I was able to get an impressive 75% of the old bottom bracket cups out of the frame (a solid C), but the stoker's drive side absolutely refused to budge. Poured some oil in from the non-drive side, let it seep in (and out the other side onto the garage floor, sorry dear), nothing. And yes, smarty-pants, I know that the drive side bottom bracket cup is left-hand threaded.
I was up against two problems: One, I needed to apply approximately 1.3 metric crap-tons more leverage, and two, I needed a way to make sure that the bottom bracket tool didn't pop off the cup during the application of said leverage. Being unable to plan ahead for my blog posts, I addressed the second problem first:
There's the offending bottom bracket (for ease of viewing, shown -- SPOILER ALERT!! -- after it had already succumbed to my greater intellect and been liberated from the bike), the bottom bracket tool, and a rear skewer. You could just as easily use a quick-release, but I went with what was handy. Put 'em all together, and you get this:
Ain't no way, no how that tool's popping off now. So all we need is approximately 1.3 metric crap-tons of leverage, which comes courtesy of the Cylindrical Leverage-Enhancing Tool Utilization System (CLETUS):
The CLETUS is available in a wide variety of lengths specifically calibrated to deliver the exact metric crap-tonnage of force needed for precise extraction. I selected the 609.6mm model, affixed it to my wrench, grasped it with the opposable thumb shown, applied force with the hairy Neanderthal forearm shown, and proceeded to remove that cup like nobody's business. Then this happened:
So I got that going for me, too.