YES

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

Proof:
 Bounds Processor:
  bound: 3
  enrichment: match
  automaton:
   final states: {4}
   transitions:
    a1(23) -> 24*
    a1(25) -> 26*
    a1(19) -> 20*
    a1(17) -> 18*
    c3(95) -> 96*
    c3(89) -> 90*
    c1(16) -> 17*
    c1(22) -> 23*
    c1(27) -> 28*
    c1(81) -> 82*
    b1(21) -> 22*
    b1(20) -> 21*
    b1(24) -> 25*
    b1(18) -> 19*
    b0(4) -> 4*
    b3(91) -> 92*
    b3(94) -> 95*
    b3(97) -> 98*
    b3(93) -> 94*
    a3(92) -> 93*
    a3(90) -> 91*
    a3(96) -> 97*
    a3(98) -> 99*
    c0(4) -> 4*
    a0(4) -> 4*
    a2(53) -> 54*
    a2(49) -> 50*
    a2(40) -> 41*
    a2(47) -> 48*
    a2(36) -> 37*
    a2(55) -> 56*
    a2(34) -> 35*
    a2(42) -> 43*
    c2(52) -> 53*
    c2(33) -> 34*
    c2(39) -> 40*
    c2(57) -> 58*
    c2(46) -> 47*
    c2(87) -> 88*
    b2(38) -> 39*
    b2(54) -> 55*
    b2(50) -> 51*
    b2(48) -> 49*
    b2(41) -> 42*
    b2(37) -> 38*
    b2(35) -> 36*
    b2(51) -> 52*
    56 -> 22*
    43 -> 51,21
    42 -> 81,57
    28 -> 17*
    4 -> 16*
    82 -> 17*
    88 -> 34*
    58 -> 47*
    26 -> 21,4
    40 -> 89,87
    99 -> 51*
    25 -> 46,27
    23 -> 33*
  problem:
   
  Qed