YES

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {159,156,155,151,147,142,137,133,127,126,123,121,120,
                  118,115,111,109,105,104,99,96,91,90,86,83,81,77,73,
                  71,67,61,58,54,51,50,44,40,36,31,30,25,20,18,16,11,
                  9,7,1}
   transitions:
    30(2) -> 45*
    30(12) -> 13*
    30(37) -> 116*
    30(80) -> 77*
    30(3) -> 143*
    30(119) -> 118*
    30(52) -> 53*
    30(15) -> 110*
    30(107) -> 108*
    30(39) -> 36*
    30(162) -> 159*
    30(56) -> 57*
    30(7) -> 50*
    30(4) -> 8*
    30(128) -> 129*
    30(27) -> 28*
    30(136) -> 133*
    30(117) -> 155*
    30(141) -> 137*
    30(153) -> 154*
    30(5) -> 17*
    30(78) -> 124*
    30(112) -> 113*
    30(21) -> 22*
    30(19) -> 18*
    01(192) -> 193*
    01(181) -> 182*
    01(169) -> 170*
    01(199) -> 200*
    01(179) -> 180*
    31(189) -> 190*
    31(205) -> 206*
    31(170) -> 171*
    00(68) -> 69*
    00(88) -> 89*
    00(106) -> 107*
    00(145) -> 146*
    00(5) -> 6*
    00(59) -> 119*
    00(34) -> 35*
    00(143) -> 144*
    00(85) -> 104*
    00(75) -> 76*
    00(42) -> 43*
    00(45) -> 100*
    00(101) -> 102*
    00(7) -> 82*
    00(130) -> 131*
    00(94) -> 95*
    00(140) -> 141*
    00(14) -> 15*
    00(6) -> 1*
    00(84) -> 85*
    00(17) -> 16*
    00(3) -> 4*
    00(38) -> 39*
    00(26) -> 27*
    00(63) -> 87*
    00(24) -> 20*
    00(113) -> 114*
    00(64) -> 65*
    00(49) -> 90*
    00(10) -> 9*
    00(134) -> 135*
    00(117) -> 115*
    00(56) -> 122*
    00(46) -> 47*
    00(149) -> 150*
    00(2) -> 12*
    40(22) -> 23*
    40(5) -> 10*
    40(3) -> 32*
    40(53) -> 51*
    40(66) -> 120*
    40(116) -> 117*
    40(57) -> 54*
    40(13) -> 41*
    40(139) -> 157*
    40(108) -> 105*
    40(55) -> 56*
    40(60) -> 58*
    40(114) -> 111*
    40(8) -> 7*
    40(85) -> 83*
    40(28) -> 29*
    40(103) -> 99*
    40(110) -> 109*
    40(26) -> 112*
    40(124) -> 125*
    40(21) -> 160*
    40(2) -> 62*
    41(171) -> 172*
    20(12) -> 68*
    20(2) -> 3*
    20(139) -> 140*
    20(63) -> 64*
    20(13) -> 14*
    20(62) -> 63*
    20(70) -> 72*
    20(59) -> 60*
    20(93) -> 94*
    20(32) -> 33*
    20(98) -> 96*
    20(45) -> 46*
    20(33) -> 34*
    20(3) -> 26*
    20(92) -> 106*
    20(74) -> 75*
    51(183) -> 184*
    10(52) -> 59*
    10(157) -> 158*
    10(138) -> 139*
    10(68) -> 134*
    10(4) -> 5*
    10(2) -> 128*
    10(5) -> 19*
    10(48) -> 49*
    10(102) -> 103*
    10(12) -> 92*
    10(69) -> 70*
    10(97) -> 98*
    10(47) -> 84*
    10(3) -> 21*
    10(87) -> 88*
    10(29) -> 25*
    10(46) -> 148*
    10(129) -> 130*
    10(152) -> 153*
    10(79) -> 80*
    10(95) -> 91*
    10(45) -> 74*
    10(37) -> 38*
    10(144) -> 145*
    10(78) -> 79*
    10(41) -> 42*
    10(26) -> 55*
    10(100) -> 101*
    10(23) -> 24*
    10(148) -> 149*
    10(65) -> 66*
    11(190) -> 191*
    11(182) -> 183*
    21(180) -> 181*
    21(185) -> 186*
    21(168) -> 169*
    21(191) -> 192*
    50(160) -> 161*
    50(150) -> 147*
    50(154) -> 151*
    50(158) -> 156*
    50(15) -> 11*
    50(47) -> 48*
    50(161) -> 162*
    50(35) -> 31*
    50(122) -> 121*
    50(26) -> 78*
    50(3) -> 138*
    50(89) -> 86*
    50(43) -> 40*
    50(82) -> 81*
    50(49) -> 44*
    50(4) -> 52*
    50(76) -> 73*
    50(66) -> 61*
    50(92) -> 93*
    50(125) -> 123*
    50(7) -> 30*
    50(21) -> 37*
    50(68) -> 152*
    50(72) -> 71*
    50(87) -> 97*
    50(16) -> 126*
    50(135) -> 136*
    50(132) -> 127*
    50(131) -> 132*
    50(70) -> 67*
    50(146) -> 142*
    f60() -> 2*
    206 -> 190*
    83 -> 12*
    115 -> 12*
    30 -> 12*
    126 -> 93*
    7 -> 12,100
    104 -> 12,100,144
    16 -> 12*
    118 -> 12*
    11 -> 12*
    2 -> 168*
    67 -> 93*
    105 -> 12,100
    54 -> 62*
    109 -> 12,100
    121 -> 62*
    172 -> 144*
    186 -> 183*
    36 -> 12*
    58 -> 62*
    91 -> 12*
    86 -> 12*
    38 -> 189*
    44 -> 12*
    183 -> 185*
    13 -> 62*
    127 -> 93*
    71 -> 93*
    123 -> 62*
    40 -> 12*
    1 -> 12*
    31 -> 12*
    99 -> 12,100
    193 -> 183*
    20 -> 12*
    90 -> 12*
    59 -> 205*
    5 -> 179*
    9 -> 12*
    184 -> 93*
    120 -> 62*
    18 -> 12*
    84 -> 199*
    96 -> 12*
    51 -> 62*
    61 -> 62*
    200 -> 180*
    25 -> 12*
    111 -> 12,100
  problem:
   
  Qed