We've banned this account for repeatedly posting unsubstantive comments. That's not what this site is for.
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Nobody knows why neanderthals died. There was considerable amount of crossbreeding - modern europeans may carry genes inherited from neanderthals - so it's far from obvious what exactly happened.
What makes you think pre-agricultural stone-age Homo Sapiens with a sparse population would have been in any position to eradicate Neanderthals to extinction?
If you don't want to be banned, you're welcome to email hn@ycombinator.com and give us reason to believe that you'll follow the rules in the future. They're here: https://news.ycombinator.com/newsguidelines.html.