When relations (i.e., two-place properties) are taken into account at all (e.g., Dale and Haddock 1991;Krahmer and Theune 2002), the motivating examples are kept so small that it is reasonable to assume that speaker and hearer know all the relevant facts in advance.
search is not much of an issue (i.e., resolution is easy): The hearer can identify the referent by simply intersecting the denotations of the properties in the description, for example, intersecting the set of girls with the set of individuals who wear a yellow dress (both in the domain).