The idea is to post the relevant constraints, i.e., the relations that ought to hold, by using the predicates that the Prolog system provides for constraint solving. After the constraints are posted, one of the search strategies can be tried. Examples of common search strategies provided by constraint solvers over finite domains are "ff" (first-fail) and "leftmost".
If the problem is highly symmetric, then it may be useful to post so-called symmetry breaking constraints, i.e., constraints that remove areas of the search space that are not interesting because they correspond to other parts of the search space that are already tried. Adding symmetry breaking constraints can also speed up SAT-based solvers significantly, especially complete solvers like SATO. These constraints may have adverse effects on local-search based SAT solvers because such solvers tend to work better if more solutions are present.