MAYBE
Time: 0.022563
TRS:
 {  min(x, 0()) -> 0(),
    min(0(), y) -> 0(),
  min(s x, s y) -> s min(x, y),
    max(x, 0()) -> x,
    max(0(), y) -> y,
  max(s x, s y) -> s max(x, y),
      +(0(), y) -> y,
      +(s x, y) -> s +(x, y),
      -(x, 0()) -> x,
    -(s x, s y) -> -(x, y),
      *(x, 0()) -> 0(),
      *(x, s y) -> +(x, *(x, y)),
          f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
 DP:
  DP:
   {min#(s x, s y) -> min#(x, y),
    max#(s x, s y) -> max#(x, y),
        +#(s x, y) -> +#(x, y),
      -#(s x, s y) -> -#(x, y),
        *#(x, s y) -> +#(x, *(x, y)),
        *#(x, s y) -> *#(x, y),
            f# s x -> max#(s *(s x, s x), +(s x, s s s s 0())),
            f# s x -> max#(*(s x, s x), +(s x, s s s 0())),
            f# s x -> +#(s x, s s s 0()),
            f# s x -> +#(s x, s s s s 0()),
            f# s x -> -#(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))),
            f# s x -> *#(s x, s x),
            f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
  TRS:
  {  min(x, 0()) -> 0(),
     min(0(), y) -> 0(),
   min(s x, s y) -> s min(x, y),
     max(x, 0()) -> x,
     max(0(), y) -> y,
   max(s x, s y) -> s max(x, y),
       +(0(), y) -> y,
       +(s x, y) -> s +(x, y),
       -(x, 0()) -> x,
     -(s x, s y) -> -(x, y),
       *(x, 0()) -> 0(),
       *(x, s y) -> +(x, *(x, y)),
           f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
  EDG:
   {(f# s x -> +#(s x, s s s s 0()), +#(s x, y) -> +#(x, y))
    (f# s x -> max#(*(s x, s x), +(s x, s s s 0())), max#(s x, s y) -> max#(x, y))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> *#(s x, s x))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> -#(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> +#(s x, s s s s 0()))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> +#(s x, s s s 0()))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> max#(*(s x, s x), +(s x, s s s 0())))
    (f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), f# s x -> max#(s *(s x, s x), +(s x, s s s s 0())))
    (min#(s x, s y) -> min#(x, y), min#(s x, s y) -> min#(x, y))
    (+#(s x, y) -> +#(x, y), +#(s x, y) -> +#(x, y))
    (*#(x, s y) -> +#(x, *(x, y)), +#(s x, y) -> +#(x, y))
    (*#(x, s y) -> *#(x, y), *#(x, s y) -> +#(x, *(x, y)))
    (*#(x, s y) -> *#(x, y), *#(x, s y) -> *#(x, y))
    (-#(s x, s y) -> -#(x, y), -#(s x, s y) -> -#(x, y))
    (max#(s x, s y) -> max#(x, y), max#(s x, s y) -> max#(x, y))
    (f# s x -> *#(s x, s x), *#(x, s y) -> +#(x, *(x, y)))
    (f# s x -> *#(s x, s x), *#(x, s y) -> *#(x, y))
    (f# s x -> -#(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0()))), -#(s x, s y) -> -#(x, y))
    (f# s x -> max#(s *(s x, s x), +(s x, s s s s 0())), max#(s x, s y) -> max#(x, y))
    (f# s x -> +#(s x, s s s 0()), +#(s x, y) -> +#(x, y))}
   STATUS:
    arrows: 0.875740
    SCCS (6):
     Scc:
      {min#(s x, s y) -> min#(x, y)}
     Scc:
      {f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
     Scc:
      {*#(x, s y) -> *#(x, y)}
     Scc:
      {-#(s x, s y) -> -#(x, y)}
     Scc:
      {max#(s x, s y) -> max#(x, y)}
     Scc:
      {+#(s x, y) -> +#(x, y)}
     
     SCC (1):
      Strict:
       {min#(s x, s y) -> min#(x, y)}
      Weak:
      {  min(x, 0()) -> 0(),
         min(0(), y) -> 0(),
       min(s x, s y) -> s min(x, y),
         max(x, 0()) -> x,
         max(0(), y) -> y,
       max(s x, s y) -> s max(x, y),
           +(0(), y) -> y,
           +(s x, y) -> s +(x, y),
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
           *(x, 0()) -> 0(),
           *(x, s y) -> +(x, *(x, y)),
               f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Open
     SCC (1):
      Strict:
       {f# s x -> f# -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Weak:
      {  min(x, 0()) -> 0(),
         min(0(), y) -> 0(),
       min(s x, s y) -> s min(x, y),
         max(x, 0()) -> x,
         max(0(), y) -> y,
       max(s x, s y) -> s max(x, y),
           +(0(), y) -> y,
           +(s x, y) -> s +(x, y),
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
           *(x, 0()) -> 0(),
           *(x, s y) -> +(x, *(x, y)),
               f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Open
     
     SCC (1):
      Strict:
       {*#(x, s y) -> *#(x, y)}
      Weak:
      {  min(x, 0()) -> 0(),
         min(0(), y) -> 0(),
       min(s x, s y) -> s min(x, y),
         max(x, 0()) -> x,
         max(0(), y) -> y,
       max(s x, s y) -> s max(x, y),
           +(0(), y) -> y,
           +(s x, y) -> s +(x, y),
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
           *(x, 0()) -> 0(),
           *(x, s y) -> +(x, *(x, y)),
               f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Open
     
     
     SCC (1):
      Strict:
       {-#(s x, s y) -> -#(x, y)}
      Weak:
      {  min(x, 0()) -> 0(),
         min(0(), y) -> 0(),
       min(s x, s y) -> s min(x, y),
         max(x, 0()) -> x,
         max(0(), y) -> y,
       max(s x, s y) -> s max(x, y),
           +(0(), y) -> y,
           +(s x, y) -> s +(x, y),
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
           *(x, 0()) -> 0(),
           *(x, s y) -> +(x, *(x, y)),
               f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Open
     
     
     SCC (1):
      Strict:
       {max#(s x, s y) -> max#(x, y)}
      Weak:
      {  min(x, 0()) -> 0(),
         min(0(), y) -> 0(),
       min(s x, s y) -> s min(x, y),
         max(x, 0()) -> x,
         max(0(), y) -> y,
       max(s x, s y) -> s max(x, y),
           +(0(), y) -> y,
           +(s x, y) -> s +(x, y),
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
           *(x, 0()) -> 0(),
           *(x, s y) -> +(x, *(x, y)),
               f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Open
     
     
     SCC (1):
      Strict:
       {+#(s x, y) -> +#(x, y)}
      Weak:
      {  min(x, 0()) -> 0(),
         min(0(), y) -> 0(),
       min(s x, s y) -> s min(x, y),
         max(x, 0()) -> x,
         max(0(), y) -> y,
       max(s x, s y) -> s max(x, y),
           +(0(), y) -> y,
           +(s x, y) -> s +(x, y),
           -(x, 0()) -> x,
         -(s x, s y) -> -(x, y),
           *(x, 0()) -> 0(),
           *(x, s y) -> +(x, *(x, y)),
               f s x -> f -(max(*(s x, s x), +(s x, s s s 0())), max(s *(s x, s x), +(s x, s s s s 0())))}
      Open