(0) Obligation:

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

f(x, y, f(z, u, v)) → f(f(x, y, z), u, f(x, y, v))

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:

F(x, y, f(z, u, v)) → F(f(x, y, z), u, f(x, y, v))
F(x, y, f(z, u, v)) → F(x, y, z)
F(x, y, f(z, u, v)) → F(x, y, v)

The TRS R consists of the following rules:

f(x, y, f(z, u, v)) → f(f(x, y, z), u, f(x, y, v))

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