Semantic resolution refinements are a very efficient way to restrict the resolution rule. Their principle is to avoid resolution
between clauses that are true in a certain interpretation. In this way, the number of deduced clauses can be decreased drastically,
and deduction can be restricted to clauses that are interesting from a semantic point of view. In this article, we present
a semantic refinement of a resolution decision procedure for formulas of the guarded fragment (without equality). This fragment of first-order logic was introduced in [1] in order to explain the nice properties (in particular decidability) of propositional modal logics. In fact, many modal
logics can be translated into the guarded fragment. Guarded clauses, defined in [8], are a generalization of guarded formulas in clausal form and decidable by resolution. The method presented in this article
uses a model building procedure for guarded clauses which contain a positive maximal literal. A set of such clauses can be
derived from the guarded clause set under consideration.