what are the extra 13 paritions? root user security concerns?

I want to note that when I do reinstall all of my software, I plan to setup my less secure applications (such as pure data which requires the Xquartz server, applications that require full Javascript, and remote connections), to be run on a STANDARD user account, another STANDARD account for personal information such as email, online banking, etc, and have my administrator account simply for troubleshooting. I will be using filevault to encrypt my drive as well. I have been told these methods would be the most secure approach, especially if I add my boot-camp windows partition, but again, I just want to ensure that I am starting from a fresh, secure, system after everything that has happened before I go about re-installing all this insecure software.

ClamXav listed is as "possible malware", and they were just folders buried in my library with a long string of digits. I just pulled my backup drive out and reformatted after finding them, but I am now trying to get to the root of this, no pun (originally) intended.

Any ideas how to permanently remove these partitions from my HDD? I have tried forcible ejecting them after finding one other person in a random unix thread who experienced this issue, and was able to use "hdiutil detach /dev/disk[#] -force", which unmounts them even though they are automatically mounted from startup, but they still reappear when I reboot my computer. I think I tried to reformat them using "distkutil secureErase" method as they are not attached to my LVG I believe, and I think that erased them and reformatted them, but I wasn't sure if that actually wrote over them with zeros or just reformatted them. Either way it leaves 16 hidden partitions on my HDD, and I am unsure how to convert those back into my regular HDD (because they are hidden partitions). Any help on how I could go about deleting these /dev/disk partitions and simply reformatting my HDD to a normal JHFS+ after securely writing over these partitions would be awesome. I would just use Carbon Copy Cloner and fully wipe my drive and fusion structure but its obviously too late for that now, and would just bring me right back to where I am. Thanks again for any extra advice...

These are photo screen shots with the UUID's covered, showing the output of "diskutil cs list" and "diskutil list".

I need to note that I have since re-separated the fusion drive in and then did a secure erase 1 pass of zeros over the HDD thinking that would solve the problem after realizing that these were not apple boot components, but I checked the output of "diskutil cs list" and "diskutil list" again and they were all embedded in there just as before. In response to someone elses comments I have made multiple encrypted .dmg files, but I thought I have only made around 4 or 5 EVER, not all these other ones, and was unaware that they stay embedded in your drive as partitions even after reformatting it. I also see that part of disk one and part of disk three are still fused together as a LVG, which makes this even more confusing. I cannot understand how all these partitions ended up like this, I did not intentionally add a SINGLE partition to my drive, and never separated the fusion drive until just the other day when I noticed all these extra partitions that couldn't be deleted. I'm beginning to the think the only solution is to do a one pass DBAN over both the drives, and then, (hopefully) I will be able to re-attached them in a fusion drive (which I have been able to do once now), and use an old snow leopard install disk to upgrade back to my Yosemite. Is that my best bet, and are there any risks involved with even doing that? If anyone has any other recommendations on a a simpler, safer way to delete all this extra stuff, and just get myself back to the core components so I can re-fuse my fusion drive and download as fresh OS, I would be beyond grateful.

I know this is a complete mess, and I spent so much money on this system.... having it this deranged is so stressful because I need this system up and running for my work......and I cannot afford a to replace these drives.

THANK YOU. Any substantial help at this point is beyond appreciated!!!!!

This does look remarkably similar to what I'm experiencing, and I had previously wiped my drive, which had a copy of windows 8.1 boot-camped, and the zero-pass wipe was (unknowingly at the time) unsuccessful, and reinstalled a copy of OSX.

My only worry is that my earliest time machine backup is from AFTER I (thought) I fully deleted my drive, and re-installed the OS X. So I am worried that using his recommended method will only bring me back to the same place I am now, because it would most likely have saved these partition structures (I know CarbonCopyCloner would have), but maybe time machine won't. So I'm going to go ahead and give it a try.

I consider myself pretty tech savy, but the repair core storage method looks incredibly complicated, along with the fact that I would have to edit a lot of his instructions to fit my particular situation, and could not copy the directions exactly, because of slightly different information, and I know how easily I could brick my hard drives for good going that route.

So thank you very much for find this link, I do think this is the root of my issues. I have proceeded to start the second method, and am already running into some commands not working, but I will try and figure it out and post back here if I cannot.

THANK YOU again, so much.

These instructions are almost the exact same thing I tried earlier, missing just one step before separating my fusion drive. His recommendations are to fuse back together my disk0s2 (which is my Apple_HFS HDD), and disk1s2 (my Apple_HFS SSD). But I am curious if a standard fusion drive also includes the OSX Base system? I realize it might not let me fuse together three different volumes and limit it at just two, but I feel like that would be a lot better than simply hoping my recovery install doesn't actually just revert me back to the same position I am in now, or worse if there is any issue with my time machine backup. Does anyone know if I would be able to fuse together the two volumes listed above, as well as the OSX Base System, which would be disk2s2 in my case? If so, this sounds like a lots safer method, as long as the base system is not somehow embedded with all the other disk partitions as well.

To make the question even simpler, does anyone know a command (or if its even possible) to fuse together my SSD , HDD, and then only the the Apple_HFS OS X Base System? My understanding is that when you fuse a drive, if you create a fuse using command "diskutil cs create disk0s1 disk2s2", for example, it only fuses those aspects of the drive, not everything in between as well.

So I know I could do

"diskutil cs create "Fusion" disk0s2 disk1s2" and re-fuse my SSD and HDD, but I would ideally like to simply add disk2s2 as well (but not the parition scheme and map in between), so I can have my OSX Base System included in the new coreStorage Fusion Drive

WHEW! nevermind! thank you for your article, I might have screwed things up even more if I didn't read that first. I see that fusing drives actually re-formats and wipes all the data on them as well, (I'm surprised I didn't think of that)...but that is clearly why the other article only has me fusing together my SSD and my HDD.

followed the guide every step, and used my earliest time machine backup, and just as I suspected I am right back to square one, minus the compromised root files. But I still want to completely delete all of these extra partitions! All of these extra paritions are NOT part of my Logical Volume Group, and are not coreStorage parts. I simply want to delete /dev/disk4 up to /dev/disk16 ......... "diskutil secureErase 1 /dev/disk4" (for example), was what I had tried, but it only writes over the paritions (and not all of them, just most of them....oddly some of them refuse to mount despite showing up in diskutil list). I feel like this has to be such as simple command to delete these partitions.....