MAYBE
Time: 0.002856
TRS:
 { cond2(true(), x, y) -> cond1(neq(x, 0()), y, y),
  cond2(false(), x, y) -> cond1(neq(x, 0()), 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),
         neq(0(), 0()) -> false(),
         neq(0(), s x) -> true(),
         neq(s x, 0()) -> true(),
         neq(s x, s y) -> neq(x, y),
                 p 0() -> 0(),
                 p s x -> x}
 DP:
  DP:
   { cond2#(true(), x, y) -> cond1#(neq(x, 0()), y, y),
     cond2#(true(), x, y) -> neq#(x, 0()),
    cond2#(false(), x, y) -> cond1#(neq(x, 0()), p x, y),
    cond2#(false(), x, y) -> neq#(x, 0()),
    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),
           neq#(s x, s y) -> neq#(x, y)}
  TRS:
  { cond2(true(), x, y) -> cond1(neq(x, 0()), y, y),
   cond2(false(), x, y) -> cond1(neq(x, 0()), 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),
          neq(0(), 0()) -> false(),
          neq(0(), s x) -> true(),
          neq(s x, 0()) -> true(),
          neq(s x, s y) -> neq(x, y),
                  p 0() -> 0(),
                  p s x -> x}
  EDG:
   {(gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
    (cond1#(true(), x, 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))
    (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(true(), x, y) -> cond1#(neq(x, 0()), y, y))
    (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(true(), x, y) -> neq#(x, 0()))
    (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(false(), x, y) -> cond1#(neq(x, 0()), p x, y))
    (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(false(), x, y) -> neq#(x, 0()))
    (cond1#(true(), x, y) -> cond2#(gr(x, y), x, y), cond2#(false(), x, y) -> p# x)
    (cond2#(true(), x, y) -> cond1#(neq(x, 0()), y, y), cond1#(true(), x, y) -> cond2#(gr(x, y), x, y))
    (cond2#(true(), x, y) -> cond1#(neq(x, 0()), y, y), cond1#(true(), x, y) -> gr#(x, y))
    (cond2#(false(), x, y) -> cond1#(neq(x, 0()), p x, y), cond1#(true(), x, y) -> cond2#(gr(x, y), x, y))
    (cond2#(false(), x, y) -> cond1#(neq(x, 0()), p x, y), cond1#(true(), x, y) -> gr#(x, y))}
   STATUS:
    arrows: 0.851852
    SCCS (3):
     Scc:
      {neq#(s x, s y) -> neq#(x, y)}
     Scc:
      { cond2#(true(), x, y) -> cond1#(neq(x, 0()), y, y),
       cond2#(false(), x, y) -> cond1#(neq(x, 0()), p x, y),
        cond1#(true(), x, y) -> cond2#(gr(x, y), 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(neq(x, 0()), y, y),
       cond2(false(), x, y) -> cond1(neq(x, 0()), 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),
              neq(0(), 0()) -> false(),
              neq(0(), s x) -> true(),
              neq(s x, 0()) -> true(),
              neq(s x, s y) -> neq(x, y),
                      p 0() -> 0(),
                      p s x -> x}
      Open
     SCC (3):
      Strict:
       { cond2#(true(), x, y) -> cond1#(neq(x, 0()), y, y),
        cond2#(false(), x, y) -> cond1#(neq(x, 0()), p x, y),
         cond1#(true(), x, y) -> cond2#(gr(x, y), x, y)}
      Weak:
      { cond2(true(), x, y) -> cond1(neq(x, 0()), y, y),
       cond2(false(), x, y) -> cond1(neq(x, 0()), 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),
              neq(0(), 0()) -> false(),
              neq(0(), s x) -> true(),
              neq(s x, 0()) -> true(),
              neq(s x, s y) -> neq(x, y),
                      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(neq(x, 0()), y, y),
       cond2(false(), x, y) -> cond1(neq(x, 0()), 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),
              neq(0(), 0()) -> false(),
              neq(0(), s x) -> true(),
              neq(s x, 0()) -> true(),
              neq(s x, s y) -> neq(x, y),
                      p 0() -> 0(),
                      p s x -> x}
      Open