YES

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

Proof:
 String Reversal Processor:
  1(1(0(x1))) -> 0(2(1(2(1(x1)))))
  1(3(0(x1))) -> 0(2(2(3(1(x1)))))
  1(3(0(x1))) -> 0(2(1(2(3(x1)))))
  1(3(0(x1))) -> 0(2(3(3(3(1(x1))))))
  1(4(0(x1))) -> 4(0(2(1(2(x1)))))
  5(4(0(0(x1)))) -> 4(5(2(0(0(x1)))))
  1(4(1(0(x1)))) -> 1(4(2(2(1(0(x1))))))
  5(4(1(0(x1)))) -> 4(5(2(1(0(4(x1))))))
  1(5(1(0(x1)))) -> 1(0(5(2(2(1(x1))))))
  3(5(1(0(x1)))) -> 1(2(3(5(0(x1)))))
  1(4(2(0(x1)))) -> 4(0(2(3(3(1(x1))))))
  1(4(2(0(x1)))) -> 4(0(2(1(2(4(x1))))))
  5(4(2(0(x1)))) -> 4(0(5(2(2(0(x1))))))
  5(1(3(0(x1)))) -> 3(5(2(1(0(x1)))))
  5(1(3(0(x1)))) -> 4(0(3(5(2(1(x1))))))
  1(5(3(0(x1)))) -> 0(3(5(2(1(x1)))))
  1(5(3(0(x1)))) -> 3(2(1(2(5(0(x1))))))
  5(5(3(0(x1)))) -> 5(5(2(3(0(x1)))))
  1(0(4(0(x1)))) -> 1(0(4(4(0(2(x1))))))
  5(1(4(0(x1)))) -> 4(0(5(2(1(x1)))))
  5(3(4(0(x1)))) -> 4(5(2(3(4(0(x1))))))
  1(5(4(0(x1)))) -> 1(0(4(4(5(2(x1))))))
  5(1(0(3(x1)))) -> 4(5(0(4(1(3(x1))))))
  1(3(0(3(x1)))) -> 0(2(3(3(1(x1)))))
  5(3(0(3(x1)))) -> 3(2(0(5(2(3(x1))))))
  1(0(3(3(x1)))) -> 3(2(2(3(1(0(x1))))))
  1(5(4(3(x1)))) -> 1(2(4(5(2(3(x1))))))
  5(3(1(4(x1)))) -> 4(4(3(5(2(1(x1))))))
  1(5(1(4(x1)))) -> 1(2(1(5(4(4(x1))))))
  5(1(4(4(x1)))) -> 4(5(2(1(4(x1)))))
  5(5(4(1(0(x1))))) -> 5(2(4(1(5(0(x1))))))
  5(4(1(2(0(x1))))) -> 4(5(2(1(0(0(x1))))))
  5(5(1(2(0(x1))))) -> 5(5(2(2(1(0(x1))))))
  1(4(2(4(0(x1))))) -> 4(4(0(2(3(1(x1))))))
  3(4(5(4(0(x1))))) -> 3(4(4(0(5(2(x1))))))
  1(5(1(5(0(x1))))) -> 5(2(1(1(5(0(x1))))))
  5(1(2(5(0(x1))))) -> 4(0(5(5(2(1(x1))))))
  1(4(2(5(0(x1))))) -> 0(2(1(2(5(4(x1))))))
  1(4(1(0(3(x1))))) -> 1(3(1(4(4(0(x1))))))
  1(4(1(0(3(x1))))) -> 1(1(0(2(3(4(x1))))))
  5(5(3(0(3(x1))))) -> 5(0(5(2(3(3(x1))))))
  1(3(5(0(3(x1))))) -> 5(2(3(3(0(1(x1))))))
  1(4(1(0(4(x1))))) -> 1(3(1(0(4(4(x1))))))
  1(5(1(0(4(x1))))) -> 1(4(5(2(1(0(x1))))))
  5(4(2(0(4(x1))))) -> 4(0(5(2(0(4(x1))))))
  1(5(1(1(4(x1))))) -> 1(4(5(2(1(1(x1))))))
  1(4(1(5(4(x1))))) -> 5(1(2(1(4(4(x1))))))
  1(3(2(5(4(x1))))) -> 5(2(2(1(3(4(x1))))))
  1(3(4(5(4(x1))))) -> 4(3(5(2(1(4(x1))))))
  1(3(5(5(4(x1))))) -> 4(5(5(2(3(1(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {192,190,186,182,177,173,171,167,162,157,152,148,143,
                   140,137,133,130,128,124,120,116,111,109,106,102,98,
                   51,93,88,83,81,76,72,68,67,64,62,57,52,49,45,41,35,
                   30,25,20,16,11,7,1}
    transitions:
     40(2) -> 36*
     40(127) -> 124*
     40(33) -> 34*
     40(77) -> 78*
     40(51) -> 49*
     40(134) -> 135*
     40(180) -> 181*
     40(24) -> 20*
     40(131) -> 132*
     40(121) -> 122*
     40(110) -> 109*
     40(176) -> 173*
     40(40) -> 35*
     40(119) -> 116*
     40(194) -> 192*
     40(89) -> 90*
     40(67) -> 64*
     40(90) -> 91*
     40(56) -> 52*
     40(84) -> 149*
     40(36) -> 112*
     40(66) -> 110*
     40(26) -> 84*
     40(94) -> 95*
     40(63) -> 172*
     40(61) -> 57*
     40(82) -> 81*
     40(99) -> 107*
     40(78) -> 79*
     40(135) -> 136*
     40(97) -> 93*
     40(142) -> 140*
     40(132) -> 130*
     40(191) -> 190*
     40(29) -> 25*
     40(87) -> 83*
     11(201) -> 202*
     11(208) -> 209*
     11(243) -> 244*
     11(203) -> 204*
     11(239) -> 240*
     11(219) -> 220*
     11(221) -> 222*
     21(237) -> 238*
     21(222) -> 223*
     21(220) -> 221*
     21(202) -> 203*
     21(209) -> 210*
     21(204) -> 205*
     21(207) -> 208*
     21(231) -> 232*
     00(160) -> 161*
     00(60) -> 61*
     00(154) -> 155*
     00(15) -> 11*
     00(112) -> 168*
     00(23) -> 24*
     00(66) -> 67*
     00(141) -> 142*
     00(6) -> 1*
     00(147) -> 143*
     00(3) -> 163*
     00(89) -> 134*
     00(26) -> 27*
     00(21) -> 77*
     00(43) -> 44*
     00(55) -> 56*
     00(36) -> 37*
     00(19) -> 16*
     00(79) -> 80*
     00(99) -> 100*
     00(95) -> 96*
     00(50) -> 51*
     00(175) -> 176*
     00(10) -> 7*
     00(65) -> 82*
     00(9) -> 131*
     00(91) -> 92*
     00(2) -> 26*
     30(65) -> 66*
     30(101) -> 98*
     30(3) -> 8*
     30(84) -> 85*
     30(63) -> 62*
     30(169) -> 170*
     30(17) -> 18*
     30(163) -> 164*
     30(36) -> 153*
     30(105) -> 102*
     30(8) -> 17*
     30(12) -> 158*
     30(150) -> 151*
     30(164) -> 165*
     30(119) -> 191*
     30(46) -> 47*
     30(136) -> 133*
     30(26) -> 73*
     30(71) -> 68*
     30(31) -> 103*
     30(2) -> 12*
     01(210) -> 211*
     01(205) -> 206*
     01(223) -> 224*
     10(153) -> 187*
     10(12) -> 94*
     10(156) -> 152*
     10(69) -> 70*
     10(168) -> 169*
     10(34) -> 30*
     10(172) -> 171*
     10(2) -> 3*
     10(36) -> 117*
     10(181) -> 177*
     10(4) -> 5*
     10(13) -> 14*
     10(149) -> 150*
     10(145) -> 146*
     10(27) -> 125*
     10(151) -> 148*
     10(113) -> 114*
     10(155) -> 156*
     10(108) -> 106*
     10(170) -> 167*
     10(80) -> 76*
     10(26) -> 31*
     10(21) -> 22*
     10(184) -> 185*
     10(121) -> 138*
     10(48) -> 45*
     10(44) -> 41*
     10(3) -> 178*
     10(112) -> 183*
     10(37) -> 38*
     10(92) -> 88*
     10(46) -> 121*
     10(53) -> 54*
     10(115) -> 111*
     20(22) -> 23*
     20(138) -> 139*
     20(188) -> 189*
     20(153) -> 154*
     20(4) -> 42*
     20(2) -> 21*
     20(122) -> 123*
     20(17) -> 50*
     20(103) -> 104*
     20(5) -> 6*
     20(31) -> 32*
     20(117) -> 118*
     20(27) -> 28*
     20(146) -> 147*
     20(12) -> 13*
     20(54) -> 55*
     20(9) -> 10*
     20(104) -> 105*
     20(47) -> 48*
     20(3) -> 4*
     20(18) -> 19*
     20(36) -> 53*
     20(46) -> 69*
     20(158) -> 159*
     20(187) -> 188*
     20(107) -> 108*
     20(38) -> 39*
     20(32) -> 33*
     20(125) -> 126*
     20(8) -> 9*
     20(178) -> 179*
     20(58) -> 59*
     20(85) -> 86*
     20(37) -> 174*
     20(144) -> 145*
     20(183) -> 184*
     20(14) -> 15*
     20(26) -> 58*
     20(165) -> 166*
     20(70) -> 71*
     20(100) -> 101*
     20(73) -> 74*
     20(114) -> 115*
     41(211) -> 212*
     50(112) -> 113*
     50(159) -> 160*
     50(86) -> 87*
     50(39) -> 40*
     50(13) -> 99*
     50(33) -> 129*
     50(161) -> 157*
     50(28) -> 29*
     50(129) -> 128*
     50(75) -> 72*
     50(36) -> 144*
     50(26) -> 46*
     50(174) -> 175*
     50(4) -> 65*
     50(74) -> 75*
     50(126) -> 127*
     50(42) -> 43*
     50(9) -> 193*
     50(32) -> 63*
     50(139) -> 137*
     50(118) -> 119*
     50(21) -> 89*
     50(166) -> 162*
     50(193) -> 194*
     50(185) -> 182*
     50(189) -> 186*
     50(65) -> 141*
     50(96) -> 97*
     50(123) -> 120*
     50(59) -> 60*
     50(179) -> 180*
     f60() -> 2*
     238 -> 208*
     192 -> 3,94
     43 -> 219*
     148 -> 3,117
     206 -> 152*
     68 -> 3*
     154 -> 201*
     190 -> 3,94,187
     240 -> 220*
     35 -> 144*
     162 -> 3,94
     137 -> 3*
     30 -> 3,117
     182 -> 3,117
     7 -> 3,94
     16 -> 3,94
     106 -> 3*
     45 -> 12*
     212 -> 178*
     244 -> 220*
     232 -> 208*
     11 -> 3,94
     143 -> 3,117
     67 -> 3*
     124 -> 144*
     52 -> 3,117
     88 -> 3*
     171 -> 3*
     173 -> 144*
     186 -> 3,94
     177 -> 3*
     91 -> 243*
     79 -> 239*
     76 -> 3,31,38
     1 -> 3,178
     49 -> 3,117
     224 -> 178*
     20 -> 3,117
     130 -> 3,117
     55 -> 237*
     57 -> 144*
     50 -> 231*
     41 -> 3*
     133 -> 12,153
     167 -> 3,117
     51 -> 3,94
     152 -> 3,117
     102 -> 3,31
     25 -> 144*
     111 -> 3*
     23 -> 207*
   problem:
    
   Qed