If “Proposal: A third delivery of Roles” passes, change the Professor’s power to:

The Professor has made a career out of formulating and testing hypotheses.  As a weekly action, the Professor may contact the Executor by telegram, stating that he is theorizing. Such telegram shall contain exactly one declarative statement with respect to no more than one Guest (such as “Guest X has the lowest absolute relation to Lord Cartlesham”, or “Guest X performed the attack that wounded a guest in the Library last night”) to which the Executor shall privately reply by repeating the declarative statement and including one of the words “TRUE”, “FALSE”, and “UNANSWERABLE”.  Such TRUE or FALSE reply by the Executor shall be an accurate characterization of the truth or falsity of the statement 66% of the time (with the Executor determining the outcome of this percentage in whatever manner the Executor deems suitable). An UNANSWERABLE reply by the Executor shall be a characterization of the statement as paradox, requiring action from the Executor beyond replying TRUE or FALSE, requiring knowledge of future events, or otherwise not classifiable as true or false to the best of the Executor’s abilities.