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 Order(PosReal,>,Poly) ... removes: 1 12 13
     h(x1)	weight: (/ 1 16) + x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 1 16) + x1
proper(x1)	weight: (/ 1 16) + x1
    ok(x1)	weight: (/ 5 16) + x1
  mark(x1)	weight: (/ 3 32) + x1
active(x1)	weight: (/ 9 32) + x1
     g(x1)	weight: (/ 1 16) + x1
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... removes: 5 11
     h(x1)	weight: (/ 1 8) + 2 * x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 1 8) + x1
proper(x1)	weight: x1
    ok(x1)	weight: (/ 1 8) + x1
  mark(x1)	weight: (/ 1 8) + x1
active(x1)	weight: x1
     g(x1)	weight: (/ 271625 8) + x1
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 4 9
     h(x1)	weight: (/ 1 8) + 2 * x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 1 8) + 2 * x1
proper(x1)	weight: x1
    ok(x1)	weight: (/ 9137 8) + x1
  mark(x1)	weight: (/ 1 8) + x1
active(x1)	weight: x1
     g(x1)	weight: (/ 271625 8) + x1
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 10
     h(x1)	weight: (/ 1 8) + 2 * x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 1 8) + 2 * x1
proper(x1)	weight: x1
    ok(x1)	weight: (/ 9137 8) + x1
  mark(x1)	weight: (/ 1 8) + x1
active(x1)	weight: x1
     g(x1)	weight: (/ 271625 8) + 2 * x1
Number of strict rules: 5
Direct Order(PosReal,>,Poly) ... removes: 3
     h(x1)	weight: (/ 1 8) + 2 * x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 1 16) + 2 * x1
proper(x1)	weight: x1
    ok(x1)	weight: (/ 18273 16) + x1
  mark(x1)	weight: (/ 1 16) + x1
active(x1)	weight: (/ 1 16) + 2 * x1
     g(x1)	weight: (/ 543249 16) + x1
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 2
     h(x1)	weight: (/ 1 8) + 2 * x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 1 8) + 2 * x1
proper(x1)	weight: x1
    ok(x1)	weight: (/ 18273 16) + x1
  mark(x1)	weight: (/ 1 16) + x1
active(x1)	weight: (/ 1 16) + 2 * x1
     g(x1)	weight: (/ 543249 16) + x1
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 8 7 6
     h(x1)	weight: (/ 1 4) + 2 * x1
   top(x1)	weight: 2 * x1
     f(x1)	weight: (/ 58721 4) + 2 * x1
proper(x1)	weight: (/ 1 8) + 2 * x1
    ok(x1)	weight: (/ 1 8) + x1
  mark(x1)	weight: (/ 1 4) + x1
active(x1)	weight: 2 * x1
     g(x1)	weight: (/ 271625 8) + x1
Number of strict rules: 0
YES