YES

Problem:
 0(1(2(3(4(5(1(x1))))))) -> 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(x1)))))))))))))))))))
 0(1(2(3(4(5(1(x1))))))) ->
 1(2(3(4(5(1(1(0(1(2(3(4(5(0(1(2(3(4(5(0(1(2(3(4(5(x1)))))))))))))))))))))))))

Proof:
 String Reversal Processor:
  1(5(4(3(2(1(0(x1))))))) -> 5(4(3(2(1(0(5(4(3(2(1(0(1(1(5(4(3(2(1(x1)))))))))))))))))))
  1(5(4(3(2(1(0(x1))))))) ->
  5(4(3(2(1(0(5(4(3(2(1(0(5(4(3(2(1(0(1(1(5(4(3(2(1(x1)))))))))))))))))))))))))
  Bounds Processor:
   bound: 3
   enrichment: match
   automaton:
    final states: {6,5,4,3,2,1}
    transitions:
     53(184) -> 185*
     53(176) -> 177*
     53(190) -> 191*
     51(20) -> 21*
     51(12) -> 13*
     51(26) -> 27*
     43(189) -> 190*
     43(183) -> 184*
     43(175) -> 176*
     41(25) -> 26*
     41(19) -> 20*
     41(11) -> 12*
     33(182) -> 183*
     33(174) -> 175*
     33(188) -> 189*
     31(10) -> 11*
     31(24) -> 25*
     31(18) -> 19*
     23(187) -> 188*
     23(181) -> 182*
     23(173) -> 174*
     21(17) -> 18*
     21(9) -> 10*
     21(23) -> 24*
     13(192) -> 193*
     13(177) -> 178*
     13(172) -> 173*
     13(194) -> 195*
     13(186) -> 187*
     13(178) -> 179*
     13(180) -> 181*
     11(80) -> 81*
     11(50) -> 51*
     11(52) -> 53*
     11(22) -> 23*
     11(14) -> 15*
     11(76) -> 77*
     11(16) -> 17*
     11(78) -> 79*
     11(13) -> 14*
     11(8) -> 9*
     03(179) -> 180*
     03(196) -> 197*
     03(185) -> 186*
     01(15) -> 16*
     01(82) -> 83*
     01(21) -> 22*
     52(102) -> 103*
     52(96) -> 97*
     52(88) -> 89*
     10(5) -> 1*
     10(2) -> 1*
     10(4) -> 1*
     10(6) -> 1*
     10(1) -> 1*
     10(3) -> 1*
     42(87) -> 88*
     42(101) -> 102*
     42(95) -> 96*
     50(5) -> 2*
     50(2) -> 2*
     50(4) -> 2*
     50(6) -> 2*
     50(1) -> 2*
     50(3) -> 2*
     32(94) -> 95*
     32(86) -> 87*
     32(100) -> 101*
     40(5) -> 3*
     40(2) -> 3*
     40(4) -> 3*
     40(6) -> 3*
     40(1) -> 3*
     40(3) -> 3*
     22(85) -> 86*
     22(99) -> 100*
     22(93) -> 94*
     30(5) -> 4*
     30(2) -> 4*
     30(4) -> 4*
     30(6) -> 4*
     30(1) -> 4*
     30(3) -> 4*
     12(90) -> 91*
     12(142) -> 143*
     12(92) -> 93*
     12(104) -> 105*
     12(89) -> 90*
     12(84) -> 85*
     12(166) -> 167*
     12(138) -> 139*
     12(98) -> 99*
     20(5) -> 5*
     20(2) -> 5*
     20(4) -> 5*
     20(6) -> 5*
     20(1) -> 5*
     20(3) -> 5*
     02(97) -> 98*
     02(134) -> 135*
     02(91) -> 92*
     00(5) -> 6*
     00(2) -> 6*
     00(4) -> 6*
     00(6) -> 6*
     00(1) -> 6*
     00(3) -> 6*
     1 -> 78*
     2 -> 50*
     3 -> 80*
     4 -> 52*
     5 -> 8*
     6 -> 76*
     15 -> 138*
     21 -> 104*
     27 -> 51,9,14,82,1
     51 -> 9*
     53 -> 9*
     77 -> 9*
     79 -> 9*
     81 -> 9*
     82 -> 84*
     83 -> 22*
     91 -> 194*
     97 -> 192,142
     103 -> 105,15,85,134,1,78,79
     105 -> 85*
     134 -> 172,166
     135 -> 98*
     139 -> 85*
     143 -> 85*
     167 -> 85*
     191 -> 193,173,196,143,167,139
     193 -> 173*
     195 -> 173*
     197 -> 186*
   problem:
    
   Qed