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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {4,3}
   transitions:
    g1(9) -> 10*
    a1() -> 9*
    f1(7) -> 8*
    b1() -> 7*
    f0(2) -> 3*
    f0(1) -> 3*
    a0() -> 1*
    b0() -> 2*
    g0(2) -> 4*
    g0(1) -> 4*
    8 -> 3*
    10 -> 4*
  problem:
   
  Qed