YES

Problem:
 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1))))))))))
 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1)))))))))))))
 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))
 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))
 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1))))))))))))))))))))))
 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(0(1(2(x1)))))))))))))))))))))))))

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {40,33,26,19,12,1}
   transitions:
    11(65) -> 66*
    11(197) -> 198*
    11(192) -> 193*
    11(142) -> 143*
    11(137) -> 138*
    11(117) -> 118*
    11(67) -> 68*
    11(62) -> 63*
    11(194) -> 195*
    11(189) -> 190*
    11(169) -> 170*
    11(119) -> 120*
    11(114) -> 115*
    11(64) -> 65*
    11(59) -> 60*
    11(171) -> 172*
    11(166) -> 167*
    11(116) -> 117*
    11(111) -> 112*
    11(91) -> 92*
    11(168) -> 169*
    11(163) -> 164*
    11(143) -> 144*
    11(93) -> 94*
    11(88) -> 89*
    11(195) -> 196*
    11(145) -> 146*
    11(140) -> 141*
    11(90) -> 91*
    11(85) -> 86*
    21(207) -> 208*
    21(162) -> 163*
    21(147) -> 148*
    21(92) -> 93*
    21(87) -> 88*
    21(219) -> 220*
    21(199) -> 200*
    21(144) -> 145*
    21(139) -> 140*
    21(84) -> 85*
    21(69) -> 70*
    21(211) -> 212*
    21(196) -> 197*
    21(191) -> 192*
    21(136) -> 137*
    21(121) -> 122*
    21(66) -> 67*
    21(61) -> 62*
    21(203) -> 204*
    21(188) -> 189*
    21(173) -> 174*
    21(118) -> 119*
    21(113) -> 114*
    21(58) -> 59*
    21(215) -> 216*
    21(170) -> 171*
    21(165) -> 166*
    21(110) -> 111*
    21(95) -> 96*
    01(60) -> 61*
    01(167) -> 168*
    01(112) -> 113*
    01(164) -> 165*
    01(89) -> 90*
    01(141) -> 142*
    01(86) -> 87*
    01(193) -> 194*
    01(138) -> 139*
    01(63) -> 64*
    01(190) -> 191*
    01(115) -> 116*
    f30() -> 2*
    10(30) -> 31*
    10(25) -> 19*
    10(20) -> 21*
    10(15) -> 16*
    10(37) -> 38*
    10(32) -> 26*
    10(27) -> 28*
    10(22) -> 23*
    10(44) -> 45*
    10(39) -> 33*
    10(34) -> 35*
    10(29) -> 30*
    10(9) -> 10*
    10(46) -> 40*
    10(41) -> 42*
    10(36) -> 37*
    10(16) -> 17*
    10(11) -> 1*
    10(6) -> 7*
    10(43) -> 44*
    10(23) -> 24*
    10(18) -> 12*
    10(13) -> 14*
    10(8) -> 9*
    10(3) -> 4*
    20(45) -> 46*
    20(15) -> 20*
    20(10) -> 11*
    20(5) -> 6*
    20(22) -> 27*
    20(17) -> 18*
    20(2) -> 3*
    20(29) -> 34*
    20(24) -> 25*
    20(36) -> 41*
    20(31) -> 32*
    20(38) -> 39*
    20(8) -> 13*
    00(35) -> 36*
    00(42) -> 43*
    00(7) -> 8*
    00(14) -> 15*
    00(4) -> 5*
    00(21) -> 22*
    00(28) -> 29*
    1 -> 5*
    11 -> 58*
    12 -> 5*
    18 -> 203*
    19 -> 5*
    25 -> 207*
    26 -> 5*
    32 -> 211*
    33 -> 5*
    39 -> 215*
    40 -> 5*
    46 -> 219*
    64 -> 69*
    67 -> 84*
    68 -> 8*
    70 -> 62*
    90 -> 95*
    93 -> 110*
    94 -> 15*
    96 -> 88*
    116 -> 121*
    119 -> 136*
    120 -> 22*
    122 -> 114*
    142 -> 147*
    145 -> 162*
    146 -> 29*
    148 -> 140*
    168 -> 173*
    171 -> 188*
    172 -> 36*
    174 -> 166*
    194 -> 199*
    198 -> 43*
    200 -> 192*
    204 -> 59*
    208 -> 59*
    212 -> 59*
    216 -> 59*
    220 -> 59*
  problem:
   
  Qed