MAYBE
Time: 0.001869
TRS:
 {               le(0(), y) -> true(),
               le(s x, 0()) -> false(),
               le(s x, s y) -> le(x, y),
              minus(0(), y) -> 0(),
              minus(s x, y) -> if_minus(le(s x, y), s x, y),
   if_minus(true(), s x, y) -> 0(),
  if_minus(false(), s x, y) -> s minus(x, y),
                gcd(0(), y) -> y,
              gcd(s x, 0()) -> s x,
              gcd(s x, s y) -> if_gcd(le(y, x), s x, s y),
   if_gcd(true(), s x, s y) -> gcd(minus(x, y), s y),
  if_gcd(false(), s x, s y) -> gcd(minus(y, x), s x)}
 DP:
  DP:
   {             le#(s x, s y) -> le#(x, y),
                minus#(s x, y) -> le#(s x, y),
                minus#(s x, y) -> if_minus#(le(s x, y), s x, y),
    if_minus#(false(), s x, y) -> minus#(x, y),
                gcd#(s x, s y) -> le#(y, x),
                gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y),
     if_gcd#(true(), s x, s y) -> minus#(x, y),
     if_gcd#(true(), s x, s y) -> gcd#(minus(x, y), s y),
    if_gcd#(false(), s x, s y) -> minus#(y, x),
    if_gcd#(false(), s x, s y) -> gcd#(minus(y, x), s x)}
  TRS:
  {               le(0(), y) -> true(),
                le(s x, 0()) -> false(),
                le(s x, s y) -> le(x, y),
               minus(0(), y) -> 0(),
               minus(s x, y) -> if_minus(le(s x, y), s x, y),
    if_minus(true(), s x, y) -> 0(),
   if_minus(false(), s x, y) -> s minus(x, y),
                 gcd(0(), y) -> y,
               gcd(s x, 0()) -> s x,
               gcd(s x, s y) -> if_gcd(le(y, x), s x, s y),
    if_gcd(true(), s x, s y) -> gcd(minus(x, y), s y),
   if_gcd(false(), s x, s y) -> gcd(minus(y, x), s x)}
  UR:
   {               le(0(), y) -> true(),
                 le(s x, 0()) -> false(),
                 le(s x, s y) -> le(x, y),
                minus(0(), y) -> 0(),
                minus(s x, y) -> if_minus(le(s x, y), s x, y),
     if_minus(true(), s x, y) -> 0(),
    if_minus(false(), s x, y) -> s minus(x, y),
                      a(z, w) -> z,
                      a(z, w) -> w}
   EDG:
    {(if_gcd#(false(), s x, s y) -> gcd#(minus(y, x), s x), gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y))
     (if_gcd#(false(), s x, s y) -> gcd#(minus(y, x), s x), gcd#(s x, s y) -> le#(y, x))
     (if_gcd#(false(), s x, s y) -> minus#(y, x), minus#(s x, y) -> if_minus#(le(s x, y), s x, y))
     (if_gcd#(false(), s x, s y) -> minus#(y, x), minus#(s x, y) -> le#(s x, y))
     (if_minus#(false(), s x, y) -> minus#(x, y), minus#(s x, y) -> if_minus#(le(s x, y), s x, y))
     (if_minus#(false(), s x, y) -> minus#(x, y), minus#(s x, y) -> le#(s x, y))
     (if_gcd#(true(), s x, s y) -> minus#(x, y), minus#(s x, y) -> if_minus#(le(s x, y), s x, y))
     (if_gcd#(true(), s x, s y) -> minus#(x, y), minus#(s x, y) -> le#(s x, y))
     (minus#(s x, y) -> if_minus#(le(s x, y), s x, y), if_minus#(false(), s x, y) -> minus#(x, y))
     (minus#(s x, y) -> le#(s x, y), le#(s x, s y) -> le#(x, y))
     (gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y), if_gcd#(true(), s x, s y) -> minus#(x, y))
     (gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y), if_gcd#(true(), s x, s y) -> gcd#(minus(x, y), s y))
     (gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y), if_gcd#(false(), s x, s y) -> minus#(y, x))
     (gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y), if_gcd#(false(), s x, s y) -> gcd#(minus(y, x), s x))
     (le#(s x, s y) -> le#(x, y), le#(s x, s y) -> le#(x, y))
     (gcd#(s x, s y) -> le#(y, x), le#(s x, s y) -> le#(x, y))
     (if_gcd#(true(), s x, s y) -> gcd#(minus(x, y), s y), gcd#(s x, s y) -> le#(y, x))
     (if_gcd#(true(), s x, s y) -> gcd#(minus(x, y), s y), gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y))}
    STATUS:
     arrows: 0.820000
     SCCS (3):
      Scc:
       {            gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y),
         if_gcd#(true(), s x, s y) -> gcd#(minus(x, y), s y),
        if_gcd#(false(), s x, s y) -> gcd#(minus(y, x), s x)}
      Scc:
       {            minus#(s x, y) -> if_minus#(le(s x, y), s x, y),
        if_minus#(false(), s x, y) -> minus#(x, y)}
      Scc:
       {le#(s x, s y) -> le#(x, y)}
      
      SCC (3):
       Strict:
        {            gcd#(s x, s y) -> if_gcd#(le(y, x), s x, s y),
          if_gcd#(true(), s x, s y) -> gcd#(minus(x, y), s y),
         if_gcd#(false(), s x, s y) -> gcd#(minus(y, x), s x)}
       Weak:
       {               le(0(), y) -> true(),
                     le(s x, 0()) -> false(),
                     le(s x, s y) -> le(x, y),
                    minus(0(), y) -> 0(),
                    minus(s x, y) -> if_minus(le(s x, y), s x, y),
         if_minus(true(), s x, y) -> 0(),
        if_minus(false(), s x, y) -> s minus(x, y),
                      gcd(0(), y) -> y,
                    gcd(s x, 0()) -> s x,
                    gcd(s x, s y) -> if_gcd(le(y, x), s x, s y),
         if_gcd(true(), s x, s y) -> gcd(minus(x, y), s y),
        if_gcd(false(), s x, s y) -> gcd(minus(y, x), s x)}
       Open
      
      
      SCC (2):
       Strict:
        {            minus#(s x, y) -> if_minus#(le(s x, y), s x, y),
         if_minus#(false(), s x, y) -> minus#(x, y)}
       Weak:
       {               le(0(), y) -> true(),
                     le(s x, 0()) -> false(),
                     le(s x, s y) -> le(x, y),
                    minus(0(), y) -> 0(),
                    minus(s x, y) -> if_minus(le(s x, y), s x, y),
         if_minus(true(), s x, y) -> 0(),
        if_minus(false(), s x, y) -> s minus(x, y),
                      gcd(0(), y) -> y,
                    gcd(s x, 0()) -> s x,
                    gcd(s x, s y) -> if_gcd(le(y, x), s x, s y),
         if_gcd(true(), s x, s y) -> gcd(minus(x, y), s y),
        if_gcd(false(), s x, s y) -> gcd(minus(y, x), 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(0(), y) -> 0(),
                    minus(s x, y) -> if_minus(le(s x, y), s x, y),
         if_minus(true(), s x, y) -> 0(),
        if_minus(false(), s x, y) -> s minus(x, y),
                      gcd(0(), y) -> y,
                    gcd(s x, 0()) -> s x,
                    gcd(s x, s y) -> if_gcd(le(y, x), s x, s y),
         if_gcd(true(), s x, s y) -> gcd(minus(x, y), s y),
        if_gcd(false(), s x, s y) -> gcd(minus(y, x), s x)}
       Open