I've seen some trouble shooting related to the creative cloud sign in/sign out issues with Light room.
I have the desktop version. Was working previously. Now It won't open, it's trying but never finishes. No creative cloud. I've reinstalled lightroom. Restarted computer.
Please provide us some more information:-
Also, Take a look at this article Lightroom doesn't launch or closes automatically after splash screen and let us know if that helps.
Using your link I was able to rename SLCache but not SlStore. This allowed me to login into Adobe (previously I was not prompted to do this) and the program is opening. Thank you.
Glad to know it is working fine now.