YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {358,350,342,335,327,319,312,304,296,288,279,271,263,
                  255,248,239,231,223,216,207,199,190,182,174,165,157,
                  147,139,131,122,114,105,97,88,79,69,60,51,42,32,22,
                  12,1}
   transitions:
    50(225) -> 226*
    50(324) -> 325*
    50(2) -> 3*
    50(187) -> 188*
    50(178) -> 179*
    50(264) -> 265*
    50(204) -> 205*
    50(127) -> 128*
    50(188) -> 189*
    50(300) -> 301*
    50(64) -> 65*
    50(77) -> 78*
    50(45) -> 46*
    50(126) -> 127*
    50(121) -> 114*
    50(179) -> 180*
    50(345) -> 346*
    50(176) -> 177*
    50(163) -> 164*
    50(195) -> 196*
    50(224) -> 225*
    50(354) -> 355*
    50(308) -> 309*
    50(62) -> 63*
    50(329) -> 330*
    50(261) -> 262*
    50(346) -> 347*
    50(3) -> 4*
    50(16) -> 17*
    50(14) -> 200*
    50(154) -> 155*
    50(193) -> 194*
    50(290) -> 291*
    50(72) -> 73*
    50(194) -> 195*
    50(89) -> 158*
    50(107) -> 108*
    50(161) -> 162*
    50(148) -> 149*
    50(234) -> 235*
    50(128) -> 129*
    50(355) -> 356*
    50(242) -> 243*
    50(96) -> 88*
    50(59) -> 51*
    50(53) -> 54*
    50(63) -> 64*
    50(98) -> 99*
    50(61) -> 62*
    50(203) -> 204*
    50(46) -> 47*
    50(344) -> 345*
    50(227) -> 228*
    50(120) -> 121*
    50(171) -> 172*
    50(132) -> 133*
    50(191) -> 192*
    50(106) -> 115*
    50(125) -> 126*
    31(379) -> 380*
    31(378) -> 379*
    31(384) -> 385*
    21(385) -> 386*
    00(265) -> 266*
    00(13) -> 123*
    00(286) -> 287*
    00(145) -> 146*
    00(328) -> 329*
    00(31) -> 22*
    00(266) -> 267*
    00(78) -> 69*
    00(321) -> 322*
    00(289) -> 290*
    00(201) -> 202*
    00(75) -> 76*
    00(27) -> 28*
    00(180) -> 181*
    00(15) -> 16*
    00(33) -> 34*
    00(228) -> 229*
    00(111) -> 112*
    00(241) -> 242*
    00(198) -> 190*
    00(256) -> 257*
    00(238) -> 231*
    00(14) -> 256*
    00(11) -> 1*
    00(284) -> 285*
    00(3) -> 106*
    00(244) -> 245*
    00(155) -> 156*
    00(124) -> 125*
    00(4) -> 140*
    00(43) -> 44*
    00(71) -> 305*
    00(55) -> 56*
    00(113) -> 105*
    00(80) -> 232*
    00(246) -> 247*
    00(230) -> 223*
    00(65) -> 66*
    00(275) -> 276*
    00(2) -> 70*
    30(151) -> 152*
    30(7) -> 8*
    30(5) -> 6*
    30(158) -> 159*
    30(196) -> 197*
    30(149) -> 150*
    30(101) -> 102*
    30(104) -> 97*
    30(240) -> 272*
    30(226) -> 227*
    30(189) -> 182*
    30(166) -> 175*
    30(142) -> 143*
    30(307) -> 308*
    30(285) -> 286*
    30(66) -> 67*
    30(197) -> 198*
    30(170) -> 171*
    30(236) -> 237*
    30(250) -> 251*
    30(320) -> 321*
    30(118) -> 119*
    30(13) -> 14*
    30(54) -> 55*
    30(23) -> 52*
    30(14) -> 15*
    30(281) -> 282*
    30(181) -> 174*
    30(356) -> 357*
    30(36) -> 37*
    30(92) -> 93*
    30(135) -> 136*
    30(334) -> 327*
    30(106) -> 107*
    30(332) -> 333*
    30(303) -> 296*
    30(47) -> 48*
    30(360) -> 361*
    30(317) -> 318*
    30(70) -> 71*
    30(232) -> 233*
    30(85) -> 86*
    30(243) -> 244*
    30(34) -> 35*
    30(24) -> 25*
    30(4) -> 5*
    30(133) -> 134*
    30(348) -> 349*
    30(162) -> 163*
    30(48) -> 49*
    30(337) -> 338*
    30(110) -> 111*
    30(19) -> 20*
    30(364) -> 365*
    30(58) -> 59*
    30(71) -> 132*
    30(152) -> 153*
    30(311) -> 304*
    30(340) -> 341*
    30(95) -> 96*
    30(117) -> 118*
    30(175) -> 176*
    30(2) -> 33*
    30(109) -> 110*
    30(73) -> 74*
    11(382) -> 383*
    11(386) -> 387*
    20(219) -> 220*
    20(38) -> 39*
    20(291) -> 292*
    20(20) -> 21*
    20(168) -> 169*
    20(282) -> 283*
    20(294) -> 295*
    20(164) -> 157*
    20(305) -> 336*
    20(2) -> 23*
    20(330) -> 331*
    20(40) -> 41*
    20(259) -> 260*
    20(43) -> 351*
    20(160) -> 161*
    20(14) -> 297*
    20(191) -> 289*
    20(13) -> 43*
    20(258) -> 259*
    20(39) -> 40*
    20(148) -> 280*
    20(102) -> 103*
    20(71) -> 72*
    20(136) -> 137*
    20(262) -> 255*
    20(84) -> 85*
    20(119) -> 120*
    20(274) -> 275*
    20(287) -> 279*
    20(6) -> 7*
    20(314) -> 315*
    20(208) -> 209*
    20(9) -> 10*
    20(237) -> 238*
    20(138) -> 131*
    20(293) -> 294*
    20(29) -> 30*
    20(339) -> 340*
    20(159) -> 160*
    20(362) -> 363*
    20(134) -> 135*
    20(215) -> 207*
    20(206) -> 199*
    20(52) -> 53*
    20(167) -> 168*
    20(80) -> 328*
    20(8) -> 9*
    20(143) -> 144*
    20(313) -> 314*
    20(91) -> 92*
    20(253) -> 254*
    20(222) -> 216*
    20(365) -> 358*
    20(33) -> 89*
    20(186) -> 187*
    20(25) -> 26*
    20(86) -> 87*
    20(333) -> 334*
    20(252) -> 253*
    20(37) -> 38*
    20(49) -> 50*
    20(210) -> 211*
    20(30) -> 31*
    20(278) -> 271*
    20(212) -> 213*
    20(310) -> 311*
    20(292) -> 293*
    20(169) -> 170*
    20(130) -> 122*
    20(115) -> 116*
    20(74) -> 75*
    51(381) -> 382*
    40(89) -> 264*
    40(44) -> 45*
    40(153) -> 154*
    40(214) -> 215*
    40(233) -> 234*
    40(2) -> 13*
    40(93) -> 94*
    40(10) -> 11*
    40(318) -> 312*
    40(67) -> 68*
    40(297) -> 298*
    40(71) -> 224*
    40(13) -> 80*
    40(325) -> 326*
    40(83) -> 84*
    40(80) -> 81*
    40(349) -> 342*
    40(184) -> 185*
    40(363) -> 364*
    40(221) -> 222*
    40(116) -> 117*
    40(57) -> 58*
    40(276) -> 277*
    40(3) -> 208*
    40(82) -> 83*
    40(18) -> 19*
    40(87) -> 79*
    40(331) -> 332*
    40(56) -> 57*
    40(361) -> 362*
    40(283) -> 284*
    40(149) -> 183*
    40(213) -> 214*
    40(43) -> 320*
    40(338) -> 339*
    40(347) -> 348*
    40(220) -> 221*
    40(353) -> 354*
    40(99) -> 100*
    40(352) -> 353*
    40(34) -> 343*
    40(309) -> 310*
    40(35) -> 36*
    40(205) -> 206*
    40(357) -> 350*
    40(351) -> 352*
    40(108) -> 109*
    40(183) -> 184*
    40(218) -> 219*
    40(26) -> 27*
    40(301) -> 302*
    40(260) -> 261*
    40(100) -> 101*
    40(23) -> 24*
    40(137) -> 138*
    40(33) -> 166*
    40(326) -> 319*
    01(380) -> 381*
    41(383) -> 384*
    41(377) -> 378*
    10(112) -> 113*
    10(141) -> 142*
    10(249) -> 250*
    10(257) -> 258*
    10(209) -> 210*
    10(150) -> 151*
    10(81) -> 82*
    10(25) -> 217*
    10(254) -> 248*
    10(315) -> 316*
    10(17) -> 18*
    10(13) -> 240*
    10(272) -> 273*
    10(323) -> 324*
    10(359) -> 360*
    10(343) -> 344*
    10(103) -> 104*
    10(336) -> 337*
    10(35) -> 313*
    10(28) -> 29*
    10(129) -> 130*
    10(298) -> 299*
    10(316) -> 317*
    10(41) -> 32*
    10(299) -> 300*
    10(2) -> 148*
    10(89) -> 90*
    10(177) -> 178*
    10(43) -> 359*
    10(245) -> 246*
    10(240) -> 241*
    10(144) -> 145*
    10(76) -> 77*
    10(192) -> 193*
    10(306) -> 307*
    10(280) -> 281*
    10(269) -> 270*
    10(251) -> 252*
    10(140) -> 141*
    10(50) -> 42*
    10(23) -> 61*
    10(217) -> 218*
    10(173) -> 165*
    10(277) -> 278*
    10(295) -> 288*
    10(211) -> 212*
    10(202) -> 203*
    10(341) -> 335*
    10(322) -> 323*
    10(270) -> 263*
    10(94) -> 95*
    10(34) -> 98*
    10(268) -> 269*
    10(232) -> 249*
    10(21) -> 12*
    10(172) -> 173*
    10(166) -> 167*
    10(68) -> 60*
    10(273) -> 274*
    10(200) -> 201*
    10(247) -> 239*
    10(185) -> 186*
    10(305) -> 306*
    10(229) -> 230*
    10(156) -> 147*
    10(302) -> 303*
    10(123) -> 124*
    10(70) -> 191*
    10(146) -> 139*
    10(90) -> 91*
    10(235) -> 236*
    10(267) -> 268*
    f60() -> 2*
    327 -> 3*
    312 -> 13,45
    358 -> 3*
    131 -> 148*
    190 -> 3*
    231 -> 70,34
    216 -> 70*
    42 -> 148*
    182 -> 13*
    69 -> 70*
    335 -> 3*
    12 -> 70*
    114 -> 3*
    350 -> 3*
    264 -> 377*
    174 -> 33,71
    288 -> 23*
    105 -> 3*
    22 -> 70*
    88 -> 13*
    207 -> 70*
    248 -> 148,191
    79 -> 13*
    296 -> 33,71
    139 -> 148*
    342 -> 3*
    60 -> 70*
    165 -> 23*
    1 -> 70*
    304 -> 33,14
    255 -> 23*
    319 -> 13,80
    199 -> 3,149
    147 -> 23*
    122 -> 148,191
    97 -> 13*
    387 -> 267*
    51 -> 3*
    271 -> 23,280
    263 -> 23*
    32 -> 148*
    239 -> 148,191
    157 -> 23*
    279 -> 23,43
    223 -> 70,34,305
  problem:
   
  Qed