I'm also having this extremely frustrating issue. I've been searching for answers for hours! I was using the trial version for about a week on Windows 7 with no problems, now the program will open, flash for a second and disappear. A moment later a box pops up asking if I would like to continue the trial or license the software. When I click continue trial, the box disappears and nothing else ever opens. I have no desire to license the software, seeing as people are purchasing the program and still having the same issues.
I have removed and re downloaded the program several times, I've signed out from the Creative Cloud and signed back in. I've removed the Creative Cloud and downloaded it again. I've gone into my local and roaming folders and deleted all the InDesign folders, trying to rid myself of the old preferences and nothing seems to work!! I've also updated my graphics card driver. I'm running out of ideas!!