If the snapshot disk is a delta disk, then the size of the snapshot disk created should increase when going on working with the virtual machine ?
I could just give you the answer however read the previously linked KB as it answers that question and more! Image may be NSFW.
Clik here to view.
But the snapshot disk files from Snapshot-X created on Date-X a few months ago (with a size of 3 GB now) still have a file date value of: Date-X !
Yeah that certainly sounds right under the right conditions however I prefer to deal in technical facts so if you want proper analysis then provide the vmware.log files and a directory listing of the target VM showing filename, size and date/time stamps. Archive (compress) into a single .zip file and attach to a reply.