YES

TRS:

  active(2nd(cons(X,cons(Y,Z)))) -> mark(Y)
  active(from(X)) -> mark(cons(X,from(s(X))))
  active(2nd(X)) -> 2nd(active(X))
  active(cons(X1,X2)) -> cons(active(X1),X2)
  active(from(X)) -> from(active(X))
  active(s(X)) -> s(active(X))
  2nd(mark(X)) -> mark(2nd(X))
  cons(mark(X1),X2) -> mark(cons(X1,X2))
  from(mark(X)) -> mark(from(X))
  s(mark(X)) -> mark(s(X))
  proper(2nd(X)) -> 2nd(proper(X))
  proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
  proper(from(X)) -> from(proper(X))
  proper(s(X)) -> s(proper(X))
  2nd(ok(X)) -> ok(2nd(X))
  cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
  from(ok(X)) -> ok(from(X))
  s(ok(X)) -> ok(s(X))
  top(mark(X)) -> top(proper(X))
  top(ok(X)) -> top(active(X))

max/plus interpretations on N:

  active_A(x1) = max{0, 7 + x1}
  active#_A(x1) = max{35, 42 + x1}
  2nd_A(x1) = max{10, x1}
  2nd#_A(x1) = max{34, 29 + x1}
  cons_A(x1,x2) = max{12, x1, x2}
  cons#_A(x1,x2) = max{1, 32 + x1, 32 + x2}
  mark_A(x1) = max{18, x1}
  mark#_A(x1) = max{33, 1 + x1}
  from_A(x1) = max{11, x1}
  from#_A(x1) = max{43, 25 + x1}
  s_A(x1) = max{9, x1}
  s#_A(x1) = max{37, 11 + x1}
  proper_A(x1) = max{12, -37}
  proper#_A(x1) = max{0, 32 + x1}
  ok_A(x1) = max{24, 12 + x1}
  ok#_A(x1) = max{0, 36}
  top_A(x1) = max{0, 0}
  top#_A(x1) = max{54, 37 + x1}

precedence:

  s = top > active > 2nd > mark > cons = proper > from > ok