YES
O(n^2)
TRS:
 {
     a__h(X) -> h(X),
   a__h(d()) -> a__g(c()),
     a__g(X) -> a__h(X),
     a__g(X) -> g(X),
      a__c() -> d(),
      a__c() -> c(),
   mark(d()) -> d(),
   mark(c()) -> a__c(),
  mark(g(X)) -> a__g(X),
  mark(h(X)) -> a__h(X)
 }
 Natural interpretation:
  Strict:
   {
       a__h(X) -> h(X),
     a__h(d()) -> a__g(c()),
       a__g(X) -> a__h(X),
       a__g(X) -> g(X),
        a__c() -> d(),
        a__c() -> c(),
     mark(d()) -> d(),
     mark(c()) -> a__c(),
    mark(g(X)) -> a__g(X),
    mark(h(X)) -> a__h(X)
   }
  Weak:
   {}
  Interpretation class: deltarestricted
  [h](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta
  [g](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 2*delta
  [mark](delta, X0) = + 1*X0 + 3 + 2*X0*delta + 3*delta
  [c](delta) = + 0 + 0*delta
  [a__c](delta) = + 2 + 2*delta
  [d](delta) = + 2 + 0*delta
  [a__g](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 3*delta
  [a__h](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 2*delta
  h_tau_1(delta) = delta/(0 + 1 * delta)
  g_tau_1(delta) = delta/(0 + 1 * delta)
  mark_tau_1(delta) = delta/(1 + 2 * delta)
  
  
  
  a__g_tau_1(delta) = delta/(0 + 1 * delta)
  a__h_tau_1(delta) = delta/(0 + 1 * delta)
  
  Qed