YES

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

(COMMENT
Termination is shown by LPO with precedence:

  g > f > - > + > 0
)