Input TRS:
    1: a__c() -> a__f(g(c()))
    2: a__f(g(X)) -> g(X)
    3: mark(c()) -> a__c()
    4: mark(f(X)) -> a__f(X)
    5: mark(g(X)) -> g(X)
    6: a__c() -> c()
    7: a__f(X) -> f(X)
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... removes: 4 3 5
  a__f(x1)	weight: x1
     c()	weight: 0
     f(x1)	weight: x1
  mark(x1)	weight: (/ 1 2) + x1
     g(x1)	weight: x1
  a__c()	weight: 0
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__c() -> #a__f(g(c()))
Number of SCCs: 0, DPs: 0, edges: 0
YES