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We report on an inversion tool for a class of oriented conditionalconstructor term rewriting systems. Four well-behaved rule inverters rangingfrom trivial to full, partial and semi-inverters are included. Conditional termrewriting systems are theoretically well founded and can model functional andnon-functional rewrite relations. We illustrate the inversion by experimentswith full and partial inversions of the Ackermann function. The case studydemonstrates, among others, that polyvariant inversion and input-output setpropagation can reduce the search space of the generated inverse systems.

An Inversion Tool for Conditional Term Rewriting Systems -- A Case Study of Ackermann Inversion