I think it's more intellectual, when our brains reached a point of computation and our ancestors began to question their existence, even worshiping whatever gods they thought existed- when we first became incredulous with our purpose in life. Well, the more I think about it though- physically, we progressed above the Neanderthals and lived beyond them. That was also important.
Yes, we, as humans, are competitive, Nohensen. We are a prideful people obsessed with being the best- that is, everyone thinks they are superior to the rest of the world and strive to prove it. But it will become increasingly important for us to coexist peacably, I think.