Do you have a good copy of an earlier CCC backup? always good to have more than one so you don't corrupt your good backup set.
Assuming you tried all the disk directory repairs and safe boot, it may be that your system device (ssd?) has to map out some bad sectors or storage cells.
General purpose Mac troubleshooting guide:
Mac OS X: Starting up in Safe Mode - http://docs.info.apple.com/article.html?artnum=107393
What is Safe Boot, Safe Mode? (Mac OS X) - http://support.apple.com/kb/HT1564
Creating a temporary user to isolate user-specific problems:
Identifying resource hogs and other tips:
Starting the computer in "safe mode":
To identify potential hardware problems:
General Mac maintenance:
How to install OS X on a new or faulty HD without Internet recovery
Corrupt and new disks might not have a working Recovery partition, but there are still ways to access one and reinstall OS X, if needed.http://reviews.cnet.com/8301-13727_7-57594422-263/how-to-install-os-x-on-a-new-o r-faulty-hd-without-internet-recovery/How to avoid and troubleshoot kernel panics can help.
About Mac OS X Kernel Panics:
Resolving Kernal Panics