Pumice is very abrasive. The Lava brand comes to mind. I make a
soap with pumice,
coffee ground, and orange oil that I label for mechanics to scrub the grease out of their hands. That is the only use for pumice in a soap. It doesn't feel nice on the skin. If you want to let go of Irish Spring, choose a nice handmade soap. They are so much better for your skin because they keep the natural glycerin instead of squeezing it out like the commercial brands do. In addition, they usually contain a fair amount of olive oil which is very good for the skin. You can make your own soap fairly inexpensively if you read up on the process and learn it well. You can even make soap out of oils from the grocery store like lard, olive oil, coconut oil.