YES

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

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