My Ubuntu 13.10 installation does not hibernate, no matter what I do. Although I have Tuxonice and enough swap space to cover the real RAM, it still doesn't work.
Is the problem specific to Ubuntu or to the machine? If it's the former, I'd try to install a different Linux dist, otherwise I'd give up.
Update: VGA compatible controller: Intel Corporation Core Processor Integrated Graphics Controller (rev 18) (prog-if 00 [VGA controller])
I have 50% of free RAM.
There is no problem suspending the machine.
I have tried all the tips on https://www.kernel.org/doc/Documentation/power/basic-pm-debugging.txt.