Problem:
 c(c(c(a(x,y)))) -> b(c(c(c(c(y)))),x)
 c(c(b(c(y),0()))) -> a(0(),c(c(a(y,0()))))
 c(c(a(a(y,0()),x))) -> c(y)

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {4}
   transitions:
    c0(2) -> 4*
    c0(1) -> 4*
    c0(3) -> 4*
    a0(3,1) -> 1*
    a0(3,3) -> 1*
    a0(1,2) -> 1*
    a0(2,1) -> 1*
    a0(2,3) -> 1*
    a0(3,2) -> 1*
    a0(1,1) -> 1*
    a0(1,3) -> 1*
    a0(2,2) -> 1*
    b0(3,1) -> 2*
    b0(3,3) -> 2*
    b0(1,2) -> 2*
    b0(2,1) -> 2*
    b0(2,3) -> 2*
    b0(3,2) -> 2*
    b0(1,1) -> 2*
    b0(1,3) -> 2*
    b0(2,2) -> 2*
    00() -> 3*
  problem:
   
  Qed