It crashed (because it ran out of memory) trying to print this error message:

Out of memory.
Your swap file is too small, only 7 MB of free space left.
Increase your swap file size or delete some files from your hard disk

The game was using about 1.3GB of RAM and ran out of space.
Your pagefile is too small and you also seem to not have enough RAM.

Yes

PhysMem: 7.9 GiB, AvailPhys : 2.9 GiB

You have 8GB of Ram, and only 3GB were free when you tried to launch Arma.
Thats not enough. Arma needs atleast 4GB of free memory to run.

You could try running 32bit Arma, it will use a bit less memory. And also try increasing your "page file" size, google will have some guides.

Hello, thanks a lot for the answer, he is now running fine.