YES

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

Proof:
 String Reversal Processor:
  b(a(b(a(a(b(x1)))))) -> a(b(a(b(a(b(a(x1)))))))
  Bounds Processor:
   bound: 3
   enrichment: match
   automaton:
    final states: {3}
    transitions:
     a3(152) -> 153*
     a3(164) -> 165*
     a3(114) -> 115*
     a3(126) -> 127*
     a3(116) -> 117*
     a3(118) -> 119*
     a3(120) -> 121*
     a1(20) -> 21*
     a1(22) -> 23*
     a1(12) -> 13*
     a1(24) -> 25*
     a1(14) -> 15*
     a1(26) -> 27*
     a1(16) -> 17*
     a1(98) -> 99*
     a1(58) -> 59*
     a1(18) -> 19*
     a1(150) -> 151*
     b3(117) -> 118*
     b3(119) -> 120*
     b3(115) -> 116*
     b1(25) -> 26*
     b1(15) -> 16*
     b1(17) -> 18*
     b1(21) -> 22*
     b1(23) -> 24*
     b1(13) -> 14*
     a2(50) -> 51*
     a2(40) -> 41*
     a2(112) -> 113*
     a2(92) -> 93*
     a2(52) -> 53*
     a2(42) -> 43*
     a2(94) -> 95*
     a2(54) -> 55*
     a2(44) -> 45*
     a2(86) -> 87*
     a2(56) -> 57*
     a2(46) -> 47*
     a2(158) -> 159*
     a2(138) -> 139*
     a2(128) -> 129*
     a2(88) -> 89*
     a2(38) -> 39*
     a2(100) -> 101*
     a2(90) -> 91*
     b0(3) -> 3*
     b2(55) -> 56*
     b2(87) -> 88*
     b2(89) -> 90*
     b2(39) -> 40*
     b2(91) -> 92*
     b2(51) -> 52*
     b2(41) -> 42*
     b2(53) -> 54*
     b2(43) -> 44*
     a0(3) -> 3*
     3 -> 12*
     13 -> 86*
     15 -> 50*
     17 -> 38,20
     19 -> 90,16,14,3
     21 -> 138*
     23 -> 112*
     25 -> 46*
     27 -> 3,12,14
     39 -> 126*
     41 -> 114,100
     43 -> 94,58
     45 -> 18,14,3,16
     47 -> 39*
     51 -> 152*
     53 -> 128*
     55 -> 98*
     57 -> 42,24
     59 -> 13*
     93 -> 54*
     95 -> 39*
     99 -> 13*
     101 -> 39*
     113 -> 51*
     115 -> 164*
     117 -> 158*
     119 -> 150*
     121 -> 118,42
     127 -> 115*
     129 -> 39*
     139 -> 87*
     151 -> 13*
     153 -> 115*
     159 -> 39*
     165 -> 115*
   problem:
    
   Qed