MAYBE
TRS:
 { cond(true(), x, y) -> cond(and(gr(x, 0()), gr(y, 0())), p(x), p(y)),
      and(x, false()) -> false(),
  and(true(), true()) -> true(),
      and(false(), x) -> false(),
           gr(0(), x) -> false(),
         gr(0(), 0()) -> false(),
        gr(s(x), 0()) -> true(),
       gr(s(x), s(y)) -> gr(x, y),
               p(0()) -> 0(),
              p(s(x)) -> x}
 DP:
  Strict:
   {cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)),
    cond#(true(), x, y) -> and#(gr(x, 0()), gr(y, 0())),
    cond#(true(), x, y) -> gr#(x, 0()),
    cond#(true(), x, y) -> gr#(y, 0()),
    cond#(true(), x, y) -> p#(x),
    cond#(true(), x, y) -> p#(y),
        gr#(s(x), s(y)) -> gr#(x, y)}
  Weak:
  { cond(true(), x, y) -> cond(and(gr(x, 0()), gr(y, 0())), p(x), p(y)),
       and(x, false()) -> false(),
   and(true(), true()) -> true(),
       and(false(), x) -> false(),
            gr(0(), x) -> false(),
          gr(0(), 0()) -> false(),
         gr(s(x), 0()) -> true(),
        gr(s(x), s(y)) -> gr(x, y),
                p(0()) -> 0(),
               p(s(x)) -> x}
  EDG:
   {(cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)), cond#(true(), x, y) -> p#(y))
    (cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)), cond#(true(), x, y) -> p#(x))
    (cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)), cond#(true(), x, y) -> gr#(y, 0()))
    (cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)), cond#(true(), x, y) -> gr#(x, 0()))
    (cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)), cond#(true(), x, y) -> and#(gr(x, 0()), gr(y, 0())))
    (cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)), cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y)))
    (gr#(s(x), s(y)) -> gr#(x, y), gr#(s(x), s(y)) -> gr#(x, y))}
   SCCS:
    Scc:
     {gr#(s(x), s(y)) -> gr#(x, y)}
    Scc:
     {cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y))}
    SCC:
     Strict:
      {gr#(s(x), s(y)) -> gr#(x, y)}
     Weak:
     { cond(true(), x, y) -> cond(and(gr(x, 0()), gr(y, 0())), p(x), p(y)),
          and(x, false()) -> false(),
      and(true(), true()) -> true(),
          and(false(), x) -> false(),
               gr(0(), x) -> false(),
             gr(0(), 0()) -> false(),
            gr(s(x), 0()) -> true(),
           gr(s(x), s(y)) -> gr(x, y),
                   p(0()) -> 0(),
                  p(s(x)) -> x}
     SPSC:
      Simple Projection:
       pi(gr#) = 0
      Strict:
       {}
      Qed
    SCC:
     Strict:
      {cond#(true(), x, y) -> cond#(and(gr(x, 0()), gr(y, 0())), p(x), p(y))}
     Weak:
     { cond(true(), x, y) -> cond(and(gr(x, 0()), gr(y, 0())), p(x), p(y)),
          and(x, false()) -> false(),
      and(true(), true()) -> true(),
          and(false(), x) -> false(),
               gr(0(), x) -> false(),
             gr(0(), 0()) -> false(),
            gr(s(x), 0()) -> true(),
           gr(s(x), s(y)) -> gr(x, y),
                   p(0()) -> 0(),
                  p(s(x)) -> x}
     Fail