I have seen a few threads with a similar problem related not just to Presence but a number of the MCS running call manager. In all threads there does not seem to be a real fix. Every so often (couple of days) my presence server crashes - the last message before the power down is the following:
Notice logrotate ALERT exited abnormally with 
In previous threads individuals have referenced the following bugs: CSCse72363 and CSCso55836 - these do not seem to be of any help - although appear to be somewhat related.
These are the paths to get to each CCX logs through CLI. They may be helpful if you are having issues accessing RTMT or downloading logs through it.
If you want to download them you have to prefix "file get " and you can add one of the options (re...