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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {3,2}
   transitions:
    b1(9) -> 10*
    b1(6) -> 7*
    c1(8) -> 9*
    a0(1) -> 2*
    b0(1) -> 1*
    c0(1) -> 3*
    1 -> 8,6
    7 -> 2*
    10 -> 6*
  problem:
   
  Qed