YES

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

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