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__g(X) → a__h(X)
a__cd
a__h(d) → a__g(c)
mark(g(X)) → a__g(X)
mark(h(X)) → a__h(X)
mark(c) → a__c
mark(d) → d
a__g(X) → g(X)
a__h(X) → h(X)
a__cc

Q is empty.


QTRS
  ↳ DirectTerminationProof

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

a__g(X) → a__h(X)
a__cd
a__h(d) → a__g(c)
mark(g(X)) → a__g(X)
mark(h(X)) → a__h(X)
mark(c) → a__c
mark(d) → d
a__g(X) → g(X)
a__h(X) → h(X)
a__cc

Q is empty.

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

Recursive Path Order [2].
Precedence:
mark1 > ac > d > ag1 > ah1 > h1
mark1 > ac > d > ag1 > g1
mark1 > ac > d > c