YES
Input TRS:
      1: a__f(a(),X,X) -> a__f(X,a__b(),b())
      2: a__b() -> a()
      3: mark(f(X1,X2,X3)) -> a__f(X1,mark(X2),X3)
      4: mark(b()) -> a__b()
      5: mark(a()) -> a()
      6: a__f(X1,X2,X3) -> f(X1,X2,X3)
      7: a__b() -> b()
Number of strict rules: 7
Direct POLO(bPol) ... removes: 4 1 5 7 2
      a 	w: 3
      b 	w: 1
      a__b	w: 4
      a__f	w: 2 * x1 + x2 + x3 + 1
      f 	w: 2 * x1 + x2 + x3 + 1
      mark	w: x1 + 11801
Number of strict rules: 2
Direct POLO(bPol) ... removes: 3 6
      a 	w: 1
      b 	w: 1
      a__b	w: 1
      a__f	w: 2 * x1 + x2 + x3 + 3
      f 	w: 2 * x1 + x2 + x3 + 2
      mark	w: 2 * x1 + 10451
Number of strict rules: 0