Sophisticated reductions are an important means to achieve progress
in automated theorem proving. We consider the powerful reduction rule Contextual
Rewriting in the context of the superposition calculus. If the rule is
considered in its abstract, most general form, the applicability of contextual rewriting is not
decidable.
We develop a decidable instance of the general contextual rewriting
rule and implement it in SPASS. An experimental evaluation on the TPTP gives
first insights into the application potential of the rule instance.