YES

(VAR x0 x y)
(RULES
  i(h(x0)) -> g(j(h(x0)))
  g(f(x,x)) -> i(x)
  f(h(x),y) -> j(h(x))
  f(x,h(y)) -> j(x)
)

(COMMENT
Termination is shown by KBO with weight

  w0 = 3
  w(f) = 0
  w(h) = 1
  w(j) = 1
  w(g) = 1
  w(i) = 3

and precedence:

  h > f > j > i > g
)