YES
Input TRS:
      1: active(2nd(cons(X,cons(Y,Z)))) -> mark(Y)
      2: active(from(X)) -> mark(cons(X,from(s(X))))
      3: active(2nd(X)) -> 2nd(active(X))
      4: active(cons(X1,X2)) -> cons(active(X1),X2)
      5: active(from(X)) -> from(active(X))
      6: active(s(X)) -> s(active(X))
      7: 2nd(mark(X)) -> mark(2nd(X))
      8: cons(mark(X1),X2) -> mark(cons(X1,X2))
      9: from(mark(X)) -> mark(from(X))
      10: s(mark(X)) -> mark(s(X))
      11: proper(2nd(X)) -> 2nd(proper(X))
      12: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
      13: proper(from(X)) -> from(proper(X))
      14: proper(s(X)) -> s(proper(X))
      15: 2nd(ok(X)) -> ok(2nd(X))
      16: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
      17: from(ok(X)) -> ok(from(X))
      18: s(ok(X)) -> ok(s(X))
      19: top(mark(X)) -> top(proper(X))
      20: top(ok(X)) -> top(active(X))
Number of strict rules: 20
Direct POLO(bPol) ... removes: 4 15 1 3 16 19 17 5 7 20 9 2
      s 	w: x1
      top	w: x1
      2nd	w: 2 * x1 + 5529
      proper	w: x1
      ok	w: 2 * x1 + 19793
      from	w: 2 * x1 + 7580
      mark	w: x1 + 1
      active	w: 2 * x1 + 1
      cons	w: x1 + x2 + 1
Number of strict rules: 8
Direct POLO(bPol) ... removes: 8
      s 	w: x1
      top	w: x1 + 24167
      2nd	w: 2 * x1 + 1
      proper	w: x1
      ok	w: 2 * x1 + 2
      from	w: 2 * x1 + 2
      mark	w: x1 + 1
      active	w: 2 * x1
      cons	w: 2 * x1 + x2 + 1
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #active(s(X)) -> #s(active(X))
     #2: #active(s(X)) -> #active(X)
     #3: #proper(from(X)) -> #proper(X)
     #4: #proper(2nd(X)) -> #proper(X)
     #5: #proper(cons(X1,X2)) -> #proper(X1)
     #6: #proper(cons(X1,X2)) -> #proper(X2)
     #7: #proper(s(X)) -> #s(proper(X))
     #8: #proper(s(X)) -> #proper(X)
     #9: #s(mark(X)) -> #s(X)
     #10: #s(ok(X)) -> #s(X)
Number of SCCs: 3, DPs: 8
  SCC { #2 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      top	w: 0
      2nd	w: 0
      proper	w: 0
      ok	w: 0
      from	w: 0
      #s 	w: 0
      mark	w: 0
      #proper	w: 0
      active	w: 0
      cons	w: 0
      #active	w: x1
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 2, DPs: 7
  SCC { #9 #10 }
POLO(Sum)... succeeded.
      s 	w: 1
      top	w: 0
      2nd	w: 0
      proper	w: 0
      ok	w: x1 + 1
      from	w: 0
      #s 	w: x1
      mark	w: x1 + 1
      #proper	w: 0
      active	w: 0
      cons	w: 0
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #9 #10
Number of SCCs: 1, DPs: 5
  SCC { #3..6 #8 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      top	w: 0
      2nd	w: x1 + 1
      proper	w: 0
      ok	w: 1
      from	w: x1 + 1
      #s 	w: 0
      mark	w: 1
      #proper	w: x1
      active	w: 0
      cons	w: x1 + x2 + 1
      #active	w: 0
    USABLE RULES: { }
    Removed DPs: #3..6 #8
Number of SCCs: 0, DPs: 0