diff --git "a/data/test-internal.jsonl" "b/data/test-internal.jsonl"
deleted file mode 100644--- "a/data/test-internal.jsonl"
+++ /dev/null
@@ -1,910 +0,0 @@
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Margaret knows whether Margaret is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! (Agentc knows whether 3) ] Agentb knows whether (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Timothy can now know whether Margaret can know whether Margaret is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Felix","Timothy","Margaret"],"index":59151,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9985899329,"difficulty":0.0014100671}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Timothy knows whether Raymond is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 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) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Raymond can now know whether Timothy can know whether Raymond is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Raymond","Timothy"],"index":22804,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986045957,"difficulty":0.0013954043}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jill does not know whether Reginald is thirsty. It is publicly announced that Jill does not know whether Randy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] Agentd knows that (Agentb knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Randy can now know that Reginald can know that Randy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Marie","Reginald","Jill","Randy"],"index":51378,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9930247068,"difficulty":0.0069752932}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rikki does not know whether Daryl is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] (Agentd knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Billy can now know whether Rikki is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Daryl","Allan","Rikki","Billy"],"index":5050,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9522816539,"difficulty":0.0477183461}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sylvester knows whether someone is thirsty. It is publicly announced that Sylvester knows whether Sylvester is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agentb knows whether 2) ] [ ! (1&2) ] (Agentb knows whether (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agentb knows whether 2) ] [ ! (1&2) ] 0","hypothesis":"Sylvester can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Jerry","Sylvester"],"index":66328,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997271895,"difficulty":0.0002728105}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clarence does not know whether or not everyone is thirsty. It is publicly announced that Richard knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"David can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Clarence","David","Richard","Micheal"],"index":62585,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997296929,"difficulty":0.0002703071}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Franklin can now know whether Assunta is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Assunta","Marion","Franklin","Richard"],"index":6788,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9951654673,"difficulty":0.0048345327}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy does not know whether Agnes is thirsty. It is publicly announced that Agnes does not know whether Nancy is thirsty. It is publicly announced that Thomas does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentc knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Agnes can now know whether Thomas is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Thomas","Nancy","Agnes"],"index":64616,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.6982142329,"difficulty":0.3017857671}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether or not everyone is thirsty. It is publicly announced that Brittany does not know whether Victor is thirsty. It is publicly announced that Brittany does not know whether Victor is thirsty. It is publicly announced that Victor knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agentc knows that (1&2&3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Victor can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Brittany","Paul","Victor"],"index":29145,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9976765513,"difficulty":0.0023234487}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shon does not know whether Alta is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] Agentb knows that (Agentc knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Mark can now know that Alta can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Shon","Mark","Alta"],"index":35465,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984117746,"difficulty":0.0015882254}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kevin knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 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 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Joseph can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Kevin","Joseph"],"index":41420,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985839128,"difficulty":0.0014160872}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helen does not know whether Dexter is thirsty. It is publicly announced that Dexter does not know whether Helen is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Dexter can now know whether Helen can know that Howard is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Howard","Helen","Dexter"],"index":56500,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9915130734,"difficulty":0.0084869266}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Louise knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] Agentd knows that (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0","hypothesis":"Anthony can now know that Sharon can know that Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Louise","Robert","Sharon","Anthony"],"index":52544,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985796213,"difficulty":0.0014203787}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Harvey is not thirsty. It is publicly announced that Judy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! 1 ] Agenta knows that (Agentd knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! 1 ] 0","hypothesis":"Judy can now know that Harvey can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Judy","William","Clinton","Harvey"],"index":24174,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997820258,"difficulty":0.0002179742}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carolyn does not know whether or not everyone is thirsty. It is publicly announced that Silvana does not know whether Ronald is thirsty. It is publicly announced that Carolyn does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agenta knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Ronald can now know that Carolyn is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Ronald","Carolyn","Silvana"],"index":33224,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.7304099202,"difficulty":0.2695900798}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Bettie can now know whether Laurence can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Laurence","Joann","Ricky","Bettie"],"index":27268,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995433092,"difficulty":0.0004566908}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose knows whether or not everyone is thirsty. It is publicly announced that Kyle knows whether Jose is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] Agenta knows whether (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Kyle can now know whether Jose can know that Jose is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Kyle","Jose","Thomas"],"index":49729,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9659089446,"difficulty":0.0340910554}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda knows whether someone is thirsty. It is publicly announced that Pamela knows whether or not nobody is thirsty. It is publicly announced that Pamela does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (~(1|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:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Linda can now know that Pamela can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Pamela","Linda"],"index":13183,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997790456,"difficulty":0.0002209544}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diana does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb 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) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Phillip can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Phillip","Diana"],"index":59409,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997782111,"difficulty":0.0002217889}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Lisa knows whether Lisa is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agenta knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Lisa can now know whether Howard is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lisa","Danielle","Howard","Robert"],"index":2972,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9951430559,"difficulty":0.0048569441}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether James is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Maria does not know whether Joseph is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentc knows whether 4) ] (Agentd knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Joseph can now know that James is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["James","Tabitha","Maria","Joseph"],"index":32763,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9960266352,"difficulty":0.0039733648}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agentc knows whether (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Melodie can now know whether George can know whether Tina is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tina","George","Melodie","Ellen"],"index":19393,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989756346,"difficulty":0.0010243654}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lee does not know whether Larry is thirsty. It is publicly announced that Helen does not know whether Lee is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 1) ] Agentc knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Larry can now know whether Leslie can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Lee","Leslie","Larry","Helen"],"index":24894,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994781613,"difficulty":0.0005218387}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Terry does not know whether Beth is thirsty. It is publicly announced that Beth does not know whether Terry is thirsty. It is publicly announced that Terry does not know whether Beth is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] Agentc knows that (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:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Alexandria can now know that Beth can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Beth","Terry","Alexandria","Ryan"],"index":34622,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997853637,"difficulty":0.0002146363}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruby does not know whether Olivia is thirsty. It is publicly announced that Olivia does not know whether Ruby is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Ruby can now know whether Pedro can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Olivia","Patricia","Ruby","Pedro"],"index":58742,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9978147745,"difficulty":0.0021852255}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Russell is thirsty. It is publicly announced that David does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Russell can now know whether David is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Russell","David"],"index":21241,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.8562071919,"difficulty":0.1437928081}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Meghan does not know whether Rose is thirsty. It is publicly announced that Rose is thirsty. It is publicly announced that Rose knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3))) ] Agentc knows that (Agentb knows that (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"David can now know that Rose can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Meghan","Rose","David"],"index":20324,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997297585,"difficulty":0.002702415}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Marshall knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agentb knows that (Agenta knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Marshall can now know that Tanya can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Tanya","Marshall"],"index":57317,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984661341,"difficulty":0.0015338659}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carole knows whether Carole is thirsty. It is publicly announced that John knows whether John is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] Agentb knows that (Agenta knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"John can now know that Carole can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Carole","John"],"index":64890,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9551694989,"difficulty":0.0448305011}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sheila does not know whether Michael is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Dolores does not know whether Michael is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] (Agenta knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Michael can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Michael","Sheila","Frank","Dolores"],"index":53469,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985900521,"difficulty":0.0014099479}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Esther knows whether Esther is thirsty. It is publicly announced that Jeffrey does not know whether Esther is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Lenard does not know whether Darlene is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Esther can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Esther","Lenard","Darlene","Jeffrey"],"index":48814,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984647036,"difficulty":0.0015352964}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kelly is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agentb knows that (Agenta knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Pamela can now know that Kelly can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Kelly","Pamela","Matthew","Christopher"],"index":54876,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.8580032587,"difficulty":1.8580032587}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Misty is thirsty. It is publicly announced that Alison does not know whether or not everyone is thirsty. It is publicly announced that Alison does not know whether Chester is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] (Agentb knows whether (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Chester can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["William","Chester","Misty","Alison"],"index":2020,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997785687,"difficulty":0.0002214313}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clinton knows whether Clinton is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Monica can now know whether Monica is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Ruth","Clinton","Monica","Alex"],"index":6636,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9962112904,"difficulty":0.0037887096}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bradley knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] Agentc knows that (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Bryan can now know that Aileen can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Aileen","Bradley","Bryan"],"index":2046,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.99834764,"difficulty":0.00165236}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jack does not know whether Harry is thirsty. It is publicly announced that Jamie does not know whether Harry is thirsty. It is publicly announced that Jack knows whether Jack is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] (Agenta knows whether (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Jamie can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jamie","Harry","Jack"],"index":34181,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.958996594,"difficulty":0.041003406}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Richard knows whether someone is thirsty. It is publicly announced that Rebecca does not know whether Richard is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Rebecca can now know that Thomas is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Rebecca","Thomas","Richard","Gary"],"index":13227,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9979051352,"difficulty":0.0020948648}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Annette does not know whether Jody is thirsty. It is publicly announced that Hector does not know whether Annette is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] Agentc knows that (Agentd knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Jody can now know that Annette can know whether Annette is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Hector","Michael","Jody","Annette"],"index":18306,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990596175,"difficulty":0.0009403825}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rosie does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Bonnie can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Rodney","Rosie","Bonnie"],"index":11452,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967261553,"difficulty":0.0032738447}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Martha does not know whether Patricia is thirsty. It is publicly announced that Kari does not know whether Martha is thirsty. It is publicly announced that Martha does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agentd knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"Jessica can now know whether Kari is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Kari","Martha","Patricia","Jessica"],"index":1518,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5284016132,"difficulty":1.5284016132}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Katherine does not know whether Mary is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Mary can now know that Reba can know whether Katherine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Reba","Katherine","Mary","Veronica"],"index":2869,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9903202653,"difficulty":0.0096797347}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joyce does not know whether Lisa is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Joyce can now know that Lisa is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mark","Sherri","Lisa","Joyce"],"index":62973,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982182384,"difficulty":0.0017817616}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elisabeth does not know whether Ricardo is thirsty. It is publicly announced that Elisabeth does not know whether Ruby is thirsty. It is publicly announced that Elisabeth is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(3) ] (Agenta knows that (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(3) ] 0","hypothesis":"Ricardo can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Ricardo","Ruby","Elisabeth"],"index":47395,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983366728,"difficulty":0.0016633272}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Estelle does not know whether Alex is thirsty. It is publicly announced that Jonathan is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] Agenta knows whether (Agentc knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] 0","hypothesis":"Alex can now know whether Jonathan can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Alex","Estelle","Jonathan","Luisa"],"index":59828,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997869134,"difficulty":0.0002130866}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Angela does not know whether Joseph is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agentc knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Angela can now know that Mary can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Joseph","Angela","Mary","Jennifer"],"index":28060,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984428287,"difficulty":0.0015571713}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Debbie does not know whether Louise is thirsty. It is publicly announced that Debbie does not know whether Louise is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Louise can now know whether Louise is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Louise","Debbie"],"index":36492,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9988777041,"difficulty":0.0011222959}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lois does not know whether Shirley is thirsty. It is publicly announced that Shirley does not know whether Ethel is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] (Agentd knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Shirley can now know whether Michael is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lois","Michael","Ethel","Shirley"],"index":38159,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9917110205,"difficulty":0.0082889795}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria knows whether or not nobody is thirsty. It is publicly announced that Annie does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentd knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Hubert can now know whether William is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Annie","Maria","William","Hubert"],"index":45554,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9210917354,"difficulty":0.0789082646}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether or not everyone is thirsty. It is publicly announced that Toby does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that 3)","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&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Toby can now know that William is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Toby","Lourdes","William"],"index":36395,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.6538709402,"difficulty":1.6538709402}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Willie does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Rosetta can now know that Rosetta is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Rosetta","Matthew","Willie","Linwood"],"index":24838,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8578053713,"difficulty":0.1421946287}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel knows whether Daniel is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] Agentb knows that (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Daniel can now know that Aaron can know that Aaron is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Michael","Daniel","Aaron"],"index":12909,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9978804588,"difficulty":0.0021195412}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Constance knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta 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:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] 0","hypothesis":"Robert can now know that Constance can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Constance","Robert"],"index":15799,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983355403,"difficulty":0.0016644597}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether Brenda is thirsty. It is publicly announced that Charles knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1&2&3)) ] Agentb knows that (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) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Ronald can now know that Brenda can know whether Brenda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Brenda","Ronald","Charles"],"index":38999,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.998794198,"difficulty":0.001205802}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Charles can now know whether Ruth can know whether Ruth is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Charles","Ruth","Evelyn","Beatrice"],"index":33743,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9966558218,"difficulty":0.0033441782}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shirley knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Shirley can now know that James is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Shirley","James","Kyle","Michel"],"index":5551,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984679818,"difficulty":0.0015320182}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeffrey does not know whether Donald is thirsty. It is publicly announced that Donald does not know whether Jeffrey is thirsty. It is publicly announced that Jeffrey is thirsty. It is publicly announced that Charity does not know whether Donald is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] [ ! ~(Agentc knows whether 2) ] (Agenta knows whether (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Jeffrey can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jeffrey","Donald","Charity","Nancy"],"index":31283,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9166817665,"difficulty":0.0833182335}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melinda knows whether or not nobody is thirsty.","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":"Melinda can now know whether Karen can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Melinda","Karen"],"index":52443,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9462856054,"difficulty":0.0537143946}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Hazel knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agenta knows whether (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) ] [ ! (1&2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Hazel can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Hazel","Julie"],"index":24939,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9951049089,"difficulty":0.0048950911}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Monika is thirsty. It is publicly announced that Rose does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows whether (Agenta knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Monika can now know whether Elizabeth can know whether Monika is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Elizabeth","Rose","Monika"],"index":14381,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9985027313,"difficulty":0.0014972687}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kenny does not know whether Robert is thirsty. It is publicly announced that Michael knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Kenny can now know that Anthony is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Kenny","Michael","Anthony","Robert"],"index":31872,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998142004,"difficulty":0.001857996}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether Beverly is thirsty. It is publicly announced that Ben does not know whether Lois is thirsty. It is publicly announced that Lois does not know whether Paul is thirsty. It is publicly announced that Paul knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentb knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Beverly can now know that Ben is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ben","Beverly","Paul","Lois"],"index":49845,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9953166246,"difficulty":0.0046833754}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Joshua can now know that George can know that Joshua is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["George","Joshua","James"],"index":32072,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985571504,"difficulty":0.0014428496}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether Christopher is thirsty. It is publicly announced that Richard does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Christopher can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Richard","Christopher","Joseph"],"index":3262,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7380641103,"difficulty":0.2619358897}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Moses knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta 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 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Moses can now know that Colleen can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Moses","Colleen"],"index":54513,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997659326,"difficulty":0.0002340674}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Gary does not know whether Joan is thirsty. It is publicly announced that Joan knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Joan can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Timothy","Joan","Gary"],"index":30320,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997095466,"difficulty":0.0002904534}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rhett knows whether or not everyone is thirsty. It is publicly announced that Donald is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! 1 ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! 1 ] 0","hypothesis":"Donald can now know that Donald is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Donald","Rhett"],"index":25890,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9833125472,"difficulty":0.0166874528}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Michael is thirsty. It is publicly announced that Christine does not know whether Allyson is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 3) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"John can now know whether Michael can know that John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Michael","John","Allyson","Christine"],"index":34241,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9925898314,"difficulty":0.0074101686}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agentc knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"April can now know that Terrence can know whether Carter is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Janet","April","Terrence","Carter"],"index":34906,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.958041966,"difficulty":0.041958034}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentc knows that (Agenta knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Doris can now know that John can know whether Doris is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["John","Walter","Doris"],"index":40296,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.6669961214,"difficulty":1.6669961214}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sharon is not thirsty. It is publicly announced that Jeffery does not know whether Anthony is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] (Agentd knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Sharon can now know that Sharon is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["David","Jeffery","Anthony","Sharon"],"index":38265,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6319665909,"difficulty":0.3680334091}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alberta does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows whether (Agentc knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Daniel can now know whether Alberta can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dominick","Daniel","Alberta"],"index":30998,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997707009,"difficulty":0.0002292991}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Heather does not know whether John is thirsty. It is publicly announced that Deborah does not know whether Ashley is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 2) ] (Agentd knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Deborah can now know whether Ashley is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Heather","Ashley","John","Deborah"],"index":56757,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9833096862,"difficulty":0.0166903138}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Kathleen can now know that Kathleen is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kathleen","Thomas","Lizzie"],"index":37447,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9915493727,"difficulty":0.0084506273}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christine does not know whether Patricia is thirsty. It is publicly announced that Christine does not know whether or not everyone is thirsty. It is publicly announced that Christine does not know whether Charles is thirsty. It is publicly announced that Patricia does not know whether Charles is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agentc knows whether (Agentb knows whether 4)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Patricia can now know whether Scott can know whether Christine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Charles","Scott","Patricia","Christine"],"index":63780,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9985326529,"difficulty":0.0014673471}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Amy does not know whether Sandra is thirsty. It is publicly announced that Lynn does not know whether Amy is thirsty. It is publicly announced that Sandra does not know whether Lynn is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Sandra can now know whether Lynn is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Amy","Lynn","Sandra"],"index":42104,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9639142156,"difficulty":0.0360857844}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kylie does not know whether Diane is thirsty. It is publicly announced that James does not know whether John is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"James can now know whether Diane is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Kylie","John","James","Diane"],"index":9603,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9941872358,"difficulty":0.0058127642}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kurt does not know whether or not everyone is thirsty. It is publicly announced that Richard knows whether Kurt is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] Agentb knows whether (Agentd knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] 0","hypothesis":"Daniel can now know whether Richard can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tina","Daniel","Kurt","Richard"],"index":38937,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997771382,"difficulty":0.0002228618}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] Agenta knows that (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] 0","hypothesis":"John can now know that Jolynn can know whether Jolynn is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["John","Jolynn","Miriam"],"index":45624,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9953616261,"difficulty":0.0046383739}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether or not everyone is thirsty. It is publicly announced that David does not know whether Nancy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Nancy can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Barbara","David","Nancy","George"],"index":19973,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983397722,"difficulty":0.0016602278}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether Cory is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Harley can now know whether Cory can know whether Paul is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Cory","Harley","Paul","Ingrid"],"index":5855,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986061454,"difficulty":0.0013938546}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary is not thirsty. It is publicly announced that Mary knows whether or not everyone is thirsty. It is publicly announced that Douglas does not know whether Peter is thirsty. It is publicly announced that Peter knows whether Peter is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentc knows whether 3) ] Agentc knows whether (Agenta knows that (1|2|3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Peter can now know whether Mary can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mary","Douglas","Peter"],"index":22499,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999778688,"difficulty":0.000221312}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marcus knows whether or not everyone is thirsty. It is publicly announced that Dewitt is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! 1 ] (Agentb knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! 1 ] 0","hypothesis":"Marcus can now know whether Dewitt is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Dewitt","Marcus"],"index":65594,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9678891301,"difficulty":0.0321108699}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jane is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Mary can now know that Allison is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jane","Mary","Allison","Frances"],"index":8099,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9962965846,"difficulty":0.0037034154}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel does not know whether Christine is thirsty. It is publicly announced that Daniel does not know whether Christine is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 2) ] Agenta knows whether (Agentb 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 2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Daniel can now know whether Christine can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Daniel","Christine"],"index":52466,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9972283244,"difficulty":1.9972283244}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows whether (Agentd knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Ryan can now know whether Maria can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Nelson","Ryan","Christopher","Maria"],"index":25975,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999782145,"difficulty":0.000217855}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Pablo can now know that Monique can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Monique","Laura","Marlena","Pablo"],"index":57514,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997525811,"difficulty":0.0002474189}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lillie does not know whether Samuel is thirsty. It is publicly announced that William does not know whether Samuel is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] Agentd knows that (Agentb knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"William can now know that Lillie can know that Samuel is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Maxine","Lillie","Samuel","William"],"index":57639,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9944518209,"difficulty":0.0055481791}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bruno does not know whether or not everyone is thirsty. It is publicly announced that Heather knows whether someone is thirsty. It is publicly announced that Michael does not know whether Heather is thirsty. It is publicly announced that Michael does not know whether John is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentb knows whether 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Heather can now know that John can know whether John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Heather","John","Michael","Bruno"],"index":42254,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9980137348,"difficulty":0.0019862652}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Peggy is thirsty. It is publicly announced that David is not thirsty. It is publicly announced that Shelly does not know whether Charlotte is thirsty. It is publicly announced that Peggy does not know whether Shelly is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agentc knows that (Agenta knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Charlotte can now know that Peggy can know that Peggy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Peggy","Shelly","Charlotte","David"],"index":57103,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9643762112,"difficulty":0.0356237888}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raymond knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] Agentb knows that (Agentc knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Joan can now know that Raymond can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Ann","Joan","Raymond"],"index":15517,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983691573,"difficulty":0.0016308427}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentc knows that (Agenta knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Simone can now know that Robert can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Robert","David","Simone"],"index":25594,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9458001256,"difficulty":0.0541998744}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pauline does not know whether James is thirsty. It is publicly announced that Steven does not know whether James is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Pauline can now know that Pauline is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Steven","James","Pauline","Dorothy"],"index":31693,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9786927104,"difficulty":0.0213072896}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether Shirley is thirsty. It is publicly announced that Shirley is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] 0","hypothesis":"Cynthia can now know whether Cynthia is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Linda","Shirley","Cynthia"],"index":56201,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9976008534,"difficulty":0.0023991466}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lydia does not know whether Todd is thirsty. It is publicly announced that Daniel does not know whether Todd is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Daniel can now know that Layne is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lydia","Daniel","Todd","Layne"],"index":45912,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967136383,"difficulty":0.0032863617}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jimmie is not thirsty. It is publicly announced that Julissa is not thirsty. It is publicly announced that Jimmie does not know whether Leonard is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] Agentc knows that (Agentb knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Gladys can now know that Jimmie can know whether Leonard is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Leonard","Jimmie","Gladys","Julissa"],"index":21143,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8320851326,"difficulty":0.1679148674}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Rebecca is thirsty. It is publicly announced that James does not know whether Lillian is thirsty. It is publicly announced that Rebecca does not know whether Lillian is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 1) ] (Agentb knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Margaret can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lillian","Margaret","James","Rebecca"],"index":23923,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984641075,"difficulty":0.0015358925}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Georgia does not know whether Sean is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] Agentd knows whether (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Mildred can now know whether Georgia can know whether Georgia is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Georgia","Sean","Martha","Mildred"],"index":56741,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990926981,"difficulty":0.0009073019}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows whether (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Walter can now know whether James can know that Caprice is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Caprice","Walter","James"],"index":22473,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.993070662,"difficulty":0.006929338}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose knows whether Brian is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] (Agentb 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 2) ] 0","hypothesis":"Brian can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Jose","Brian"],"index":66437,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985817671,"difficulty":0.0014182329}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lydia does not know whether David is thirsty. It is publicly announced that Phyllis does not know whether Lydia is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] Agentd knows that (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Lydia can now know that David can know whether David is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Phyllis","Esperanza","David","Lydia"],"index":15685,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9965968728,"difficulty":0.0034031272}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Jill is thirsty. It is publicly announced that Jill does not know whether Bobby is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] (Agentd knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Greg can now know whether John is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["John","Jill","Bobby","Greg"],"index":18315,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9814994931,"difficulty":0.0185005069}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sanjuanita does not know whether Mary is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Sanjuanita can now know whether Frances is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Sanjuanita","Mary","Frances"],"index":25331,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9966325164,"difficulty":0.0033674836}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeremy does not know whether or not everyone is thirsty. It is publicly announced that Valene knows whether Jeremy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] Agenta knows that (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] 0","hypothesis":"Elaine can now know that Kevin can know that Elaine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Elaine","Kevin","Jeremy","Valene"],"index":51678,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9010599852,"difficulty":0.0989400148}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randy does not know whether Joanna is thirsty. It is publicly announced that Randy knows whether Randy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether 3) ] (Agentc knows whether (1|2|3))","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) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Randy can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Joanna","Peter","Randy"],"index":24622,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997816682,"difficulty":0.0002183318}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows whether (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Joanne can now know whether Ramon can know that Ramon is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Ervin","Joanne","Nathan","Ramon"],"index":5786,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.5542958379,"difficulty":0.4457041621}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Emil knows whether Christina is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 2) ] Agenta knows that (Agentb knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Emil can now know that Christina can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Emil","Christina","John","Daniel"],"index":14439,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997056365,"difficulty":0.002943635}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia does not know whether Dorothy is thirsty. It is publicly announced that Patricia does not know whether Marjorie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] (Agentc knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Marjorie can now know whether Patricia is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Dorothy","Patricia","Marjorie"],"index":10805,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7424535155,"difficulty":0.2575464845}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mercedes does not know whether Velma is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agenta knows that (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Velma can now know that Mercedes can know that Velma is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Velma","Mercedes","Raymond","Lawrence"],"index":12768,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9969850183,"difficulty":0.0030149817}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agentc knows that (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"David can now know that Anna can know that David is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Anna","Ben","David"],"index":56528,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9960105419,"difficulty":0.0039894581}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Scott knows whether George is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] (Agenta knows that (1&2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Scott can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Scott","George"],"index":31626,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.99548316,"difficulty":0.00451684}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pamela does not know whether Angela is thirsty. It is publicly announced that Angela knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Diane can now know that Angela is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Pamela","Anthony","Angela","Diane"],"index":11273,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997271359,"difficulty":0.002728641}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agenta knows that (Agentc knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Judith can now know that Margaret can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Judith","Ben","Margaret","Vivian"],"index":400,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997810721,"difficulty":0.0002189279}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marian does not know whether Lena is thirsty. It is publicly announced that Marian does not know whether or not everyone is thirsty. It is publicly announced that Dana is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(3) ] Agentc knows whether (Agenta knows that (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(3) ] 0","hypothesis":"Dana can now know whether Lena can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lena","Marian","Dana"],"index":42469,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9960049987,"difficulty":0.0039950013}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Verna does not know whether Kent is thirsty. It is publicly announced that Kent does not know whether Verna is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agentb knows whether (Agentd knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Verna can now know whether Jessica can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ashley","Verna","Kent","Jessica"],"index":55659,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994356036,"difficulty":0.0005643964}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda knows whether someone is thirsty. It is publicly announced that Arlene does not know whether Helen is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agenta knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Linda can now know whether Helen can know whether Arlene is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Helen","Linda","Arlene"],"index":10379,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9988786578,"difficulty":0.0011213422}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jennifer knows whether or not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Omar knows whether Jennifer is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] [ ! (Agentb knows whether 1) ] Agenta knows whether (Agentb knows whether (1|2))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Jennifer can now know whether Omar can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jennifer","Omar"],"index":37971,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997758269,"difficulty":0.0002241731}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ryan does not know whether Daryl is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Daryl can now know that Thomas can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Ryan","Thomas","Daryl"],"index":30793,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998421073,"difficulty":0.001578927}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeanette does not know whether or not everyone is thirsty. It is publicly announced that Julia does not know whether Betty is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether 2) ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Jeanette can now know that Julia is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Julia","Betty","Jeanette","Claude"],"index":39001,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9514376521,"difficulty":0.0485623479}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dianne does not know whether Ashley is thirsty. It is publicly announced that Susan knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentc knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Ashley can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Dianne","Susan","Ashley"],"index":22630,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9969797134,"difficulty":0.0030202866}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raymond does not know whether Joanne is thirsty. It is publicly announced that Joanne knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] Agenta knows that (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Roberta can now know that Joanne can know that Eleanor is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Roberta","Raymond","Eleanor","Joanne"],"index":64628,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967209697,"difficulty":0.0032790303}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Theodore does not know whether Mary is thirsty. It is publicly announced that Mary does not know whether or not everyone is thirsty. It is publicly announced that Theodore is thirsty. It is publicly announced that Mary does not know whether Karla is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! 3 ] [ ! ~(Agentd knows whether 1) ] (Agenta knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! 3 ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Karla can now know whether Theodore is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Karla","Allen","Theodore","Mary"],"index":21527,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.7473989725,"difficulty":0.2526010275}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christine knows whether or not nobody is thirsty. It is publicly announced that Edward does not know whether or not everyone is thirsty. It is publicly announced that Jackie knows whether Jackie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether 3) ] (Agentb knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Edward can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Christine","Edward","Jackie"],"index":36537,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997207522,"difficulty":0.0002792478}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agentc knows that (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Juanita can now know that Charles can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Charles","Brian","Juanita"],"index":39332,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9965856075,"difficulty":0.0034143925}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eva does not know whether Gregory is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] Agentd knows whether (Agenta knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Timothy can now know whether Gregory can know that Joseph is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Gregory","Eva","Joseph","Timothy"],"index":57599,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9897056818,"difficulty":0.0102943182}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Greg is not thirsty. It is publicly announced that Greg does not know whether Raymond is thirsty. It is publicly announced that Ernest knows whether Ernest is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] Agenta knows whether (Agentc knows whether (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Greg can now know whether Ernest can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Greg","Raymond","Ernest","Mariah"],"index":60584,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.6247435808,"difficulty":0.3752564192}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Genevieve can now know that Matthew can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Genevieve","Matthew","Rosita","William"],"index":54183,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997124076,"difficulty":0.0002875924}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Douglas is not thirsty. It is publicly announced that Jack knows whether Douglas is thirsty. It is publicly announced that Douglas does not know whether Amber is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentd 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:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! (Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Jack can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jack","Jill","Amber","Douglas"],"index":36701,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997312427,"difficulty":0.0002687573}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jane does not know whether Andrew is thirsty. It is publicly announced that Jane knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0","hypothesis":"Jane can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jane","Louis","Nickolas","Andrew"],"index":18221,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997726083,"difficulty":0.0002273917}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Timothy can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Patricia","Timothy","Dante"],"index":24843,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997772574,"difficulty":0.0002227426}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Yvonne does not know whether Edith is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] Agentd knows that (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Yvonne can now know that Jesse can know that Edith is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Thomas","Edith","Jesse","Yvonne"],"index":37231,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9978917241,"difficulty":0.0021082759}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clarence does not know whether or not everyone is thirsty. It is publicly announced that Clarence does not know whether Roger is thirsty. It is publicly announced that Roger does not know whether William is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 4) ] Agenta knows that (Agentd knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Clarence can now know that William can know whether William is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Clarence","Roger","Bonita","William"],"index":31497,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9988325238,"difficulty":0.0011674762}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George knows whether George is thirsty. It is publicly announced that Cynthia does not know whether George is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Jimmie does not know whether Virginia is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that 4)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Jimmie can now know that Cynthia is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["George","Jimmie","Virginia","Cynthia"],"index":20474,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9956296682,"difficulty":0.0043703318}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Louise can now know whether Larry is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Larry","Mary","Rosemary","Louise"],"index":43755,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9616885185,"difficulty":0.0383114815}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Emily does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentd knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Emily can now know that Wendy can know that Gary is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Gary","Betty","Wendy","Emily"],"index":55943,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9202338457,"difficulty":0.0797661543}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marie knows whether someone is thirsty. It is publicly announced that Briana knows whether Marie is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! (Agentb knows whether 1) ] (Agenta knows whether (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)) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Marie can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Marie","Briana"],"index":52703,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997734427,"difficulty":0.0002265573}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jamie does not know whether Lois is thirsty. It is publicly announced that Kenneth does not know whether Nichol is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] Agentd knows that (Agentc knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Nichol can now know that Jamie can know whether Kenneth is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kenneth","Lois","Jamie","Nichol"],"index":37330,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9953357577,"difficulty":0.0046642423}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Ilene can now know that Dale can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Dale","Odell","Ilene","Mary"],"index":47132,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983112812,"difficulty":0.0016887188}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Phillip does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentc knows whether (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Robert can now know whether Doris can know that Doris is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Phillip","Laura","Robert","Doris"],"index":12870,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.6229080558,"difficulty":1.6229080558}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Troy does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentd knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Alan can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Stacy","Edward","Troy","Alan"],"index":32218,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.6704860926,"difficulty":1.6704860926}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marie does not know whether Leroy is thirsty. It is publicly announced that Deborah does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows whether (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Jerri can now know whether Deborah can know that Marie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jerri","Marie","Deborah","Leroy"],"index":34496,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9929795861,"difficulty":0.0070204139}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randy does not know whether Steven is thirsty. It is publicly announced that Steven is not thirsty. It is publicly announced that Randy is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(1) ] [ ! ~(2) ] Agentb knows that (Agentc knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(1) ] [ ! ~(2) ] 0","hypothesis":"Randy can now know that Patrick can know whether Norma is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Steven","Randy","Patrick","Norma"],"index":38984,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8483225703,"difficulty":0.1516774297}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Louie is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0","hypothesis":"Louie can now know whether Bonnie is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Bonnie","James","Louie","Harold"],"index":13413,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9940051436,"difficulty":0.0059948564}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|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:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"William can now know whether David can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Leslie","David","William"],"index":59145,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9447603226,"difficulty":0.0552396774}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] Agentb knows that (Agenta knows whether 1)","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":"Johnson can now know that Michael can know whether Michael is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Michael","Johnson"],"index":30571,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990361929,"difficulty":0.0009638071}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Catherine does not know whether Erin is thirsty. It is publicly announced that Martha does not know whether Erin is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] Agentb knows that (Agentd knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Catherine can now know that Martha can know that Martha is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Margarete","Catherine","Erin","Martha"],"index":17830,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.505274713,"difficulty":1.505274713}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew is not thirsty. It is publicly announced that Matthew knows whether Matthew is thirsty. It is publicly announced that Matthew does not know whether Erin is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] Agentc knows that (Agentb knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Willie can now know that Erin can know that Matthew is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Matthew","Erin","Willie"],"index":4936,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9557627439,"difficulty":0.0442372561}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Darryl does not know whether Mary is thirsty. It is publicly announced that Kelly does not know whether Darryl is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (Agenta knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Mary can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Mary","Darryl","Kelly"],"index":24320,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997789264,"difficulty":0.0002210736}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Peggy does not know whether Ronny is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Ronny knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Angelo can now know that Ronny can know whether Peggy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Ronny","Angelo","Peggy"],"index":29726,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6203919649,"difficulty":0.3796080351}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rodney does not know whether Terry is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 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) ] [ ! ~(Agenta knows whether 2) ] [ ! (1&2) ] 0","hypothesis":"Rodney can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Rodney","Terry"],"index":9660,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997749925,"difficulty":0.0002250075}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Katie is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agentd knows whether (Agentb knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"William can now know whether Gina can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Katie","Gina","Wayne","William"],"index":7986,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997871518,"difficulty":0.0002128482}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian does not know whether or not everyone is thirsty. It is publicly announced that Brian knows whether Brian is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 2) ] Agentb knows that (Agenta knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Brian can now know that Candida can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Candida","Brian"],"index":18620,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9895021319,"difficulty":0.0104978681}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janice knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Thomas can now know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Janice","Thomas","Elizabeth","Joseph"],"index":52064,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9977434874,"difficulty":0.0022565126}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Truman does not know whether Jo is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Jo is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"James can now know whether Jo is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["James","Truman","Jo"],"index":26105,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9836204052,"difficulty":0.0163795948}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Willie does not know whether Mark is thirsty. It is publicly announced that Willie does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (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) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Mark can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Mark","Willie"],"index":65996,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997796416,"difficulty":0.0002203584}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Latoya does not know whether Dustin is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Latoya does not know whether Angela is thirsty. It is publicly announced that Dawn does not know whether Dustin is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 4) ] (Agenta knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Latoya can now know that Dawn is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Latoya","Dawn","Angela","Dustin"],"index":51510,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9954505563,"difficulty":0.0045494437}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Meghan knows whether Elizabeth is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether 1) ] (Agentb knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Meghan can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Elizabeth","Meghan"],"index":45725,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997757077,"difficulty":0.0002242923}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret knows whether someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (1&2&3&4) ] (Agentc knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (1&2&3&4) ] 0","hypothesis":"Clyde can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Margaret","Charles","Clyde","Martin"],"index":57868,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997774959,"difficulty":0.0002225041}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian does not know whether Joy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Joy can now know that Katherine can know that Joy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Brian","Joy","Katherine"],"index":1535,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967388511,"difficulty":0.0032611489}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew does not know whether or not everyone is thirsty. It is publicly announced that Ralph does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows whether (~(1|2|3)))","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&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Matthew can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Marguerite","Ralph","Matthew"],"index":47195,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997194409,"difficulty":0.0002805591}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jason does not know whether Margret is thirsty. It is publicly announced that Margret does not know whether Jason is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] Agentd knows whether (Agentb knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Thomas can now know whether Lora can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Margret","Lora","Jason","Thomas"],"index":50763,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.998251617,"difficulty":0.001748383}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dustin does not know whether Katherine is thirsty. It is publicly announced that Marissa knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentb knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Marissa can now know that Katherine is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Dustin","Marissa","Katherine"],"index":6975,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980059266,"difficulty":0.0019940734}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Bernice can now know that Joseph can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Bernice","Linwood","Joseph"],"index":45839,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9964003563,"difficulty":0.0035996437}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agenta knows that (1&2&3))","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Erin can now know that Kenneth can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Kenneth","Ronald","Erin"],"index":10015,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983502626,"difficulty":0.0016497374}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edward knows whether someone is thirsty. It is publicly announced that Erika does not know whether William is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 4) ] (Agentd knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"William can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Edward","Erika","Bryan","William"],"index":28077,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999706924,"difficulty":0.000293076}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joyce does not know whether Donald is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] (Agenta knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Donald can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Donald","Kevin","Eugene","Joyce"],"index":43208,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985712767,"difficulty":0.0014287233}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jacqueline does not know whether Tammie is thirsty. It is publicly announced that Tammie knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentd knows whether (~(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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Tammie can now know that Edward can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Edward","Jacqueline","Melissa","Tammie"],"index":24667,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985340834,"difficulty":0.0014659166}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elena does not know whether or not everyone is thirsty. It is publicly announced that Elena does not know whether William is thirsty. It is publicly announced that William knows whether Elena is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether 2) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether 2) ] [ ! (~(1&2)) ] 0","hypothesis":"Elena can now know whether William can know whether William is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["William","Elena"],"index":5175,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9976571798,"difficulty":0.0023428202}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Amber does not know whether Maryann is thirsty. It is publicly announced that Amber does not know whether Betty is thirsty. It is publicly announced that Betty is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] [ ! 4 ] Agentc knows that (Agenta knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] [ ! 4 ] 0","hypothesis":"Amber can now know that Manuel can know that Manuel is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Manuel","Maryann","Amber","Betty"],"index":42942,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9479011893,"difficulty":0.0520988107}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Lai can now know whether Nellie can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Lai","Patricia","Bryan","Nellie"],"index":35267,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.987416625,"difficulty":0.012583375}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas does not know whether Carl is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Thomas can now know that Thomas is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Diana","Carl","Thomas","Patricia"],"index":49063,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6088799238,"difficulty":0.3911200762}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pauline is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Byron can now know whether Michael can know that Michael is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Byron","Michael","Pauline"],"index":22173,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.5393611789,"difficulty":0.4606388211}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anthony knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agentd knows that (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Kristy can now know that Anthony can know whether Kristy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Rebecca","Anthony","Wilmer","Kristy"],"index":32041,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9971690774,"difficulty":0.0028309226}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Candace knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] (Agentd knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Candace can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jennifer","Robert","Katherine","Candace"],"index":41710,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9973291159,"difficulty":0.0026708841}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dana does not know whether Laura is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Robert is thirsty. It is publicly announced that Dana knows whether Robert is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! (~(1&2&3&4)) ] [ ! 2 ] [ ! (Agentc knows whether 2) ] (Agentd knows that (~(1|2|3|4)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! (~(1&2&3&4)) ] [ ! 2 ] [ ! (Agentc knows whether 2) ] 0","hypothesis":"Laura can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Vivian","Robert","Dana","Laura"],"index":26694,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984614849,"difficulty":0.0015385151}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Catalina knows whether Catalina is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] Agenta knows that (Agentc knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Terri can now know that Catalina can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Terri","Elizabeth","Catalina"],"index":23803,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9563533068,"difficulty":0.0436466932}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Joan can now know whether Rhonda can know that Rhonda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Joan","Rhonda","Mario"],"index":46981,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9765732288,"difficulty":0.0234267712}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ethel knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1&2)) ] Agenta knows that (Agentb knows that 1)","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":"Ethel can now know that Clara can know that Ethel is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Ethel","Clara"],"index":1935,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.5484620929,"difficulty":0.4515379071}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] (Agentc knows whether 4)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Joseph can now know whether Frank is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Gloria","Lynette","Joseph","Frank"],"index":7533,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9977206588,"difficulty":0.0022793412}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Riley does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows whether (Agentc knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Riley can now know whether Luz can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Riley","Arthur","Luz"],"index":18092,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999704659,"difficulty":0.000295341}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"James can now know that Clifford is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["James","Jason","Clifford"],"index":65842,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9971388578,"difficulty":0.0028611422}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Beverly is thirsty. It is publicly announced that Beverly does not know whether or not everyone is thirsty. It is publicly announced that Beverly does not know whether or not everyone is thirsty. It is publicly announced that Barry does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agenta knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Brian can now know that Brian is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Brian","Beverly","Barry"],"index":64501,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.8979053497,"difficulty":1.8979053497}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy does not know whether Sanjuanita is thirsty. It is publicly announced that Dorothy is thirsty. It is publicly announced that Sanjuanita knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! 2 ] [ ! (Agentc knows whether (~(1|2|3))) ] Agentb knows that (Agenta knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! 2 ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"Dorothy can now know that Nancy can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Nancy","Dorothy","Sanjuanita"],"index":9754,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997115731,"difficulty":0.0002884269}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raymond is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agentd knows whether (Agenta knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Alana can now know whether Raymond can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Raymond","Deidra","Johnnie","Alana"],"index":39240,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.5420043468,"difficulty":0.4579956532}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Regina does not know whether Robert is thirsty. It is publicly announced that Robert does not know whether Regina is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agentc knows that (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Robert can now know that Regina can know that Melissa is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Melissa","Regina","Robert","Mark"],"index":16201,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9953169823,"difficulty":0.0046830177}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentd knows whether (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Kelly can now know whether Melisa can know that Melisa is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Melisa","Dorothy","Andrea","Kelly"],"index":56751,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9479440451,"difficulty":0.0520559549}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda knows whether Samuel is thirsty. It is publicly announced that Linda knows whether Samuel is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Linda can now know whether Linda is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Linda","Samuel"],"index":58999,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990555644,"difficulty":0.0009444356}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marshall knows whether Marshall is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] Agentc knows that (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Marshall can now know that Donald can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Donald","Maritza","Marshall"],"index":32200,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997677207,"difficulty":0.0002322793}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Robert knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] Agenta knows that (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Robert can now know that Kevin can know whether Kevin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Robert","Kevin"],"index":28962,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9971374273,"difficulty":0.0028625727}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Darrell does not know whether Robbie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentd knows whether (Agentc knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Darrell can now know whether Robbie can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Glen","Carl","Robbie","Darrell"],"index":44916,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7892221212,"difficulty":0.2107778788}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Richard knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Wesley can now know that Richard can know that Wesley is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Wesley","Richard","Joel","Jamie"],"index":18862,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9351829886,"difficulty":0.0648170114}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Charles is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Charles can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charles","Joshua","Stephen","David"],"index":17640,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998259604,"difficulty":0.001740396}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Aaron does not know whether or not everyone is thirsty. It is publicly announced that George is thirsty. It is publicly announced that George is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! 3 ] [ ! 3 ] Agenta knows whether (Agentb knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! 3 ] [ ! 3 ] 0","hypothesis":"Carol can now know whether Wanda can know that Carol is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Carol","Wanda","George","Aaron"],"index":26115,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.98041749,"difficulty":0.01958251}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Vickie is not thirsty. It is publicly announced that Margaret knows whether or not everyone is thirsty. It is publicly announced that Vickie knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] Agenta knows whether (Agentd knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0","hypothesis":"Margaret can now know whether Kim can know whether Andrew is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Margaret","Andrew","Vickie","Kim"],"index":32861,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989638329,"difficulty":0.0010361671}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kathryn does not know whether Paul is thirsty. It is publicly announced that Kathryn does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Kathryn is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] [ ! 3 ] Agentb knows that (Agenta knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] [ ! 3 ] 0","hypothesis":"Cherry can now know that Paul can know that Cherry is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Paul","Cherry","Kathryn"],"index":62156,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8847382069,"difficulty":0.1152617931}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randal does not know whether David is thirsty. It is publicly announced that David does not know whether Robert is thirsty. It is publicly announced that Randal does not know whether David is thirsty. It is publicly announced that Randal does not know whether George is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] Agentd knows that (Agentb knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Randal can now know that David can know whether Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["George","David","Robert","Randal"],"index":27135,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9890483022,"difficulty":0.0109516978}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pamela does not know whether Timothy is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (1&2&3&4) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (1&2&3&4) ] 0","hypothesis":"Walter can now know whether Walter is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Walter","Rebecca","Timothy","Pamela"],"index":20921,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984544516,"difficulty":0.0015455484}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara does not know whether Quentin is thirsty. It is publicly announced that Michelle knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentc knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"Michelle can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Barbara","Quentin","Michelle"],"index":58561,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997740388,"difficulty":0.0002259612}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Juan is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] Agenta knows that (Agentc knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Toni can now know that Fred can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Toni","Juan","Fred","Allie"],"index":44546,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9034125209,"difficulty":1.9034125209}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Peggy can now know that Nancy can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Martha","Paul","Nancy","Peggy"],"index":48884,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983264804,"difficulty":0.0016735196}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kent does not know whether or not everyone is thirsty. It is publicly announced that Kent does not know whether Jackeline is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] (Agenta knows that (1&2&3))","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&2&3)) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Jackeline can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jackeline","Kathy","Kent"],"index":153,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9970255494,"difficulty":0.0029744506}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ralph does not know whether Terri is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] Agentd knows that (Agenta knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Tina can now know that Ralph can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Ralph","Terri","John","Tina"],"index":49211,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984381795,"difficulty":0.0015618205}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Oscar can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Oscar","Celeste","Staci"],"index":2282,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9981825352,"difficulty":0.0018174648}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Caleb does not know whether Jerry is thirsty. It is publicly announced that Jerry does not know whether Caleb is thirsty. It is publicly announced that Jan does not know whether or not everyone is thirsty. It is publicly announced that Jan is thirsty.","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 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] (Agenta knows that 3)","n_announcements":4,"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 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] 0","hypothesis":"Jerry can now know that Caleb is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jerry","Jan","Caleb"],"index":32171,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6783592105,"difficulty":0.3216407895}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Natalie knows whether someone is thirsty. It is publicly announced that Shelby knows whether or not nobody is thirsty. It is publicly announced that Shelby does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] Agenta knows that (Agentb knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Shelby can now know that Natalie can know whether Natalie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Shelby","Natalie"],"index":59523,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9982509017,"difficulty":0.0017490983}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Samantha knows whether or not nobody is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (~(1&2)) ] 0","hypothesis":"Samantha can now know whether Morgan can know that Samantha is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Morgan","Samantha"],"index":7514,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9907519817,"difficulty":0.0092480183}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether James is thirsty. It is publicly announced that James does not know whether Michael is thirsty. It is publicly announced that Charles does not know whether James is thirsty. It is publicly announced that Charles does not know whether Bobbie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] Agentb knows whether (Agenta knows that (1|2|3|4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"James can now know whether Bobbie can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Bobbie","James","Michael","Charles"],"index":43481,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997819066,"difficulty":0.0002180934}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Micheal does not know whether Wallace is thirsty. It is publicly announced that Wallace knows whether Wallace is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether 3) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Micheal can now know that Gary is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Micheal","Gary","Wallace"],"index":32064,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9966186285,"difficulty":0.0033813715}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy does not know whether Craig is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] Agenta knows whether (Agentb knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Craig can now know whether Annie can know that Adam is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Craig","Annie","Nancy","Adam"],"index":15226,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9930832386,"difficulty":0.0069167614}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Genevieve does not know whether Helene is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] Agentb knows that (Agentd knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Genevieve can now know that John can know that David is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["David","Genevieve","Helene","John"],"index":31319,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967352748,"difficulty":0.0032647252}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether Chung is thirsty. It is publicly announced that Michael is not thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] Agenta knows that (Agentc knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(3) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Shawn can now know that Michael can know whether Chung is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Shawn","Kristin","Michael","Chung"],"index":49683,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6037815213,"difficulty":0.3962184787}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Russell does not know whether Gladys is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Dean can now know whether Thomas can know whether Gladys is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Dean","Russell","Thomas","Gladys"],"index":35454,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990039468,"difficulty":0.0009960532}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Helen knows whether Kimberly is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Kimberly can now know whether Helen is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Kimberly","Helen"],"index":60229,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9809882641,"difficulty":0.0190117359}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Daniel is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Renee does not know whether Daniel is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] (Agenta knows that (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Daniel can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Daniel","Robert","Kevin","Renee"],"index":30874,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997789264,"difficulty":0.0002210736}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Angela is thirsty. It is publicly announced that Velvet does not know whether Elizabeth is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 2) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Elizabeth can now know whether Elizabeth is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Robert","Elizabeth","Angela","Velvet"],"index":20087,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986755252,"difficulty":0.0013244748}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diane knows whether Diane is thirsty. It is publicly announced that Brett does not know whether Diane is thirsty. It is publicly announced that Vanessa does not know whether Nicolas is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] Agenta knows that (Agentb knows that (1|2|3|4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Diane can now know that Nicolas can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Diane","Nicolas","Brett","Vanessa"],"index":36112,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997826219,"difficulty":0.0002173781}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether Kenneth is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] [ ! (1|2) ] (Agenta knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Kenneth can now know that Kenneth is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Kenneth","Michael"],"index":38375,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9908183217,"difficulty":0.0091816783}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jenifer does not know whether Suzanne is thirsty. It is publicly announced that Jennifer does not know whether Jenifer is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 1) ] Agentb knows that (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Robert can now know that Jenifer can know whether Jenifer is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jenifer","Robert","Suzanne","Jennifer"],"index":47916,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990460277,"difficulty":0.0009539723}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Doris does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Michael can now know whether Abraham can know whether Doris is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Michael","Abraham","Doris"],"index":20620,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989286065,"difficulty":0.0010713935}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian does not know whether Jonathan is thirsty. It is publicly announced that Jonathan does not know whether Rosa is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] (Agentc knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Rosa can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Brian","Jonathan","Rosa","Shirley"],"index":1359,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997796416,"difficulty":0.0002203584}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kenneth does not know whether Virginia is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agenta knows that (Agentd knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Kenneth can now know that Charlie can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kenneth","Kathleen","Virginia","Charlie"],"index":7425,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982891679,"difficulty":0.0017108321}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Leon is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agentd knows that (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0","hypothesis":"Sara can now know that Mary can know that Mary is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Adan","Mary","Leon","Sara"],"index":46648,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9613934755,"difficulty":0.0386065245}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Consuela does not know whether Dorothy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Ronnie can now know whether Dorothy can know whether Vikki is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Dorothy","Ronnie","Consuela","Vikki"],"index":60225,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.998914957,"difficulty":0.001085043}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Frederick does not know whether William is thirsty. It is publicly announced that Frederick does not know whether or not everyone is thirsty. It is publicly announced that Frederick does not know whether William is thirsty. It is publicly announced that William knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1|2)) ] Agentb knows whether (Agenta knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"William can now know whether Frederick can know that William is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Frederick","William"],"index":55823,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9904829264,"difficulty":0.0095170736}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Georgia does not know whether Allan is thirsty. It is publicly announced that Georgia is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(1) ] Agentc knows that (Agentb knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(1) ] 0","hypothesis":"Allan can now know that Jeff can know whether Allan is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Georgia","Jeff","Allan"],"index":43286,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.5341739058,"difficulty":0.4658260942}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Jeannette can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jeannette","Robin","Willie"],"index":31106,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983789921,"difficulty":0.0016210079}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andrea does not know whether Delbert is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Andrea can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Delbert","Sarah","Andrea","James"],"index":22324,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985439777,"difficulty":0.0014560223}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christine does not know whether or not everyone is thirsty. It is publicly announced that Christine does not know whether Maria is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] Agenta knows that (Agentb knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] 0","hypothesis":"Maria can now know that Christine can know whether Christine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Maria","Christine"],"index":30876,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990509152,"difficulty":0.0009490848}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose does not know whether Lisa is thirsty. It is publicly announced that Tina knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta 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:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Lisa can now know whether Lisa is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jose","Tina","Lisa"],"index":51930,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986302853,"difficulty":0.0013697147}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether Alvin is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (1&2&3) ] Agentb knows whether (Agentc knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (1&2&3) ] 0","hypothesis":"Alvin can now know whether John can know whether Alvin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Michael","Alvin","John"],"index":11010,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986602068,"difficulty":0.0013397932}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (~(1&2)) ] Agenta knows that (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (~(1&2)) ] 0","hypothesis":"Christin can now know that Thomas can know that Thomas is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Christin","Thomas"],"index":47220,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9854302406,"difficulty":0.0145697594}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew does not know whether Lois is thirsty. It is publicly announced that Lea does not know whether Matthew is thirsty. It is publicly announced that Matthew does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agentc knows whether (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"Lois can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lea","Matthew","Lois","Keith"],"index":56718,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5923597217,"difficulty":1.5923597217}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Valerie does not know whether Bernadette is thirsty. It is publicly announced that Matthew does not know whether Bernadette is thirsty. It is publicly announced that Matthew does not know whether Bernadette is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether 3) ] (Agentb knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Benjamin can now know that Benjamin is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Valerie","Benjamin","Bernadette","Matthew"],"index":4614,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9919954538,"difficulty":0.0080045462}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Geneva is not thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (~(1&2&3)) ] Agentb knows that (Agentc knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Henry can now know that Randy can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Geneva","Henry","Randy"],"index":23922,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997856021,"difficulty":0.0002143979}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregory knows whether Gregory is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] (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 2) ] 0","hypothesis":"Gregory can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Dannie","Gregory"],"index":65138,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9834165573,"difficulty":0.0165834427}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jennifer knows whether Jennifer is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Jennifer can now know that June is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jennifer","June","Minnie","Maude"],"index":42629,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9981513619,"difficulty":0.0018486381}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tyler is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] Agentb knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] 0","hypothesis":"Robert can now know that Joyce can know that Tyler is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Tyler","Robert","Joyce"],"index":5480,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9907835722,"difficulty":0.0092164278}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Michael is thirsty. It is publicly announced that David knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1&2&3)) ] Agenta knows that (Agentb knows that 2)","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) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Michael can now know that Denis can know that Denis is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Michael","Denis","David"],"index":5,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9034239054,"difficulty":0.0965760946}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Steven does not know whether Warren is thirsty. It is publicly announced that Christina is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! 2 ] Agenta knows that (Agentc knows that (~(1|2|3)))","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) ] [ ! 2 ] 0","hypothesis":"Warren can now know that Steven can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Warren","Christina","Steven"],"index":58490,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984253645,"difficulty":0.0015746355}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Peggy does not know whether Mark is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agenta knows whether (Agentc knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Mark can now know whether Brandon can know whether Peggy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mark","Peggy","Brandon"],"index":45392,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990416169,"difficulty":0.0009583831}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Albert does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agenta knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Joshua can now know that Hattie can know that Joshua is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Joshua","Albert","Hattie"],"index":741,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8652514219,"difficulty":0.1347485781}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Domonique does not know whether Wendell is thirsty. It is publicly announced that Domonique does not know whether Richard is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Wendell can now know that Domonique can know whether Richard is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Wendell","Domonique","Richard"],"index":43351,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9941225648,"difficulty":0.0058774352}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Betty knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows that (Agentb 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":"Betty can now know that Velda can know that Velda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Betty","Velda"],"index":28524,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998083353,"difficulty":0.001916647}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Danielle knows whether someone is thirsty. It is publicly announced that David knows whether David is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether 1) ] (Agenta knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"David can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["David","Danielle"],"index":62975,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998334825,"difficulty":0.001665175}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Blaine does not know whether Travis is thirsty. It is publicly announced that Judy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! 2 ] Agentb knows that (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! 2 ] 0","hypothesis":"Judy can now know that Laura can know that Travis is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Blaine","Judy","Travis","Laura"],"index":20184,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9771220088,"difficulty":0.0228779912}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Sabrina can now know whether Shawn can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Adrienne","Shawn","Sabrina"],"index":63594,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997835755,"difficulty":0.0002164245}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Roger does not know whether Jesus is thirsty. It is publicly announced that Jesus does not know whether Brent is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] Agentb knows whether (Agentd knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Roger can now know whether Jesus can know that John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["John","Roger","Brent","Jesus"],"index":66334,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9914335012,"difficulty":0.0085664988}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jennifer is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentc knows that (Agentd knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Jacklyn can now know that Jennifer can know whether Bobby is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jan","Bobby","Jacklyn","Jennifer"],"index":48768,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8662884235,"difficulty":0.1337115765}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether or not everyone is thirsty. It is publicly announced that Jeremy is not thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(2) ] [ ! (~(1&2)) ] (Agentb knows whether (1|2))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(2) ] [ ! (~(1&2)) ] 0","hypothesis":"Jeremy can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["William","Jeremy"],"index":31492,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997745156,"difficulty":0.0002254844}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diane knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Diane can now know that Cynthia is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Cynthia","Diane","German"],"index":14198,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998419404,"difficulty":0.001580596}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pamela does not know whether or not everyone is thirsty. It is publicly announced that Louis does not know whether Paul is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] (Agentd knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Pamela can now know that Rachel is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Rachel","Louis","Paul","Pamela"],"index":47853,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9764690995,"difficulty":0.0235309005}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy does not know whether Jerry is thirsty. It is publicly announced that Jerry does not know whether or not everyone is thirsty. It is publicly announced that Nancy is thirsty. It is publicly announced that Jerry does not know whether Benny is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! 3 ] [ ! ~(Agentd knows whether 1) ] (Agentb knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! 3 ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Shawn can now know whether Benny is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Benny","Shawn","Nancy","Jerry"],"index":21048,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5243513584,"difficulty":1.5243513584}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Judith is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agentd knows whether (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0","hypothesis":"Robert can now know whether Judith can know that Maria is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Maria","Carmen","Judith","Robert"],"index":19167,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9873641133,"difficulty":0.0126358867}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Frank knows whether Frank is thirsty. It is publicly announced that Alvin does not know whether Robert is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 2) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Robert can now know whether Frank can know that Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Frank","Robert","Alvin"],"index":5658,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9867734909,"difficulty":0.0132265091}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose does not know whether Naomi is thirsty. It is publicly announced that Naomi is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] (Agentb knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] 0","hypothesis":"Naomi can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jose","Naomi","Jaclyn"],"index":57839,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997892976,"difficulty":0.0002107024}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret does not know whether or not everyone is thirsty. It is publicly announced that Margaret is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] Agentb knows that (Agenta knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] 0","hypothesis":"Margaret can now know that William can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["William","Margaret","Verna"],"index":49350,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9879766107,"difficulty":0.0120233893}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruby does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Ulysses can now know that Faye can know whether Faye is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ulysses","Faye","Ruby","Donald"],"index":1107,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984217882,"difficulty":0.0015782118}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sandra is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 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:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Sandra can now know whether Edward can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Sandra","Melissa","Edward"],"index":50794,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5462311506,"difficulty":1.5462311506}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Martha does not know whether Melinda is thirsty. It is publicly announced that Marquita does not know whether Martha is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Martha can now know whether Martha is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Melinda","Martha","Marquita"],"index":44446,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989144802,"difficulty":0.0010855198}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Chris knows whether or not nobody is thirsty. It is publicly announced that Stanley does not know whether Brenda is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Thomas can now know that Chris can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Thomas","Stanley","Brenda","Chris"],"index":860,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984177351,"difficulty":0.0015822649}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Arthur does not know whether Karen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Arthur can now know whether Karen can know that Michael is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Karen","Arthur","Michael","Daniel"],"index":22240,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9922415018,"difficulty":0.0077584982}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Lawrence is thirsty. It is publicly announced that Thomas does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether (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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Robert can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["James","Robert","Lawrence","Thomas"],"index":39931,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.630264163,"difficulty":0.369735837}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lucille does not know whether Betty is thirsty. It is publicly announced that Sheila does not know whether Crystal is thirsty. It is publicly announced that Betty knows whether Betty is thirsty. It is publicly announced that Betty knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether (1&2&3&4)) ] (Agenta knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agenta knows whether 1) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Betty can now know that Betty is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Betty","Crystal","Sheila","Lucille"],"index":51146,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.8419784904,"difficulty":1.8419784904}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether Shanell is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] Agentd knows that (Agentc knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Michael can now know that Esteban can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Shanell","Richard","Esteban","Michael"],"index":2105,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984818101,"difficulty":0.0015181899}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christopher does not know whether Ruby is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] Agentb knows whether (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Michael can now know whether Christopher can know that Michael is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Christopher","Michael","Ruby"],"index":63997,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9754188657,"difficulty":0.0245811343}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charmaine is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0","hypothesis":"Charmaine can now know that Charmaine is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Annie","Charmaine","Travis"],"index":41742,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5917797685,"difficulty":1.5917797685}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0","hypothesis":"Peter can now know that George is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Charles","Peter","George","Helen"],"index":5464,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.850910008,"difficulty":0.149089992}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Angela knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] Agentc knows whether (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Mamie can now know whether Angela can know whether Martin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Martin","Angela","Mamie"],"index":15678,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999186933,"difficulty":0.000813067}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Anthony does not know whether Ronald is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Ronald does not know whether Lori is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows that (1&2&3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Anthony can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Lori","Ronald","Anthony"],"index":67524,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9986248016,"difficulty":0.0013751984}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"William can now know whether Charles can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["John","Charles","William"],"index":39814,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997056127,"difficulty":0.0002943873}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Debra knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Anthony can now know whether Anthony is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Anthony","Mila","Debra"],"index":50213,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9951198101,"difficulty":0.0048801899}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gaylene does not know whether or not everyone is thirsty. It is publicly announced that Debra does not know whether Ruth is thirsty. It is publicly announced that Debra does not know whether or not everyone is thirsty. It is publicly announced that Gaylene does not know whether Ruth is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agentc knows whether (1|2|3))","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 (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Ruth can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Gaylene","Debra","Ruth"],"index":63667,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997760653,"difficulty":0.0002239347}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Kenneth does not know whether Mark is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agentc knows whether (Agentb knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Dewey can now know whether Mark can know that Dewey is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Kenneth","Mark","Dewey"],"index":28115,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9194491506,"difficulty":0.0805508494}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jessica knows whether Jessica is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Jessica can now know whether John can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["John","Jessica","Timothy"],"index":18725,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997740388,"difficulty":0.0002259612}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Julius does not know whether Mark is thirsty. It is publicly announced that Mary does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agenta knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Rachel can now know whether Mary is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Rachel","Julius","Mark","Mary"],"index":13005,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9249823689,"difficulty":0.0750176311}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alvina knows whether Ronald is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb: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:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Alvina can now know that Ronald can know whether Ronald is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Alvina","Ronald"],"index":22353,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.99874264,"difficulty":0.00125736}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentc knows that (Agenta knows whether 2)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Dwayne can now know that Benjamin can know whether Harold is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Benjamin","Harold","Dwayne","James"],"index":49031,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9972616434,"difficulty":0.0027383566}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Charles is thirsty. It is publicly announced that Nancy knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! 3 ] [ ! (Agentd knows whether (~(1|2|3|4))) ] Agentd knows whether (Agentc knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! 3 ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Nancy can now know whether Charles can know that Ruth is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jennifer","Ruth","Charles","Nancy"],"index":16906,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9963861704,"difficulty":0.0036138296}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Karyn does not know whether Carla is thirsty. It is publicly announced that Karyn knows whether Karyn is thirsty. It is publicly announced that Carla does not know whether Karyn is thirsty. It is publicly announced that Carolyn does not know whether Karyn is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentc knows whether (1|2|3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Carla can now know that Carolyn can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Carla","Karyn","Carolyn"],"index":41053,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997839332,"difficulty":0.0002160668}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Candice does not know whether Dorothy is thirsty. It is publicly announced that Candice knows whether or not everyone is thirsty. It is publicly announced that Candice does not know whether Regina is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows that (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Candice can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Candice","Dorothy","Regina"],"index":63811,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984657764,"difficulty":0.0015342236}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Harrison does not know whether Charlotte is thirsty. It is publicly announced that Caroline knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (1&2&3&4)) ] Agenta knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Andrew can now know whether Caroline can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Andrew","Caroline","Charlotte","Harrison"],"index":56520,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993937016,"difficulty":0.0006062984}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agentb knows that (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Jennie can now know that Anna can know whether Betty is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Betty","Jennie","Eugene","Anna"],"index":30221,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9918923378,"difficulty":0.0081076622}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ron knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] Agentc knows whether (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"Ron can now know whether Javier can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ned","Javier","Ron"],"index":16232,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995575547,"difficulty":0.0004424453}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentb knows that (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Julio can now know that Ruth can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ruth","Julio","Barbara"],"index":34112,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997476935,"difficulty":0.0002523065}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joyce does not know whether Vicki is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentc knows that (Agentb knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Vicki can now know that Juanita can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joyce","Juanita","Vicki","Daniel"],"index":20044,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997720122,"difficulty":0.0002279878}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jacquelin knows whether or not nobody is thirsty. It is publicly announced that Jacquelin is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(2) ] Agenta knows whether (Agentb knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(2) ] 0","hypothesis":"Wesley can now know whether Jacquelin can know whether Wesley is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Wesley","Jacquelin"],"index":3871,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.998072505,"difficulty":0.001927495}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (Agentc knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0","hypothesis":"Matthew can now know that Lloyd is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Margaret","Michael","Matthew","Lloyd"],"index":51312,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984362721,"difficulty":0.0015637279}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Hope is thirsty. It is publicly announced that William knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] Agentb knows that (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Audrey can now know that William can know that Audrey is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["William","Audrey","Hope","Vanessa"],"index":64066,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9710908532,"difficulty":0.0289091468}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Karen does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agentb knows that (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Alicia can now know that Eric can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Eric","Alicia","Karen"],"index":29942,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980624318,"difficulty":0.0019375682}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cory does not know whether Irma is thirsty. It is publicly announced that Vicente does not know whether Beverly is thirsty. It is publicly announced that Beverly does not know whether Cory is thirsty. It is publicly announced that Cory knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentd knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Beverly can now know whether Cory is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Vicente","Irma","Cory","Beverly"],"index":13451,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8057928085,"difficulty":0.1942071915}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Frances knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Tony can now know that Larry can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Frances","Larry","Tony","Marcus"],"index":57159,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997007847,"difficulty":0.0002992153}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Billy does not know whether David is thirsty. It is publicly announced that John knows whether John is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] (Agenta knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"David can now know whether Billy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["David","John","Billy","Dawn"],"index":15001,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9911876917,"difficulty":0.0088123083}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether Eleanor is thirsty. It is publicly announced that Eleanor does not know whether Paul is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Paul can now know whether Maria can know that Paul is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Maria","Paul","Eleanor","Juan"],"index":57038,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.989251554,"difficulty":0.010748446}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Bertha is thirsty. It is publicly announced that Joyce does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether (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 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Charles can now know that John is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charles","John","Bertha","Joyce"],"index":65611,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9184778333,"difficulty":0.0815221667}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tina does not know whether Erik is thirsty. It is publicly announced that Stephen does not know whether Tina is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Stephen can now know whether Stephen is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Erik","Tina","Stephen"],"index":60871,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986770749,"difficulty":0.0013229251}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Frederick can now know that Christopher can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Christopher","Frederick","Francis","Candy"],"index":44069,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997141957,"difficulty":0.0002858043}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Esther is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] Agenta knows whether (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Terrance can now know whether Esther can know whether Terrance is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Terrance","Esther","Elisa","George"],"index":49273,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9978262782,"difficulty":0.0021737218}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Lesley is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] Agentc knows whether (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Gayle can now know whether Mary can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lesley","Mary","Gayle"],"index":15002,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995019436,"difficulty":0.0004980564}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Annie is thirsty. It is publicly announced that Waylon does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agenta knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Nancy can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Nancy","Annie","Linda","Waylon"],"index":31614,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5853280425,"difficulty":1.5853280425}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mark is not thirsty. It is publicly announced that Mark knows whether Mark is thirsty. It is publicly announced that Mark does not know whether Wayne is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentc knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Mark can now know that Michael can know whether Wayne is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mark","Wayne","Michael"],"index":4000,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8926370144,"difficulty":0.1073629856}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Fannie does not know whether or not everyone is thirsty. It is publicly announced that Fannie knows whether Fannie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] Agentc knows whether (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Jolene can now know whether Fannie can know that Mary is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mary","Fannie","Jolene"],"index":21424,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9931384921,"difficulty":0.0068615079}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] (Agentc knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Bryan can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Pauline","William","Bryan"],"index":20426,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9971513152,"difficulty":0.0028486848}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether or not everyone is thirsty. It is publicly announced that Linda is thirsty. It is publicly announced that Rosemary does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! 3 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (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:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! 3 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Jarrod can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jarrod","Rosemary","Linda","Rose"],"index":64521,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9360585809,"difficulty":1.9360585809}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether Emilee is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentd knows whether (Agentb knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Amanda can now know whether Andres can know that Amanda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Paul","Andres","Emilee","Amanda"],"index":15139,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9648160934,"difficulty":0.0351839066}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Edna can now know whether Mary can know that Mary is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Edna","John","Mary"],"index":15690,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9755858183,"difficulty":0.0244141817}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wynona does not know whether Wayne is thirsty. It is publicly announced that Wynona does not know whether James is thirsty. It is publicly announced that Wynona is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(3) ] (Agentc knows that (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(3) ] 0","hypothesis":"Wynona can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Wayne","James","Wynona"],"index":2738,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985153079,"difficulty":0.0014846921}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matthew does not know whether David is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Matthew can now know that Ralph is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ralph","David","Matthew","Donna"],"index":64839,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982646108,"difficulty":0.0017353892}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pamela is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] 0","hypothesis":"Linda can now know whether Linda is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Pamela","Linda","Virginia","Donald"],"index":45079,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9978801012,"difficulty":0.0021198988}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeannette does not know whether Charles is thirsty. It is publicly announced that Bertha does not know whether Jeannette is thirsty. It is publicly announced that Bertha does not know whether Charles is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agenta knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Charles can now know that Jeannette can know whether Bertha is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jeannette","Bertha","Charles"],"index":22408,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9905784726,"difficulty":0.0094215274}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bryan does not know whether Mark is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agenta knows whether (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Bryan can now know whether Mark can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Bryan","Mark","Arthur"],"index":39436,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994149208,"difficulty":0.0005850792}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Harry does not know whether Danny is thirsty. It is publicly announced that Harry does not know whether or not everyone is thirsty. It is publicly announced that Harry does not know whether or not everyone is thirsty. It is publicly announced that Danny is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 1 ] Agenta knows that (Agentb knows that (~(1|2)))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! 1 ] 0","hypothesis":"Danny can now know that Harry can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Danny","Harry"],"index":58228,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980808496,"difficulty":0.0019191504}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Monique knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] Agentb knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Helen can now know that Bianca can know that Delia is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Delia","Helen","Bianca","Monique"],"index":7002,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985047579,"difficulty":0.0014952421}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Eloise is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(2) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(2) ] 0","hypothesis":"Douglas can now know that Douglas is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Douglas","Eloise"],"index":4185,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9777070284,"difficulty":1.9777070284}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Steven does not know whether or not everyone is thirsty. It is publicly announced that Steven is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] Agentb knows that (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! 2 ] 0","hypothesis":"Steven can now know that Troy can know that Garfield is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Garfield","Steven","Troy"],"index":20309,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5792368054,"difficulty":1.5792368054}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Ramon is thirsty. It is publicly announced that Ramon does not know whether John is thirsty. It is publicly announced that Scott does not know whether or not everyone is thirsty. It is publicly announced that Ramon does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows that (1&2&3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"John can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Ramon","John","Scott"],"index":48835,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9949702621,"difficulty":0.0050297379}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Samuel does not know whether Neal is thirsty. It is publicly announced that Wilbert knows whether Wilbert is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] (Agentd knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Tony can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Neal","Wilbert","Samuel","Tony"],"index":25517,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9891947508,"difficulty":0.0108052492}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Morgan does not know whether Betty is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agenta 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Betty can now know that Shoshana can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Betty","Morgan","Andrea","Shoshana"],"index":16452,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997730851,"difficulty":0.0002269149}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tina does not know whether Heidi is thirsty. It is publicly announced that Arthur does not know whether John is thirsty. It is publicly announced that Arthur does not know whether Heidi is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] (Agentc knows that (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"John can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Arthur","Heidi","John","Tina"],"index":12818,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997782111,"difficulty":0.0002217889}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edward does not know whether Charlotte is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Kristi can now know whether Shannon is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Shannon","Kristi","Charlotte","Edward"],"index":39250,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9963179827,"difficulty":0.0036820173}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jack does not know whether Sarah is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentd knows whether (Agenta knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Jack can now know whether William can know that Jack is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["William","Manuel","Sarah","Jack"],"index":42731,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9950704575,"difficulty":0.0049295425}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy does not know whether Chelsea is thirsty. It is publicly announced that Dorothy does not know whether Chelsea is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Kathy can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Crystal","Chelsea","Kathy","Dorothy"],"index":33372,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9986277819,"difficulty":0.0013722181}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christopher knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agenta knows that (Agentb knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Ida can now know that Christopher can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ida","Christopher","Dorothy","Thomas"],"index":31729,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997469783,"difficulty":0.0002530217}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruby does not know whether Mickey is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agentd knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Mickey can now know that Kenneth can know whether Kenneth is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jose","Ruby","Mickey","Kenneth"],"index":1914,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9903552532,"difficulty":0.0096447468}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Adalberto does not know whether Jennifer is thirsty. It is publicly announced that Adalberto does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (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) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Adalberto can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Adalberto","Jennifer"],"index":36458,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.7585542798,"difficulty":1.7585542798}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas knows whether Thomas is thirsty. It is publicly announced that Lee does not know whether Thomas is thirsty. It is publicly announced that Jeniffer does not know whether Bradley is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] Agentd knows whether (Agentc knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Jeniffer can now know whether Lee can know whether Thomas is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Thomas","Bradley","Lee","Jeniffer"],"index":45899,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984770417,"difficulty":0.0015229583}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Henry knows whether Henry is thirsty. It is publicly announced that Rosie does not know whether Helen is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Rosie can now know that Henry is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Henry","Rosie","Helen"],"index":7058,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9969944954,"difficulty":0.0030055046}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jesse does not know whether Alice is thirsty. It is publicly announced that Melissa does not know whether Jesse is thirsty. It is publicly announced that Melissa does not know whether Alice is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] Agenta knows whether (Agentc knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Jesse can now know whether Alice can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jesse","Melissa","Alice"],"index":65815,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997805953,"difficulty":0.0002194047}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Timothy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] Agenta knows that (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0","hypothesis":"Renate can now know that Timothy can know that Renate is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Renate","Timothy","Kathleen"],"index":26995,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8850822449,"difficulty":0.1149177551}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Samuel does not know whether Theresa is thirsty. It is publicly announced that James does not know whether Samuel is thirsty. It is publicly announced that Samuel does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agenta knows that (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"James can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["James","Samuel","Theresa","Kevin"],"index":38442,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9973965883,"difficulty":0.0026034117}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John knows whether or not everyone is thirsty. It is publicly announced that John knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] 0","hypothesis":"Lillian can now know that John is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Lillian","John"],"index":23444,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.8912635446,"difficulty":1.8912635446}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John knows whether someone is thirsty. It is publicly announced that Cassandra does not know whether John is thirsty. It is publicly announced that Cassandra is thirsty. It is publicly announced that Luis does not know whether John is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 3) ] [ ! 2 ] [ ! ~(Agentd knows whether 3) ] (Agentd knows whether (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 3) ] [ ! 2 ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Luis can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Betsy","Cassandra","John","Luis"],"index":46367,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9453080893,"difficulty":0.0546919107}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christopher knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1|2|3|4)) ] 0","hypothesis":"Dollie can now know that Tamara is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Dollie","Tamara","Keith","Christopher"],"index":28505,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985510707,"difficulty":0.0014489293}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Douglas does not know whether Tony is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Alisha is not thirsty. It is publicly announced that Tony knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] (Agentc knows whether (~(1|2|3|4)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Tony can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Douglas","Alisha","Tony","Jesse"],"index":12410,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997226596,"difficulty":0.0002773404}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0","hypothesis":"Darryl can now know that Darryl is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Michael","Cindy","John","Darryl"],"index":67064,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9935045242,"difficulty":0.0064954758}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Man does not know whether or not everyone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows whether (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Frederick can now know whether James can know whether James is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Frederick","Man","James"],"index":39530,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9982829094,"difficulty":0.0017170906}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"William can now know whether Frank can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["William","Frank","Timmy","Irene"],"index":4617,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9996972084,"difficulty":0.0003027916}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ralph does not know whether John is thirsty. It is publicly announced that John does not know whether Ralph is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agenta knows whether (Agentb knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Sandy can now know whether Ralph can know that John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sandy","Ralph","John","Adam"],"index":13719,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9891428351,"difficulty":0.0108571649}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Walter does not know whether James is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] Agentb knows that (Agentd knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Gayle can now know that Walter can know that Cleo is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Cleo","Gayle","James","Walter"],"index":16217,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982066154,"difficulty":0.0017933846}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentd knows that (Agenta knows whether (1&2&3&4))","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Richard can now know that John can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["John","Jimmie","Minnie","Richard"],"index":59453,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9945703149,"difficulty":0.0054296851}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mattie does not know whether Vernon is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] Agentb knows that (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Joel can now know that Vernon can know whether Mattie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mattie","Joel","Vernon"],"index":15581,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9951475263,"difficulty":0.0048524737}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Adrian is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] Agentd knows that (Agenta knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"William can now know that Christopher can know that William is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Christopher","Mario","Adrian","William"],"index":13832,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9653632641,"difficulty":0.0346367359}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Craig does not know whether Kathryn is thirsty. It is publicly announced that Craig knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] Agentc knows that (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Gary can now know that Kathryn can know that Craig is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Kathryn","Craig","Gary"],"index":67442,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8752559423,"difficulty":0.1247440577}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dyan does not know whether Teri is thirsty. It is publicly announced that Kathleen does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentb knows that (Agentd knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Kathleen can now know that Dyan can know whether Teri is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Teri","Kathleen","Kevin","Dyan"],"index":6581,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8113541603,"difficulty":0.1886458397}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Betty does not know whether Harry is thirsty. It is publicly announced that Doris does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agenta 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Edward can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Doris","Harry","Edward","Betty"],"index":56240,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997736812,"difficulty":0.0002263188}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alice does not know whether or not everyone is thirsty. It is publicly announced that Alice does not know whether Jeffrey is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] (Agentb knows whether 3)","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&2&3)) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Stacey can now know whether Alice is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jeffrey","Stacey","Alice"],"index":5924,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9740472436,"difficulty":0.0259527564}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Dorothy can now know that Jennifer can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dorothy","Jennifer","Joyce"],"index":34322,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997244477,"difficulty":0.0002755523}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jacqueline is not thirsty. It is publicly announced that Amy does not know whether Penny is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] Agentd knows whether (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Jacqueline can now know whether Amy can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Pedro","Penny","Amy","Jacqueline"],"index":13984,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9977216125,"difficulty":0.0022783875}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wendy does not know whether Frances is thirsty. It is publicly announced that Rosemarie does not know whether Frances is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] Agentb knows whether (Agenta knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Wendy can now know whether Tom can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tom","Wendy","Frances","Rosemarie"],"index":10834,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994848967,"difficulty":0.0005151033}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shirley does not know whether James is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] Agentc knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"James can now know whether Roland can know that Roland is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Shirley","Roland","James"],"index":7586,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5807293653,"difficulty":1.5807293653}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (~(1&2)) ] Agentb knows whether (Agenta knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (~(1&2)) ] 0","hypothesis":"Maria can now know whether John can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["John","Maria"],"index":29944,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994313121,"difficulty":0.0005686879}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donald does not know whether Frank is thirsty. It is publicly announced that Frank does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Donald can now know that Frank is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Bessie","Frank","Donald","Sam"],"index":14679,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.7260351777,"difficulty":1.7260351777}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Aubrey does not know whether Shirley is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Shirley knows whether Aubrey is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 2) ] Agenta knows whether (Agentb knows that (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Shirley can now know whether Aubrey can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Shirley","Aubrey"],"index":66808,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993258715,"difficulty":0.0006741285}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marvin does not know whether Thomas is thirsty. It is publicly announced that Scott does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentb knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Carmen can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Marvin","Carmen","Scott","Thomas"],"index":8783,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998232305,"difficulty":0.001767695}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy is thirsty. It is publicly announced that Dorothy is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! 1 ] (Agentb knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! 1 ] 0","hypothesis":"Teresa can now know whether Dorothy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Dorothy","Teresa"],"index":29006,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9928998947,"difficulty":0.0071001053}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tabatha does not know whether or not everyone is thirsty. It is publicly announced that Tabatha does not know whether Johnny is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agentc knows that 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&2&3)) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Paula can now know whether Tabatha can know that Johnny is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Johnny","Paula","Tabatha"],"index":43350,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9912455678,"difficulty":0.0087544322}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Bonnie knows whether Helen is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] (Agenta knows whether (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Helen can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Helen","Bonnie"],"index":37137,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9923747182,"difficulty":0.0076252818}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Ricardo is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] Agentd knows that (Agentb knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Kathy can now know that Ricardo can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Harry","Ricardo","Chad","Kathy"],"index":33284,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998069942,"difficulty":0.001930058}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wendell does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Melissa can now know that Karla can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Wendell","Karla","Melissa","Edward"],"index":8826,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997153878,"difficulty":0.0002846122}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agenta knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Florence can now know that Maria is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Florence","Carlos","Brandon","Maria"],"index":28560,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.5428491831,"difficulty":0.4571508169}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Robert does not know whether Beulah is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Beulah can now know whether Robert is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Beulah","Robert"],"index":29464,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9756469727,"difficulty":0.0243530273}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Leona knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Leona can now know that Leona is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Evelyn","Leona","Jennifer"],"index":3946,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9910982251,"difficulty":0.0089017749}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentb knows whether (Agentd knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Willie can now know whether Sergio can know whether Sergio is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["David","Willie","Lindsey","Sergio"],"index":40481,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9954214692,"difficulty":0.0045785308}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ronnie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] Agentb 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:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Allen can now know whether Seth can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ronnie","Allen","Seth"],"index":18361,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997186065,"difficulty":0.0002813935}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carl does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] Agentc knows that (Agentb knows that 2)","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&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Carl can now know that Roderick can know that Roderick is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jennifer","Roderick","Carl"],"index":31812,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9299849868,"difficulty":0.0700150132}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Arthur knows whether Tiffany is thirsty. It is publicly announced that Tiffany is thirsty. It is publicly announced that Tiffany knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb 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 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Tiffany can now know whether Arthur can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Arthur","Tiffany"],"index":53486,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997785687,"difficulty":0.0002214313}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carlos knows whether someone is thirsty. It is publicly announced that Charles knows whether or not nobody is thirsty. It is publicly announced that Carole knows whether Carole is thirsty. It is publicly announced that Charles does not know whether Carlos is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] (Agenta knows that 4)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Carlos can now know that Phyllis is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Carlos","Carole","Charles","Phyllis"],"index":623,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9970378876,"difficulty":0.0029621124}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jessica knows whether Jessica is thirsty. It is publicly announced that Jessica does not know whether George is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether 1) ] Agenta knows that (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"George can now know that Jessica can know whether Jessica is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["George","Jessica"],"index":52345,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991698265,"difficulty":0.0008301735}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"David can now know whether David is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["David","Elizabeth","Xavier","Scott"],"index":456,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990736246,"difficulty":0.0009263754}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marvin knows whether Marvin is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 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:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Henry can now know whether Marvin can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Kay","Marvin","Henry"],"index":61544,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7333520651,"difficulty":0.2666479349}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Willie knows whether Willie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Willie can now know whether Gary can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Gary","Willie","Antone"],"index":64600,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997091889,"difficulty":0.0002908111}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeanine knows whether someone is thirsty. It is publicly announced that Joel does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1&2) ] Agenta knows that (Agentb knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Jeanine can now know that Joel can know whether Jeanine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jeanine","Joel"],"index":18130,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9888355136,"difficulty":0.0111644864}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Joseph can now know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Mary","Catherine","Joseph","Reginald"],"index":3084,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9977262616,"difficulty":0.0022737384}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb: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:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (~(1&2)) ] 0","hypothesis":"Monique can now know whether Theresa can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Monique","Theresa"],"index":57054,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9459977746,"difficulty":0.0540022254}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether Deborah is thirsty. It is publicly announced that Victor does not know whether Deborah is thirsty. It is publicly announced that Michael does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (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:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Victor can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Victor","Michael","Deborah","Joseph"],"index":18466,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997186065,"difficulty":0.0002813935}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marjorie is not thirsty. It is publicly announced that Helen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! 1 ] Agentd knows whether (Agenta knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! 1 ] 0","hypothesis":"Marjorie can now know whether Helen can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Helen","Earnest","Charles","Marjorie"],"index":43808,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9963046312,"difficulty":0.0036953688}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregory knows whether someone is thirsty. It is publicly announced that Gregory does not know whether Michael is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agenta knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Gregory can now know whether Michael can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Michael","Gregory"],"index":58378,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997834563,"difficulty":0.0002165437}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Devon does not know whether Ronnie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agenta 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Elizabeth can now know whether Devon can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Elizabeth","Devon","Ronnie"],"index":5334,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7735514045,"difficulty":0.2264485955}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kyle does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentd knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Kyle can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ronnie","Sherie","Bethanie","Kyle"],"index":38206,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.6474044919,"difficulty":1.6474044919}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kirsten does not know whether Keith is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! (1|2) ] Agenta knows that (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! (1|2) ] 0","hypothesis":"Kirsten can now know that Keith can know that Kirsten is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Kirsten","Keith"],"index":17881,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9919449687,"difficulty":1.9919449687}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bertha does not know whether James is thirsty. It is publicly announced that Penny is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] Agentd knows that (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] 0","hypothesis":"Ricky can now know that James can know whether Bertha is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["James","Bertha","Penny","Ricky"],"index":38263,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9948239326,"difficulty":0.0051760674}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kevin knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Troy can now know that Lolita is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Troy","Kevin","Lolita"],"index":60580,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9883893728,"difficulty":0.0116106272}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeff knows whether or not nobody is thirsty. It is publicly announced that Jeff knows whether Jeff is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agentb knows whether 2) ] Agenta knows that (Agentb knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Kenneth can now know that Jeff can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Kenneth","Jeff"],"index":36069,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9986370206,"difficulty":0.0013629794}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether or not everyone is thirsty. It is publicly announced that Robert knows whether Mary is thirsty. It is publicly announced that Robert is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] Agenta knows whether (Agentb knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether 2) ] [ ! ~(1) ] 0","hypothesis":"Robert can now know whether Mary can know that Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Robert","Mary"],"index":15049,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9930019975,"difficulty":0.0069980025}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tony does not know whether Nancy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Nancy can now know that Tara can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tony","Tara","Nancy","Dawna"],"index":16446,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999774158,"difficulty":0.000225842}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alberto is thirsty. It is publicly announced that Stella knows whether Stella is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! (Agenta knows whether 1) ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Jules can now know that Stella is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Stella","David","Jules","Alberto"],"index":12208,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8283897638,"difficulty":0.1716102362}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carol does not know whether Jessica is thirsty. It is publicly announced that Carol does not know whether Catherine is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] Agentb knows that (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Carol can now know that Jessica can know that Jessica is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jessica","Carol","Catherine"],"index":43089,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9647224545,"difficulty":0.0352775455}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 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 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Brent can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Brent","Rocky"],"index":63760,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997776151,"difficulty":0.0002223849}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] (Agentc knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (~(1|2|3|4))) ] 0","hypothesis":"Thomas can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Patricia","Lisa","Thomas","John"],"index":1567,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985716343,"difficulty":0.0014283657}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Adam can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Adam","Richard","Mary","Christian"],"index":9698,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983238578,"difficulty":0.0016761422}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lynetta does not know whether Archie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentd knows that (Agentc knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Rena can now know that Stephen can know whether Rena is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Archie","Lynetta","Stephen","Rena"],"index":62554,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9976680875,"difficulty":0.0023319125}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elizabeth is thirsty. It is publicly announced that Kevin knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentc knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether (~(1|2|3))) ] 0","hypothesis":"Elizabeth can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Kevin","Eloisa","Elizabeth"],"index":49247,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997201562,"difficulty":0.0002798438}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Susan does not know whether or not everyone is thirsty. It is publicly announced that Susan does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows that (Agenta knows that (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Susan can now know that Omar can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Omar","Susan"],"index":43225,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9975883961,"difficulty":0.0024116039}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeannie knows whether Jeannie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] Agentc knows that (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Judy can now know that Jeannie can know whether Judy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jeannie","Richard","Judy"],"index":14396,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.992770493,"difficulty":0.007229507}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robin does not know whether Sammy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Frederick can now know whether Robin can know that Robin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Frederick","Robin","Sammy"],"index":40879,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9699617028,"difficulty":1.9699617028}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Erma does not know whether Lisa is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] 0","hypothesis":"Erma can now know that Lisa is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lisa","Reva","Erma","Alyssa"],"index":39527,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9977945089,"difficulty":0.0022054911}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helen does not know whether Andrew is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agentc knows whether (Agentb knows that (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Lesley can now know whether Helen can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Andrew","Helen","Lesley"],"index":35921,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9975625277,"difficulty":0.0024374723}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Zoila does not know whether or not everyone is thirsty. It is publicly announced that Timothy knows whether someone is thirsty. It is publicly announced that Gloria does not know whether Timothy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Zoila can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Timothy","Gloria","Zoila"],"index":34644,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997765422,"difficulty":0.0002234578}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Jane knows whether Darryl is thirsty.","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 that 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":"Jane can now know that Darryl can know that Jane is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Jane","Darryl"],"index":48965,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9823300242,"difficulty":0.0176699758}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Laura does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"Laura can now know that Hazel is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Francisco","Hazel","Laura","Thomas"],"index":57352,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8991549611,"difficulty":0.1008450389}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Larry does not know whether Morgan is thirsty. It is publicly announced that Larry does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Marjorie can now know whether Morgan can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Larry","Morgan","Marjorie"],"index":30431,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9996979237,"difficulty":0.0003020763}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] Agentb knows that (Agentd knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0","hypothesis":"Henry can now know that Lisa can know that Henry is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["John","Henry","Norma","Lisa"],"index":39762,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984258413,"difficulty":0.0015741587}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Karen knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agenta knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Helen can now know that Deborah is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Helen","Karen","Deborah","Paul"],"index":21231,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985420704,"difficulty":0.0014579296}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cheryl does not know whether Ryan is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentd knows that (Agentb knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Ryan can now know that Cheryl can know whether Brandy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Sylvester","Cheryl","Brandy","Ryan"],"index":19933,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9979727864,"difficulty":0.0020272136}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melissa does not know whether or not everyone is thirsty. It is publicly announced that Melissa knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (~(1|2))) ] (Agentb knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Melissa can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Miguel","Melissa"],"index":3634,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9946973324,"difficulty":0.0053026676}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jesse does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Jesse can now know that Kenneth is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jesse","Kenneth","Gregory","Bernard"],"index":44834,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.954026401,"difficulty":0.045973599}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nora does not know whether or not everyone is thirsty. It is publicly announced that Nora does not know whether Julio is thirsty. It is publicly announced that Rick knows whether Rick is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 1) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Rick can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Rick","Milton","Julio","Nora"],"index":1750,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983702302,"difficulty":0.0016297698}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Pablo does not know whether or not everyone is thirsty. It is publicly announced that James knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Ethel can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Pablo","Ethel","James","Bobby"],"index":54094,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997754693,"difficulty":0.0002245307}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentb knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Theresa can now know that Timothy can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Timothy","Theresa","Ralph","Gary"],"index":54857,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9996829033,"difficulty":0.0003170967}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Katrina does not know whether Steven is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (1&2&3) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (1&2&3) ] 0","hypothesis":"Katrina can now know that Katrina is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Steven","Katrina","Chase"],"index":34115,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9970340729,"difficulty":0.0029659271}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donald knows whether Christine is thirsty. It is publicly announced that Donald knows whether Christine is thirsty. It is publicly announced that Christine knows whether Donald is thirsty. It is publicly announced that Donald knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 1) ] [ ! (Agenta knows whether (1|2)) ] Agenta knows whether (Agentb knows that (1|2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] [ ! (Agentb knows whether 1) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Donald can now know whether Christine can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Donald","Christine"],"index":67290,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997882247,"difficulty":0.0002117753}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clayton does not know whether Jeffery is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Yesenia can now know whether Clayton can know whether Clayton is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jeffery","Clayton","Yesenia","Shera"],"index":12995,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989690781,"difficulty":0.0010309219}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gordon knows whether Gordon is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Gordon can now know that Kevin can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Danielle","Kevin","Gordon"],"index":52807,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998441875,"difficulty":0.001558125}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maxine does not know whether Robert is thirsty. It is publicly announced that Tessa does not know whether Maxine is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agenta knows whether (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Tessa can now know whether Maxine can know that Maxine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Tessa","Maxine","Robert"],"index":5391,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9266935587,"difficulty":1.9266935587}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether or not everyone is thirsty. It is publicly announced that Donald knows whether David is thirsty. It is publicly announced that Donald does not know whether Chris is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] Agenta knows that (Agentb knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Daniel can now know that David can know whether Donald is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Daniel","David","Donald","Chris"],"index":39202,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7806939483,"difficulty":0.2193060517}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Janet does not know whether Hellen is thirsty. It is publicly announced that Hellen knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] (Agentb knows that (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Hellen can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Joshua","Hellen","Janet"],"index":7904,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984903336,"difficulty":0.0015096664}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary knows whether someone is thirsty. It is publicly announced that Jimmy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 3 ] Agentc knows whether (Agentb knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! 3 ] 0","hypothesis":"Jimmy can now know whether Mary can know that Jimmy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Cesar","Mary","Jimmy"],"index":9074,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9849354029,"difficulty":0.0150645971}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rosetta does not know whether Jack is thirsty. It is publicly announced that Vernell does not know whether Jack is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] (Agentc knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Rosetta can now know whether Jack is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Vernell","Jack","Rosetta","Hazel"],"index":9848,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9885441661,"difficulty":0.0114558339}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ronald knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentb knows whether (Agenta knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Virginia can now know whether Ronald can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ronald","Virginia","Barry","Dagmar"],"index":45060,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9973592162,"difficulty":0.0026407838}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janice does not know whether Mary is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Dale can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Dale","Janice","Mary"],"index":38192,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997711778,"difficulty":0.0002288222}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Arlene is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"James can now know that Arlene is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["James","Arlene","Nancy"],"index":64747,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982555509,"difficulty":0.0017444491}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gerald does not know whether Jasper is thirsty. It is publicly announced that Kathy does not know whether Jasper is thirsty. It is publicly announced that Kathy knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentd knows whether (1&2&3&4)) ] (Agentb knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Edward can now know whether Kathy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Gerald","Edward","Jasper","Kathy"],"index":43028,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.945201993,"difficulty":0.054798007}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 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 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Joshua can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Joshua","Debra"],"index":7272,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9945253134,"difficulty":0.0054746866}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Roy is thirsty. It is publicly announced that Roy is thirsty. It is publicly announced that Roy knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3))) ] Agenta knows whether (Agentb knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Mary can now know whether Roy can know whether Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mary","Roy","Robert"],"index":13867,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9983167648,"difficulty":0.0016832352}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sandra is thirsty. It is publicly announced that Thaddeus does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentb knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Thaddeus can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Sandra","Thaddeus","Jimmy","Terri"],"index":10372,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967058301,"difficulty":0.0032941699}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether William is thirsty. It is publicly announced that Mario does not know whether or not everyone is thirsty. It is publicly announced that George does not know whether Lynne is thirsty. It is publicly announced that William knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentd knows whether (Agenta knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agentb knows whether 4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Lynne can now know whether William can know whether Mario is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["William","George","Mario","Lynne"],"index":49204,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9980916381,"difficulty":0.0019083619}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randy knows whether someone is thirsty.","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":"Dale can now know that Randy can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Dale","Randy"],"index":62844,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9996727705,"difficulty":0.0003272295}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara does not know whether Dewayne is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (1|2|3|4) ] Agentb 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 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (1|2|3|4) ] 0","hypothesis":"Dewayne can now know that Calvin can know that Ella is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Calvin","Dewayne","Ella","Barbara"],"index":47344,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9979019165,"difficulty":0.0020980835}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James is not thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (1|2|3|4) ] Agentb knows that (Agentd knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (1|2|3|4) ] 0","hypothesis":"James can now know that Frank can know whether Frank is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Allen","James","Myra","Frank"],"index":47432,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9969033599,"difficulty":0.0030966401}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Jean is thirsty. It is publicly announced that Charla does not know whether James is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3)) ] Agenta knows whether (Agentc knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Jean can now know whether James can know that James is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jean","Charla","James"],"index":41648,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.8761732578,"difficulty":1.8761732578}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] Agentb knows that (Agentc knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Robert can now know that Doug can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Florence","Robert","Doug"],"index":25914,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983810186,"difficulty":0.0016189814}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Frankie does not know whether Larry is thirsty. It is publicly announced that Larry does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Frankie can now know whether Frankie is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Angelica","Larry","Frankie","Charles"],"index":66447,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991040826,"difficulty":0.0008959174}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether Renee is thirsty. It is publicly announced that Renee does not know whether Joseph is thirsty.","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 3) ] (Agenta knows whether 3)","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 3) ] 0","hypothesis":"Renee can now know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Renee","Michael","Joseph"],"index":43359,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9816840291,"difficulty":0.0183159709}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Benjamin can now know that Johnnie can know that Benjamin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Lillian","Benjamin","Johnnie","Mary"],"index":16198,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985620379,"difficulty":0.0014379621}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christa does not know whether Gregory is thirsty. It is publicly announced that Christa does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Sharan can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Christa","Sharan","Gregory"],"index":24563,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982045889,"difficulty":0.0017954111}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tina does not know whether Calvin is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] (Agentb knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Joellen can now know that Susan is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Calvin","Joellen","Tina","Susan"],"index":25350,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983038902,"difficulty":0.0016961098}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Susan is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agentc knows whether (Agentd knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0","hypothesis":"Susan can now know whether Roy can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kenneth","Barbara","Susan","Roy"],"index":3765,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.5025337338,"difficulty":1.5025337338}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patrick does not know whether Mary is thirsty. It is publicly announced that Michael knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentd knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Patrick can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Michael","William","Patrick"],"index":58771,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997225821,"difficulty":0.002774179}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Benjamin does not know whether Richard is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1&2&3&4) ] Agentc knows that (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Luther can now know that Richard can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Benjamin","Thomas","Luther","Richard"],"index":42401,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9917318225,"difficulty":0.0082681775}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert knows whether Amanda is thirsty. It is publicly announced that Robert knows whether Amanda is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] (Agentb knows whether (~(1|2)))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Amanda can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Robert","Amanda"],"index":3232,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9997233748,"difficulty":0.0002766252}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carlos does not know whether or not everyone is thirsty. It is publicly announced that William knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 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:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! (Agentb knows whether (1&2)) ] 0","hypothesis":"Carlos can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Carlos","William"],"index":23565,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998190105,"difficulty":0.001809895}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dee does not know whether Soon is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Walter can now know that Dee is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Soon","Walter","Dee"],"index":25926,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9977837205,"difficulty":0.0022162795}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mariana does not know whether James is thirsty. It is publicly announced that Sylvia does not know whether Melanie is thirsty. It is publicly announced that Mariana does not know whether Sylvia is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether 1) ] Agentb knows whether (Agentd knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Melanie can now know whether Mariana can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sylvia","Melanie","James","Mariana"],"index":63632,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9959141612,"difficulty":0.0040858388}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Linda can now know whether Stephanie can know that Stephanie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Linda","Phillip","Stephanie"],"index":57602,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.898001194,"difficulty":0.101998806}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas is thirsty. It is publicly announced that Juanita knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentb knows whether (~(1|2|3))) ] Agentc knows that (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Thomas can now know that Juanita can know whether Juanita is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Donald","Juanita","Thomas"],"index":23534,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9873235822,"difficulty":0.0126764178}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeremiah does not know whether or not everyone is thirsty. It is publicly announced that Jeremiah knows whether Jeremiah is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] Agentc knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"David can now know whether Sandra can know that Jeremiah is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Sandra","Jeremiah","David"],"index":48710,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9903304577,"difficulty":0.0096695423}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Samuel is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] Agentc knows whether (Agentb knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Samuel can now know whether Hannah can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Marjorie","Hannah","Samuel"],"index":44686,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993459582,"difficulty":0.0006540418}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marta does not know whether Trevor is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Christine does not know whether Marta is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentc knows whether 4) ] (Agentc knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Christine can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Trevor","Adolph","Christine","Marta"],"index":32403,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9965928197,"difficulty":0.0034071803}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James knows whether or not nobody is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (1|2) ] Agentb knows that (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! (1|2) ] 0","hypothesis":"Samuel can now know that James can know that James is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["James","Samuel"],"index":34356,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9830758572,"difficulty":0.0169241428}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tom does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Joseph can now know whether Tom is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Tom","Joseph","Patricia"],"index":60692,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.975238204,"difficulty":0.024761796}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeffrey does not know whether Donald is thirsty. It is publicly announced that Donald does not know whether or not everyone is thirsty. It is publicly announced that everyone is thirsty.","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 (1&2&3)) ] [ ! (1&2&3) ] Agentb knows that (Agentc knows that 1)","n_announcements":3,"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 (1&2&3)) ] [ ! (1&2&3) ] 0","hypothesis":"Cynthia can now know that Jeffrey can know that Donald is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Donald","Cynthia","Jeffrey"],"index":55301,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9912419319,"difficulty":0.0087580681}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melissa does not know whether Don is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1&2) ] Agenta knows that (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1&2) ] 0","hypothesis":"Don can now know that Melissa can know that Melissa is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Don","Melissa"],"index":21188,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9933634996,"difficulty":0.0066365004}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Joy can now know that Alicia can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Corey","Joy","Alicia","Armida"],"index":19154,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988889098,"difficulty":0.0011110902}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Viola is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Greta can now know that Greta is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Viola","Grace","Cory","Greta"],"index":30786,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9894382358,"difficulty":0.0105617642}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Flora is thirsty. It is publicly announced that Warren does not know whether Flora is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether 4) ] (Agentd knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Flora can now know that Flora is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Rosemary","Warren","Flora"],"index":28497,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9634153843,"difficulty":0.0365846157}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joe is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! (1|2|3) ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! (1|2|3) ] 0","hypothesis":"Jean can now know whether Jean is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Joe","Harold","Jean"],"index":19162,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986999035,"difficulty":0.0013000965}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rosa does not know whether Roy is thirsty. It is publicly announced that Marry is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! 2 ] (Agentb knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! 2 ] 0","hypothesis":"Marry can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Bruce","Marry","Rosa","Roy"],"index":57248,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995032549,"difficulty":0.0004967451}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Monica is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] (Agentd knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] 0","hypothesis":"Monica can now know that Lynette is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lynette","Robert","Laurence","Monica"],"index":16774,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9962800145,"difficulty":0.0037199855}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mark does not know whether Kattie is thirsty. It is publicly announced that Kattie knows whether Kattie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether 3) ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Kattie can now know whether Kattie is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Mark","Jared","Kattie"],"index":55830,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9967335463,"difficulty":0.0032664537}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edward knows whether someone is thirsty.","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)))","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":"Edward can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Edward","Darrell"],"index":19206,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993240833,"difficulty":0.0006759167}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret knows whether or not nobody is thirsty. It is publicly announced that Cynthia does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether (1|2|3))","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|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Cynthia can now know whether Fernando can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Fernando","Cynthia","Margaret"],"index":21173,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994592071,"difficulty":0.0005407929}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Reynaldo does not know whether Logan is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agenta knows that (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Reynaldo can now know that Darryl can know that Logan is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Reynaldo","David","Logan","Darryl"],"index":57361,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9975278974,"difficulty":0.0024721026}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jean knows whether someone is thirsty. It is publicly announced that Jeana knows whether Jeana is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether 1) ] Agentb knows that (Agenta knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Jean can now know that Jeana can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Jeana","Jean"],"index":36754,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988805652,"difficulty":0.0011194348}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George does not know whether Terry is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (1|2|3|4) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! (1|2|3|4) ] 0","hypothesis":"George can now know whether George is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Theodore","George","Rita","Terry"],"index":47072,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9970431924,"difficulty":0.0029568076}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dwayne knows whether or not everyone is thirsty. It is publicly announced that Jessica is not thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(1) ] [ ! (1|2|3) ] (Agenta knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(1) ] [ ! (1|2|3) ] 0","hypothesis":"Jessica can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Jessica","Dwayne","Gloria"],"index":27333,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995112419,"difficulty":0.0004887581}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Susan does not know whether Guadalupe is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Leona can now know whether Susan can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Leona","Susan","Guadalupe"],"index":42059,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9967088699,"difficulty":0.0032911301}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Norma does not know whether Keith is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Norma can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Norma","Pamela","Keith"],"index":25884,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994415641,"difficulty":0.0005584359}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agentd knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Christopher can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Jamie","Sylvia","Bruce","Christopher"],"index":30522,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994530082,"difficulty":0.0005469918}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Berry does not know whether Ethel is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Eileen does not know whether Ethel is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] (Agentd knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Eileen can now know that Ethel is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ethel","Berry","Rose","Eileen"],"index":20407,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9969553947,"difficulty":0.0030446053}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Carl is thirsty. It is publicly announced that Guadalupe knows whether someone is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty. It is publicly announced that Martha does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentb knows whether (Agentd knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"John can now know whether Martha can know that Guadalupe is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Guadalupe","John","Carl","Martha"],"index":8673,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9832693338,"difficulty":0.0167306662}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Genevieve is thirsty. It is publicly announced that John does not know whether Mike is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] Agentd knows that (Agentb knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Mike can now know that Genevieve can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["John","Genevieve","Margaret","Mike"],"index":41255,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989842772,"difficulty":0.0010157228}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Buddy knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Michelle can now know that Buddy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Billy","Buddy","Michelle","Lauren"],"index":65693,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9974281192,"difficulty":0.0025718808}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Timothy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] (Agentd knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Mark can now know whether Raymond is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Robert","Raymond","Timothy","Mark"],"index":19331,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9973096848,"difficulty":0.0026903152}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara does not know whether Louis is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agenta knows whether (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Louis can now know whether Clara can know that Clara is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Louis","Barbara","Lorraine","Clara"],"index":18067,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9889233112,"difficulty":0.0110766888}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alejandro does not know whether Terrence is thirsty. It is publicly announced that Nathan knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentd knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Terrence can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Alejandro","Nathan","Vera","Terrence"],"index":39491,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9959640503,"difficulty":0.0040359497}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Trudi is thirsty. It is publicly announced that Doris does not know whether John is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentd knows whether 3) ] Agenta knows whether (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"David can now know whether Doris can know that John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["David","Trudi","John","Doris"],"index":16470,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9937700629,"difficulty":0.0062299371}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Micaela does not know whether Emily is thirsty. It is publicly announced that Micaela knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Emily can now know that Micaela can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Emily","Micaela","Jasper"],"index":54523,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995093346,"difficulty":0.0004906654}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maurice does not know whether Mitchell is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agentb knows whether (Agentc knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Marcy can now know whether Maurice can know that Marcy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Mitchell","Marcy","Maurice","Richard"],"index":1977,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9764816165,"difficulty":0.0235183835}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Yvonne does not know whether Lillian is thirsty. It is publicly announced that Alan does not know whether Lillian is thirsty. It is publicly announced that Alan knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] Agenta knows whether (Agentb knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Lillian can now know whether Yvonne can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Lillian","Yvonne","Alan"],"index":51149,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993870258,"difficulty":0.0006129742}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Teresa does not know whether Michael is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Michael knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agentc knows that (Agenta knows whether (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Teresa can now know that Michael can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Michael","Jennie","Teresa"],"index":512,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.8879603744,"difficulty":0.1120396256}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Letha is not thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (~(1&2&3)) ] Agentb knows that (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Devin can now know that Letha can know that Letha is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Letha","Devin","Joycelyn"],"index":41441,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.924038291,"difficulty":0.075961709}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lucille knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta 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:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Ann can now know that Lucille can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Lucille","Ann"],"index":10354,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989834428,"difficulty":0.0010165572}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Derrick does not know whether Cynthia is thirsty. It is publicly announced that Margaret is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] Agentd knows whether (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! 3 ] 0","hypothesis":"Joseph can now know whether Margaret can know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Cynthia","Derrick","Margaret","Joseph"],"index":2436,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989596605,"difficulty":0.0010403395}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margie does not know whether Scott is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] Agentb 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Andrea can now know whether Margie can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Scott","Andrea","Margie"],"index":31503,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9934270382,"difficulty":0.0065729618}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Randall does not know whether Arianne is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] Agentb knows whether (Agentc knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Randall can now know whether Michael can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Arianne","Randall","Michael"],"index":13079,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993931055,"difficulty":0.0006068945}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gloria is thirsty. It is publicly announced that Marilyn does not know whether Marianne is thirsty. It is publicly announced that Marilyn does not know whether Evelyn is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Gloria can now know that Marianne can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Marilyn","Evelyn","Marianne","Gloria"],"index":48777,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.996516943,"difficulty":0.003483057}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Delbert does not know whether or not everyone is thirsty. It is publicly announced that Clara does not know whether Daisy is thirsty. It is publicly announced that Clara does not know whether or not everyone is thirsty. It is publicly announced that Delbert does not know whether Daisy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agentc knows that 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 (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Daisy can now know that Clara is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Delbert","Clara","Daisy"],"index":40189,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9876547456,"difficulty":1.9876547456}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mike is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agenta knows whether (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Mike can now know whether Jodi can know whether Mike is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Mike","Manuel","Ruben","Jodi"],"index":48402,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991059899,"difficulty":0.0008940101}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sara is not thirsty. It is publicly announced that James is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] 0","hypothesis":"Robert can now know that Joseph is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Robert","Joseph","Sara","James"],"index":5965,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9976010919,"difficulty":0.0023989081}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] Agentb knows whether (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":"Deborah can now know whether Robert can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Robert","Deborah"],"index":23522,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984361529,"difficulty":0.0015638471}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wayne does not know whether Frank is thirsty. It is publicly announced that Frank does not know whether Brian is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentc knows whether 4) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Wayne can now know whether Wayne is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Wayne","Andrew","Frank","Brian"],"index":9052,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9701393843,"difficulty":0.0298606157}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Corina is not thirsty. It is publicly announced that Corina knows whether Corina is thirsty. It is publicly announced that Corina does not know whether Ruth is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Jacob can now know whether Ruth can know whether Ruth is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Corina","Ruth","Jacob"],"index":36721,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9986201525,"difficulty":0.0013798475}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jonathan does not know whether or not everyone is thirsty. It is publicly announced that Jonathan does not know whether Brittany is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether 2) ] Agentd knows whether (Agenta knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Daniel can now know whether Jonathan can know that Daniel is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jonathan","Brittany","Wayne","Daniel"],"index":59175,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9780666828,"difficulty":0.0219333172}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Chuck is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Kimberly can now know whether Edward can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","Kimberly","Edward","Chuck"],"index":4307,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993853569,"difficulty":0.0006146431}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alexandra does not know whether Mark is thirsty. It is publicly announced that Mark knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether (1|2)) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether (1|2)) ] 0","hypothesis":"Alexandra can now know whether Alexandra is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Mark","Alexandra"],"index":7513,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9963266253,"difficulty":0.0036733747}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Roger does not know whether Francisco is thirsty. It is publicly announced that Roger knows whether or not nobody is thirsty. It is publicly announced that Roger does not know whether Joanna is thirsty. It is publicly announced that Roger does not know whether Joanna is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 1) ] (Agentc knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Roger can now know that Joanna is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Joanna","Francisco","Roger","Pricilla"],"index":56462,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9944406152,"difficulty":0.0055593848}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia is thirsty. It is publicly announced that Patricia does not know whether or not everyone is thirsty. It is publicly announced that Patricia does not know whether or not everyone is thirsty. It is publicly announced that Leon does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agentb 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) ] [ ! 2 ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Patricia can now know whether Patricia is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Bobby","Patricia","Leon"],"index":48477,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9976014495,"difficulty":0.0023985505}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sharon does not know whether Patsy is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1&2) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1&2) ] 0","hypothesis":"Sharon can now know whether Patsy can know that Sharon is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Patsy","Sharon"],"index":32958,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9821451902,"difficulty":0.0178548098}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carole does not know whether or not everyone is thirsty. It is publicly announced that Carole does not know whether Bertha is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] Agentc knows whether (Agentb knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Maria can now know whether Bertha can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Carole","Bertha","Maria"],"index":49295,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992087483,"difficulty":0.0007912517}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Matt is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 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 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0","hypothesis":"Wayne can now know that Matt can know whether Matt is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Wayne","Matt"],"index":15823,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984899759,"difficulty":0.0015100241}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruby does not know whether or not everyone is thirsty. It is publicly announced that Carol does not know whether Cathryn is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentc knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Ruby can now know that Carol can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ruby","Cathryn","Carol"],"index":7137,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994584918,"difficulty":0.0005415082}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Irene is not thirsty. It is publicly announced that Christy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] Agenta knows whether (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] 0","hypothesis":"Linda can now know whether Irene can know that Irene is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Linda","Michael","Irene","Christy"],"index":13789,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9956947565,"difficulty":0.0043052435}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Louis knows whether Louis is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] Agentd knows whether (Agentc knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] 0","hypothesis":"Louis can now know whether Kevin can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Albert","Marie","Kevin","Louis"],"index":40533,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999479115,"difficulty":0.000520885}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nora does not know whether Kristen is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agentb knows that (Agentc knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Nora can now know that Quentin can know whether Quentin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Kristen","Nora","Quentin"],"index":62448,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.8363243937,"difficulty":1.8363243937}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Kathleen knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] Agenta knows that (Agentb knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Linda can now know that Kathleen can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Linda","Kathleen"],"index":43936,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993816614,"difficulty":0.0006183386}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donald does not know whether Davida is thirsty. It is publicly announced that David does not know whether Donald is thirsty. It is publicly announced that Donald does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentc knows that (Agentb knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Davida can now know that Caterina can know whether David is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Donald","Caterina","Davida","David"],"index":4486,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9400128722,"difficulty":1.9400128722}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sharon does not know whether Michael is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] Agenta knows that (Agentb knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Michael can now know that Sharon can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Michael","Sharon"],"index":28899,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994396567,"difficulty":0.0005603433}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anthony does not know whether Kathleen is thirsty. It is publicly announced that Kathleen does not know whether Anthony is thirsty. It is publicly announced that Anthony is thirsty. It is publicly announced that Terri does not know whether Kathleen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] [ ! ~(Agentc knows whether 2) ] (Agentd knows whether (1|2|3|4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] [ ! 1 ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Shirley can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Anthony","Kathleen","Terri","Shirley"],"index":58306,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994816184,"difficulty":0.0005183816}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sarina knows whether or not nobody is thirsty. It is publicly announced that Sarina does not know whether Hortencia is thirsty. It is publicly announced that Pam does not know whether or not everyone is thirsty. It is publicly announced that Sarina does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows whether (Agenta knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Pam can now know whether Hortencia can know that Sarina is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Hortencia","Sarina","Pam"],"index":56061,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9511682987,"difficulty":0.0488317013}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diana does not know whether Christal is thirsty. It is publicly announced that Diana does not know whether or not everyone is thirsty. It is publicly announced that Diana does not know whether Christal is thirsty. It is publicly announced that Christal knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1|2)) ] Agentb knows whether (Agenta knows that (~(1|2)))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"Christal can now know whether Diana can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Diana","Christal"],"index":60226,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999317646,"difficulty":0.000682354}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dexter does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentc knows whether (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Barbara can now know whether Ellyn can know that Barbara is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Dexter","Richard","Barbara","Ellyn"],"index":2188,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9744935632,"difficulty":0.0255064368}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Amy is not thirsty. It is publicly announced that Amy is not thirsty. It is publicly announced that Irene does not know whether Anya is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] Agentc knows that (Agentd knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Steven can now know that Amy can know that Anya is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Anya","Irene","Steven","Amy"],"index":6281,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9875534773,"difficulty":0.0124465227}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margret does not know whether or not everyone is thirsty. It is publicly announced that John knows whether John is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] [ ! (~(1&2&3&4)) ] (Agenta knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentb knows whether 2) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Margret can now know whether Margret is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Margret","John","Erica","Agnes"],"index":40172,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984329343,"difficulty":0.0015670657}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Diane is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentc knows that (Agentd knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Scott can now know that Diane can know that Mary is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Mary","Robert","Scott","Diane"],"index":47957,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9909098744,"difficulty":0.0090901256}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregory does not know whether Tyler is thirsty. It is publicly announced that Gregory knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether (1&2&3)) ] Agentc knows that (Agenta knows that (1|2|3))","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) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Gregory can now know that Tyler can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Tyler","Steven","Gregory"],"index":17115,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995037317,"difficulty":0.0004962683}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Phyllis is thirsty. It is publicly announced that Guadalupe does not know whether Teresa is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] Agentb knows that (Agentd knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Phyllis can now know that Teresa can know whether Guadalupe is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Guadalupe","Phyllis","John","Teresa"],"index":17874,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9954628348,"difficulty":0.0045371652}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Douglas is not thirsty. It is publicly announced that Robert is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! 4 ] 0","hypothesis":"Douglas can now know that Monroe is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Monroe","Camilla","Douglas","Robert"],"index":22795,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9963515997,"difficulty":0.0036484003}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas is thirsty. It is publicly announced that Thomas does not know whether Nelly is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Thomas can now know that Nelly can know whether Nelly is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Thomas","Nelly"],"index":54255,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9637075663,"difficulty":0.0362924337}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sandra does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agenta knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Mary can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","William","Raul","Sandra"],"index":44330,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990517497,"difficulty":0.0009482503}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Omega knows whether Omega is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] Agentb knows whether (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Aaron can now know whether Omega can know that Aaron is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Catherine","Aaron","Omega"],"index":32099,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9418872595,"difficulty":0.0581127405}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alexander does not know whether Clarence is thirsty. It is publicly announced that Alexander does not know whether Clarence is thirsty. It is publicly announced that Alexander does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agenta knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Ann can now know whether Rebecca is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ann","Clarence","Rebecca","Alexander"],"index":63347,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9820669889,"difficulty":0.0179330111}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Robert knows whether Robert is thirsty. It is publicly announced that Robert knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agenta knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Dallas can now know that Robert is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Dallas","Juanita","Robert"],"index":42744,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.903218627,"difficulty":0.096781373}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Marjorie knows whether Marjorie is thirsty. It is publicly announced that Marjorie knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agentc knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Marjorie can now know that Marjorie is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Melody","Ralph","Marjorie"],"index":62478,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.953954339,"difficulty":0.046045661}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kenneth is not thirsty. It is publicly announced that Kenneth is not thirsty. It is publicly announced that Preston does not know whether Olga is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] Agentc knows that (Agentb knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Daniel can now know that Preston can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Olga","Preston","Daniel","Kenneth"],"index":8956,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9987772107,"difficulty":0.0012227893}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eugene does not know whether Gregg is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agentc knows that (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Eugene can now know that Elizabeth can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Elizabeth","Gregg","Eugene"],"index":45934,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989237189,"difficulty":0.0010762811}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William is thirsty. It is publicly announced that Ruben does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"William can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ruben","William","Howard","John"],"index":47088,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990502,"difficulty":0.0009498}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Louis does not know whether Lucia is thirsty. It is publicly announced that Lucia does not know whether Louis is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] Agentc knows that (Agentb knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Louis can now know that Charles can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Lucia","Charles","Louis","Jeffery"],"index":23201,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9971725345,"difficulty":0.0028274655}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ann knows whether someone is thirsty. It is publicly announced that Thomas does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentd knows whether (Agentb knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Thomas can now know whether Ann can know whether Nicki is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Tiffany","Ann","Nicki","Thomas"],"index":30219,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991544485,"difficulty":0.0008455515}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas does not know whether Bob is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (1|2|3|4) ] Agenta knows that (Agentc knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (1|2|3|4) ] 0","hypothesis":"Edward can now know that Robert can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Edward","Bob","Robert","Thomas"],"index":35669,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999342978,"difficulty":0.000657022}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Heather does not know whether Alan is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agenta knows that (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Heather can now know that Destiny can know that Destiny is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Heather","Larry","Alan","Destiny"],"index":2649,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9959704876,"difficulty":0.0040295124}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anita knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] Agenta knows whether (Agentc knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Deborah can now know whether Donald can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Deborah","Anita","Donald"],"index":26715,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994539618,"difficulty":0.0005460382}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eugene does not know whether or not everyone is thirsty. It is publicly announced that Vernon does not know whether Sandra is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Sandra can now know whether Eugene can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Eugene","Sandra","Vernon"],"index":21795,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9935095906,"difficulty":0.0064904094}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Enriqueta does not know whether Walter is thirsty. It is publicly announced that Enriqueta does not know whether or not everyone is thirsty. It is publicly announced that Enriqueta does not know whether Nelson is thirsty. It is publicly announced that Walter does not know whether Nelson is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agenta knows that (Agentc knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Nelson can now know that Walter can know that Nelson is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Nelson","Patricia","Walter","Enriqueta"],"index":61727,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8860610127,"difficulty":0.1139389873}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian does not know whether Betty is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows whether (Agenta knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Brian can now know whether Bertha can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Bertha","Brian","Betty"],"index":36653,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9964959025,"difficulty":0.0035040975}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Raylene is thirsty. It is publicly announced that Raylene does not know whether Florence is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agenta knows whether (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Raylene can now know that Florence can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Florence","Raylene"],"index":10363,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999497056,"difficulty":0.000502944}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara knows whether or not everyone is thirsty. It is publicly announced that Mary is not thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(1) ] [ ! (1|2|3) ] (Agentc knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! ~(1) ] [ ! (1|2|3) ] 0","hypothesis":"Anthony can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Mary","Barbara","Anthony"],"index":59685,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995098114,"difficulty":0.0004901886}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lori does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Juanita can now know that Juanita is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lori","Juanita","Evelyn","Morris"],"index":1059,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.963629961,"difficulty":0.036370039}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mildred is thirsty. It is publicly announced that Irene knows whether Mildred is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether 3) ] (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether 3) ] 0","hypothesis":"Irene can now know whether Eric is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Irene","Eric","Mildred"],"index":57377,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9978609681,"difficulty":0.0021390319}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jim knows whether someone is thirsty. It is publicly announced that Shelley does not know whether or not everyone is thirsty. It is publicly announced that Shelley does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agentc knows that (Agenta knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Jim can now know that Shelley can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Shelley","Lorinda","Jim"],"index":17772,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994736314,"difficulty":0.0005263686}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara does not know whether Mary is thirsty. It is publicly announced that Val does not know whether Mary is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 1) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Mary can now know that Mary is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Richard","Barbara","Val"],"index":47967,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9711179137,"difficulty":0.0288820863}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian does not know whether or not everyone is thirsty. It is publicly announced that Margaret is not thirsty. It is publicly announced that Margaret knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2)) ] Agenta knows whether (Agentb knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(2) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"Brian can now know whether Margaret can know whether Brian is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Brian","Margaret"],"index":7750,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990547299,"difficulty":0.0009452701}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lloyd does not know whether Donnell is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Mary is not thirsty. It is publicly announced that Donnell knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] (Agentd knows that 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (1|2|3|4) ] [ ! ~(2) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Kevin can now know that Donnell is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Lloyd","Mary","Donnell","Kevin"],"index":7842,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9703753591,"difficulty":0.0296246409}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Steve does not know whether Barbara is thirsty. It is publicly announced that Steve does not know whether Sylvia is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Barbara can now know that Steve can know that Barbara is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Barbara","Steve","Sylvia"],"index":18781,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9951123595,"difficulty":0.0048876405}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Karen knows whether Karen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Karen can now know that James is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Karen","James","Violet","Pedro"],"index":16802,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9973606467,"difficulty":0.0026393533}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Mark knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] Agentc knows whether (Agentb knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0","hypothesis":"Terry can now know whether Donald can know that Mark is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mark","Donald","Terry"],"index":35083,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9920275807,"difficulty":0.0079724193}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tamara is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agentc knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0","hypothesis":"Marc can now know whether Tamara can know that Marc is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Charles","Tamara","Marc","Jennifer"],"index":7922,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9833221436,"difficulty":0.0166778564}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Curtis does not know whether Kathleen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] (Agentb knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Steve can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Kathleen","Steve","Roy","Curtis"],"index":47789,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994422793,"difficulty":0.0005577207}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Antonio does not know whether Michelle is thirsty. It is publicly announced that Dawn does not know whether Antonio is thirsty. It is publicly announced that Antonio does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] (Agenta knows whether (1|2|3|4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (1|2|3|4) ] 0","hypothesis":"Dawn can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Dawn","Antonio","Michelle","Lois"],"index":59380,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995045662,"difficulty":0.0004954338}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Miquel does not know whether Steven is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agentb knows whether (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Steven can now know whether Richard can know that Steven is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Richard","Steven","Miquel"],"index":63620,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9554371238,"difficulty":0.0445628762}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether Andrea is thirsty. It is publicly announced that Jacqueline is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(2) ] Agentd knows whether (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(2) ] 0","hypothesis":"Raymond can now know whether Jacqueline can know that William is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["William","Jacqueline","Andrea","Raymond"],"index":3892,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9916496277,"difficulty":0.0083503723}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Glenn does not know whether Lori is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Lindsey can now know that Lori can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Glenn","Lori","Lindsey"],"index":57259,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989414811,"difficulty":0.0010585189}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agentb knows that (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Curtis can now know that Nancy can know whether Horace is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Nancy","Curtis","Horace"],"index":2635,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9929002523,"difficulty":0.0070997477}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joann knows whether Glenn is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] Agentb knows whether (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Glenn can now know whether Joann can know whether Joann is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Joann","Glenn"],"index":27881,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9987786412,"difficulty":0.0012213588}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rachel does not know whether Patricia is thirsty. It is publicly announced that Rachel does not know whether Patricia is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 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) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Patricia can now know that Rachel can know whether Patricia is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Patricia","Rachel"],"index":27854,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.928286314,"difficulty":0.071713686}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edward does not know whether Daniel is thirsty. It is publicly announced that Daniel is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(3) ] Agentb knows whether (Agentd knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(3) ] 0","hypothesis":"Vickie can now know whether Edward can know whether Erick is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Erick","Vickie","Daniel","Edward"],"index":19915,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992857575,"difficulty":0.0007142425}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melanie does not know whether or not everyone is thirsty. It is publicly announced that Michael knows whether Michael is thirsty. It is publicly announced that Melanie does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows whether (Agenta knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Lee can now know whether Michael can know that Michael is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Michael","Melanie","Lee"],"index":66684,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9825981259,"difficulty":1.9825981259}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edwin does not know whether Fredricka is thirsty. It is publicly announced that Nancy does not know whether Edwin is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] Agentc knows that (Agentb knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Fredricka can now know that Charles can know that Edwin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Nancy","Charles","Fredricka","Edwin"],"index":67400,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9979974627,"difficulty":0.0020025373}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Athena knows whether Pamela is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 2) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Athena can now know whether Derek can know whether Mae is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Athena","Pamela","Derek","Mae"],"index":39579,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999188602,"difficulty":0.000811398}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Erica is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 1 ] [ ! (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) ] [ ! 1 ] [ ! (1|2) ] 0","hypothesis":"Erica can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Erica","Roy"],"index":37165,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982391596,"difficulty":0.0017608404}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Milissa is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Larue can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Wendy","Larue","Milissa"],"index":46343,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9339268208,"difficulty":1.9339268208}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Josephine knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"Doris can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Doris","Mamie","Josephine"],"index":58206,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988192916,"difficulty":0.0011807084}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Frank can now know whether Nancy can know that Corinne is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Frank","Nancy","Corinne","Ruth"],"index":55722,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9938474298,"difficulty":0.0061525702}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert is not thirsty. It is publicly announced that David does not know whether Trevor is thirsty. It is publicly announced that Trevor does not know whether David is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 2) ] Agenta knows whether (Agentb knows that (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Robert can now know whether David can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","David","Winnifred","Trevor"],"index":13602,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993656278,"difficulty":0.0006343722}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that George does not know whether Matthew is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(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 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Matthew can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Matthew","George","Carol"],"index":49040,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9960629344,"difficulty":0.0039370656}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Denice does not know whether Doris is thirsty. It is publicly announced that Stella does not know whether Doris is thirsty. It is publicly announced that Denice knows whether Denice is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] (Agentc knows that (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Denice can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Stella","Doris","Denice"],"index":18613,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990467429,"difficulty":0.0009532571}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Kevin is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(1) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! ~(1) ] 0","hypothesis":"Kevin can now know whether Kevin is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Kevin","Julia"],"index":22010,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984081388,"difficulty":0.0015918612}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Gayle is thirsty. It is publicly announced that James knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] Agenta knows that (Agentc knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Gayle can now know that Jessica can know that Jessica is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Gayle","James","Jessica"],"index":16089,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9849768877,"difficulty":0.0150231123}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marceline does not know whether or not everyone is thirsty. It is publicly announced that Iris knows whether Marceline is thirsty. It is publicly announced that Iris does not know whether Lillie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] Agentc knows that (Agentd knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! (Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Iris can now know that Lillie can know whether Marceline is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Doris","Marceline","Iris","Lillie"],"index":10243,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.5636492968,"difficulty":1.5636492968}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ricky does not know whether Patrick is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentd knows whether (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Patrick can now know whether Tiffany can know that Tiffany is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Johnny","Ricky","Tiffany","Patrick"],"index":3697,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9916674495,"difficulty":0.0083325505}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy does not know whether Mozell is thirsty. It is publicly announced that Dorothy does not know whether Monica is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentd knows whether 3) ] (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Monica can now know that Hilary is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mozell","Hilary","Monica","Dorothy"],"index":11783,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983614087,"difficulty":0.0016385913}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] Agentc knows that (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Robert can now know that Jerri can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jerri","Phyllis","Robert"],"index":49051,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994981289,"difficulty":0.0005018711}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jesse is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Maria can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jesse","Maria","Sarah"],"index":47761,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9363729954,"difficulty":1.9363729954}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary knows whether Mary is thirsty. It is publicly announced that Mary does not know whether Marlene is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 1) ] (Agentc knows that 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 3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Mary can now know that Marlene is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Marlene","Michael","Mary"],"index":43245,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.996778667,"difficulty":0.003221333}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tommie does not know whether Minerva is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Minerva can now know whether Tommie can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Tommie","Minerva","Lucille"],"index":24486,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993446469,"difficulty":0.0006553531}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janice does not know whether Megan is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Michael can now know whether Janice is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Sheri","Michael","Megan","Janice"],"index":36159,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9815911055,"difficulty":0.0184088945}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Yvonne does not know whether Alfred is thirsty. It is publicly announced that Andrew does not know whether Yvonne is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3)) ] Agenta knows whether (Agentc knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Alfred can now know whether Yvonne can know whether Yvonne is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Alfred","Andrew","Yvonne"],"index":34387,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9985616803,"difficulty":0.0014383197}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel knows whether Daniel is thirsty. It is publicly announced that Daniel is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! 3 ] (Agentc knows that 2)","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 3) ] [ ! 3 ] 0","hypothesis":"Daniel can now know that Andrew is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Sonny","Andrew","Daniel"],"index":2272,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9325891733,"difficulty":0.0674108267}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Alan knows whether Alan is thirsty. It is publicly announced that Alan knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc 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:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Mattie can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Mattie","Alice","Alan"],"index":29792,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993799925,"difficulty":0.0006200075}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentb knows whether (Agentd knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Wilmer can now know whether Michael can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joe","Wilmer","Matthew","Michael"],"index":23631,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.996121943,"difficulty":0.003878057}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lincoln does not know whether Jesse is thirsty. It is publicly announced that James knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentb knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"James can now know that James is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Lincoln","James","Jesse"],"index":211,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9853762984,"difficulty":0.0146237016}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Justin can now know that Justin is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Justin","Cindy","Lloyd","Richard"],"index":65588,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9385725856,"difficulty":0.0614274144}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] Agenta knows whether (Agentc knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] 0","hypothesis":"Margaret can now know whether Joseph can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Margaret","Kent","Joseph"],"index":61423,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9911772013,"difficulty":0.0088227987}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd: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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Eduardo can now know that Agnes can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Spring","Eduardo","Agnes","Robert"],"index":32092,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991936088,"difficulty":0.0008063912}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Martha does not know whether Susie is thirsty. It is publicly announced that Susie knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agenta knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Martha can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Martha","Frederick","Susie","Anna"],"index":31165,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993852377,"difficulty":0.0006147623}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carol is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(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:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Carol can now know whether Stanley can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["William","Stanley","Carol"],"index":36099,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9807059765,"difficulty":0.0192940235}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mildred does not know whether Lisa is thirsty. It is publicly announced that Lisa does not know whether or not everyone is thirsty. It is publicly announced that Lisa does not know whether Larry is thirsty. It is publicly announced that Lisa does not know whether Larry is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows whether (Agentc knows whether (1&2&3))","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 2) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Lisa can now know whether Larry can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Mildred","Lisa","Larry"],"index":52407,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8923855424,"difficulty":0.1076144576}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brandon is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agentd knows whether (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Ruben can now know whether Brandon can know whether Ruben is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Brandon","Lawrence","Harold","Ruben"],"index":48396,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9990861416,"difficulty":0.0009138584}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Angela does not know whether Edna is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] Agentb knows whether (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Ricky can now know whether Angela can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Edna","Ricky","Harold","Angela"],"index":14354,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9962149262,"difficulty":0.0037850738}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia does not know whether Beverly is thirsty. It is publicly announced that Beverly does not know whether Ina is thirsty. It is publicly announced that Ina does not know whether Patricia is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agentb knows whether (~(1|2|3|4)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Ina can now know whether Patricia can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","Patricia","Ina","Beverly"],"index":3483,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994046688,"difficulty":0.0005953312}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentd knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know whether Kimberly can know that Melvin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Kevin","Kimberly","Melvin","Robert"],"index":47597,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9947811961,"difficulty":0.0052188039}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carlton does not know whether or not everyone is thirsty. It is publicly announced that Carlton does not know whether Maureen is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] Agentc knows that (Agentb knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Joseph can now know that Maureen can know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Carlton","Maureen","Joseph"],"index":54572,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9118512273,"difficulty":0.0881487727}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eric knows whether Eric is thirsty. It is publicly announced that Laurel does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentd knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Laurel can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Alfonso","Eric","Ruth","Laurel"],"index":22598,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9985099435,"difficulty":0.0014900565}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Laura is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] Agenta knows that (Agentd knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Eva can now know that Omar can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Eva","Laura","John","Omar"],"index":20233,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994589686,"difficulty":0.0005410314}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Reba knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"Reba can now know whether Reba is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Patricia","Rickie","Reba"],"index":21643,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9935137033,"difficulty":0.0064862967}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Laura does not know whether Mike is thirsty. It is publicly announced that Sabrina knows whether someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agentb knows that 4)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether (1|2|3|4)) ] [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Mike can now know that Sabrina is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Laura","Mike","Charles","Sabrina"],"index":47693,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9279511571,"difficulty":0.0720488429}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eva knows whether Eva is thirsty. It is publicly announced that Nita does not know whether Eva is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] (Agenta knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] 0","hypothesis":"Eva can now know whether Nita is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Eva","Nita"],"index":30521,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9835786819,"difficulty":1.9835786819}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Karen does not know whether Sandra is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows whether (Agentc knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Karen can now know whether Sandra can know whether Karen is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["James","Karen","Sandra"],"index":10328,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9987667799,"difficulty":0.0012332201}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agenta knows that (Agentc knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Robert can now know that James can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Robert","Autumn","James","Marian"],"index":11118,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9926261306,"difficulty":0.0073738694}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Carlos can now know that Dorothy can know that Carol is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Carlos","Dorothy","Gerald","Carol"],"index":47733,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.945561111,"difficulty":0.054438889}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clarence does not know whether Robert is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentc knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Clarence can now know that Charles can know that Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Clarence","Robert","Charles"],"index":9990,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983475208,"difficulty":0.0016524792}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lucille is thirsty. It is publicly announced that Ashley does not know whether Barbara is thirsty. It is publicly announced that Lucille knows whether Lucille is thirsty. It is publicly announced that Ashley does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Ashley can now know that Ashley is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Ashley","Barbara","Lucille"],"index":1871,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.5116080046,"difficulty":0.4883919954}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ann knows whether or not nobody is thirsty. It is publicly announced that Ann does not know whether Bernard is thirsty. It is publicly announced that Richard does not know whether or not everyone is thirsty. It is publicly announced that Ann does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows that (Agenta knows whether 3)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Richard can now know that Bernard can know whether Richard is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Bernard","Ann","Richard"],"index":53288,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.8017603755,"difficulty":0.1982396245}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lee knows whether Arthur is thirsty. It is publicly announced that Arthur is thirsty. It is publicly announced that Arthur knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb 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:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 2) ] [ ! 2 ] [ ! (Agentb knows whether (~(1|2))) ] 0","hypothesis":"Arthur can now know that Lee can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Lee","Arthur"],"index":52203,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984153509,"difficulty":0.0015846491}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Connie does not know whether or not everyone is thirsty. It is publicly announced that Diane does not know whether Gary is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agentb knows that (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Connie can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Diane","Connie","Gary"],"index":59381,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990850687,"difficulty":0.0009149313}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jack does not know whether Marietta is thirsty. It is publicly announced that Jack does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentd knows whether (Agentc knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Sylvia can now know whether Rosella can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jack","Marietta","Rosella","Sylvia"],"index":63511,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9857738018,"difficulty":0.0142261982}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kayla does not know whether Gregoria is thirsty. It is publicly announced that Carter does not know whether Jimmy is thirsty. It is publicly announced that Kayla does not know whether Carter is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Jimmy can now know that Carter can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Carter","Jimmy","Gregoria","Kayla"],"index":40939,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990764856,"difficulty":0.0009235144}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Catherine is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] Agenta knows that (Agentd knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Catherine can now know that Edward can know whether Denise is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Catherine","Danielle","Denise","Edward"],"index":19344,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9972726703,"difficulty":0.0027273297}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia knows whether Patricia is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] Agenta knows whether (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Patricia can now know whether Shane can know that Patricia is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Patricia","Shane"],"index":4735,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.925763011,"difficulty":1.925763011}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patti does not know whether Gerald is thirsty. It is publicly announced that Gerald knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Gerald can now know that Don is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Augusta","Don","Gerald","Patti"],"index":20694,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984148741,"difficulty":0.0015851259}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Frankie can now know whether Joseph can know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Elizabeth","Joseph","Frankie"],"index":17768,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9957343936,"difficulty":0.0042656064}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Annie is thirsty. It is publicly announced that Annie does not know whether Dori is thirsty. It is publicly announced that Regina does not know whether Dori is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agentb knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Arthur can now know whether Dori is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Regina","Arthur","Dori","Annie"],"index":6907,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9715482593,"difficulty":0.0284517407}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gladys does not know whether Sherry is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Sherry can now know whether Sherry is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Sherry","Lisa","Gladys","Nicholas"],"index":40277,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9980555773,"difficulty":0.0019444227}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jose does not know whether Karen is thirsty. It is publicly announced that Mark does not know whether or not everyone is thirsty. It is publicly announced that Mark does not know whether Karen is thirsty. It is publicly announced that Karen does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows that (Agentb knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Candace can now know that Karen can know that Karen is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Candace","Karen","Jose","Mark"],"index":23754,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.7396417856,"difficulty":1.7396417856}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janice knows whether Janice is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] Agentd knows that (Agentb knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Alisha can now know that Trisha can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Janice","Trisha","Kelley","Alisha"],"index":22755,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988778234,"difficulty":0.0011221766}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Riley does not know whether Jennifer is thirsty. It is publicly announced that Christopher does not know whether Jennifer is thirsty. It is publicly announced that Riley is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(1) ] (Agenta knows that (1&2&3&4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(1) ] 0","hypothesis":"Riley can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Riley","James","Christopher","Jennifer"],"index":11011,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998496294,"difficulty":0.001503706}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nelson does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Xenia can now know that Nelson can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Dana","Ben","Xenia","Nelson"],"index":4781,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994801879,"difficulty":0.0005198121}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Magda does not know whether Karima is thirsty. It is publicly announced that Jerry does not know whether Magda is thirsty. It is publicly announced that Karima does not know whether Jerry is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Karima can now know that Jerry is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Magda","Jerry","Karima"],"index":36177,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9945662022,"difficulty":0.0054337978}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cristin is not thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Cristin does not know whether Raymond is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] (Agenta knows that (~(1|2|3)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] 0","hypothesis":"Lonnie can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Lonnie","Cristin","Raymond"],"index":40946,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990215302,"difficulty":0.0009784698}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Danielle does not know whether Charles is thirsty. It is publicly announced that Annette knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agentb 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Charles can now know whether Annette is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Charles","Annette","Cesar","Danielle"],"index":1979,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9918676019,"difficulty":0.0081323981}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Louis does not know whether Alex is thirsty. It is publicly announced that Louis does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 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:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Alex can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Louis","Alex"],"index":42158,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994950294,"difficulty":0.0005049706}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Robert can now know whether Earl can know that Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Earl","Robert"],"index":63924,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9503433704,"difficulty":0.0496566296}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Fermin knows whether someone is thirsty. It is publicly announced that Marie knows whether Marie is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether 1) ] (Agenta 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 (1|2)) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Marie can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Marie","Fermin"],"index":27611,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994478822,"difficulty":0.0005521178}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Yvette does not know whether or not everyone is thirsty. It is publicly announced that Christopher does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] (Agentc knows that 2)","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&2&3)) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Yvette can now know that Christopher is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Allan","Christopher","Yvette"],"index":3441,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9580766559,"difficulty":1.9580766559}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Richard does not know whether Philip is thirsty. It is publicly announced that Richard does not know whether Anthony is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Juan can now know that Juan is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Juan","Philip","Richard","Anthony"],"index":53123,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9942985177,"difficulty":0.0057014823}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melanie knows whether someone is thirsty. It is publicly announced that Christopher knows whether or not nobody is thirsty. It is publicly announced that Aurelia knows whether Aurelia is thirsty. It is publicly announced that Christopher does not know whether Melanie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] (Agentb knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Aurelia can now know that Melanie is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Melanie","Aurelia","Christopher","Jason"],"index":19383,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.993899107,"difficulty":0.006100893}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margarito knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] Agentb knows that (Agentd knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Margarito can now know that Deborah can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Mia","Margarito","Martha","Deborah"],"index":18475,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993698001,"difficulty":0.0006301999}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rick does not know whether Miguel is thirsty. It is publicly announced that Gregory does not know whether Miguel is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] Agenta knows that (Agentd knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Christine can now know that Gregory can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Christine","Rick","Miguel","Gregory"],"index":16407,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993997812,"difficulty":0.0006002188}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeffery is thirsty. It is publicly announced that Frederick does not know whether Anthony is thirsty. It is publicly announced that Frederick does not know whether James is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agentd knows whether (Agenta knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Jeffery can now know whether Frederick can know whether Frederick is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Frederick","James","Anthony","Jeffery"],"index":16738,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9987444878,"difficulty":0.0012555122}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Jack can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Dianne","Anthony","Jack","John"],"index":47274,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988892674,"difficulty":0.0011107326}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether Ray is thirsty. It is publicly announced that Joseph does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows whether (Agenta knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Joseph can now know whether Ray can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Ray","Joseph"],"index":13443,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9917776585,"difficulty":1.9917776585}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Susan can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Susan","Lawrence","Deanna","Arnold"],"index":55260,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984462857,"difficulty":0.0015537143}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Richard does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Nancy can now know that Erasmo is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Nancy","Erasmo","Cindy","Richard"],"index":52299,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8752478361,"difficulty":0.1247521639}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Deborah does not know whether Josephine is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentb knows that (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Benjamin can now know that Deborah can know whether Josephine is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Deborah","Benjamin","Josephine","Earl"],"index":58828,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967603087,"difficulty":0.0032396913}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Harry knows whether Harry is thirsty. It is publicly announced that Harry does not know whether Jessica is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Nicholas can now know that Harry can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Nicholas","Jessica","Harry","Herbert"],"index":20678,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989745617,"difficulty":0.0010254383}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Monroe knows whether or not nobody is thirsty. It is publicly announced that Keri does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agenta knows that (Agentb knows that 2)","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|2|3))) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Darin can now know that Keri can know that Keri is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Darin","Keri","Monroe"],"index":50070,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.7082747221,"difficulty":1.7082747221}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentc knows whether (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Howard can now know whether Danny can know that Mildred is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mildred","Danny","Howard"],"index":19432,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9953715205,"difficulty":0.0046284795}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anita is thirsty. It is publicly announced that Diane knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentb knows whether (~(1|2|3))) ] Agentc knows that (Agentb knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Anita can now know that Diane can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Shasta","Diane","Anita"],"index":55916,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8408268094,"difficulty":0.1591731906}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Duane knows whether someone is thirsty. It is publicly announced that Thomas does not know whether Duane is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Malissa can now know whether Malissa is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Duane","Thomas","Malissa"],"index":28091,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.826126039,"difficulty":0.173873961}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether Donald is thirsty. It is publicly announced that John does not know whether Donald is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agenta 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Donald can now know that William can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Donald","William","John"],"index":41214,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.999050796,"difficulty":0.000949204}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brain does not know whether Magdalena is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] (Agenta knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Magdalena can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Magdalena","Barbara","Brain","Justin"],"index":30355,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9954953194,"difficulty":0.0045046806}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Violette does not know whether Jennifer is thirsty. It is publicly announced that Violette knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] Agentb knows that (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Violette can now know that Walter can know that Jennifer is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jennifer","Violette","Walter"],"index":58783,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9900001884,"difficulty":0.0099998116}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether Christopher is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] (Agentb knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Maria can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ana","Maria","Christopher","Armando"],"index":5725,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990033507,"difficulty":0.0009966493}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christina does not know whether Elaine is thirsty. It is publicly announced that Christina does not know whether Andrea is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] Agentb knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Elaine can now know that Christina can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Christina","Elaine","Wendy","Andrea"],"index":8453,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993110895,"difficulty":0.0006889105}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cathy does not know whether Nancy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agenta knows that (Agentb knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Larry can now know that Cathy can know that Anthony is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Larry","Cathy","Nancy","Anthony"],"index":22998,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982458353,"difficulty":0.0017541647}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Steven knows whether Raymond is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 2) ] Agentc knows that (Agentb knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Debra can now know that Raymond can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Steven","Raymond","Debra","Jose"],"index":26238,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994691014,"difficulty":0.0005308986}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Arthur does not know whether Dorothea is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agentd knows that (Agenta knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Robert can now know that Nicholas can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Nicholas","Arthur","Dorothea","Robert"],"index":60299,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993489385,"difficulty":0.0006510615}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paige does not know whether Jesus is thirsty.","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 that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Jesus can now know that Jesus is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jesus","Krissy","Paige"],"index":7398,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9760422707,"difficulty":0.0239577293}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Larry knows whether or not nobody is thirsty. It is publicly announced that Johnny does not know whether Larry is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Johnny can now know that Larry can know that Elton is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Johnny","Larry","Elton"],"index":25115,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984415174,"difficulty":0.0015584826}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lucille does not know whether Gary is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta 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:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Lucille can now know whether Gary can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Lucille","Gary"],"index":41086,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993984699,"difficulty":0.0006015301}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Jason is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(1) ] (Agentb knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(1) ] 0","hypothesis":"Rodney can now know that Jason is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Jason","Rodney"],"index":41980,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.947794497,"difficulty":0.052205503}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joe does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agentc knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Joe can now know whether Elisa is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["George","Elisa","Joe"],"index":45441,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.987742424,"difficulty":0.012257576}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Judith does not know whether Laura is thirsty. It is publicly announced that Laura does not know whether George is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentc knows whether 4) ] (Agenta knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Judith can now know that Laura is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Judith","Claudia","Laura","George"],"index":47955,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9943529367,"difficulty":0.0056470633}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rona does not know whether Patricia is thirsty. It is publicly announced that Patricia does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows whether (Agentb knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Rona can now know whether Patricia can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Rona","Patricia","Jennie","Jenny"],"index":5333,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.8712188005,"difficulty":1.8712188005}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George is not thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] Agenta knows that (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(2) ] 0","hypothesis":"Jerry can now know that George can know whether Jerry is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jerry","George"],"index":50525,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.7571238279,"difficulty":0.2428761721}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brenda knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] Agentc knows whether (Agenta knows that (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] 0","hypothesis":"Elsa can now know whether Brenda can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Brenda","Larry","Elsa"],"index":3520,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992850423,"difficulty":0.0007149577}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] Agentd knows that (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0","hypothesis":"Lloyd can now know that George can know that George is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Brent","George","Mathew","Lloyd"],"index":49872,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.65031147,"difficulty":0.34968853}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gary does not know whether Jessie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agentb knows that (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Jessie can now know that Melvin can know that Jessie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Melvin","Jessie","Gary"],"index":30670,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9936967492,"difficulty":0.0063032508}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Irene knows whether Angelina is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] Agenta knows whether (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Angelina can now know whether Irene can know that Irene is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Angelina","Irene"],"index":39142,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.8384398818,"difficulty":0.1615601182}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Landon is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] Agentb knows that (Agentc knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0","hypothesis":"Russell can now know that Landon can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Daniel","Russell","Landon","Weston"],"index":5438,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990129471,"difficulty":0.0009870529}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alonzo does not know whether Ronald is thirsty. It is publicly announced that Ronald does not know whether Anne is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] Agentb knows that (Agentc knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Alonzo can now know that Anne can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Aida","Alonzo","Anne","Ronald"],"index":64148,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990118742,"difficulty":0.0009881258}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Betty is thirsty. It is publicly announced that Betty is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(3) ] Agenta knows whether (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(3) ] 0","hypothesis":"Barbara can now know whether Betty can know whether Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Barbara","Brian","Betty","Robert"],"index":20748,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992639422,"difficulty":0.0007360578}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael knows whether Michael is thirsty. It is publicly announced that Paul does not know whether or not everyone is thirsty. It is publicly announced that Luis does not know whether or not everyone is thirsty. It is publicly announced that Pat does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Luis can now know whether Paul can know whether Paul is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Pat","Paul","Luis","Michael"],"index":33384,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989427924,"difficulty":0.0010572076}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brett is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] Agentb knows whether (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(2) ] 0","hypothesis":"Brett can now know whether Daniel can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Daniel","Brett","Frederic"],"index":30200,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994925261,"difficulty":0.0005074739}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ashton does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] Agentc knows that (Agenta knows that 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&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Ashton can now know that Guy can know that Guy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Guy","Jason","Ashton"],"index":2561,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.96587044,"difficulty":0.03412956}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Julie does not know whether Keiko is thirsty. It is publicly announced that Keiko does not know whether Tracey is thirsty. It is publicly announced that Erica knows whether Erica is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentc knows whether 3) ] (Agentb knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 4) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Julie can now know whether Tracey is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Keiko","Julie","Erica","Tracey"],"index":59965,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9973518848,"difficulty":0.0026481152}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Steve can now know whether Tawnya is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Steve","Marlene","Tawnya","Clair"],"index":43206,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9932141304,"difficulty":0.0067858696}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Walter does not know whether Carolyn is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 1) ] (Agentb knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Walter can now know whether Walter is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Carolyn","Walter","Kathleen","Lee"],"index":42705,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9973254204,"difficulty":0.0026745796}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether John is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Cynthia can now know that John can know whether John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Cynthia","John","Robert"],"index":45252,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9746033549,"difficulty":0.0253966451}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Frances is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] (Agentd knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"David can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Frances","Anthony","Joseph","David"],"index":41517,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990020394,"difficulty":0.0009979606}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Monica does not know whether or not everyone is thirsty. It is publicly announced that Richard does not know whether Mary is thirsty. It is publicly announced that Mary knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] (Agentc knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Richard can now know whether Richard is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Monica","Mary","Richard"],"index":61001,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.997392416,"difficulty":0.002607584}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"William can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["William","Alec","Desmond"],"index":21749,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994192123,"difficulty":0.0005807877}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marc does not know whether or not everyone is thirsty. It is publicly announced that Mona knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] (Agentd knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0","hypothesis":"April can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Marc","Claudia","Mona","April"],"index":29701,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995033741,"difficulty":0.0004966259}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Alice knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0","hypothesis":"Kelly can now know that Alice can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Alice","Kelly","Chase"],"index":36888,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9987155199,"difficulty":0.0012844801}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ann knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 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 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"John can now know whether Ann can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["John","Ann"],"index":19062,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9930917025,"difficulty":0.0069082975}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donna does not know whether Alysha is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agenta knows whether (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Maurice can now know whether Donna can know whether Donna is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Maurice","Donna","Nancy","Alysha"],"index":12359,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9956083894,"difficulty":0.0043916106}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Michael is not thirsty. It is publicly announced that Michael is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(4) ] [ ! ~(4) ] (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:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(4) ] [ ! ~(4) ] 0","hypothesis":"Keith can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Keith","Nancy","Edward","Michael"],"index":37205,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9958964586,"difficulty":0.0041035414}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Marianna does not know whether Jacob is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Jacob knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] Agentb knows whether (Agentc knows whether 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3) ] [ ! (Agenta knows whether (1&2&3)) ] 0","hypothesis":"Frances can now know whether Marianna can know whether Marianna is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jacob","Frances","Marianna"],"index":8794,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9985786676,"difficulty":0.0014213324}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Todd does not know whether Susan is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agentd knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Susan can now know that Todd can know whether Susan is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["John","Susan","Rachel","Todd"],"index":64977,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9538370967,"difficulty":1.9538370967}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Allyson does not know whether Leon is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Allyson can now know whether Leon can know whether Leon is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Sonya","Leon","Allyson"],"index":9022,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9985969663,"difficulty":0.0014030337}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Desmond does not know whether Millard is thirsty. It is publicly announced that Desmond is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(3) ] 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(3) ] 0","hypothesis":"Nancy can now know whether Millard can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Millard","Nancy","Desmond"],"index":37696,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995005131,"difficulty":0.0004994869}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helen knows whether or not nobody is thirsty. It is publicly announced that Helen does not know whether Jimmy is thirsty. It is publicly announced that Jimmy knows whether Helen is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether 2) ] Agentb knows that (Agenta knows whether (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Helen can now know that Jimmy can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jimmy","Helen"],"index":1311,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994367957,"difficulty":0.0005632043}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alma does not know whether Byron is thirsty. It is publicly announced that Mark does not know whether Alma is thirsty. It is publicly announced that Mark does not know whether Byron is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 1) ] Agentb knows that (Agenta knows whether 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Alma can now know that Byron can know whether Byron is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Byron","Alma","Mark"],"index":35837,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9838770032,"difficulty":0.0161229968}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jerome does not know whether Leon is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] (Agentb knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Luis can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Leon","Luis","Jerome","Michael"],"index":33239,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998759985,"difficulty":0.001240015}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donna does not know whether or not everyone is thirsty. It is publicly announced that Sheila does not know whether Leon is thirsty. It is publicly announced that Leon does not know whether or not everyone is thirsty. It is publicly announced that Leon does not know whether Sheila is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agentc knows that (~(1|2|3)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Sheila can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Leon","Donna","Sheila"],"index":66417,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990807772,"difficulty":0.0009192228}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc: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 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Deborah can now know that Peter can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jon","Deborah","Peter"],"index":17247,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9948769212,"difficulty":0.0051230788}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Juan does not know whether James is thirsty. It is publicly announced that Angelia does not know whether James is thirsty. It is publicly announced that Angelia knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentd knows whether (1&2&3&4)) ] (Agentc knows that (1|2|3|4))","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"James can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Juan","Robert","James","Angelia"],"index":336,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995191097,"difficulty":0.0004808903}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] Agentb knows that (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Lester can now know that John can know whether John is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["John","Lester","Theresa","Lance"],"index":40065,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9961435795,"difficulty":0.0038564205}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agentd knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Enoch can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Barbara","Jay","Cathy","Enoch"],"index":27287,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993100166,"difficulty":0.0006899834}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edna does not know whether Maria is thirsty. It is publicly announced that Richard does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows that (Agentc knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Margaret can now know that Richard can know whether Maria is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Margaret","Edna","Richard","Maria"],"index":19798,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.981259048,"difficulty":0.018740952}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Agnes does not know whether Howard is thirsty. It is publicly announced that Dora does not know whether Howard is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 3) ] Agentb knows that (Agenta knows whether 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Dora can now know that Agnes can know whether Dora is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Agnes","Dora","Howard"],"index":58175,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9949368238,"difficulty":0.0050631762}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Margaret knows whether Margaret is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] Agenta knows that (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Joshua can now know that Pat can know whether Joshua is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Joshua","Margaret","Pat","Justin"],"index":30350,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8078511953,"difficulty":0.1921488047}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jessica is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] (Agentc knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 3 ] 0","hypothesis":"Jessica can now know whether Gloria is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Miriam","Edna","Jessica","Gloria"],"index":24265,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9961382747,"difficulty":0.0038617253}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"James can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jesus","James","Josette"],"index":21359,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9875301123,"difficulty":0.0124698877}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Myron knows whether someone is thirsty. It is publicly announced that Danielle does not know whether Myron is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Myron can now know that Myron is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Myron","Danielle","Ramon"],"index":19144,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9592183232,"difficulty":0.0407816768}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Victorina knows whether Victorina is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] (Agentb knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"David can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Victorina","David","Irene"],"index":22345,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9775329232,"difficulty":0.0224670768}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tammy knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] 0","hypothesis":"Tammy can now know whether Tammy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Robert","Tammy","Benjamin","Wendy"],"index":44116,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9978722334,"difficulty":0.0021277666}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Adam knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] Agentb knows whether (Agenta knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Adam can now know whether Tommy can know whether Tommy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Tommy","Adam","Lahoma"],"index":23294,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.985250473,"difficulty":0.014749527}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether Thomas is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows whether (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Daniel can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Thomas","Linda","Daniel","James"],"index":18676,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.996563971,"difficulty":0.003436029}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christina is not thirsty. It is publicly announced that Christina knows whether Christina is thirsty. It is publicly announced that Christina does not know whether Mark is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] Agentb knows whether (Agenta knows whether (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Mark can now know whether Christina can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Christina","Mark","Gertrude"],"index":40383,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.8635549545,"difficulty":0.1364450455}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Stephanie knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (1|2|3|4)) ] (Agentd knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (1|2|3|4)) ] 0","hypothesis":"Adam can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Robert","Lindy","Stephanie","Adam"],"index":12291,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995234013,"difficulty":0.0004765987}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Scott does not know whether Darla is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Leroy does not know whether Darla is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Leroy can now know that Darla is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Leroy","Scott","Darla"],"index":21489,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9931220412,"difficulty":0.0068779588}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael is not thirsty. It is publicly announced that Michael knows whether Michael is thirsty. It is publicly announced that Michael does not know whether Clyde is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows that (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(1) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Michael can now know that Clyde can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Michael","Clyde","Ezekiel"],"index":6675,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995144606,"difficulty":0.0004855394}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Patricia knows whether someone is thirsty. It is publicly announced that Keith does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] (Agenta knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Lisa can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Lisa","Patricia","Keith","Mary"],"index":55880,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.99949193,"difficulty":0.00050807}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether Bridget is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Michael can now know whether Michael is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Christine","Bridget","Michael","Irene"],"index":39154,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9957677126,"difficulty":0.0042322874}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Anita does not know whether Bobby is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Anita does not know whether Agnes is thirsty. It is publicly announced that Kathie does not know whether Bobby is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 4) ] (Agentc knows whether 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Agnes can now know whether Anita is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Anita","Kathie","Agnes","Bobby"],"index":58414,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.994333148,"difficulty":0.005666852}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lee does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] Agentc knows whether (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Christopher can now know whether Casandra can know whether Lee is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Casandra","Lee","Christopher"],"index":22204,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991420507,"difficulty":0.0008579493}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Maria does not know whether Steven is thirsty. It is publicly announced that Desmond does not know whether Steven is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 1) ] (Agentb knows whether 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Christopher can now know whether Desmond is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Steven","Christopher","Maria","Desmond"],"index":48046,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9962915182,"difficulty":0.0037084818}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Margaret can now know that Judith can know whether Margaret is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kay","Kimberly","Margaret","Judith"],"index":27039,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9849388599,"difficulty":0.0150611401}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Susana knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (~(1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] Agenta knows whether (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 (~(1|2))) ] 0","hypothesis":"Susana can now know whether Shirley can know whether Susana is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Susana","Shirley"],"index":21969,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989529848,"difficulty":0.0010470152}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nancy does not know whether Theresa is thirsty. It is publicly announced that Nancy does not know whether William is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] (Agentd knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"William can now know whether Nancy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Wilbert","Theresa","Nancy","William"],"index":19372,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8861814737,"difficulty":0.1138185263}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Derrick is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentd knows that (Agentc knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Derrick can now know that Keith can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Howard","Michael","Keith","Derrick"],"index":43816,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995200634,"difficulty":0.0004799366}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Jacqueline is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] Agenta knows that (Agentb knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (~(1&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Jacqueline can now know that David can know that Jacqueline is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Jacqueline","David","Jamison"],"index":57671,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9686008096,"difficulty":0.0313991904}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brett does not know whether Frances is thirsty. It is publicly announced that Laura does not know whether Frances is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 4) ] Agenta knows whether (Agentb knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Laura can now know whether Zane can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Laura","Zane","Brett","Frances"],"index":9623,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994235039,"difficulty":0.0005764961}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agentc knows whether (Agentb knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Charles can now know whether Christopher can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Keith","Christopher","Charles","Richard"],"index":36996,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9984878302,"difficulty":0.0015121698}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Babette does not know whether or not everyone is thirsty. It is publicly announced that Babette does not know whether Sam is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] Agenta knows whether (Agentb knows that 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 2) ] 0","hypothesis":"Babette can now know whether Sam can know that Sam is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Babette","Sam"],"index":24558,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9277381897,"difficulty":1.9277381897}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janet is thirsty. It is publicly announced that Janet does not know whether James is thirsty. It is publicly announced that John does not know whether James is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] (Agentb knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"George can now know that George is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["John","George","James","Janet"],"index":7643,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9781463742,"difficulty":0.0218536258}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Harry knows whether Harry is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] Agentb knows whether (Agentc knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Harry can now know whether William can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Richard","Harry","William"],"index":59759,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994859695,"difficulty":0.0005140305}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sylvia does not know whether Cynthia is thirsty. It is publicly announced that Sandra does not know whether Sylvia is thirsty. It is publicly announced that Sandra does not know whether Sylvia is thirsty. It is publicly announced that Tanya knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentc knows whether 4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agentd knows whether (Agentb knows whether 4)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 4) ] [ ! ~(Agentc knows whether 4) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Sylvia can now know whether Tanya can know whether Sylvia is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Cynthia","Tanya","Sandra","Sylvia"],"index":39053,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9988222718,"difficulty":0.0011777282}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Marguerite knows whether Marguerite is thirsty. It is publicly announced that Marguerite knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agentb knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Rhoda can now know that Marguerite is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Mark","Rhoda","Marguerite"],"index":57659,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9905006886,"difficulty":0.0094993114}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Donald does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Elisa can now know that Elisa is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Donald","Elisa","Jeannie","Kenneth"],"index":46054,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7051749229,"difficulty":0.2948250771}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Goldie is thirsty. It is publicly announced that David does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentd knows whether (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"David can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Donald","Goldie","Iva","David"],"index":44687,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995027781,"difficulty":0.0004972219}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alexander is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] (Agentc knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] 0","hypothesis":"Alexander can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Judy","Max","Alexander","Joseph"],"index":48932,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995243549,"difficulty":0.0004756451}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tiffany knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] (Agentc knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] 0","hypothesis":"Kevin can now know whether Kevin is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Tiffany","Jeanne","Kevin"],"index":46958,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9950430393,"difficulty":0.0049569607}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clarence knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] (Agentd knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Clarence can now know that Michael is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Michael","David","James","Clarence"],"index":29641,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984074235,"difficulty":0.0015925765}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Stephen does not know whether or not everyone is thirsty. It is publicly announced that Stephen does not know whether Vicky is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] (Agentb knows that 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&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Vicky can now know that Kimberly is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kimberly","Vicky","Stephen"],"index":65446,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.982635498,"difficulty":0.017364502}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kimberly knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (~(1|2))) ] Agentb knows that (Agenta knows that 1)","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":"James can now know that Kimberly can know that Kimberly is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Kimberly","James"],"index":22461,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9906861186,"difficulty":0.0093138814}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregory knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] Agentc knows whether (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Luis can now know whether Nancy can know that Nancy is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Nancy","Gregory","Luis"],"index":56588,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9817259908,"difficulty":0.0182740092}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jason is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] Agentc knows whether (Agenta knows whether (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Christopher can now know whether Jason can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Jason","Regina","Christopher"],"index":64249,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9846137762,"difficulty":0.0153862238}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Isaiah is thirsty. It is publicly announced that Evelyn knows whether Isaiah is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether 3) ] (Agentc knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether 3) ] 0","hypothesis":"Isaiah can now know that Jo is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Evelyn","Jo","Isaiah"],"index":22970,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9885649085,"difficulty":0.0114350915}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cynthia is not thirsty. It is publicly announced that Cynthia does not know whether Jonathan is thirsty. It is publicly announced that Cynthia knows whether Cynthia is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether 3) ] (Agentb knows that 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Johnny can now know that Johnny is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Jonathan","Johnny","Cynthia"],"index":37493,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9880111814,"difficulty":0.0119888186}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elodia knows whether someone is thirsty. It is publicly announced that Carmelo does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1&2) ] Agenta knows that (Agentb knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether (1|2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Elodia can now know that Carmelo can know that Carmelo is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Elodia","Carmelo"],"index":50119,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9937505126,"difficulty":0.0062494874}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Heath does not know whether Bruce is thirsty. It is publicly announced that Erica does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentd knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Erica can now know whether Heath is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Heath","Bruce","Flora","Erica"],"index":62564,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.990431726,"difficulty":0.009568274}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brittney does not know whether Betty is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentc knows whether (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Robert can now know whether Brittney can know that Betty is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Betty","Brittney","Robert","Thomas"],"index":34944,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9797213078,"difficulty":0.0202786922}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Corey does not know whether or not everyone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (~(1&2&3)) ] Agentb knows whether (Agenta knows whether 3)","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&2&3)) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Eugene can now know whether Richard can know whether Corey is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Richard","Eugene","Corey"],"index":61201,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991565943,"difficulty":0.0008434057}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Peter does not know whether Michael is thirsty. It is publicly announced that Amanda knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agenta knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Peter can now know that Michael is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Peter","Amanda","Michael"],"index":62078,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997015357,"difficulty":0.002984643}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dale does not know whether Daniel is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] Agentc knows that (Agenta knows that (1&2&3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Daniel can now know that Kathy can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Kathy","Dale","Daniel"],"index":31323,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998912096,"difficulty":0.001087904}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David knows whether or not nobody is thirsty. It is publicly announced that Ralph does not know whether David is thirsty. It is publicly announced that Linda does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] Agenta knows that (Agentc knows whether (1|2|3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Ralph can now know that Linda can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Ralph","David","Linda"],"index":8417,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994885921,"difficulty":0.0005114079}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether Alton is thirsty. It is publicly announced that Cindy does not know whether Kathryn is thirsty. It is publicly announced that Linda knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agenta knows that (Agentd knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Alton can now know that Cindy can know whether Linda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Alton","Linda","Kathryn","Cindy"],"index":59987,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.7637126446,"difficulty":0.2362873554}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Linda does not know whether Glen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc 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 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Glen can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Marcia","Charlene","Linda","Glen"],"index":37421,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988561869,"difficulty":0.0011438131}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that John does not know whether Shirley is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentc knows whether (Agenta knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Jim can now know whether David can know that Shirley is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["David","John","Jim","Shirley"],"index":18180,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9919370413,"difficulty":0.0080629587}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Retta does not know whether Glory is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Glory can now know whether Retta can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Frank","Retta","Glory"],"index":48434,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9935624599,"difficulty":0.0064375401}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Doris does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta knows that (Agentd knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Michael can now know that Lloyd can know whether Lloyd is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Michael","Shirley","Doris","Lloyd"],"index":56265,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.893401444,"difficulty":0.106598556}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Amanda does not know whether Alfred is thirsty. It is publicly announced that Amanda does not know whether David is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] Agentb knows that (Agentd knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Alfred can now know that David can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Amanda","Alfred","Trudy","David"],"index":7679,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993774295,"difficulty":0.0006225705}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Neva does not know whether Rosalie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] Agentd knows whether (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Kate can now know whether Rosalie can know whether Neva is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Rosalie","Neva","Mark","Kate"],"index":44422,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991107583,"difficulty":0.0008892417}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbra does not know whether or not everyone is thirsty. It is publicly announced that Barbra knows whether Barbra is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Barbra can now know whether Glenn can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Glenn","Barbra","Robert"],"index":63798,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999297142,"difficulty":0.000702858}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kathleen knows whether Kathleen is thirsty. It is publicly announced that Deborah does not know whether Kathleen is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] (Agenta knows whether (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Kathleen can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Kathleen","Tim","Deborah"],"index":38694,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9932740927,"difficulty":0.0067259073}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Paul is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] Agentb knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Paul can now know whether Jennie can know that Paul is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jennie","Paul","Erica","Blake"],"index":63561,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9871000051,"difficulty":0.0128999949}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Shawn is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agentd knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Toya can now know that Maryann is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Maryann","Shawn","Louis","Toya"],"index":65158,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9974550605,"difficulty":0.0025449395}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Phyllis does not know whether James is thirsty. It is publicly announced that Phyllis does not know whether or not everyone is thirsty. It is publicly announced that Phyllis does not know whether Hugh is thirsty. It is publicly announced that James does not know whether Hugh is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agentc knows that (Agentb knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"James can now know that Gina can know that Gina is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Hugh","Gina","James","Phyllis"],"index":64221,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9317137003,"difficulty":0.0682862997}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether Pat is thirsty. It is publicly announced that Charles does not know whether Justin is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agentb knows whether 2)","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) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Charles can now know whether Justin can know whether Justin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Pat","Justin","Charles"],"index":25739,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9988225102,"difficulty":0.0011774898}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Sarah is thirsty. It is publicly announced that Melissa knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! 3 ] [ ! (Agentd knows whether (~(1|2|3|4))) ] Agentd knows that (Agentc knows that 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] [ ! 3 ] [ ! (Agentd knows whether (~(1|2|3|4))) ] 0","hypothesis":"Melissa can now know that Sarah can know that Melissa is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Robert","Jana","Sarah","Melissa"],"index":2479,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9944981933,"difficulty":0.0055018067}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Craig does not know whether Joseph is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Craig can now know that Norman can know that Craig is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Craig","Joseph","Norman"],"index":9895,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967519045,"difficulty":0.0032480955}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Chester does not know whether Travis is thirsty. It is publicly announced that John does not know whether or not everyone is thirsty. It is publicly announced that John does not know whether Travis is thirsty. It is publicly announced that Travis does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows that (Agentd knows that (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Manuel can now know that John can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Manuel","Travis","Chester","John"],"index":40221,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9986732006,"difficulty":0.0013267994}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Courtney knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] 0","hypothesis":"Nathan can now know whether Courtney is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Courtney","Nathan","Deborah","Julie"],"index":36372,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9938182235,"difficulty":0.0061817765}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tony is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] 0","hypothesis":"Tony can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Tony","Renae","Diane"],"index":64520,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9972244501,"difficulty":0.0027755499}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb: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:2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Helga can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Mary","Helga"],"index":48630,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9918473959,"difficulty":0.0081526041}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Crystal knows whether Crystal is thirsty. It is publicly announced that Crystal does not know whether Brian is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 2) ] Agenta knows that (Agentc knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Jerry can now know that Crystal can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jerry","Brian","Crystal","Alanna"],"index":30931,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.99949646,"difficulty":0.00050354}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gerald does not know whether Debbie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] Agenta knows that (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] 0","hypothesis":"Steven can now know that Gerald can know that Steven is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Steven","Debra","Gerald","Debbie"],"index":67589,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9974671602,"difficulty":0.0025328398}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sheryll knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentb knows whether (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Marilyn can now know whether Sheryll can know whether Jean is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sheryll","Marilyn","Renee","Jean"],"index":49139,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9991057515,"difficulty":0.0008942485}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul does not know whether Brian is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] Agentc knows that (Agenta knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Paul can now know that Linda can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Linda","Brian","Paul","Victoria"],"index":59500,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999293685,"difficulty":0.000706315}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] Agentd knows that (Agenta knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"James can now know that Michelle can know that Michelle is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Michelle","Stephen","Marie","James"],"index":40942,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8316512108,"difficulty":0.1683487892}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helen is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(2) ] 0","hypothesis":"Leslie can now know whether Steven is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Leslie","Helen","Jason","Steven"],"index":11271,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9979431033,"difficulty":0.0020568967}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brett does not know whether Mary is thirsty. It is publicly announced that Brett does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agenta knows whether (~(1|2|3)))","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 2) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Dorothy can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Dorothy","Mary","Brett"],"index":27141,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994574189,"difficulty":0.0005425811}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Paul knows whether Paul is thirsty. It is publicly announced that Paul is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] [ ! ~(3) ] (Agentb knows that 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 3) ] [ ! ~(3) ] 0","hypothesis":"Neil can now know that Donna is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Donna","Neil","Paul"],"index":16885,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9953936338,"difficulty":0.0046063662}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mildred does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] (Agentb knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Alfred can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Mildred","Alfred","Sheila","Barbara"],"index":37160,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995260239,"difficulty":0.0004739761}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty. It is publicly announced that Ashley knows whether Zachary is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] [ ! (Agentb knows whether 1) ] 0","hypothesis":"Zachary can now know that Ashley is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Zachary","Ashley"],"index":21899,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9936675429,"difficulty":0.0063324571}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentc knows that (Agenta knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Diane can now know that Kevin can know whether Valentin is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kevin","Walter","Diane","Valentin"],"index":11883,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982784986,"difficulty":0.0017215014}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Helen knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Percy can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Percy","Doris","Helen"],"index":15170,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995102882,"difficulty":0.0004897118}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melisa does not know whether or not everyone is thirsty. It is publicly announced that Melisa does not know whether Louise is thirsty. It is publicly announced that Leighann does not know whether Louise is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3&4)) ] (Agentd knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 3) ] [ ! ~(Agentb knows whether 3) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Melisa can now know that Leighann is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Julie","Leighann","Louise","Melisa"],"index":38787,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9917518497,"difficulty":0.0082481503}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] 0","hypothesis":"Louis can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Louis","Michelle","Daniel"],"index":27077,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9934656024,"difficulty":0.0065343976}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether Thomas is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] (Agentd knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Maria can now know whether Jerry is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jerry","Thomas","William","Maria"],"index":6927,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9971633554,"difficulty":0.0028366446}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Janice does not know whether Jesse is thirsty. It is publicly announced that Janice does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (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 1) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Jesse can now know that Janice can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jesse","Janice"],"index":57198,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994754195,"difficulty":0.0005245805}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James is thirsty. It is publicly announced that Joseph does not know whether Angela is thirsty. It is publicly announced that James knows whether James is thirsty. It is publicly announced that Joseph does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that (1&2&3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether 3) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Joseph can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Joseph","Angela","James"],"index":41663,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9981831908,"difficulty":0.0018168092}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Maria is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Maria does not know whether Carol is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! (~(1&2&3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Carol can now know that Carol is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Carol","Maria","Robert"],"index":63473,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9809910059,"difficulty":0.0190089941}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mollie knows whether Mollie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] (Agentb knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Maria can now know whether Vance is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Shawn","Maria","Mollie","Vance"],"index":62656,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980424643,"difficulty":0.0019575357}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sam does not know whether Tammy is thirsty. It is publicly announced that Janet does not know whether Tammy is thirsty. It is publicly announced that Tammy does not know whether Sam is thirsty. It is publicly announced that Sam is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! 3 ] (Agenta knows whether (1|2|3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 3) ] [ ! 3 ] 0","hypothesis":"Janet can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Janet","Tammy","Sam"],"index":65833,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994956255,"difficulty":0.0005043745}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Roy knows whether Roy is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Roy can now know that Roy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Roy","Roxanne","Christopher","Lorenzo"],"index":59312,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8058168292,"difficulty":0.1941831708}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Sylvia knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] Agentc knows that (Agenta knows whether (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Sylvia can now know that Floyd can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Floyd","Barbara","Sylvia"],"index":36452,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992771745,"difficulty":0.0007228255}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Johnnie knows whether someone is thirsty. It is publicly announced that Joseph does not know whether Johnnie is thirsty. It is publicly announced that Joseph is thirsty. It is publicly announced that Lidia does not know whether Johnnie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 3) ] [ ! 2 ] [ ! ~(Agentd knows whether 3) ] (Agentb knows that 1)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1|2|3|4)) ] [ ! ~(Agentb knows whether 3) ] [ ! 2 ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Joseph can now know that Clarence is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Clarence","Joseph","Johnnie","Lidia"],"index":35483,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9940511584,"difficulty":0.0059488416}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Natalie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] Agentb knows whether (Agenta knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Henry can now know whether Dana can know that Henry is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Dana","Henry","Natalie"],"index":54743,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9730451703,"difficulty":0.0269548297}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clyde does not know whether Cindy is thirsty. It is publicly announced that Cindy does not know whether Tina is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] (Agentd knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Cindy can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Clyde","William","Tina","Cindy"],"index":10467,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9960398674,"difficulty":0.0039601326}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty. It is publicly announced that Ginny does not know whether Thomas is thirsty. It is publicly announced that Ginny does not know whether or not everyone is thirsty. It is publicly announced that James does not know whether Thomas is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows that 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 (1&2&3)) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"James can now know that Ginny is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["James","Ginny","Thomas"],"index":49788,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.9762831926,"difficulty":1.9762831926}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Della is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] Agenta knows that (Agentb knows that (1|2))","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! 2 ] 0","hypothesis":"Olivia can now know that Della can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Olivia","Della"],"index":8270,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995319843,"difficulty":0.0004680157}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 4 ] 0","hypothesis":"Jayne can now know whether Jayne is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Deborah","Jayne","Zelma","Michael"],"index":34293,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9971687198,"difficulty":0.0028312802}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether or not everyone is thirsty. It is publicly announced that David knows whether David is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb 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:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"David can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Danny","David"],"index":51041,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8651890159,"difficulty":0.1348109841}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gary does not know whether Judy is thirsty. It is publicly announced that Jessie knows whether or not nobody is thirsty. It is publicly announced that Judy does not know whether Jessie is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 1) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Jessie can now know whether Judy can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Judy","Jessie","Gary"],"index":34541,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994238615,"difficulty":0.0005761385}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Alan does not know whether Della is thirsty. It is publicly announced that Erin does not know whether Della is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] Agentd knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Erin can now know whether Randolph can know that Alan is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Randolph","Alan","Della","Erin"],"index":18147,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9910054207,"difficulty":0.0089945793}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentd knows that 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Burma can now know whether Justin can know that James is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Burma","Karen","James","Justin"],"index":62271,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9882506132,"difficulty":0.0117493868}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ernest knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1&2&3&4)) ] (Agentb knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Lenore can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Melissa","Lenore","Douglas","Ernest"],"index":2044,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994662404,"difficulty":0.0005337596}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc knows that (Agentb knows whether 3)","n_announcements":0,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Bonnie can now know that John can know whether Bonnie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Ashley","John","Bonnie"],"index":10105,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9931001663,"difficulty":0.0068998337}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elizabeth knows whether Elizabeth is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Diane can now know that Elizabeth is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Elizabeth","Kristina","Diane","Bertha"],"index":2842,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9586309791,"difficulty":0.0413690209}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Lorenzo can now know that Myron can know that Lorenzo is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Lorenzo","Myron","Quinn","Steven"],"index":42277,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9975002408,"difficulty":0.0024997592}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elvira does not know whether or not everyone is thirsty. It is publicly announced that Gertrude does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] (Agenta knows that 2)","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&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Gertrude can now know that Shauna is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Gertrude","Shauna","Elvira"],"index":59579,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9919227362,"difficulty":0.0080772638}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Emmett is thirsty. It is publicly announced that Richard is not thirsty. It is publicly announced that Kevin does not know whether Glen is thirsty. It is publicly announced that Emmett does not know whether Kevin is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agentd knows that (Agentc knows that (~(1|2|3|4)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Richard can now know that Glen can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Emmett","Kevin","Glen","Richard"],"index":45998,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990475774,"difficulty":0.0009524226}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gary does not know whether John is thirsty. It is publicly announced that Marget knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentb 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) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"John can now know whether Gary is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Gary","John","Marget"],"index":5888,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9974967837,"difficulty":0.0025032163}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ruth knows whether someone is thirsty. It is publicly announced that Pedro does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] Agentd knows that (Agentc knows whether (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Pedro can now know that Robert can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Heather","Ruth","Robert","Pedro"],"index":63293,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.989539206,"difficulty":0.010460794}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David does not know whether Marie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] Agenta knows that (Agentd knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Marie can now know that Jeff can know whether Patricia is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Marie","Patricia","David","Jeff"],"index":15589,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984040856,"difficulty":0.0015959144}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentd knows whether (Agentc knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Sherie can now know whether Tracy can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Serena","David","Tracy","Sherie"],"index":56412,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993951321,"difficulty":0.0006048679}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentb knows that 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Beverly can now know whether Rene can know that Beverly is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Beverly","Rene","Amber","Perla"],"index":23308,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9359377623,"difficulty":0.0640622377}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Anne can now know that Edmund can know that Edmund is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Edmund","Anne","Carolyn","Roberta"],"index":30432,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9952189326,"difficulty":0.0047810674}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lori does not know whether Amy is thirsty. It is publicly announced that Lenora does not know whether Jeffrey is thirsty. It is publicly announced that Lori knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] Agentb knows that (Agentd knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentd knows whether 3) ] [ ! (Agentb knows whether (~(1|2|3|4))) ] 0","hypothesis":"Lori can now know that Lenora can know that Jeffrey is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Amy","Lori","Jeffrey","Lenora"],"index":1561,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980524778,"difficulty":0.0019475222}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kenneth is not thirsty. It is publicly announced that Elizabeth does not know whether David is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] Agenta knows whether (Agentc knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Carlos can now know whether Elizabeth can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Carlos","David","Elizabeth","Kenneth"],"index":49643,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994634986,"difficulty":0.0005365014}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] Agentb knows that (Agentc knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Betty can now know that Carol can know whether Laura is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Laura","Betty","Carol"],"index":28425,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9970476031,"difficulty":0.0029523969}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles knows whether Charles is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd 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 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentd knows whether 4) ] 0","hypothesis":"Charles can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jeremy","Michael","Harry","Charles"],"index":29128,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989418387,"difficulty":0.0010581613}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] Agentc knows that (Agentb knows whether 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] 0","hypothesis":"Vincent can now know that Emma can know whether Andrea is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Andrea","Emma","Vincent"],"index":18016,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9982680082,"difficulty":0.0017319918}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Candace knows whether or not nobody is thirsty. It is publicly announced that Candace does not know whether Tammy is thirsty. It is publicly announced that Alexander knows whether or not everyone is thirsty. It is publicly announced that Tammy knows whether Tammy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agenta knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether 3) ] (Agenta knows that 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 (~(1|2|3))) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1&2&3)) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Candace can now know that Candace is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Candace","Alexander","Tammy"],"index":51320,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6587040424,"difficulty":0.3412959576}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael does not know whether or not everyone is thirsty. It is publicly announced that Elizabeth knows whether Michael is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] Agenta knows whether (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] 0","hypothesis":"Rudolph can now know whether Elizabeth can know that Michael is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Rudolph","Norman","Michael","Elizabeth"],"index":1648,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9911382794,"difficulty":0.0088617206}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kenneth knows whether someone is thirsty. It is publicly announced that Cesar does not know whether Billy is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentc knows whether 1) ] Agentb knows that (Agentc knows that (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Kenneth can now know that Cesar can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Billy","Kenneth","Cesar"],"index":35193,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993935823,"difficulty":0.0006064177}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Albert does not know whether Tara is thirsty. It is publicly announced that Tara does not know whether Albert is thirsty. It is publicly announced that Albert does not know whether Tara is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] Agentb knows that (Agenta knows that 3)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agenta knows whether 2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Albert can now know that Tara can know that Kelly is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Tara","Albert","Kelly","Danielle"],"index":25828,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9983573556,"difficulty":0.0016426444}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas does not know whether Blake is thirsty. It is publicly announced that Avery is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! 2 ] (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 4) ] [ ! 2 ] 0","hypothesis":"Thomas can now know that Jordan is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jordan","Avery","Thomas","Blake"],"index":35864,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9961198568,"difficulty":0.0038801432}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Edward does not know whether or not everyone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Brittany knows whether Edward is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] (Agentb knows whether (1|2))","n_announcements":4,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (1|2) ] [ ! (1|2) ] [ ! (Agenta knows whether 2) ] 0","hypothesis":"Edward can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Brittany","Edward"],"index":45701,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994963408,"difficulty":0.0005036592}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andre does not know whether or not everyone is thirsty. It is publicly announced that Andre does not know whether or not everyone is thirsty. It is publicly announced that Sal knows whether Andre is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 1) ] (Agentc knows whether 4)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 1) ] 0","hypothesis":"Sherry can now know whether Sal is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Andre","David","Sherry","Sal"],"index":37629,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.979254365,"difficulty":0.020745635}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Tara is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] 0","hypothesis":"Ralph can now know that Elizabeth is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Gilbert","Tara","Elizabeth","Ralph"],"index":37382,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9881049395,"difficulty":0.0118950605}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Henry does not know whether or not everyone is thirsty. It is publicly announced that Irvin knows whether someone is thirsty. It is publicly announced that Gail does not know whether Irvin is thirsty. It is publicly announced that Gail does not know whether Leslie is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] Agentc knows that (Agenta knows that 2)","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Gail can now know that Irvin can know that Leslie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Irvin","Leslie","Gail","Henry"],"index":30770,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9607998729,"difficulty":0.0392001271}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mark does not know whether or not everyone is thirsty. It is publicly announced that Manuel is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(4) ] Agentc knows that (Agentd knows that 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether (1&2&3&4)) ] [ ! ~(4) ] 0","hypothesis":"David can now know that Manuel can know that David is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Mark","Jesse","David","Manuel"],"index":14709,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9845293164,"difficulty":0.0154706836}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brandon does not know whether Erika is thirsty. It is publicly announced that Mildred does not know whether Erika is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] Agentb knows whether (Agenta knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Brandon can now know whether Erika can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Erika","Brandon","Mildred"],"index":21205,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994034767,"difficulty":0.0005965233}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christopher knows whether someone is thirsty.","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 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":"Eva can now know whether Christopher can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Christopher","Eva"],"index":34235,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994113445,"difficulty":0.0005886555}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] (Agentd knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Penelope can now know whether Penelope is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Valorie","Maria","John","Penelope"],"index":30622,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9936572909,"difficulty":0.0063427091}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Toby does not know whether Jonathan is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] Agentb knows whether (Agenta knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Toby can now know whether Jonathan can know that Jonathan is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Jonathan","Toby"],"index":4826,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9426320791,"difficulty":1.9426320791}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Doyle does not know whether Kenyatta is thirsty. It is publicly announced that Doyle does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] Agentb knows that (Agenta knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(Agentb knows whether (1&2)) ] 0","hypothesis":"Doyle can now know that Kenyatta can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Kenyatta","Doyle"],"index":34603,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994986057,"difficulty":0.0005013943}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mark knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agenta knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Arnold can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Arnold","Mark","Mary"],"index":9580,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993300438,"difficulty":0.0006699562}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Judy can now know that Howard can know whether Howard is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Harold","Howard","Judy","Gwendolyn"],"index":57052,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.5437602401,"difficulty":1.5437602401}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Wanda is thirsty. It is publicly announced that Mary is not thirsty. It is publicly announced that William does not know whether Randy is thirsty. It is publicly announced that Wanda does not know whether William is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] Agenta knows whether (Agentb knows whether (~(1|2|3|4)))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 1 ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Wanda can now know whether William can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Wanda","William","Randy","Mary"],"index":5596,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994846582,"difficulty":0.0005153418}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nicole knows whether or not nobody is thirsty. It is publicly announced that Jeannette knows whether Nicole is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether 2) ] [ ! (~(1&2)) ] Agenta knows that (Agentb knows that (1|2))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (Agenta knows whether 2) ] [ ! (~(1&2)) ] 0","hypothesis":"Jeannette can now know that Nicole can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jeannette","Nicole"],"index":38907,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994100332,"difficulty":0.0005899668}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel knows whether or not nobody is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (~(1&2)) ] Agentb knows that (Agenta knows that (1|2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (~(1|2))) ] [ ! (~(1&2)) ] 0","hypothesis":"Daniel can now know that Cynthia can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Cynthia","Daniel"],"index":66583,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993478656,"difficulty":0.0006521344}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Chelsea does not know whether William is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] (Agentd knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"David can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tobias","William","Chelsea","David"],"index":34246,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9987387061,"difficulty":0.0012612939}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Teresa does not know whether Marie is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] Agenta knows that (Agentd knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Robbie can now know that Teresa can know that Marie is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Robbie","Marie","Harvey","Teresa"],"index":58760,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9964233041,"difficulty":0.0035766959}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb: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 Agentb:2 VALID? [ ! (1|2) ] [ ! (1&2) ] 0","hypothesis":"Loretta can now know that Howard can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Loretta","Howard"],"index":17117,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9926925898,"difficulty":0.0073074102}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Barbara knows whether or not nobody is thirsty. It is publicly announced that Arthur does not know whether Barbara is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] Agentb knows that (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Barbara can now know that Arthur can know that Barbara is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Arthur","Barbara","Cecilia"],"index":27043,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9942287207,"difficulty":0.0057712793}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles knows whether someone is thirsty. It is publicly announced that Jodee knows whether or not nobody is thirsty. It is publicly announced that Jodee does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] Agenta knows whether (Agentb knows that (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] [ ! (Agenta knows whether (~(1|2))) ] [ ! ~(Agenta knows whether (1&2)) ] 0","hypothesis":"Jodee can now know whether Charles can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Jodee","Charles"],"index":60570,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993953705,"difficulty":0.0006046295}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that David does not know whether Anthony is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 1) ] (Agenta knows whether (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Anthony can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Anthony","David","Sonya","Alicia"],"index":1923,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993718266,"difficulty":0.0006281734}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Derek is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] Agenta 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:3 VALID? [ ! (1|2|3) ] [ ! 3 ] 0","hypothesis":"Barbara can now know that Timothy can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Barbara","Timothy","Derek"],"index":47078,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995168447,"difficulty":0.0004831553}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Leisa knows whether or not everyone is thirsty. It is publicly announced that Leisa knows whether Suzette is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] (Agenta knows that (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] 0","hypothesis":"Suzette can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Suzette","Leisa"],"index":33721,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990549684,"difficulty":0.0009450316}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thomas does not know whether Dewey is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb 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:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Dewey can now know whether Cynthia can know that Thomas is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Cynthia","Thomas","Dewey"],"index":27924,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9920523167,"difficulty":0.0079476833}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agentb knows that (Agenta knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"William can now know that Jana can know whether Jana is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jana","William","Christina","John"],"index":56527,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.5281531811,"difficulty":1.5281531811}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cedric knows whether Cedric is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] Agenta knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether 2) ] 0","hypothesis":"Elsa can now know whether Cedric can know that Edna is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Elsa","Cedric","Edna"],"index":22304,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9917581677,"difficulty":0.0082418323}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agentc knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Nancy can now know that Willie can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["William","Nancy","Willie","Lawrence"],"index":10686,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9920727611,"difficulty":0.0079272389}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] (Agentb knows that (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"Orlando can now know that someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":1,"names":["Yvonne","Orlando","Guy","Katherine"],"index":10109,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.999499321,"difficulty":0.000500679}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gwendolyn knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 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:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"Joyce can now know whether Gwendolyn can know that Joyce is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Joyce","Gwendolyn"],"index":8532,"s-l":"internal-0","deberta_pred":1,"deberta_confidence":0.9518741369,"difficulty":1.9518741369}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agenta knows that (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Kathy can now know that Veronica can know that Barbara is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Kathy","Fernando","Barbara","Veronica"],"index":51308,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997009635,"difficulty":0.002990365}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Marie is thirsty. It is publicly announced that Frank knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] (Agentc knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether 3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Marie can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["James","Frank","Marie"],"index":41845,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990000129,"difficulty":0.0009999871}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Albert knows whether someone is thirsty. It is publicly announced that Frances knows whether or not nobody is thirsty. It is publicly announced that Richard knows whether Richard is thirsty. It is publicly announced that Frances does not know whether Albert is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] (Agenta knows whether (1&2&3&4))","n_announcements":4,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1|2|3|4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] [ ! (Agentb knows whether 2) ] [ ! ~(Agentc knows whether 1) ] 0","hypothesis":"Albert can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Albert","Richard","Frances","William"],"index":15491,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9935238361,"difficulty":0.0064761639}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Douglas knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] Agentb knows whether (Agentc knows whether 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agenta knows whether (1&2&3&4)) ] 0","hypothesis":"Vernell can now know whether Patrick can know whether Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Douglas","Vernell","Patrick","Robert"],"index":66868,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992613196,"difficulty":0.0007386804}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether Delores is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] Agentc knows that (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:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether 1) ] [ ! (1|2|3|4) ] [ ! (1&2&3&4) ] 0","hypothesis":"James can now know that Delores can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Delores","Abraham","James","Robert"],"index":47116,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994789958,"difficulty":0.0005210042}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1&2&3) ] 0","hypothesis":"Jennette can now know whether Matthew can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Matthew","Jennette","Ralph"],"index":58954,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993066788,"difficulty":0.0006933212}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Brian knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] Agentc knows that (Agentb knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1|2|3)) ] 0","hypothesis":"Andrew can now know that Brian can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Alexa","Brian","Andrew"],"index":5726,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992600083,"difficulty":0.0007399917}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rita is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 2 ] 0","hypothesis":"Sophia can now know whether Rita is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Sophia","Rita","Hugh"],"index":32916,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9851796627,"difficulty":0.0148203373}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jesse knows whether someone is thirsty. It is publicly announced that Susan does not know whether Paul is thirsty. It is publicly announced that Karen is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] [ ! 1 ] (Agenta knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 4) ] [ ! 1 ] 0","hypothesis":"Karen can now know whether Jesse is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Karen","Jesse","Susan","Paul"],"index":65987,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9461240172,"difficulty":0.0538759828}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether Jennifer is thirsty. It is publicly announced that Jennifer does not know whether Laura is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] Agentd knows whether (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Jennifer can now know whether Laura can know that Thomas is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Thomas","Robert","Laura","Jennifer"],"index":23064,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9934509993,"difficulty":0.0065490007}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jennifer knows whether Jennifer is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] (Agentd knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Toni can now know that Tracy is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tracy","Lee","Jennifer","Toni"],"index":31307,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9966729879,"difficulty":0.0033270121}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Andres does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agentc knows whether (Agentd knows that 4)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Robert can now know whether Hazel can know that Hazel is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Michael","Andres","Robert","Hazel"],"index":4074,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.8144268394,"difficulty":0.1855731606}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Steven knows whether Steven is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] Agenta knows that (Agentb knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"Steven can now know that Andrea can know whether Andrea is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Steven","Andrea"],"index":7908,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.6105528474,"difficulty":1.6105528474}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lawrence does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] (Agentc knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Kimberly can now know that Kimberly is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Tracy","Lawrence","Kimberly","Roger"],"index":63586,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.6982523799,"difficulty":0.3017476201}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Crystal does not know whether Elliot is thirsty. It is publicly announced that Rita does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] Agenta 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 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Sylvia can now know that Rita can know that Rita is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Sylvia","Crystal","Rita","Elliot"],"index":56992,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.7909383178,"difficulty":1.7909383178}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Dona does not know whether Margaret is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] Agentb knows that (Agentd knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Karen can now know that Dona can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Margaret","Karen","Jeanie","Dona"],"index":31914,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990171194,"difficulty":0.0009828806}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Eileen does not know whether or not everyone is thirsty. It is publicly announced that Juliet does not know whether Asuncion is thirsty. It is publicly announced that Asuncion does not know whether or not everyone is thirsty. It is publicly announced that Asuncion does not know whether Juliet is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] (Agenta knows whether (1&2&3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 1) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Asuncion can now know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Asuncion","Eileen","Juliet"],"index":61128,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9850121737,"difficulty":0.0149878263}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Elsie does not know whether Dawn is thirsty. It is publicly announced that Chad knows whether Chad is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 4) ] Agentc knows whether (Agenta knows that (1|2|3|4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 2) ] [ ! (Agentd knows whether 4) ] 0","hypothesis":"Matthew can now know whether Elsie can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Elsie","Dawn","Matthew","Chad"],"index":32035,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994730353,"difficulty":0.0005269647}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] Agenta knows whether (Agentb knows that (1&2&3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! ~(Agenta knows whether (1&2&3)) ] 0","hypothesis":"Robert can now know whether Janice can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Robert","Janice","Virgil"],"index":43510,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9938200116,"difficulty":0.0061799884}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joanne does not know whether or not everyone is thirsty. It is publicly announced that David knows whether someone is thirsty. It is publicly announced that Dennis does not know whether David is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] (Agentc knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] [ ! (Agenta knows whether (1|2|3)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Joanne can now know that David is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["David","Dennis","Joanne"],"index":63865,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9440400004,"difficulty":0.0559599996}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Irma does not know whether Anthony is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentd knows that (Agentb knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Anthony can now know that Irma can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Ana","Irma","Marie","Anthony"],"index":42415,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990257025,"difficulty":0.0009742975}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] Agentb knows that (Agentd knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (~(1&2&3&4)) ] 0","hypothesis":"Ernest can now know that Francesca can know whether Wanda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Jennifer","Ernest","Wanda","Francesca"],"index":7357,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.998239398,"difficulty":0.001760602}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that James does not know whether or not everyone is thirsty. It is publicly announced that James does not know whether Tina is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] Agentb knows that (Agenta knows whether 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] [ ! ~(Agentd knows whether 2) ] 0","hypothesis":"Tina can now know that David can know whether David is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["David","Tina","Barbara","James"],"index":65344,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.8394255042,"difficulty":0.1605744958}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jamie is thirsty. It is publicly announced that Ronald does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentb knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! 2 ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Jamie can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Anthony","Jamie","Rick","Ronald"],"index":67297,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9981713295,"difficulty":0.0018286705}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Clara does not know whether Mary is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] Agenta knows whether (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 4) ] 0","hypothesis":"Clara can now know whether Mary can know that Rhonda is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Clara","Donald","Rhonda","Mary"],"index":53808,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9933871627,"difficulty":0.0066128373}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jessica knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] Agenta knows whether (Agentb knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (~(1|2|3))) ] 0","hypothesis":"Rebecca can now know whether Jessica can know that Crystal is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Rebecca","Jessica","Crystal"],"index":1627,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9950963855,"difficulty":0.0049036145}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert knows whether or not everyone is thirsty.","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 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":"Michael can now know that Robert can know whether Robert is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Michael","Robert"],"index":32483,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9977152348,"difficulty":0.0022847652}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Bernard knows whether Bernard is thirsty. It is publicly announced that Albert knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether (1&2)) ] (Agenta knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 2) ] [ ! (Agenta knows whether (1&2)) ] 0","hypothesis":"Albert can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Albert","Bernard"],"index":59362,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984429479,"difficulty":0.0015570521}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Carol is thirsty. It is publicly announced that Carol does not know whether or not everyone is thirsty. It is publicly announced that everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] Agenta knows that (Agentc knows whether (1&2&3))","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 1 ] [ ! ~(Agenta knows whether (1&2&3)) ] [ ! (1&2&3) ] 0","hypothesis":"Carol can now know that Tanya can know whether or not everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Carol","Roger","Tanya"],"index":53747,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9973795414,"difficulty":0.0026204586}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that George knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] (Agentc knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (~(1|2|3))) ] 0","hypothesis":"George can now know whether Robert is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Betsy","Robert","George"],"index":48839,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980290532,"difficulty":0.0019709468}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kelvin does not know whether Ernest is thirsty. It is publicly announced that Sharon does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] Agenta knows whether (Agentd knows whether 3)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 1) ] [ ! ~(Agentb knows whether (1&2&3&4)) ] 0","hypothesis":"Ernest can now know whether Kelvin can know whether James is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ernest","Sharon","James","Kelvin"],"index":49923,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9992625117,"difficulty":0.0007374883}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cheryl knows whether someone is thirsty. It is publicly announced that Holly does not know whether Cheryl is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agenta knows that 2)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentb knows whether (1|2|3|4)) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Holly can now know whether Joseph can know that Cheryl is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Joseph","Cheryl","Holly","Tamika"],"index":28916,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9781256318,"difficulty":0.0218743682}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Kris is not thirsty. It is publicly announced that Gearldine does not know whether Madeline is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] (Agentc knows that (1&2&3&4))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Madeline can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Raymond","Gearldine","Madeline","Kris"],"index":44267,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989081621,"difficulty":0.0010918379}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Lucas is thirsty. It is publicly announced that James knows whether Lucas is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether 3) ] (Agentc knows whether (~(1|2|3)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! 3 ] [ ! (Agenta knows whether 3) ] 0","hypothesis":"Lucas can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["James","Gerald","Lucas"],"index":52143,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994931221,"difficulty":0.0005068779}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd: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:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Olin can now know whether Elva can know whether Elva is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Olin","Rebecca","Joshua","Elva"],"index":13388,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9946920276,"difficulty":0.0053079724}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mable knows whether Mable is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] Agenta knows that (Agentb knows that 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether 3) ] 0","hypothesis":"Amy can now know that Angela can know that Angela is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":0,"names":["Amy","Angela","Mable"],"index":7809,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9795871377,"difficulty":0.0204128623}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 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 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Jeremy can now know that Robert can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Denise","Robert","Jeremy","Brian"],"index":29711,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9987724423,"difficulty":0.0012275577}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Charles does not know whether Kathleen is thirsty. It is publicly announced that Theresa is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(3) ] (Agentc knows whether (1|2|3))","n_announcements":2,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! ~(3) ] 0","hypothesis":"Theresa can now know whether someone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Kathleen","Charles","Theresa"],"index":40693,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995069504,"difficulty":0.0004930496}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that William does not know whether Craig is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 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:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 3) ] 0","hypothesis":"Craig can now know that Corey can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Alicia","Corey","Craig","William"],"index":47784,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993317723,"difficulty":0.0006682277}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Joseph does not know whether or not everyone is thirsty. It is publicly announced that Joseph does not know whether or not everyone is thirsty. It is publicly announced that Kimberly knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] (Agentb knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! (Agenta knows whether (~(1|2))) ] 0","hypothesis":"Joseph can now know whether Joseph is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Kimberly","Joseph"],"index":59286,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.997989893,"difficulty":0.002010107}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Christine knows whether Lillian is thirsty. It is publicly announced that Christine knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether 1) ] [ ! (Agentb knows whether (1|2)) ] (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 1) ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"Christine can now know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":1,"names":["Lillian","Christine"],"index":2615,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994198084,"difficulty":0.0005801916}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary does not know whether Kimberly is thirsty. It is publicly announced that Christopher is thirsty. It is publicly announced that Kimberly is thirsty. It is publicly announced that Christopher is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! 2 ] [ ! 1 ] Agenta knows whether (Agentb knows that (1|2|3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether 2) ] [ ! 1 ] [ ! 2 ] [ ! 1 ] 0","hypothesis":"Christopher can now know whether Kimberly can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Christopher","Kimberly","Mary"],"index":7332,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994831085,"difficulty":0.0005168915}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ginger is not thirsty. It is publicly announced that Jessica knows whether or not everyone is thirsty. It is publicly announced that Ginger knows whether or not nobody is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] Agentb knows whether (Agenta knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! (Agenta knows whether (1&2&3&4)) ] [ ! (Agentc knows whether (~(1|2|3|4))) ] 0","hypothesis":"Andrew can now know whether Jessica can know whether Andrew is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Jessica","Andrew","Ginger","Charles"],"index":43075,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989558458,"difficulty":0.0010441542}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Dorothy does not know whether John is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentb knows whether (Agentc knows whether (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Dorothy can now know whether Barry can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Darla","Dorothy","Barry","John"],"index":8404,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993078709,"difficulty":0.0006921291}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Felicia knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (Agentc knows whether (1&2&3&4)) ] 0","hypothesis":"Betty can now know that Linda is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Linda","Betty","Felicia","William"],"index":57808,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9898263216,"difficulty":0.0101736784}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Robert does not know whether or not everyone is thirsty. It is publicly announced that Robert does not know whether Patricia is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] (Agentb knows that (1&2))","n_announcements":2,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether (1&2)) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Robert can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Patricia","Robert"],"index":7469,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9987395406,"difficulty":0.0012604594}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Karl does not know whether Robert is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] Agentb knows whether (Agentc knows whether (1|2|3|4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 4) ] 0","hypothesis":"Karl can now know whether Lawrence can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Ron","Karl","Lawrence","Robert"],"index":21791,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993802309,"difficulty":0.0006197691}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Odell is not thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] Agentc knows whether (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(3) ] 0","hypothesis":"Odell can now know whether Samuel can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Samuel","Darren","Odell"],"index":18799,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9995110035,"difficulty":0.0004889965}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Rossie knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] Agentb knows that (Agentc knows whether (~(1|2|3)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Wendy can now know that Rossie can know whether or not nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Wayne","Wendy","Rossie"],"index":58983,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994722009,"difficulty":0.0005277991}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Cheryl does not know whether Pedro is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] (Agentb knows that (1&2&3&4))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Cheryl can now know that everyone is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Pedro","Cheryl","Gregory","Andrew"],"index":25469,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989905953,"difficulty":0.0010094047}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Nellie does not know whether Carin is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] (Agentc knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Carin can now know that Andrew is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Andrew","Nellie","Carin","Louis"],"index":40291,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9979972243,"difficulty":0.0020027757}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Terry is not thirsty. It is publicly announced that Megan does not know whether Larry is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentd knows whether 1) ] Agenta knows that (Agentc knows that 1)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(3) ] [ ! ~(Agentd knows whether 1) ] 0","hypothesis":"Larry can now know that Terry can know that Larry is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Larry","Tracy","Terry","Megan"],"index":57115,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9950953722,"difficulty":0.0049046278}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gregg does not know whether or not everyone is thirsty. It is publicly announced that Gregg does not know whether or not everyone is thirsty. It is publicly announced that Gregg does not know whether or not everyone is thirsty. It is publicly announced that Gregg does not know whether Nathan is thirsty.","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 whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] Agenta knows that (Agentb knows that (1|2))","n_announcements":4,"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)) ] [ ! ~(Agenta knows whether (1&2)) ] [ ! ~(Agenta knows whether 2) ] 0","hypothesis":"Gregg can now know that Nathan can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":1,"names":["Gregg","Nathan"],"index":34651,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994675517,"difficulty":0.0005324483}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ryan does not know whether Terry is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] [ ! (1|2) ] (Agentb knows that (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! ~(Agentb knows whether 1) ] [ ! (1|2) ] [ ! (1|2) ] 0","hypothesis":"Ryan can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Terry","Ryan"],"index":309,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9988299012,"difficulty":0.0011700988}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Ashly does not know whether or not everyone is thirsty. It is publicly announced that Casey knows whether Ashly is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] Agentc knows that (Agenta knows that 4)","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentc knows whether (1&2&3&4)) ] [ ! (Agentd knows whether 3) ] 0","hypothesis":"Ashly can now know that Juanita can know that Casey is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Juanita","Marjorie","Ashly","Casey"],"index":22985,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9373114109,"difficulty":0.0626885891}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Jeffrey knows whether Jeffrey is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":2,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] [ ! (Agenta knows whether 1) ] 0","hypothesis":"David can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Jeffrey","Barbara","David","Ron"],"index":56572,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9989596605,"difficulty":0.0010403395}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Gene does not know whether Christopher is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] Agenta knows whether (Agentc knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentb knows whether 3) ] 0","hypothesis":"Cynthia can now know whether Christopher can know that nobody is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Cynthia","Gene","Christopher","Randal"],"index":62274,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993127584,"difficulty":0.0006872416}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] Agentc 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:3 VALID? [ ! (1|2|3) ] 0","hypothesis":"Lavonda can now know whether Wilhelmina can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Wilhelmina","Donald","Lavonda"],"index":47342,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9993915558,"difficulty":0.0006084442}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] Agenta knows whether (Agentc knows whether 1)","n_announcements":0,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] 0","hypothesis":"Laura can now know whether Jamie can know whether Laura is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":1,"names":["Laura","Lynnette","Jamie","Daniel"],"index":23324,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9989413619,"difficulty":0.0010586381}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Ron can now know whether Michael is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Ron","Melba","Michael","Leonard"],"index":23702,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.997151196,"difficulty":0.002848804}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that not everyone is thirsty. It is publicly announced that Walter knows whether Walter is thirsty. It is publicly announced that Walter knows whether someone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] (Agentc knows whether 2)","n_announcements":3,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (~(1&2&3)) ] [ ! (Agentc knows whether 3) ] [ ! (Agentc knows whether (1|2|3)) ] 0","hypothesis":"Walter can now know whether Anthony is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Milton","Anthony","Walter"],"index":34307,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9978402853,"difficulty":0.0021597147}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jeanne knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] Agentb knows whether (Agenta knows that (1|2|3))","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentc knows whether (1&2&3)) ] 0","hypothesis":"Mark can now know whether Kathleen can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Kathleen","Mark","Jeanne"],"index":55007,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994876385,"difficulty":0.0005123615}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that David knows whether or not everyone is thirsty. It is publicly announced that David knows whether Debra is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] (Agentb knows that (~(1|2)))","n_announcements":3,"pbcheck":"VARS 0,1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agentb knows whether (1&2)) ] [ ! (Agentb knows whether 1) ] [ ! (1|2) ] 0","hypothesis":"David can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":2,"label":0,"names":["Debra","David"],"index":31347,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.999045074,"difficulty":0.000954926}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Laura does not know whether Marcy is thirsty. It is publicly announced that Laura does not know whether Marcy is thirsty. It is publicly announced that Laura does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] (Agentd knows that 1)","n_announcements":3,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether 2) ] [ ! ~(Agentd knows whether (1&2&3&4)) ] 0","hypothesis":"Laura can now know that John is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["John","Marcy","Leslie","Laura"],"index":15815,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9755345583,"difficulty":0.0244654417}
-{"premise":"There are two persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Melody knows whether Melody is thirsty. It is publicly announced that Joel is thirsty. It is publicly announced that Joel knows whether someone is thirsty.","smcdel_problem":"VARS 1,2 LAW Top OBS Agenta:1 Agentb:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! 2 ] [ ! (Agentb 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:2 VALID? [ ! (1|2) ] [ ! (Agenta knows whether 1) ] [ ! 2 ] [ ! (Agentb knows whether (1|2)) ] 0","hypothesis":"Joel can now know that Melody can know that everyone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":2,"label":0,"names":["Melody","Joel"],"index":53802,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9984455705,"difficulty":0.0015544295}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] Agentc knows that (Agentd knows that 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! (1|2|3|4) ] 0","hypothesis":"Alfred can now know that Heather can know that Alfred is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Denise","James","Alfred","Heather"],"index":42270,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9969049096,"difficulty":0.0030950904}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Michael knows whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] (Agenta knows whether 3)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (Agentb knows whether (1&2&3)) ] 0","hypothesis":"Evelyn can now know whether Chris is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Evelyn","Michael","Chris"],"index":12532,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9967071414,"difficulty":0.0032928586}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Hector does not know whether Mary is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb 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:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] 0","hypothesis":"Steven can now know that Hector can know that someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Mary","Hector","Steven"],"index":19542,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994140863,"difficulty":0.0005859137}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that someone is thirsty. It is publicly announced that Nikki does not know whether Robert is thirsty. It is publicly announced that Tammy knows whether or not everyone is thirsty. It is publicly announced that Tammy does not know whether Nikki is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] Agentc knows whether (Agenta knows whether (1|2|3))","n_announcements":4,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! (1|2|3) ] [ ! ~(Agentb knows whether 1) ] [ ! (Agentc knows whether (1&2&3)) ] [ ! ~(Agentc knows whether 2) ] 0","hypothesis":"Tammy can now know whether Robert can know whether someone is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":3,"label":1,"names":["Robert","Nikki","Tammy"],"index":61112,"s-l":"internal-1","deberta_pred":1,"deberta_confidence":0.9994749427,"difficulty":0.0005250573}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Mary is not thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] (Agentc knows that (~(1|2|3|4)))","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(1) ] 0","hypothesis":"Kim can now know that nobody is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":4,"label":0,"names":["Mary","Jerry","Kim","Andrew"],"index":9504,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9990371466,"difficulty":0.0009628534}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Jack does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 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:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentb knows whether (1&2&3)) ] 0","hypothesis":"Daniel can now know that Jack is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":1,"names":["Adam","Jack","Daniel"],"index":22996,"s-l":"internal-1","deberta_pred":0,"deberta_confidence":0.8648807406,"difficulty":1.8648807406}
-{"premise":"There are four persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Daniel does not know whether Chad is thirsty.","smcdel_problem":"VARS 1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] Agentc knows that (Agenta knows whether 2)","n_announcements":1,"pbcheck":"VARS 0,1,2,3,4 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 Agentd:4 VALID? [ ! (1|2|3|4) ] [ ! ~(Agenta knows whether 3) ] 0","hypothesis":"Chad can now know that Daniel can know whether Wallace is thirsty.","setup":"internal","hypothesis_depth":1,"n_agents":4,"label":0,"names":["Daniel","Wallace","Chad","Adam"],"index":50949,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9980831146,"difficulty":0.0019168854}
-{"premise":"There are three persons. Everyone is visible to others. It is publicly announced that someone is thirsty. It is publicly announced that Thelma does not know whether or not everyone is thirsty.","smcdel_problem":"VARS 1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] (Agentb knows that 1)","n_announcements":1,"pbcheck":"VARS 0,1,2,3 LAW Top OBS Agenta:1 Agentb:2 Agentc:3 VALID? [ ! (1|2|3) ] [ ! ~(Agentc knows whether (1&2&3)) ] 0","hypothesis":"Roy can now know that Linda is thirsty.","setup":"internal","hypothesis_depth":0,"n_agents":3,"label":0,"names":["Linda","Roy","Thelma"],"index":7550,"s-l":"internal-0","deberta_pred":0,"deberta_confidence":0.9343008399,"difficulty":0.0656991601}