In reply to Dave the Rave:
Look on the side of the can for what chemicals are in the spray. Then google to find what solvent you need to try to dissolve them.... Then test it pretty carefully on your lino before pouring it everywhere.
It seems very unlikely that water is going to be the solvent of choice to remove a waterproof material! :P
Edit: Or, if you can't find what the right solvent is, try nail varnish remover (acetone) or meths (ethanol and methanol) or an ether or hexane or pentane. The ether/hexane/pentane is the most non-polar out of those and water is a very polar solvent, so ether/hexane/pentane is perhaps the most likely to work. petrol is mostly mostly non-polar solvents too but you might be better off just living with the slippy lino than pouring that all over your bathroom!
Post edited at 20:35