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

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {3}
   transitions:
    a1(10) -> 11*
    a1(5) -> 6*
    a1(12) -> 13*
    a1(9) -> 10*
    a1(13) -> 14*
    b1(11) -> 12*
    b1(6) -> 7*
    b1(8) -> 9*
    c1(7) -> 8*
    c1(4) -> 5*
    c1(28) -> 29*
    a2(35) -> 36*
    a2(39) -> 40*
    a2(36) -> 37*
    a2(31) -> 32*
    a2(38) -> 39*
    c0(2) -> 3*
    c0(1) -> 3*
    b2(37) -> 38*
    b2(32) -> 33*
    b2(34) -> 35*
    b0(2) -> 1*
    b0(1) -> 1*
    c2(30) -> 31*
    c2(33) -> 34*
    a0(2) -> 2*
    a0(1) -> 2*
    1 -> 28*
    2 -> 4*
    13 -> 30*
    14 -> 29,5,3
    29 -> 5*
    40 -> 8*
  problem:
   
  Qed