To find out the processes, use the "ps" command:
ps -ef | grep adop
ps -ef | grep adpatch
ps -ef | grep opatch
When a disconnection occurs, sometimes the patching continues till the end. I have seen this with adpatch but not sure about "adop" or "opatch".
You need to check the log files and if the patching did not run to completion then you must restart the patch.