YES

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

Proof:
 String Reversal Processor:
  0(0(3(x1))) -> 3(3(2(3(1(3(1(3(3(3(x1))))))))))
  4(1(0(0(x1)))) -> 4(1(1(5(2(5(5(3(2(5(x1))))))))))
  1(0(4(0(x1)))) -> 1(3(2(2(3(2(2(2(3(5(x1))))))))))
  3(0(0(4(x1)))) -> 3(2(5(5(3(2(4(3(3(5(x1))))))))))
  0(4(2(4(x1)))) -> 4(3(0(3(1(2(0(5(1(1(x1))))))))))
  4(0(0(5(x1)))) -> 4(4(4(5(0(1(1(3(2(5(x1))))))))))
  0(1(0(4(0(x1))))) -> 2(3(5(5(1(4(5(3(2(5(x1))))))))))
  0(1(0(0(1(x1))))) -> 2(3(3(2(2(5(4(4(0(1(x1))))))))))
  1(0(0(4(2(x1))))) -> 1(4(3(3(3(3(3(2(0(2(x1))))))))))
  5(0(4(0(3(x1))))) -> 2(2(5(0(4(3(1(1(4(3(x1))))))))))
  1(2(5(2(3(x1))))) -> 1(1(3(4(1(1(3(2(2(3(x1))))))))))
  1(4(0(0(5(x1))))) -> 3(0(0(3(2(2(1(1(3(1(x1))))))))))
  0(0(0(5(0(0(x1)))))) -> 4(4(0(4(4(4(5(4(3(0(x1))))))))))
  3(4(0(0(0(1(x1)))))) -> 3(3(2(3(4(2(2(5(5(1(x1))))))))))
  2(3(5(0(3(1(x1)))))) -> 2(2(5(1(3(3(0(3(2(1(x1))))))))))
  0(5(4(2(3(1(x1)))))) -> 0(2(5(1(3(3(0(1(1(1(x1))))))))))
  1(2(0(5(4(1(x1)))))) -> 1(5(5(3(1(2(1(1(2(1(x1))))))))))
  3(5(2(4(0(2(x1)))))) -> 1(4(5(5(1(3(2(4(1(2(x1))))))))))
  1(0(0(1(0(4(x1)))))) -> 1(5(5(1(4(3(1(4(2(4(x1))))))))))
  4(0(4(4(1(4(x1)))))) -> 4(4(2(0(5(1(3(3(1(4(x1))))))))))
  0(4(0(0(0(5(x1)))))) -> 4(3(0(1(1(4(3(5(0(5(x1))))))))))
  5(0(0(2(4(5(x1)))))) -> 4(1(2(5(0(1(1(5(4(5(x1))))))))))
  3(4(2(3(0(0(0(x1))))))) -> 3(2(1(0(4(5(5(2(2(5(x1))))))))))
  0(5(0(4(2(0(0(x1))))))) -> 4(3(4(4(0(1(4(2(2(5(x1))))))))))
  3(4(0(2(5(1(0(x1))))))) -> 3(4(3(0(2(3(1(1(1(0(x1))))))))))
  5(0(0(3(3(4(0(x1))))))) -> 5(0(0(3(3(3(1(4(5(2(x1))))))))))
  3(0(0(0(0(0(1(x1))))))) -> 1(0(1(5(2(1(1(5(2(5(x1))))))))))
  1(4(5(0(0(0(1(x1))))))) -> 1(4(3(4(2(0(1(3(2(1(x1))))))))))
  1(0(2(1(2(3(1(x1))))))) -> 1(3(5(1(1(3(1(2(4(1(x1))))))))))
  4(4(1(0(2(0(2(x1))))))) -> 3(1(0(3(4(5(3(2(0(2(x1))))))))))
  0(5(0(3(5(0(2(x1))))))) -> 0(4(4(1(1(2(1(5(5(2(x1))))))))))
  1(0(5(2(4(1(2(x1))))))) -> 3(5(4(5(5(3(2(0(4(2(x1))))))))))
  3(5(2(3(3(4(2(x1))))))) -> 5(4(4(2(2(3(2(4(4(2(x1))))))))))
  2(3(4(0(3(5(2(x1))))))) -> 0(3(0(3(3(0(3(5(2(2(x1))))))))))
  4(0(3(5(0(3(3(x1))))))) -> 4(1(3(5(5(0(1(4(3(3(x1))))))))))
  2(4(5(4(1(4(3(x1))))))) -> 2(1(1(3(1(1(3(3(5(3(x1))))))))))
  2(1(4(2(3(4(3(x1))))))) -> 0(3(1(3(5(1(1(1(5(3(x1))))))))))
  1(2(0(4(5(2(4(x1))))))) -> 1(5(4(1(5(5(1(1(1(1(x1))))))))))
  5(0(1(0(2(3(4(x1))))))) -> 4(3(0(1(0(3(3(1(3(4(x1))))))))))
  3(4(3(2(3(3(4(x1))))))) -> 4(4(5(3(3(3(0(3(0(4(x1))))))))))
  0(0(5(0(1(0(5(x1))))))) -> 0(0(3(4(3(1(1(0(0(5(x1))))))))))
  1(0(4(1(0(4(5(x1))))))) -> 1(4(2(1(5(3(5(4(1(4(x1))))))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {353,345,336,327,320,312,303,295,286,278,269,261,255,
                   246,239,231,222,213,206,198,189,180,171,161,152,144,
                   136,127,118,108,99,90,81,71,62,56,49,39,31,22,12,1}
    transitions:
     31(370) -> 371*
     31(446) -> 447*
     31(442) -> 443*
     31(440) -> 441*
     31(395) -> 396*
     31(396) -> 397*
     31(369) -> 370*
     31(394) -> 395*
     31(414) -> 415*
     31(407) -> 408*
     31(361) -> 362*
     31(438) -> 439*
     31(447) -> 448*
     31(365) -> 366*
     31(400) -> 401*
     31(405) -> 406*
     31(402) -> 403*
     31(413) -> 414*
     31(406) -> 407*
     31(439) -> 440*
     31(363) -> 364*
     31(444) -> 445*
     31(411) -> 412*
     31(409) -> 410*
     31(451) -> 452*
     31(367) -> 368*
     31(362) -> 363*
     31(398) -> 399*
     31(403) -> 404*
     11(397) -> 398*
     11(441) -> 442*
     11(366) -> 367*
     11(443) -> 444*
     11(410) -> 411*
     11(408) -> 409*
     11(399) -> 400*
     11(364) -> 365*
     30(69) -> 70*
     30(182) -> 183*
     30(47) -> 48*
     30(339) -> 340*
     30(68) -> 69*
     30(148) -> 149*
     30(13) -> 23*
     30(77) -> 78*
     30(109) -> 110*
     30(219) -> 220*
     30(253) -> 254*
     30(187) -> 188*
     30(78) -> 79*
     30(34) -> 35*
     30(162) -> 328*
     30(243) -> 244*
     30(60) -> 61*
     30(226) -> 227*
     30(126) -> 118*
     30(40) -> 100*
     30(75) -> 76*
     30(293) -> 294*
     30(172) -> 173*
     30(205) -> 198*
     30(45) -> 46*
     30(340) -> 341*
     30(165) -> 166*
     30(290) -> 291*
     30(280) -> 281*
     30(130) -> 131*
     30(29) -> 30*
     30(305) -> 306*
     30(139) -> 140*
     30(173) -> 174*
     30(221) -> 213*
     30(316) -> 317*
     30(125) -> 126*
     30(216) -> 217*
     30(23) -> 32*
     30(304) -> 305*
     30(211) -> 212*
     30(14) -> 15*
     30(6) -> 7*
     30(84) -> 85*
     30(11) -> 1*
     30(249) -> 250*
     30(3) -> 4*
     30(272) -> 273*
     30(96) -> 97*
     30(38) -> 31*
     30(74) -> 75*
     30(341) -> 342*
     30(138) -> 139*
     30(76) -> 77*
     30(104) -> 105*
     30(155) -> 156*
     30(26) -> 27*
     30(334) -> 335*
     30(8) -> 9*
     30(4) -> 5*
     30(92) -> 93*
     30(107) -> 99*
     30(131) -> 132*
     30(291) -> 292*
     30(355) -> 356*
     30(308) -> 309*
     30(348) -> 349*
     30(350) -> 351*
     30(225) -> 226*
     30(260) -> 255*
     30(277) -> 269*
     30(300) -> 301*
     30(10) -> 11*
     30(128) -> 129*
     30(257) -> 258*
     30(288) -> 289*
     30(227) -> 228*
     30(123) -> 124*
     30(329) -> 330*
     30(318) -> 319*
     30(330) -> 331*
     30(337) -> 338*
     30(2) -> 3*
     f60() -> 2*
     00(338) -> 339*
     00(86) -> 87*
     00(51) -> 52*
     00(289) -> 290*
     00(106) -> 107*
     00(294) -> 286*
     00(13) -> 181*
     00(115) -> 116*
     00(319) -> 312*
     00(208) -> 209*
     00(292) -> 293*
     00(129) -> 130*
     00(143) -> 136*
     00(228) -> 229*
     00(2) -> 109*
     00(218) -> 219*
     00(162) -> 337*
     00(240) -> 241*
     00(186) -> 187*
     00(42) -> 43*
     00(237) -> 238*
     00(181) -> 346*
     00(46) -> 47*
     00(351) -> 352*
     00(202) -> 203*
     00(258) -> 259*
     00(40) -> 63*
     00(270) -> 271*
     00(268) -> 261*
     00(193) -> 194*
     00(352) -> 345*
     00(72) -> 73*
     00(137) -> 138*
     00(297) -> 298*
     00(229) -> 230*
     00(105) -> 106*
     00(331) -> 332*
     00(333) -> 334*
     00(176) -> 177*
     50(200) -> 201*
     50(168) -> 169*
     50(252) -> 253*
     50(2) -> 13*
     50(322) -> 323*
     50(75) -> 256*
     50(325) -> 326*
     50(111) -> 112*
     50(315) -> 316*
     50(199) -> 200*
     50(18) -> 19*
     50(175) -> 176*
     50(150) -> 151*
     50(158) -> 159*
     50(190) -> 191*
     50(274) -> 275*
     50(65) -> 66*
     50(354) -> 355*
     50(133) -> 134*
     50(3) -> 304*
     50(321) -> 322*
     50(35) -> 36*
     50(298) -> 299*
     50(16) -> 17*
     50(40) -> 119*
     50(14) -> 232*
     50(119) -> 120*
     50(273) -> 274*
     50(52) -> 53*
     50(72) -> 223*
     50(194) -> 195*
     50(149) -> 150*
     50(235) -> 236*
     50(15) -> 16*
     50(276) -> 277*
     50(181) -> 182*
     50(285) -> 278*
     50(41) -> 42*
     50(356) -> 357*
     50(157) -> 158*
     50(36) -> 37*
     50(169) -> 170*
     50(59) -> 60*
     50(230) -> 222*
     50(141) -> 142*
     50(342) -> 343*
     50(58) -> 59*
     50(223) -> 262*
     50(287) -> 288*
     50(299) -> 300*
     50(87) -> 88*
     20(89) -> 81*
     20(66) -> 67*
     20(24) -> 25*
     20(2) -> 72*
     20(17) -> 18*
     20(67) -> 68*
     20(103) -> 104*
     20(13) -> 14*
     20(135) -> 127*
     20(27) -> 28*
     20(102) -> 103*
     20(72) -> 287*
     20(61) -> 56*
     20(162) -> 163*
     20(146) -> 147*
     20(204) -> 205*
     20(311) -> 303*
     20(25) -> 26*
     20(9) -> 10*
     20(154) -> 155*
     20(234) -> 235*
     20(121) -> 122*
     20(40) -> 128*
     20(271) -> 272*
     20(3) -> 91*
     20(28) -> 29*
     20(195) -> 196*
     20(282) -> 283*
     20(263) -> 264*
     20(88) -> 89*
     20(120) -> 121*
     20(43) -> 44*
     20(247) -> 248*
     20(134) -> 135*
     20(358) -> 359*
     20(217) -> 218*
     20(281) -> 282*
     20(142) -> 143*
     20(37) -> 38*
     20(14) -> 199*
     20(91) -> 92*
     20(279) -> 280*
     20(70) -> 62*
     20(73) -> 74*
     20(23) -> 24*
     20(177) -> 178*
     20(241) -> 242*
     20(124) -> 125*
     20(33) -> 34*
     40(343) -> 344*
     40(153) -> 154*
     40(40) -> 247*
     40(122) -> 123*
     40(335) -> 327*
     40(3) -> 82*
     40(349) -> 350*
     40(166) -> 167*
     40(256) -> 257*
     40(178) -> 179*
     40(53) -> 54*
     40(344) -> 336*
     40(197) -> 189*
     40(244) -> 245*
     40(116) -> 117*
     40(79) -> 80*
     40(63) -> 64*
     40(13) -> 190*
     40(64) -> 65*
     40(54) -> 55*
     40(359) -> 360*
     40(212) -> 206*
     40(163) -> 164*
     40(183) -> 184*
     40(302) -> 295*
     40(324) -> 325*
     40(172) -> 354*
     40(210) -> 211*
     40(199) -> 207*
     40(270) -> 279*
     40(55) -> 49*
     40(114) -> 115*
     40(223) -> 224*
     40(267) -> 268*
     40(242) -> 243*
     40(85) -> 86*
     40(220) -> 221*
     40(283) -> 284*
     40(112) -> 113*
     40(4) -> 296*
     40(209) -> 210*
     40(266) -> 267*
     40(32) -> 33*
     40(16) -> 57*
     40(48) -> 39*
     40(110) -> 111*
     40(201) -> 202*
     40(113) -> 114*
     40(179) -> 171*
     40(275) -> 276*
     40(188) -> 180*
     40(95) -> 96*
     40(159) -> 160*
     40(117) -> 108*
     40(21) -> 12*
     40(2) -> 162*
     40(284) -> 285*
     40(72) -> 270*
     10(132) -> 133*
     10(346) -> 347*
     10(264) -> 265*
     10(232) -> 233*
     10(100) -> 101*
     10(306) -> 307*
     10(156) -> 157*
     10(20) -> 21*
     10(192) -> 193*
     10(164) -> 165*
     10(147) -> 148*
     10(185) -> 186*
     10(360) -> 353*
     10(57) -> 58*
     10(2) -> 40*
     10(40) -> 41*
     10(357) -> 358*
     10(259) -> 260*
     10(160) -> 152*
     10(265) -> 266*
     10(250) -> 251*
     10(191) -> 192*
     10(5) -> 6*
     10(309) -> 310*
     10(97) -> 98*
     10(196) -> 197*
     10(214) -> 215*
     10(233) -> 234*
     10(101) -> 102*
     10(15) -> 50*
     10(72) -> 153*
     10(236) -> 237*
     10(109) -> 214*
     10(262) -> 263*
     10(145) -> 146*
     10(94) -> 95*
     10(248) -> 249*
     10(83) -> 84*
     10(151) -> 144*
     10(314) -> 315*
     10(82) -> 83*
     10(332) -> 333*
     10(128) -> 145*
     10(304) -> 313*
     10(170) -> 161*
     10(296) -> 297*
     10(238) -> 231*
     10(326) -> 320*
     10(347) -> 348*
     10(140) -> 141*
     10(328) -> 329*
     10(215) -> 216*
     10(167) -> 168*
     10(80) -> 71*
     10(50) -> 51*
     10(323) -> 324*
     10(93) -> 94*
     10(313) -> 314*
     10(184) -> 185*
     10(307) -> 308*
     10(207) -> 208*
     10(98) -> 90*
     10(224) -> 225*
     10(129) -> 240*
     10(44) -> 45*
     10(7) -> 8*
     10(251) -> 252*
     10(174) -> 175*
     10(41) -> 137*
     10(317) -> 318*
     10(30) -> 22*
     10(301) -> 302*
     10(162) -> 172*
     10(310) -> 311*
     10(245) -> 239*
     10(19) -> 20*
     10(203) -> 204*
     10(137) -> 321*
     10(254) -> 246*
     21(368) -> 369*
     21(412) -> 413*
     21(401) -> 402*
     21(445) -> 446*
     327 -> 13*
     415 -> 107*
     312 -> 72,128
     56 -> 109,63
     144 -> 40,153
     452 -> 439*
     353 -> 40,214
     320 -> 40,153
     206 -> 109,181
     198 -> 3,328
     231 -> 3,110
     278 -> 3,23
     189 -> 13*
     295 -> 162*
     104 -> 405*
     12 -> 162,247
     318 -> 451*
     118 -> 3,328
     180 -> 109,337
     350 -> 361*
     336 -> 3,328
     22 -> 40,214
     345 -> 109,346
     404 -> 230*
     171 -> 162*
     161 -> 40,214
     269 -> 40,214
     261 -> 109,181
     222 -> 13*
     127 -> 72,91,24
     71 -> 40,214
     1 -> 109*
     246 -> 40,214
     49 -> 162*
     31 -> 3,110
     62 -> 109,63
     293 -> 438*
     99 -> 40,172
     90 -> 40,153
     255 -> 162*
     108 -> 109*
     213 -> 3,328
     39 -> 109,337,271
     227 -> 394*
     136 -> 109,181
     371 -> 345*
     303 -> 72,163
     448 -> 73*
     286 -> 72,91
     152 -> 3,23
     81 -> 13*
     239 -> 40,172
   problem:
    
   Qed