YES

(VAR x0 x2 x1 x y)
(RULES
  i(i(x0)) -> x0
  /(/(x0,i(x2)),x2) -> x0
  /(x2,/(x0,x1)) -> /(/(x2,i(x1)),x0)
  /(/(x0,x1),i(x1)) -> x0
  /(1(),x0) -> i(x0)
  i(1()) -> 1()
  i(/(x,y)) -> /(y,x)
  /(x,1()) -> x
  /(x,x) -> 1()
)

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

  /_A(x1,x2) = x1 + x2 + 1
  1_A = 1
  i_A(x1) = x1
  /#_A(x1,x2) = x2
  1#_A = 0

weights

  w0 = 1
  w(/) = 0
  w(1) = 1
  w(i) = 0

and precedence:

i > / > 1
)