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:

a(b(x)) → b(a(x))
a(c(x)) → x

Q is empty.


QTRS
  ↳ DirectTerminationProof

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

a(b(x)) → b(a(x))
a(c(x)) → x

Q is empty.

We use [27] with the following order to prove termination.

Knuth-Bendix order [24] with precedence:
a1 > b1

and weight map:

c_1=1
b_1=1
a_1=1
dummyConstant=1