YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {195,190,187,184,179,176,171,169,166,162,158,154,151,
                  148,143,138,135,133,129,125,121,116,112,107,102,99,
                  97,93,89,85,80,75,70,67,62,57,54,48,44,40,39,35,32,
                  28,23,19,14,10,6,1}
   transitions:
    51(323) -> 324*
    51(317) -> 318*
    51(272) -> 273*
    51(209) -> 210*
    51(385) -> 386*
    51(388) -> 389*
    51(399) -> 400*
    51(337) -> 338*
    51(403) -> 404*
    01(353) -> 354*
    01(233) -> 234*
    01(370) -> 371*
    01(222) -> 223*
    01(383) -> 384*
    01(354) -> 355*
    01(280) -> 281*
    01(219) -> 220*
    01(205) -> 206*
    01(207) -> 208*
    01(321) -> 322*
    01(400) -> 401*
    01(300) -> 301*
    01(237) -> 238*
    01(250) -> 251*
    00(194) -> 190*
    00(72) -> 73*
    00(106) -> 102*
    00(185) -> 186*
    00(5) -> 1*
    00(78) -> 79*
    00(41) -> 42*
    00(186) -> 184*
    00(73) -> 74*
    00(12) -> 113*
    00(172) -> 173*
    00(22) -> 19*
    00(101) -> 99*
    00(52) -> 53*
    00(165) -> 162*
    00(15) -> 29*
    00(137) -> 135*
    00(130) -> 131*
    00(139) -> 140*
    00(81) -> 82*
    00(94) -> 95*
    00(53) -> 48*
    00(118) -> 119*
    00(100) -> 101*
    00(11) -> 122*
    00(3) -> 117*
    00(150) -> 148*
    00(26) -> 27*
    00(61) -> 57*
    00(8) -> 9*
    00(71) -> 86*
    00(189) -> 187*
    00(24) -> 103*
    00(110) -> 111*
    00(146) -> 147*
    00(128) -> 125*
    00(65) -> 66*
    00(117) -> 126*
    00(56) -> 54*
    00(177) -> 178*
    00(18) -> 14*
    00(167) -> 168*
    00(157) -> 154*
    00(2) -> 11*
    f60() -> 2*
    50(51) -> 55*
    50(136) -> 137*
    50(47) -> 98*
    50(115) -> 112*
    50(103) -> 104*
    50(170) -> 169*
    50(30) -> 134*
    50(3) -> 144*
    50(2) -> 49*
    50(174) -> 175*
    50(4) -> 94*
    50(182) -> 183*
    50(11) -> 108*
    50(5) -> 136*
    50(140) -> 141*
    50(120) -> 116*
    50(98) -> 97*
    50(175) -> 171*
    50(24) -> 25*
    50(60) -> 61*
    50(87) -> 88*
    50(90) -> 91*
    40(2) -> 24*
    40(55) -> 56*
    40(127) -> 128*
    40(76) -> 77*
    40(51) -> 52*
    40(95) -> 96*
    40(145) -> 188*
    40(159) -> 160*
    40(149) -> 150*
    40(161) -> 158*
    40(20) -> 21*
    40(43) -> 40*
    40(7) -> 81*
    40(4) -> 155*
    40(1) -> 39*
    40(36) -> 37*
    40(11) -> 12*
    40(152) -> 185*
    40(122) -> 123*
    40(46) -> 47*
    40(192) -> 193*
    40(47) -> 44*
    40(42) -> 68*
    30(24) -> 63*
    30(4) -> 5*
    30(141) -> 142*
    30(2) -> 15*
    30(119) -> 120*
    30(71) -> 72*
    30(117) -> 118*
    30(49) -> 163*
    30(15) -> 16*
    30(83) -> 84*
    30(12) -> 33*
    30(96) -> 93*
    30(3) -> 41*
    30(131) -> 132*
    30(92) -> 89*
    30(77) -> 78*
    30(43) -> 170*
    30(11) -> 36*
    30(132) -> 129*
    30(45) -> 90*
    30(178) -> 176*
    30(58) -> 59*
    30(7) -> 71*
    30(156) -> 157*
    30(108) -> 109*
    30(86) -> 87*
    30(160) -> 196*
    30(147) -> 143*
    30(183) -> 179*
    30(76) -> 167*
    20(7) -> 8*
    20(81) -> 100*
    20(3) -> 139*
    20(145) -> 146*
    20(49) -> 50*
    20(38) -> 35*
    20(180) -> 181*
    20(168) -> 166*
    20(84) -> 80*
    20(79) -> 75*
    20(63) -> 64*
    20(17) -> 18*
    20(13) -> 10*
    20(64) -> 65*
    20(134) -> 133*
    20(11) -> 180*
    20(105) -> 106*
    20(191) -> 192*
    20(123) -> 124*
    20(91) -> 92*
    20(164) -> 165*
    20(34) -> 32*
    20(24) -> 172*
    20(59) -> 60*
    20(4) -> 130*
    20(88) -> 85*
    20(193) -> 194*
    20(113) -> 114*
    20(152) -> 153*
    20(188) -> 189*
    20(74) -> 70*
    20(159) -> 177*
    20(21) -> 22*
    20(45) -> 46*
    20(82) -> 83*
    20(31) -> 28*
    20(25) -> 26*
    20(2) -> 3*
    20(109) -> 110*
    10(153) -> 151*
    10(12) -> 13*
    10(104) -> 105*
    10(69) -> 67*
    10(2) -> 7*
    10(163) -> 164*
    10(160) -> 161*
    10(36) -> 152*
    10(124) -> 121*
    10(181) -> 182*
    10(117) -> 159*
    10(196) -> 195*
    10(126) -> 127*
    10(42) -> 43*
    10(15) -> 20*
    10(27) -> 23*
    10(9) -> 6*
    10(68) -> 69*
    10(155) -> 156*
    10(142) -> 138*
    10(114) -> 115*
    10(111) -> 107*
    10(29) -> 30*
    10(8) -> 149*
    10(50) -> 51*
    10(24) -> 58*
    10(66) -> 62*
    10(33) -> 34*
    10(7) -> 191*
    10(3) -> 4*
    10(144) -> 145*
    10(37) -> 38*
    10(49) -> 76*
    10(30) -> 31*
    10(173) -> 174*
    10(11) -> 45*
    10(16) -> 17*
    21(336) -> 337*
    21(218) -> 219*
    21(258) -> 259*
    21(304) -> 305*
    21(340) -> 341*
    21(389) -> 390*
    21(230) -> 231*
    21(236) -> 237*
    21(318) -> 319*
    21(204) -> 205*
    21(221) -> 222*
    21(371) -> 372*
    21(253) -> 254*
    41(320) -> 321*
    41(271) -> 272*
    41(324) -> 325*
    41(401) -> 402*
    41(369) -> 370*
    41(269) -> 270*
    41(348) -> 349*
    41(366) -> 367*
    41(305) -> 306*
    41(251) -> 252*
    41(291) -> 292*
    11(301) -> 302*
    11(268) -> 269*
    11(319) -> 320*
    11(334) -> 335*
    11(257) -> 258*
    11(303) -> 304*
    11(252) -> 253*
    11(365) -> 366*
    11(235) -> 236*
    11(238) -> 239*
    11(231) -> 232*
    11(281) -> 282*
    11(349) -> 350*
    11(220) -> 221*
    31(352) -> 353*
    31(372) -> 373*
    31(256) -> 257*
    31(283) -> 284*
    31(367) -> 368*
    31(387) -> 388*
    31(299) -> 300*
    31(232) -> 233*
    31(206) -> 207*
    31(289) -> 290*
    31(223) -> 224*
    31(335) -> 336*
    31(255) -> 256*
    31(208) -> 209*
    31(339) -> 340*
    31(384) -> 385*
    31(351) -> 352*
    355 -> 253*
    151 -> 7,45
    166 -> 49,108
    70 -> 11*
    210 -> 122*
    19 -> 11*
    195 -> 7,20,152
    259 -> 233*
    320 -> 323*
    148 -> 7,45
    254 -> 122*
    154 -> 7,45
    190 -> 11*
    48 -> 11*
    256 -> 280,268
    231 -> 299*
    158 -> 7,45
    35 -> 11*
    162 -> 49,108
    290 -> 251*
    234 -> 291,122
    282 -> 252*
    236 -> 369,351
    169 -> 49,108
    112 -> 11,122
    85 -> 11*
    12 -> 11*
    306 -> 403,291
    63 -> 218*
    93 -> 11*
    373 -> 253*
    14 -> 11*
    318 -> 365*
    252 -> 283*
    284 -> 252*
    232 -> 399*
    28 -> 11*
    301 -> 348*
    143 -> 11*
    350 -> 238*
    67 -> 11*
    368 -> 354*
    270 -> 258*
    292 -> 122*
    386 -> 253*
    75 -> 11*
    54 -> 11*
    116 -> 11,122
    404 -> 209*
    302 -> 291*
    6 -> 11*
    171 -> 49,108
    121 -> 11*
    138 -> 11*
    251 -> 303,289
    125 -> 11*
    179 -> 11*
    402 -> 223*
    135 -> 11*
    44 -> 11*
    390 -> 223*
    123 -> 317,271,255,250,235,230
    40 -> 11*
    1 -> 11*
    62 -> 11*
    107 -> 11,122
    224 -> 122*
    304 -> 387*
    99 -> 11,122
    325 -> 233*
    59 -> 204*
    341 -> 236*
    187 -> 11*
    57 -> 11*
    184 -> 11*
    133 -> 11*
    352 -> 383*
    129 -> 11*
    97 -> 11*
    273 -> 236*
    10 -> 11*
    80 -> 11*
    338 -> 233*
    89 -> 11*
    32 -> 11*
    102 -> 11,122
    176 -> 11*
    322 -> 233*
    239 -> 122*
    23 -> 11*
    272 -> 339,334
  problem:
   
  Qed