MAYBE
Time: 0.004458
TRS:
 { cond2(true(), x, y) -> cond2(gr(y, 0()), p x, p y),
  cond2(false(), x, y) -> cond1(and(eq(x, y), gr(x, 0())), 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(y, 0()), x, y),
                 p 0() -> 0(),
                 p s x -> x,
       and(x, false()) -> false(),
   and(true(), true()) -> true(),
       and(false(), x) -> false(),
          eq(0(), 0()) -> true(),
          eq(0(), s x) -> false(),
          eq(s x, 0()) -> false(),
          eq(s x, s y) -> eq(x, y)}
 DP:
  DP:
   { cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y),
     cond2#(true(), x, y) -> gr#(y, 0()),
     cond2#(true(), x, y) -> p# y,
     cond2#(true(), x, y) -> p# x,
    cond2#(false(), x, y) -> gr#(x, 0()),
    cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y),
    cond2#(false(), x, y) -> and#(eq(x, y), gr(x, 0())),
    cond2#(false(), x, y) -> eq#(x, y),
            gr#(s x, s y) -> gr#(x, y),
     cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y),
     cond1#(true(), x, y) -> gr#(y, 0()),
            eq#(s x, s y) -> eq#(x, y)}
  TRS:
  { cond2(true(), x, y) -> cond2(gr(y, 0()), p x, p y),
   cond2(false(), x, y) -> cond1(and(eq(x, y), gr(x, 0())), 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(y, 0()), x, y),
                  p 0() -> 0(),
                  p s x -> x,
        and(x, false()) -> false(),
    and(true(), true()) -> true(),
        and(false(), x) -> false(),
           eq(0(), 0()) -> true(),
           eq(0(), s x) -> false(),
           eq(s x, 0()) -> false(),
           eq(s x, s y) -> eq(x, y)}
  EDG:
   {(cond2#(false(), x, y) -> eq#(x, y), eq#(s x, s y) -> eq#(x, y))
    (eq#(s x, s y) -> eq#(x, y), eq#(s x, s y) -> eq#(x, y))
    (cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y), cond1#(true(), x, y) -> gr#(y, 0()))
    (cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y), cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y))
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y))
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> gr#(y, 0()))
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> p# y)
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(true(), x, y) -> p# x)
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> gr#(x, 0()))
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y))
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> and#(eq(x, y), gr(x, 0())))
    (cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y), cond2#(false(), x, y) -> eq#(x, y))
    (gr#(s x, s y) -> gr#(x, y), gr#(s x, s y) -> gr#(x, y))
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y))
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(true(), x, y) -> gr#(y, 0()))
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(true(), x, y) -> p# y)
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(true(), x, y) -> p# x)
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(false(), x, y) -> gr#(x, 0()))
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y))
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(false(), x, y) -> and#(eq(x, y), gr(x, 0())))
    (cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y), cond2#(false(), x, y) -> eq#(x, y))}
   STATUS:
    arrows: 0.854167
    SCCS (3):
     Scc:
      {gr#(s x, s y) -> gr#(x, y)}
     Scc:
      { cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y),
       cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y),
        cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y)}
     Scc:
      {eq#(s x, s y) -> eq#(x, y)}
     
     SCC (1):
      Strict:
       {gr#(s x, s y) -> gr#(x, y)}
      Weak:
      { cond2(true(), x, y) -> cond2(gr(y, 0()), p x, p y),
       cond2(false(), x, y) -> cond1(and(eq(x, y), gr(x, 0())), 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(y, 0()), x, y),
                      p 0() -> 0(),
                      p s x -> x,
            and(x, false()) -> false(),
        and(true(), true()) -> true(),
            and(false(), x) -> false(),
               eq(0(), 0()) -> true(),
               eq(0(), s x) -> false(),
               eq(s x, 0()) -> false(),
               eq(s x, s y) -> eq(x, y)}
      Open
     SCC (3):
      Strict:
       { cond2#(true(), x, y) -> cond2#(gr(y, 0()), p x, p y),
        cond2#(false(), x, y) -> cond1#(and(eq(x, y), gr(x, 0())), x, y),
         cond1#(true(), x, y) -> cond2#(gr(y, 0()), x, y)}
      Weak:
      { cond2(true(), x, y) -> cond2(gr(y, 0()), p x, p y),
       cond2(false(), x, y) -> cond1(and(eq(x, y), gr(x, 0())), 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(y, 0()), x, y),
                      p 0() -> 0(),
                      p s x -> x,
            and(x, false()) -> false(),
        and(true(), true()) -> true(),
            and(false(), x) -> false(),
               eq(0(), 0()) -> true(),
               eq(0(), s x) -> false(),
               eq(s x, 0()) -> false(),
               eq(s x, s y) -> eq(x, y)}
      Open
     
     SCC (1):
      Strict:
       {eq#(s x, s y) -> eq#(x, y)}
      Weak:
      { cond2(true(), x, y) -> cond2(gr(y, 0()), p x, p y),
       cond2(false(), x, y) -> cond1(and(eq(x, y), gr(x, 0())), 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(y, 0()), x, y),
                      p 0() -> 0(),
                      p s x -> x,
            and(x, false()) -> false(),
        and(true(), true()) -> true(),
            and(false(), x) -> false(),
               eq(0(), 0()) -> true(),
               eq(0(), s x) -> false(),
               eq(s x, 0()) -> false(),
               eq(s x, s y) -> eq(x, y)}
      Open