MAYBE
MAYBE
TRS:
 {
   cond2(true(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), p(x), y, z),
  cond2(false(), x, y, z) -> cond3(gr(y, 0()), x, y, z),
               gr(0(), x) -> false(),
            gr(s(x), 0()) -> true(),
           gr(s(x), s(y)) -> gr(x, y),
   cond1(true(), x, y, z) -> cond2(gr(x, 0()), x, y, z),
            or(x, true()) -> true(),
            or(true(), x) -> true(),
     or(false(), false()) -> false(),
                   p(0()) -> 0(),
                  p(s(x)) -> x,
   cond3(true(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), x, p(y), z),
  cond3(false(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), x, y, z)
 }
 DUP: We consider a duplicating system.
  Trs:
   {
     cond2(true(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), p(x), y, z),
    cond2(false(), x, y, z) -> cond3(gr(y, 0()), x, y, z),
                 gr(0(), x) -> false(),
              gr(s(x), 0()) -> true(),
             gr(s(x), s(y)) -> gr(x, y),
     cond1(true(), x, y, z) -> cond2(gr(x, 0()), x, y, z),
              or(x, true()) -> true(),
              or(true(), x) -> true(),
       or(false(), false()) -> false(),
                     p(0()) -> 0(),
                    p(s(x)) -> x,
     cond3(true(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), x, p(y), z),
    cond3(false(), x, y, z) -> cond1(or(gr(x, z), gr(y, z)), x, y, z)
   }
  Fail