YES

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

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {444,424,405,387,370,356,341,326,311,297,282,268,255,
                  242,227,212,199,188,175,163,152,140,129,120,111,102,
                  92,82,74,66,59,51,42,35,28,22,16,10,7,1}
   transitions:
    00(391) -> 392*
    00(273) -> 274*
    00(169) -> 170*
    00(148) -> 149*
    00(145) -> 146*
    00(31) -> 32*
    00(219) -> 220*
    00(44) -> 189*
    00(78) -> 79*
    00(41) -> 35*
    00(349) -> 350*
    00(229) -> 230*
    00(396) -> 397*
    00(73) -> 66*
    00(40) -> 41*
    00(201) -> 202*
    00(183) -> 184*
    00(382) -> 383*
    00(75) -> 76*
    00(293) -> 294*
    00(130) -> 283*
    00(295) -> 296*
    00(221) -> 222*
    00(32) -> 33*
    00(316) -> 317*
    00(304) -> 305*
    00(238) -> 239*
    00(53) -> 54*
    00(6) -> 1*
    00(147) -> 148*
    00(249) -> 250*
    00(164) -> 388*
    00(3) -> 176*
    00(315) -> 316*
    00(181) -> 182*
    00(244) -> 245*
    00(433) -> 434*
    00(151) -> 140*
    00(104) -> 105*
    00(26) -> 27*
    00(61) -> 62*
    00(43) -> 83*
    00(71) -> 72*
    00(189) -> 190*
    00(247) -> 248*
    00(323) -> 324*
    00(411) -> 412*
    00(350) -> 351*
    00(170) -> 171*
    00(353) -> 354*
    00(398) -> 399*
    00(230) -> 231*
    00(184) -> 185*
    00(300) -> 301*
    00(204) -> 205*
    00(257) -> 258*
    00(346) -> 347*
    00(351) -> 352*
    00(430) -> 431*
    00(457) -> 458*
    00(123) -> 124*
    00(329) -> 330*
    00(250) -> 251*
    00(330) -> 331*
    00(440) -> 441*
    00(2) -> 17*
    f60() -> 2*
    20(220) -> 221*
    20(112) -> 113*
    20(338) -> 339*
    20(450) -> 451*
    20(397) -> 398*
    20(203) -> 204*
    20(159) -> 160*
    20(409) -> 410*
    20(320) -> 321*
    20(57) -> 58*
    20(283) -> 284*
    20(301) -> 302*
    20(25) -> 26*
    20(339) -> 340*
    20(178) -> 179*
    20(313) -> 314*
    20(17) -> 153*
    20(136) -> 137*
    20(285) -> 286*
    20(47) -> 48*
    20(115) -> 116*
    20(455) -> 456*
    20(161) -> 162*
    20(101) -> 92*
    20(164) -> 243*
    20(52) -> 256*
    20(461) -> 462*
    20(103) -> 104*
    20(271) -> 272*
    20(36) -> 112*
    20(3) -> 425*
    20(416) -> 417*
    20(2) -> 164*
    20(358) -> 359*
    20(83) -> 84*
    20(43) -> 44*
    20(171) -> 172*
    20(63) -> 64*
    20(239) -> 240*
    20(144) -> 145*
    20(241) -> 227*
    20(85) -> 86*
    20(182) -> 183*
    20(84) -> 85*
    20(324) -> 325*
    20(252) -> 253*
    20(69) -> 70*
    20(456) -> 457*
    20(23) -> 75*
    20(446) -> 447*
    20(243) -> 244*
    20(260) -> 261*
    20(258) -> 259*
    20(381) -> 382*
    20(19) -> 20*
    20(270) -> 271*
    20(34) -> 28*
    20(459) -> 460*
    20(278) -> 279*
    20(448) -> 449*
    20(383) -> 384*
    20(198) -> 188*
    20(18) -> 60*
    20(317) -> 318*
    20(155) -> 156*
    20(72) -> 73*
    20(88) -> 89*
    20(233) -> 234*
    20(335) -> 336*
    20(65) -> 59*
    20(410) -> 411*
    20(96) -> 97*
    20(105) -> 106*
    20(60) -> 61*
    20(99) -> 100*
    20(87) -> 88*
    20(93) -> 94*
    20(236) -> 237*
    20(333) -> 334*
    20(132) -> 133*
    20(176) -> 269*
    20(404) -> 387*
    50(309) -> 310*
    50(421) -> 422*
    50(388) -> 389*
    50(371) -> 372*
    50(266) -> 267*
    50(272) -> 273*
    50(2) -> 43*
    50(245) -> 246*
    50(359) -> 360*
    50(253) -> 254*
    50(412) -> 413*
    50(426) -> 427*
    50(75) -> 445*
    50(127) -> 128*
    50(325) -> 311*
    50(377) -> 378*
    50(366) -> 367*
    50(259) -> 260*
    50(303) -> 304*
    50(174) -> 163*
    50(23) -> 24*
    50(418) -> 419*
    50(445) -> 446*
    50(205) -> 206*
    50(331) -> 332*
    50(76) -> 77*
    50(126) -> 127*
    50(254) -> 242*
    50(121) -> 122*
    50(138) -> 139*
    50(158) -> 159*
    50(190) -> 191*
    50(274) -> 275*
    50(224) -> 225*
    50(462) -> 444*
    50(240) -> 241*
    50(165) -> 166*
    50(3) -> 8*
    50(256) -> 257*
    50(119) -> 111*
    50(267) -> 255*
    50(154) -> 298*
    50(193) -> 194*
    50(290) -> 291*
    50(49) -> 50*
    50(156) -> 157*
    50(139) -> 129*
    50(67) -> 68*
    50(166) -> 167*
    50(385) -> 386*
    50(39) -> 40*
    50(305) -> 306*
    50(288) -> 289*
    50(207) -> 208*
    50(393) -> 394*
    50(428) -> 429*
    50(196) -> 197*
    50(11) -> 12*
    50(124) -> 125*
    50(378) -> 379*
    50(211) -> 199*
    50(86) -> 87*
    50(172) -> 173*
    50(372) -> 373*
    50(164) -> 165*
    50(46) -> 47*
    50(192) -> 193*
    50(374) -> 375*
    50(135) -> 136*
    50(340) -> 326*
    50(399) -> 400*
    50(191) -> 192*
    50(17) -> 18*
    50(286) -> 287*
    50(125) -> 126*
    50(363) -> 364*
    40(422) -> 423*
    40(431) -> 432*
    40(362) -> 363*
    40(417) -> 418*
    40(44) -> 121*
    40(354) -> 355*
    40(237) -> 238*
    40(24) -> 25*
    40(141) -> 142*
    40(2) -> 23*
    40(321) -> 322*
    40(291) -> 292*
    40(17) -> 67*
    40(246) -> 247*
    40(413) -> 414*
    40(5) -> 6*
    40(133) -> 134*
    40(442) -> 443*
    40(62) -> 63*
    40(21) -> 16*
    40(13) -> 14*
    40(20) -> 21*
    40(355) -> 341*
    40(223) -> 224*
    40(27) -> 22*
    40(367) -> 368*
    40(275) -> 276*
    40(437) -> 438*
    40(94) -> 95*
    40(343) -> 344*
    40(146) -> 147*
    40(50) -> 42*
    40(334) -> 335*
    40(235) -> 236*
    40(425) -> 426*
    40(415) -> 416*
    40(9) -> 7*
    40(264) -> 265*
    40(234) -> 235*
    40(164) -> 213*
    40(97) -> 98*
    40(389) -> 390*
    40(299) -> 300*
    40(3) -> 4*
    40(379) -> 380*
    40(18) -> 19*
    40(29) -> 30*
    40(436) -> 437*
    40(90) -> 91*
    40(109) -> 110*
    40(228) -> 229*
    40(414) -> 415*
    40(314) -> 315*
    40(149) -> 150*
    40(403) -> 404*
    40(110) -> 102*
    40(77) -> 78*
    40(342) -> 343*
    40(134) -> 135*
    40(307) -> 308*
    40(231) -> 232*
    40(167) -> 168*
    40(168) -> 169*
    40(386) -> 370*
    40(434) -> 435*
    40(352) -> 353*
    40(262) -> 263*
    40(210) -> 211*
    40(179) -> 180*
    40(8) -> 103*
    40(458) -> 459*
    40(217) -> 218*
    40(281) -> 268*
    40(58) -> 51*
    40(108) -> 109*
    40(160) -> 161*
    40(251) -> 252*
    40(30) -> 31*
    40(91) -> 82*
    40(279) -> 280*
    40(216) -> 217*
    40(76) -> 342*
    40(70) -> 71*
    40(206) -> 207*
    40(23) -> 93*
    40(319) -> 320*
    40(33) -> 34*
    40(452) -> 453*
    40(280) -> 281*
    40(98) -> 99*
    40(226) -> 212*
    40(114) -> 115*
    30(294) -> 295*
    30(153) -> 154*
    30(194) -> 195*
    30(419) -> 420*
    30(368) -> 369*
    30(81) -> 74*
    30(248) -> 249*
    30(312) -> 313*
    30(3) -> 200*
    30(328) -> 329*
    30(142) -> 143*
    30(38) -> 39*
    30(344) -> 345*
    30(180) -> 181*
    30(384) -> 385*
    30(306) -> 307*
    30(365) -> 366*
    30(460) -> 461*
    30(79) -> 80*
    30(107) -> 108*
    30(276) -> 277*
    30(439) -> 440*
    30(438) -> 439*
    30(17) -> 29*
    30(200) -> 201*
    30(137) -> 138*
    30(56) -> 57*
    30(54) -> 55*
    30(23) -> 141*
    30(128) -> 120*
    30(277) -> 278*
    30(347) -> 348*
    30(68) -> 69*
    30(394) -> 395*
    30(287) -> 288*
    30(400) -> 401*
    30(11) -> 52*
    30(106) -> 107*
    30(176) -> 177*
    30(332) -> 333*
    30(308) -> 309*
    30(454) -> 455*
    30(8) -> 357*
    30(360) -> 361*
    30(12) -> 13*
    30(150) -> 151*
    30(164) -> 228*
    30(232) -> 233*
    30(345) -> 346*
    30(218) -> 219*
    30(369) -> 356*
    30(80) -> 81*
    30(173) -> 174*
    30(37) -> 38*
    30(395) -> 396*
    30(441) -> 442*
    30(361) -> 362*
    30(202) -> 203*
    30(48) -> 49*
    30(44) -> 45*
    30(310) -> 297*
    30(435) -> 436*
    30(364) -> 365*
    30(157) -> 158*
    30(401) -> 402*
    30(392) -> 393*
    30(451) -> 452*
    30(95) -> 96*
    30(117) -> 118*
    30(2) -> 3*
    30(357) -> 358*
    30(213) -> 214*
    30(380) -> 381*
    30(284) -> 285*
    30(443) -> 424*
    10(243) -> 312*
    10(100) -> 101*
    10(17) -> 36*
    10(154) -> 155*
    10(375) -> 376*
    10(185) -> 186*
    10(348) -> 349*
    10(263) -> 264*
    10(23) -> 371*
    10(298) -> 299*
    10(2) -> 11*
    10(122) -> 123*
    10(116) -> 117*
    10(449) -> 450*
    10(376) -> 377*
    10(265) -> 266*
    10(36) -> 37*
    10(14) -> 15*
    10(225) -> 226*
    10(327) -> 328*
    10(4) -> 5*
    10(261) -> 262*
    10(402) -> 403*
    10(318) -> 319*
    10(214) -> 215*
    10(55) -> 56*
    10(269) -> 270*
    10(15) -> 10*
    10(322) -> 323*
    10(390) -> 391*
    10(177) -> 178*
    10(187) -> 175*
    10(131) -> 132*
    10(336) -> 337*
    10(302) -> 303*
    10(453) -> 454*
    10(118) -> 119*
    10(432) -> 433*
    10(208) -> 209*
    10(289) -> 290*
    10(113) -> 114*
    10(64) -> 65*
    10(423) -> 405*
    10(296) -> 282*
    10(408) -> 409*
    10(197) -> 198*
    10(420) -> 421*
    10(89) -> 90*
    10(215) -> 216*
    10(52) -> 53*
    10(406) -> 407*
    10(8) -> 9*
    10(143) -> 144*
    10(337) -> 338*
    10(373) -> 374*
    10(45) -> 46*
    10(222) -> 223*
    10(195) -> 196*
    10(186) -> 187*
    10(3) -> 130*
    10(407) -> 408*
    10(162) -> 152*
    10(209) -> 210*
    10(447) -> 448*
    10(141) -> 406*
    10(292) -> 293*
    10(67) -> 327*
    10(429) -> 430*
    10(130) -> 131*
    10(427) -> 428*
    163 -> 43*
    92 -> 164,153,284
    74 -> 164,243
    424 -> 3,141
    242 -> 3,200,201
    35 -> 17*
    42 -> 11*
    444 -> 43,165
    370 -> 17*
    7 -> 164*
    282 -> 11,130
    140 -> 17,283,54
    16 -> 164*
    66 -> 164,243,244
    188 -> 164,243
    212 -> 17*
    28 -> 17*
    82 -> 11,130,53
    22 -> 23,4,14
    311 -> 43,24
    268 -> 23,4,30
    297 -> 3,13
    1 -> 17*
    175 -> 11,130
    255 -> 3,200,201
    199 -> 43,18,389
    59 -> 17*
    341 -> 17*
    405 -> 11,36
    120 -> 43,12
    227 -> 164,243
    326 -> 17,388
    129 -> 43,8
    387 -> 17*
    51 -> 23*
    10 -> 11*
    152 -> 11*
    356 -> 3,29
    102 -> 23*
    111 -> 3,228
  problem:
   
  Qed