Apostolic Succession is the best example I can think of. From what I can tell, it seems to be a strange, almost mechanical transferral of authority and power, via the sacrament of “the laying on of hands.” And then you know who's in charge. No need to think about it any further. See what I mean? Lazy thinking.

But of course, it doesn't really solve anything. Questions start arising immediately. Who really has Apostolic Succession? How do you verify or deny somebody's claim when they trace back their authority to an Apostle? And if you were ordained by an apostate Bishop, does that count? Can a Bishop ever “lose” his authority? What if a Bishop converts to Protestantism; does he carry his “apostolic succession” over with him? etc. Attempts to define authority mechanically never succeed; instead, they create a complicated and confusing machine.

Likewise, the Ecumenical Councils have authority, but that doesn't mean they're perfect. That is to say, the Ecumenical Councils are right because they're right, not because they're Ecumenical. Yes, I recite the Nicene Creed, and I believe every word. But Presbyters are not guaranteed infallibility simply by gathering together in large numbers. Debates over the 7th Ecumenical Council would be a lot simpler if people granted this.

Not even the Bible is mechanically inspired. It has numerous typos, and textual variants. Lazy thinking dictates a simple, clear-cut theory: every word in the Bible is perfect...verbatim. Well, if that's your theory, you're going to have endless arguments about textual variants, and you won't get anywhere. In your quest for an absolute solution, you won't find any solution at all.