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