YES

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

Proof:
 String Reversal Processor:
  2(1(0(0(x1)))) -> 0(0(1(3(2(x1)))))
  2(1(0(0(x1)))) -> 2(0(0(1(3(x1)))))
  2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1))))))
  4(0(1(0(x1)))) -> 0(0(4(1(3(x1)))))
  4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1))))))
  4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1))))))
  4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1))))))
  5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1))))))
  5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1))))))
  2(4(1(0(x1)))) -> 0(4(1(3(2(x1)))))
  2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1))))))
  2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1))))))
  4(0(5(0(x1)))) -> 5(3(0(0(4(x1)))))
  4(0(5(0(x1)))) -> 4(3(0(0(5(x1)))))
  5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1))))))
  5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1))))))
  5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1))))))
  2(1(0(2(x1)))) -> 2(1(4(2(0(x1)))))
  2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1))))))
  2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1))))))
  2(4(0(2(x1)))) -> 1(2(2(0(4(x1)))))
  2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1))))))
  2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1))))))
  2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1))))))
  2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1))))))
  2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1))))))
  2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1))))))
  2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1))))))
  2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1))))))
  2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1))))))
  5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1))))))
  5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1))))))
  4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1))))))
  2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1))))))
  2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1))))))
  4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1))))))
  2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1))))))
  5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1))))))
  4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1))))))
  2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1))))))
  4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1))))))
  2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1))))))
  2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1))))))
  2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1))))))
  2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1))))))
  2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1))))))
  2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1))))))
  2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1))))))
  2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1))))))
  2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {201,197,193,191,186,182,177,172,169,164,160,158,157,
                   153,150,145,140,135,131,125,122,119,116,112,109,105,
                   100,96,93,90,86,81,77,72,68,64,61,58,55,50,48,43,38,
                   32,26,21,18,12,7,1}
    transitions:
     41(231) -> 232*
     41(227) -> 228*
     41(205) -> 206*
     01(224) -> 225*
     01(206) -> 207*
     01(207) -> 208*
     01(225) -> 226*
     00(168) -> 164*
     00(47) -> 157*
     00(13) -> 14*
     00(5) -> 6*
     00(31) -> 26*
     00(187) -> 188*
     00(44) -> 202*
     00(34) -> 62*
     00(41) -> 42*
     00(142) -> 143*
     00(154) -> 155*
     00(97) -> 123*
     00(174) -> 175*
     00(126) -> 136*
     00(82) -> 83*
     00(20) -> 18*
     00(75) -> 76*
     00(42) -> 38*
     00(22) -> 23*
     00(129) -> 130*
     00(45) -> 46*
     00(195) -> 196*
     00(27) -> 51*
     00(33) -> 34*
     00(29) -> 30*
     00(139) -> 135*
     00(23) -> 24*
     00(70) -> 71*
     00(66) -> 67*
     00(141) -> 161*
     00(118) -> 116*
     00(6) -> 1*
     00(3) -> 187*
     00(89) -> 86*
     00(76) -> 72*
     00(37) -> 32*
     00(159) -> 158*
     00(107) -> 108*
     00(71) -> 68*
     00(19) -> 20*
     00(146) -> 147*
     00(49) -> 48*
     00(184) -> 185*
     00(10) -> 11*
     00(134) -> 131*
     00(128) -> 129*
     00(65) -> 66*
     00(9) -> 10*
     00(56) -> 57*
     00(46) -> 47*
     00(114) -> 115*
     00(51) -> 59*
     00(167) -> 168*
     00(2) -> 13*
     f60() -> 2*
     50(51) -> 132*
     50(67) -> 64*
     50(15) -> 120*
     50(33) -> 73*
     50(101) -> 183*
     50(52) -> 170*
     50(8) -> 39*
     50(44) -> 69*
     50(124) -> 122*
     50(30) -> 31*
     50(3) -> 82*
     50(2) -> 33*
     50(162) -> 163*
     50(127) -> 128*
     50(130) -> 125*
     50(97) -> 98*
     50(200) -> 197*
     50(189) -> 190*
     50(60) -> 58*
     50(180) -> 181*
     40(2) -> 27*
     40(115) -> 112*
     40(199) -> 200*
     40(144) -> 140*
     40(138) -> 139*
     40(34) -> 35*
     40(137) -> 138*
     40(74) -> 75*
     40(165) -> 166*
     40(9) -> 19*
     40(156) -> 153*
     40(155) -> 156*
     40(148) -> 149*
     40(13) -> 178*
     40(54) -> 50*
     40(69) -> 70*
     40(152) -> 150*
     40(94) -> 159*
     40(63) -> 61*
     40(5) -> 49*
     40(78) -> 79*
     40(8) -> 22*
     40(101) -> 102*
     10(190) -> 186*
     10(52) -> 53*
     10(16) -> 17*
     10(44) -> 45*
     10(4) -> 5*
     10(141) -> 142*
     10(2) -> 126*
     10(17) -> 12*
     10(103) -> 104*
     10(133) -> 134*
     10(117) -> 118*
     10(15) -> 110*
     10(102) -> 103*
     10(192) -> 191*
     10(101) -> 113*
     10(25) -> 21*
     10(111) -> 109*
     10(121) -> 119*
     10(40) -> 41*
     10(3) -> 173*
     10(28) -> 29*
     10(29) -> 56*
     10(36) -> 37*
     10(92) -> 90*
     10(194) -> 195*
     10(79) -> 80*
     10(95) -> 93*
     10(8) -> 9*
     10(173) -> 174*
     10(85) -> 81*
     10(166) -> 167*
     10(183) -> 184*
     10(91) -> 94*
     10(78) -> 97*
     10(170) -> 171*
     10(126) -> 146*
     10(151) -> 152*
     10(106) -> 107*
     20(196) -> 193*
     20(149) -> 145*
     20(171) -> 169*
     20(104) -> 100*
     20(94) -> 95*
     20(33) -> 165*
     20(178) -> 179*
     20(53) -> 54*
     20(204) -> 201*
     20(39) -> 65*
     20(84) -> 85*
     20(170) -> 192*
     20(57) -> 55*
     20(13) -> 78*
     20(163) -> 160*
     20(27) -> 141*
     20(14) -> 15*
     20(181) -> 177*
     20(99) -> 96*
     20(9) -> 154*
     20(108) -> 105*
     20(11) -> 7*
     20(203) -> 204*
     20(187) -> 198*
     20(91) -> 92*
     20(47) -> 43*
     20(185) -> 182*
     20(83) -> 84*
     20(80) -> 77*
     20(87) -> 88*
     20(98) -> 99*
     20(202) -> 203*
     20(88) -> 89*
     20(147) -> 148*
     20(110) -> 111*
     20(51) -> 91*
     20(113) -> 114*
     20(120) -> 121*
     20(175) -> 176*
     20(132) -> 133*
     20(2) -> 3*
     30(188) -> 189*
     30(176) -> 172*
     30(2) -> 8*
     30(28) -> 106*
     30(13) -> 101*
     30(126) -> 127*
     30(161) -> 162*
     30(39) -> 40*
     30(15) -> 16*
     30(62) -> 63*
     30(136) -> 137*
     30(27) -> 28*
     30(179) -> 180*
     30(198) -> 199*
     30(83) -> 117*
     30(59) -> 60*
     30(9) -> 87*
     30(143) -> 144*
     30(123) -> 124*
     30(24) -> 25*
     30(91) -> 151*
     30(33) -> 44*
     30(3) -> 4*
     30(73) -> 74*
     30(173) -> 194*
     30(35) -> 36*
     30(51) -> 52*
     51(233) -> 234*
     51(209) -> 210*
     51(223) -> 224*
     31(208) -> 209*
     31(226) -> 227*
     228 -> 35*
     191 -> 3,141
     210 -> 35*
     43 -> 33*
     131 -> 33*
     68 -> 33*
     164 -> 27,178
     160 -> 3*
     48 -> 3,141
     158 -> 27,178
     64 -> 33*
     182 -> 3*
     234 -> 224*
     7 -> 3*
     100 -> 3,141,179
     140 -> 3,141
     77 -> 3*
     169 -> 3,141
     112 -> 3*
     12 -> 3*
     93 -> 3,141,179
     66 -> 223,205
     232 -> 206*
     105 -> 3,141,179
     109 -> 3*
     153 -> 3*
     116 -> 3*
     172 -> 3*
     150 -> 27*
     72 -> 33*
     186 -> 3,165
     21 -> 27,178
     177 -> 3,165,133
     201 -> 3,165
     58 -> 27,178,35
     86 -> 3*
     38 -> 33*
     125 -> 33,73
     26 -> 27,178
     135 -> 27,178
     197 -> 3,165
     1 -> 3*
     193 -> 3*
     90 -> 3,141,179
     55 -> 3,141
     50 -> 3,141
     18 -> 27,178
     122 -> 3,165
     145 -> 3*
     119 -> 3*
     129 -> 233,231
     96 -> 3,165
     81 -> 3*
     32 -> 27,178
     61 -> 27,178,35
     157 -> 33*
   problem:
    
   Qed