I too got this problem after installing the following Windows Update:
Cumulative Security Update for Internet Explorer 11 for Windows 7 for x64 based systems (KB3134814)
It seems that this update actually installs two separate updates: 3134814 and 3141092.
I uninstalled 3141092, restarted, and then SafeZone Browser was able to connect to internet sites.
Please update. I'd be interested to know whether this solves your problem too, or whether you've found another resolution.