The liquid graphite failed to ease the gas cap lock into functioning. I thought, perhaps, that if I removed the lock ring from around the cap and lock mechanism, I'd be able to reach the outside of the lock. Unfortunately, that's not how the cap is constructed. The outer ring functions simply as a stabilizer and alignment device for the actual cap. Due to the fact that the cap is hinged to the lock ring, the lock ring can not be removed by unbolting it from the tank. The teeth engaged through the lock hold the entire assembly in place even when the lock ring's bolts have been removed.
I'm going to seek assistance from some older riders to see what they suggest. And a few prayers to the gods of the open road probably wouldn't hurt either.