It's been quite a while since I've posted anything. I really hate to be gone for a lengthy time and then have my first post be so nasty. But...
That "simple proof" is the dumbest thing I've ever read. I do hope that the person who composed it is a high school kid in the middle of his first logic class. That would at least make it understandable. If this comes from an adult expecting to be taken seriously, then there's really not much left to do but shake your head.
To begin with, he simply assumes that Pope Benedict is guilty of serious sin. That's an awfully big assumption. Particularly when you've never even met the person you are accusing. But, even assuming that the Holy Father did exactly as this guy claims he did, so what? People commit serious sin. That's what people do. That's what this whole redemption thing is all about. If we didn't seriously sin, we wouldn't need to be redeemed. Fortunately, as another poster pointed out, the legitimacy of the office doesn't depend on the holiness of the priest/bishop. That view is the heresy of Donatism. Google it. The legitimacy of the office depends on the holiness of Christ. And, thanks be to God for that.
As far as his quote from Timothy goes, let me refer that one to another well know sinner, St. Peter. "And consider the patience of our Lord as salvation, as our beloved brother Paul, according to the wisdom given to him, also wrote to you, speaking of these things as he does in all his letters. In them there are some things hard to understand that the ignorant and unstable distort to their own destruction, just as they do the other scriptures." 2 Peter 3:15-16.
If you wish to respond to this character, I would suggest the above would be a good place to start. But, considering some of his quotes...
I’m not sure exactly what the trickle-down effect is if this is true—I’ll let Catholics work that out—but I imagine it is somewhat debilitating.
And many Catholic bishops are not even Christians...
I don’t hate Catholics, though I do hate evil institutions such as the Catholic Church.
I really don't know why you would bother with him. He's obviously an extremely arrogant person, who "hates" the Catholic Church. One is not really interested in discussing with an open mind the merits of what one "hates." Chances are he's much more interested in expressing his nasty opinions and "proving" his ignorant points than he is in actually learning something.
So, respond if you feel compelled, but don't be disappointed if you end up just beating your head against a wall.
Again, sorry my first post back is so negative.