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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {3,2}
   transitions:
    b1(6) -> 7*
    a0(1) -> 2*
    b0(1) -> 3*
    c0(1) -> 1*
    1 -> 3,6,2
    6 -> 7,2
    7 -> 2*
  problem:
   
  Qed