Problem:
 a(a(b(x1))) -> c(c(a(a(a(x1)))))
 a(c(x1)) -> b(a(x1))

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {3}
   transitions:
    b1(5) -> 6*
    a1(12) -> 13*
    a1(4) -> 5*
    a0(2) -> 3*
    a0(1) -> 3*
    b0(2) -> 1*
    b0(1) -> 1*
    c0(2) -> 2*
    c0(1) -> 2*
    1 -> 12*
    2 -> 4*
    6 -> 5,3
    13 -> 5*
  problem:
   
  Qed