YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {450,442,433,425,418,409,400,392,384,376,368,361,353,
                  345,338,334,326,317,308,299,291,283,274,266,258,250,
                  241,233,224,215,206,200,191,183,174,165,156,147,138,
                  129,120,112,102,92,84,76,69,60,50,41,31,22,12,1}
   transitions:
    10(225) -> 226*
    10(213) -> 214*
    10(324) -> 325*
    10(221) -> 222*
    10(272) -> 273*
    10(2) -> 51*
    10(178) -> 179*
    10(426) -> 427*
    10(264) -> 265*
    10(398) -> 399*
    10(104) -> 354*
    10(366) -> 367*
    10(440) -> 441*
    10(68) -> 60*
    10(328) -> 329*
    10(212) -> 213*
    10(33) -> 85*
    10(38) -> 39*
    10(64) -> 65*
    10(77) -> 78*
    10(51) -> 175*
    10(45) -> 46*
    10(126) -> 127*
    10(382) -> 383*
    10(114) -> 115*
    10(131) -> 132*
    10(254) -> 255*
    10(179) -> 180*
    10(110) -> 111*
    10(176) -> 177*
    10(32) -> 130*
    10(57) -> 58*
    10(216) -> 377*
    10(137) -> 129*
    10(133) -> 134*
    10(306) -> 307*
    10(30) -> 22*
    10(74) -> 75*
    10(217) -> 218*
    10(3) -> 4*
    10(321) -> 322*
    10(48) -> 49*
    10(319) -> 362*
    10(443) -> 444*
    10(439) -> 440*
    10(103) -> 121*
    10(289) -> 290*
    10(119) -> 112*
    10(273) -> 266*
    10(271) -> 272*
    10(446) -> 447*
    10(52) -> 53*
    10(149) -> 150*
    10(357) -> 358*
    10(420) -> 421*
    10(155) -> 147*
    10(15) -> 16*
    10(139) -> 140*
    10(181) -> 182*
    10(167) -> 168*
    10(67) -> 68*
    10(316) -> 308*
    10(166) -> 385*
    10(20) -> 21*
    10(118) -> 119*
    10(93) -> 309*
    10(13) -> 166*
    10(184) -> 185*
    10(428) -> 429*
    10(28) -> 29*
    10(236) -> 237*
    10(146) -> 138*
    10(202) -> 203*
    10(36) -> 37*
    10(304) -> 305*
    10(226) -> 227*
    10(242) -> 243*
    10(407) -> 408*
    10(378) -> 379*
    10(117) -> 118*
    10(94) -> 95*
    10(230) -> 231*
    10(222) -> 223*
    10(237) -> 238*
    10(98) -> 99*
    10(153) -> 154*
    10(86) -> 87*
    10(172) -> 173*
    10(164) -> 156*
    10(344) -> 338*
    10(342) -> 343*
    10(255) -> 256*
    10(279) -> 280*
    10(223) -> 215*
    10(374) -> 375*
    10(318) -> 327*
    10(406) -> 407*
    10(404) -> 405*
    10(106) -> 107*
    10(108) -> 109*
    10(140) -> 419*
    41(519) -> 520*
    41(518) -> 519*
    41(488) -> 489*
    41(476) -> 477*
    41(487) -> 488*
    41(477) -> 478*
    11(522) -> 523*
    11(517) -> 518*
    11(471) -> 472*
    11(482) -> 483*
    20(47) -> 48*
    20(265) -> 258*
    20(432) -> 425*
    20(417) -> 409*
    20(160) -> 161*
    20(115) -> 116*
    20(339) -> 340*
    20(193) -> 194*
    20(88) -> 89*
    20(296) -> 297*
    20(13) -> 14*
    20(385) -> 386*
    20(449) -> 442*
    20(231) -> 232*
    20(144) -> 145*
    20(210) -> 211*
    20(458) -> 450*
    20(188) -> 189*
    20(261) -> 262*
    20(34) -> 35*
    20(209) -> 210*
    20(186) -> 187*
    20(142) -> 143*
    20(396) -> 397*
    20(413) -> 414*
    20(143) -> 144*
    20(412) -> 413*
    20(372) -> 373*
    20(40) -> 31*
    20(201) -> 202*
    20(293) -> 294*
    20(127) -> 128*
    20(103) -> 225*
    20(240) -> 233*
    20(195) -> 196*
    20(52) -> 369*
    20(15) -> 339*
    20(180) -> 181*
    20(290) -> 283*
    20(405) -> 406*
    20(33) -> 34*
    20(208) -> 209*
    20(269) -> 270*
    20(161) -> 162*
    20(421) -> 422*
    20(81) -> 82*
    20(347) -> 348*
    20(32) -> 434*
    20(125) -> 126*
    20(94) -> 292*
    20(23) -> 24*
    20(256) -> 257*
    20(66) -> 67*
    20(100) -> 101*
    20(83) -> 76*
    20(6) -> 7*
    20(11) -> 1*
    20(249) -> 241*
    20(282) -> 274*
    20(3) -> 318*
    20(315) -> 316*
    20(96) -> 201*
    20(150) -> 151*
    20(248) -> 249*
    20(244) -> 245*
    20(402) -> 403*
    20(104) -> 426*
    20(435) -> 436*
    20(26) -> 27*
    20(63) -> 64*
    20(124) -> 125*
    20(408) -> 400*
    20(21) -> 12*
    20(239) -> 240*
    20(189) -> 190*
    20(24) -> 25*
    20(220) -> 335*
    20(152) -> 153*
    20(350) -> 351*
    20(113) -> 114*
    20(429) -> 430*
    20(19) -> 20*
    20(166) -> 184*
    20(79) -> 80*
    20(99) -> 100*
    20(314) -> 315*
    20(260) -> 261*
    20(452) -> 453*
    20(54) -> 55*
    20(356) -> 357*
    20(300) -> 346*
    20(10) -> 11*
    20(134) -> 135*
    20(257) -> 250*
    20(288) -> 289*
    20(90) -> 91*
    20(91) -> 84*
    20(227) -> 228*
    20(362) -> 363*
    20(123) -> 124*
    20(389) -> 390*
    20(196) -> 197*
    20(177) -> 178*
    20(330) -> 331*
    20(18) -> 19*
    20(410) -> 411*
    20(163) -> 164*
    20(2) -> 103*
    30(65) -> 66*
    30(343) -> 344*
    30(5) -> 6*
    30(419) -> 420*
    30(278) -> 279*
    30(101) -> 92*
    30(301) -> 302*
    30(381) -> 382*
    30(29) -> 30*
    30(3) -> 275*
    30(370) -> 371*
    30(327) -> 328*
    30(49) -> 41*
    30(166) -> 251*
    30(53) -> 70*
    30(204) -> 205*
    30(437) -> 438*
    30(168) -> 169*
    30(393) -> 394*
    30(285) -> 286*
    30(424) -> 418*
    30(197) -> 198*
    30(216) -> 217*
    30(262) -> 263*
    30(182) -> 174*
    30(62) -> 63*
    30(116) -> 117*
    30(351) -> 352*
    30(107) -> 108*
    30(300) -> 301*
    30(148) -> 149*
    30(97) -> 98*
    30(13) -> 139*
    30(56) -> 57*
    30(27) -> 28*
    30(14) -> 15*
    30(281) -> 282*
    30(251) -> 252*
    30(238) -> 239*
    30(302) -> 303*
    30(93) -> 94*
    30(358) -> 359*
    30(403) -> 404*
    30(298) -> 291*
    30(416) -> 417*
    30(390) -> 391*
    30(135) -> 136*
    30(105) -> 106*
    30(399) -> 392*
    30(203) -> 204*
    30(303) -> 304*
    30(453) -> 454*
    30(207) -> 208*
    30(229) -> 230*
    30(70) -> 71*
    30(232) -> 224*
    30(383) -> 376*
    30(427) -> 428*
    30(220) -> 221*
    30(245) -> 246*
    30(140) -> 141*
    30(218) -> 219*
    30(173) -> 165*
    30(371) -> 372*
    30(4) -> 5*
    30(192) -> 193*
    30(103) -> 104*
    30(162) -> 163*
    30(441) -> 433*
    30(44) -> 45*
    30(310) -> 311*
    30(318) -> 319*
    30(401) -> 402*
    30(51) -> 148*
    30(58) -> 59*
    30(451) -> 452*
    30(225) -> 284*
    30(295) -> 296*
    30(175) -> 176*
    30(235) -> 236*
    30(132) -> 133*
    30(78) -> 79*
    30(2) -> 13*
    30(109) -> 110*
    30(73) -> 74*
    21(474) -> 475*
    21(515) -> 516*
    21(520) -> 521*
    21(489) -> 490*
    21(485) -> 486*
    21(521) -> 522*
    21(479) -> 480*
    21(490) -> 491*
    21(523) -> 524*
    21(478) -> 479*
    00(219) -> 220*
    00(243) -> 244*
    00(331) -> 332*
    00(422) -> 423*
    00(297) -> 298*
    00(103) -> 300*
    00(85) -> 86*
    00(246) -> 247*
    00(2) -> 93*
    00(122) -> 123*
    00(43) -> 44*
    00(309) -> 310*
    00(214) -> 206*
    00(171) -> 172*
    00(386) -> 387*
    00(42) -> 43*
    00(414) -> 415*
    00(72) -> 73*
    00(322) -> 323*
    00(444) -> 445*
    00(71) -> 72*
    00(187) -> 188*
    00(247) -> 248*
    00(94) -> 393*
    00(287) -> 288*
    00(336) -> 337*
    00(128) -> 120*
    00(170) -> 171*
    00(111) -> 102*
    00(52) -> 234*
    00(80) -> 81*
    00(93) -> 401*
    00(313) -> 314*
    00(121) -> 122*
    00(312) -> 313*
    00(373) -> 374*
    00(253) -> 254*
    00(32) -> 192*
    00(319) -> 320*
    00(280) -> 281*
    00(445) -> 446*
    00(335) -> 336*
    00(7) -> 8*
    00(3) -> 216*
    00(341) -> 342*
    00(430) -> 431*
    00(158) -> 159*
    00(37) -> 38*
    00(447) -> 448*
    00(292) -> 293*
    00(46) -> 47*
    00(53) -> 54*
    00(51) -> 157*
    01(486) -> 487*
    01(475) -> 476*
    40(333) -> 326*
    40(89) -> 90*
    40(16) -> 17*
    40(157) -> 158*
    40(2) -> 32*
    40(17) -> 18*
    40(360) -> 353*
    40(103) -> 451*
    40(456) -> 457*
    40(13) -> 207*
    40(375) -> 368*
    40(438) -> 439*
    40(337) -> 334*
    40(355) -> 356*
    40(411) -> 412*
    40(367) -> 361*
    40(275) -> 276*
    40(305) -> 306*
    40(61) -> 62*
    40(192) -> 259*
    40(94) -> 267*
    40(145) -> 146*
    40(311) -> 312*
    40(25) -> 26*
    40(415) -> 416*
    40(9) -> 10*
    40(377) -> 378*
    40(359) -> 360*
    40(154) -> 155*
    40(286) -> 287*
    40(284) -> 285*
    40(259) -> 260*
    40(3) -> 23*
    40(82) -> 83*
    40(436) -> 437*
    40(268) -> 269*
    40(55) -> 56*
    40(323) -> 324*
    40(294) -> 295*
    40(395) -> 396*
    40(448) -> 449*
    40(32) -> 33*
    40(332) -> 333*
    40(434) -> 435*
    40(352) -> 345*
    40(267) -> 268*
    40(8) -> 9*
    40(35) -> 36*
    40(130) -> 131*
    40(169) -> 170*
    40(166) -> 167*
    40(159) -> 160*
    40(252) -> 253*
    40(270) -> 271*
    40(151) -> 152*
    51(470) -> 471*
    51(481) -> 482*
    31(516) -> 517*
    31(473) -> 474*
    31(484) -> 485*
    31(472) -> 473*
    31(483) -> 484*
    31(514) -> 515*
    50(141) -> 142*
    50(397) -> 398*
    50(379) -> 380*
    50(104) -> 105*
    50(320) -> 321*
    50(380) -> 381*
    50(457) -> 458*
    50(51) -> 52*
    50(329) -> 330*
    50(39) -> 40*
    50(136) -> 137*
    50(234) -> 235*
    50(13) -> 242*
    50(455) -> 456*
    50(346) -> 347*
    50(391) -> 384*
    50(276) -> 277*
    50(363) -> 364*
    50(423) -> 424*
    50(431) -> 432*
    50(75) -> 69*
    50(3) -> 42*
    50(228) -> 229*
    50(2) -> 3*
    50(307) -> 299*
    50(14) -> 443*
    50(364) -> 365*
    50(4) -> 113*
    50(387) -> 388*
    50(325) -> 317*
    50(199) -> 191*
    50(354) -> 355*
    50(194) -> 195*
    50(365) -> 366*
    50(369) -> 370*
    50(277) -> 278*
    50(190) -> 183*
    50(211) -> 212*
    50(61) -> 77*
    50(32) -> 61*
    50(388) -> 389*
    50(95) -> 96*
    50(205) -> 200*
    50(394) -> 395*
    50(349) -> 350*
    50(198) -> 199*
    50(185) -> 186*
    50(96) -> 97*
    50(87) -> 88*
    50(93) -> 410*
    50(454) -> 455*
    50(263) -> 264*
    50(348) -> 349*
    50(59) -> 50*
    50(340) -> 341*
    f60() -> 2*
    291 -> 13,94,217
    156 -> 13*
    191 -> 3*
    442 -> 3,42
    70 -> 481*
    317 -> 13,275
    418 -> 3,61
    266 -> 51,130
    92 -> 3,61
    353 -> 32,207,276
    215 -> 93*
    206 -> 93,401
    250 -> 93,216
    245 -> 470*
    414 -> 514*
    69 -> 3,410
    450 -> 3,42
    112 -> 93,393
    12 -> 13*
    425 -> 3,61
    258 -> 51,309,377
    400 -> 3,61
    368 -> 32,23
    433 -> 3,61
    283 -> 103*
    174 -> 32*
    22 -> 13*
    308 -> 13*
    384 -> 3,410
    345 -> 32,207
    138 -> 51,309
    233 -> 93,216
    76 -> 3,52,113
    480 -> 248*
    60 -> 3,410
    334 -> 32*
    183 -> 3,410
    392 -> 3,242
    524 -> 417*
    165 -> 13,275
    409 -> 3,61
    1 -> 93,401
    31 -> 93,216
    224 -> 93,192
    241 -> 93,216,234
    361 -> 32,33
    147 -> 51,130
    50 -> 3,410
    120 -> 93*
    41 -> 13,139
    491 -> 73*
    299 -> 13,139
    84 -> 3,61
    326 -> 32*
    129 -> 93,216
    274 -> 51,130
    338 -> 32*
    102 -> 93,300
    200 -> 3,242
    376 -> 3,410
  problem:
   
  Qed