YES

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

Proof:
 String Reversal Processor:
  2(1(0(x1))) -> 2(0(3(1(x1))))
  2(1(0(x1))) -> 0(2(1(3(x1))))
  2(1(0(x1))) -> 3(1(4(0(2(x1)))))
  2(1(0(x1))) -> 3(1(2(0(3(x1)))))
  2(1(0(x1))) -> 1(2(0(3(3(x1)))))
  2(1(0(x1))) -> 3(2(0(3(3(1(x1))))))
  2(1(0(x1))) -> 3(1(3(4(0(2(x1))))))
  2(1(0(x1))) -> 2(1(3(1(0(3(x1))))))
  2(1(0(x1))) -> 2(1(3(5(0(3(x1))))))
  2(5(0(x1))) -> 2(0(5(1(x1))))
  2(5(0(x1))) -> 2(0(5(3(x1))))
  2(5(0(x1))) -> 2(1(5(0(3(x1)))))
  2(5(0(x1))) -> 2(0(3(5(3(x1)))))
  2(5(0(x1))) -> 2(0(3(5(5(1(x1))))))
  2(5(0(x1))) -> 2(1(3(4(0(5(x1))))))
  2(5(1(x1))) -> 2(1(3(5(x1))))
  2(5(1(x1))) -> 2(1(3(5(1(x1)))))
  4(5(0(0(x1)))) -> 0(0(4(0(3(5(x1))))))
  1(0(1(0(x1)))) -> 0(3(0(3(1(1(x1))))))
  2(1(1(0(x1)))) -> 2(0(3(1(1(2(x1))))))
  5(2(1(0(x1)))) -> 2(1(5(0(3(x1)))))
  5(2(1(0(x1)))) -> 0(2(1(3(5(3(x1))))))
  2(3(1(0(x1)))) -> 5(3(1(2(0(3(x1))))))
  2(4(1(0(x1)))) -> 2(1(4(0(0(3(x1))))))
  2(4(1(0(x1)))) -> 2(1(3(1(0(4(x1))))))
  4(2(5(0(x1)))) -> 4(2(0(3(5(5(x1))))))
  5(2(5(0(x1)))) -> 5(5(3(2(0(x1)))))
  2(3(5(0(x1)))) -> 5(1(2(0(3(x1)))))
  2(3(5(0(x1)))) -> 2(0(4(1(3(5(x1))))))
  4(3(0(1(x1)))) -> 3(1(4(0(1(x1)))))
  2(3(5(1(x1)))) -> 2(5(3(1(3(x1)))))
  2(1(0(5(x1)))) -> 2(1(4(0(5(1(x1))))))
  2(0(1(5(x1)))) -> 2(0(5(1(3(x1)))))
  2(1(1(5(x1)))) -> 3(1(2(5(3(1(x1))))))
  2(5(1(5(x1)))) -> 2(5(5(3(1(x1)))))
  2(3(1(0(0(x1))))) -> 3(0(2(1(3(0(x1))))))
  2(3(5(0(0(x1))))) -> 5(2(3(0(3(0(x1))))))
  4(3(0(1(0(x1))))) -> 3(0(3(1(0(4(x1))))))
  4(5(0(1(0(x1))))) -> 5(1(0(4(0(3(x1))))))
  4(4(2(1(0(x1))))) -> 4(1(2(1(4(0(x1))))))
  2(3(5(1(0(x1))))) -> 5(4(0(3(2(1(x1))))))
  4(2(4(5(0(x1))))) -> 2(4(0(3(5(4(x1))))))
  2(4(4(5(0(x1))))) -> 2(5(3(4(4(0(x1))))))
  4(3(1(0(1(x1))))) -> 3(0(3(1(1(4(x1))))))
  5(4(3(0(1(x1))))) -> 5(4(0(3(1(2(x1))))))
  2(4(3(1(1(x1))))) -> 4(1(3(1(5(2(x1))))))
  2(2(3(5(1(x1))))) -> 2(1(3(5(3(2(x1))))))
  4(2(5(0(5(x1))))) -> 2(4(0(5(1(5(x1))))))
  2(5(0(1(5(x1))))) -> 5(3(2(0(5(1(x1))))))
  1(2(1(1(5(x1))))) -> 1(1(5(2(1(3(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {186,184,179,174,169,165,160,156,151,146,141,137,135,
                   131,126,124,120,117,114,111,107,104,103,98,93,87,83,
                   82,79,74,69,65,62,59,53,49,46,44,41,38,34,30,27,23,
                   19,15,10,6,1}
    transitions:
     31(190) -> 191*
     31(194) -> 195*
     21(192) -> 193*
     20(119) -> 117*
     20(116) -> 114*
     20(106) -> 104*
     20(5) -> 1*
     20(58) -> 53*
     20(16) -> 17*
     20(78) -> 74*
     20(143) -> 144*
     20(40) -> 38*
     20(183) -> 179*
     20(45) -> 44*
     20(52) -> 49*
     20(33) -> 30*
     20(121) -> 122*
     20(125) -> 124*
     20(86) -> 83*
     20(3) -> 147*
     20(96) -> 97*
     20(178) -> 174*
     20(155) -> 151*
     20(37) -> 34*
     20(61) -> 59*
     20(21) -> 22*
     20(8) -> 9*
     20(159) -> 156*
     20(92) -> 87*
     20(43) -> 41*
     20(25) -> 26*
     20(113) -> 111*
     20(80) -> 81*
     20(99) -> 100*
     20(64) -> 62*
     20(48) -> 46*
     20(133) -> 134*
     20(128) -> 129*
     20(2) -> 11*
     f60() -> 2*
     50(112) -> 113*
     50(150) -> 146*
     50(158) -> 159*
     50(15) -> 82*
     50(39) -> 50*
     50(102) -> 98*
     50(134) -> 131*
     50(101) -> 102*
     50(8) -> 118*
     50(168) -> 165*
     50(3) -> 39*
     50(2) -> 54*
     50(4) -> 121*
     50(11) -> 170*
     50(140) -> 137*
     50(9) -> 187*
     50(54) -> 94*
     50(7) -> 42*
     50(175) -> 176*
     50(18) -> 103*
     50(185) -> 184*
     50(88) -> 152*
     50(16) -> 35*
     50(121) -> 125*
     50(180) -> 181*
     40(2) -> 88*
     40(55) -> 56*
     40(12) -> 13*
     40(173) -> 169*
     40(145) -> 141*
     40(16) -> 138*
     40(40) -> 115*
     40(154) -> 155*
     40(182) -> 183*
     40(149) -> 150*
     40(167) -> 168*
     40(84) -> 85*
     40(66) -> 67*
     40(61) -> 105*
     40(99) -> 142*
     40(97) -> 93*
     40(142) -> 157*
     40(108) -> 109*
     00(16) -> 84*
     00(138) -> 139*
     00(39) -> 40*
     00(68) -> 65*
     00(24) -> 25*
     00(153) -> 154*
     00(4) -> 5*
     00(2) -> 99*
     00(67) -> 68*
     00(71) -> 72*
     00(181) -> 182*
     00(20) -> 21*
     00(127) -> 132*
     00(54) -> 55*
     00(163) -> 164*
     00(9) -> 6*
     00(47) -> 48*
     00(3) -> 108*
     00(88) -> 89*
     00(129) -> 130*
     00(77) -> 78*
     00(60) -> 66*
     00(95) -> 96*
     00(11) -> 12*
     00(105) -> 106*
     00(51) -> 52*
     00(7) -> 16*
     00(118) -> 119*
     00(166) -> 167*
     00(91) -> 136*
     00(42) -> 43*
     00(81) -> 79*
     00(73) -> 69*
     00(148) -> 149*
     10(35) -> 45*
     10(7) -> 8*
     10(22) -> 19*
     10(122) -> 123*
     10(127) -> 128*
     10(75) -> 76*
     10(3) -> 70*
     10(142) -> 143*
     10(170) -> 171*
     10(63) -> 64*
     10(57) -> 58*
     10(17) -> 18*
     10(13) -> 14*
     10(139) -> 140*
     10(54) -> 180*
     10(36) -> 37*
     10(172) -> 173*
     10(11) -> 75*
     10(187) -> 188*
     10(60) -> 61*
     10(91) -> 92*
     10(89) -> 90*
     10(47) -> 80*
     10(85) -> 86*
     10(144) -> 145*
     10(115) -> 116*
     10(28) -> 29*
     10(32) -> 33*
     10(16) -> 31*
     10(88) -> 161*
     10(161) -> 162*
     10(188) -> 186*
     10(177) -> 178*
     10(2) -> 3*
     10(109) -> 110*
     30(132) -> 133*
     30(38) -> 185*
     30(54) -> 60*
     30(152) -> 153*
     30(100) -> 101*
     30(176) -> 177*
     30(164) -> 160*
     30(147) -> 148*
     30(2) -> 7*
     30(14) -> 10*
     30(4) -> 24*
     30(90) -> 91*
     30(13) -> 28*
     30(76) -> 77*
     30(171) -> 172*
     30(42) -> 47*
     30(39) -> 63*
     30(72) -> 73*
     30(75) -> 166*
     30(110) -> 107*
     30(136) -> 135*
     30(94) -> 95*
     30(99) -> 127*
     30(70) -> 71*
     30(18) -> 15*
     30(56) -> 57*
     30(29) -> 27*
     30(8) -> 112*
     30(50) -> 51*
     30(26) -> 23*
     30(123) -> 120*
     30(7) -> 20*
     30(3) -> 4*
     30(157) -> 158*
     30(162) -> 163*
     30(11) -> 175*
     30(35) -> 36*
     30(130) -> 126*
     30(31) -> 32*
     51(191) -> 192*
     11(193) -> 194*
     11(189) -> 190*
     156 -> 11*
     151 -> 88*
     27 -> 11,147
     19 -> 11,147
     195 -> 147*
     74 -> 11,147
     131 -> 11*
     160 -> 88*
     83 -> 11*
     46 -> 11*
     137 -> 88*
     30 -> 11,147
     126 -> 11*
     69 -> 3*
     104 -> 11*
     169 -> 11*
     93 -> 88*
     114 -> 11,147
     117 -> 11,100
     53 -> 11*
     82 -> 11*
     174 -> 11*
     124 -> 11*
     6 -> 11,147
     141 -> 88*
     186 -> 3,75
     79 -> 54,170
     38 -> 11*
     179 -> 88*
     135 -> 88*
     44 -> 54,170,11
     165 -> 54,152
     1 -> 11,147
     49 -> 11*
     62 -> 11*
     107 -> 88*
     65 -> 88*
     34 -> 11,147
     59 -> 11*
     9 -> 189*
     146 -> 11*
     120 -> 11,147
     41 -> 11*
     15 -> 11,147
     10 -> 11,147
     98 -> 54,170
     103 -> 11*
     87 -> 11*
     176 -> 11*
     111 -> 11*
     23 -> 11,147
   problem:
    
   Qed