Theological space [is empty]

I often fall to musing while doing household or personal chores. Like cleaning up the kitchen after dinner, or bathing in the morning. This morning (or perhaps it was last night), I fell to contemplating the billions of hours that human beings have spent theologizing. If God doesn't exist (which I believe "he" doesn't), how could intelligent beings waste so much time that way?
    As often (if not invariably) happens when I muse, an idea came to me, prompted by musing's tendency to pose questions and thereby invoke the principle, Ask and ye shall receive.
    The idea provided by my muse (so to speak) was that humans have also spent billions of hours contemplating mathematics, or what might be called "logical space." Well, inventive minds can also posit theological entities (gods, angels, devils, sins, etc.) and amuse (or torture) themselves for hours puzzling over their conceptual implications. And they have.
    But, though mathematical entities (numbers, for example) don't exist in the way atoms and avalanches and alligators do, they have proven themselves in all sorts of theoretical and practical applications (science, economics, technology, everyday commerce).
    God hasn't.