YES

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

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {1}
   transitions:
    a1(16) -> 17*
    a1(19) -> 20*
    a1(49) -> 50*
    a1(46) -> 47*
    a1(12) -> 13*
    a1(42) -> 43*
    a1(18) -> 19*
    a1(14) -> 15*
    a1(17) -> 18*
    a1(48) -> 49*
    a1(47) -> 48*
    a1(44) -> 45*
    a2(58) -> 59*
    a2(59) -> 60*
    a2(57) -> 58*
    a2(52) -> 53*
    a2(54) -> 55*
    a2(56) -> 57*
    b1(41) -> 42*
    b1(13) -> 14*
    b1(43) -> 44*
    b1(45) -> 46*
    b1(15) -> 16*
    b1(11) -> 12*
    f20() -> 2*
    b0(4) -> 5*
    b0(6) -> 7*
    b0(2) -> 3*
    a0(10) -> 1*
    a0(5) -> 6*
    a0(7) -> 8*
    a0(9) -> 10*
    a0(8) -> 9*
    a0(3) -> 4*
    b2(53) -> 54*
    b2(55) -> 56*
    b2(51) -> 52*
    19 -> 41*
    16 -> 51*
    60 -> 44*
    1 -> 3,5
    20 -> 7*
    9 -> 11*
    50 -> 14*
  problem:
   
  Qed