After soaking it in penetrating oil for a full week, I gave it a solid twist with a long pipe wrench. It finally broke free, and the inside of the tube was just caked in old, dry grease. Has anyone else found a better method for really stuck posts?
I used to swear by ammonia for stuck posts, but a week of penetrating oil like you did saved my old Peugeot. Zarapalmer's story about cutting the frame is exactly what I wanted to avoid. That slow soak method really changed my mind.