MAYBE
MAYBE
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)
 }
 DUP: We consider a duplicating system.
  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)
   }
  Fail