Ah - then the new skirting board and the socket off and back on again were red herrings - sent to confuse... At least you've eliminated the socket...
Best to replace the socket first.
The RCD (bigger two pole device) usually provides power to all the circuits in the house - upstairs, downstairs, power, lights, cooker etc. Either the RCD is playing up (very unusual) or one or more electrical devices is developing a fault.
You say power was OK for a full ten munites and then the RCD tripped. Perhaps a device that has the ability to switch itself: Fridge - Washing Machine - Dishwasher - Boiler - Immersion Heater got to a change point after the ten minutes and tripped your breaker.
If you disconnect each circuit in turn (flip the breaker off) you will be able to eliminate the specific circuit and the devices on it - will take time though - just how long should you wait to be able to say that you've made progress. At least ten minutes... Don't let the freezer defrost!
Good luck...
P
June 2009