It's my pleasure, and don't worry about the delays.
On the page I've listed in my last post there is a section called Woran erkennt man die verdächtigen Varianten?
somewhere in this section is a blue highlighted text -> "8 weitere varianten" you have to click on it to expand some hidden text.
Ah...I see now...missed that part! Thanks!
I compared the file size of wmiprvse.exe on another desktop pc and it was the same size to mine version on my computer.
I scanned the file with VirusTotal, but it says it is not harmful to my pc and part of the windows operating system.
Okay, then you should be good to go!
As you can see Virustotal will scan the file with several different antivirus vendors, so if it's not detected by them, then 99.9% of the time you can be sure it's safe (there can be times that AV vendors could be fooled, but this file is certainly not one of them).
That MBAM log is very hard to read, but it looks like it removed 3 Search Protect entries. If you're not experiencing any problems with your computer, then you should be fine.
However, if you'd like me to give your machine a quick 'once-over'...simply post back and let me know!
...Otherwise...Stay Safe! <--Everyone Read This!!