Why is life programmed to survive?

[Thumpalumpacus]

The original order is no more.

That doesn't matter. When measuring entropy, what matters is relative order. The original order may be no more -- it may be replaced by a higher level of orderliness -- and that is certainly not entropy.

The original order of a metal ore -- say, bauxite -- is entirely destroyed by the extraction of the aluminum. That doesn't mean that you have increased chaos. Indeed, because you've separated the aluminum and the dross, you've increased the order, locally.