YES

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

Proof:
 String Reversal Processor:
  1(2(1(0(x1)))) -> 2(3(3(x1)))
  2(3(2(1(x1)))) -> 2(4(4(3(x1))))
  1(4(1(5(0(x1))))) -> 3(4(1(4(x1))))
  2(2(0(3(4(x1))))) -> 5(4(1(1(4(x1)))))
  2(5(1(5(5(x1))))) -> 2(5(3(4(x1))))
  1(4(4(3(3(4(0(x1))))))) -> 2(2(0(5(2(4(4(x1)))))))
  3(1(2(2(1(4(0(2(x1)))))))) -> 1(1(5(5(4(0(3(2(x1))))))))
  1(2(1(2(5(1(2(2(1(x1))))))))) -> 3(4(4(2(0(2(2(2(1(x1)))))))))
  3(4(5(3(4(3(4(1(5(4(x1)))))))))) -> 3(2(3(4(2(0(2(3(4(x1)))))))))
  2(2(3(3(4(3(5(2(1(4(1(x1))))))))))) -> 4(0(3(2(5(4(0(4(1(0(0(x1)))))))))))
  4(5(3(4(5(2(2(3(1(5(4(x1))))))))))) -> 4(2(2(4(5(3(5(1(1(0(4(x1)))))))))))
  2(3(0(3(3(5(5(1(0(4(1(5(x1)))))))))))) -> 2(1(4(0(1(0(2(3(5(0(3(x1)))))))))))
  3(1(2(2(4(5(2(3(3(1(1(4(0(x1))))))))))))) -> 1(2(2(4(3(2(4(4(3(4(1(0(1(x1)))))))))))))
  4(0(2(1(2(3(1(3(5(3(3(1(5(x1))))))))))))) -> 4(1(5(2(5(3(2(3(2(3(2(2(x1))))))))))))
  4(4(5(5(5(4(3(3(3(3(5(3(5(0(x1)))))))))))))) -> 0(4(2(5(5(0(4(3(2(3(0(1(0(x1)))))))))))))
  1(4(1(4(3(2(2(4(4(0(1(0(5(1(x1)))))))))))))) -> 4(5(1(4(0(5(3(0(4(0(0(5(4(3(x1))))))))))))))
  1(5(1(5(2(3(3(2(2(2(5(0(1(5(x1)))))))))))))) -> 1(5(5(3(3(3(2(2(3(4(1(0(4(5(x1))))))))))))))
  5(0(4(1(2(5(2(4(2(0(4(2(2(1(5(x1))))))))))))))) -> 5(1(4(1(3(3(4(3(5(0(3(4(1(0(x1))))))))))))))
  4(3(2(4(2(0(0(2(1(2(0(2(3(0(4(0(x1)))))))))))))))) ->
  3(2(1(2(3(0(4(5(5(4(3(3(1(2(3(x1)))))))))))))))
  2(4(1(5(1(3(2(0(4(0(3(3(3(1(5(1(x1)))))))))))))))) ->
  2(4(0(4(1(3(1(2(0(4(4(0(5(0(4(3(x1))))))))))))))))
  1(5(2(1(2(4(3(0(5(2(3(0(0(1(1(5(x1)))))))))))))))) ->
  0(1(4(1(1(3(5(5(0(1(0(1(2(3(1(5(x1))))))))))))))))
  4(4(0(2(2(5(3(3(3(1(1(2(4(2(1(2(3(x1))))))))))))))))) ->
  0(5(2(0(0(1(4(5(5(4(2(0(2(0(1(3(2(3(x1))))))))))))))))))
  4(2(0(4(2(2(3(1(2(2(3(4(0(3(0(1(4(x1))))))))))))))))) ->
  4(3(1(5(3(5(3(5(4(2(1(3(3(3(5(2(4(x1)))))))))))))))))
  1(0(0(0(1(5(2(2(2(1(5(3(1(1(2(0(0(3(x1)))))))))))))))))) ->
  3(4(5(5(3(4(3(0(5(2(2(1(0(4(0(1(5(3(x1))))))))))))))))))
  3(5(3(0(1(2(4(4(0(2(3(5(3(5(1(5(5(4(x1)))))))))))))))))) ->
  0(0(0(3(4(0(0(4(4(3(5(5(3(1(5(0(4(4(x1))))))))))))))))))
  1(5(1(2(4(4(4(1(0(1(2(0(1(5(2(5(5(4(x1)))))))))))))))))) ->
  0(4(1(1(5(4(4(1(4(3(5(2(0(3(2(3(4(x1)))))))))))))))))
  4(1(4(1(2(3(3(0(1(1(4(2(1(1(0(2(2(0(2(0(x1)))))))))))))))))))) ->
  0(4(4(4(4(4(2(1(4(4(3(5(3(1(2(0(3(3(2(2(x1))))))))))))))))))))
  3(1(3(2(3(2(5(3(5(5(5(5(0(4(3(0(1(1(4(3(x1)))))))))))))))))))) ->
  3(2(0(3(2(3(2(5(5(4(1(1(0(1(3(4(3(4(3(x1)))))))))))))))))))
  0(3(0(5(3(0(1(1(0(3(2(1(5(0(5(4(5(3(2(5(4(x1))))))))))))))))))))) ->
  0(5(4(2(0(1(4(2(4(1(2(5(3(5(0(4(4(1(3(4(4(x1)))))))))))))))))))))
  0(5(0(0(4(2(4(0(4(5(3(0(3(2(4(3(0(0(4(1(5(x1))))))))))))))))))))) ->
  3(2(2(3(1(0(5(1(0(3(5(1(1(4(0(2(2(3(0(5(x1))))))))))))))))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {327,308,291,274,260,244,227,211,195,180,166,152,140,
                   126,114,102,91,79,69,59,48,41,32,24,18,15,12,8,5,1}
    transitions:
     21(354) -> 355*
     31(351) -> 352*
     20(182) -> 183*
     20(301) -> 302*
     20(72) -> 73*
     20(88) -> 89*
     20(200) -> 201*
     20(179) -> 166*
     20(16) -> 42*
     20(78) -> 69*
     20(34) -> 35*
     20(343) -> 344*
     20(162) -> 163*
     20(276) -> 277*
     20(319) -> 320*
     20(85) -> 86*
     20(172) -> 173*
     20(22) -> 23*
     20(93) -> 94*
     20(35) -> 36*
     20(33) -> 34*
     20(7) -> 5*
     20(208) -> 209*
     20(111) -> 112*
     20(262) -> 263*
     20(316) -> 317*
     20(132) -> 133*
     20(23) -> 18*
     20(198) -> 199*
     20(66) -> 67*
     20(284) -> 285*
     20(17) -> 15*
     20(164) -> 165*
     20(3) -> 153*
     20(89) -> 90*
     20(234) -> 235*
     20(37) -> 38*
     20(233) -> 234*
     20(4) -> 1*
     20(43) -> 44*
     20(217) -> 218*
     20(25) -> 92*
     20(55) -> 56*
     20(323) -> 324*
     20(303) -> 304*
     20(19) -> 20*
     20(67) -> 68*
     20(95) -> 96*
     20(98) -> 99*
     20(105) -> 106*
     20(133) -> 134*
     20(306) -> 307*
     20(9) -> 212*
     20(329) -> 330*
     20(46) -> 47*
     20(330) -> 331*
     20(344) -> 345*
     20(2) -> 25*
     f60() -> 2*
     00(257) -> 258*
     00(160) -> 161*
     00(57) -> 58*
     00(254) -> 255*
     00(207) -> 208*
     00(33) -> 80*
     00(115) -> 116*
     00(259) -> 244*
     00(108) -> 109*
     00(326) -> 308*
     00(52) -> 53*
     00(210) -> 195*
     00(103) -> 104*
     00(116) -> 117*
     00(168) -> 169*
     00(231) -> 232*
     00(142) -> 143*
     00(75) -> 76*
     00(36) -> 37*
     00(26) -> 27*
     00(3) -> 70*
     00(2) -> 49*
     00(113) -> 102*
     00(177) -> 178*
     00(171) -> 172*
     00(49) -> 50*
     00(127) -> 328*
     00(186) -> 187*
     00(6) -> 167*
     00(206) -> 207*
     00(42) -> 43*
     00(199) -> 200*
     00(194) -> 180*
     00(9) -> 60*
     00(295) -> 296*
     00(73) -> 74*
     00(258) -> 259*
     00(322) -> 323*
     00(19) -> 245*
     00(253) -> 254*
     00(118) -> 119*
     00(21) -> 22*
     00(273) -> 260*
     00(128) -> 129*
     00(312) -> 313*
     00(197) -> 198*
     00(305) -> 306*
     00(229) -> 230*
     00(290) -> 274*
     00(331) -> 332*
     00(261) -> 262*
     00(275) -> 276*
     00(236) -> 237*
     00(121) -> 122*
     00(337) -> 338*
     00(184) -> 185*
     00(340) -> 341*
     50(221) -> 222*
     50(2) -> 127*
     50(245) -> 246*
     50(187) -> 188*
     50(325) -> 326*
     50(188) -> 189*
     50(315) -> 316*
     50(313) -> 314*
     50(212) -> 213*
     50(300) -> 301*
     50(64) -> 65*
     50(109) -> 110*
     50(138) -> 139*
     50(110) -> 111*
     50(219) -> 220*
     50(158) -> 159*
     50(137) -> 138*
     50(62) -> 63*
     50(70) -> 71*
     50(240) -> 241*
     50(3) -> 228*
     50(16) -> 17*
     50(14) -> 12*
     50(249) -> 250*
     50(235) -> 236*
     50(209) -> 210*
     50(248) -> 249*
     50(167) -> 168*
     50(20) -> 21*
     50(339) -> 340*
     50(6) -> 115*
     50(28) -> 29*
     50(54) -> 55*
     50(157) -> 158*
     50(241) -> 242*
     50(202) -> 203*
     50(269) -> 270*
     50(124) -> 125*
     50(263) -> 264*
     50(335) -> 336*
     50(203) -> 204*
     50(151) -> 140*
     50(279) -> 280*
     50(223) -> 224*
     50(99) -> 100*
     50(120) -> 121*
     50(97) -> 98*
     50(143) -> 144*
     50(299) -> 300*
     50(29) -> 30*
     30(237) -> 238*
     30(153) -> 196*
     30(214) -> 215*
     30(141) -> 142*
     30(256) -> 257*
     30(302) -> 303*
     30(2) -> 3*
     30(93) -> 275*
     30(336) -> 337*
     30(119) -> 120*
     30(71) -> 72*
     30(181) -> 182*
     30(135) -> 136*
     30(328) -> 329*
     30(215) -> 216*
     30(189) -> 190*
     30(94) -> 95*
     30(146) -> 147*
     30(161) -> 162*
     30(304) -> 305*
     30(96) -> 97*
     30(25) -> 26*
     30(9) -> 16*
     30(345) -> 327*
     30(154) -> 155*
     30(264) -> 265*
     30(104) -> 105*
     30(40) -> 32*
     30(243) -> 227*
     30(47) -> 41*
     30(3) -> 4*
     30(82) -> 83*
     30(222) -> 223*
     30(56) -> 57*
     30(131) -> 132*
     30(92) -> 93*
     30(314) -> 315*
     30(155) -> 156*
     30(342) -> 343*
     30(213) -> 214*
     30(247) -> 248*
     30(134) -> 135*
     30(307) -> 291*
     30(220) -> 221*
     30(6) -> 292*
     30(11) -> 8*
     30(45) -> 46*
     30(174) -> 175*
     30(136) -> 137*
     30(293) -> 294*
     30(278) -> 279*
     30(86) -> 87*
     30(19) -> 309*
     30(147) -> 148*
     30(144) -> 145*
     30(250) -> 251*
     30(63) -> 64*
     30(42) -> 261*
     30(165) -> 152*
     30(239) -> 240*
     30(225) -> 226*
     30(280) -> 281*
     30(106) -> 107*
     10(294) -> 295*
     10(153) -> 154*
     10(246) -> 247*
     10(30) -> 31*
     10(196) -> 197*
     10(341) -> 342*
     10(127) -> 181*
     10(10) -> 13*
     10(271) -> 272*
     10(49) -> 103*
     10(216) -> 217*
     10(90) -> 79*
     10(148) -> 149*
     10(139) -> 126*
     10(163) -> 164*
     10(183) -> 184*
     10(277) -> 278*
     10(9) -> 10*
     10(296) -> 297*
     10(321) -> 322*
     10(334) -> 335*
     10(270) -> 271*
     10(333) -> 334*
     10(191) -> 192*
     10(61) -> 62*
     10(60) -> 61*
     10(123) -> 124*
     10(190) -> 191*
     10(185) -> 186*
     10(317) -> 318*
     10(150) -> 151*
     10(232) -> 233*
     10(100) -> 101*
     10(224) -> 225*
     10(283) -> 284*
     10(80) -> 81*
     10(77) -> 78*
     10(173) -> 174*
     10(309) -> 310*
     10(50) -> 51*
     10(266) -> 267*
     10(297) -> 298*
     10(193) -> 194*
     10(129) -> 130*
     10(205) -> 206*
     10(74) -> 75*
     10(338) -> 339*
     10(175) -> 176*
     10(31) -> 24*
     10(2) -> 33*
     10(228) -> 229*
     40(218) -> 219*
     40(255) -> 256*
     40(38) -> 39*
     40(103) -> 141*
     40(226) -> 211*
     40(156) -> 157*
     40(282) -> 283*
     40(192) -> 193*
     40(176) -> 177*
     40(242) -> 243*
     40(178) -> 179*
     40(298) -> 299*
     40(2) -> 9*
     40(122) -> 123*
     40(265) -> 266*
     40(117) -> 118*
     40(318) -> 319*
     40(10) -> 11*
     40(107) -> 108*
     40(81) -> 82*
     40(13) -> 14*
     40(281) -> 282*
     40(76) -> 77*
     40(149) -> 150*
     40(39) -> 40*
     40(101) -> 91*
     40(320) -> 321*
     40(230) -> 231*
     40(204) -> 205*
     40(84) -> 85*
     40(145) -> 146*
     40(287) -> 288*
     40(6) -> 7*
     40(27) -> 28*
     40(201) -> 202*
     40(83) -> 84*
     40(289) -> 290*
     40(9) -> 19*
     40(332) -> 333*
     40(68) -> 59*
     40(324) -> 325*
     40(311) -> 312*
     40(272) -> 273*
     40(170) -> 171*
     40(238) -> 239*
     40(288) -> 289*
     40(159) -> 160*
     40(285) -> 286*
     40(286) -> 287*
     40(87) -> 88*
     40(268) -> 269*
     40(58) -> 48*
     40(267) -> 268*
     40(125) -> 114*
     40(44) -> 45*
     40(251) -> 252*
     40(3) -> 6*
     40(112) -> 113*
     40(252) -> 253*
     40(127) -> 128*
     40(310) -> 311*
     40(292) -> 293*
     40(169) -> 170*
     40(53) -> 54*
     40(65) -> 66*
     40(130) -> 131*
     40(51) -> 52*
     41(352) -> 353*
     41(353) -> 354*
     355 -> 212*
     291 -> 3*
     327 -> 49,328
     163 -> 351*
     166 -> 25,212
     24 -> 3*
     195 -> 9,19
     48 -> 34,25,92
     126 -> 33,181
     69 -> 25,153
     140 -> 127*
     12 -> 25,92
     114 -> 33,10
     244 -> 3*
     180 -> 33,181
     308 -> 49,70
     91 -> 9*
     79 -> 3*
     8 -> 33,10
     1 -> 33*
     59 -> 9,128
     5 -> 25,153
     41 -> 3,16
     227 -> 33,103,51
     18 -> 33,10
     260 -> 33,181
     211 -> 9*
     15 -> 25*
     274 -> 9,11
     152 -> 9,6
     32 -> 33*
     102 -> 9,19
   problem:
    
   Qed