Hello everyone!
I just installed CoR, and I'm getting the lowest framerate I ever noticed: stable 5 FPS.
My Pc specs are IMMENSELY superior to the minimum requirements:

OS:Windows 7 64bit
CPU: i7 4770
Graphics: Gigabyte GTX 770 OC 2GB
Ram: 8GB

Since I don't have even the slightset idea of what the problem might be, could you please give me some help?

Try disableing Anti-Aliasing in the nVidia control panel. Some older games break newer Anti-Aliasing techniques (like MSAA, CSAA, FXAA etc.).
If it runs better you can still turn AA on again on a lower level and see if it works.
There are also rumors, that the game may have problems on multi-core machines, that is more than two cores.
I've had no problems here on a 2-core system, but the i7 4770 is a quad-core so it might be worth looking into this.
Start the game, Alt-tab out and open the Taskmanager (Ctrl + Shift +Esc). On the Processes tab search for the games process, right-click it and select "Set Affinity...". Now uncheck all but two CPUs and go back to the game. I'd also check how it runs on only one core. Unfortuantely these sttings aren't saved yo you have to do it every time you start the game (or write a batch file).

I did what you said, but nothing changes... I keep on getting between less than 1 and 5 FPS.

EDIT: I think I solved my problem, though I did it by chance and not because I really knew what I was doing! ;)
The only thing I had to change was this: in the "environment.cfg" file, I modified "GL_SHADERCOMPILETHREADS=1" in "GL_SHADERCOMPILETHREADS=0". I guessed it could improve the performance, but I would have never thought it could increase the framerate from 5 to 60!

Since you explained it way better than I could (when it comes to this I'm more like a shaman than a technician XD), I'm marking your last reply as "Solved". This way, other users might come to check for a possible solution!

I also have 1-5fps I attempted the above solution but no dice for me. even in lowest detail and in 800x600 still 1-5fps

Riddick-ulous that a 2009 game runs so slow and COD Advanced Warfare runs at 100-120fps

I Have:
i7 4790k @ 4.0ghz
16Gb DDR3 RAM
Gigabyte Geforce GTX760 OC Edition with 4gb GDDR5 RAM
Windows 7 (x64)
A Migraine!

Try lowering your AA settings in your graphic card's control panel, or better turn it off for testing. If some of the resource intensive graphic enhancements aren't working properly, it can slow your system massively down, no matter how new it is or how old the game. 3D graphic is all about optimized acceleration. Although hardware has improved, the older games were optimized on older configurations and drivers. Newer graphic drivers sometimes break things, which are often fixed again in the driver's next release, so check for updates there, too.

Also check if the overclocking features of your card are interfering somehow.

Just thought I'd say the solution here worked for me - I was having framerate issues on my laptop even with the dedicated graphics card, but changing that line in environment.cfg made a massive improvement!
For reference my processor is an i5-3360M @ 2.8GHz and my graphics card is a GTX 660M 2GB.

I already tried that I edited the environment.cfg as that worked for other users and I even ran with no AA, no AF, details set to lowest and 720p and no dice.

Try this, for my worked:

Go to the nvidia Control Panel - 3D settings
In the drop down menu look for "The Chronicles of Riddick - Assault on the Dark Athena", and select it.
Now in the box below, look for "Thread optimization" and set it to disabled.

Enjoy.