YES
Input TRS:
      1: active(f(X)) -> mark(g(h(f(X))))
      2: active(f(X)) -> f(active(X))
      3: active(h(X)) -> h(active(X))
      4: f(mark(X)) -> mark(f(X))
      5: h(mark(X)) -> mark(h(X))
      6: proper(f(X)) -> f(proper(X))
      7: proper(g(X)) -> g(proper(X))
      8: proper(h(X)) -> h(proper(X))
      9: f(ok(X)) -> ok(f(X))
      10: g(ok(X)) -> ok(g(X))
      11: h(ok(X)) -> ok(h(X))
      12: top(mark(X)) -> top(proper(X))
      13: top(ok(X)) -> top(active(X))
Number of strict rules: 13
Direct POLO(bPol) ... removes: 11 13
      h 	w: 2 * x1 + 1
      top	w: x1 + 12617
      f 	w: x1
      proper	w: x1
      ok	w: 2 * x1 + 23613
      mark	w: x1
      active	w: 2 * x1 + 1
      g 	w: x1
Number of strict rules: 11
Direct POLO(bPol) ... removes: 1
      h 	w: x1 + 1
      top	w: x1 + 12616
      f 	w: x1 + 4684
      proper	w: x1 + 13214
      ok	w: x1 + 13217
      mark	w: x1 + 13214
      active	w: x1 + 13217
      g 	w: x1 + 1
Number of strict rules: 10
Direct POLO(bPol) ... removes: 12
      h 	w: x1 + 1
      top	w: x1 + 12616
      f 	w: x1 + 28872
      proper	w: x1 + 16674
      ok	w: x1 + 34681
      mark	w: x1 + 34679
      active	w: x1 + 34681
      g 	w: x1 + 1
Number of strict rules: 9
Direct POLO(bPol) ... removes: 10
      h 	w: x1
      top	w: x1 + 12615
      f 	w: 2 * x1 + 2
      proper	w: x1
      ok	w: 2 * x1 + 2
      mark	w: x1
      active	w: 2 * x1 + 2
      g 	w: 2 * x1 + 1
Number of strict rules: 8
Direct POLO(bPol) ... removes: 9 2
      h 	w: x1
      top	w: x1 + 12615
      f 	w: 2 * x1 + 2
      proper	w: x1
      ok	w: 2 * x1 + 3
      mark	w: x1
      active	w: 2 * x1 + 1
      g 	w: 2 * x1 + 1
Number of strict rules: 6
Direct POLO(bPol) ... removes: 4
      h 	w: x1
      top	w: x1 + 39280
      f 	w: 2 * x1 + 1
      proper	w: x1
      ok	w: 2 * x1 + 1800
      mark	w: x1 + 1
      active	w: 2 * x1 + 1
      g 	w: x1
Number of strict rules: 5
Direct POLO(bPol) ... removes: 6
      h 	w: x1
      top	w: x1 + 39279
      f 	w: 2 * x1 + 2
      proper	w: 2 * x1 + 1
      ok	w: 2 * x1 + 2
      mark	w: 2 * x1 + 2
      active	w: 2 * x1 + 2
      g 	w: x1
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #proper(g(X)) -> #proper(X)
     #2: #h(mark(X)) -> #h(X)
     #3: #active(h(X)) -> #h(active(X))
     #4: #active(h(X)) -> #active(X)
     #5: #proper(h(X)) -> #h(proper(X))
     #6: #proper(h(X)) -> #proper(X)
Number of SCCs: 3, DPs: 4
  SCC { #4 }
POLO(Sum)... succeeded.
      h 	w: x1 + 1
      top	w: 0
      f 	w: 0
      proper	w: 0
      ok	w: 0
      #h 	w: 0
      mark	w: 0
      #proper	w: 0
      active	w: 0
      #active	w: x1
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 2, DPs: 3
  SCC { #2 }
POLO(Sum)... succeeded.
      h 	w: 1
      top	w: 0
      f 	w: 0
      proper	w: 0
      ok	w: 0
      #h 	w: x1
      mark	w: x1 + 1
      #proper	w: 0
      active	w: 0
      #active	w: 0
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
  SCC { #1 #6 }
POLO(Sum)... succeeded.
      h 	w: x1 + 1
      top	w: 0
      f 	w: 0
      proper	w: 0
      ok	w: 0
      #h 	w: 0
      mark	w: 1
      #proper	w: x1
      active	w: 0
      #active	w: 0
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #1 #6
Number of SCCs: 0, DPs: 0