MAYBE
MAYBE
TRS:
 {
  f(true(), x, y) ->
  f(and(gt(x, y), gt(y, s(s(0())))), plus(s(0()), x), double(y)),
   and(x, true()) -> x,
  and(x, false()) -> false(),
   gt(s(u), s(v)) -> gt(u, v),
    gt(s(u), 0()) -> true(),
       gt(0(), v) -> false(),
    plus(n, s(m)) -> s(plus(n, m)),
     plus(n, 0()) -> n,
     double(s(x)) -> s(s(double(x))),
      double(0()) -> 0()
 }
 DUP: We consider a duplicating system.
  Trs:
   {
    f(true(), x, y) ->
    f(and(gt(x, y), gt(y, s(s(0())))), plus(s(0()), x), double(y)),
     and(x, true()) -> x,
    and(x, false()) -> false(),
     gt(s(u), s(v)) -> gt(u, v),
      gt(s(u), 0()) -> true(),
         gt(0(), v) -> false(),
      plus(n, s(m)) -> s(plus(n, m)),
       plus(n, 0()) -> n,
       double(s(x)) -> s(s(double(x))),
        double(0()) -> 0()
   }
  Fail