YES

(VAR x0 x1 x)
(RULES
  f(x0,nil()) -> nil()
  g(x0,x1) -> x0
  cdr(nil()) -> nil()
  cons(x,nil()) -> x
)

(COMMENT
Termination is shown by KBO with weight

  w0 = 1
  w(f) = 1
  w(nil) = 1
  w(g) = 2
  w(cdr) = 1
  w(cons) = 0

and precedence:

  g > cdr > f > cons > nil
)