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:

f(g(h(x, y)), f(a, a)) → f(h(x, x), g(f(y, a)))

Q is empty.


QTRS
  ↳ DirectTerminationProof

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

f(g(h(x, y)), f(a, a)) → f(h(x, x), g(f(y, a)))

Q is empty.

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

Recursive path order with status [2].
Quasi-Precedence:
f2 > [g1, h2] > a

Status:
a: multiset
f2: [1,2]
g1: multiset
h2: multiset