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)))))))))))))))))))))))))
 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(0(1(2(x1))))))))))))))))))))))))))))

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {47,40,33,26,19,12,1}
   transitions:
    11(227) -> 228*
    11(222) -> 223*
    11(202) -> 203*
    11(152) -> 153*
    11(147) -> 148*
    11(97) -> 98*
    11(92) -> 93*
    11(72) -> 73*
    11(204) -> 205*
    11(199) -> 200*
    11(149) -> 150*
    11(144) -> 145*
    11(124) -> 125*
    11(74) -> 75*
    11(69) -> 70*
    11(201) -> 202*
    11(196) -> 197*
    11(176) -> 177*
    11(126) -> 127*
    11(121) -> 122*
    11(71) -> 72*
    11(66) -> 67*
    11(228) -> 229*
    11(178) -> 179*
    11(173) -> 174*
    11(123) -> 124*
    11(118) -> 119*
    11(98) -> 99*
    11(230) -> 231*
    11(225) -> 226*
    11(175) -> 176*
    11(170) -> 171*
    11(150) -> 151*
    11(100) -> 101*
    11(95) -> 96*
    21(65) -> 66*
    21(252) -> 253*
    21(232) -> 233*
    21(177) -> 178*
    21(172) -> 173*
    21(117) -> 118*
    21(102) -> 103*
    21(244) -> 245*
    21(229) -> 230*
    21(224) -> 225*
    21(169) -> 170*
    21(154) -> 155*
    21(99) -> 100*
    21(94) -> 95*
    21(256) -> 257*
    21(236) -> 237*
    21(221) -> 222*
    21(206) -> 207*
    21(151) -> 152*
    21(146) -> 147*
    21(91) -> 92*
    21(76) -> 77*
    21(248) -> 249*
    21(203) -> 204*
    21(198) -> 199*
    21(143) -> 144*
    21(128) -> 129*
    21(73) -> 74*
    21(68) -> 69*
    21(240) -> 241*
    21(195) -> 196*
    21(180) -> 181*
    21(125) -> 126*
    21(120) -> 121*
    01(70) -> 71*
    01(197) -> 198*
    01(122) -> 123*
    01(67) -> 68*
    01(174) -> 175*
    01(119) -> 120*
    01(226) -> 227*
    01(171) -> 172*
    01(96) -> 97*
    01(223) -> 224*
    01(148) -> 149*
    01(93) -> 94*
    01(200) -> 201*
    01(145) -> 146*
    f30() -> 2*
    10(50) -> 51*
    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(51) -> 52*
    10(46) -> 40*
    10(41) -> 42*
    10(36) -> 37*
    10(16) -> 17*
    10(11) -> 1*
    10(6) -> 7*
    10(53) -> 47*
    10(48) -> 49*
    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(52) -> 53*
    20(22) -> 27*
    20(17) -> 18*
    20(2) -> 3*
    20(29) -> 34*
    20(24) -> 25*
    20(36) -> 41*
    20(31) -> 32*
    20(43) -> 48*
    20(38) -> 39*
    20(8) -> 13*
    00(35) -> 36*
    00(42) -> 43*
    00(7) -> 8*
    00(49) -> 50*
    00(14) -> 15*
    00(4) -> 5*
    00(21) -> 22*
    00(28) -> 29*
    1 -> 5*
    11 -> 65*
    12 -> 5*
    18 -> 236*
    19 -> 5*
    25 -> 240*
    26 -> 5*
    32 -> 244*
    33 -> 5*
    39 -> 248*
    40 -> 5*
    46 -> 252*
    47 -> 5*
    53 -> 256*
    71 -> 76*
    74 -> 91*
    75 -> 8*
    77 -> 69*
    97 -> 102*
    100 -> 117*
    101 -> 15*
    103 -> 95*
    123 -> 128*
    126 -> 143*
    127 -> 22*
    129 -> 121*
    149 -> 154*
    152 -> 169*
    153 -> 29*
    155 -> 147*
    175 -> 180*
    178 -> 195*
    179 -> 36*
    181 -> 173*
    201 -> 206*
    204 -> 221*
    205 -> 43*
    207 -> 199*
    227 -> 232*
    231 -> 50*
    233 -> 225*
    237 -> 66*
    241 -> 66*
    245 -> 66*
    249 -> 66*
    253 -> 66*
    257 -> 66*
  problem:
   
  Qed