Termination w.r.t. Q of the given QTRS could not be shown:

(0) Obligation:

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

f(X) → f(X)
c → a
c → b

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:

c → a
c → b

(2) Obligation:

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

f(X) → f(X)

Q is empty.