YES
Input TRS:
      1: a__g(X) -> a__h(X)
      2: a__c() -> d()
      3: a__h(d()) -> a__g(c())
      4: mark(g(X)) -> a__g(X)
      5: mark(h(X)) -> a__h(X)
      6: mark(c()) -> a__c()
      7: mark(d()) -> d()
      8: a__g(X) -> g(X)
      9: a__h(X) -> h(X)
      10: a__c() -> c()
Number of strict rules: 10
Direct POLO(bPol) ... removes: 4 8 1 3 5 10 7 9 6 2
      h 	w: 2 * x1 + 5
      a__g	w: 2 * x1 + 7
      d 	w: 2
      a__h	w: 2 * x1 + 6
      c 	w: 1
      mark	w: 2 * x1 + 21244
      g 	w: 2 * x1 + 1
      a__c	w: 3
Number of strict rules: 0