It only means that the Internet Mail provider is listening on the IMAP port as well (in case you use it). I think it can be disabled somewhere in the ini file, but it's certainly not the problem here.
This is the log of the Internet Mail provider - which won't help us much here. If there were any of the unp* files, it would tell us more (it would be a file describing avast! problem/crash).
Did you find any relation of the problem to the particular avast! settings? Is there anything (that might be connected to the problem) in the avast! log (using the Log Viewer), or in the Windows Event Viewer?