YES

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

Proof:
 String Reversal Processor:
  a(b(a(a(b(a(a(x1))))))) -> b(a(a(a(b(a(a(b(a(x1)))))))))
  Bounds Processor:
   bound: 3
   enrichment: match
   automaton:
    final states: {3}
    transitions:
     b3(222) -> 223*
     b3(194) -> 195*
     b3(191) -> 192*
     b3(156) -> 157*
     b3(198) -> 199*
     b3(153) -> 154*
     b3(220) -> 221*
     b3(160) -> 161*
     b1(15) -> 16*
     b1(27) -> 28*
     b1(22) -> 23*
     b1(84) -> 85*
     b1(24) -> 25*
     b1(176) -> 177*
     b1(31) -> 32*
     b1(18) -> 19*
     a3(197) -> 198*
     a3(192) -> 193*
     a3(157) -> 158*
     a3(152) -> 153*
     a3(214) -> 215*
     a3(159) -> 160*
     a3(154) -> 155*
     a3(196) -> 197*
     a3(193) -> 194*
     a3(158) -> 159*
     a3(200) -> 201*
     a3(195) -> 196*
     a3(190) -> 191*
     a3(155) -> 156*
     a1(30) -> 31*
     a1(25) -> 26*
     a1(20) -> 21*
     a1(17) -> 18*
     a1(29) -> 30*
     a1(19) -> 20*
     a1(14) -> 15*
     a1(26) -> 27*
     a1(21) -> 22*
     a1(16) -> 17*
     a1(28) -> 29*
     b2(45) -> 46*
     b2(212) -> 213*
     b2(112) -> 113*
     b2(102) -> 103*
     b2(87) -> 88*
     b2(52) -> 53*
     b2(204) -> 205*
     b2(174) -> 175*
     b2(109) -> 110*
     b2(99) -> 100*
     b2(94) -> 95*
     b2(206) -> 207*
     b2(136) -> 137*
     b2(116) -> 117*
     b2(106) -> 107*
     b2(133) -> 134*
     b2(128) -> 129*
     b2(48) -> 49*
     b2(140) -> 141*
     b2(90) -> 91*
     a0(3) -> 3*
     a2(50) -> 51*
     a2(137) -> 138*
     a2(132) -> 133*
     a2(92) -> 93*
     a2(47) -> 48*
     a2(139) -> 140*
     a2(134) -> 135*
     a2(114) -> 115*
     a2(104) -> 105*
     a2(89) -> 90*
     a2(49) -> 50*
     a2(44) -> 45*
     a2(111) -> 112*
     a2(101) -> 102*
     a2(91) -> 92*
     a2(86) -> 87*
     a2(51) -> 52*
     a2(46) -> 47*
     a2(138) -> 139*
     a2(113) -> 114*
     a2(108) -> 109*
     a2(103) -> 104*
     a2(98) -> 99*
     a2(93) -> 94*
     a2(88) -> 89*
     a2(135) -> 136*
     a2(115) -> 116*
     a2(110) -> 111*
     a2(105) -> 106*
     a2(100) -> 101*
     b0(3) -> 3*
     3 -> 14*
     16 -> 98*
     19 -> 86*
     20 -> 44*
     21 -> 24*
     23 -> 87,99,20,17,15,3
     25 -> 132*
     28 -> 108*
     30 -> 84*
     32 -> 99,17,3,15
     47 -> 212*
     50 -> 204*
     51 -> 176*
     53 -> 22,3,14,45,15,18,21
     85 -> 16*
     88 -> 190*
     91 -> 152*
     93 -> 128*
     95 -> 109,50,29
     107 -> 133,47,26
     110 -> 214*
     113 -> 200*
     115 -> 174*
     117 -> 87,20
     129 -> 46*
     141 -> 99,17
     155 -> 222*
     158 -> 220*
     159 -> 206*
     161 -> 50*
     175 -> 46*
     177 -> 16*
     199 -> 47*
     201 -> 153*
     205 -> 110*
     207 -> 46*
     213 -> 134*
     215 -> 191*
     221 -> 154*
     223 -> 192*
   problem:
    
   Qed