YES

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

Proof:
 String Reversal Processor:
  a(a(b(a(b(x1))))) -> a(b(a(b(a(b(b(a(a(x1)))))))))
  Bounds Processor:
   bound: 4
   enrichment: match
   automaton:
    final states: {3}
    transitions:
     b3(202) -> 203*
     b3(197) -> 198*
     b3(134) -> 135*
     b3(114) -> 115*
     b3(156) -> 157*
     b3(136) -> 137*
     b3(116) -> 117*
     b3(198) -> 199*
     b3(158) -> 159*
     b3(138) -> 139*
     b3(133) -> 134*
     b3(118) -> 119*
     b3(113) -> 114*
     b3(200) -> 201*
     b3(160) -> 161*
     b3(155) -> 156*
     a4(219) -> 220*
     a4(179) -> 180*
     a4(221) -> 222*
     a4(216) -> 217*
     a4(181) -> 182*
     a4(176) -> 177*
     a4(223) -> 224*
     a4(183) -> 184*
     a4(215) -> 216*
     a4(175) -> 176*
     b4(222) -> 223*
     b4(217) -> 218*
     b4(182) -> 183*
     b4(177) -> 178*
     b4(218) -> 219*
     b4(178) -> 179*
     b4(220) -> 221*
     b4(180) -> 181*
     a0(3) -> 3*
     b0(3) -> 3*
     a1(20) -> 21*
     a1(15) -> 16*
     a1(22) -> 23*
     a1(54) -> 55*
     a1(14) -> 15*
     a1(46) -> 47*
     a1(18) -> 19*
     b1(17) -> 18*
     b1(19) -> 20*
     b1(21) -> 22*
     b1(16) -> 17*
     a2(30) -> 31*
     a2(25) -> 26*
     a2(107) -> 108*
     a2(102) -> 103*
     a2(97) -> 98*
     a2(92) -> 93*
     a2(72) -> 73*
     a2(52) -> 53*
     a2(32) -> 33*
     a2(109) -> 110*
     a2(94) -> 95*
     a2(89) -> 90*
     a2(74) -> 75*
     a2(69) -> 70*
     a2(24) -> 25*
     a2(141) -> 142*
     a2(101) -> 102*
     a2(88) -> 89*
     a2(68) -> 69*
     a2(28) -> 29*
     a2(105) -> 106*
     b2(75) -> 76*
     b2(70) -> 71*
     b2(27) -> 28*
     b2(104) -> 105*
     b2(29) -> 30*
     b2(106) -> 107*
     b2(91) -> 92*
     b2(71) -> 72*
     b2(31) -> 32*
     b2(26) -> 27*
     b2(108) -> 109*
     b2(103) -> 104*
     b2(93) -> 94*
     b2(73) -> 74*
     b2(95) -> 96*
     b2(90) -> 91*
     a3(157) -> 158*
     a3(137) -> 138*
     a3(132) -> 133*
     a3(117) -> 118*
     a3(112) -> 113*
     a3(199) -> 200*
     a3(159) -> 160*
     a3(154) -> 155*
     a3(139) -> 140*
     a3(119) -> 120*
     a3(201) -> 202*
     a3(196) -> 197*
     a3(161) -> 162*
     a3(131) -> 132*
     a3(111) -> 112*
     a3(203) -> 204*
     a3(153) -> 154*
     a3(195) -> 196*
     a3(135) -> 136*
     a3(115) -> 116*
     3 -> 14*
     17 -> 68*
     19 -> 24*
     21 -> 97,46
     23 -> 16,15,3
     25 -> 98,89,47
     27 -> 153,101
     29 -> 52*
     31 -> 88,54
     33 -> 16,3,14,15
     47 -> 25*
     53 -> 25*
     55 -> 15*
     73 -> 111*
     76 -> 24*
     96 -> 69*
     98 -> 89*
     106 -> 141*
     110 -> 55*
     114 -> 175*
     118 -> 131*
     120 -> 90,26
     140 -> 155,103
     142 -> 25*
     158 -> 195*
     162 -> 89*
     180 -> 215*
     184 -> 132*
     204 -> 90*
     224 -> 133*
   problem:
    
   Qed