(0) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

a(b(a(x))) → b(a(x))

Q is empty.

(1) DependencyPairsProof (EQUIVALENT transformation)

Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem.

(2) Obligation:

Q DP problem:
P is empty.
The TRS R consists of the following rules:

a(b(a(x))) → b(a(x))

Q is empty.
We have to consider all minimal (P,Q,R)-chains.

(3) PisEmptyProof (EQUIVALENT transformation)

The TRS P is empty. Hence, there is no (P,Q,R) chain.

(4) TRUE