(0) Obligation:

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

*(x, *(y, z)) → *(*(x, y), z)
*(x, x) → 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:

*1(x, *(y, z)) → *1(*(x, y), z)
*1(x, *(y, z)) → *1(x, y)

The TRS R consists of the following rules:

*(x, *(y, z)) → *(*(x, y), z)
*(x, x) → x

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