It really depends what do you mean by "survive". BTC might still exist but it might as well be irrelevant to the general populace as something new and big might come by to replace it.
If by "survive" you mean BTC being the #1 crypto in terms of price and market cap? That might be it as well.
But we've seen BTC already being challenged by ETH at this very moment with ETH passing it in both transactions and nodes.