I can get a pair of pliers to grip the bolts, but they’re not moving. Currently squirting them with WD40 every time I walk past them.
I tried smacking them, before and after I drilled the heads off. Wondered about heating them, but I think I would melt the shoe.
There are a spare set of bolt holes, and that is my last resort – i think to be able to use them i would need to get rid of the bolt stubs in the other holes. Plus the cleats would be in the wrong position. Which admittedly would be better than throwing the shoes away.
I think the reverse thread extractor is my next plan…
(and I greased the bolts very thoroughly before I fitted them….but that was probably five years ago….do people remove, clean and re-fit them periodically???)