So you need to be considering what happens in your machine on a normal cycle at about the ten minutes mark that does not happen on a cold rinse cycle.
The two things that immediately come to mind are water heating and detergent dispersal.
As a diagnostic you might consider safely disconnecting these in turn to see if the machine makes progress. If it still trips then you have eliminated two possible causes at no cost other than your time.
Continuing good luck...
Peccavi
January 2013