The "death promoters" have a heinous solution to warts. It is called liquid nitrogen. a little swab, and a few days leter, the wart falls off.
I have my own home remedy based on the same principle. A soldering iron. I found that there is no pain until you burn into the healthy tissue. Simply apply the iron to the wart, grit you teeth, and do it. You want to raise a small blister under the wart. Never had a return this way. THe effect is the same as liq nit, but defnitely not for the faint of heart.