennifer's card is shown to Mary. Suzanne's card is shown to Jennifer. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agenta knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Suzanne can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Suzanne","Mary","Jennifer"],"index":61131,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.986372292,"difficulty":0.013627708}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Deborah's card is shown to Estelle. Estelle's card is shown to Deborah. Mark's card is shown to Deborah. Estelle's card is shown to Mark. Deborah's card is shown to Mark. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Deborah can now know that Mark picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Estelle","Deborah","Mark"],"index":64200,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982396364,"difficulty":0.0017603636}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lauren's card is shown to Bridgette. Lauren's card is shown to Lauren. Lisa's card is shown to Lisa. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows whether (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Bridgette can now know whether Lauren can know whether Jim picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jim","Bridgette","Lauren","Lisa"],"index":3758,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9986299276,"difficulty":0.0013700724}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Willie's card is shown to Willie. Geneva's card is shown to Willie. Ira's card is shown to Willie. Willie's card is shown to Geneva. Ira's card is shown to Geneva. Willie's card is shown to Ira. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Willie can now know whether Willie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Willie","Helen","Geneva","Ira"],"index":15328,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9124081135,"difficulty":0.0875918865}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Earl's card is shown to Audrey. Audrey's card is shown to Stan. Stan's card is shown to Stan. Earl's card is shown to Stan. Earl's card is shown to Earl. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Stan can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Audrey","Stan","Earl"],"index":45947,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994101524,"difficulty":0.0005898476}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dawn's card is shown to Faith. Dawn's card is shown to Dawn. It is publicly announced that someone picked a red card. It is publicly announced that Faith does not know whether Faith picked a red card. It is publicly announced that Dawn does not know whether Faith picked a red card. It is publicly announced that Faith does not know whether or not everyone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1&2) ] Agentb knows whether (Agenta knows that (1|2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (1&2) ] 0","hypothesis":"Dawn can now know whether Faith can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Faith","Dawn"],"index":42632,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999417901,"difficulty":0.000582099}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Virginia's card is shown to Virginia. Megan's card is shown to Megan. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Megan can now know that Virginia picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Virginia","Megan","Rickey"],"index":5954,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9974752069,"difficulty":0.0025247931}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hayley's card is shown to Hayley. Kevin's card is shown to Heather. Heather's card is shown to Michele. Kevin's card is shown to Michele. Michele's card is shown to Michele. It is publicly announced that someone picked a red card. It is publicly announced that Hayley picked a red card. It is publicly announced that Kevin picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! 3 ] (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:2,3,4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! 3 ] 0","hypothesis":"Heather can now know that Hayley picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Hayley","Heather","Kevin","Michele"],"index":44738,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.6125419736,"difficulty":1.6125419736}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christine's card is shown to Christine. Sharon's card is shown to Christine. Christine's card is shown to April. April's card is shown to April. Tammy's card is shown to Tammy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Christine can now know whether Christine picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Christine","April","Sharon","Tammy"],"index":62280,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9199154973,"difficulty":0.0800845027}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to John. John's card is shown to Lucie. Lucie's card is shown to Lucie. Carol's card is shown to Carol. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lucie can now know whether Carol picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["John","Lucie","Carol"],"index":66646,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6022619605,"difficulty":0.3977380395}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Martha's card is shown to June. Martha's card is shown to Martha. Eugene's card is shown to Martha. Martha's card is shown to Eugene. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"June can now know whether Eugene picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["June","Randy","Martha","Eugene"],"index":29521,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9117534757,"difficulty":0.0882465243}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Alan. Thomas's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Thomas does not know whether Thomas picked a red card. It is publicly announced that Thomas knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentb knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 1) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0","hypothesis":"Alan can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Thomas","Alan","Kenneth"],"index":41261,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993997812,"difficulty":0.0006002188}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Angelica's card is shown to Fern. Richard's card is shown to Richard. Fern's card is shown to Teena. Fern's card is shown to Angelica. Richard's card is shown to Angelica. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Fern can now know whether Richard can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Fern","Richard","Teena","Angelica"],"index":46143,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993908405,"difficulty":0.0006091595}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Abbey's card is shown to Francis. Francis's card is shown to Abbey. Abbey's card is shown to Abbey. Francis's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Abbey knows whether Abbey picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] Agenta knows whether (Agentb knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Francis can now know whether Abbey can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Francis","Abbey","Robert"],"index":62258,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994439483,"difficulty":0.0005560517}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcy's card is shown to John. Michael's card is shown to John. Marcy's card is shown to Marcy. Marcy's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Marcy does not know whether John picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agenta knows whether (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"John can now know whether Michael can know whether Michael picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["John","Marcy","Michael"],"index":54119,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9848785996,"difficulty":0.0151214004}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elizabeth's card is shown to Elizabeth. Elizabeth's card is shown to James. James's card is shown to Delma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"James can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Elizabeth","James","Delma"],"index":54199,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993323684,"difficulty":0.0006676316}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Charles. Charles's card is shown to Illa. Charles's card is shown to Lewis. Tina's card is shown to Lewis. It is publicly announced that someone picked a red card. It is publicly announced that Charles knows whether or not everyone picked a red card. It is publicly announced that Illa knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether (1&2&3&4)) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Illa can now know that Illa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charles","Illa","Lewis","Tina"],"index":14804,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9698939323,"difficulty":0.0301060677}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jo's card is shown to Jo. Michael's card is shown to Jo. Ida's card is shown to Jo. Michael's card is shown to Michael. Jeanne's card is shown to Michael. Ida's card is shown to Ida. Jeanne's card is shown to Ida. Michael's card is shown to Jeanne. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:2,4 Agentc:3,4 Agentd:2 VALID? [ ! (1|2|3|4) ] (Agentb knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:2,4 Agentc:3,4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jo","Michael","Ida","Jeanne"],"index":25944,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.999001205,"difficulty":0.000998795}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tanya's card is shown to Tanya. Lester's card is shown to Tanya. Tanya's card is shown to Lester. Lester's card is shown to Lester. It is publicly announced that someone picked a red card. It is publicly announced that Lester picked a black card. It is publicly announced that Tanya knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2))) ] Agentb knows that (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Lester can now know that Tanya can know that Lester picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Tanya","Lester"],"index":7806,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.914490521,"difficulty":0.085509479}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tammie's card is shown to Tammie. Carla's card is shown to Tammie. Margaret's card is shown to Tammie. Margaret's card is shown to William. William's card is shown to Margaret. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Tammie can now know that William picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tammie","Carla","William","Margaret"],"index":12519,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.997739315,"difficulty":0.002260685}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mildred's card is shown to Mildred. Mildred's card is shown to Tommie. Tommie's card is shown to Tommie. It is publicly announced that someone picked a red card. It is publicly announced that Tommie knows whether someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (1|2) ] 0","hypothesis":"Tommie can now know that Tommie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Mildred","Tommie"],"index":39375,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.947281003,"difficulty":0.052718997}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ruth's card is shown to Ruth. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] Agenta knows whether (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Ruth can now know whether Robert can know whether Ruth picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Ruth","Robert"],"index":45229,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9985070825,"difficulty":0.0014929175}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donna's card is shown to Donna. Annie's card is shown to Donna. William's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Annie can now know whether Donna can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Donna","Annie","William"],"index":45663,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993501306,"difficulty":0.0006498694}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laurena's card is shown to John. Laurena's card is shown to Kenneth. Kenneth's card is shown to Laurena. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agentc knows whether (Agentb knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Laurena can now know whether Kenneth can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["John","Kenneth","Laurena"],"index":6905,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993987083,"difficulty":0.0006012917}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorothy's card is shown to Ray. Ray's card is shown to Melvin. Melvin's card is shown to Melvin. Ray's card is shown to Dorothy. Melvin's card is shown to Dorothy. Dorothy's card is shown to Dorothy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Melvin can now know that Dorothy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Ray","Melvin","Dorothy"],"index":32307,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9925621152,"difficulty":0.0074378848}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anne's card is shown to Gary. Thomas's card is shown to Gary. Anne's card is shown to Anne. Thomas's card is shown to Anne. Gary's card is shown to Thomas. Anne'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 picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Gary can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Gary","Anne","Thomas"],"index":47400,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985851049,"difficulty":0.0014148951}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steve's card is shown to Steve. Steve's card is shown to Anna. Anna's card is shown to Anna. Steve's card is shown to Rita. Rita's card is shown to Rita. It is publicly announced that someone picked a red card. It is publicly announced that Anna knows whether Steve picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] Agentb knows that (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Anna can now know that Rita can know that Anna picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Steve","Anna","Rita"],"index":57112,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9854155183,"difficulty":0.0145844817}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Diana. Rose's card is shown to Diana. Diana's card is shown to Amy. Amy's card is shown to Amy. Diana's card is shown to Rose. Rose's card is shown to Rose. It is publicly announced that someone picked a red card. It is publicly announced that Rose knows whether Amy picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] (Agentb knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] 0","hypothesis":"Amy can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Diana","Amy","Rose"],"index":20478,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994408488,"difficulty":0.0005591512}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patsy's card is shown to John. Patsy's card is shown to Patsy. It is publicly announced that someone picked a red card. It is publicly announced that Patsy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] (Agenta knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"John can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["John","Patsy"],"index":6207,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994509816,"difficulty":0.0005490184}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sarah's card is shown to Lori. Sarah's card is shown to Sarah. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] (Agentb knows whether (1&2))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] 0","hypothesis":"Sarah can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Lori","Sarah"],"index":4932,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9922733903,"difficulty":0.0077266097}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gertrude's card is shown to Gertrude. Joseph's card is shown to Gertrude. Gertrude's card is shown to Joseph. Gertrude's card is shown to Ashley. Ashley's card is shown to Ashley. Gertrude's card is shown to Lenora. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1,3 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentd knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1,3 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Lenora can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Gertrude","Joseph","Ashley","Lenora"],"index":61407,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989917874,"difficulty":0.0010082126}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Yoshiko's card is shown to Arnold. Yoshiko's card is shown to Robert. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Yoshiko knows whether someone picked a red card. It is publicly announced that Yoshiko does not know whether or not everyone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Yoshiko picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] [ ! 2 ] (Agentb knows whether 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] [ ! 2 ] 0","hypothesis":"Yoshiko can now know whether Yoshiko picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Arnold","Yoshiko","Robert"],"index":1051,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9853155613,"difficulty":0.0146844387}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ida's card is shown to Jorge. Andrea's card is shown to Ida. Jorge's card is shown to Andrea. Ida's card is shown to Andrea. Andrea's card is shown to Andrea. It is publicly announced that someone picked a red card. It is publicly announced that Ida knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Jorge can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jorge","Ida","Andrea"],"index":53352,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989702702,"difficulty":0.0010297298}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maria's card is shown to Maria. Darlene's card is shown to Darlene. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Maria does not know whether Darlene picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Maria can now know that Darlene can know whether Maria picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Maria","Darlene"],"index":34481,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6986938715,"difficulty":0.3013061285}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Blanche's card is shown to Blanche. Blanche's card is shown to Lillian. Lillian's card is shown to Lillian. Lillian's card is shown to Glenda. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agenta knows whether (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Blanche can now know whether Glenda can know whether Blanche picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Blanche","Lillian","Glenda"],"index":10931,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9976183772,"difficulty":0.0023816228}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Brian. Kenneth's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth knows whether Brian picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Kenneth can now know that Brian picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Brian","Kenneth"],"index":38394,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9670385718,"difficulty":1.9670385718}
+{"premise":"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 John. Maria's card is shown to Sara. Sara's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentc knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Sara can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Maria","John","Sara","Robert"],"index":51463,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994043112,"difficulty":0.0005956888}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anna's card is shown to Anna. John's card is shown to Anna. Anna's card is shown to John. Anna's card is shown to Joshua. Joshua's card is shown to Joshua. Anna's card is shown to Sheena. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1,3 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1,3 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Anna can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Anna","John","Joshua","Sheena"],"index":16334,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9943109751,"difficulty":0.0056890249}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jocelyn's card is shown to Jocelyn. Kevin's card is shown to Jocelyn. Kevin's card is shown to Kevin. It is publicly announced that someone picked a red card. It is publicly announced that Kevin does not know whether or not everyone picked a red card. It is publicly announced that Kevin knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Kevin can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Jocelyn","Kevin"],"index":24699,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9981554151,"difficulty":0.0018445849}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Felicia's card is shown to Felicia. William's card is shown to Felicia. Charles's card is shown to Charles. William's card is shown to Charles. Charles's card is shown to Melissa. Melissa's card is shown to Melissa. Felicia's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that Melissa does not know whether William picked a red card. It is publicly announced that Felicia does not know whether Charles picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2,4 Agentc:2,3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 2) ] Agentc knows whether (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2,4 Agentc:2,3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Melissa can now know whether William can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Felicia","Charles","Melissa","William"],"index":13767,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9757165909,"difficulty":0.0242834091}
+{"premise":"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. Myrna's card is shown to Daniel. Myrna's card is shown to Kristin. Myrna's card is shown to Joseph. Joseph's card is shown to Myrna. Myrna's card is shown to Myrna. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agenta knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:4 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Myrna can now know whether Daniel can know that Myrna picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Daniel","Kristin","Joseph","Myrna"],"index":55025,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9254053831,"difficulty":0.0745946169}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebekah's card is shown to George. Joshua's card is shown to George. George's card is shown to Joshua. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] (Agenta knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"George can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["George","Rebekah","Joshua"],"index":4743,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993773103,"difficulty":0.0006226897}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lewis's card is shown to Bonnie. Lewis's card is shown to Lewis. It is publicly announced that someone picked a red card. It is publicly announced that Bonnie knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agentb knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Lewis can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Bonnie","Lewis"],"index":62899,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994288087,"difficulty":0.0005711913}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patricia's card is shown to Robert. Nikki's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Patricia knows whether Nikki picked a red card. It is publicly announced that Patricia picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] [ ! 1 ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 3) ] [ ! 1 ] 0","hypothesis":"Patricia can now know that Patricia picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Patricia","Robert","Nikki"],"index":48501,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5458542705,"difficulty":0.4541457295}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eva's card is shown to Eva. Phillip's card is shown to Eva. Phillip's card is shown to Phillip. Frank's card is shown to Phillip. Phillip's card is shown to Frank. It is publicly announced that someone picked a red card. It is publicly announced that Frank does not know whether Eva picked a red card. It is publicly announced that Eva does not know whether Frank picked a red card. It is publicly announced that Frank knows whether or not everyone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (~(1|2|3)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] 0","hypothesis":"Eva can now know that Phillip can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Eva","Phillip","Frank"],"index":8087,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994632602,"difficulty":0.0005367398}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Olga's card is shown to Betty. Olga's card is shown to Derek. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Olga can now know whether Betty picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Olga","Betty","Derek"],"index":45609,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9975243211,"difficulty":0.0024756789}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to Robert. Robert's card is shown to Larry. Terry's card is shown to Larry. It is publicly announced that someone picked a red card. It is publicly announced that Terry knows whether Robert picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Terry can now know that Robert picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Robert","Terry","Larry"],"index":2591,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9406301975,"difficulty":0.0593698025}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Victor's card is shown to Sara. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sara can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Sara","Andria","Victor"],"index":2549,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993528724,"difficulty":0.0006471276}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Althea. Althea's card is shown to Althea. Helen's card is shown to Althea. Althea's card is shown to Marlene. Helen's card is shown to Marlene. Althea's card is shown to Helen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:2,4 Agentc:2 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:2,4 Agentc:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Christopher can now know whether Helen picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Christopher","Althea","Marlene","Helen"],"index":43277,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9510253072,"difficulty":0.0489746928}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edward's card is shown to Edward. Candice's card is shown to Marie. Edward's card is shown to Candice. Marie's card is shown to Candice. It is publicly announced that someone picked a red card. It is publicly announced that Edward does not know whether Marie picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (~(1&2&3)) ] (Agentb knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Marie can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Edward","Marie","Candice"],"index":8898,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994327426,"difficulty":0.0005672574}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elna's card is shown to Elna. India's card is shown to Elna. Daniel's card is shown to Elna. India's card is shown to Miles. Daniel's card is shown to Miles. Miles's card is shown to India. Elna's card is shown to Daniel. Daniel's card is shown to Daniel. It is publicly announced that someone picked a red card. It is publicly announced that India does not know whether India picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3,4 Agentc:2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:3,4 Agentc:2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Miles can now know whether Elna picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Elna","Miles","India","Daniel"],"index":36789,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.5659653544,"difficulty":1.5659653544}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Prince's card is shown to Prince. Judith's card is shown to Judith. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] 0","hypothesis":"Judith can now know whether Prince can know that Judith picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Prince","Judith"],"index":28467,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7818438411,"difficulty":1.7818438411}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Jennefer. Jorge's card is shown to Jorge. Robert's card is shown to Jorge. Jennefer's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentc knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jorge can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jennefer","James","Jorge","Robert"],"index":47000,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999394536,"difficulty":0.000605464}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Vincent's card is shown to Kirk. Vincent's card is shown to Tracy. It is publicly announced that someone picked a red card. It is publicly announced that Kirk picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! 1 ] Agenta knows that (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Kirk can now know that Vincent can know whether Tracy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Kirk","Vincent","Tracy"],"index":59139,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9427662492,"difficulty":0.0572337508}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rosina's card is shown to Vernon. Linda's card is shown to Rosina. Linda's card is shown to Linda. Vernon's card is shown to Troy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Linda can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Vernon","Rosina","Linda","Troy"],"index":62645,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993025064,"difficulty":0.0006974936}
+{"premise":"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 Joanne. Tony's card is shown to Tony. Tony's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth picked a red card. It is publicly announced that Rachel knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! (Agentc knows whether (1&2&3&4)) ] Agentb knows that (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! (Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Tony can now know that Rachel can know that Joanne picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Joanne","Tony","Rachel","Kenneth"],"index":25256,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9651242495,"difficulty":0.0348757505}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Derick's card is shown to Margaret. Florence's card is shown to Derick. Florence's card is shown to Florence. It is publicly announced that someone picked a red card. It is publicly announced that Florence knows whether someone picked a red card. It is publicly announced that Derick does not know whether Margaret picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] Agentc knows whether (Agentb knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Florence can now know whether Derick can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Margaret","Derick","Florence"],"index":9578,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993989468,"difficulty":0.0006010532}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Simon's card is shown to Simon. Simon's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that Simon picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows whether (Agenta knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] 0","hypothesis":"Michael can now know whether Simon can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Simon","Michael"],"index":56793,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994582534,"difficulty":0.0005417466}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Jeffrey. Luciano's card is shown to Jeffrey. Nancy's card is shown to Luciano. Jeffrey's card is shown to Nancy. It is publicly announced that someone picked a red card. It is publicly announced that Nancy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Jeffrey can now know whether Nancy can know that Jeffrey picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jeffrey","Luciano","Nancy"],"index":26433,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9135208726,"difficulty":0.0864791274}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Nancy. Brandon's card is shown to Brandon. Dan's card is shown to Brandon. Nancy's card is shown to Dan. Barbara's card is shown to Dan. Barbara's card is shown to Barbara. It is publicly announced that someone picked a red card. It is publicly announced that Brandon knows whether someone picked a red card. It is publicly announced that Brandon knows whether or not nobody picked a red card. It is publicly announced that Dan does not know whether Brandon picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,3 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agentc knows whether 2) ] Agentb knows that (Agenta knows that (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,3 Agentc:1,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Brandon can now know that Nancy can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Nancy","Brandon","Dan","Barbara"],"index":46782,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994059801,"difficulty":0.0005940199}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brant's card is shown to Charlotte. Charlotte's card is shown to Charlotte. Jessica's card is shown to Charlotte. Karen's card is shown to Jessica. Jessica's card is shown to Jessica. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:2,4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Brant can now know that Karen can know that Charlotte picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Brant","Karen","Charlotte","Jessica"],"index":27784,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982142448,"difficulty":0.0017857552}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Johnny's card is shown to Thomas. Susan's card is shown to Johnny. Johnny's card is shown to Johnny. Thomas's card is shown to James. Johnny's card is shown to James. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3|4) ] (Agentc knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Johnny can now know that James picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Susan","Thomas","Johnny","James"],"index":5481,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9984423518,"difficulty":0.0015576482}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Monique's card is shown to Monique. Philip's card is shown to Monique. Bessie's card is shown to Philip. Philip's card is shown to Bessie. Bessie's card is shown to Bessie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Philip can now know that Bessie can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Monique","Philip","Bessie"],"index":38314,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9863685966,"difficulty":0.0136314034}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lauren's card is shown to Shawn. Shawn's card is shown to Shawn. Lauren's card is shown to Holly. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lauren can now know that Shawn can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lauren","Shawn","Holly"],"index":21758,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993444085,"difficulty":0.0006555915}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patricia's card is shown to Patricia. Patricia's card is shown to Gary. Gary's card is shown to Gary. It is publicly announced that someone picked a red card. It is publicly announced that Gary knows whether Gary picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agenta knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Gary can now know whether Patricia can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Patricia","Gary"],"index":9206,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994462132,"difficulty":0.0005537868}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ollie's card is shown to Mary. Mary's card is shown to Ollie. Ollie's card is shown to Ollie. Mary's card is shown to Luis. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Mary can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Mary","Ollie","Luis"],"index":9973,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994032383,"difficulty":0.0005967617}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Terry's card is shown to Terry. Mike's card is shown to Terry. Betty's card is shown to Terry. Juanita's card is shown to Mike. Betty's card is shown to Mike. Mike's card is shown to Betty. Betty's card is shown to Betty. It is publicly announced that someone picked a red card. It is publicly announced that Terry does not know whether Terry picked a red card. It is publicly announced that Terry does not know whether Terry picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] Agentb knows that (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1,4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Terry can now know that Mike can know that Terry picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Juanita","Terry","Mike","Betty"],"index":44334,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9838472009,"difficulty":0.0161527991}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stephen's card is shown to Stephen. Hien's card is shown to Stephen. Stephen's card is shown to Hien. It is publicly announced that someone picked a red card. It is publicly announced that Michelle does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Michelle can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Michelle","Stephen","Hien"],"index":42337,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998300612,"difficulty":0.001699388}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lorraine's card is shown to Lorraine. Teresa's card is shown to Teresa. Lorraine's card is shown to Megan. Teresa's card is shown to Megan. Megan's card is shown to Megan. It is publicly announced that someone picked a red card. It is publicly announced that Lorraine does not know whether or not everyone picked a red card. It is publicly announced that Teresa knows whether Teresa picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agenta knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Teresa can now know whether Lorraine can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lorraine","Teresa","Megan"],"index":30004,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9873792529,"difficulty":0.0126207471}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brianne's card is shown to Sharon. Johnny's card is shown to Johnny. Sharon's card is shown to Brianne. Brianne's card is shown to Brianne. It is publicly announced that someone picked a red card. It is publicly announced that Brianne does not know whether Johnny picked a red card. It is publicly announced that Brianne knows whether Sharon picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentc knows whether 1) ] (Agentb knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentc knows whether 1) ] 0","hypothesis":"Johnny can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Sharon","Johnny","Brianne"],"index":56601,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989160299,"difficulty":0.0010839701}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Odessa's card is shown to Odessa. Odessa's card is shown to Maria. It is publicly announced that someone picked a red card. It is publicly announced that Odessa does not know whether Maria picked a red card. It is publicly announced that Odessa knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (~(1|2))) ] (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Maria can now know that Odessa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Odessa","Maria"],"index":36578,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9705159664,"difficulty":1.9705159664}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrea's card is shown to Andrea. Tom's card is shown to Andrea. Donna's card is shown to Tom. Tom's card is shown to Ruby. Ruby's card is shown to Donna. Donna's card is shown to Donna. It is publicly announced that someone picked a red card. It is publicly announced that Tom does not know whether Ruby picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agentd knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Donna can now know that Ruby can know that Andrea picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Andrea","Tom","Ruby","Donna"],"index":34753,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9979502559,"difficulty":0.0020497441}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michelle's card is shown to Michelle. Patricia's card is shown to Michelle. Mark's card is shown to Michelle. Mark's card is shown to Patricia. Mark's card is shown to Mark. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] Agentb knows that (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Patricia can now know that Mark can know whether Mark picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Michelle","Patricia","Mark"],"index":37823,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6694284081,"difficulty":0.3305715919}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Willard's card is shown to Willard. Michael's card is shown to Willard. Willard's card is shown to Valerie. Michael's card is shown to Michael. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Michael can now know that Willard can know whether Willard picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Willard","Valerie","Michael"],"index":30692,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7136279345,"difficulty":0.2863720655}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Paul. Wanda's card is shown to Paul. Paul's card is shown to Henry. Henry's card is shown to Henry. Vivian's card is shown to Henry. Wanda's card is shown to Henry. Paul's card is shown to Vivian. Henry's card is shown to Wanda. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2,3,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2,3,4 Agentc:1 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Henry can now know that Vivian can know that Wanda picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Paul","Henry","Vivian","Wanda"],"index":54628,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9981529117,"difficulty":0.0018470883}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dina's card is shown to Alberta. Kevin's card is shown to Kevin. Dina's card is shown to Dina. Dina's card is shown to Brandon. Brandon's card is shown to Brandon. It is publicly announced that someone picked a red card. It is publicly announced that Brandon does not know whether Alberta picked a red card. It is publicly announced that Alberta does not know whether Alberta picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agenta knows whether 1) ] Agenta knows whether (Agentb knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:3 Agentd:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Alberta can now know whether Kevin can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Alberta","Kevin","Dina","Brandon"],"index":43900,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993849993,"difficulty":0.0006150007}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jesse's card is shown to Jesse. Alice's card is shown to Jesse. John's card is shown to John. John's card is shown to Alice. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"John can now know whether Alice picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jesse","John","Alice"],"index":8003,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.892147541,"difficulty":1.892147541}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Kimberly. Mary's card is shown to Paul. It is publicly announced that someone picked a red card. It is publicly announced that Louise picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agentb knows that (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0","hypothesis":"Louise can now know that Kimberly can know whether Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kimberly","Louise","Paul","Mary"],"index":51031,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8350791335,"difficulty":0.1649208665}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lynne's card is shown to John. Robert's card is shown to Robert. Robert's card is shown to Lynne. It is publicly announced that someone picked a red card. It is publicly announced that Robert picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! 2 ] 0","hypothesis":"Lynne can now know that Robert picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["John","Robert","Lynne"],"index":1358,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6437190175,"difficulty":0.3562809825}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Oliver's card is shown to Jessica. Kathy's card is shown to Oliver. Kenneth's card is shown to Kenneth. Jessica's card is shown to Kathy. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agentb knows whether (Agentd knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Oliver can now know whether Kathy can know whether Oliver picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jessica","Oliver","Kenneth","Kathy"],"index":47870,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9982774258,"difficulty":0.0017225742}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Patricia. David's card is shown to David. Patricia's card is shown to Carmen. David's card is shown to Carmen. Carmen's card is shown to Carmen. It is publicly announced that someone picked a red card. It is publicly announced that David picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"David can now know whether Carmen picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Patricia","David","James","Carmen"],"index":21595,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9531538486,"difficulty":1.9531538486}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Melissa's card is shown to Susan. Susan's card is shown to Emily. Emily's card is shown to Kevin. Melissa's card is shown to Kevin. Kevin's card is shown to Melissa. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2,4 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentd knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2,4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Emily can now know whether Melissa can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Susan","Emily","Kevin","Melissa"],"index":37893,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993964434,"difficulty":0.0006035566}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Holly's card is shown to Holly. Douglas's card is shown to Holly. Holly's card is shown to Douglas. Holly's card is shown to Warren. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Holly can now know whether Douglas can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Holly","Douglas","Warren"],"index":64060,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.99933213,"difficulty":0.00066787}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Maria's card is shown to Maria. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Cheryl knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Cheryl can now know whether Maria picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Cheryl","Maria"],"index":12624,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9532756209,"difficulty":0.0467243791}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Deborah's card is shown to Robbie. Robbie's card is shown to Deborah. Deborah's card is shown to Deborah. Lucille's card is shown to Richard. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robbie can now know that Richard can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Robbie","Deborah","Richard","Lucille"],"index":42492,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9987529516,"difficulty":0.0012470484}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Geraldine's card is shown to Geraldine. Debbie's card is shown to Geraldine. Geraldine's card is shown to Tony. Dean's card is shown to Debbie. Dean's card is shown to Dean. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Tony can now know that Debbie can know whether Dean picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Geraldine","Tony","Debbie","Dean"],"index":22784,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.5351498723,"difficulty":1.5351498723}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Keith's card is shown to Keith. Paige's card is shown to Paige. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] Agenta knows whether (Agentb knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0","hypothesis":"Keith can now know whether Paige can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Keith","Paige"],"index":61721,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993946552,"difficulty":0.0006053448}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cathy's card is shown to Cathy. Wayne's card is shown to Cathy. Cathy's card is shown to Jonathan. Wayne's card is shown to Wayne. Wayne's card is shown to Hae. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Cathy can now know that Wayne picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Cathy","Jonathan","Wayne","Hae"],"index":7865,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9961777925,"difficulty":0.0038222075}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Diana's card is shown to Felton. Felton's card is shown to Diana. It is publicly announced that someone picked a red card. It is publicly announced that Felton picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] Agentb knows whether (Agenta knows that (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] 0","hypothesis":"Diana can now know whether Felton can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Felton","Diana"],"index":15485,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992755055,"difficulty":0.0007244945}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dale's card is shown to Eric. Dale's card is shown to Dale. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] Agenta knows whether (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] 0","hypothesis":"Eric can now know whether Dale can know whether Dale picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Eric","Dale"],"index":1558,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9973332882,"difficulty":0.0026667118}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leslie's card is shown to Edward. Leslie's card is shown to Leslie. Lillian's card is shown to Lillian. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Lila can now know whether Leslie can know whether Lillian picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Lila","Edward","Leslie","Lillian"],"index":15389,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9981597066,"difficulty":0.0018402934}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Michael's card is shown to Eileen. Eileen's card is shown to Eileen. Michael's card is shown to Samuel. Eileen's card is shown to Samuel. It is publicly announced that someone picked a red card. It is publicly announced that Eileen does not know whether Samuel picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentc knows that (Agentb knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Jay can now know that Eileen can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Michael","Eileen","Jay","Samuel"],"index":37433,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999358356,"difficulty":0.000641644}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jon's card is shown to Kenneth. Tammy's card is shown to Kenneth. Queen's card is shown to Kenneth. Tammy's card is shown to Tammy. Queen's card is shown to Tammy. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Kenneth can now know whether Queen picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Kenneth","Jon","Tammy","Queen"],"index":28444,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8691626787,"difficulty":0.1308373213}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Victoria's card is shown to Genevive. Genevive's card is shown to Victoria. Genevive's card is shown to Courtney. Victoria's card is shown to Courtney. Courtney's card is shown to Courtney. It is publicly announced that someone picked a red card. It is publicly announced that Courtney knows whether Victoria picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 2) ] 0","hypothesis":"Courtney can now know whether Courtney picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Genevive","Victoria","Courtney"],"index":66652,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8269620538,"difficulty":0.1730379462}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Reginald's card is shown to Theodore. Rodney's card is shown to Reginald. Rodney's card is shown to Rodney. It is publicly announced that someone picked a red card. It is publicly announced that Rodney does not know whether Reginald picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Reginald can now know that Theodore picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Theodore","Reginald","Rodney"],"index":25327,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998065412,"difficulty":0.001934588}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janice's card is shown to Janice. Lillian's card is shown to Janice. Bertha's card is shown to Janice. Bertha's card is shown to Jennifer. Janice's card is shown to Lillian. Janice's card is shown to Bertha. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentb knows whether (Agentc knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Jennifer can now know whether Lillian can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Janice","Jennifer","Lillian","Bertha"],"index":24510,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.990695715,"difficulty":0.009304285}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roy's card is shown to Roy. Briana's card is shown to Roy. Roy's card is shown to Briana. It is publicly announced that someone picked a red card. It is publicly announced that Roy knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Roy can now know that Briana picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Roy","Briana"],"index":15592,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9940654039,"difficulty":0.0059345961}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Darryl's card is shown to Darryl. Kenneth's card is shown to Darryl. Kenneth's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Kenneth picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] Agenta knows whether (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] 0","hypothesis":"Darryl can now know whether Kenneth can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Darryl","Kenneth"],"index":19439,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9826642871,"difficulty":0.0173357129}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Monika's card is shown to Monika. Barbara's card is shown to Henry. Monika's card is shown to Barbara. Katherine's card is shown to Barbara. Barbara's card is shown to Katherine. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,4 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Barbara can now know whether Henry picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Monika","Henry","Barbara","Katherine"],"index":66200,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9979751706,"difficulty":0.0020248294}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Forrest's card is shown to Forrest. Pablo's card is shown to Forrest. Earl's card is shown to Pablo. Pablo's card is shown to Earl. It is publicly announced that someone picked a red card. It is publicly announced that Earl does not know whether Earl picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Forrest can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Forrest","Pablo","Earl"],"index":65382,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994373918,"difficulty":0.0005626082}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helen's card is shown to Helen. Rachel's card is shown to Helen. Sarah's card is shown to Helen. Helen's card is shown to Robbie. Robbie's card is shown to Sarah. Sarah's card is shown to Sarah. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentc knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robbie can now know that Rachel can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Helen","Robbie","Rachel","Sarah"],"index":53012,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992728829,"difficulty":0.0007271171}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Teresa's card is shown to Joanne. Robert's card is shown to Joanne. Teresa's card is shown to Teresa. Joanne's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Teresa can now know whether Joanne can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Joanne","Teresa","Robert"],"index":50020,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9611361623,"difficulty":0.0388638377}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Hazel. Joyce's card is shown to Hazel. Paul's card is shown to Paul. Paul's card is shown to Joyce. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Paul can now know that Hazel can know that Hazel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Hazel","Paul","Joyce"],"index":44844,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.997451365,"difficulty":0.002548635}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Pauline's card is shown to Pauline. Pauline's card is shown to Bradley. Marvin's card is shown to Marvin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Bradley can now know whether Pauline picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Pauline","David","Bradley","Marvin"],"index":4049,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8945398927,"difficulty":1.8945398927}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Lisa. Lisa's card is shown to Mary. Lisa's card is shown to Michael. Mary's card is shown to Michael. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lisa can now know that Lisa picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Lisa","Mary","Michael"],"index":60386,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9961054921,"difficulty":0.0038945079}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sallie's card is shown to Alan. Alan's card is shown to Beulah. Juanita's card is shown to Beulah. Sallie's card is shown to Juanita. Beulah's card is shown to Juanita. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:2,3 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Alan can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Alan","Sallie","Beulah","Juanita"],"index":2621,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993614554,"difficulty":0.0006385446}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Burl's card is shown to Jessica. Jessica's card is shown to Justin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Burl can now know that Jessica can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jessica","Burl","Justin"],"index":65858,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9908413887,"difficulty":0.0091586113}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to David. Sharon's card is shown to David. Betty's card is shown to Betty. Sharon's card is shown to Betty. Sharon's card is shown to Sharon. Katie's card is shown to Sharon. Katie's card is shown to Katie. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (1&2&3&4) ] (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3 Agentc:3,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Sharon can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["David","Betty","Sharon","Katie"],"index":46686,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9865474701,"difficulty":0.0134525299}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ruby's card is shown to Ruby. Ruby's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Mary knows whether someone picked a red card. It is publicly announced that Mary does not know whether Mary picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 2) ] Agenta knows that (Agentb knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Ruby can now know that Mary can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ruby","Mary","Aretha"],"index":22077,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994261265,"difficulty":0.0005738735}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louisa's card is shown to Louisa. Bertha's card is shown to Louisa. Louisa's card is shown to Bertha. Bertha's card is shown to Bertha. Lyman's card is shown to Bertha. Bertha's card is shown to Lyman. Lyman's card is shown to Gustavo. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:2 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Bertha can now know that Gustavo picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Louisa","Bertha","Lyman","Gustavo"],"index":10494,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9985246062,"difficulty":0.0014753938}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elsie's card is shown to David. Elsie's card is shown to Elsie. Joseph's card is shown to Joseph. Elsie's card is shown to Lawrence. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentd knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Elsie can now know whether Lawrence can know that Lawrence picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["David","Elsie","Joseph","Lawrence"],"index":15916,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9254245758,"difficulty":1.9254245758}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gerald's card is shown to Justin. Gerald's card is shown to Gerald. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Barbara can now know that Justin can know whether Justin picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Justin","Barbara","Gerald"],"index":27119,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8617475033,"difficulty":0.1382524967}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Jamie. Jamie's card is shown to Michael. Michael's card is shown to Michael. Jamie's card is shown to James. Michael's card is shown to Ethel. Ethel's card is shown to Ethel. It is publicly announced that someone picked a red card. It is publicly announced that Ethel does not know whether James picked a red card. It is publicly announced that Jamie knows whether James picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 3) ] Agentb knows that (Agentd knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 3) ] 0","hypothesis":"Michael can now know that Ethel can know that Michael picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jamie","Michael","James","Ethel"],"index":57950,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9897219539,"difficulty":0.0102780461}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nancy's card is shown to Jonathan. Andrea's card is shown to Jonathan. Nancy's card is shown to Daniel. Daniel's card is shown to Daniel. Daniel's card is shown to Andrea. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2,3 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Daniel can now know that Jonathan can know that Andrea picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jonathan","Nancy","Daniel","Andrea"],"index":11303,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982262254,"difficulty":0.0017737746}
+{"premise":"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. Sarah's card is shown to Audrey. Sarah's card is shown to Vickie. Audrey's card is shown to Ashley. Vickie's card is shown to Sarah. Sarah's card is shown to Sarah. It is publicly announced that someone picked a red card. It is publicly announced that Vickie does not know whether Audrey picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agentd knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Vickie can now know that Sarah can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Audrey","Vickie","Ashley","Sarah"],"index":19581,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9790936112,"difficulty":0.0209063888}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Randy's card is shown to Jose. Randy's card is shown to Randy. It is publicly announced that someone picked a red card. It is publicly announced that Randy does not know whether or not everyone picked a red card. It is publicly announced that Jose does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows whether (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Jose can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Jose","Randy"],"index":43462,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994254112,"difficulty":0.0005745888}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eli's card is shown to Eli. Danilo's card is shown to Eli. Charlotte's card is shown to Danilo. Eli's card is shown to Charlotte. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Charlotte can now know that Charlotte picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Eli","Danilo","Charlotte"],"index":7497,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9949856997,"difficulty":0.0050143003}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Daniel's card is shown to Peter. Peter's card is shown to Leonard. Daniel's card is shown to Daniel. It is publicly announced that someone picked a red card. It is publicly announced that Daniel does not know whether Leonard picked a red card. It is publicly announced that Peter does not know whether Peter picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] Agentc knows whether (Agentb knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Daniel can now know whether Leonard can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Peter","Leonard","Daniel"],"index":35862,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999161005,"difficulty":0.000838995}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eva's card is shown to Carmen. Carmen's card is shown to Michael. Carmen's card is shown to Eva. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Michael can now know that Carmen can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Carmen","Michael","Eva"],"index":59097,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999352634,"difficulty":0.000647366}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Samuel's card is shown to Johnny. Chad's card is shown to Chad. Johnny's card is shown to Nicole. Samuel's card is shown to Nicole. Johnny's card is shown to Samuel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] (Agentd knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:1,4 Agentd:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Samuel can now know that Samuel picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Johnny","Chad","Nicole","Samuel"],"index":23802,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9941138625,"difficulty":0.0058861375}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janet's card is shown to Mary. Joseph's card is shown to Mary. Joseph's card is shown to Janet. Anthony's card is shown to Janet. Mary's card is shown to Joseph. Joseph's card is shown to Joseph. Anthony's card is shown to Joseph. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3,4 Agentc:1,3,4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3,4 Agentc:1,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Joseph can now know whether Mary can know whether Anthony picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Mary","Janet","Joseph","Anthony"],"index":62669,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9986496568,"difficulty":0.0013503432}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Corey's card is shown to Viola. Michael's card is shown to Corey. Corey's card is shown to Matthew. Matthew's card is shown to Matthew. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:2,4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know whether Corey picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Viola","Corey","Michael","Matthew"],"index":55742,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7361698747,"difficulty":1.7361698747}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Barbara. Emma's card is shown to Barbara. Emma's card is shown to Kourtney. Kourtney's card is shown to Kourtney. It is publicly announced that someone picked a red card. It is publicly announced that Emma does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Emma can now know whether Barbara can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Barbara","Emma","Kourtney"],"index":13169,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994480014,"difficulty":0.0005519986}
+{"premise":"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 Christina. Tia's card is shown to Christina. Christina's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Mary does not know whether Tia picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agenta knows whether (Agentb knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Christina can now know whether Mary can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Christina","Mary","Tia"],"index":12491,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9897152781,"difficulty":0.0102847219}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laverne's card is shown to Laverne. Emily's card is shown to Laverne. Laverne's card is shown to Emily. 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 Emily picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(2) ] Agenta knows that (Agentb knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(2) ] 0","hypothesis":"Laverne can now know that Emily can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Laverne","Emily"],"index":56056,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994046688,"difficulty":0.0005953312}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Deborah. Berta's card is shown to Deborah. Deborah's card is shown to Patricia. Patricia's card is shown to Robert. Robert's card is shown to Robert. Patricia's card is shown to Berta. Robert's card is shown to Berta. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1 Agentc:2,3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1 Agentc:2,3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know whether Robert picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Deborah","Patricia","Robert","Berta"],"index":50798,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9379478693,"difficulty":0.0620521307}
+{"premise":"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 Benjamin. Miquel's card is shown to Miquel. Mary's card is shown to Miquel. Miquel's card is shown to Lauren. Lauren's card is shown to Lauren. Mary's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:2,3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2,4 Agentc:2,3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Benjamin can now know whether Miquel picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Benjamin","Miquel","Lauren","Mary"],"index":35813,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.7521073818,"difficulty":1.7521073818}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Mary. Mary's card is shown to Shu. Mary's card is shown to Eileen. Shu's card is shown to Eileen. It is publicly announced that someone picked a red card. It is publicly announced that Shu does not know whether Kyle picked a red card. It is publicly announced that Shu does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Mary can now know whether Kyle picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Kyle","Shu","Eileen"],"index":4,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9747561216,"difficulty":0.0252438784}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jose's card is shown to Jose. Jennifer's card is shown to Jose. Jennifer's card is shown to James. Jose's card is shown to Maryann. Maryann's card is shown to Maryann. It is publicly announced that someone picked a red card. It is publicly announced that Maryann does not know whether Jennifer picked a red card. It is publicly announced that James does not know whether Maryann picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3|4) ] (Agentb knows whether (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3|4) ] 0","hypothesis":"James can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jose","James","Maryann","Jennifer"],"index":60501,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993591905,"difficulty":0.0006408095}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tabatha's card is shown to Ronald. Ronald's card is shown to Tabatha. Tabatha's card is shown to Elsie. Tabatha's card is shown to Charles. It is publicly announced that someone picked a red card. It is publicly announced that Elsie knows whether or not everyone picked a red card. It is publicly announced that Charles does not know whether Elsie picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 Agentd:2 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Charles can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ronald","Tabatha","Elsie","Charles"],"index":31115,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9987481833,"difficulty":0.0012518167}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alan's card is shown to Barbara. Robert's card is shown to Alan. Barbara's card is shown to Robert. Alan's card is shown to Jack. Jack's card is shown to Jack. It is publicly announced that someone picked a red card. It is publicly announced that Alan does not know whether Barbara picked a red card. It is publicly announced that Jack does not know whether Barbara picked a red card. It is publicly announced that Robert does not know whether Alan picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:3 Agentc:1 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Barbara can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Barbara","Alan","Robert","Jack"],"index":11931,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990183115,"difficulty":0.0009816885}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christine's card is shown to Christine. Debra's card is shown to Debra. Christine's card is shown to Deborah. Debra's card is shown to Deborah. Deborah's card is shown to Deborah. It is publicly announced that someone picked a red card. It is publicly announced that Christine does not know whether or not everyone picked a red card. It is publicly announced that Debra knows whether Debra picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agentc knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Debra can now know whether Deborah can know whether Debra picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Christine","Debra","Deborah"],"index":56815,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.997961998,"difficulty":0.002038002}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to Allen. Allen's card is shown to Allen. It is publicly announced that someone picked a red card. It is publicly announced that Allen picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! 2 ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 VALID? [ ! (1|2) ] [ ! 2 ] 0","hypothesis":"William can now know whether Allen picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["William","Allen"],"index":24672,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9767285585,"difficulty":0.0232714415}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to Ronald. Kevin's card is shown to Ronald. Pamela's card is shown to Ronald. Ronald's card is shown to Thomas. Pamela's card is shown to Thomas. It is publicly announced that someone picked a red card. It is publicly announced that Kevin does not know whether Kevin picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] (Agentb knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,4 Agentb:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Kevin can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ronald","Kevin","Thomas","Pamela"],"index":66827,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9917008281,"difficulty":0.0082991719}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Emily's card is shown to Emily. Lisa's card is shown to Emily. Lamar's card is shown to Lamar. Ned's card is shown to Lamar. Lisa's card is shown to Lamar. Emily's card is shown to Ned. Ned's card is shown to Lisa. It is publicly announced that someone picked a red card. It is publicly announced that Lisa knows whether or not nobody picked a red card. It is publicly announced that Lisa picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2,3,4 Agentc:1 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! 4 ] Agentc knows whether (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2,3,4 Agentc:1 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! 4 ] 0","hypothesis":"Ned can now know whether Lisa can know that Ned picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Emily","Lamar","Ned","Lisa"],"index":30957,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9313575625,"difficulty":1.9313575625}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. Alexander's card is shown to David. Alexander's card is shown to Alexander. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Alexander does not know whether or not everyone picked a red card. It is publicly announced that Alexander does not know whether David picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agenta knows whether (~(1|2)))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Alexander can now know that David can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["David","Alexander"],"index":40646,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994525313,"difficulty":0.0005474687}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Willie's card is shown to Willie. Willie's card is shown to Hugh. Hugh's card is shown to Carol. Kenneth's card is shown to Carol. Kenneth's card is shown to Kenneth. It is publicly announced that someone picked a red card. It is publicly announced that Hugh knows whether or not nobody picked a red card. It is publicly announced that Carol picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(3) ] Agenta knows that (Agentb knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(3) ] 0","hypothesis":"Willie can now know that Hugh can know that Kenneth picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Willie","Hugh","Carol","Kenneth"],"index":53608,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9927371144,"difficulty":0.0072628856}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. David's card is shown to Tony. Tony's card is shown to Tony. David's card is shown to Judith. Judith's card is shown to Judith. It is publicly announced that someone picked a red card. It is publicly announced that Judith does not know whether Tony picked a red card. It is publicly announced that Judith does not know whether Tony picked a red card. It is publicly announced that Tony knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] (Agenta knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"David can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["David","Tony","Judith"],"index":38720,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994383454,"difficulty":0.0005616546}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nancy's card is shown to Charlene. Charlene's card is shown to Maria. Justin's card is shown to Maria. Justin's card is shown to Nancy. Nancy's card is shown to Nancy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2 Agentc:2,4 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,2 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Justin can now know whether Maria picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charlene","Justin","Maria","Nancy"],"index":26567,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9967646599,"difficulty":0.0032353401}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eva's card is shown to Eva. Lavonne's card is shown to Eva. Eva's card is shown to Lavonne. Lavonne's card is shown to Lavonne. Robert's card is shown to Lavonne. Eva's card is shown to Robert. Lavonne's card is shown to Robert. Robert's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agentc knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robert can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Eva","Lavonne","Robert"],"index":64292,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993565679,"difficulty":0.0006434321}
+{"premise":"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 Daniel. Carrie's card is shown to Willie. Rebecca's card is shown to Willie. Daniel's card is shown to Carrie. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Carrie picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(3) ] Agentc knows whether (Agentb knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(3) ] 0","hypothesis":"Carrie can now know whether Willie can know that Carrie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Daniel","Willie","Carrie","Rebecca"],"index":18513,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9284430146,"difficulty":0.0715569854}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shawna's card is shown to James. Lucas's card is shown to James. Shawna's card is shown to Shawna. Shawna's card is shown to Lucas. It is publicly announced that someone picked a red card. It is publicly announced that Shawna knows whether Shawna picked a red card. It is publicly announced that Shawna does not know whether or not everyone picked a red card. It is publicly announced that James does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows that (Agentc knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"James can now know that Lucas can know that Lucas picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["James","Shawna","Lucas"],"index":51636,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9088039994,"difficulty":1.9088039994}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jon's card is shown to Carrie. Charles's card is shown to Carrie. Carrie's card is shown to Charles. Jon's card is shown to Alan. Alan's card is shown to Alan. It is publicly announced that someone picked a red card. It is publicly announced that Charles knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] (Agenta knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:2,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Carrie can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Carrie","Jon","Charles","Alan"],"index":22973,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9988827109,"difficulty":0.0011172891}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Willis's card is shown to Debra. Willis's card is shown to William. Gregory's card is shown to Gregory. Gregory's card is shown to Willis. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Debra can now know whether Gregory can know whether Gregory picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Debra","William","Gregory","Willis"],"index":8519,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9970701933,"difficulty":0.0029298067}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Kaylene. Michael's card is shown to Michael. Michael's card is shown to Deana. Deana's card is shown to Deana. It is publicly announced that someone picked a red card. It is publicly announced that Michael picked a black card. It is publicly announced that Deana picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! 3 ] Agentb knows whether (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! 3 ] 0","hypothesis":"Michael can now know whether Deana can know that Deana picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Kaylene","Michael","Deana"],"index":15564,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9725791812,"difficulty":0.0274208188}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to Jerry. Jerry's card is shown to Larry. It is publicly announced that someone picked a red card. It is publicly announced that Larry picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(2) ] 0","hypothesis":"Jerry can now know whether Larry picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Jerry","Larry"],"index":28271,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9733038545,"difficulty":0.0266961455}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ignacio's card is shown to Margot. Reginald's card is shown to Ignacio. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Reginald can now know whether Margot can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Margot","Reginald","Ignacio","Audrey"],"index":31744,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9938409328,"difficulty":0.0061590672}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carmen's card is shown to Marianne. Carmen's card is shown to Carmen. Teresa's card is shown to Carmen. Marianne's card is shown to Teresa. It is publicly announced that someone picked a red card. It is publicly announced that Carmen does not know whether Marianne picked a red card. It is publicly announced that Carmen does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Carmen can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Marianne","Carmen","Teresa"],"index":44432,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983427525,"difficulty":0.0016572475}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sherry's card is shown to Michel. Michel's card is shown to Sherry. Cristina's card is shown to Sara. Michel's card is shown to Sara. Sara's card is shown to Sara. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentb knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Sherry can now know that Michel can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Cristina","Michel","Sherry","Sara"],"index":2066,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993361831,"difficulty":0.0006638169}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Walter's card is shown to Walter. Scott's card is shown to Miranda. Miranda's card is shown to Leah. Walter's card is shown to Scott. Leah's card is shown to Scott. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Walter can now know that Leah can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Walter","Miranda","Leah","Scott"],"index":19224,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9987630844,"difficulty":0.0012369156}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nicole's card is shown to Nicole. Terry's card is shown to Nicole. Nicole's card is shown to Lynn. Nicole's card is shown to Terry. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lynn can now know that Nicole can know whether Terry picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Nicole","Lynn","Terry"],"index":63886,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.8026020527,"difficulty":1.8026020527}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Linda's card is shown to Marjorie. Marjorie's card is shown to Linda. It is publicly announced that someone picked a red card. It is publicly announced that Marjorie knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] Agentb knows that (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] 0","hypothesis":"Linda can now know that Marjorie can know that Linda picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Marjorie","Linda"],"index":41515,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.8307185173,"difficulty":0.1692814827}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Grady's card is shown to Grady. Pearl's card is shown to Grady. John's card is shown to Pearl. John's card is shown to Darryl. Pearl's card is shown to John. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Darryl can now know whether John picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Grady","Pearl","Darryl","John"],"index":15482,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.6383714676,"difficulty":1.6383714676}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Theodore's card is shown to Jacob. Jacob's card is shown to Theodore. It is publicly announced that someone picked a red card. It is publicly announced that Jacob picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] (Agenta knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] 0","hypothesis":"Jacob can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Jacob","Theodore"],"index":27467,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994756579,"difficulty":0.0005243421}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Deborah's card is shown to Deborah. Clark's card is shown to Deborah. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Bruce can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Bruce","Deborah","Clark","Sandra"],"index":24780,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993354678,"difficulty":0.0006645322}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patrick's card is shown to Bernice. Roy's card is shown to Bernice. Roy's card is shown to Ryan. Ryan's card is shown to Ryan. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3,4 VALID? [ ! (1|2|3|4) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Bernice can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Bernice","Patrick","Roy","Ryan"],"index":38251,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989319444,"difficulty":0.0010680556}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Karen's card is shown to Karen. Antoinette's card is shown to Jody. Andrea's card is shown to Antoinette. Karen's card is shown to Andrea. It is publicly announced that someone picked a red card. It is publicly announced that Karen knows whether Karen picked a red card. It is publicly announced that Karen does not know whether or not everyone picked a red card. It is publicly announced that Jody does not know whether Jody picked a red card. It is publicly announced that Antoinette does not know whether Jody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentc knows whether 2) ] (Agentb knows that (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Jody can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Karen","Jody","Antoinette","Andrea"],"index":66503,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982963204,"difficulty":0.0017036796}
+{"premise":"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 Nathaniel. Shannon's card is shown to Shannon. Robbie's card is shown to Audrey. It is publicly announced that someone picked a red card. It is publicly announced that Shannon does not know whether Audrey picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Shannon does not know whether Shannon picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentc knows whether 3) ] Agenta knows that (Agentb knows whether (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Nathaniel can now know that Robbie can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Nathaniel","Robbie","Shannon","Audrey"],"index":53648,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993867874,"difficulty":0.0006132126}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marguerita's card is shown to Jerry. Terrance's card is shown to Terrance. Terrance's card is shown to Marguerita. It is publicly announced that someone picked a red card. It is publicly announced that Terrance does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Terrance can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jerry","Terrance","Marguerita"],"index":18309,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994369149,"difficulty":0.0005630851}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kelvin's card is shown to Kelvin. Juan's card is shown to Delois. Kimberly's card is shown to Delois. Juan's card is shown to Kimberly. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Kelvin can now know whether Kimberly picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Juan","Kelvin","Delois","Kimberly"],"index":55862,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9826338887,"difficulty":1.9826338887}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcus's card is shown to Marcus. Michael's card is shown to Robert. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Michael does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Michael can now know whether Michael picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Michael","Marcus","Robert"],"index":55685,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8349075317,"difficulty":1.8349075317}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Bernard's card is shown to Viola. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Bernard can now know that Bernard picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Bernard","Viola","William","Amy"],"index":56429,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9608923197,"difficulty":0.0391076803}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Matthew's card is shown to Constance. Constance's card is shown to Matthew. Matthew's card is shown to Matthew. It is publicly announced that someone picked a red card. It is publicly announced that Matthew picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] Agenta knows whether (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0","hypothesis":"Constance can now know whether Matthew can know that Constance picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Constance","Matthew"],"index":30262,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9092800021,"difficulty":0.0907199979}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Juanita's card is shown to Juanita. Theresa's card is shown to Juanita. Juanita's card is shown to Theresa. Theresa's card is shown to Theresa. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] (Agentb knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Theresa can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Juanita","Theresa"],"index":20272,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994109869,"difficulty":0.0005890131}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeffrey's card is shown to Quinn. Harold's card is shown to Jeffrey. Quinn's card is shown to Harold. Jeffrey's card is shown to Harold. It is publicly announced that someone picked a red card. It is publicly announced that Jeffrey knows whether or not nobody picked a red card. It is publicly announced that Jeffrey does not know whether Quinn picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Jeffrey can now know that Jeffrey picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Quinn","Jeffrey","Harold"],"index":11927,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9848751426,"difficulty":0.0151248574}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Susan's card is shown to Susan. Clifford's card is shown to Susan. Clifford's card is shown to Clifford. It is publicly announced that someone picked a red card. It is publicly announced that Susan does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows whether (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Clifford can now know whether Susan can know that Robert picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Susan","Clifford","Robert"],"index":9924,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.942409873,"difficulty":0.057590127}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Henry's card is shown to Henry. Henry's card is shown to Hermelinda. It is publicly announced that someone picked a red card. It is publicly announced that Hermelinda knows whether Hermelinda picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] Agenta knows whether (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Henry can now know whether Hermelinda can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Henry","Hermelinda"],"index":15966,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7421025038,"difficulty":0.2578974962}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jeff's card is shown to Jeff. Harold's card is shown to Jeff. Jeff's card is shown to Harold. Harold's card is shown to Delma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Delma can now know whether Jeff can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jeff","Harold","Delma"],"index":65868,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994090796,"difficulty":0.0005909204}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kyle's card is shown to Kyle. Dorothy's card is shown to Kyle. Kyle's card is shown to Steven. Kyle's card is shown to Dorothy. Steven's card is shown to Dorothy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Steven can now know that Kyle can know that Kyle picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Kyle","Steven","Dorothy"],"index":67252,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9972116351,"difficulty":0.0027883649}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). George's card is shown to David. George's card is shown to George. Deborah's card is shown to George. George's card is shown to Deborah. Deborah's card is shown to Deborah. 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. It is publicly announced that David does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows that (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"George can now know that Deborah can know that Deborah picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["David","George","Deborah"],"index":39334,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.7721922398,"difficulty":1.7721922398}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ernest's card is shown to Ernest. Minnie's card is shown to Ricky. Minnie's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Minnie picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agenta knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Ernest can now know that Richard picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ernest","Minnie","Ricky","Richard"],"index":30978,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9956282377,"difficulty":0.0043717623}
+{"premise":"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. Jody's card is shown to Joan. Jody's card is shown to Jody. Kathryn's card is shown to Kathryn. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Kathryn can now know that Joan can know that Kathryn picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Joan","Jody","Kathryn"],"index":28837,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9962651134,"difficulty":0.0037348866}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Luther's card is shown to James. James's card is shown to Luther. Luther's card is shown to Luther. Lynette's card is shown to Luther. Luther's card is shown to Eileen. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Eileen can now know that Luther picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["James","Luther","Eileen","Lynette"],"index":44346,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9905160069,"difficulty":0.0094839931}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). John's card is shown to Laura. Laura's card is shown to Carolyn. John's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether Carolyn picked a red card. It is publicly announced that Laura does not know whether Laura picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] Agenta knows whether (Agentc knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 1) ] 0","hypothesis":"Laura can now know whether John can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Laura","Carolyn","John"],"index":1540,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999181807,"difficulty":0.000818193}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Victoria's card is shown to Victoria. Victoria's card is shown to Sonja. Sonja's card is shown to Sonja. It is publicly announced that someone picked a red card. It is publicly announced that Victoria knows whether Victoria picked a red card. It is publicly announced that Victoria does not know whether Sonja picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] Agentb knows whether (Agenta knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Sonja can now know whether Victoria can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Victoria","Sonja"],"index":15398,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9756761789,"difficulty":0.0243238211}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Philip's card is shown to Philip. Corinna's card is shown to Philip. Sonya's card is shown to Philip. Corinna's card is shown to Corinna. Philip's card is shown to Sonya. Corinna's card is shown to Sonya. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sonya can now know whether Corinna can know whether Corinna picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Philip","Corinna","Sonya"],"index":13319,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9970423579,"difficulty":0.0029576421}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Sherry. Sherry's card is shown to Scott. Scott's card is shown to Scott. Scott's card is shown to Socorro. Socorro's card is shown to Socorro. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Yung can now know whether Scott can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Yung","Sherry","Scott","Socorro"],"index":15899,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992726445,"difficulty":0.0007273555}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lori's card is shown to Lyle. Lyle's card is shown to Ted. Lori's card is shown to Ted. It is publicly announced that someone picked a red card. It is publicly announced that Ted knows whether Lyle picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] Agentb knows whether (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Ted can now know whether Lyle can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lyle","Ted","Lori"],"index":112,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993149042,"difficulty":0.0006850958}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to Larry. Larry's card is shown to John. George's card is shown to John. Larry's card is shown to George. George's card is shown to George. It is publicly announced that someone picked a red card. It is publicly announced that Larry picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 1 ] Agentb knows that (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"John can now know that Larry can know that John picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Larry","John","George"],"index":36090,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9283643961,"difficulty":0.0716356039}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. David's card is shown to Regina. Regina's card is shown to Regina. It is publicly announced that someone picked a red card. It is publicly announced that David does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] Agentb knows whether (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Regina can now know whether David can know that David picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["David","Regina"],"index":39663,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9350215197,"difficulty":0.0649784803}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Dominick's card is shown to Michael. Michael's card is shown to Dominick. Michael's card is shown to Nora. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] (Agentb knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Dominick can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Michael","Dominick","Nora","Delores"],"index":45055,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993989468,"difficulty":0.0006010532}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to Charles. Charles's card is shown to Joyce. Joyce's card is shown to Joyce. Charles's card is shown to George. Joyce's card is shown to George. George's card is shown to Anna. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentd knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Anna can now know whether George picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Charles","Joyce","George","Anna"],"index":4218,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8792080879,"difficulty":0.1207919121}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sonya's card is shown to Cathy. Cathy's card is shown to Judy. Cathy's card is shown to Sonya. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows whether (Agentb knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sonya can now know whether Judy can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Cathy","Judy","Sonya"],"index":37521,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993821383,"difficulty":0.0006178617}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thu's card is shown to Thu. Robert's card is shown to Thu. Ronald's card is shown to Thu. Thu's card is shown to Calvin. Robert's card is shown to Calvin. Ronald's card is shown to Robert. Thu's card is shown to Ronald. Robert's card is shown to Ronald. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentc knows that (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ronald can now know that Robert can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Thu","Calvin","Robert","Ronald"],"index":34976,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993773103,"difficulty":0.0006226897}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charley's card is shown to Charley. Charley's card is shown to Gloria. Samantha's card is shown to Gloria. It is publicly announced that someone picked a red card. It is publicly announced that Charley does not know whether Cathy picked a red card. It is publicly announced that Charley does not know whether Gloria picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agenta knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Gloria can now know that Charley can know whether Cathy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Charley","Gloria","Cathy","Samantha"],"index":22105,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9917460084,"difficulty":0.0082539916}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dean's card is shown to Dean. James's card is shown to Ebony. Dean's card is shown to James. Josephine's card is shown to James. James's card is shown to Josephine. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,4 Agentd:3 VALID? [ ! (1|2|3|4) ] (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ebony can now know whether Dean picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Dean","Ebony","James","Josephine"],"index":20127,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.926068604,"difficulty":0.073931396}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Krystal's card is shown to Krystal. Jan's card is shown to Jan. Veronica's card is shown to Veronica. It is publicly announced that someone picked a red card. It is publicly announced that Veronica does not know whether Krystal picked a red card. It is publicly announced that Jan picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(2) ] Agentc knows that (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(2) ] 0","hypothesis":"Veronica can now know that Krystal can know that Krystal picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Krystal","Jan","Veronica","Jonathan"],"index":64598,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9457263947,"difficulty":0.0542736053}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. Sheila's card is shown to Sheila. It is publicly announced that someone picked a red card. It is publicly announced that Sheila knows whether Sheila picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (~(1&2)) ] Agenta knows that (Agentb knows whether (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (~(1&2)) ] 0","hypothesis":"William can now know that Sheila can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["William","Sheila"],"index":44902,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994200468,"difficulty":0.0005799532}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roy's card is shown to Roy. Olive's card is shown to Roy. Olive's card is shown to Olive. Roy's card is shown to Angel. Olive's card is shown to Angel. Angel's card is shown to Angel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] (Agenta knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Roy can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Roy","Olive","Angel"],"index":56499,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994080067,"difficulty":0.0005919933}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Justin's card is shown to Harold. Harold's card is shown to Justin. Warren's card is shown to Justin. It is publicly announced that someone picked a red card. It is publicly announced that Warren knows whether Harold picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Warren can now know whether Warren picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Harold","Warren","Justin"],"index":716,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6377430558,"difficulty":0.3622569442}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Naomi's card is shown to Jesse. Tim's card is shown to Tim. Jesse's card is shown to Naomi. Naomi's card is shown to Naomi. It is publicly announced that someone picked a red card. It is publicly announced that Naomi knows whether Jesse picked a red card. It is publicly announced that Tim does not know whether Jesse picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Jesse can now know that Tim picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jesse","Tim","Naomi"],"index":25640,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9868856668,"difficulty":0.0131143332}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Debbie's card is shown to Debbie. Gregory's card is shown to Debbie. Gail's card is shown to Gregory. Debbie's card is shown to Gail. It is publicly announced that someone picked a red card. It is publicly announced that Gail does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentc knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Gail can now know whether Gregory can know that Gail picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Debbie","Gregory","Gail"],"index":18713,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.758664012,"difficulty":1.758664012}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carlo's card is shown to Charles. Charles's card is shown to Carlo. Carlo's card is shown to Carlo. Joe's card is shown to Carlo. Carlo's card is shown to Dollie. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2,4 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Carlo can now know that Carlo picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charles","Carlo","Dollie","Joe"],"index":25771,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9809298515,"difficulty":0.0190701485}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rhonda's card is shown to Billy. Rhonda's card is shown to Rhonda. It is publicly announced that someone picked a red card. It is publicly announced that Billy knows whether or not everyone picked a red card. It is publicly announced that Rhonda knows whether someone picked a red card. It is publicly announced that not everyone picked a red card. It is publicly announced that Billy knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] (Agentb knows whether (~(1|2)))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1|2)) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Rhonda can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Billy","Rhonda"],"index":61420,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994213581,"difficulty":0.0005786419}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Allyson's card is shown to Allyson. Jeffery's card is shown to Allyson. Laura's card is shown to Allen. Allen's card is shown to Jeffery. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Allyson can now know whether Laura can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Allyson","Laura","Allen","Jeffery"],"index":6306,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993748069,"difficulty":0.0006251931}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrea's card is shown to Andrea. Violet's card is shown to Latonia. Latonia's card is shown to Latonia. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Andrea can now know whether Lonnie can know that Lonnie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Andrea","Lonnie","Violet","Latonia"],"index":12363,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9957336783,"difficulty":1.9957336783}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sylvia's card is shown to Sylvia. Amber's card is shown to Sylvia. Sylvia's card is shown to Peter. Sylvia's card is shown to Amber. Peter's card is shown to Amber. It is publicly announced that someone picked a red card. It is publicly announced that Sylvia does not know whether Peter picked a red card. It is publicly announced that Peter knows whether or not everyone picked a red card. It is publicly announced that Amber knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether (1&2&3)) ] Agentc knows that (Agentb knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Amber can now know that Peter can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Sylvia","Peter","Amber"],"index":28745,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994283319,"difficulty":0.0005716681}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Juanita's card is shown to Daryl. Daryl's card is shown to Juanita. Juanita's card is shown to Juanita. It is publicly announced that someone picked a red card. It is publicly announced that Daryl picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 1 ] (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! 1 ] 0","hypothesis":"Daryl can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Daryl","Juanita"],"index":54189,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980159998,"difficulty":0.0019840002}
+{"premise":"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 Stacy. Donald's card is shown to Stacy. Charles's card is shown to Daniel. Donald's card is shown to Donald. It is publicly announced that someone picked a red card. It is publicly announced that Charles picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agenta knows that (Agentc knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Stacy can now know that Donald can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Stacy","Daniel","Donald","Charles"],"index":7388,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6831745505,"difficulty":0.3168254495}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Johnny's card is shown to Johnny. Louise's card is shown to Johnny. Andrew's card is shown to Johnny. Johnny's card is shown to Louise. Andrew's card is shown to Andrew. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Andrew can now know that Louise can know whether Johnny picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Johnny","Louise","Andrew"],"index":63249,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5245844722,"difficulty":0.4754155278}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Deja. Deja's card is shown to Barbara. Barbara's card is shown to Barbara. Matthew's card is shown to Barbara. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Deja can now know whether Barbara picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Deja","Barbara","Matthew"],"index":61951,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8585796356,"difficulty":0.1414203644}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ronald's card is shown to James. Dorothy's card is shown to James. Ronald's card is shown to Ronald. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 VALID? [ ! (1|2|3|4) ] (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Carole can now know that Dorothy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["James","Carole","Ronald","Dorothy"],"index":67345,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976698756,"difficulty":0.0023301244}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laurie's card is shown to Pamela. Pamela's card is shown to Laurie. It is publicly announced that someone picked a red card. It is publicly announced that Laurie knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Laurie can now know that Pamela picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Pamela","Laurie"],"index":26337,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9945376515,"difficulty":0.0054623485}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to Lisa. Jerry's card is shown to Jerry. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] (Agenta knows that (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] 0","hypothesis":"Lisa can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Lisa","Jerry"],"index":26545,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9950107336,"difficulty":0.0049892664}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Virgil's card is shown to Virgil. Frederick's card is shown to Frederick. Philip's card is shown to John. Philip's card is shown to Philip. It is publicly announced that someone picked a red card. It is publicly announced that Philip does not know whether Frederick picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Virgil can now know whether Frederick picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Virgil","Frederick","John","Philip"],"index":36974,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9465634227,"difficulty":0.0534365773}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Patricia's card is shown to George. Donald's card is shown to Donald. Patricia's card is shown to Donald. George's card is shown to Patricia. Patricia's card is shown to Patricia. Jimmy's card is shown to Patricia. George's card is shown to Jimmy. Patricia's card is shown to Jimmy. Jimmy's card is shown to Jimmy. It is publicly announced that someone picked a red card. It is publicly announced that Patricia knows whether Donald picked a red card. It is publicly announced that Patricia knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,3,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] [ ! (Agentc knows whether (1|2|3|4)) ] Agentd knows that (Agenta knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,3,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 2) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Jimmy can now know that George can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["George","Donald","Patricia","Jimmy"],"index":12338,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990586638,"difficulty":0.0009413362}
+{"premise":"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 Michael. Larry's card is shown to Larry. Rick's card is shown to Larry. Michael's card is shown to Rick. Larry's card is shown to Rick. Rick's card is shown to Rick. Larry's card is shown to Randy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Rick can now know whether Larry can know whether Rick picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Michael","Larry","Rick","Randy"],"index":37257,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9984313846,"difficulty":0.0015686154}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Corine's card is shown to Corine. Donald's card is shown to Donald. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] (Agentb knows whether (~(1|2)))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] 0","hypothesis":"Donald can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Corine","Donald"],"index":66840,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993732572,"difficulty":0.0006267428}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Olga's card is shown to Sandra. Gail's card is shown to Sandra. George's card is shown to George. Sandra's card is shown to Gail. Olga's card is shown to Gail. It is publicly announced that someone picked a red card. It is publicly announced that George picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"George can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Sandra","George","Olga","Gail"],"index":54801,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994242191,"difficulty":0.0005757809}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Scott. Scott's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that Scott knows whether someone picked a red card. It is publicly announced that John knows whether John picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! (Agentb knows whether 2) ] (Agentb knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"John can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Scott","John"],"index":51896,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994489551,"difficulty":0.0005510449}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rene's card is shown to Anna. Rene's card is shown to Clint. Robert's card is shown to Clint. Anna's card is shown to Rene. It is publicly announced that someone picked a red card. It is publicly announced that Anna knows whether someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0","hypothesis":"Clint can now know whether Rene picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Anna","Clint","Rene","Robert"],"index":38540,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.6265354753,"difficulty":1.6265354753}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amanda's card is shown to John. Amanda's card is shown to Douglas. John's card is shown to Amanda. Amanda's card is shown to Amanda. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3|4) ] (Agentb knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Douglas can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["John","Douglas","Amanda","Kum"],"index":42290,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989301562,"difficulty":0.0010698438}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jonathan's card is shown to Jonathan. Elva's card is shown to Elva. Diane's card is shown to Diane. It is publicly announced that someone picked a red card. It is publicly announced that Diane does not know whether Jonathan picked a red card. It is publicly announced that Jonathan does not know whether Elva picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Jonathan can now know whether Jonathan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jonathan","Elva","Diane"],"index":21438,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8269267678,"difficulty":0.1730732322}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jane's card is shown to Jane. Jane's card is shown to Calvin. Jane's card is shown to Amy. Calvin's card is shown to Amy. It is publicly announced that someone picked a red card. It is publicly announced that Jane does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Jane can now know whether Calvin picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jane","Calvin","Amy"],"index":42850,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7167154551,"difficulty":0.2832845449}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rosa's card is shown to Rosa. Valerie's card is shown to Coletta. Rosa's card is shown to Coletta. It is publicly announced that someone picked a red card. It is publicly announced that Valerie knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agenta knows that (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Valerie can now know that Rosa can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Valerie","Rosa","Coletta"],"index":32252,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.5146698356,"difficulty":0.4853301644}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Wayne's card is shown to Troy. Richard's card is shown to Richard. Wayne's card is shown to Richard. Wayne's card is shown to Wayne. Richard's card is shown to Thomas. Wayne's card is shown to Thomas. It is publicly announced that someone picked a red card. It is publicly announced that Troy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Troy can now know whether Thomas picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Troy","Richard","Wayne","Thomas"],"index":30240,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9008330703,"difficulty":0.0991669297}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lawerence's card is shown to Delmar. Dawn's card is shown to Darrell. Lawerence's card is shown to Dawn. Dawn's card is shown to Dawn. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Delmar can now know that Delmar picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Delmar","Lawerence","Darrell","Dawn"],"index":11135,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9939597845,"difficulty":0.0060402155}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Larry's card is shown to Larry. Gail's card is shown to Brenda. Brenda's card is shown to Gail. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Brenda can now know that Larry picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Larry","Brenda","Gail"],"index":16694,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9980576634,"difficulty":0.0019423366}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marlys's card is shown to Marlys. Lori's card is shown to Irene. Irene's card is shown to Lori. It is publicly announced that someone picked a red card. It is publicly announced that Sylvia does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Sylvia can now know that Marlys picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Marlys","Sylvia","Irene","Lori"],"index":36930,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9171848297,"difficulty":0.0828151703}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kevin's card is shown to Gloria. Abby's card is shown to Gloria. Abby's card is shown to Abby. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 VALID? [ ! (1|2|3|4) ] (Agenta knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Kevin can now know that Abby picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Kevin","Gloria","Reuben","Abby"],"index":53912,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9929324389,"difficulty":0.0070675611}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorothy's card is shown to Dorothy. Dorothy's card is shown to Glen. Glen's card is shown to Glen. Dorothy's card is shown to Sallie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Sallie can now know that Dorothy can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dorothy","Glen","Sallie"],"index":64583,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993646741,"difficulty":0.0006353259}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Phyllis. Phyllis's card is shown to James. James's card is shown to Ruben. Ruben's card is shown to Ruben. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"James can now know whether Phyllis can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Phyllis","James","Ruben"],"index":9788,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9601935744,"difficulty":0.0398064256}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mary's card is shown to Mary. Susan's card is shown to Derick. Mary's card is shown to Derick. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Susan can now know whether Mary can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Susan","Mary","Derick","Pamala"],"index":13744,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9992567897,"difficulty":0.0007432103}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carylon's card is shown to Earl. Courtney's card is shown to Earl. Earl's card is shown to Carylon. Tammy's card is shown to Carylon. Earl's card is shown to Tammy. Carylon's card is shown to Tammy. Tammy's card is shown to Tammy. Earl's card is shown to Courtney. Courtney's card is shown to Courtney. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,3 Agentc:1,2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agentd knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,3 Agentc:1,2,3 Agentd:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Carylon can now know that Courtney can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Earl","Carylon","Tammy","Courtney"],"index":58610,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993396401,"difficulty":0.0006603599}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Theodore's card is shown to Jessica. Jessica's card is shown to Wayne. Wayne's card is shown to Wayne. Wayne's card is shown to Theodore. Wayne's card is shown to Tammy. Theodore's card is shown to Tammy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,2 Agentc:2 Agentd:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jessica can now know whether Tammy can know whether Tammy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jessica","Wayne","Theodore","Tammy"],"index":7203,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9797216654,"difficulty":0.0202783346}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Karen's card is shown to Karen. Teresa's card is shown to Susan. Karen's card is shown to Teresa. It is publicly announced that someone picked a red card. It is publicly announced that Karen picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 1 ] (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:1 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Karen can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Karen","Susan","Teresa"],"index":24393,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994714856,"difficulty":0.0005285144}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Adele's card is shown to Sharon. Jose's card is shown to Sharon. Adele's card is shown to Jose. Sharon's card is shown to Jose. Adele's card is shown to Ronald. Sharon's card is shown to Ronald. It is publicly announced that someone picked a red card. It is publicly announced that Jose does not know whether Jose picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] Agentb knows that (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Sharon can now know that Adele can know whether Ronald picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Adele","Sharon","Jose","Ronald"],"index":56233,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9929032922,"difficulty":0.0070967078}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Adam's card is shown to Adam. John's card is shown to John. John's card is shown to Francis. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Francis can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Adam","John","Francis"],"index":47128,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990341663,"difficulty":0.0009658337}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nathan's card is shown to Elisabeth. Elisabeth's card is shown to Edmond. Elisabeth's card is shown to Angela. Elisabeth's card is shown to Nathan. Nathan's card is shown to Nathan. It is publicly announced that someone picked a red card. It is publicly announced that Elisabeth does not know whether Angela picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agenta knows that (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Elisabeth can now know that Edmond can know whether Angela picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Elisabeth","Edmond","Angela","Nathan"],"index":32327,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9859899282,"difficulty":0.0140100718}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ryan's card is shown to Ryan. Ryan's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Ryan can now know that Ryan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Ryan","John"],"index":15443,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9410187602,"difficulty":0.0589812398}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sarah's card is shown to Sarah. Erma's card is shown to Sarah. Luis's card is shown to Sarah. Sarah's card is shown to Erma. Norma's card is shown to Erma. Sarah's card is shown to Luis. Norma's card is shown to Norma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1,4 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentc knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1,4 Agentc:1 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Norma can now know whether Luis can know that Luis picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sarah","Erma","Luis","Norma"],"index":26368,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9218853116,"difficulty":1.9218853116}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Susan's card is shown to Susan. Susan's card is shown to Marilyn. Marilyn's card is shown to Bridget. Bridget's card is shown to Lizzie. Lizzie's card is shown to Lizzie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] (Agentd knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 Agentd:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Lizzie can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Susan","Marilyn","Bridget","Lizzie"],"index":47267,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.998938024,"difficulty":0.001061976}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shirley's card is shown to Marian. Tara's card is shown to Shirley. Tara's card is shown to Tara. It is publicly announced that someone picked a red card. It is publicly announced that Tara knows whether someone picked a red card. It is publicly announced that Shirley does not know whether Marian picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agentc knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Shirley can now know whether Tara can know whether Marian picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Marian","Shirley","Tara"],"index":48720,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9986692667,"difficulty":0.0013307333}
+{"premise":"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. Patrick's card is shown to Jerry. Patrick's card is shown to Shane. It is publicly announced that someone picked a red card. It is publicly announced that Patrick knows whether Patrick picked a red card. It is publicly announced that Patrick knows whether Patrick picked a red card. It is publicly announced that Patrick does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentc knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Shane can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Patrick","Jerry","Shane"],"index":14250,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994489551,"difficulty":0.0005510449}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Christa. Jeffrey's card is shown to Julia. Christa's card is shown to Michael. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jeffrey can now know that Julia can know that Jeffrey picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jeffrey","Christa","Julia","Michael"],"index":43006,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982523322,"difficulty":0.0017476678}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Norman's card is shown to Dale. Dale's card is shown to Warren. Norman's card is shown to Warren. Dale's card is shown to Norman. Norman's card is shown to Norman. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Warren can now know whether Norman can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dale","Warren","Norman"],"index":11087,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993890524,"difficulty":0.0006109476}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dennis's card is shown to Dennis. Janet's card is shown to Janet. It is publicly announced that someone picked a red card. It is publicly announced that Charlotte does not know whether Carmen picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Charlotte can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Dennis","Charlotte","Carmen","Janet"],"index":10415,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994609952,"difficulty":0.0005390048}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mattie's card is shown to Mattie. Micah's card is shown to Tracy. Mattie's card is shown to Tracy. Tracy's card is shown to Tracy. It is publicly announced that someone picked a red card. It is publicly announced that Micah does not know whether or not everyone picked a red card. It is publicly announced that Tracy picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! 3 ] Agenta knows whether (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! 3 ] 0","hypothesis":"Micah can now know whether Mattie can know that Mattie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Micah","Mattie","Tracy"],"index":57828,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9537810087,"difficulty":0.0462189913}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Julius's card is shown to Gerald. Margaret's card is shown to Gerald. Gerald's card is shown to Julius. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1 VALID? [ ! (1|2|3|4) ] (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mildred can now know that Margaret picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Gerald","Mildred","Julius","Margaret"],"index":55708,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983469248,"difficulty":0.0016530752}
+{"premise":"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. Marie's card is shown to Robert. Robert's card is shown to Marie. Marie's card is shown to Marie. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Marie can now know that Marie picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Robert","Marie"],"index":64716,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.95950526,"difficulty":0.04049474}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dale's card is shown to Dale. Kyle's card is shown to Kyle. Mary's card is shown to Mary. It is publicly announced that someone picked a red card. It is publicly announced that Mary does not know whether Dale picked a red card. It is publicly announced that Kyle picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(2) ] Agentc knows that (Agenta knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(2) ] 0","hypothesis":"Mary can now know that Dale can know that Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Dale","Kyle","Mary","Andrew"],"index":51046,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9745000005,"difficulty":0.0254999995}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shirley's card is shown to John. Carol's card is shown to Eileen. Carol's card is shown to Shirley. Shirley's card is shown to Shirley. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"John can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["John","Eileen","Carol","Shirley"],"index":45590,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9933258295,"difficulty":0.0066741705}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brett's card is shown to Brenda. Marty's card is shown to Brenda. Brett's card is shown to David. Brenda's card is shown to Brett. David's card is shown to Brett. It is publicly announced that someone picked a red card. It is publicly announced that David knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agentb knows whether (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"David can now know whether Brett can know whether Brett picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Brenda","David","Brett","Marty"],"index":11381,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8841666579,"difficulty":0.1158333421}
+{"premise":"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. Joy's card is shown to Richard. Jeff's card is shown to Jeff. Jeff's card is shown to Joy. It is publicly announced that someone picked a red card. It is publicly announced that Jeff does not know whether Richard picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Jeff can now know that Richard can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Richard","Jeff","Joy"],"index":19585,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990649819,"difficulty":0.0009350181}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Thelma's card is shown to Thelma. Samuel's card is shown to Thelma. Thelma's card is shown to Edward. Edward's card is shown to Edward. Samuel's card is shown to Edward. Thelma's card is shown to Samuel. Samuel's card is shown to Samuel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:1,2,3 Agentc:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Edward can now know whether Samuel can know that Thelma picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Thelma","Edward","Samuel"],"index":64391,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.93384552,"difficulty":0.06615448}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Curtis's card is shown to Curtis. Maryanne's card is shown to Curtis. Maryanne's card is shown to Maryanne. Curtis's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Curtis can now know that Curtis picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Curtis","Maryanne","Jennifer"],"index":5813,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9825125933,"difficulty":0.0174874067}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Danna's card is shown to Mellissa. Genevieve's card is shown to Mellissa. Mellissa's card is shown to Tabitha. It is publicly announced that someone picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Genevieve can now know that Danna can know whether Genevieve picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Danna","Genevieve","Mellissa","Tabitha"],"index":60760,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9162783623,"difficulty":0.0837216377}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to Anthony. Edward's card is shown to Anthony. Anthony's card is shown to Edward. 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.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] 0","hypothesis":"Edward can now know whether Anthony picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Anthony","Edward"],"index":40812,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9545019865,"difficulty":0.0454980135}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Harlan's card is shown to Harlan. Joseph's card is shown to Harlan. Harlan's card is shown to Joseph. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Joseph can now know that Harlan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Harlan","Joseph","Iluminada"],"index":45706,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9944161177,"difficulty":0.0055838823}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sterling's card is shown to Sterling. Sterling's card is shown to Susan. Sterling's card is shown to Kenneth. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agentc knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Susan can now know whether Kenneth can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Sterling","Susan","Kenneth"],"index":26534,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9930226207,"difficulty":1.9930226207}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Martha's card is shown to Martha. Clara's card is shown to Clara. Martha's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that David does not know whether David picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] Agentc knows whether (Agentb knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"David can now know whether Clara can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Martha","Clara","David"],"index":18255,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994118214,"difficulty":0.0005881786}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. James's card is shown to James. David's card is shown to John. John's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that James picked a red card. It is publicly announced that John knows whether John picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (Agentc knows whether 3) ] Agentc knows that (Agentb knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:1,3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"John can now know that James can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["David","James","John"],"index":1748,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.99856323,"difficulty":0.00143677}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Paul's card is shown to Phillip. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1|2) ] (Agenta knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (1|2) ] 0","hypothesis":"Paul can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Paul","Phillip"],"index":40398,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994561076,"difficulty":0.0005438924}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Elisa's card is shown to Mary. Dorla's card is shown to Mary. Mary's card is shown to Elisa. Mary's card is shown to Dorla. It is publicly announced that someone picked a red card. It is publicly announced that Elisa does not know whether Elisa picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] (Agentc knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Dorla can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Mary","Elisa","Dorla"],"index":22966,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9938440323,"difficulty":0.0061559677}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jason's card is shown to Jason. Elijah's card is shown to Jason. Jason's card is shown to Elijah. It is publicly announced that someone picked a red card. It is publicly announced that Elijah does not know whether Elijah picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] Agentb knows whether (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Elijah can now know whether Jason can know whether Elijah picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jason","Elijah"],"index":53866,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9981350899,"difficulty":0.0018649101}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dawn's card is shown to Dawn. Lupe's card is shown to Aaron. Aaron's card is shown to Lupe. Lupe's card is shown to Lupe. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:4 Agentc:3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Aaron can now know that Jeremy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jeremy","Dawn","Aaron","Lupe"],"index":59670,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983474016,"difficulty":0.0016525984}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Francisco's card is shown to Francisco. Jose's card is shown to Francisco. Holly's card is shown to Francisco. Jose's card is shown to Jose. Holly's card is shown to Holly. It is publicly announced that someone picked a red card. It is publicly announced that Jose does not know whether Holly picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"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","hypothesis":"Francisco can now know that Jose can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Francisco","Jose","Holly"],"index":47669,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990687966,"difficulty":0.0009312034}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jason's card is shown to Mariano. Mariano's card is shown to Stacey. Mariano's card is shown to Nicole. Mariano's card is shown to Jason. Jason's card is shown to Jason. It is publicly announced that someone picked a red card. It is publicly announced that Mariano does not know whether Nicole picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agenta knows that (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Mariano can now know that Jason can know whether Mariano picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Mariano","Stacey","Nicole","Jason"],"index":2128,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8318855166,"difficulty":0.1681144834}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Daniel's card is shown to Daniel. Crystal's card is shown to Daniel. Crystal's card is shown to Crystal. It is publicly announced that someone picked a red card. It is publicly announced that Crystal picked a red card. It is publicly announced that Crystal does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2)) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Daniel can now know whether Crystal picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Daniel","Crystal"],"index":40745,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9747237563,"difficulty":0.0252762437}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Toni's card is shown to Toni. Toni's card is shown to Dean. Dean's card is shown to Anthony. Anthony's card is shown to Anthony. Anthony's card is shown to Nicholas. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Toni can now know that Dean can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Toni","Dean","Anthony","Nicholas"],"index":11164,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9916702509,"difficulty":0.0083297491}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Amy. Mary's card is shown to Amy. Amy's card is shown to Patricia. Patricia's card is shown to Patricia. Sandra's card is shown to Sandra. Mary's card is shown to Sandra. Amy's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:3,4 Agentd:1 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows that (1|2|3|4))","n_announcements":0,"pbcheck":"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","hypothesis":"Sandra can now know whether Amy can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Amy","Patricia","Sandra","Mary"],"index":43390,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993964434,"difficulty":0.0006035566}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Regina's card is shown to Regina. Regina's card is shown to Michael. Michael's card is shown to Yolanda. Yolanda's card is shown to Yolanda. Yolanda's card is shown to Calvin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agentd knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:1 Agentc:2,3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know whether Calvin can know whether Regina picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Regina","Michael","Yolanda","Calvin"],"index":9995,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9989920259,"difficulty":0.0010079741}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ted's card is shown to Ted. Deborah's card is shown to Deborah. Deborah's card is shown to Claudio. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Deborah can now know whether Ted can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ted","Deborah","Claudio"],"index":9244,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994145632,"difficulty":0.0005854368}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lorene's card is shown to Lorene. Kathleen's card is shown to Kathleen. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Lorene can now know that Lorene picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Lorene","Kathleen"],"index":27073,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9502896667,"difficulty":0.0497103333}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Arlene's card is shown to Thomas. Thomas's card is shown to Linda. Arlene's card is shown to Linda. Linda's card is shown to Arlene. Arlene's card is shown to Arlene. It is publicly announced that someone picked a red card. It is publicly announced that Linda knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentc knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Arlene can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Thomas","Linda","Arlene"],"index":14898,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994126558,"difficulty":0.0005873442}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Desiree's card is shown to Desiree. Carol's card is shown to Desiree. Wayne's card is shown to David. David's card is shown to Wayne. Carol's card is shown to Carol. It is publicly announced that someone picked a red card. It is publicly announced that Desiree does not know whether Wayne picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentb knows whether (Agentd knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:2 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"David can now know whether Carol can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Desiree","David","Wayne","Carol"],"index":17465,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993749261,"difficulty":0.0006250739}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Joseph. Lewis's card is shown to Joseph. Joseph's card is shown to Lewis. Lewis's card is shown to Lewis. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that (1&2))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] 0","hypothesis":"Lewis can now know whether Joseph can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Joseph","Lewis"],"index":12534,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9821003079,"difficulty":0.0178996921}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Howard's card is shown to Howard. Howard's card is shown to Deangelo. It is publicly announced that someone picked a red card. It is publicly announced that Ivy does not know whether or not everyone picked a red card. It is publicly announced that Ivy does not know whether or not everyone picked a red card. It is publicly announced that Ivy knows whether Howard picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 1) ] (Agentb knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Ivy can now know that Deangelo picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Howard","Ivy","Deangelo"],"index":30284,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9296978712,"difficulty":0.0703021288}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Richard's card is shown to Richard. Gerald's card is shown to Gerald. Robert's card is shown to Robert. It is publicly announced that someone picked a red card. It is publicly announced that Ruth does not know whether Richard picked a red card. It is publicly announced that Ruth does not know whether Ruth picked a red card. It is publicly announced that Richard does not know whether Ruth picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Richard can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Richard","Gerald","Ruth","Robert"],"index":1625,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9828315973,"difficulty":0.0171684027}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to David. Shawn's card is shown to David. David's card is shown to Shawn. David's card is shown to Guy. It is publicly announced that someone picked a red card. It is publicly announced that Guy knows whether David picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 1) ] 0","hypothesis":"David can now know that David picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["David","Shawn","Guy","Gracia"],"index":2144,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9640903473,"difficulty":0.0359096527}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Wallace's card is shown to Franklin. Wallace's card is shown to Wallace. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] (Agenta knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Franklin can now know that Wallace picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Franklin","Wallace","Jerry"],"index":65878,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9894683957,"difficulty":0.0105316043}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Verna's card is shown to Jayne. Jayne's card is shown to Dave. Jayne's card is shown to Mary. Jayne's card is shown to Verna. Verna's card is shown to Verna. It is publicly announced that someone picked a red card. It is publicly announced that Jayne does not know whether Mary picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentb knows whether (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Dave can now know whether Verna can know that Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jayne","Dave","Mary","Verna"],"index":12719,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8339009285,"difficulty":0.1660990715}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tracy's card is shown to Tracy. Evan's card is shown to Evan. It is publicly announced that someone picked a red card. It is publicly announced that Lloyd knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] (Agentb knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Lloyd can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Tracy","Lloyd","Evan"],"index":50364,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9986404777,"difficulty":0.0013595223}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jan's card is shown to Jan. Jan's card is shown to Jill. Jill's card is shown to Jill. Jan's card is shown to Nicholas. Jill's card is shown to Nicholas. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jan can now know that Nicholas picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jan","Jill","Nicholas"],"index":4091,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982548356,"difficulty":0.0017451644}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Agnes's card is shown to Mary. Agnes's card is shown to Agnes. Mary's card is shown to Floyd. It is publicly announced that someone picked a red card. It is publicly announced that Agnes does not know whether Floyd picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Floyd can now know that Mary can know that Floyd picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mary","Agnes","Floyd"],"index":43626,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9977413416,"difficulty":0.0022586584}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ann's card is shown to Chelsea. James's card is shown to Ann. Chelsea's card is shown to James. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:1 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ann can now know whether Edward can know whether Edward picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Chelsea","Edward","Ann","James"],"index":18598,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9172495008,"difficulty":1.9172495008}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kimberly's card is shown to Kimberly. Claudia's card is shown to Kimberly. Claudia's card is shown to Claudia. Thomas's card is shown to Claudia. Kimberly's card is shown to Angelique. Claudia's card is shown to Angelique. Kimberly'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 Kimberly knows whether Kimberly picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2,4 Agentc:1,2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] Agentd knows whether (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2,4 Agentc:1,2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Thomas can now know whether Claudia can know whether Angelique picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Kimberly","Claudia","Angelique","Thomas"],"index":21268,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9981941581,"difficulty":0.0018058419}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Todd's card is shown to Constance. Constance's card is shown to Todd. Beth's card is shown to Yee. Todd's card is shown to Beth. Beth's card is shown to Beth. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:4 Agentd:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Beth can now know that Yee can know that Todd picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Constance","Todd","Yee","Beth"],"index":29440,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9978910089,"difficulty":0.0021089911}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ka's card is shown to Ka. Richard's card is shown to Ka. Russell's card is shown to Richard. Ka's card is shown to Russell. Richard's card is shown to Russell. Russell's card is shown to Russell. It is publicly announced that someone picked a red card. It is publicly announced that Ka does not know whether Terrell picked a red card. It is publicly announced that Richard knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agenta knows whether (Agentb knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:1,2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Ka can now know whether Richard can know whether Ka picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ka","Richard","Terrell","Russell"],"index":62158,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9985381365,"difficulty":0.0014618635}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jordan's card is shown to Pamela. Pamela's card is shown to Clyde. Catherine's card is shown to Clyde. Pamela's card is shown to Catherine. It is publicly announced that someone picked a red card. It is publicly announced that Jordan knows whether Pamela picked a red card. It is publicly announced that Clyde does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Pamela can now know whether Clyde can know whether Catherine picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Pamela","Jordan","Clyde","Catherine"],"index":64742,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9988933206,"difficulty":0.0011066794}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Diane's card is shown to Edward. Edward's card is shown to Roy. Roy's card is shown to Roy. Juanita's card is shown to Roy. Roy's card is shown to Juanita. It is publicly announced that someone picked a red card. It is publicly announced that Roy does not know whether Edward picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] Agenta knows that (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Edward can now know that Diane can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Edward","Diane","Roy","Juanita"],"index":4352,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993857145,"difficulty":0.0006142855}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jan's card is shown to Jan. William's card is shown to Jan. James's card is shown to James. Ferdinand's card is shown to James. James's card is shown to Ferdinand. Ferdinand's card is shown to Ferdinand. Jan's card is shown to William. James's card is shown to William. It is publicly announced that someone picked a red card. It is publicly announced that Ferdinand does not know whether William picked a red card. It is publicly announced that James picked a black card. It is publicly announced that Ferdinand picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2,3 Agentc:2,3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(2) ] [ ! 3 ] Agentd knows that (Agentc knows whether (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2,3 Agentc:2,3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(2) ] [ ! 3 ] 0","hypothesis":"William can now know that Ferdinand can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jan","James","Ferdinand","William"],"index":4986,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8542081118,"difficulty":0.1457918882}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brian's card is shown to Vivian. Brian's card is shown to Brian. Julie's card is shown to Julie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Vivian can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Vivian","Brian","Julie"],"index":59184,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993711114,"difficulty":0.0006288886}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Virginia's card is shown to Virginia. Kenya's card is shown to Lisa. Lisa's card is shown to Kenya. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentc knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Virginia can now know whether Kenya can know that Kenya picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Virginia","Lisa","Kenya"],"index":29598,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7391000986,"difficulty":0.2608999014}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Linda's card is shown to Robert. Linda's card is shown to Francesca. Robert's card is shown to Linda. Linda's card is shown to Linda. Linda's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agentb knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:1,3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Francesca can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Robert","Francesca","Linda","Patricia"],"index":18753,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9969013929,"difficulty":0.0030986071}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Curtis's card is shown to James. Willie's card is shown to Willie. Willie's card is shown to Curtis. It is publicly announced that someone picked a red card. It is publicly announced that Curtis does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"James can now know whether Willie can know that Curtis picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["James","Willie","Curtis"],"index":4675,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9184131026,"difficulty":0.0815868974}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marie's card is shown to Aracely. Jose's card is shown to Jose. Marie's card is shown to Jose. Marie's card is shown to Marie. Jose's card is shown to Branden. Marie's card is shown to Branden. It is publicly announced that someone picked a red card. It is publicly announced that Aracely does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Marie can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Aracely","Jose","Marie","Branden"],"index":6022,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.999008894,"difficulty":0.000991106}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Crystal's card is shown to Crystal. Lindsey's card is shown to Crystal. Lindsey's card is shown to Lindsey. Jennifer's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentc knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Crystal can now know that Jennifer can know that Jennifer picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Crystal","Lindsey","Jennifer"],"index":51906,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9877943993,"difficulty":0.0122056007}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Vickie's card is shown to Vickie. Vickie's card is shown to Thomas. Thomas's card is shown to William. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] (Agentc knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Vickie","Thomas","William"],"index":56581,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9964244962,"difficulty":0.0035755038}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Shirley's card is shown to Shirley. Candice's card is shown to Shirley. Julie's card is shown to Julie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Shirley can now know whether Julie can know whether Candice picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Shirley","Julie","Sylvia","Candice"],"index":48302,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9985639453,"difficulty":0.0014360547}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Juan's card is shown to Stella. Marvin's card is shown to Stella. Stella's card is shown to Juan. Elizabeth's card is shown to Juan. Juan's card is shown to Marvin. Elizabeth's card is shown to Marvin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:1,3 Agentc:2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Juan can now know that Stella can know whether Marvin picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Stella","Juan","Elizabeth","Marvin"],"index":34098,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9967201352,"difficulty":1.9967201352}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Beverly's card is shown to Tammy. Beverly's card is shown to Jose. William's card is shown to William. Jose's card is shown to Beverly. William's card is shown to Beverly. It is publicly announced that someone picked a red card. It is publicly announced that William does not know whether Jose picked a red card. It is publicly announced that Tammy knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentd knows whether (Agentb knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:4 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Beverly can now know whether Jose can know whether Tammy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tammy","Jose","William","Beverly"],"index":6469,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9988177419,"difficulty":0.0011822581}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Tammy's card is shown to Tammy. Nicholas's card is shown to Tammy. Tammy's card is shown to Ricky. Erica's card is shown to Ricky. Nicholas's card is shown to Ricky. Erica's card is shown to Erica. Nicholas's card is shown to Erica. Tammy's card is shown to Nicholas. Nicholas's card is shown to Nicholas. It is publicly announced that someone picked a red card. It is publicly announced that Ricky knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,3,4 Agentc:3,4 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,3,4 Agentc:3,4 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Tammy can now know that Erica picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tammy","Ricky","Erica","Nicholas"],"index":20974,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9971812963,"difficulty":0.0028187037}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donald's card is shown to Donald. Edward's card is shown to Donald. Leona's card is shown to Edward. It is publicly announced that someone picked a red card. It is publicly announced that Edward picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(3) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Leona can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Leona","Donald","Edward"],"index":62752,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990484118,"difficulty":0.0009515882}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Scott's card is shown to Mark. Toni's card is shown to Mark. Scott's card is shown to Scott. James's card is shown to Toni. Mark's card is shown to Toni. Scott's card is shown to Toni. It is publicly announced that someone picked a red card. It is publicly announced that James picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agentb knows whether (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Mark can now know whether James can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["James","Mark","Scott","Toni"],"index":51110,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993003607,"difficulty":0.0006996393}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Charles's card is shown to William. Charles's card is shown to Ruth. Ruth's card is shown to Ruth. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] Agenta knows that (Agentb knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know that Charles can know that Charles picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["William","Charles","Ruth"],"index":27830,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9974179268,"difficulty":0.0025820732}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dan's card is shown to Bertha. Ivonne's card is shown to Dan. Ivonne's card is shown to Ronald. Dan's card is shown to Ronald. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ivonne can now know whether Dan can know that Dan picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ivonne","Bertha","Dan","Ronald"],"index":66462,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9340920448,"difficulty":0.0659079552}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rebecca's card is shown to Dorothy. Kelsey's card is shown to Kelsey. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Kelsey can now know whether Dorothy can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dorothy","Kelsey","Rebecca"],"index":54953,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9991932511,"difficulty":0.0008067489}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gwendolyn's card is shown to Gwendolyn. Shawn's card is shown to Tammy. Gwendolyn's card is shown to Tammy. It is publicly announced that someone picked a red card. It is publicly announced that Shawn knows whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agenta knows whether (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Shawn can now know whether Gwendolyn can know whether Tammy picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Shawn","Gwendolyn","Tammy"],"index":35221,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9987817407,"difficulty":1.9987817407}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frances's card is shown to Joshua. Frances's card is shown to Paul. Paul's card is shown to Paul. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Frances can now know whether Joshua can know that Paul picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Joshua","Frances","Paul"],"index":37194,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9543628693,"difficulty":0.0456371307}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Neil's card is shown to Neil. Todd's card is shown to Neil. Harry's card is shown to Todd. Harry's card is shown to Harry. Andrew's card is shown to Andrew. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Neil can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Neil","Todd","Harry","Andrew"],"index":40205,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989475608,"difficulty":0.0010524392}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dean's card is shown to Dean. Angel's card is shown to Dean. Jane's card is shown to Jane. Dean's card is shown to Angel. Jane's card is shown to Angel. It is publicly announced that someone picked a red card. It is publicly announced that Angel does not know whether Angel picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] Agenta knows that (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Dean can now know that Jane can know whether Angel picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Dean","Jane","Angel"],"index":63164,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.8178350925,"difficulty":1.8178350925}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Crystal's card is shown to Robert. Robert's card is shown to Crystal. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Robert can now know whether Raymond can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Robert","Raymond","Crystal"],"index":6411,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993591905,"difficulty":0.0006408095}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Vernell's card is shown to Vernell. Ryan's card is shown to Vernell. Alice's card is shown to Vernell. Vernell's card is shown to Don. Ryan's card is shown to Don. Alice's card is shown to Ryan. Vernell's card is shown to Alice. Ryan's card is shown to Alice. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:1,3 Agentc:4 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Vernell can now know that Don can know that Alice picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Vernell","Don","Ryan","Alice"],"index":32814,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9968984127,"difficulty":0.0031015873}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Curtis's card is shown to Curtis. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (1&2) ] (Agenta knows whether (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Curtis can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Curtis","Betty"],"index":34453,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994679093,"difficulty":0.0005320907}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Donna. Donna's card is shown to Maryann. Michael's card is shown to Maryann. Donna's card is shown to Dorothy. It is publicly announced that someone picked a red card. It is publicly announced that Dorothy picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! 4 ] (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Maryann can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Donna","Maryann","Michael","Dorothy"],"index":34278,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994485974,"difficulty":0.0005514026}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Anthony's card is shown to William. William's card is shown to Anthony. William's card is shown to Mary. Anthony's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"William can now know whether Mary can know that Anthony picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["William","Anthony","Mary"],"index":48704,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9599137902,"difficulty":0.0400862098}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Robert's card is shown to Robert. Virginia's card is shown to Robert. Nicole's card is shown to Virginia. Robert's card is shown to Nicole. Nicole's card is shown to Nicole. Mary's card is shown to Nicole. Nicole's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1,3,4 Agentd:3 VALID? [ ! (1|2|3|4) ] Agentd knows whether (Agentb knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:1,3,4 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mary can now know whether Virginia can know that Mary picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","Virginia","Nicole","Mary"],"index":62202,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8070052862,"difficulty":0.1929947138}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mildred's card is shown to Felipe. Felipe's card is shown to Mildred. Mildred's card is shown to Mildred. Mildred's card is shown to Paul. Paul's card is shown to Paul. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Felipe can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Felipe","Mildred","Paul"],"index":47431,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.99935323,"difficulty":0.00064677}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hazel's card is shown to Hazel. Kenneth's card is shown to Hazel. Kenneth's card is shown to Kenneth. Hazel's card is shown to Cindy. Kenneth's card is shown to Cindy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] (Agenta knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Hazel can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Hazel","Kenneth","Cindy"],"index":43811,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990108013,"difficulty":0.0009891987}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Renita's card is shown to Renita. Mary's card is shown to Renita. Mary's card is shown to Mary. Michael's card is shown to Mary. Jane's card is shown to Michael. Mary's card is shown to Jane. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agenta knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:4 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Michael can now know whether Renita can know whether Jane picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Renita","Mary","Michael","Jane"],"index":44634,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9987158775,"difficulty":0.0012841225}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leslie's card is shown to Leslie. Lawrence's card is shown to Leslie. Lawrence's card is shown to Lawrence. Leslie's card is shown to Bonnie. Bonnie's card is shown to Bonnie. Lawrence's card is shown to Kathy. Kathy's card is shown to Kathy. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Lawrence picked a red card. It is publicly announced that Lawrence knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agentb knows that (Agenta knows that (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1,3 Agentd:2,4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Lawrence can now know that Leslie can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Leslie","Lawrence","Bonnie","Kathy"],"index":14046,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994470477,"difficulty":0.0005529523}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Caroline's card is shown to William. Heather's card is shown to Rick. Rick's card is shown to Caroline. Rick's card is shown to Heather. Heather's card is shown to Heather. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:4 Agentc:2 Agentd:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Caroline can now know that Heather picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["William","Rick","Caroline","Heather"],"index":12559,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9947001934,"difficulty":0.0052998066}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amy's card is shown to Amy. Randall's card is shown to Amy. Joan's card is shown to Amy. Amy's card is shown to Randall. Joan's card is shown to Randall. Elizabeth's card is shown to Randall. Amy's card is shown to Elizabeth. Randall's card is shown to Elizabeth. Joan's card is shown to Elizabeth. It is publicly announced that someone picked a red card. It is publicly announced that Randall does not know whether Randall picked a red card. It is publicly announced that Elizabeth picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1,3,4 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! 4 ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1,3,4 Agentc:1,2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 2) ] [ ! 4 ] 0","hypothesis":"Amy can now know whether Amy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Amy","Randall","Joan","Elizabeth"],"index":7893,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9194731116,"difficulty":0.0805268884}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Keith's card is shown to Erin. Keith's card is shown to Keith. It is publicly announced that someone picked a red card. It is publicly announced that Erin does not know whether or not everyone picked a red card. It is publicly announced that Erin does not know whether Erin picked a red card. It is publicly announced that Erin does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows that (1|2))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Erin can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Erin","Keith"],"index":45040,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994592071,"difficulty":0.0005407929}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to Lisa. Ayana's card is shown to Lisa. Isaias's card is shown to Ayana. Ayana's card is shown to Isaias. Isaias's card is shown to Isaias. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2,3 VALID? [ ! (1|2|3) ] Agentc knows whether (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Isaias can now know whether Lisa can know that Lisa picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Lisa","Ayana","Isaias"],"index":41271,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.7676653862,"difficulty":0.2323346138}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nicole's card is shown to Lee. Ella's card is shown to Ella. Nicole's card is shown to Ella. Lee's card is shown to Nicole. Ella's card is shown to Nicole. Nicole's card is shown to Nicole. Ella's card is shown to Don. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentb knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:2,3 Agentc:1,2,3 Agentd:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Lee can now know that Ella can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Lee","Ella","Nicole","Don"],"index":24497,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990599751,"difficulty":0.0009400249}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). William's card is shown to William. John's card is shown to William. William's card is shown to James. John's card is shown to James. James's card is shown to Gina. It is publicly announced that someone picked a red card. It is publicly announced that John does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:1,2 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"James can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["William","John","James","Gina"],"index":58497,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.999045074,"difficulty":0.000954926}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nadine's card is shown to Joseph. Jennifer's card is shown to Michael. Jennifer's card is shown to Jennifer. Michael's card is shown to Nadine. Jennifer's card is shown to Nadine. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether Joseph picked a red card. It is publicly announced that Nadine does not know whether Nadine picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentd knows whether 4) ] Agentd knows whether (Agenta knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:3 Agentc:3 Agentd:2,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 1) ] [ ! ~(Agentd knows whether 4) ] 0","hypothesis":"Nadine can now know whether Joseph can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joseph","Michael","Jennifer","Nadine"],"index":23450,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994282126,"difficulty":0.0005717874}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to James. Rosie's card is shown to James. James's card is shown to Heather. It is publicly announced that someone picked a red card. It is publicly announced that James knows whether someone picked a red card. It is publicly announced that James does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Rosie can now know whether James can know whether Rosie picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["James","Rosie","Heather"],"index":51681,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9970101118,"difficulty":0.0029898882}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Helen's card is shown to Helen. Stacie's card is shown to Stacie. It is publicly announced that someone picked a red card. It is publicly announced that Stacie picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (1&2) ] (Agenta knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! (1&2) ] 0","hypothesis":"Helen can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Helen","Stacie"],"index":65730,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9977090359,"difficulty":0.0022909641}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Grace's card is shown to Grace. Audrey's card is shown to Audrey. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] Agentb knows whether (Agenta knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Audrey can now know whether Grace can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Grace","Audrey"],"index":10953,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994420409,"difficulty":0.0005579591}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Laura's card is shown to Jesus. Laura's card is shown to Laura. Glen's card is shown to Glen. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agentc knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Laura can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jesus","Lisa","Laura","Glen"],"index":43644,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989963174,"difficulty":0.0010036826}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stella's card is shown to Stella. Bradley's card is shown to Stella. Stella's card is shown to Bradley. It is publicly announced that someone picked a red card. It is publicly announced that Stella picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] Agentb knows whether (Agenta knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(1) ] 0","hypothesis":"Bradley can now know whether Stella can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Stella","Bradley"],"index":55170,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9839192033,"difficulty":0.0160807967}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Zachery. Erin's card is shown to Zachery. Michael's card is shown to Erin. Naomi's card is shown to Erin. Naomi's card is shown to Naomi. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,4 Agentc:4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:1,4 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Erin can now know that Erin picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Michael","Zachery","Erin","Naomi"],"index":4364,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9935411215,"difficulty":0.0064588785}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Hubert's card is shown to Paul. Paul's card is shown to Hubert. It is publicly announced that someone picked a red card. It is publicly announced that Paul picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 VALID? [ ! (1|2|3|4) ] [ ! 1 ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0","hypothesis":"Paul can now know whether Paul picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Paul","Eric","Jean","Hubert"],"index":11747,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9829698801,"difficulty":0.0170301199}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lawrence's card is shown to Lawrence. Lawrence's card is shown to Patsy. Patsy's card is shown to Patsy. It is publicly announced that someone picked a red card. It is publicly announced that Patsy knows whether Patsy picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (1|2) ] Agenta knows that (Agentb knows whether (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (1|2) ] 0","hypothesis":"Lawrence can now know that Patsy can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Lawrence","Patsy"],"index":11241,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994391799,"difficulty":0.0005608201}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Camille's card is shown to Camille. Camille's card is shown to Jimmy. Jimmy's card is shown to Jimmy. Ralph's card is shown to Jimmy. Camille's card is shown to Ralph. Jimmy's card is shown to Ralph. It is publicly announced that someone picked a red card.","smcdel_problem":"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))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] 0","hypothesis":"Jimmy can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Camille","Jimmy","Ralph"],"index":2189,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9927615523,"difficulty":1.9927615523}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Douglas's card is shown to Douglas. Kristy's card is shown to Douglas. Douglas's card is shown to Carl. Erma's card is shown to Kristy. It is publicly announced that someone picked a red card. It is publicly announced that Douglas does not know whether Carl picked a red card. It is publicly announced that Carl does not know whether Carl picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentc knows whether 3) ] (Agentc knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1 Agentc:2 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Carl can now know whether Erma picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Douglas","Erma","Carl","Kristy"],"index":7479,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.9892452955,"difficulty":1.9892452955}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Holly's card is shown to Holly. Holly's card is shown to Carl. It is publicly announced that someone picked a red card. It is publicly announced that Holly picked a red card. It is publicly announced that Holly knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether (1|2)) ] Agentb knows that (Agenta knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Carl can now know that Holly can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Holly","Carl"],"index":12879,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994783998,"difficulty":0.0005216002}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Roslyn's card is shown to Charlene. Charlene's card is shown to Roslyn. Lorelei's card is shown to Roslyn. Charlene's card is shown to Lorelei. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentc knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Charlene can now know whether Lorelei can know whether Lorelei picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Charlene","Roslyn","Lorelei"],"index":47501,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9910178185,"difficulty":0.0089821815}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Marcie's card is shown to Marcie. Angela's card is shown to Angela. James's card is shown to Angela. Angela's card is shown to James. 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 James does not know whether James picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 3) ] 0","hypothesis":"Marcie can now know whether Angela picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Marcie","Angela","James"],"index":23750,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9515150189,"difficulty":1.9515150189}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lyn's card is shown to Stephanie. Barbara's card is shown to Barbara. Barbara's card is shown to Lyn. It is publicly announced that someone picked a red card. It is publicly announced that Lyn does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows whether (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Barbara can now know whether Stephanie can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Stephanie","Barbara","Lyn"],"index":22888,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9991771579,"difficulty":0.0008228421}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Amanda's card is shown to Norman. Norman's card is shown to Amanda. Amanda's card is shown to Joe. Norman's card is shown to George. Amanda's card is shown to George. Joe's card is shown to George. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] (Agentd knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:2 Agentd:1,2,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"George can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Norman","Amanda","Joe","George"],"index":57685,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993169308,"difficulty":0.0006830692}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kathleen's card is shown to Kathleen. Barbara's card is shown to Kathleen. Alan's card is shown to Kathleen. Barbara's card is shown to Barbara. Alan's card is shown to Alan. It is publicly announced that someone picked a red card. It is publicly announced that Barbara does not know whether Alan picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows that (Agentc knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"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","hypothesis":"Barbara can now know that Alan can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Kathleen","Barbara","Alan"],"index":60405,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994012117,"difficulty":0.0005987883}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michael's card is shown to Michael. Michael's card is shown to Bobby. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3|4) ] (Agenta knows whether (1|2|3|4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Stephen can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Stephen","Michael","Raymundo","Bobby"],"index":33979,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.999432981,"difficulty":0.000567019}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dorthy's card is shown to Margaret. Margaret's card is shown to Dorthy. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] Agenta knows whether (Agentb knows that (1|2))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] 0","hypothesis":"Margaret can now know whether Dorthy can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Margaret","Dorthy"],"index":41108,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994170666,"difficulty":0.0005829334}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Betty's card is shown to Kara. Dan's card is shown to Betty. Dan's card is shown to Dan. It is publicly announced that someone picked a red card. It is publicly announced that Dan does not know whether Betty picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Dan can now know that Dan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kara","Betty","Dan"],"index":11599,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.982637465,"difficulty":0.017362535}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judith's card is shown to Jesus. Jesus's card is shown to Jesus. Jennifer's card is shown to Jesus. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 VALID? [ ! (1|2|3|4) ] (Agenta knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jack can now know whether Jesus picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jack","Judith","Jesus","Jennifer"],"index":57714,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7983602881,"difficulty":0.2016397119}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Donna's card is shown to Jonathon. Jesica's card is shown to Jonathon. Jonathon's card is shown to Benjamin. Donna's card is shown to Benjamin. Donna's card is shown to Donna. Jonathon's card is shown to Jesica. Donna's card is shown to Jesica. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:1,3 Agentc:3 Agentd:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jonathon can now know whether Jesica can know whether Jonathon picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jonathon","Benjamin","Donna","Jesica"],"index":22507,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9983061552,"difficulty":0.0016938448}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sean's card is shown to Sean. Randee's card is shown to Sean. Sean's card is shown to Juan. Juan's card is shown to Juan. Thomas's card is shown to Thomas. Sean's card is shown to Randee. Juan's card is shown to Randee. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agentd knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:1,2 Agentc:3 Agentd:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Thomas can now know that Randee can know whether Sean picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sean","Juan","Thomas","Randee"],"index":30687,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.901070714,"difficulty":0.098929286}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sam's card is shown to Sam. Robert's card is shown to Sam. Heather's card is shown to Sam. Ruth's card is shown to Robert. Ruth's card is shown to Heather. Heather's card is shown to Heather. It is publicly announced that someone picked a red card. It is publicly announced that Robert picked a black card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] Agentc knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3,4 Agentb:1 Agentc:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Robert can now know that Ruth can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ruth","Sam","Robert","Heather"],"index":52637,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993846416,"difficulty":0.0006153584}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Dennis's card is shown to Lillie. Dennis's card is shown to Grace. Dennis's card is shown to Kristin. Kristin's card is shown to Kristin. It is publicly announced that someone picked a red card. It is publicly announced that Grace does not know whether Kristin picked a red card. It is publicly announced that Lillie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Grace can now know whether Dennis picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Lillie","Grace","Dennis","Kristin"],"index":1233,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.7263424397,"difficulty":0.2736575603}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). James's card is shown to Angela. Carl's card is shown to James. James's card is shown to Carl. It is publicly announced that someone picked a red card. It is publicly announced that Angela knows whether someone picked a red card. It is publicly announced that James does not know whether Angela picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agentb knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"James can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Angela","James","Carl"],"index":49614,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9989515543,"difficulty":0.0010484457}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jose's card is shown to Ruth. Twila's card is shown to Ruth. Jose's card is shown to Jose. Ruth's card is shown to Twila. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Twila can now know that Ruth can know whether Jose picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ruth","Jose","Twila"],"index":63432,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6110038757,"difficulty":0.3889961243}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Alma's card is shown to Alma. Andrea's card is shown to Alma. Matthew's card is shown to Matthew. Andrea's card is shown to Andrea. It is publicly announced that someone picked a red card. It is publicly announced that Andrea does not know whether Alma picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentc knows whether (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Andrea can now know whether Matthew can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Alma","Matthew","Andrea"],"index":53193,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9644562602,"difficulty":0.0355437398}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nancy's card is shown to Nancy. Nancy's card is shown to Janice. Johnnie's card is shown to Janice. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Janice can now know whether Nancy can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Nancy","Janice","Johnnie"],"index":61395,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9811413884,"difficulty":0.0188586116}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Claud's card is shown to Claud. Claud's card is shown to Joseph. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card. It is publicly announced that Claud knows whether or not nobody picked a red card. It is publicly announced that Claud does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] (Agenta knows that (1|2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Claud can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Claud","Joseph"],"index":16805,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994539618,"difficulty":0.0005460382}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Justin's card is shown to Justin. Jose's card is shown to Justin. Pamela's card is shown to Carla. Jose's card is shown to Pamela. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] Agentb knows whether (Agenta knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Carla can now know whether Justin can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Justin","Carla","Pamela","Jose"],"index":8907,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.856279552,"difficulty":0.143720448}
+{"premise":"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 Helen. Helen's card is shown to Darrell. Darrell's card is shown to Darrell. Kevin's card is shown to Darrell. Helen's card is shown to Kevin. Darrell's card is shown to Kevin. Kevin's card is shown to Kevin. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentc knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1,2,3 Agentc:1,2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Helen can now know whether Kevin can know whether Darrell picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Helen","Darrell","Kevin"],"index":3385,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9985161424,"difficulty":0.0014838576}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Edwin's card is shown to Edwin. Edwin's card is shown to Jacob. Edwin's card is shown to Adam. Jacob's card is shown to Adam. It is publicly announced that someone picked a red card. It is publicly announced that Edwin knows whether Edwin picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:1 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Jacob can now know whether Adam picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Edwin","Jacob","Adam"],"index":49068,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9873349667,"difficulty":0.0126650333}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rosalind's card is shown to Allan. Meredith's card is shown to Allan. Allan's card is shown to Lorraine. Rosalind's card is shown to Meredith. Meredith's card is shown to Meredith. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:1,4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:2 Agentc:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Lorraine can now know whether Allan can know whether Meredith picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Rosalind","Allan","Lorraine","Meredith"],"index":60491,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9987718463,"difficulty":0.0012281537}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Joseph's card is shown to Joseph. Christopher's card is shown to Joseph. Mary's card is shown to Mary. Christopher's card is shown to Mary. Joseph's card is shown to Christopher. Mary's card is shown to Christopher. It is publicly announced that someone picked a red card. It is publicly announced that Joseph knows whether someone picked a red card. It is publicly announced that Christopher picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Joseph does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 3 ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 3 ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Joseph can now know whether Joseph picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Joseph","Mary","Christopher"],"index":12011,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.810415864,"difficulty":0.189584136}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Katherine's card is shown to Katherine. Deanne's card is shown to Katherine. Katherine's card is shown to Deanne. Deanne's card is shown to Deanne. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] Agentb knows whether (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] 0","hypothesis":"Deanne can now know whether Katherine can know that Katherine picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Katherine","Deanne"],"index":23924,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8876356483,"difficulty":0.1123643517}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leonard's card is shown to Leonard. David's card is shown to Alfred. David's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that Leonard does not know whether or not everyone picked a red card. It is publicly announced that Alfred does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"David can now know that Leonard picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Leonard","Alfred","David"],"index":30210,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.946696341,"difficulty":1.946696341}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Susan's card is shown to Susan. Randy's card is shown to Susan. Randy's card is shown to Randy. It is publicly announced that someone picked a red card. It is publicly announced that Randy does not know whether Susan picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] Agenta knows that (Agentb knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Susan can now know that Randy can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Susan","Randy"],"index":28447,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9556232691,"difficulty":0.0443767309}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kenneth's card is shown to Kenneth. Gilbert's card is shown to Gilbert. Gilbert's card is shown to Emily. It is publicly announced that someone picked a red card. It is publicly announced that Gilbert does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Gilbert can now know that Emily picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kenneth","Gilbert","Emily"],"index":28681,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9066586494,"difficulty":0.0933413506}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Susan's card is shown to Alonzo. Susan's card is shown to Susan. Tina's card is shown to Susan. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Susan can now know that Alonzo can know that Alonzo picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Alonzo","Susan","Tina"],"index":7253,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9977232814,"difficulty":0.0022767186}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Adan's card is shown to Adan. Lisa's card is shown to Adan. Amira's card is shown to Lisa. James's card is shown to James. James's card is shown to Amira. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Lisa does not know whether James picked a red card. It is publicly announced that James does not know whether Lisa picked a red card. It is publicly announced that James does not know whether Lisa picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] (Agentd knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2 Agentb:4 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Amira can now know whether Adan picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Adan","Lisa","James","Amira"],"index":20135,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.956515789,"difficulty":0.043484211}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Frances's card is shown to Frances. Marilyn's card is shown to Frances. Rebecca's card is shown to William. Frances's card is shown to Marilyn. William's card is shown to Marilyn. Rebecca's card is shown to Rebecca. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:1,2 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3 Agentb:4 Agentc:1,2 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"William can now know that Marilyn picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Frances","William","Marilyn","Rebecca"],"index":3374,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9982339144,"difficulty":0.0017660856}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Douglas's card is shown to David. Candy's card is shown to Douglas. Douglas's card is shown to Jennifer. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Douglas can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Candy","David","Douglas","Jennifer"],"index":24104,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993329644,"difficulty":0.0006670356}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Louis's card is shown to Louis. Roland's card is shown to Louis. Roland's card is shown to Roland. Peter's card is shown to Roland. Roland's card is shown to Peter. It is publicly announced that someone picked a red card. It is publicly announced that Peter does not know whether Louis picked a red card. It is publicly announced that Louis does not know whether Peter picked a red card. It is publicly announced that Peter knows whether or not everyone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] Agentb knows that (Agenta knows whether 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2,3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! (1|2|3) ] 0","hypothesis":"Roland can now know that Louis can know whether Roland picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Louis","Roland","Peter"],"index":60799,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9055093527,"difficulty":0.0944906473}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to Laura. Laura's card is shown to Lillian. David's card is shown to Lillian. Lillian's card is shown to Lillian. It is publicly announced that someone picked a red card. It is publicly announced that David knows whether Lillian picked a red card. It is publicly announced that Laura does not know whether Lillian picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,2,3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Laura can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Laura","David","Lillian"],"index":3464,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9862018228,"difficulty":0.0137981772}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Stella's card is shown to Stella. Stella's card is shown to Kevin. It is publicly announced that someone picked a red card. It is publicly announced that Kevin knows whether someone picked a red card. It is publicly announced that Kevin does not know whether Kevin picked a red card. It is publicly announced that Kevin does not know whether Kevin picked a red card. It is publicly announced that Kevin does not know whether Kevin picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] Agentb knows that (Agenta knows that (1&2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] [ ! ~(Agentb knows whether 2) ] 0","hypothesis":"Kevin can now know that Stella can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Stella","Kevin"],"index":65596,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9987057447,"difficulty":0.0012942553}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lisa's card is shown to Lisa. Michael's card is shown to Lisa. Lisa's card is shown to Michael. Michael's card is shown to Michael. It is publicly announced that someone picked a red card. It is publicly announced that everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] Agenta knows that (Agentb knows that (~(1|2)))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Lisa can now know that Michael can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Lisa","Michael"],"index":33563,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9802470207,"difficulty":0.0197529793}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Cheryl's card is shown to Cheryl. Cheryl's card is shown to James. James's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that James knows whether Cheryl picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] Agenta knows whether (Agentb knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Cheryl can now know whether James can know that someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Cheryl","James"],"index":35992,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.99943012,"difficulty":0.00056988}
+{"premise":"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 Thelma. Timothy's card is shown to Timothy. It is publicly announced that someone picked a red card. It is publicly announced that Timothy does not know whether Thelma picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Thelma can now know whether Thelma picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Thelma","Timothy"],"index":51541,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9703501463,"difficulty":0.0296498537}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Conrad's card is shown to Ronald. Eric's card is shown to Eric. Jean's card is shown to Jean. Jean's card is shown to Conrad. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 Agentd:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ronald can now know whether Conrad can know whether Conrad picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ronald","Eric","Jean","Conrad"],"index":44904,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9879806638,"difficulty":0.0120193362}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Beatriz's card is shown to Patricia. Patricia's card is shown to Beatriz. Beatriz's card is shown to Beatriz. It is publicly announced that someone picked a red card. It is publicly announced that Patricia knows whether or not everyone picked a red card. It is publicly announced that Beatriz picked a black card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! ~(2) ] (Agentb knows whether (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1,2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! ~(2) ] 0","hypothesis":"Beatriz can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Patricia","Beatriz"],"index":36658,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994636178,"difficulty":0.0005363822}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lewis's card is shown to Jeremy. Lewis's card is shown to Lewis. It is publicly announced that someone picked a red card. It is publicly announced that Lewis does not know whether or not everyone picked a red card. It is publicly announced that Jeremy knows whether Lewis picked a red card. It is publicly announced that Lewis does not know whether Jeremy picked a red card. It is publicly announced that Lewis knows whether or not nobody picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows that (1|2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Lewis can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Jeremy","Lewis"],"index":45173,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994619489,"difficulty":0.0005380511}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Brad's card is shown to Linda. Linda's card is shown to Amanda. Linda's card is shown to Kevin. Linda's card is shown to Brad. Brad's card is shown to Brad. It is publicly announced that someone picked a red card. It is publicly announced that Linda does not know whether Kevin picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentd knows whether (Agentc knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1 Agentc:1 Agentd:1,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Brad can now know whether Kevin can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Linda","Amanda","Kevin","Brad"],"index":36298,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994088411,"difficulty":0.0005911589}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Vincent's card is shown to Vincent. Gail's card is shown to Carl. John's card is shown to Gail. Vincent's card is shown to John. Carl's card is shown to John. Gail's card is shown to John. John's card is shown to John. It is publicly announced that someone picked a red card. It is publicly announced that Vincent does not know whether John picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agentc knows that (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:4 Agentd:1,2,3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Gail can now know that Vincent can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Vincent","Carl","Gail","John"],"index":51907,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990534186,"difficulty":0.0009465814}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Gerard's card is shown to Gerard. Gerard's card is shown to Shaneka. Shaneka's card is shown to Shaneka. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] Agenta knows that (Agentb knows that (1&2))","n_announcements":0,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:1,2 VALID? [ ! (1|2) ] 0","hypothesis":"Gerard can now know that Shaneka can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Gerard","Shaneka"],"index":35207,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9988794923,"difficulty":0.0011205077}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carol's card is shown to Marjorie. Marjorie's card is shown to Carol. Christina's card is shown to Carol. James's card is shown to James. Christina's card is shown to James. Marjorie's card is shown to Christina. James's card is shown to Christina. Christina's card is shown to Christina. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:3,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] (Agentc knows that 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1,4 Agentc:3,4 Agentd:1,3,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"James can now know that Carol picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Marjorie","Carol","James","Christina"],"index":33779,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9975905418,"difficulty":0.0024094582}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Leslie's card is shown to Jessica. Jessica's card is shown to Leslie. Eliza's card is shown to Leslie. Eliza's card is shown to Eliza. It is publicly announced that someone picked a red card. It is publicly announced that Eliza does not know whether Jessica picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentc knows whether (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:1,3 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Eliza can now know whether Leslie can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jessica","Leslie","Eliza"],"index":16746,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.966997683,"difficulty":0.033002317}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Irene's card is shown to Wanda. Wanda's card is shown to Dorothy. It is publicly announced that someone picked a red card. It is publicly announced that Irene picked a black card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(1) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(1) ] 0","hypothesis":"Irene can now know whether Irene picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Irene","Wanda","Dorothy"],"index":28429,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9794036746,"difficulty":0.0205963254}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lloyd's card is shown to Lloyd. Kirk's card is shown to Lloyd. David's card is shown to David. Kirk's card is shown to Kirk. It is publicly announced that someone picked a red card. It is publicly announced that Kirk does not know whether Lloyd picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agenta knows whether (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Lloyd can now know whether Kirk can know whether Lloyd picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lloyd","David","Kirk"],"index":5028,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9967924953,"difficulty":0.0032075047}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kim's card is shown to Shad. Hazel's card is shown to Shad. Kim's card is shown to Susan. Hazel's card is shown to Susan. Susan's card is shown to Hazel. Hazel's card is shown to Hazel. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] Agentc knows whether (Agentb knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3,4 Agentb:3,4 Agentc:2,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Kim can now know whether Susan can know whether Shad picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Shad","Susan","Kim","Hazel"],"index":11447,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9984813333,"difficulty":0.0015186667}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Theresa's card is shown to Theresa. Rita's card is shown to Theresa. Vincent's card is shown to Theresa. Vincent's card is shown to Rita. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 VALID? [ ! (1|2|3) ] Agentb knows that (Agenta knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2,3 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Rita can now know that Theresa can know that Theresa picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Theresa","Rita","Vincent"],"index":30500,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9954946041,"difficulty":0.0045053959}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Erma's card is shown to Evelyn. Evelyn's card is shown to Carl. Carl's card is shown to Erma. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:2 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Carl can now know that Gladys can know whether Gladys picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Gladys","Evelyn","Carl","Erma"],"index":29793,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9962887764,"difficulty":0.0037112236}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Andrea's card is shown to Andrea. Patricia's card is shown to Ivy. Patricia's card is shown to Vicky. Ivy's card is shown to Vicky. It is publicly announced that someone picked a red card. It is publicly announced that Andrea knows whether or not everyone picked a red card. It is publicly announced that Patricia knows whether Andrea picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! (Agenta knows whether 2) ] (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Ivy can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Patricia","Andrea","Ivy","Vicky"],"index":45038,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9987963438,"difficulty":0.0012036562}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to Leah. Leah's card is shown to David. It is publicly announced that someone picked a red card. It is publicly announced that Leah knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] (Agenta knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Leah can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Leah","David"],"index":51235,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993909597,"difficulty":0.0006090403}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Nichole's card is shown to Nichole. Paula's card is shown to Nichole. Nichole's card is shown to Paula. Paula's card is shown to Paula. Jovita's card is shown to Paula. Paula's card is shown to Jovita. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:2,3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Paula can now know whether Jovita picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Kevin","Nichole","Paula","Jovita"],"index":66509,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.6119216084,"difficulty":1.6119216084}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Mckinley's card is shown to Stephen. Lynn's card is shown to Stephen. Lewis's card is shown to Lewis. Mckinley's card is shown to Lynn. Stephen's card is shown to Lynn. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3|4) ] (Agenta knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3 Agentc:1,2 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mckinley can now know that Lynn picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mckinley","Stephen","Lewis","Lynn"],"index":41155,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976524711,"difficulty":0.0023475289}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Christopher's card is shown to Joseph. Joanne's card is shown to Joseph. Joseph's card is shown to Christopher. Christopher's card is shown to Christopher. Joanne's card is shown to Christopher. Christopher's card is shown to Joanne. Joanne's card is shown to Joanne. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] (Agentb knows whether (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:1,2,3 Agentc:2,3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Christopher can now know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Joseph","Christopher","Joanne"],"index":20428,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.993252337,"difficulty":1.993252337}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Heather's card is shown to Nicholas. James's card is shown to James. It is publicly announced that someone picked a red card. It is publicly announced that Heather does not know whether Nicholas picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Heather can now know that Heather picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Heather","Nicholas","James"],"index":33594,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9825012088,"difficulty":0.0174987912}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Kelly's card is shown to Kelly. John's card is shown to Roger. Kelly's card is shown to John. Roger's card is shown to John. Kelly's card is shown to Mary. Mary's card is shown to Mary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agenta knows that (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:3 Agentc:1,2 Agentd:1,4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Mary can now know that Kelly can know that everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kelly","Roger","John","Mary"],"index":34255,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9988161325,"difficulty":0.0011838675}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Steven's card is shown to Steven. Linda's card is shown to Linda. It is publicly announced that someone picked a red card. It is publicly announced that Steven knows whether someone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows whether (Agentb knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Steven can now know whether Linda can know whether someone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Steven","Linda"],"index":22160,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994136095,"difficulty":0.0005863905}
+{"premise":"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 Michael. Frank's card is shown to Michael. Elizabeth's card is shown to Bridget. Bridget's card is shown to Frank. Frank's card is shown to Frank. It is publicly announced that someone picked a red card. It is publicly announced that Frank picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] Agentb knows that (Agentc knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,4 Agentb:2 Agentc:3,4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0","hypothesis":"Elizabeth can now know that Bridget can know that Frank picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Michael","Elizabeth","Bridget","Frank"],"index":23901,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.98470819,"difficulty":0.01529181}
+{"premise":"There are three 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 Maria. It is publicly announced that someone picked a red card. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agenta knows whether (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:2 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Christine can now know whether Michael can know whether Michael picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Christine","Michael","Maria"],"index":63735,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9980864525,"difficulty":0.0019135475}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Wade's card is shown to Wade. Donna's card is shown to Wade. Donna's card is shown to Donna. Wade's card is shown to Bonnie. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] (Agenta knows that (1|2|3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Wade can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Wade","Donna","Bonnie"],"index":41026,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994043112,"difficulty":0.0005956888}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). David's card is shown to Daisy. David's card is shown to David. Robert's card is shown to David. David's card is shown to Robert. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] (Agenta knows that 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:3,4 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Daisy can now know that Robert picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Daisy","Arthur","David","Robert"],"index":487,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9976020455,"difficulty":0.0023979545}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Lydia's card is shown to Jonathan. Jonathan's card is shown to Ann. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:3 Agentb:1 VALID? [ ! (1|2|3) ] 0","hypothesis":"Ann can now know whether Jonathan can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jonathan","Ann","Lydia"],"index":26553,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993758798,"difficulty":0.0006241202}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Clarence's card is shown to Larry. Larry's card is shown to Larry. Jamie's card is shown to Larry. Clarence's card is shown to Jamie. Helen's card is shown to Jamie. Helen's card is shown to Helen. It is publicly announced that someone picked a red card. It is publicly announced that Helen picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1,4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agenta knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,2,3 Agentb:1,4 Agentc:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Clarence can now know that Jamie can know that Clarence picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Clarence","Larry","Jamie","Helen"],"index":57423,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9872034192,"difficulty":0.0127965808}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sheryl's card is shown to Sheryl. Lee's card is shown to Sheryl. Richard's card is shown to Richard. Lee's card is shown to Richard. It is publicly announced that someone picked a red card. It is publicly announced that Sheryl knows whether or not nobody picked a red card. It is publicly announced that not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! (~(1&2&3&4)) ] (Agentb knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,4 Agentb:3,4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Frank can now know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Sheryl","Frank","Richard","Lee"],"index":18261,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993352294,"difficulty":0.0006647706}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Janice's card is shown to Janice. Linda's card is shown to Janice. Patricia's card is shown to Janice. Patricia's card is shown to Jennifer. Janice's card is shown to Linda. Janice's card is shown to Patricia. It is publicly announced that someone picked a red card. It is publicly announced that Jennifer does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Janice can now know that Jennifer can know whether Patricia picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Janice","Jennifer","Linda","Patricia"],"index":36052,"s-l":"explicit-1","deberta_pred":0,"deberta_confidence":0.8984212875,"difficulty":1.8984212875}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Michele's card is shown to Sandra. Arthur's card is shown to Sandra. Michele's card is shown to Michele. Sandra's card is shown to Arthur. It is publicly announced that someone picked a red card. It is publicly announced that Michele does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2,3 Agentb:2 Agentc:1 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Michele can now know whether Arthur picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Sandra","Michele","Arthur"],"index":40774,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9052972198,"difficulty":0.0947027802}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Judith's card is shown to Judith. Barbara's card is shown to Judith. Fay's card is shown to Judith. Fay's card is shown to Barbara. Barbara's card is shown to Fay. It is publicly announced that someone picked a red card. It is publicly announced that Martin does not know whether Judith picked a red card. It is publicly announced that Martin does not know whether or not everyone picked a red card. It is publicly announced that Judith knows whether Fay picked a red card. It is publicly announced that Barbara does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agenta knows whether 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Judith can now know whether Martin picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Judith","Martin","Barbara","Fay"],"index":43655,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9560236931,"difficulty":0.0439763069}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Sharon's card is shown to Greg. Cynthia's card is shown to Sharon. Cynthia's card is shown to Gregory. Sharon's card is shown to Gregory. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] Agenta knows that (Agentc knows that (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:3 Agentb:1 Agentc:1,3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Cynthia can now know that Sharon can know that nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Cynthia","Greg","Sharon","Gregory"],"index":10425,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990404248,"difficulty":0.0009595752}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Jose's card is shown to Jose. Billy's card is shown to Jose. Tommie's card is shown to Tommie. Billy's card is shown to Tommie. Jose's card is shown to Billy. Tommie's card is shown to Billy. It is publicly announced that someone picked a red card. It is publicly announced that Jose knows whether someone picked a red card. It is publicly announced that Billy picked a red card. It is publicly announced that someone picked a red card. It is publicly announced that Jose does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 3 ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,3 Agentb:2,3 Agentc:1,2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! 3 ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Tommie can now know whether Billy picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jose","Tommie","Billy"],"index":20867,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.8794214129,"difficulty":0.1205785871}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Samantha's card is shown to Kathleen. Anna's card is shown to Samantha. Samantha's card is shown to Anna. It is publicly announced that someone picked a red card. It is publicly announced that Kathleen knows whether someone picked a red card. It is publicly announced that Samantha does not know whether Kathleen picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:2 Agentb:3 Agentc:2 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Kathleen can now know that nobody picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kathleen","Samantha","Anna"],"index":61419,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9990296364,"difficulty":0.0009703636}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Deborah's card is shown to Deborah. Jessica's card is shown to Aurea. It is publicly announced that someone picked a red card. It is publicly announced that Jessica does not know whether or not everyone picked a red card. It is publicly announced that Jessica does not know whether Deborah picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Deborah can now know that someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Deborah","Jessica","Aurea"],"index":15348,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994602799,"difficulty":0.0005397201}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Karen's card is shown to Karen. Wallace's card is shown to Karen. Harold's card is shown to Karen. Harold's card is shown to Billie. Karen's card is shown to Wallace. Karen's card is shown to Harold. It is publicly announced that someone picked a red card. It is publicly announced that Billie does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentd knows that (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1,3,4 Agentb:4 Agentc:1 Agentd:1 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Harold can now know that Karen can know that Karen picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Karen","Billie","Wallace","Harold"],"index":63147,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.6117781401,"difficulty":0.3882218599}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Ryan's card is shown to Randy. Ryan's card is shown to Ryan. David's card is shown to Ryan. It is publicly announced that someone picked a red card. It is publicly announced that Randy does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2 Agentb:2,4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Ryan can now know that everyone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Randy","Ryan","Anne","David"],"index":61363,"s-l":"explicit-0","deberta_pred":0,"deberta_confidence":0.9983133078,"difficulty":0.0016866922}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Rosemarie's card is shown to Rosemarie. Brandon's card is shown to Rosemarie. Rosemarie's card is shown to Brandon. It is publicly announced that someone picked a red card. It is publicly announced that Brandon does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows whether (1&2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1,2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Brandon can now know whether Rosemarie can know whether or not everyone picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Rosemarie","Brandon"],"index":63013,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.6401367188,"difficulty":0.3598632812}
+{"premise":"There are three persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Carol's card is shown to Carol. Joann's card is shown to Carol. Jerry's card is shown to Joann. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] Agenta knows whether (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1,2 Agentb:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Carol can now know whether Joann can know that Jerry picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Carol","Joann","Jerry"],"index":21290,"s-l":"explicit-0","deberta_pred":1,"deberta_confidence":0.9180250168,"difficulty":1.9180250168}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Melvin's card is shown to Malika. Gary's card is shown to Malika. Malika's card is shown to Melvin. Gary's card is shown to Gary. It is publicly announced that someone picked a red card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:2,3 Agentb:1 Agentc:3 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Malika can now know whether Gary can know whether or not nobody picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Malika","Melvin","Gary","Leonora"],"index":24341,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9993553758,"difficulty":0.0006446242}
+{"premise":"There are two persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Barbara's card is shown to Keri. Keri's card is shown to Barbara. It is publicly announced that someone picked a red card. It is publicly announced that Keri does not know whether or not everyone picked a red card.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] (Agentb knows whether (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:2 Agentb:1 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Barbara can now know whether someone picked a red card.","setup":"explicit","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Keri","Barbara"],"index":50572,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9994499087,"difficulty":0.0005500913}
+{"premise":"There are four persons. Everyone is visible to others. Each person draws a card, face unrevealed (red or black). Eura's card is shown to Deborah. Deborah's card is shown to David. Eura's card is shown to David. David's card is shown to Nellie. Deborah's card is shown to Eura. Nellie's card is shown to Eura. It is publicly announced that someone picked a red card. It is publicly announced that Eura does not know whether Eura picked a red card. It is publicly announced that Deborah knows whether or not nobody picked a red card. It is publicly announced that Nellie picked a black card.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(3) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:4 Agentb:1,4 Agentc:2 Agentd:1,3 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] [ ! ~(3) ] 0","hypothesis":"Deborah can now know whether Nellie can know whether Eura picked a red card.","setup":"explicit","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Deborah","David","Nellie","Eura"],"index":67249,"s-l":"explicit-1","deberta_pred":1,"deberta_confidence":0.9989263415,"difficulty":0.0010736585}