I am currently playing The Last of Us on my PS3 Slim and have been running into various technical troubles.
The first being the infamous auto-save bug, the second being the game loading forever (I don't even get as far as the Main Menu), the third being the PS3 no longer loading anything ingame, effectively halting any and all progress until I reboot the game, and the fourth being my PS3 crashing, whenever I try to access the Home menu while I'm still ingame after playing the game for more than half an hour.
The first issue was apparently resolved by Naughty Dog without the need of a patch, and the second was "fixed" by deleting the 1.01 patch and re-installing it.
But what about the third and fourth issues?
Considering the fact, that it is currently summer in the Northern Hemisphere and ambient temperature inside and outside my home is ~30° Celsius, and that my PS3's fan become extremely noisy after 5 minutes after launching The Last of Us, I assume that temperature may be a problematic factor while gaming.
Since I neither have air conditioning nor a fan to cool my room, there is no way I can be certain about the guilt of the summer heat.
tl;dr
Is it safe to play a game as demanding as The Last of Us on a PS3 Slim, when ambient temperature are at 30° Celsius (that is: are the third and fourth issues I encountered, bugs from the game?), or should I wait for things to cool down a bit?