YES(?,O(n^1))

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

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {3}
   transitions:
    a1(30) -> 31*
    a1(25) -> 26*
    a1(32) -> 33*
    a1(21) -> 22*
    a1(28) -> 29*
    a1(18) -> 19*
    b1(20) -> 21*
    b1(27) -> 28*
    b1(29) -> 30*
    b1(24) -> 25*
    b1(26) -> 27*
    b1(23) -> 24*
    c1(22) -> 23*
    c1(19) -> 20*
    a2(39) -> 40*
    a2(46) -> 47*
    a2(36) -> 37*
    a2(48) -> 49*
    a2(43) -> 44*
    c0(2) -> 3*
    c0(1) -> 3*
    b2(45) -> 46*
    b2(47) -> 48*
    b2(42) -> 43*
    b2(44) -> 45*
    b2(41) -> 42*
    b2(38) -> 39*
    a0(2) -> 1*
    a0(1) -> 1*
    c2(40) -> 41*
    c2(37) -> 38*
    b0(2) -> 2*
    b0(1) -> 2*
    1 -> 32*
    2 -> 18*
    29 -> 36*
    31 -> 20,3
    33 -> 19*
    49 -> 23*
  problem:
   
  Qed