MAYBE
Time: 0.995550
TRS:
 { cond2(true(), x, y) -> cond1(gr0 x, y, y),
  cond2(false(), x, y) -> cond1(gr0 x, p x, y),
            gr(0(), x) -> false(),
          gr(s x, 0()) -> true(),
          gr(s x, s y) -> gr(x, y),
   cond1(true(), x, y) -> cond2(gr(x, y), x, y),
               gr0 0() -> false(),
               gr0 s x -> true(),
                 p 0() -> 0(),
                 p s x -> x}
 DP:
  DP:
   { cond2#(true(), x, y) -> cond1#(gr0 x, y, y),
     cond2#(true(), x, y) -> gr0# x,
    cond2#(false(), x, y) -> cond1#(gr0 x, p x, y),
    cond2#(false(), x, y) -> gr0# x,
    cond2#(false(), x, y) -> p# x,
            gr#(s x, s y) -> gr#(x, y),
     cond1#(true(), x, y) -> cond2#(gr(x, y), x, y),
     cond1#(true(), x, y) -> gr#(x, y)}
  TRS:
  { cond2(true(), x, y) -> cond1(gr0 x, y, y),
   cond2(false(), x, y) -> cond1(gr0 x, p x, y),
             gr(0(), x) -> false(),
           gr(s x, 0()) -> true(),
           gr(s x, s y) -> gr(x, y),
    cond1(true(), x, y) -> cond2(gr(x, y), x, y),
                gr0 0() -> false(),
                gr0 s x -> true(),
                  p 0() -> 0(),
                  p s x -> x}
  UR:
   {  gr(0(), x) -> false(),
    gr(s x, 0()) -> true(),
    gr(s x, s y) -> gr(x, y),
         gr0 0() -> false(),
         gr0 s x -> true(),
           p 0() -> 0(),
           p s x -> x,
         a(z, w) -> z,
         a(z, w) -> w}
   EDG:
    {(cond2#(true(), x, y) -> cond1#(gr0 x, y, y), cond1#(true(), x, y) -> gr#(x, y))
     (cond2#(true(), x, y) -> cond1#(gr0 x, y, y), cond1#(true(), x, y) -> cond2#(gr(x, y), x, y))
     (cond1#(true(), x, y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
     (gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
     (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(true(), x, y) -> cond1#(gr0 x, y, y))
     (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(true(), x, y) -> gr0# x)
     (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(false(), x, y) -> cond1#(gr0 x, p x, y))
     (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(false(), x, y) -> gr0# x)
     (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(false(), x, y) -> p# x)
     (cond2#(false(), x, y) -> cond1#(gr0 x, p x, y), cond1#(true(), x, y) -> cond2#(gr(x, y), x, y))
     (cond2#(false(), x, y) -> cond1#(gr0 x, p x, y), cond1#(true(), x, y) -> gr#(x, y))}
    STATUS:
     arrows: 0.828125
     SCCS (2):
      Scc:
       { cond2#(true(), x, y) -> cond1#(gr0 x, y, y),
        cond2#(false(), x, y) -> cond1#(gr0 x, p x, y),
         cond1#(true(), x, y) -> cond2#(gr(x, y), x, y)}
      Scc:
       {gr#(s x, s y) -> gr#(x, y)}
      
      SCC (3):
       Strict:
        { cond2#(true(), x, y) -> cond1#(gr0 x, y, y),
         cond2#(false(), x, y) -> cond1#(gr0 x, p x, y),
          cond1#(true(), x, y) -> cond2#(gr(x, y), x, y)}
       Weak:
       { cond2(true(), x, y) -> cond1(gr0 x, y, y),
        cond2(false(), x, y) -> cond1(gr0 x, p x, y),
                  gr(0(), x) -> false(),
                gr(s x, 0()) -> true(),
                gr(s x, s y) -> gr(x, y),
         cond1(true(), x, y) -> cond2(gr(x, y), x, y),
                     gr0 0() -> false(),
                     gr0 s x -> true(),
                       p 0() -> 0(),
                       p s x -> x}
       Open
      
      
      
      
      SCC (1):
       Strict:
        {gr#(s x, s y) -> gr#(x, y)}
       Weak:
       { cond2(true(), x, y) -> cond1(gr0 x, y, y),
        cond2(false(), x, y) -> cond1(gr0 x, p x, y),
                  gr(0(), x) -> false(),
                gr(s x, 0()) -> true(),
                gr(s x, s y) -> gr(x, y),
         cond1(true(), x, y) -> cond2(gr(x, y), x, y),
                     gr0 0() -> false(),
                     gr0 s x -> true(),
                       p 0() -> 0(),
                       p s x -> x}
       Open