At first the notebooks did work fine but still they got warm although no excessive processor use was seen in the resource monitor.
As a result I got the event 41 for the Kernel-Power with the message "The system has rebooted without cleanly shutting down first.
At the end of the day I closed the notebook lid but letting the notebook still operate to let the automatic do its work during the night.
The notebook was still working fine the next day and no critical events (41) were logged.
If it does, there is a change your PC is overheating.