Problem:
 a() -> a()
 a() -> b()
 a() -> g(a())
 b() -> g(g(b()))

Proof:
 Nonconfluence Processor:
  terms: b() *<- a() ->* g(b())
  Qed
  
  first automaton:
   final states: {3}
   transitions:
    b() -> 3*
    g(3) -> 143*
    g(143) -> 3*
  
  second automaton:
   final states: {7}
   transitions:
    b() -> 8*
    g(7) -> 8*
    g(8) -> 7*