CIS Antivirus failed

I use latest version of CIS 3.5. My last scan(scheduled scan) showed me 3 infections - TrojWare.Win32.Hacktool.Prockill. I thought that its false detection. But my SpywareTerminator detected next problem Backdoor.Generic 122602. Its something wrong. :o
Why CIS Antivirus hasnt alert at the moment when TrojWare was installed to the PC?
I think…firewall isnt problem because I used CFP 3 with Avast 4.8 since January and I hasnt problem with spyware or viruses.
How can I do make my computer safety?
Thank you for answer

After install Avast 4.8 (without CAV) detected next 6 viruses 2x Win32 Trojan-gen, Win32 adware gen (ad. software), Win32 LdPinch-Eu and Eicar - test file.

Hey, Welcome to the forums (:HUG)

Perhaps those files are dormant and that’s probably why CAVS didn’t detect them “on access”
You have to remember that no anti virus today is 100% and that they will miss viruses and others will detect them vice\versa.

Your first line of protection should be Defense+