TRS:
 {        min(0(), y) -> 0(),
          min(x, 0()) -> 0(),
      min(s(x), s(y)) -> s(min(x, y)),
          max(0(), y) -> y,
          max(x, 0()) -> x,
      max(s(x), s(y)) -> s(max(x, y)),
              p(s(x)) -> x,
  f(s(x), s(y), s(z)) -> f(max(s(x), max(s(y), s(z))), p(min(s(x), max(s(y), s(z)))), min(s(x), min(s(y), s(z)))),
         f(0(), y, z) -> max(y, z),
         f(x, 0(), z) -> max(x, z),
         f(x, y, 0()) -> max(x, y)}
 Fail