YES

The TRS could be proven terminating. The proof took 16 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (3ms).

Problem 1: DependencyGraph



Dependency Pair Problem

Dependency Pairs

f#(f(a)) → f#(a)activate#(n__f(X)) → f#(X)

Rewrite Rules

f(f(a)) → c(n__f(g(f(a))))f(X) → n__f(X)
activate(n__f(X)) → f(X)activate(X) → X

Original Signature

Termination of terms over the following signature is verified: f, activate, g, c, a, n__f

Strategy


There are no SCCs!