MAYBE
Time: 0.009883
TRS:
 {cond(true(), x, y) -> cond(gr(x, y), y, x),
          gr(0(), x) -> false(),
        gr(s x, 0()) -> true(),
        gr(s x, s y) -> gr(x, y)}
 DP:
  DP:
   {cond#(true(), x, y) -> cond#(gr(x, y), y, x),
    cond#(true(), x, y) -> gr#(x, y),
          gr#(s x, s y) -> gr#(x, y)}
  TRS:
  {cond(true(), x, y) -> cond(gr(x, y), y, x),
           gr(0(), x) -> false(),
         gr(s x, 0()) -> true(),
         gr(s x, s y) -> gr(x, y)}
  UR:
   {  gr(0(), x) -> false(),
    gr(s x, 0()) -> true(),
    gr(s x, s y) -> gr(x, y),
         a(z, w) -> z,
         a(z, w) -> w}
   EDG:
    {(gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
     (cond#(true(), x, y) -> cond#(gr(x, y), y, x), cond#(true(), x, y) -> cond#(gr(x, y), y, x))
     (cond#(true(), x, y) -> cond#(gr(x, y), y, x), cond#(true(), x, y) -> gr#(x, y))
     (cond#(true(), x, y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))}
    STATUS:
     arrows: 0.555556
     SCCS (2):
      Scc:
       {cond#(true(), x, y) -> cond#(gr(x, y), y, x)}
      Scc:
       {gr#(s x, s y) -> gr#(x, y)}
      
      SCC (1):
       Strict:
        {cond#(true(), x, y) -> cond#(gr(x, y), y, x)}
       Weak:
       {cond(true(), x, y) -> cond(gr(x, y), y, x),
                gr(0(), x) -> false(),
              gr(s x, 0()) -> true(),
              gr(s x, s y) -> gr(x, y)}
       Fail
      
      SCC (1):
       Strict:
        {gr#(s x, s y) -> gr#(x, y)}
       Weak:
       {cond(true(), x, y) -> cond(gr(x, y), y, x),
                gr(0(), x) -> false(),
              gr(s x, 0()) -> true(),
              gr(s x, s y) -> gr(x, y)}
       POLY:
        Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
        Interpretation:
         [cond](x0, x1, x2) = x0 + x1 + x2 + 1,
         
         [gr](x0, x1) = x0 + x1,
         
         [s](x0) = x0 + 1,
         
         [true] = 1,
         
         [false] = 0,
         
         [0] = 0,
         
         [gr#](x0, x1) = x0
        Strict:
         gr#(s x, s y) -> gr#(x, y)
         1 + 0x + 1y >= 0 + 0x + 1y
        Weak:
         gr(s x, s y) -> gr(x, y)
         2 + 1x + 1y >= 0 + 1x + 1y
         gr(s x, 0()) -> true()
         1 + 1x >= 1
         gr(0(), x) -> false()
         0 + 1x >= 0
         cond(true(), x, y) -> cond(gr(x, y), y, x)
         2 + 1x + 1y >= 1 + 2x + 2y
       Qed