(0) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
a(b(a(b(x)))) → b(a(b(a(a(b(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:
The TRS P consists of the following rules:
A(b(a(b(x)))) → A(b(a(a(b(x)))))
A(b(a(b(x)))) → A(a(b(x)))
The TRS R consists of the following rules:
a(b(a(b(x)))) → b(a(b(a(a(b(x))))))
Q is empty.
We have to consider all minimal (P,Q,R)-chains.