MAYBE
Time: 0.315791
TRS:
 {cond(true(), x, y) -> cond(gr(x, y), x, add(x, y)),
          gr(0(), x) -> false(),
        gr(s x, 0()) -> true(),
        gr(s x, s y) -> gr(x, y),
         add(0(), x) -> x,
         add(s x, y) -> s add(x, y)}
 DP:
  DP:
   {cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y)),
    cond#(true(), x, y) -> gr#(x, y),
    cond#(true(), x, y) -> add#(x, y),
          gr#(s x, s y) -> gr#(x, y),
           add#(s x, y) -> add#(x, y)}
  TRS:
  {cond(true(), x, y) -> cond(gr(x, y), x, add(x, y)),
           gr(0(), x) -> false(),
         gr(s x, 0()) -> true(),
         gr(s x, s y) -> gr(x, y),
          add(0(), x) -> x,
          add(s x, y) -> s add(x, y)}
  UR:
   {  gr(0(), x) -> false(),
    gr(s x, 0()) -> true(),
    gr(s x, s y) -> gr(x, y),
     add(0(), x) -> x,
     add(s x, y) -> s add(x, y),
         a(z, w) -> z,
         a(z, w) -> w}
   EDG:
    {(cond#(true(), x, y) -> add#(x, y), add#(s x, y) -> add#(x, y))
     (add#(s x, y) -> add#(x, y), add#(s x, y) -> add#(x, y))
     (cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y)), cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y)))
     (cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y)), cond#(true(), x, y) -> gr#(x, y))
     (cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y)), cond#(true(), x, y) -> add#(x, y))
     (gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
     (cond#(true(), x, y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))}
    STATUS:
     arrows: 0.720000
     SCCS (3):
      Scc:
       {cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y))}
      Scc:
       {add#(s x, y) -> add#(x, y)}
      Scc:
       {gr#(s x, s y) -> gr#(x, y)}
      
      SCC (1):
       Strict:
        {cond#(true(), x, y) -> cond#(gr(x, y), x, add(x, y))}
       Weak:
       {cond(true(), x, y) -> cond(gr(x, y), x, add(x, y)),
                gr(0(), x) -> false(),
              gr(s x, 0()) -> true(),
              gr(s x, s y) -> gr(x, y),
               add(0(), x) -> x,
               add(s x, y) -> s add(x, y)}
       Open
      
      SCC (1):
       Strict:
        {add#(s x, y) -> add#(x, y)}
       Weak:
       {cond(true(), x, y) -> cond(gr(x, y), x, add(x, y)),
                gr(0(), x) -> false(),
              gr(s x, 0()) -> true(),
              gr(s x, s y) -> gr(x, y),
               add(0(), x) -> x,
               add(s x, y) -> s add(x, y)}
       Open
      
      SCC (1):
       Strict:
        {gr#(s x, s y) -> gr#(x, y)}
       Weak:
       {cond(true(), x, y) -> cond(gr(x, y), x, add(x, y)),
                gr(0(), x) -> false(),
              gr(s x, 0()) -> true(),
              gr(s x, s y) -> gr(x, y),
               add(0(), x) -> x,
               add(s x, y) -> s add(x, y)}
       Open