MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

a(x0) → b(b(c(x0)))
c(a(x0)) → x0
c(b(b(b(x0)))) → a(a(x0))

Proof

1 Termination Assumption

We assume termination of the following TRS
a(x0) → b(b(c(x0)))
c(a(x0)) → x0
c(b(b(b(x0)))) → a(a(x0))