Similar but not the same: Various versions of (shamrock symbol) do not coincide

We consider various versions of the sic principle. This principle is a know n consequence of lozenge It is well known that lozenge is not sensitive to minor changes in its definition, eg, changing the guessing requirement form "guessing exactly" to "guessing module a finite set". We show however, tha t this is not true for shamrock symbol. We consider some other variants of shamrock symbol as well.