What worked for me
I used Daisy Disk (make sure you run it as admin) to diagnose this type of issue, it pointed to log files being created by Adobe's update manager.
They were in here: HD/private/var/root/Library/logs
My process: 1- empty some space in hard drive 2- repair the disk 3- restart in safe mode 4- install daisy disk 5- locate big files and delete them 6- turn off Adobe auto updates
You will need some HD space to do start in safe mode. If you have none, you will need another mac.
To use your mac as an external drive - hook up via firewire or thunderbolt to a healthy mac. Start the healthy mac completely. Connect to the ailing mac with your chosen cable (depending on each macs ports). To use the ailing mac as an external drive (hold CMD+T at startup chime) - this will bring it up on your healthy mac as a drive where you can open it and you can dump some unneeded files in the trash to free up a bit of space.
Then I ran the disk utility (startup chime hold down CMD+R) and verified and fixed the disk after I emptied some space in the hard drive.
To stop Adobe Update from logging I started in safe mode (hold shift at the startup chime).
4- download and install daisy disk (see post above), run it as an admin.
Find those big log files with Daisy Disk, delete them in the finder (give yourself access to do so via "sharing and permissions" starting with the root folder, then Library, then log (in my case). To Change folder permissions use CMD+i .. then add yourself in sharing and permissions: click the lock, enter your password, click the + sign and add yourself, give yourself read and write access).
Turn off auto-updates in Adobe Update Manager.