[@Balance]

First counterargument: God created reason and is a God of logic. He definitely does operate on our logic.

Second counterargument: The computer analogy is flawed because Existence isn't a case; it's its own system entirely with underlying interworkings. So it would be significantly more like one operating system running on binary and another running on goats. One makes no sense to the other, and they don't properly represent Existence as a whole, because whatever logic the System and Subsystem operates on in the logic that all of Existence must follow. One operating system, two opposing materials.