MAYBE
Time: 0.008072
TRS:
 {            p 0() -> 0(),
              p s x -> x,
         le(0(), y) -> true(),
       le(s x, 0()) -> false(),
       le(s x, s y) -> le(x, y),
      minus(x, 0()) -> x,
      minus(x, s y) -> if(le(x, s y), 0(), p minus(x, p s y)),
   if(true(), x, y) -> x,
  if(false(), x, y) -> y}
 DP:
  DP:
   { le#(s x, s y) -> le#(x, y),
    minus#(x, s y) -> p# s y,
    minus#(x, s y) -> p# minus(x, p s y),
    minus#(x, s y) -> le#(x, s y),
    minus#(x, s y) -> minus#(x, p s y),
    minus#(x, s y) -> if#(le(x, s y), 0(), p minus(x, p s y))}
  TRS:
  {            p 0() -> 0(),
               p s x -> x,
          le(0(), y) -> true(),
        le(s x, 0()) -> false(),
        le(s x, s y) -> le(x, y),
       minus(x, 0()) -> x,
       minus(x, s y) -> if(le(x, s y), 0(), p minus(x, p s y)),
    if(true(), x, y) -> x,
   if(false(), x, y) -> y}
  EDG:
   {(minus#(x, s y) -> minus#(x, p s y), minus#(x, s y) -> if#(le(x, s y), 0(), p minus(x, p s y)))
    (minus#(x, s y) -> minus#(x, p s y), minus#(x, s y) -> minus#(x, p s y))
    (minus#(x, s y) -> minus#(x, p s y), minus#(x, s y) -> le#(x, s y))
    (minus#(x, s y) -> minus#(x, p s y), minus#(x, s y) -> p# minus(x, p s y))
    (minus#(x, s y) -> minus#(x, p s y), minus#(x, s y) -> p# s y)
    (minus#(x, s y) -> le#(x, s y), le#(s x, s y) -> le#(x, y))
    (le#(s x, s y) -> le#(x, y), le#(s x, s y) -> le#(x, y))}
   STATUS:
    arrows: 0.805556
    SCCS (2):
     Scc:
      {minus#(x, s y) -> minus#(x, p s y)}
     Scc:
      {le#(s x, s y) -> le#(x, y)}
     
     SCC (1):
      Strict:
       {minus#(x, s y) -> minus#(x, p s y)}
      Weak:
      {            p 0() -> 0(),
                   p s x -> x,
              le(0(), y) -> true(),
            le(s x, 0()) -> false(),
            le(s x, s y) -> le(x, y),
           minus(x, 0()) -> x,
           minus(x, s y) -> if(le(x, s y), 0(), p minus(x, p s y)),
        if(true(), x, y) -> x,
       if(false(), x, y) -> y}
      Open
     
     
     
     
     SCC (1):
      Strict:
       {le#(s x, s y) -> le#(x, y)}
      Weak:
      {            p 0() -> 0(),
                   p s x -> x,
              le(0(), y) -> true(),
            le(s x, 0()) -> false(),
            le(s x, s y) -> le(x, y),
           minus(x, 0()) -> x,
           minus(x, s y) -> if(le(x, s y), 0(), p minus(x, p s y)),
        if(true(), x, y) -> x,
       if(false(), x, y) -> y}
      Open