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The satisfiability modulo theories (SMT) problem refers to the problem of determining whether a formula in predicate logic is satisfiable with respect to some theory. A theory fixes the interpretation/meaning of certain predicate and function symbols. Checking whether a formula in predicate logic is satisfiable with respect to a theory means that we are not interested in arbitrary models but in models that interpret the functions and predicates contained in the theory as defined by the axioms in the theory.
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