YES

The TRS could be proven terminating. The proof took 19 ms.

The following DP Processors were used


Problem 1 was processed with processor SubtermCriterion (1ms).

Problem 1: SubtermCriterion



Dependency Pair Problem

Dependency Pairs

.#(.(x, y), z).#(y, z).#(.(x, y), z).#(x, .(y, z))

Rewrite Rules

.(.(x, y), z).(x, .(y, z))

Original Signature

Termination of terms over the following signature is verified: .

Strategy


Projection

The following projection was used:

Thus, the following dependency pairs are removed:

.#(.(x, y), z).#(y, z).#(.(x, y), z).#(x, .(y, z))