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

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {3,2}
   transitions:
    a1(6) -> 7*
    b1(5) -> 6*
    b1(4) -> 5*
    c2(17) -> 18*
    c2(16) -> 17*
    c2(18) -> 19*
    a0(1) -> 2*
    b0(1) -> 3*
    c0(1) -> 1*
    1 -> 4*
    4 -> 16*
    7 -> 5,3
    19 -> 6*
  problem:
   
  Qed