MAYBE
MAYBE
TRS:
 {
         lt(x, 0()) -> false(),
      lt(0(), s(x)) -> true(),
     lt(s(x), s(y)) -> lt(x, y),
         help(x, c) -> if(lt(c, x), x, c),
             fac(x) -> help(x, 0()),
   if(true(), x, c) -> times(s(c), help(x, s(c))),
  if(false(), x, c) -> s(0())
 }
 DUP: We consider a duplicating system.
  Trs:
   {
           lt(x, 0()) -> false(),
        lt(0(), s(x)) -> true(),
       lt(s(x), s(y)) -> lt(x, y),
           help(x, c) -> if(lt(c, x), x, c),
               fac(x) -> help(x, 0()),
     if(true(), x, c) -> times(s(c), help(x, s(c))),
    if(false(), x, c) -> s(0())
   }
  Fail