(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:
Lexicographic Path Order [LPO].
Precedence:
c > a > f1
c > b > f1
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.