TRS:
 {    a__c() -> a__f(g(c())),
  a__f(g(X)) -> g(X),
   mark(c()) -> a__c(),
  mark(f(X)) -> a__f(X),
  mark(g(X)) -> g(X),
      a__c() -> c(),
     a__f(X) -> f(X)}
 MPO:
  Prec:
   mark > a__f, 
   mark > a__c, 
   a__f > f, 
   a__c > c, 
   a__c > g, 
   a__c > a__f
   empty
  Strict:
   {}
   Weak:
    {}
  Qed