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(x)) → g(g(f(x)))
f(g(x)) → g(g(g(x)))
Q is empty.
↳ QTRS
↳ DirectTerminationProof
Q restricted rewrite system:
The TRS R consists of the following rules:
f(g(x)) → g(g(f(x)))
f(g(x)) → g(g(g(x)))
Q is empty.
We use [23] with the following order to prove termination.
Recursive path order with status [2].
Precedence:
f1 > g1
Status:
f1: [1]
g1: multiset