MBP 15"/2011 loading after switch on approx 6.5 min?

Please repeat Step 1 and post the output.

You haven't removed any of the items I mentioned in my last message yesterday.

Any third-party software that doesn't install by drag-and-drop into the Applications folder, and uninstall by drag-and-drop to the Trash, is a system modification.

Whenever you remove system modifications, they must be removed completely, and the only way to do that is to use the uninstallation tool, if any, provided by the developers, or to follow their instructions. If the software has been incompletely removed, you may have to re-download or even reinstall it in order to finish the job.

Here are some general guidelines. Suppose you want to remove something called “BrickYourMac.” First, consult the product's Help menu, if there is one, for instructions. Finding none there, look on the developer's website, say www.brickyourmac.com. (That may not be the actual name of the site; if necessary, search the Web for the product name.) If you don’t find anything on the website or in your search, contact the developer. While you're waiting for a response, download BrickYourMac.dmg and open it. There may be an application in there such as “Uninstall BrickYourMac.” If not, open “BrickYourMac.pkg” and look for an Uninstall button.

You may have to log out or reboot in order to complete an uninstallation.

If you can’t remove software in any other way, you’ll have to erase your boot volume and perform a clean reinstallation of OS X. Never install any third-party software unless you're sure you know how to uninstall it; otherwise you may create problems that are very hard to solve.

Trying to remove complex system modifications by hunting for files by name often will not work and may make the problem worse. The same goes for "utilities" that purport to remove software.

I can not find BrickYourMac.dmg.

That was a hypothetical example, not an actual file.

Also please advise how to perform a clean reinstallation of OS X.

Back up all data to at least two different storage devices, if you haven't already done so. The backups can be made with Time Machine or with a mirroring tool such as "Carbon Copy Cloner." Preferably both.

Boot into Recovery mode, launch Disk Utility, and erase the startup volume with the default options. This operation will destroy all data on the volume, so you had be better be sure of your backups. Quit Disk Utility and install OS X. When you reboot, you'll be prompted to go through the initial setup process. That’s when you transfer the data from one of your backups.

Transfer only "Users" and "Settings" – not "Applications" or "Other files." Don't transfer the Guest account, if it was enabled on the old system. Test. If the problem is still there, you have a hardware fault. Take the machine to an Apple Store for diagnosis.

If the problem is resolved, reinstall your third-party software cautiously. Self-contained applications that install into the Applications folder by drag-and-drop or download from the App Store are safe. Anything that comes packaged as an installer or that prompts for an administrator password is suspect, and you must test thoroughly after reinstalling each such item to make sure you haven't restored the problem.