MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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

Proof

1 Termination Assumption

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