That is why our brains got bigger. If the strongest neanderthal ever born came running at you, the invention of a bow and arrow, gun, cannon, sword ec. would make him the weaker opponent.
Indeed, the human brain is almost always considered to be an unnatural element in science, for reasons that totally escape me.
Most large predators are superior to men, unless we pick up a weapon, but we do pick up weapons, so its a mute point. Dismissing the human brain is like dismissing that birds have wings.