YES

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

Proof:
 String Reversal Processor:
  a(a(b(c(x1)))) -> c(a(b(c(b(a(a(b(a(a(x1))))))))))
  Bounds Processor:
   bound: 3
   enrichment: match
   automaton:
    final states: {4}
    transitions:
     c3(157) -> 158*
     c3(142) -> 143*
     c3(171) -> 172*
     c3(168) -> 169*
     c3(160) -> 161*
     c3(145) -> 146*
     c1(25) -> 26*
     c1(22) -> 23*
     c1(36) -> 37*
     c1(33) -> 34*
     a3(162) -> 163*
     a3(152) -> 153*
     a3(137) -> 138*
     a3(159) -> 160*
     a3(154) -> 155*
     a3(144) -> 145*
     a3(139) -> 140*
     a3(166) -> 167*
     a3(151) -> 152*
     a3(136) -> 137*
     a3(163) -> 164*
     a3(170) -> 171*
     a3(165) -> 166*
     a3(155) -> 156*
     a3(140) -> 141*
     a1(75) -> 76*
     a1(35) -> 36*
     a1(30) -> 31*
     a1(20) -> 21*
     a1(27) -> 28*
     a1(17) -> 18*
     a1(24) -> 25*
     a1(19) -> 20*
     a1(31) -> 32*
     a1(16) -> 17*
     a1(28) -> 29*
     b3(167) -> 168*
     b3(169) -> 170*
     b3(164) -> 165*
     b3(156) -> 157*
     b3(141) -> 142*
     b3(158) -> 159*
     b3(153) -> 154*
     b3(143) -> 144*
     b3(138) -> 139*
     b1(32) -> 33*
     b1(34) -> 35*
     b1(29) -> 30*
     b1(21) -> 22*
     b1(23) -> 24*
     b1(18) -> 19*
     c2(62) -> 63*
     c2(134) -> 135*
     c2(59) -> 60*
     c2(131) -> 132*
     c2(101) -> 102*
     c2(86) -> 87*
     c2(98) -> 99*
     c2(83) -> 84*
     a0(4) -> 4*
     a2(92) -> 93*
     a2(77) -> 78*
     a2(57) -> 58*
     a2(129) -> 130*
     a2(54) -> 55*
     a2(126) -> 127*
     a2(96) -> 97*
     a2(81) -> 82*
     a2(61) -> 62*
     a2(56) -> 57*
     a2(133) -> 134*
     a2(128) -> 129*
     a2(93) -> 94*
     a2(78) -> 79*
     a2(53) -> 54*
     a2(125) -> 126*
     a2(100) -> 101*
     a2(95) -> 96*
     a2(90) -> 91*
     a2(85) -> 86*
     a2(80) -> 81*
     b0(4) -> 4*
     b2(60) -> 61*
     b2(55) -> 56*
     b2(132) -> 133*
     b2(127) -> 128*
     b2(97) -> 98*
     b2(82) -> 83*
     b2(99) -> 100*
     b2(94) -> 95*
     b2(84) -> 85*
     b2(79) -> 80*
     b2(58) -> 59*
     b2(130) -> 131*
     c0(4) -> 4*
     4 -> 16*
     22 -> 53*
     25 -> 77,27
     26 -> 18,17,4
     33 -> 92*
     36 -> 90,75
     37 -> 18,4,16,17
     63 -> 78,28
     76 -> 17*
     83 -> 136*
     86 -> 125*
     87 -> 21*
     91 -> 78*
     102 -> 76,91
     131 -> 162*
     134 -> 151*
     135 -> 55*
     146 -> 126*
     161 -> 58*
     172 -> 152*
   problem:
    
   Qed