Superhumanism and Social Darwinism

It is said that cockroaches could survive a nuclear war that would destroy the human race.  On the other hand, there is no question that Humans are more complex organisms than are cockroaches. Thus, there is no correspondence between Evolution and Survival, i. e. between increasing in complexity, and staying alive, an equivocation that is at the heart of Darwinism.  Likewise, there is no correspondence between so-called Social Darwinism, based on the 'survival of the fittest' principle, and Superhumanism.  Indeed, there is no correspondence between Humanism and Social Darwinism, since the latter does not recognize any essential difference between humans and cockroaches.