MAYBE
Time: 0.008088
TRS:
 {               le(0(), y) -> true(),
               le(s x, 0()) -> false(),
               le(s x, s y) -> le(x, y),
              minus(x, 0()) -> x,
            minus(s x, s y) -> minus(x, y),
                mod(0(), y) -> 0(),
              mod(s x, 0()) -> 0(),
              mod(s x, s y) -> if_mod(le(y, x), s x, s y),
       if_mod(true(), x, y) -> mod(minus(x, y), y),
  if_mod(false(), s x, s y) -> s x}
 DP:
  DP:
   {        le#(s x, s y) -> le#(x, y),
         minus#(s x, s y) -> minus#(x, y),
           mod#(s x, s y) -> le#(y, x),
           mod#(s x, s y) -> if_mod#(le(y, x), s x, s y),
    if_mod#(true(), x, y) -> minus#(x, y),
    if_mod#(true(), x, y) -> mod#(minus(x, y), y)}
  TRS:
  {               le(0(), y) -> true(),
                le(s x, 0()) -> false(),
                le(s x, s y) -> le(x, y),
               minus(x, 0()) -> x,
             minus(s x, s y) -> minus(x, y),
                 mod(0(), y) -> 0(),
               mod(s x, 0()) -> 0(),
               mod(s x, s y) -> if_mod(le(y, x), s x, s y),
        if_mod(true(), x, y) -> mod(minus(x, y), y),
   if_mod(false(), s x, s y) -> s x}
  EDG:
   {(le#(s x, s y) -> le#(x, y), le#(s x, s y) -> le#(x, y))
    (mod#(s x, s y) -> if_mod#(le(y, x), s x, s y), if_mod#(true(), x, y) -> mod#(minus(x, y), y))
    (mod#(s x, s y) -> if_mod#(le(y, x), s x, s y), if_mod#(true(), x, y) -> minus#(x, y))
    (if_mod#(true(), x, y) -> mod#(minus(x, y), y), mod#(s x, s y) -> if_mod#(le(y, x), s x, s y))
    (if_mod#(true(), x, y) -> mod#(minus(x, y), y), mod#(s x, s y) -> le#(y, x))
    (if_mod#(true(), x, y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y))
    (minus#(s x, s y) -> minus#(x, y), minus#(s x, s y) -> minus#(x, y))
    (mod#(s x, s y) -> le#(y, x), le#(s x, s y) -> le#(x, y))}
   STATUS:
    arrows: 0.777778
    SCCS (3):
     Scc:
      {       mod#(s x, s y) -> if_mod#(le(y, x), s x, s y),
       if_mod#(true(), x, y) -> mod#(minus(x, y), y)}
     Scc:
      {minus#(s x, s y) -> minus#(x, y)}
     Scc:
      {le#(s x, s y) -> le#(x, y)}
     
     SCC (2):
      Strict:
       {       mod#(s x, s y) -> if_mod#(le(y, x), s x, s y),
        if_mod#(true(), x, y) -> mod#(minus(x, y), y)}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(x, 0()) -> x,
                 minus(s x, s y) -> minus(x, y),
                     mod(0(), y) -> 0(),
                   mod(s x, 0()) -> 0(),
                   mod(s x, s y) -> if_mod(le(y, x), s x, s y),
            if_mod(true(), x, y) -> mod(minus(x, y), y),
       if_mod(false(), s x, s y) -> s x}
      Open
     
     SCC (1):
      Strict:
       {minus#(s x, s y) -> minus#(x, y)}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(x, 0()) -> x,
                 minus(s x, s y) -> minus(x, y),
                     mod(0(), y) -> 0(),
                   mod(s x, 0()) -> 0(),
                   mod(s x, s y) -> if_mod(le(y, x), s x, s y),
            if_mod(true(), x, y) -> mod(minus(x, y), y),
       if_mod(false(), s x, s y) -> s x}
      Open
     
     SCC (1):
      Strict:
       {le#(s x, s y) -> le#(x, y)}
      Weak:
      {               le(0(), y) -> true(),
                    le(s x, 0()) -> false(),
                    le(s x, s y) -> le(x, y),
                   minus(x, 0()) -> x,
                 minus(s x, s y) -> minus(x, y),
                     mod(0(), y) -> 0(),
                   mod(s x, 0()) -> 0(),
                   mod(s x, s y) -> if_mod(le(y, x), s x, s y),
            if_mod(true(), x, y) -> mod(minus(x, y), y),
       if_mod(false(), s x, s y) -> s x}
      Open