MAYBE
Time: 0.119697
TRS:
 { cond2(true(), x, y) -> cond1(y, y),
  cond2(false(), x, y) -> cond1(p x, y),
          gr(s x, s y) -> gr(x, y),
          gr(s x, 0()) -> true(),
            gr(0(), x) -> false(),
         cond1(s x, y) -> cond2(gr(s x, y), s x, y),
                 p s x -> x,
                 p 0() -> 0(),
         neq(s x, s y) -> neq(x, y),
         neq(s x, 0()) -> true(),
         neq(0(), s x) -> true(),
         neq(0(), 0()) -> false()}
 DP:
  DP:
   { cond2#(true(), x, y) -> cond1#(y, y),
    cond2#(false(), x, y) -> cond1#(p x, y),
    cond2#(false(), x, y) -> p# x,
            gr#(s x, s y) -> gr#(x, y),
           cond1#(s x, y) -> cond2#(gr(s x, y), s x, y),
           cond1#(s x, y) -> gr#(s x, y),
           neq#(s x, s y) -> neq#(x, y)}
  TRS:
  { cond2(true(), x, y) -> cond1(y, y),
   cond2(false(), x, y) -> cond1(p x, y),
           gr(s x, s y) -> gr(x, y),
           gr(s x, 0()) -> true(),
             gr(0(), x) -> false(),
          cond1(s x, y) -> cond2(gr(s x, y), s x, y),
                  p s x -> x,
                  p 0() -> 0(),
          neq(s x, s y) -> neq(x, y),
          neq(s x, 0()) -> true(),
          neq(0(), s x) -> true(),
          neq(0(), 0()) -> false()}
  UR:
   {gr(s x, s y) -> gr(x, y),
    gr(s x, 0()) -> true(),
      gr(0(), x) -> false(),
           p s x -> x,
           p 0() -> 0(),
         a(z, w) -> z,
         a(z, w) -> w}
   EDG:
    {(cond1#(s x, y) -> gr#(s 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))
     (neq#(s x, s y) -> neq#(x, y), neq#(s x, s y) -> neq#(x, y))
     (cond2#(true(), x, y) -> cond1#(y, y), cond1#(s x, y) -> cond2#(gr(s x, y), s x, y))
     (cond2#(true(), x, y) -> cond1#(y, y), cond1#(s x, y) -> gr#(s x, y))
     (cond1#(s x, y) -> cond2#(gr(s x, y), s x, y), cond2#(true(), x, y) -> cond1#(y, y))
     (cond1#(s x, y) -> cond2#(gr(s x, y), s x, y), cond2#(false(), x, y) -> cond1#(p x, y))
     (cond1#(s x, y) -> cond2#(gr(s x, y), s x, y), cond2#(false(), x, y) -> p# x)
     (cond2#(false(), x, y) -> cond1#(p x, y), cond1#(s x, y) -> cond2#(gr(s x, y), s x, y))
     (cond2#(false(), x, y) -> cond1#(p x, y), cond1#(s x, y) -> gr#(s x, y))}
    STATUS:
     arrows: 0.795918
     SCCS (3):
      Scc:
       {neq#(s x, s y) -> neq#(x, y)}
      Scc:
       { cond2#(true(), x, y) -> cond1#(y, y),
        cond2#(false(), x, y) -> cond1#(p x, y),
               cond1#(s x, y) -> cond2#(gr(s x, y), s x, y)}
      Scc:
       {gr#(s x, s y) -> gr#(x, y)}
      
      SCC (1):
       Strict:
        {neq#(s x, s y) -> neq#(x, y)}
       Weak:
       { cond2(true(), x, y) -> cond1(y, y),
        cond2(false(), x, y) -> cond1(p x, y),
                gr(s x, s y) -> gr(x, y),
                gr(s x, 0()) -> true(),
                  gr(0(), x) -> false(),
               cond1(s x, y) -> cond2(gr(s x, y), s x, y),
                       p s x -> x,
                       p 0() -> 0(),
               neq(s x, s y) -> neq(x, y),
               neq(s x, 0()) -> true(),
               neq(0(), s x) -> true(),
               neq(0(), 0()) -> false()}
       Open
      SCC (3):
       Strict:
        { cond2#(true(), x, y) -> cond1#(y, y),
         cond2#(false(), x, y) -> cond1#(p x, y),
                cond1#(s x, y) -> cond2#(gr(s x, y), s x, y)}
       Weak:
       { cond2(true(), x, y) -> cond1(y, y),
        cond2(false(), x, y) -> cond1(p x, y),
                gr(s x, s y) -> gr(x, y),
                gr(s x, 0()) -> true(),
                  gr(0(), x) -> false(),
               cond1(s x, y) -> cond2(gr(s x, y), s x, y),
                       p s x -> x,
                       p 0() -> 0(),
               neq(s x, s y) -> neq(x, y),
               neq(s x, 0()) -> true(),
               neq(0(), s x) -> true(),
               neq(0(), 0()) -> false()}
       Open
      
      
      SCC (1):
       Strict:
        {gr#(s x, s y) -> gr#(x, y)}
       Weak:
       { cond2(true(), x, y) -> cond1(y, y),
        cond2(false(), x, y) -> cond1(p x, y),
                gr(s x, s y) -> gr(x, y),
                gr(s x, 0()) -> true(),
                  gr(0(), x) -> false(),
               cond1(s x, y) -> cond2(gr(s x, y), s x, y),
                       p s x -> x,
                       p 0() -> 0(),
               neq(s x, s y) -> neq(x, y),
               neq(s x, 0()) -> true(),
               neq(0(), s x) -> true(),
               neq(0(), 0()) -> false()}
       Open