YES

(VAR x1 x0 y z x)
(RULES
  -(+(x1,x0)) -> +(-(x0),-(x1))
  +(-(x0),+(x0,x1)) -> x1
  g(x0,x1) -> f(x0,+(x0,-(x1)),x1)
  +(-(x0),x0) -> 0()
  -(0()) -> 0()
  -(-(x0)) -> x0
  +(0(),x0) -> x0
  +(x0,0()) -> x0
  +(x1,+(-(x1),x0)) -> x0
  f(0(),y,z) -> y
  +(x,-(x)) -> 0()
  +(+(x,y),z) -> +(x,+(y,z))
)

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

  +_A(x1,x2) = x1 + x2 + 1
  0_A = 0
  -_A(x1) = x1
  f_A(x1,x2,x3) = x2 + 2
  g_A(x1,x2) = x1 + x2 + 3
  0#_A = 0
  g#_A(x1,x2) = x1

and precedence:

g > - > + > f > 0
)