Can mutation and selection increase information?

This is where the question comes in whether mutations could provide the necessary genetic diversity to keep on changing. My short answer is that if they could they would have saved the cheetah by now.

With a single phrase Words don’t reproduce New Cat’s Eye has tossed all the population genetics in the garbage (its proper place, too). Attaboy!
And yet, would the clone revolution be able to spontaneously evolve to such complex form as, say, counterrevolution? Apparently, point mutations are of no avail here: there are merely no fit enough intermediate forms, between revolution and counterrevolution. Incidentally, this is the very case of the so-called irreducible complexity associated with the notorious William Paley’s doctrine.
Paley or no Paley, the problem of irreducible complexity is the sad evolutionary reality, and we are to consider the possibility of macromutations, along with those point. Say, 7-fold chance mutation +counter would settle the problem, yet what are the chances for such a lucky occurrence to happen?