(0) Obligation:
Q restricted rewrite system:
The TRS R consists of the following rules:
f(0, 1, x) → f(x, x, x)
f(x, y, z) → 2
0 → 2
1 → 2
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(0, 1, x) → F(x, x, x)
The TRS R consists of the following rules:
f(0, 1, x) → f(x, x, x)
f(x, y, z) → 2
0 → 2
1 → 2
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
(3) DependencyGraphProof (EQUIVALENT transformation)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.
(4) TRUE