Help how to fix computer turning off after 5 minutes

[Technology_1]

Help how to fix computer turning off after 5 minutes
Specs
I5 3570
4gb ram
80 plus gold psu 250 w

 

[Jasjar]

How hot does your CPU get?

 

[Technology_1]

How hot does your CPU get?

79 degrees on load

 

[Jasjar]

That is too hot, have you replaced the thermal paste?

 

[Technology_1]

yes