NO

Problem:
 *(*(x,y),z) -> *(x,*(y,z))
 *(+(x,y),z) -> +(*(x,z),*(y,z))
 *(x,+(y,f(z))) -> *(g(x,z),+(y,y))

Proof:
 Unfolding Processor:
  loop length: 2
  terms:
   *(x48,+(f(z),f(x49)))
   *(g(x48,x49),+(f(z),f(z)))
  context: []
  substitution:
   z -> z
   x48 -> g(g(x48,x49),z)
   x49 -> z
  Qed