YES
Input TRS:
      1: active(f(f(a()))) -> mark(f(g(f(a()))))
      2: active(g(X)) -> g(active(X))
      3: g(mark(X)) -> mark(g(X))
      4: proper(f(X)) -> f(proper(X))
      5: proper(a()) -> ok(a())
      6: proper(g(X)) -> g(proper(X))
      7: f(ok(X)) -> ok(f(X))
      8: g(ok(X)) -> ok(g(X))
      9: top(mark(X)) -> top(proper(X))
      10: top(ok(X)) -> top(active(X))
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #active(g(X)) -> #g(active(X))
     #2: #active(g(X)) -> #active(X)
     #3: #proper(g(X)) -> #g(proper(X))
     #4: #proper(g(X)) -> #proper(X)
     #5: #top(mark(X)) -> #top(proper(X))
     #6: #top(mark(X)) -> #proper(X)
     #7: #f(ok(X)) -> #f(X)
     #8: #top(ok(X)) -> #top(active(X))
     #9: #top(ok(X)) -> #active(X)
     #10: #g(mark(X)) -> #g(X)
     #11: #active(f(f(a()))) -> #f(g(f(a())))
     #12: #active(f(f(a()))) -> #g(f(a()))
     #13: #g(ok(X)) -> #g(X)
     #14: #proper(f(X)) -> #f(proper(X))
     #15: #proper(f(X)) -> #proper(X)
Number of SCCs: 5, DPs: 8
  SCC { #7 }
POLO(Sum)... succeeded.
      a 	w: 0
      top	w: 0
      #top	w: 0
      f 	w: 0
      proper	w: 0
      ok	w: x1 + 1
      mark	w: 0
      #f 	w: x1
      #g 	w: 0
      #proper	w: 0
      active	w: 0
      #active	w: 0
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 4, DPs: 7
  SCC { #2 }
POLO(Sum)... succeeded.
      a 	w: 0
      top	w: 0
      #top	w: 0
      f 	w: 0
      proper	w: 0
      ok	w: 1
      mark	w: 0
      #f 	w: 0
      #g 	w: 0
      #proper	w: 0
      active	w: 0
      #active	w: x1
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 3, DPs: 6
  SCC { #4 #15 }
POLO(Sum)... succeeded.
      a 	w: 0
      top	w: 0
      #top	w: 0
      f 	w: x1 + 1
      proper	w: 0
      ok	w: 1
      mark	w: 0
      #f 	w: 0
      #g 	w: 0
      #proper	w: x1
      active	w: 0
      #active	w: 0
      g 	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #4 #15
Number of SCCs: 2, DPs: 4
  SCC { #10 #13 }
POLO(Sum)... succeeded.
      a 	w: 0
      top	w: 0
      #top	w: 0
      f 	w: 1
      proper	w: 0
      ok	w: x1 + 1
      mark	w: x1 + 1
      #f 	w: 0
      #g 	w: x1
      #proper	w: 0
      active	w: 0
      #active	w: 0
      g 	w: 1
    USABLE RULES: { }
    Removed DPs: #10 #13
Number of SCCs: 1, DPs: 2
  SCC { #5 #8 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [13208;0]
      top	w: [0;0]
      #top	w: [1,0;0,0] * x1
      f 	w: [0,1;1,0] * x1
      proper	w: x1 + [1;1]
      ok	w: x1 + [1;1]
      mark	w: [1,0;0,0] * x1 + [2;0]
      #f 	w: [0;0]
      #g 	w: [0;0]
      #proper	w: [0;0]
      active	w: [1,0;1,1] * x1
      #active	w: [0;0]
      g 	w: [1,0;1,0] * x1 + [0;13206]
    USABLE RULES: { 1..8 }
    Removed DPs: #5 #8
Number of SCCs: 0, DPs: 0