I've been waiting to see if there was a resolution for my problem, but
unfortunately, there hasn't been. So, here I am.
My desktop is a Gateway DX4885-UR2D and is using an Intel HD 4600 graphics
onboard GPU.

On Monday, 21 December, I was doing my updates through zypper,

Code:
zypper ref;zypper up

There wasn't any out of the ordinary updates, with maybe the exception of
xf86-video-intel, which I didn't think anything about. Until later (at around
6PM, almost 8 hours later)!
I was watching videos using vlc and my monitor and HDMI TV both blanked and the
sound stopped. Thinking that there had been a power outage (but that was a
false assumption
I would realize later as everything else that ran off electricity was still
working). I powered down my desktop through its power button, and restarted.
I was still under the assumption that it was a power outage at this point,
until it did it again. This time, I noticed that everything else was still
powered.
My thoughts went to thinking that it might be a software issue, and rebooted
into a runlevel 3 through grub2.
I reverted the aforementioned xf86-video-intel to the previous version and
rebooted back into runlevel 5.
It had been for naught, because it continued to blank out without sound.
Rebooted back into runlevel 3 and tried to logically figure out the problem.
At the same time, I was working on another computer, so I had stopped doing
anything on the desktop (wasn't typing or using the mouse).
It blanked out again. A tap on the keyboard brought the screen back. It then
clicked on me.
I started a timer on my cell, and found out that it blanked out after 10
minutes. I tried that a few times just to verify. I rebooted back into runlevel
5, and started up vlc.
It blanked out after 10 minutes. All I had to do was move the mouse and the
screen and sound came back. The movie hadn't stopped or anything.
I also noticed that it would revise the amount of time to blank, from 10 down
to 5 minutes.
I've checked through every configuration setting, whether it was vlc or
Configure Desktop, or even through Yast.
I did find that upowerd was running (which it shouldn't because I've always had
it disabled), and stopped it (through Yast).
At this point, I'm wondering if anyone else is having this problem.
And even if not, does someone have any ideas as to which direction I should be
looking at next?