(0) Obligation:

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

f(X) → f(X)
ca
cb

Q is empty.

(1) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Recursive path order with status [RPO].
Quasi-Precedence:
c > a
c > b

Status:
f1: multiset
c: multiset
a: multiset
b: multiset

With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:

ca
cb


(2) Obligation:

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

f(X) → f(X)

Q is empty.