YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {408,399,391,383,374,366,358,350,341,332,323,315,310,
                  302,293,285,276,268,260,253,244,235,227,218,210,203,
                  195,187,181,172,163,154,145,137,128,119,112,102,94,
                  85,77,67,57,50,41,31,22,12,1}
   transitions:
    50(225) -> 226*
    50(243) -> 235*
    50(266) -> 267*
    50(2) -> 32*
    50(215) -> 216*
    50(245) -> 246*
    50(178) -> 179*
    50(412) -> 413*
    50(398) -> 391*
    50(115) -> 116*
    50(233) -> 234*
    50(68) -> 155*
    50(23) -> 24*
    50(313) -> 314*
    50(33) -> 34*
    50(180) -> 172*
    50(382) -> 374*
    50(114) -> 115*
    50(394) -> 395*
    50(183) -> 184*
    50(179) -> 180*
    50(176) -> 177*
    50(32) -> 33*
    50(150) -> 151*
    50(240) -> 241*
    50(3) -> 4*
    50(319) -> 320*
    50(298) -> 299*
    50(103) -> 375*
    50(289) -> 290*
    50(267) -> 260*
    50(307) -> 308*
    50(52) -> 311*
    50(348) -> 349*
    50(13) -> 14*
    50(4) -> 316*
    50(355) -> 356*
    50(146) -> 147*
    50(241) -> 242*
    50(242) -> 243*
    50(59) -> 60*
    50(124) -> 125*
    50(407) -> 399*
    50(129) -> 269*
    50(230) -> 231*
    50(211) -> 212*
    50(362) -> 363*
    50(86) -> 87*
    50(122) -> 123*
    50(353) -> 354*
    50(177) -> 178*
    50(123) -> 124*
    50(58) -> 245*
    50(82) -> 83*
    50(406) -> 407*
    50(296) -> 297*
    50(171) -> 163*
    50(100) -> 101*
    50(125) -> 126*
    50(415) -> 408*
    31(441) -> 442*
    31(444) -> 445*
    31(521) -> 522*
    31(474) -> 475*
    31(485) -> 486*
    31(518) -> 519*
    31(488) -> 489*
    31(529) -> 530*
    31(433) -> 434*
    31(477) -> 478*
    31(532) -> 533*
    31(430) -> 431*
    21(522) -> 523*
    21(489) -> 490*
    21(478) -> 479*
    21(533) -> 534*
    21(445) -> 446*
    21(434) -> 435*
    10(265) -> 266*
    10(301) -> 293*
    10(194) -> 187*
    10(72) -> 73*
    10(273) -> 274*
    10(68) -> 69*
    10(148) -> 149*
    10(88) -> 89*
    10(386) -> 387*
    10(393) -> 394*
    10(13) -> 23*
    10(370) -> 371*
    10(385) -> 386*
    10(231) -> 232*
    10(185) -> 186*
    10(109) -> 110*
    10(219) -> 384*
    10(16) -> 17*
    10(78) -> 79*
    10(34) -> 35*
    10(278) -> 279*
    10(162) -> 154*
    10(209) -> 203*
    10(108) -> 109*
    10(368) -> 369*
    10(143) -> 144*
    10(372) -> 373*
    10(73) -> 74*
    10(39) -> 40*
    10(120) -> 121*
    10(42) -> 138*
    10(103) -> 104*
    10(409) -> 410*
    10(129) -> 130*
    10(45) -> 46*
    10(93) -> 85*
    10(259) -> 253*
    10(52) -> 53*
    10(15) -> 16*
    10(33) -> 303*
    10(7) -> 8*
    10(305) -> 306*
    10(208) -> 209*
    10(161) -> 162*
    10(262) -> 263*
    10(121) -> 122*
    10(379) -> 380*
    10(32) -> 324*
    10(316) -> 317*
    10(132) -> 133*
    10(23) -> 95*
    10(70) -> 113*
    10(198) -> 199*
    10(304) -> 305*
    10(320) -> 321*
    10(238) -> 239*
    10(66) -> 57*
    10(53) -> 54*
    10(14) -> 15*
    10(192) -> 193*
    10(11) -> 1*
    10(3) -> 42*
    10(223) -> 224*
    10(96) -> 97*
    10(151) -> 152*
    10(222) -> 223*
    10(234) -> 227*
    10(37) -> 38*
    10(334) -> 335*
    10(390) -> 383*
    10(159) -> 160*
    10(4) -> 5*
    10(43) -> 44*
    10(217) -> 210*
    10(376) -> 377*
    10(239) -> 240*
    10(291) -> 292*
    10(189) -> 190*
    10(152) -> 153*
    10(36) -> 37*
    10(30) -> 22*
    10(255) -> 256*
    10(252) -> 244*
    10(309) -> 302*
    10(166) -> 167*
    10(79) -> 80*
    10(246) -> 247*
    10(64) -> 65*
    10(314) -> 310*
    10(54) -> 55*
    10(10) -> 11*
    10(331) -> 323*
    10(134) -> 135*
    10(133) -> 134*
    10(346) -> 347*
    10(65) -> 66*
    10(288) -> 289*
    10(224) -> 225*
    10(263) -> 264*
    10(91) -> 92*
    10(117) -> 118*
    10(275) -> 268*
    10(56) -> 50*
    10(196) -> 197*
    10(329) -> 330*
    10(28) -> 29*
    10(250) -> 251*
    10(274) -> 275*
    10(237) -> 238*
    10(18) -> 19*
    10(317) -> 318*
    10(322) -> 315*
    10(2) -> 13*
    40(294) -> 295*
    40(35) -> 36*
    40(272) -> 273*
    40(149) -> 150*
    40(404) -> 405*
    40(29) -> 30*
    40(312) -> 313*
    40(414) -> 415*
    40(352) -> 353*
    40(349) -> 341*
    40(282) -> 283*
    40(306) -> 307*
    40(221) -> 222*
    40(138) -> 139*
    40(363) -> 364*
    40(299) -> 300*
    40(116) -> 117*
    40(63) -> 64*
    40(17) -> 18*
    40(13) -> 129*
    40(359) -> 360*
    40(212) -> 213*
    40(14) -> 261*
    40(342) -> 343*
    40(277) -> 278*
    40(68) -> 333*
    40(356) -> 357*
    40(290) -> 291*
    40(324) -> 325*
    40(403) -> 404*
    40(279) -> 280*
    40(400) -> 401*
    40(141) -> 142*
    40(106) -> 107*
    40(60) -> 61*
    40(89) -> 90*
    40(360) -> 361*
    40(402) -> 403*
    40(164) -> 165*
    40(173) -> 174*
    40(371) -> 372*
    40(46) -> 47*
    40(396) -> 397*
    40(42) -> 43*
    40(103) -> 120*
    40(247) -> 248*
    40(147) -> 148*
    40(318) -> 319*
    40(129) -> 367*
    40(58) -> 277*
    40(377) -> 378*
    40(311) -> 312*
    40(6) -> 7*
    40(74) -> 75*
    40(155) -> 156*
    40(160) -> 161*
    40(373) -> 366*
    40(2) -> 3*
    40(410) -> 411*
    11(531) -> 532*
    11(487) -> 488*
    11(446) -> 447*
    11(534) -> 535*
    11(440) -> 441*
    11(436) -> 437*
    11(473) -> 474*
    11(491) -> 492*
    11(432) -> 433*
    11(520) -> 521*
    11(447) -> 448*
    11(429) -> 430*
    11(480) -> 481*
    11(443) -> 444*
    11(435) -> 436*
    11(476) -> 477*
    11(479) -> 480*
    11(490) -> 491*
    11(524) -> 525*
    11(523) -> 524*
    11(528) -> 529*
    11(535) -> 536*
    11(517) -> 518*
    11(484) -> 485*
    30(232) -> 233*
    30(153) -> 145*
    30(389) -> 390*
    30(103) -> 294*
    30(226) -> 218*
    30(156) -> 204*
    30(69) -> 70*
    30(164) -> 359*
    30(23) -> 351*
    30(2) -> 58*
    30(330) -> 331*
    30(139) -> 140*
    30(47) -> 48*
    30(357) -> 350*
    30(43) -> 51*
    30(327) -> 328*
    30(5) -> 6*
    30(261) -> 262*
    30(90) -> 91*
    30(295) -> 296*
    30(81) -> 82*
    30(13) -> 173*
    30(126) -> 127*
    30(269) -> 270*
    30(258) -> 259*
    30(361) -> 362*
    30(110) -> 111*
    30(83) -> 84*
    30(405) -> 406*
    30(384) -> 385*
    30(68) -> 400*
    30(199) -> 200*
    30(339) -> 340*
    30(326) -> 327*
    30(347) -> 348*
    30(228) -> 229*
    30(206) -> 207*
    30(286) -> 287*
    30(167) -> 168*
    30(8) -> 9*
    30(26) -> 27*
    30(48) -> 49*
    30(337) -> 338*
    30(58) -> 164*
    30(321) -> 322*
    30(129) -> 211*
    30(280) -> 281*
    30(3) -> 342*
    30(105) -> 106*
    30(95) -> 96*
    30(158) -> 159*
    30(378) -> 379*
    30(300) -> 301*
    30(92) -> 93*
    30(127) -> 119*
    30(229) -> 230*
    30(292) -> 285*
    30(413) -> 414*
    30(190) -> 191*
    30(51) -> 52*
    51(439) -> 440*
    51(516) -> 517*
    51(527) -> 528*
    51(483) -> 484*
    51(428) -> 429*
    51(472) -> 473*
    20(157) -> 158*
    20(254) -> 255*
    20(138) -> 254*
    20(44) -> 182*
    20(68) -> 146*
    20(2) -> 68*
    20(336) -> 337*
    20(103) -> 219*
    20(71) -> 72*
    20(13) -> 86*
    20(20) -> 21*
    20(325) -> 326*
    20(287) -> 288*
    20(411) -> 412*
    20(328) -> 329*
    20(27) -> 28*
    20(61) -> 62*
    20(80) -> 81*
    20(248) -> 249*
    20(101) -> 94*
    20(236) -> 237*
    20(184) -> 185*
    20(25) -> 26*
    20(308) -> 309*
    20(9) -> 10*
    20(111) -> 102*
    20(140) -> 141*
    20(264) -> 265*
    20(69) -> 188*
    20(340) -> 332*
    20(97) -> 98*
    20(40) -> 31*
    20(175) -> 176*
    20(401) -> 402*
    20(129) -> 392*
    20(55) -> 56*
    20(283) -> 284*
    20(107) -> 108*
    20(257) -> 258*
    20(338) -> 339*
    20(99) -> 100*
    20(168) -> 169*
    20(365) -> 358*
    20(335) -> 336*
    20(344) -> 345*
    20(174) -> 175*
    20(205) -> 206*
    20(136) -> 128*
    20(118) -> 112*
    20(144) -> 137*
    20(251) -> 252*
    20(14) -> 228*
    20(270) -> 271*
    20(216) -> 217*
    20(200) -> 201*
    20(170) -> 171*
    20(165) -> 166*
    20(70) -> 71*
    20(219) -> 220*
    20(369) -> 370*
    20(182) -> 183*
    20(98) -> 99*
    41(482) -> 483*
    41(486) -> 487*
    41(471) -> 472*
    41(526) -> 527*
    41(515) -> 516*
    41(442) -> 443*
    41(519) -> 520*
    41(530) -> 531*
    41(427) -> 428*
    41(475) -> 476*
    41(438) -> 439*
    41(431) -> 432*
    00(220) -> 221*
    00(249) -> 250*
    00(397) -> 398*
    00(104) -> 105*
    00(380) -> 381*
    00(204) -> 205*
    00(207) -> 208*
    00(375) -> 376*
    00(343) -> 344*
    00(58) -> 59*
    00(44) -> 45*
    00(367) -> 368*
    00(129) -> 409*
    00(392) -> 393*
    00(271) -> 272*
    00(142) -> 143*
    00(75) -> 76*
    00(2) -> 103*
    00(281) -> 282*
    00(113) -> 114*
    00(256) -> 257*
    00(201) -> 202*
    00(49) -> 41*
    00(14) -> 78*
    00(364) -> 365*
    00(387) -> 388*
    00(38) -> 39*
    00(76) -> 67*
    00(84) -> 77*
    00(213) -> 214*
    00(62) -> 63*
    00(186) -> 181*
    00(214) -> 215*
    00(354) -> 355*
    00(191) -> 192*
    00(277) -> 286*
    00(351) -> 352*
    00(202) -> 195*
    00(388) -> 389*
    00(130) -> 131*
    00(381) -> 382*
    00(188) -> 189*
    00(169) -> 170*
    00(19) -> 20*
    00(345) -> 346*
    00(21) -> 12*
    00(24) -> 25*
    00(68) -> 236*
    00(193) -> 194*
    00(395) -> 396*
    00(197) -> 198*
    00(297) -> 298*
    00(156) -> 157*
    00(87) -> 88*
    00(135) -> 136*
    00(333) -> 334*
    00(131) -> 132*
    00(146) -> 196*
    00(284) -> 276*
    00(303) -> 304*
    f60() -> 2*
    408 -> 32,4
    94 -> 68,219
    163 -> 32,33
    210 -> 3,120
    195 -> 103*
    399 -> 32,4
    358 -> 3,333
    285 -> 103*
    203 -> 58,294
    492 -> 382*
    154 -> 32,245
    310 -> 13*
    137 -> 3,333
    77 -> 103*
    112 -> 68*
    85 -> 13,104
    12 -> 103*
    481 -> 132*
    244 -> 32,245
    525 -> 195*
    437 -> 215*
    350 -> 68*
    67 -> 103,59
    75 -> 526*
    22 -> 103,59
    302 -> 13,69
    172 -> 32,33,246
    268 -> 103*
    201 -> 515*
    253 -> 32,33,246
    235 -> 32,155,147
    536 -> 67*
    323 -> 13,324
    332 -> 68,146
    1 -> 103*
    380 -> 482*
    31 -> 68*
    293 -> 103*
    130 -> 471*
    341 -> 68*
    187 -> 103*
    213 -> 427*
    218 -> 3,333
    57 -> 103*
    50 -> 32,245
    41 -> 32,245
    227 -> 32,375
    260 -> 32,33,34
    276 -> 103,59
    145 -> 32,155
    119 -> 58,164
    391 -> 32,155
    383 -> 32,375,60
    374 -> 32,375
    448 -> 389*
    181 -> 103*
    387 -> 438*
    128 -> 3,120
    315 -> 13*
    102 -> 68*
    366 -> 3,61
  problem:
   
  Qed