(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 with status [LPO].
Precedence:
c > a > f1
c > b > f1

Status:
c: []
a: []
f1: [1]
b: []
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.