OS X Mavericks upgrade - disk/partition failure I'm on OS X Lion on my Mac, I have downloaded OS X Mavericks and executed the upgrade.

My Mac restarted and executed the upgrade process, but after a few minutes the update stopped because my OS disk partition "My Macintosh HD" is corrupted. So I tried to check and fix the disk using Disk Utility but with no luck.

Can I stop the upgrade process and execute my current OS X Lion again, then copy my files, and make a clean new setup? I can't find any way to do that.
I had this and I found that I had to have Disk Utility repair both the disk (top level in the tree) and the partition (second level).