Jerri,
As the file_Monitor is active it has already been submitted ... thus the Abandon Submission would not work for your situation ... what I suggest you do is create a self-completing task that would launch at the abandon submission time you wanted, to force complete your File_Monitor and any subsequet jobs you need not run ... (just remember to bypass successor jobs before you complete the file_monitor otherwise you will cause them to start running inadvertantly.) ... you would then imbed an esp command to force complete the self-completing task in one of your succesor jobs so that the process cleans itself up when the file does arrive before the abandon time.
Hope that helps.