MAYBE
MAYBE
TRS:
 {
    plus(0(), x) -> x,
   plus(s(x), y) -> s(plus(p(s(x)), y)),
       p(s(0())) -> 0(),
      p(s(s(x))) -> s(p(s(x))),
   times(0(), y) -> 0(),
  times(s(x), y) -> plus(y, times(p(s(x)), y)),
     fac(0(), x) -> x,
    fac(s(x), y) -> fac(p(s(x)), times(s(x), y)),
    factorial(x) -> fac(x, s(0()))
 }
 DUP: We consider a duplicating system.
  Trs:
   {
      plus(0(), x) -> x,
     plus(s(x), y) -> s(plus(p(s(x)), y)),
         p(s(0())) -> 0(),
        p(s(s(x))) -> s(p(s(x))),
     times(0(), y) -> 0(),
    times(s(x), y) -> plus(y, times(p(s(x)), y)),
       fac(0(), x) -> x,
      fac(s(x), y) -> fac(p(s(x)), times(s(x), y)),
      factorial(x) -> fac(x, s(0()))
   }
  Fail