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: 2
   enrichment: match
   automaton:
    final states: {18,15,12,1}
    transitions:
     f30() -> 2*
     20(20) -> 18*
     20(17) -> 15*
     20(14) -> 12*
     20(11) -> 1*
     20(8) -> 9*
     20(3) -> 4*
     10(10) -> 11*
     10(5) -> 6*
     10(7) -> 8*
     10(2) -> 3*
     10(19) -> 20*
     10(4) -> 5*
     10(16) -> 17*
     10(13) -> 14*
     00(15) -> 19*
     00(12) -> 16*
     00(9) -> 10*
     00(6) -> 7*
     00(1) -> 13*
     21(30) -> 31*
     21(27) -> 28*
     21(22) -> 23*
     21(56) -> 57*
     21(53) -> 54*
     21(48) -> 49*
     11(55) -> 56*
     11(50) -> 51*
     11(122) -> 123*
     11(52) -> 53*
     11(47) -> 48*
     11(49) -> 50*
     11(29) -> 30*
     11(24) -> 25*
     11(126) -> 127*
     11(26) -> 27*
     11(21) -> 22*
     11(118) -> 119*
     11(23) -> 24*
     01(45) -> 46*
     01(25) -> 26*
     01(54) -> 55*
     01(71) -> 72*
     01(51) -> 52*
     01(28) -> 29*
     22(82) -> 83*
     22(79) -> 80*
     22(74) -> 75*
     12(75) -> 76*
     12(97) -> 98*
     12(114) -> 115*
     12(81) -> 82*
     12(76) -> 77*
     12(78) -> 79*
     12(73) -> 74*
     02(80) -> 81*
     02(77) -> 78*
     02(99) -> 100*
     1 -> 118,3,5
     6 -> 47*
     9 -> 21*
     12 -> 122,3,5
     15 -> 126,3,5
     18 -> 3,5
     25 -> 114*
     28 -> 97*
     31 -> 127,123,119,45,6
     45 -> 73*
     46 -> 29*
     57 -> 71,22
     72 -> 55*
     83 -> 98,74,99,48
     98 -> 74*
     100 -> 81*
     115 -> 74*
     119 -> 22*
     123 -> 22*
     127 -> 22*
   problem:
    
   Qed