Termination w.r.t. Q of the following Term Rewriting System could be proven:

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

ag(c)
g(a) → b
f(g(X), b) → f(a, X)

Q is empty.


QTRS
  ↳ DirectTerminationProof

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

ag(c)
g(a) → b
f(g(X), b) → f(a, X)

Q is empty.

We use [23] with the following order to prove termination.

Recursive path order with status [2].
Quasi-Precedence:
[a, b] > g1
[a, b] > c

Status:
f2: multiset