MAYBE
Time: 0.010962
TRS:
 {cond(true(), x, y) -> cond(gr(x, y), p x, s y),
        gr(s x, s y) -> gr(x, y),
        gr(s x, 0()) -> true(),
          gr(0(), x) -> false(),
               p s x -> x,
               p 0() -> 0()}
 DP:
  DP:
   {cond#(true(), x, y) -> cond#(gr(x, y), p x, s y),
    cond#(true(), x, y) -> gr#(x, y),
    cond#(true(), x, y) -> p# x,
          gr#(s x, s y) -> gr#(x, y)}
  TRS:
  {cond(true(), x, y) -> cond(gr(x, y), p x, s y),
         gr(s x, s y) -> gr(x, y),
         gr(s x, 0()) -> true(),
           gr(0(), x) -> false(),
                p s x -> x,
                p 0() -> 0()}
  EDG:
   {(cond#(true(), x, y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
    (cond#(true(), x, y) -> cond#(gr(x, y), p x, s y), cond#(true(), x, y) -> p# x)
    (cond#(true(), x, y) -> cond#(gr(x, y), p x, s y), cond#(true(), x, y) -> gr#(x, y))
    (cond#(true(), x, y) -> cond#(gr(x, y), p x, s y), cond#(true(), x, y) -> cond#(gr(x, y), p x, s y))
    (gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))}
   STATUS:
    arrows: 0.687500
    SCCS (2):
     Scc:
      {cond#(true(), x, y) -> cond#(gr(x, y), p x, s y)}
     Scc:
      {gr#(s x, s y) -> gr#(x, y)}
     
     SCC (1):
      Strict:
       {cond#(true(), x, y) -> cond#(gr(x, y), p x, s y)}
      Weak:
      {cond(true(), x, y) -> cond(gr(x, y), p x, s y),
             gr(s x, s y) -> gr(x, y),
             gr(s x, 0()) -> true(),
               gr(0(), x) -> false(),
                    p s x -> x,
                    p 0() -> 0()}
      Fail
     
     SCC (1):
      Strict:
       {gr#(s x, s y) -> gr#(x, y)}
      Weak:
      {cond(true(), x, y) -> cond(gr(x, y), p x, s y),
             gr(s x, s y) -> gr(x, y),
             gr(s x, 0()) -> true(),
               gr(0(), x) -> false(),
                    p s x -> x,
                    p 0() -> 0()}
      POLY:
       Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
       Interpretation:
        [cond](x0, x1, x2) = x0 + x1 + 1,
        
        [gr](x0, x1) = x0 + 1,
        
        [p](x0) = x0,
        
        [s](x0) = x0 + 1,
        
        [true] = 1,
        
        [false] = 0,
        
        [0] = 1,
        
        [gr#](x0, x1) = x0
       Strict:
        gr#(s x, s y) -> gr#(x, y)
        1 + 0x + 1y >= 0 + 0x + 1y
       Weak:
        p 0() -> 0()
        1 >= 1
        p s x -> x
        1 + 1x >= 1x
        gr(0(), x) -> false()
        2 + 0x >= 0
        gr(s x, 0()) -> true()
        2 + 1x >= 1
        gr(s x, s y) -> gr(x, y)
        2 + 1x + 0y >= 1 + 1x + 0y
        cond(true(), x, y) -> cond(gr(x, y), p x, s y)
        2 + 1x + 0y >= 2 + 2x + 0y
      Qed