YES

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

Proof:
 Bounds Processor:
  bound: 3
  enrichment: match
  automaton:
   final states: {1}
   transitions:
    a1(16) -> 17*
    a1(40) -> 41*
    a1(11) -> 12*
    a1(43) -> 44*
    a1(42) -> 43*
    a1(17) -> 18*
    a1(13) -> 14*
    a1(15) -> 16*
    a1(38) -> 39*
    a1(44) -> 45*
    a2(47) -> 48*
    a2(88) -> 89*
    a2(78) -> 79*
    a2(85) -> 86*
    a2(52) -> 53*
    a2(53) -> 54*
    a2(83) -> 84*
    a2(87) -> 88*
    a2(89) -> 90*
    a2(74) -> 75*
    a2(76) -> 77*
    a2(80) -> 81*
    a2(79) -> 80*
    a2(49) -> 50*
    a2(51) -> 52*
    b1(41) -> 42*
    b1(12) -> 13*
    b1(10) -> 11*
    b1(39) -> 40*
    b1(14) -> 15*
    b1(37) -> 38*
    f20() -> 2*
    b0(4) -> 5*
    b0(6) -> 7*
    b0(2) -> 3*
    a0(5) -> 6*
    a0(7) -> 8*
    a0(9) -> 1*
    a0(8) -> 9*
    a0(3) -> 4*
    b2(48) -> 49*
    b2(50) -> 51*
    b2(82) -> 83*
    b2(75) -> 76*
    b2(46) -> 47*
    b2(77) -> 78*
    b2(84) -> 85*
    b2(86) -> 87*
    b2(73) -> 74*
    b3(122) -> 123*
    b3(118) -> 119*
    b3(113) -> 114*
    b3(120) -> 121*
    b3(109) -> 110*
    b3(111) -> 112*
    a3(116) -> 117*
    a3(124) -> 125*
    a3(110) -> 111*
    a3(119) -> 120*
    a3(114) -> 115*
    a3(123) -> 124*
    a3(121) -> 122*
    a3(125) -> 126*
    a3(112) -> 113*
    a3(115) -> 116*
    42 -> 82*
    126 -> 112*
    7 -> 37*
    16 -> 46*
    45 -> 13*
    117 -> 51*
    54 -> 40*
    44 -> 73*
    1 -> 3,5
    90 -> 76*
    9 -> 10*
    18 -> 7*
    80 -> 109*
    81 -> 47*
    78 -> 118*
  problem:
   
  Qed