YES

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

Proof:
 String Reversal Processor:
  0(3(3(x1))) -> 0(1(2(1(0(0(1(2(0(3(x1))))))))))
  5(1(5(x1))) -> 2(0(1(4(3(0(0(1(4(4(x1))))))))))
  0(0(5(0(x1)))) -> 1(4(3(2(2(5(3(0(3(2(x1))))))))))
  0(0(1(3(x1)))) -> 0(0(0(0(0(5(3(5(5(3(x1))))))))))
  5(5(2(2(0(x1))))) -> 4(5(3(1(4(0(3(4(5(2(x1))))))))))
  4(2(3(3(2(x1))))) -> 4(5(5(0(1(0(5(2(1(2(x1))))))))))
  0(0(3(0(4(x1))))) -> 0(2(1(2(1(4(2(5(3(4(x1))))))))))
  2(5(2(5(4(x1))))) -> 2(0(5(2(0(1(1(1(2(5(x1))))))))))
  0(5(2(2(0(0(x1)))))) -> 0(5(2(1(0(4(3(5(2(0(x1))))))))))
  2(5(2(2(3(1(x1)))))) -> 4(4(3(2(5(4(2(5(3(1(x1))))))))))
  1(3(5(2(5(1(x1)))))) -> 2(3(5(2(0(1(1(4(5(2(x1))))))))))
  5(2(5(4(2(2(x1)))))) -> 5(2(5(5(4(5(3(4(2(2(x1))))))))))
  0(0(2(0(4(2(x1)))))) -> 1(2(1(1(4(5(2(0(0(2(x1))))))))))
  4(5(2(5(4(2(x1)))))) -> 4(5(3(4(4(0(0(1(4(2(x1))))))))))
  2(3(1(5(1(3(x1)))))) -> 5(1(4(2(1(5(3(5(1(1(x1))))))))))
  0(0(3(0(2(3(x1)))))) -> 1(4(0(2(0(4(3(1(4(3(x1))))))))))
  2(1(3(2(5(4(x1)))))) -> 2(0(2(4(2(1(0(4(4(4(x1))))))))))
  2(3(5(2(5(4(x1)))))) -> 2(0(4(4(2(3(4(3(1(4(x1))))))))))
  2(5(2(5(0(5(x1)))))) -> 0(0(5(4(3(4(4(2(4(5(x1))))))))))
  5(2(2(5(2(5(x1)))))) -> 2(1(2(5(0(1(5(5(4(4(x1))))))))))
  5(2(4(2(5(0(0(x1))))))) -> 3(3(1(2(1(2(4(0(2(0(x1))))))))))
  2(2(3(0(2(5(0(x1))))))) -> 2(2(2(2(5(3(4(2(1(2(x1))))))))))
  0(3(4(0(2(5(0(x1))))))) -> 4(5(4(3(3(4(2(1(1(1(x1))))))))))
  2(3(1(2(3(0(1(x1))))))) -> 5(1(5(3(5(5(1(1(1(1(x1))))))))))
  0(2(5(4(1(0(2(x1))))))) -> 4(4(3(3(0(0(0(1(2(2(x1))))))))))
  1(1(0(5(5(1(2(x1))))))) -> 0(4(3(3(4(4(3(2(1(0(x1))))))))))
  2(5(0(3(1(4(2(x1))))))) -> 0(4(4(4(3(5(1(4(4(2(x1))))))))))
  0(0(1(3(4(4(2(x1))))))) -> 1(0(4(4(5(3(1(2(4(2(x1))))))))))
  0(0(3(2(4(1(3(x1))))))) -> 1(4(2(4(3(3(4(3(0(1(x1))))))))))
  4(1(2(4(1(2(3(x1))))))) -> 5(5(1(1(0(3(2(4(5(3(x1))))))))))
  2(4(2(2(2(2(3(x1))))))) -> 0(1(2(4(1(1(0(3(1(3(x1))))))))))
  0(3(0(0(5(2(3(x1))))))) -> 4(5(2(0(2(2(1(4(3(4(x1))))))))))
  2(5(2(2(5(3(3(x1))))))) -> 2(4(5(5(1(5(0(1(0(3(x1))))))))))
  0(5(1(5(1(2(4(x1))))))) -> 0(5(4(3(2(0(4(5(4(4(x1))))))))))
  0(5(1(3(0(0(5(x1))))))) -> 0(1(4(4(5(0(4(0(0(4(x1))))))))))
  0(5(4(4(0(0(5(x1))))))) -> 0(5(0(4(4(3(1(1(2(4(x1))))))))))
  1(0(5(0(3(0(5(x1))))))) -> 1(4(0(3(5(4(3(3(1(5(x1))))))))))
  0(5(0(2(3(0(5(x1))))))) -> 0(1(5(1(0(0(4(2(1(5(x1))))))))))
  0(2(2(3(3(0(5(x1))))))) -> 0(1(5(3(5(2(2(2(2(4(x1))))))))))
  2(5(0(2(4(1(5(x1))))))) -> 2(4(0(4(4(0(1(5(0(4(x1))))))))))
  5(5(1(2(3(3(5(x1))))))) -> 3(2(0(2(1(2(0(5(3(1(x1))))))))))
  3(0(2(3(0(5(5(x1))))))) -> 3(0(1(4(5(2(0(4(4(0(x1))))))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {354,347,339,331,323,314,305,296,289,281,273,264,256,
                   247,239,231,222,214,207,199,192,184,176,167,158,150,
                   141,132,123,114,105,98,88,78,68,59,50,41,32,22,12,
                   1}
    transitions:
     40(225) -> 226*
     40(309) -> 310*
     40(324) -> 325*
     40(317) -> 318*
     40(243) -> 244*
     40(221) -> 214*
     40(252) -> 253*
     40(2) -> 13*
     40(359) -> 360*
     40(204) -> 205*
     40(127) -> 128*
     40(23) -> 124*
     40(33) -> 257*
     40(109) -> 110*
     40(45) -> 46*
     40(79) -> 355*
     40(131) -> 123*
     40(144) -> 145*
     40(18) -> 19*
     40(185) -> 186*
     40(254) -> 255*
     40(138) -> 139*
     40(345) -> 346*
     40(163) -> 164*
     40(310) -> 311*
     40(302) -> 303*
     40(229) -> 230*
     40(62) -> 63*
     40(206) -> 199*
     40(30) -> 31*
     40(3) -> 142*
     40(321) -> 322*
     40(298) -> 299*
     40(14) -> 151*
     40(154) -> 155*
     40(52) -> 193*
     40(249) -> 250*
     40(49) -> 41*
     40(235) -> 236*
     40(92) -> 93*
     40(220) -> 221*
     40(148) -> 149*
     40(280) -> 273*
     40(118) -> 119*
     40(13) -> 14*
     40(343) -> 344*
     40(236) -> 237*
     40(128) -> 129*
     40(355) -> 356*
     40(226) -> 227*
     40(96) -> 97*
     40(60) -> 274*
     40(169) -> 170*
     40(269) -> 270*
     40(124) -> 232*
     40(69) -> 168*
     40(237) -> 238*
     40(172) -> 173*
     40(177) -> 290*
     40(164) -> 165*
     40(342) -> 343*
     40(58) -> 50*
     40(293) -> 294*
     40(82) -> 83*
     40(97) -> 88*
     40(244) -> 245*
     40(287) -> 288*
     40(160) -> 161*
     40(201) -> 202*
     40(106) -> 107*
     40(42) -> 43*
     40(301) -> 302*
     40(170) -> 171*
     11(381) -> 382*
     11(387) -> 388*
     11(392) -> 393*
     11(376) -> 377*
     01(393) -> 394*
     01(389) -> 390*
     01(382) -> 383*
     01(377) -> 378*
     01(378) -> 379*
     01(388) -> 389*
     00(297) -> 298*
     00(326) -> 327*
     00(115) -> 116*
     00(13) -> 297*
     00(179) -> 180*
     00(145) -> 146*
     00(266) -> 267*
     00(16) -> 17*
     00(44) -> 45*
     00(338) -> 331*
     00(174) -> 175*
     00(73) -> 74*
     00(126) -> 127*
     00(40) -> 32*
     00(39) -> 40*
     00(20) -> 21*
     00(259) -> 260*
     00(165) -> 166*
     00(15) -> 16*
     00(290) -> 291*
     00(361) -> 362*
     00(7) -> 8*
     00(295) -> 289*
     00(125) -> 126*
     00(216) -> 217*
     00(23) -> 115*
     00(304) -> 296*
     00(311) -> 312*
     00(320) -> 321*
     00(238) -> 231*
     00(53) -> 54*
     00(100) -> 101*
     00(245) -> 246*
     00(83) -> 84*
     00(87) -> 78*
     00(6) -> 7*
     00(147) -> 148*
     00(325) -> 326*
     00(11) -> 1*
     00(282) -> 283*
     00(3) -> 4*
     00(272) -> 264*
     00(89) -> 248*
     00(38) -> 39*
     00(341) -> 342*
     00(313) -> 305*
     00(76) -> 77*
     00(151) -> 152*
     00(37) -> 38*
     00(217) -> 218*
     00(24) -> 25*
     00(55) -> 56*
     00(215) -> 216*
     00(36) -> 37*
     00(80) -> 185*
     00(67) -> 59*
     00(277) -> 278*
     00(356) -> 357*
     00(175) -> 167*
     00(230) -> 222*
     00(351) -> 352*
     00(299) -> 300*
     00(91) -> 348*
     00(156) -> 157*
     00(330) -> 323*
     00(344) -> 345*
     00(2) -> 79*
     30(171) -> 172*
     30(335) -> 336*
     30(81) -> 82*
     30(248) -> 249*
     30(43) -> 44*
     30(29) -> 30*
     30(241) -> 242*
     30(219) -> 220*
     30(107) -> 108*
     30(250) -> 251*
     30(17) -> 18*
     30(13) -> 60*
     30(265) -> 266*
     30(134) -> 135*
     30(23) -> 24*
     30(315) -> 316*
     30(143) -> 144*
     30(251) -> 252*
     30(210) -> 211*
     30(203) -> 204*
     30(191) -> 184*
     30(308) -> 309*
     30(258) -> 259*
     30(190) -> 191*
     30(316) -> 317*
     30(89) -> 90*
     30(47) -> 48*
     30(218) -> 219*
     30(224) -> 225*
     30(292) -> 293*
     30(34) -> 35*
     30(353) -> 347*
     30(362) -> 354*
     30(234) -> 235*
     30(319) -> 320*
     30(103) -> 104*
     30(202) -> 203*
     30(193) -> 194*
     30(227) -> 228*
     30(129) -> 130*
     30(161) -> 162*
     30(95) -> 96*
     30(159) -> 160*
     30(25) -> 26*
     30(2) -> 3*
     30(228) -> 229*
     21(394) -> 395*
     21(383) -> 384*
     20(188) -> 189*
     20(346) -> 339*
     20(153) -> 154*
     20(291) -> 292*
     20(104) -> 98*
     20(306) -> 332*
     20(69) -> 70*
     20(168) -> 169*
     20(85) -> 86*
     20(223) -> 224*
     20(257) -> 258*
     20(348) -> 349*
     20(23) -> 106*
     20(2) -> 23*
     20(116) -> 117*
     20(357) -> 358*
     20(28) -> 29*
     20(124) -> 240*
     20(181) -> 182*
     20(4) -> 5*
     20(13) -> 306*
     20(196) -> 197*
     20(101) -> 102*
     20(94) -> 95*
     20(79) -> 80*
     20(27) -> 28*
     20(198) -> 192*
     20(9) -> 10*
     20(332) -> 333*
     20(64) -> 65*
     20(155) -> 156*
     20(288) -> 281*
     20(315) -> 324*
     20(197) -> 198*
     20(352) -> 353*
     20(276) -> 277*
     20(275) -> 276*
     20(21) -> 12*
     20(61) -> 62*
     20(121) -> 122*
     20(91) -> 92*
     20(77) -> 68*
     20(66) -> 67*
     20(253) -> 254*
     20(195) -> 196*
     20(186) -> 187*
     20(333) -> 334*
     20(112) -> 113*
     20(350) -> 351*
     20(157) -> 150*
     20(270) -> 271*
     20(146) -> 147*
     20(162) -> 163*
     20(200) -> 201*
     20(278) -> 279*
     20(183) -> 176*
     20(166) -> 158*
     20(74) -> 75*
     20(137) -> 138*
     20(51) -> 52*
     31(390) -> 391*
     31(379) -> 380*
     10(240) -> 241*
     10(89) -> 133*
     10(4) -> 282*
     10(2) -> 89*
     10(10) -> 11*
     10(122) -> 114*
     10(360) -> 361*
     10(119) -> 120*
     10(246) -> 239*
     10(5) -> 6*
     10(133) -> 200*
     10(31) -> 22*
     10(71) -> 72*
     10(13) -> 159*
     10(337) -> 338*
     10(189) -> 190*
     10(72) -> 73*
     10(261) -> 262*
     10(349) -> 350*
     10(54) -> 55*
     10(232) -> 233*
     10(255) -> 247*
     10(69) -> 315*
     10(340) -> 341*
     10(284) -> 285*
     10(139) -> 140*
     10(271) -> 272*
     10(3) -> 265*
     10(274) -> 275*
     10(329) -> 330*
     10(268) -> 269*
     10(46) -> 47*
     10(120) -> 121*
     10(149) -> 141*
     10(152) -> 153*
     10(187) -> 188*
     10(79) -> 223*
     10(43) -> 99*
     10(307) -> 308*
     10(99) -> 100*
     10(267) -> 268*
     10(84) -> 85*
     10(8) -> 9*
     10(136) -> 137*
     10(178) -> 179*
     10(322) -> 314*
     10(142) -> 143*
     10(212) -> 213*
     10(19) -> 20*
     10(63) -> 64*
     10(14) -> 15*
     10(327) -> 328*
     10(306) -> 307*
     10(200) -> 208*
     10(260) -> 261*
     10(70) -> 71*
     10(23) -> 51*
     10(124) -> 125*
     10(65) -> 66*
     10(106) -> 215*
     10(182) -> 183*
     10(303) -> 304*
     41(385) -> 386*
     41(374) -> 375*
     41(375) -> 376*
     41(391) -> 392*
     41(386) -> 387*
     41(380) -> 381*
     50(209) -> 210*
     50(57) -> 58*
     50(283) -> 284*
     50(86) -> 87*
     50(285) -> 286*
     50(294) -> 295*
     50(102) -> 103*
     50(33) -> 34*
     50(110) -> 111*
     50(56) -> 57*
     50(108) -> 109*
     50(52) -> 53*
     50(208) -> 209*
     50(336) -> 337*
     50(35) -> 36*
     50(286) -> 287*
     50(334) -> 335*
     50(75) -> 76*
     50(26) -> 27*
     50(3) -> 33*
     50(2) -> 69*
     50(358) -> 359*
     50(113) -> 105*
     50(177) -> 178*
     50(111) -> 112*
     50(300) -> 301*
     50(318) -> 319*
     50(279) -> 280*
     50(14) -> 177*
     50(80) -> 81*
     50(117) -> 118*
     50(213) -> 207*
     50(133) -> 134*
     50(140) -> 132*
     50(194) -> 195*
     50(23) -> 42*
     50(173) -> 174*
     50(242) -> 243*
     50(211) -> 212*
     50(130) -> 131*
     50(205) -> 206*
     50(312) -> 313*
     50(233) -> 234*
     50(328) -> 329*
     50(297) -> 340*
     50(60) -> 61*
     50(93) -> 94*
     50(48) -> 49*
     50(135) -> 136*
     50(263) -> 256*
     50(180) -> 181*
     50(262) -> 263*
     50(90) -> 91*
     f60() -> 2*
     247 -> 79*
     192 -> 23,106
     395 -> 286*
     354 -> 3*
     132 -> 23*
     68 -> 23,70
     256 -> 13*
     231 -> 23,70
     158 -> 23*
     12 -> 69*
     114 -> 79,116
     281 -> 23,70
     264 -> 23,306,240
     283 -> 385*
     105 -> 69,42
     22 -> 79*
     384 -> 207*
     88 -> 23,70
     207 -> 23*
     150 -> 23*
     141 -> 79*
     296 -> 79*
     323 -> 79*
     222 -> 89,133
     305 -> 79*
     123 -> 13,168,43
     1 -> 79,4
     199 -> 79,4
     59 -> 79*
     331 -> 79,115
     347 -> 69*
     50 -> 13,124
     184 -> 69,42
     41 -> 69*
     211 -> 374*
     167 -> 23,70
     289 -> 79*
     273 -> 79,4
     214 -> 79,115
     98 -> 89,265
     32 -> 79*
     176 -> 69,42
     239 -> 79*
     339 -> 23,70
     314 -> 89,223
     78 -> 79*
   problem:
    
   Qed