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)))))))))))))))))))

Proof:
 String Reversal Processor:
  1(2(1(0(x1)))) -> 2(1(0(2(1(0(1(1(2(1(x1))))))))))
  1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))
  1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1))))))))))))))))
  1(2(1(0(x1)))) -> 2(1(0(2(1(0(2(1(0(2(1(0(2(1(0(1(1(2(1(x1)))))))))))))))))))
  Bounds Processor:
   bound: 3
   enrichment: match
   automaton:
    final states: {4}
    transitions:
     23(157) -> 158*
     23(142) -> 143*
     23(154) -> 155*
     23(149) -> 150*
     23(139) -> 140*
     23(134) -> 135*
     23(119) -> 120*
     23(116) -> 117*
     23(111) -> 112*
     21(25) -> 26*
     21(22) -> 23*
     21(17) -> 18*
     13(127) -> 128*
     13(112) -> 113*
     13(144) -> 145*
     13(156) -> 157*
     13(151) -> 152*
     13(141) -> 142*
     13(136) -> 137*
     13(121) -> 122*
     13(153) -> 154*
     13(148) -> 149*
     13(138) -> 139*
     13(133) -> 134*
     13(118) -> 119*
     13(113) -> 114*
     13(150) -> 151*
     13(135) -> 136*
     13(115) -> 116*
     13(110) -> 111*
     11(24) -> 25*
     11(19) -> 20*
     11(21) -> 22*
     11(16) -> 17*
     11(48) -> 49*
     11(33) -> 34*
     11(18) -> 19*
     03(152) -> 153*
     03(137) -> 138*
     03(117) -> 118*
     03(159) -> 160*
     03(129) -> 130*
     03(114) -> 115*
     03(146) -> 147*
     03(155) -> 156*
     03(140) -> 141*
     01(20) -> 21*
     01(27) -> 28*
     01(23) -> 24*
     22(59) -> 60*
     22(76) -> 77*
     22(56) -> 57*
     22(51) -> 52*
     22(73) -> 74*
     22(68) -> 69*
     10(4) -> 4*
     12(75) -> 76*
     12(70) -> 71*
     12(55) -> 56*
     12(50) -> 51*
     12(72) -> 73*
     12(67) -> 68*
     12(52) -> 53*
     12(69) -> 70*
     12(63) -> 64*
     12(58) -> 59*
     12(53) -> 54*
     20(4) -> 4*
     02(65) -> 66*
     02(57) -> 58*
     02(74) -> 75*
     02(54) -> 55*
     02(71) -> 72*
     02(95) -> 96*
     00(4) -> 4*
     4 -> 16*
     20 -> 67*
     23 -> 63,48
     26 -> 17,19,27,4
     27 -> 50,33
     28 -> 24*
     34 -> 17*
     49 -> 17*
     54 -> 144*
     57 -> 127*
     60 -> 64,49,20,34,51,65,17
     64 -> 51*
     65 -> 110*
     66 -> 58*
     71 -> 148*
     74 -> 133*
     77 -> 95,64,49,51
     95 -> 121*
     96 -> 58*
     120 -> 128,111,129,68
     122 -> 111*
     128 -> 111*
     130 -> 118*
     143 -> 146,122
     145 -> 111*
     147 -> 141*
     158 -> 159,134
     160 -> 156*
   problem:
    
   Qed