YES

Problem:
 active(f(X)) -> mark(g(h(f(X))))
 active(f(X)) -> f(active(X))
 active(h(X)) -> h(active(X))
 f(mark(X)) -> mark(f(X))
 h(mark(X)) -> mark(h(X))
 proper(f(X)) -> f(proper(X))
 proper(g(X)) -> g(proper(X))
 proper(h(X)) -> h(proper(X))
 f(ok(X)) -> ok(f(X))
 g(ok(X)) -> ok(g(X))
 h(ok(X)) -> ok(h(X))
 top(mark(X)) -> top(proper(X))
 top(ok(X)) -> top(active(X))

Proof:
 DP Processor:
  DPs:
   active#(f(X)) -> h#(f(X))
   active#(f(X)) -> g#(h(f(X)))
   active#(f(X)) -> active#(X)
   active#(f(X)) -> f#(active(X))
   active#(h(X)) -> active#(X)
   active#(h(X)) -> h#(active(X))
   f#(mark(X)) -> f#(X)
   h#(mark(X)) -> h#(X)
   proper#(f(X)) -> proper#(X)
   proper#(f(X)) -> f#(proper(X))
   proper#(g(X)) -> proper#(X)
   proper#(g(X)) -> g#(proper(X))
   proper#(h(X)) -> proper#(X)
   proper#(h(X)) -> h#(proper(X))
   f#(ok(X)) -> f#(X)
   g#(ok(X)) -> g#(X)
   h#(ok(X)) -> h#(X)
   top#(mark(X)) -> proper#(X)
   top#(mark(X)) -> top#(proper(X))
   top#(ok(X)) -> active#(X)
   top#(ok(X)) -> top#(active(X))
  TRS:
   active(f(X)) -> mark(g(h(f(X))))
   active(f(X)) -> f(active(X))
   active(h(X)) -> h(active(X))
   f(mark(X)) -> mark(f(X))
   h(mark(X)) -> mark(h(X))
   proper(f(X)) -> f(proper(X))
   proper(g(X)) -> g(proper(X))
   proper(h(X)) -> h(proper(X))
   f(ok(X)) -> ok(f(X))
   g(ok(X)) -> ok(g(X))
   h(ok(X)) -> ok(h(X))
   top(mark(X)) -> top(proper(X))
   top(ok(X)) -> top(active(X))
  TDG Processor:
   DPs:
    active#(f(X)) -> h#(f(X))
    active#(f(X)) -> g#(h(f(X)))
    active#(f(X)) -> active#(X)
    active#(f(X)) -> f#(active(X))
    active#(h(X)) -> active#(X)
    active#(h(X)) -> h#(active(X))
    f#(mark(X)) -> f#(X)
    h#(mark(X)) -> h#(X)
    proper#(f(X)) -> proper#(X)
    proper#(f(X)) -> f#(proper(X))
    proper#(g(X)) -> proper#(X)
    proper#(g(X)) -> g#(proper(X))
    proper#(h(X)) -> proper#(X)
    proper#(h(X)) -> h#(proper(X))
    f#(ok(X)) -> f#(X)
    g#(ok(X)) -> g#(X)
    h#(ok(X)) -> h#(X)
    top#(mark(X)) -> proper#(X)
    top#(mark(X)) -> top#(proper(X))
    top#(ok(X)) -> active#(X)
    top#(ok(X)) -> top#(active(X))
   TRS:
    active(f(X)) -> mark(g(h(f(X))))
    active(f(X)) -> f(active(X))
    active(h(X)) -> h(active(X))
    f(mark(X)) -> mark(f(X))
    h(mark(X)) -> mark(h(X))
    proper(f(X)) -> f(proper(X))
    proper(g(X)) -> g(proper(X))
    proper(h(X)) -> h(proper(X))
    f(ok(X)) -> ok(f(X))
    g(ok(X)) -> ok(g(X))
    h(ok(X)) -> ok(h(X))
    top(mark(X)) -> top(proper(X))
    top(ok(X)) -> top(active(X))
   graph:
    top#(ok(X)) -> top#(active(X)) -> top#(ok(X)) -> top#(active(X))
    top#(ok(X)) -> top#(active(X)) -> top#(ok(X)) -> active#(X)
    top#(ok(X)) -> top#(active(X)) ->
    top#(mark(X)) -> top#(proper(X))
    top#(ok(X)) -> top#(active(X)) -> top#(mark(X)) -> proper#(X)
    top#(ok(X)) -> active#(X) -> active#(h(X)) -> h#(active(X))
    top#(ok(X)) -> active#(X) -> active#(h(X)) -> active#(X)
    top#(ok(X)) -> active#(X) -> active#(f(X)) -> f#(active(X))
    top#(ok(X)) -> active#(X) -> active#(f(X)) -> active#(X)
    top#(ok(X)) -> active#(X) -> active#(f(X)) -> g#(h(f(X)))
    top#(ok(X)) -> active#(X) -> active#(f(X)) -> h#(f(X))
    top#(mark(X)) -> top#(proper(X)) ->
    top#(ok(X)) -> top#(active(X))
    top#(mark(X)) -> top#(proper(X)) -> top#(ok(X)) -> active#(X)
    top#(mark(X)) -> top#(proper(X)) ->
    top#(mark(X)) -> top#(proper(X))
    top#(mark(X)) -> top#(proper(X)) -> top#(mark(X)) -> proper#(X)
    top#(mark(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    top#(mark(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    top#(mark(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    top#(mark(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    top#(mark(X)) -> proper#(X) -> proper#(f(X)) -> f#(proper(X))
    top#(mark(X)) -> proper#(X) -> proper#(f(X)) -> proper#(X)
    proper#(g(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    proper#(g(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    proper#(g(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    proper#(g(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    proper#(g(X)) -> proper#(X) -> proper#(f(X)) -> f#(proper(X))
    proper#(g(X)) -> proper#(X) -> proper#(f(X)) -> proper#(X)
    proper#(g(X)) -> g#(proper(X)) -> g#(ok(X)) -> g#(X)
    proper#(h(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    proper#(h(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    proper#(h(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    proper#(h(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    proper#(h(X)) -> proper#(X) -> proper#(f(X)) -> f#(proper(X))
    proper#(h(X)) -> proper#(X) -> proper#(f(X)) -> proper#(X)
    proper#(h(X)) -> h#(proper(X)) -> h#(ok(X)) -> h#(X)
    proper#(h(X)) -> h#(proper(X)) -> h#(mark(X)) -> h#(X)
    proper#(f(X)) -> proper#(X) -> proper#(h(X)) -> h#(proper(X))
    proper#(f(X)) -> proper#(X) -> proper#(h(X)) -> proper#(X)
    proper#(f(X)) -> proper#(X) -> proper#(g(X)) -> g#(proper(X))
    proper#(f(X)) -> proper#(X) -> proper#(g(X)) -> proper#(X)
    proper#(f(X)) -> proper#(X) -> proper#(f(X)) -> f#(proper(X))
    proper#(f(X)) -> proper#(X) -> proper#(f(X)) -> proper#(X)
    proper#(f(X)) -> f#(proper(X)) -> f#(ok(X)) -> f#(X)
    proper#(f(X)) -> f#(proper(X)) -> f#(mark(X)) -> f#(X)
    f#(ok(X)) -> f#(X) -> f#(ok(X)) -> f#(X)
    f#(ok(X)) -> f#(X) -> f#(mark(X)) -> f#(X)
    f#(mark(X)) -> f#(X) -> f#(ok(X)) -> f#(X)
    f#(mark(X)) -> f#(X) -> f#(mark(X)) -> f#(X)
    g#(ok(X)) -> g#(X) -> g#(ok(X)) -> g#(X)
    h#(ok(X)) -> h#(X) -> h#(ok(X)) -> h#(X)
    h#(ok(X)) -> h#(X) -> h#(mark(X)) -> h#(X)
    h#(mark(X)) -> h#(X) -> h#(ok(X)) -> h#(X)
    h#(mark(X)) -> h#(X) -> h#(mark(X)) -> h#(X)
    active#(h(X)) -> h#(active(X)) -> h#(ok(X)) -> h#(X)
    active#(h(X)) -> h#(active(X)) -> h#(mark(X)) -> h#(X)
    active#(h(X)) -> active#(X) -> active#(h(X)) -> h#(active(X))
    active#(h(X)) -> active#(X) -> active#(h(X)) -> active#(X)
    active#(h(X)) -> active#(X) -> active#(f(X)) -> f#(active(X))
    active#(h(X)) -> active#(X) -> active#(f(X)) -> active#(X)
    active#(h(X)) -> active#(X) -> active#(f(X)) -> g#(h(f(X)))
    active#(h(X)) -> active#(X) -> active#(f(X)) -> h#(f(X))
    active#(f(X)) -> f#(active(X)) -> f#(ok(X)) -> f#(X)
    active#(f(X)) -> f#(active(X)) -> f#(mark(X)) -> f#(X)
    active#(f(X)) -> g#(h(f(X))) -> g#(ok(X)) -> g#(X)
    active#(f(X)) -> h#(f(X)) -> h#(ok(X)) -> h#(X)
    active#(f(X)) -> h#(f(X)) -> h#(mark(X)) -> h#(X)
    active#(f(X)) -> active#(X) -> active#(h(X)) -> h#(active(X))
    active#(f(X)) -> active#(X) -> active#(h(X)) -> active#(X)
    active#(f(X)) -> active#(X) -> active#(f(X)) -> f#(active(X))
    active#(f(X)) -> active#(X) -> active#(f(X)) -> active#(X)
    active#(f(X)) -> active#(X) -> active#(f(X)) -> g#(h(f(X)))
    active#(f(X)) -> active#(X) -> active#(f(X)) -> h#(f(X))
   CDG Processor:
    DPs:
     active#(f(X)) -> h#(f(X))
     active#(f(X)) -> g#(h(f(X)))
     active#(f(X)) -> active#(X)
     active#(f(X)) -> f#(active(X))
     active#(h(X)) -> active#(X)
     active#(h(X)) -> h#(active(X))
     f#(mark(X)) -> f#(X)
     h#(mark(X)) -> h#(X)
     proper#(f(X)) -> proper#(X)
     proper#(f(X)) -> f#(proper(X))
     proper#(g(X)) -> proper#(X)
     proper#(g(X)) -> g#(proper(X))
     proper#(h(X)) -> proper#(X)
     proper#(h(X)) -> h#(proper(X))
     f#(ok(X)) -> f#(X)
     g#(ok(X)) -> g#(X)
     h#(ok(X)) -> h#(X)
     top#(mark(X)) -> proper#(X)
     top#(mark(X)) -> top#(proper(X))
     top#(ok(X)) -> active#(X)
     top#(ok(X)) -> top#(active(X))
    TRS:
     active(f(X)) -> mark(g(h(f(X))))
     active(f(X)) -> f(active(X))
     active(h(X)) -> h(active(X))
     f(mark(X)) -> mark(f(X))
     h(mark(X)) -> mark(h(X))
     proper(f(X)) -> f(proper(X))
     proper(g(X)) -> g(proper(X))
     proper(h(X)) -> h(proper(X))
     f(ok(X)) -> ok(f(X))
     g(ok(X)) -> ok(g(X))
     h(ok(X)) -> ok(h(X))
     top(mark(X)) -> top(proper(X))
     top(ok(X)) -> top(active(X))
    graph:
     top#(ok(X)) -> top#(active(X)) -> top#(mark(X)) -> proper#(X)
     top#(ok(X)) -> top#(active(X)) ->
     top#(mark(X)) -> top#(proper(X))
     active#(h(X)) -> h#(active(X)) -> h#(mark(X)) -> h#(X)
     active#(h(X)) -> h#(active(X)) -> h#(ok(X)) -> h#(X)
     active#(f(X)) -> f#(active(X)) -> f#(mark(X)) -> f#(X)
     active#(f(X)) -> f#(active(X)) -> f#(ok(X)) -> f#(X)
     active#(f(X)) -> g#(h(f(X))) -> g#(ok(X)) -> g#(X)
     active#(f(X)) -> h#(f(X)) -> h#(mark(X)) -> h#(X)
     active#(f(X)) -> h#(f(X)) -> h#(ok(X)) -> h#(X)
    SCC Processor:
     #sccs: 0
     #rules: 0
     #arcs: 9/441