YES

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

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