>Science looks for a system which can exist without supernatural intervention, but the creation of time/space/matter doesn't fit within those constraints.

So our universe must fundamentally be a supernatural creation?

That's an extraordinary claim, what is your evidence? We currently have insufficient data and incomplete theories to fully describe the origins of the universe, sure. But how is this different from someone 500 years ago saying:

"Science looks for a system which can exist without supernatural intervention, but the creation of the Earth and humanity doesn't fit within those constraints."