YES

(VAR x z y x0 x1)
(RULES
  f3(f3(f3(f3(x)))) -> f3(x)
  f3(j(z)) -> f3(f3(z))
  f2(y) -> f3(y)
  f1(y) -> f3(y)
  f4(y) -> f3(y)
  f5(y) -> f3(y)
  f6(y) -> f3(y)
  f7(y) -> f3(y)
  f8(y) -> f3(y)
  f9(y) -> f3(y)
  f10(y) -> f3(y)
  f11(y) -> f3(y)
  f12(y) -> f3(y)
  f13(y) -> f3(y)
  f14(y) -> f3(y)
  g(x0,x1) -> f3(x1)
)

(COMMENT
Termination is shown by LPO with precedence:

  g > f12 > f8 > f10 > f13 > f14 > f11 > f9 > j > f5 > f7 > f2 > f6 > f4 > f1 > f3
)