YES

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

Proof:
 String Reversal Processor:
  a(a(a(b(a(b(x1)))))) -> b(a(b(a(b(a(a(a(a(x1)))))))))
  Bounds Processor:
   bound: 4
   enrichment: match
   automaton:
    final states: {2,1}
    transitions:
     a3(197) -> 198*
     a3(187) -> 188*
     a3(182) -> 183*
     a3(177) -> 178*
     a3(172) -> 173*
     a3(204) -> 205*
     a3(199) -> 200*
     a3(194) -> 195*
     a3(189) -> 190*
     a3(184) -> 185*
     a3(179) -> 180*
     a3(174) -> 175*
     a3(129) -> 130*
     a3(119) -> 120*
     a3(201) -> 202*
     a3(196) -> 197*
     a3(131) -> 132*
     a3(121) -> 122*
     a3(183) -> 184*
     a3(173) -> 174*
     a3(133) -> 134*
     a3(128) -> 129*
     a3(123) -> 124*
     a3(118) -> 119*
     a3(195) -> 196*
     a3(185) -> 186*
     a3(175) -> 176*
     a3(135) -> 136*
     a3(130) -> 131*
     a3(125) -> 126*
     a3(120) -> 121*
     b4(236) -> 237*
     b4(226) -> 227*
     b4(216) -> 217*
     b4(238) -> 239*
     b4(228) -> 229*
     b4(218) -> 219*
     b4(240) -> 241*
     b4(230) -> 231*
     b4(220) -> 221*
     a4(237) -> 238*
     a4(232) -> 233*
     a4(227) -> 228*
     a4(222) -> 223*
     a4(217) -> 218*
     a4(212) -> 213*
     a4(239) -> 240*
     a4(234) -> 235*
     a4(229) -> 230*
     a4(224) -> 225*
     a4(219) -> 220*
     a4(214) -> 215*
     a4(233) -> 234*
     a4(223) -> 224*
     a4(213) -> 214*
     a4(235) -> 236*
     a4(225) -> 226*
     a4(215) -> 216*
     a0(2) -> 1*
     a0(1) -> 1*
     b0(2) -> 2*
     b0(1) -> 2*
     b1(40) -> 41*
     b1(10) -> 11*
     b1(42) -> 43*
     b1(12) -> 13*
     b1(44) -> 45*
     b1(8) -> 9*
     a1(5) -> 6*
     a1(82) -> 83*
     a1(37) -> 38*
     a1(7) -> 8*
     a1(39) -> 40*
     a1(34) -> 35*
     a1(9) -> 10*
     a1(4) -> 5*
     a1(41) -> 42*
     a1(36) -> 37*
     a1(11) -> 12*
     a1(6) -> 7*
     a1(88) -> 89*
     a1(48) -> 49*
     a1(43) -> 44*
     a1(38) -> 39*
     b2(64) -> 65*
     b2(156) -> 157*
     b2(106) -> 107*
     b2(66) -> 67*
     b2(158) -> 159*
     b2(108) -> 109*
     b2(68) -> 69*
     b2(160) -> 161*
     b2(110) -> 111*
     a2(65) -> 66*
     a2(60) -> 61*
     a2(157) -> 158*
     a2(152) -> 153*
     a2(112) -> 113*
     a2(107) -> 108*
     a2(102) -> 103*
     a2(67) -> 68*
     a2(62) -> 63*
     a2(159) -> 160*
     a2(154) -> 155*
     a2(114) -> 115*
     a2(109) -> 110*
     a2(104) -> 105*
     a2(116) -> 117*
     a2(61) -> 62*
     a2(153) -> 154*
     a2(138) -> 139*
     a2(103) -> 104*
     a2(63) -> 64*
     a2(155) -> 156*
     a2(105) -> 106*
     a2(100) -> 101*
     b3(202) -> 203*
     b3(132) -> 133*
     b3(122) -> 123*
     b3(134) -> 135*
     b3(124) -> 125*
     b3(186) -> 187*
     b3(176) -> 177*
     b3(136) -> 137*
     b3(126) -> 127*
     b3(198) -> 199*
     b3(188) -> 189*
     b3(178) -> 179*
     b3(200) -> 201*
     b3(190) -> 191*
     b3(180) -> 181*
     1 -> 34*
     2 -> 4*
     8 -> 102*
     10 -> 60,48
     12 -> 114,36
     13 -> 6,7,35,1
     35 -> 5*
     40 -> 138*
     42 -> 100,88
     44 -> 116,82
     45 -> 6,1,34,7,35
     49 -> 37*
     64 -> 128*
     66 -> 118*
     68 -> 112*
     69 -> 103,6,104,8,7
     83 -> 5*
     89 -> 5*
     101 -> 61*
     108 -> 172,152
     111 -> 104,62,38
     113 -> 103*
     115 -> 103*
     117 -> 103*
     122 -> 222*
     124 -> 204*
     126 -> 182*
     127 -> 106,103,104,105
     137 -> 104*
     139 -> 61*
     158 -> 194*
     161 -> 139,61
     178 -> 212*
     181 -> 129*
     191 -> 154,174
     200 -> 232*
     203 -> 64,128
     205 -> 119*
     221 -> 132*
     231 -> 184*
     241 -> 131*
   problem:
    
   Qed