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The present article is devoted to the termination of logic programs, which do not use functional symbols (FSF programs). A program P is terminating with respect to a goal G, if the SLD-tree of P and G is finite. In general, FSF programs are not terminating. A transformation is introduced, by which any FSF program is transformed into another, not FSF program, which is shown to be terminating with respect to the permitted goals of the original program. The program obtained via transformation and the original program are Δ-equivalent.