YES

(VAR x y)
(RULES
  i(x) -> g(f(x,x))
  f(h(x),y) -> j(h(x))
  f(x,h(y)) -> j(x)
)

(COMMENT
Termination is shown by ELPO with interpretations on natural numbers

  f_A(x1,x2) = x2 + 28958
  h_A(x1) = 1
  j_A(x1) = 0
  g_A(x1) = x1
  i_A(x1) = x1 + 28959
  f#_A(x1,x2) = x1 + x2
  h#_A(x1) = x1
  j#_A(x1) = x1
  g#_A(x1) = x1
  i#_A(x1) = x1

and precedence:

h > i > f > j > g
)