The Kerol Redi-Cloths is a debriding agent, but you may also try a pumice stone, you can use it wet or dry (along with the Kerol). The best way to soften the wart is to soak it in water.
My Grandma had a home remedy for warts, and it worked for me and I don't know why, what she did was buy it from me! She asked how much I wanted, I told her it wasn't worth nothing, how about a dime, and a week later it was gone. I was using Compound W for a month and it wouldn't vanish, this trick always worked for Grandma, she said it never failed.