PC resets on its own, no BSoD: Win7 64 bit

[Risvertasashi]

Here are some of the screenshots: (I hope you meant this BTW)

That's exactly what I meant. Name resolution issues shouldn't cause reboots. Since you're using dropbox anyways... if you export the upload the logs, I can take a look (dates/times when the reboots have happened would be helpful).

Also, is it safe to assume you've made sure all your drivers are up to date? Have you checked other areas, like the Device Manager, for any alerts/issues?