(0) Obligation:

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

g(b) → f(b)
f(a) → g(a)
ba

Q is empty.

(1) QTRSRRRProof (EQUIVALENT transformation)

Used ordering:
Recursive path order with status [RPO].
Quasi-Precedence:
[g1, f1] > b > a

Status:
a: multiset
f1: [1]
g1: [1]
b: multiset

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

ba


(2) Obligation:

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

g(b) → f(b)
f(a) → g(a)

Q is empty.