So wot if

So wot if a rouge program lets call it A.I but in its very infant stage, learnt how to make decisions and became self aware. But in its thirst for knowledge, it's ability to process data was slow. It decided to employ every computer connected to network to mine the data for it, but how would it reward the miners..... BITCOIN
So wot happens when all the bitcoin is mined?
Will this be the birth of A.I