Problem:
 h(f(f(x))) -> h(f(g(f(x))))
 f(g(f(x))) -> f(f(x))

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {3,2}
   transitions:
    h0(1) -> 2*
    f0(1) -> 3*
    g0(1) -> 1*
  problem:
   
  Qed