Common sense, a zero ability proccess can't produce something a lot greater, look at computers for example.
An appeal to common sense is a fantastic invitation to arrive at an incorrect conclusion.
Common sense would have told you that lightning bolts in the sky were being thrown by an angry god.
Common sense would have told you that earthquakes were caused by some invisible, powerful, angry god.
Common sense would have told you that if you drop something the weight of a feather and something the weight of a mountain of the top of a building, that the heavier item would hit first.
Common sense would have told you that if you treated a head cold by buttering your left big-toe three times a day for seven days, that buttering your left big-toe three times a day for seven days cures a common cold.
Your computer analogy makes no sense, common or otherwise. Bog-standard computers aren't intelligent, but they produce results that exceed our capabilities.
If you are trying for the "intelligence can only come from intelligence" nonsense, then save yourself the embarrassment and stop. It's a great sound bite but it falls apart the moment you actually think about it critically.
According to that line of reason, you'd need something more powerful than a universe-creating god to produce a universe-creating god. But, of course, that's different. Why? Well, it's only common sense that a universe-creating god doesn't need creating because it's always existed and it's so much more convenient when the special case assuages that pesky cognitive dissonance.
Yeah. Whatever.
That's just special pleading pretending to be some deep philosophical "truth" - aka a blatant double-standard. Or maybe it's just common sense in the same way that electrostatic repulsion is the non-obvious, non-common sense reason why you can't put your hand through something solid. Or, indeed, be in physical contact with that surface.