This question resolves to YES if the physics and astronomy communities reach a consensus on the question.
Aug 14, 9:40pm: We're using Carl Sagan interpolating formula
where value K is a civilization's Kardashev rating and P is the power it uses, measured in watts.
This question can only resolve YES. The only way we could be technologically advanced enough to rule out any other type 1 civilizations in the entire galaxy is if we've already reached that level ourselves.
I'm not betting more because this is going to take a while to resolve, and I don't fully trust that it'll be resolved correctly.
@Duncan I assume this is using the definition of "a civilization that can harness all (or almost all) of the energy that reaches its home planet". For us that's about 10^17 watts, and we currently use only ~10^12 watts of solar energy.
I know that's not Kardashev's original definition, but it's the one that seems to have caught on most strongly. (It's also very elegant, which I think is a plus.)