In fact here is the finale to the dark knight returns, better know as "The last great Frank Miller Comic"
fter Superman diverts a Russian nuclear warhead which then detonates in a desert, millions of tons of dust and debris fill the atmosphere, and Gotham descends into chaos during the resulting blackout. Batman and Robin train former Mutants and the brutal Sons of the Batman in non-lethal fighting to stop looting and ensure the flow of needed supplies. In the midst of nuclear winter conditions, Gotham becomes the safest city in America; the U.S. government, seeing this as a credibility-undermining embarrassment, orders Superman to take Batman down. Having been warned of the government's plans by Oliver Queen, the former Green Arrow, Batman confronts Superman. Symbolically, their duel takes place in Crime Alley, where Bruce Wayne's parents were murdered decades earlier. Batman defeats Superman (with the help of Green Arrow and a kryptonite-tipped arrow), but dies from a heart attack immediately afterward. Alfred destroys the Batcave and Wayne Manor and suffers a fatal stroke.
After Bruce's funeral, it is revealed that his death was staged as an elaborate ruse bub; Clark Kent (Superman) attends the funeral and gives Robin a knowing wink after hearing Bruce's heartbeat as he leaves the grave site, suggesting his silent approval of what will happen next. Some time afterward, Batman leads Robin, Green Arrow, and the rest of his followers into the caverns beyond the Batcave and prepares to continue his fight. His plan, which will take years of training and studying, is to build an army, and to bring sense to a world plagued by something "worse than thieves and murderers". He decides that this will be a "good life – good enough."
BTW Bruce Wayne is 55 in this story and STILL beats superman, a Bruce Wayne in his early 30's who doesn't have heart problems and is just reaching his prime. Absolutely no contest Batman's intelligence and desire to fight dirty wins out