YES

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

Proof:
 String Reversal Processor:
  2(1(0(x1))) -> 2(1(3(0(x1))))
  2(1(0(x1))) -> 1(2(0(1(x1))))
  2(1(0(x1))) -> 0(4(1(2(x1))))
  2(1(0(x1))) -> 3(3(1(2(0(x1)))))
  2(1(0(x1))) -> 3(1(4(2(0(x1)))))
  2(1(0(x1))) -> 4(5(2(0(1(x1)))))
  2(1(0(x1))) -> 3(0(1(1(2(x1)))))
  2(1(0(x1))) -> 0(4(3(1(2(x1)))))
  2(1(0(x1))) -> 0(3(4(1(2(x1)))))
  2(1(0(x1))) -> 2(1(3(0(4(x1)))))
  2(1(0(x1))) -> 2(3(0(1(4(x1)))))
  2(1(0(x1))) -> 0(1(2(4(4(x1)))))
  2(1(0(x1))) -> 5(2(1(4(0(0(x1))))))
  2(1(0(x1))) -> 5(2(1(5(4(0(x1))))))
  2(1(0(x1))) -> 4(1(3(2(5(0(x1))))))
  2(1(0(x1))) -> 4(3(2(2(0(1(x1))))))
  2(1(0(x1))) -> 2(3(0(4(1(1(x1))))))
  2(1(0(x1))) -> 1(3(3(0(0(2(x1))))))
  2(1(0(x1))) -> 5(1(4(3(0(2(x1))))))
  2(1(0(x1))) -> 1(4(0(2(3(2(x1))))))
  2(1(0(x1))) -> 1(3(0(3(5(2(x1))))))
  2(1(0(x1))) -> 0(1(3(5(2(3(x1))))))
  2(1(0(x1))) -> 2(1(5(0(4(3(x1))))))
  2(1(0(x1))) -> 0(1(2(4(5(5(x1))))))
  2(1(0(0(x1)))) -> 1(4(2(0(0(x1)))))
  2(1(0(0(x1)))) -> 4(0(5(1(2(0(x1))))))
  2(1(0(0(x1)))) -> 0(5(3(2(0(1(x1))))))
  2(1(0(0(x1)))) -> 0(4(0(2(1(5(x1))))))
  2(5(0(0(x1)))) -> 2(0(3(0(3(5(x1))))))
  0(2(1(0(x1)))) -> 0(0(4(2(1(x1)))))
  0(2(1(0(x1)))) -> 2(0(0(1(4(0(x1))))))
  2(2(1(0(x1)))) -> 2(1(2(0(3(3(x1))))))
  2(5(1(0(x1)))) -> 3(0(1(5(2(x1)))))
  2(5(1(0(x1)))) -> 2(1(3(5(5(0(x1))))))
  2(5(1(0(x1)))) -> 2(2(0(5(3(1(x1))))))
  2(2(5(0(x1)))) -> 2(5(1(2(0(3(x1))))))
  2(1(0(1(x1)))) -> 1(2(1(4(0(x1)))))
  2(1(0(1(x1)))) -> 0(3(1(2(1(x1)))))
  2(1(0(1(x1)))) -> 2(1(4(1(3(0(x1))))))
  2(1(0(1(x1)))) -> 2(0(1(4(1(4(x1))))))
  2(1(0(5(x1)))) -> 5(3(1(2(0(x1)))))
  2(1(0(5(x1)))) -> 5(1(3(0(2(x1)))))
  2(1(0(5(x1)))) -> 2(3(0(1(3(5(x1))))))
  2(1(0(5(x1)))) -> 4(2(0(1(5(5(x1))))))
  2(2(0(1(0(x1))))) -> 2(0(1(2(0(3(x1))))))
  2(5(2(1(0(x1))))) -> 0(2(2(1(5(3(x1))))))
  0(0(3(1(0(x1))))) -> 0(3(1(4(0(0(x1))))))
  2(2(4(1(0(x1))))) -> 2(5(1(4(2(0(x1))))))
  2(2(4(1(0(x1))))) -> 1(1(2(4(2(0(x1))))))
  2(1(0(3(1(x1))))) -> 2(0(1(4(3(1(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {189,186,184,182,177,175,171,167,165,164,160,157,154,
                   152,147,142,138,135,130,126,122,117,112,109,106,103,
                   97,92,86,81,76,72,67,62,59,54,49,44,40,36,31,29,26,
                   23,21,18,14,10,6,1}
    transitions:
     21(198) -> 199*
     01(247) -> 248*
     01(212) -> 213*
     01(207) -> 208*
     01(197) -> 198*
     01(249) -> 250*
     01(239) -> 240*
     01(241) -> 242*
     01(231) -> 232*
     01(233) -> 234*
     01(223) -> 224*
     01(208) -> 209*
     01(225) -> 226*
     01(195) -> 196*
     31(194) -> 195*
     31(211) -> 212*
     31(196) -> 197*
     51(193) -> 194*
     11(210) -> 211*
     41(209) -> 210*
     f60() -> 2*
     20(55) -> 56*
     20(45) -> 104*
     20(35) -> 31*
     20(5) -> 1*
     20(192) -> 189*
     20(132) -> 133*
     20(127) -> 153*
     20(87) -> 88*
     20(77) -> 78*
     20(52) -> 53*
     20(47) -> 48*
     20(7) -> 123*
     20(2) -> 11*
     20(179) -> 180*
     20(159) -> 157*
     20(134) -> 130*
     20(129) -> 126*
     20(39) -> 36*
     20(19) -> 187*
     20(9) -> 60*
     20(176) -> 175*
     20(151) -> 147*
     20(146) -> 142*
     20(141) -> 138*
     20(121) -> 117*
     20(96) -> 92*
     20(66) -> 62*
     20(41) -> 42*
     20(173) -> 174*
     20(163) -> 160*
     20(148) -> 149*
     20(113) -> 114*
     20(8) -> 9*
     20(3) -> 15*
     20(185) -> 184*
     20(180) -> 181*
     20(170) -> 167*
     20(145) -> 146*
     20(100) -> 101*
     10(50) -> 127*
     10(15) -> 16*
     10(187) -> 188*
     10(82) -> 136*
     10(57) -> 58*
     10(42) -> 43*
     10(32) -> 37*
     10(12) -> 24*
     10(7) -> 63*
     10(2) -> 7*
     10(149) -> 150*
     10(99) -> 172*
     10(74) -> 75*
     10(34) -> 35*
     10(19) -> 20*
     10(9) -> 6*
     10(4) -> 5*
     10(161) -> 162*
     10(101) -> 102*
     10(71) -> 67*
     10(51) -> 52*
     10(46) -> 47*
     10(11) -> 12*
     10(188) -> 186*
     10(178) -> 179*
     10(158) -> 159*
     10(153) -> 152*
     10(133) -> 134*
     10(123) -> 155*
     10(118) -> 168*
     10(98) -> 113*
     10(73) -> 166*
     10(190) -> 191*
     10(140) -> 141*
     10(105) -> 103*
     10(95) -> 96*
     10(90) -> 91*
     10(85) -> 81*
     10(80) -> 76*
     30(70) -> 71*
     30(65) -> 66*
     30(60) -> 61*
     30(25) -> 23*
     30(20) -> 18*
     30(137) -> 135*
     30(87) -> 131*
     30(82) -> 83*
     30(47) -> 183*
     30(17) -> 14*
     30(12) -> 27*
     30(7) -> 143*
     30(2) -> 87*
     30(169) -> 170*
     30(139) -> 140*
     30(119) -> 120*
     30(89) -> 90*
     30(84) -> 85*
     30(69) -> 70*
     30(9) -> 110*
     30(56) -> 57*
     30(16) -> 17*
     30(11) -> 77*
     30(98) -> 118*
     30(68) -> 73*
     30(38) -> 39*
     30(33) -> 34*
     30(13) -> 30*
     30(3) -> 4*
     30(155) -> 156*
     00(30) -> 29*
     00(172) -> 173*
     00(162) -> 163*
     00(127) -> 128*
     00(107) -> 108*
     00(102) -> 97*
     00(87) -> 148*
     00(37) -> 38*
     00(32) -> 33*
     00(7) -> 8*
     00(2) -> 3*
     00(144) -> 145*
     00(124) -> 125*
     00(114) -> 115*
     00(64) -> 65*
     00(24) -> 25*
     00(191) -> 192*
     00(181) -> 177*
     00(156) -> 154*
     00(136) -> 137*
     00(131) -> 132*
     00(116) -> 112*
     00(111) -> 109*
     00(91) -> 86*
     00(11) -> 68*
     00(183) -> 182*
     00(168) -> 169*
     00(128) -> 129*
     00(118) -> 119*
     00(93) -> 94*
     00(83) -> 84*
     00(78) -> 79*
     00(68) -> 69*
     00(43) -> 40*
     00(28) -> 26*
     00(13) -> 10*
     00(3) -> 45*
     00(150) -> 176*
     00(125) -> 122*
     00(120) -> 121*
     40(45) -> 46*
     40(15) -> 19*
     40(5) -> 158*
     40(87) -> 93*
     40(37) -> 161*
     40(32) -> 41*
     40(27) -> 28*
     40(22) -> 21*
     40(12) -> 13*
     40(2) -> 32*
     40(174) -> 171*
     40(104) -> 105*
     40(99) -> 100*
     40(79) -> 80*
     40(61) -> 59*
     40(143) -> 190*
     40(123) -> 124*
     40(108) -> 106*
     40(73) -> 74*
     40(63) -> 64*
     40(58) -> 54*
     40(3) -> 50*
     40(115) -> 116*
     50(75) -> 72*
     50(55) -> 139*
     50(50) -> 51*
     50(20) -> 185*
     50(87) -> 178*
     50(17) -> 164*
     50(2) -> 98*
     50(94) -> 95*
     50(9) -> 22*
     50(166) -> 165*
     50(16) -> 107*
     50(11) -> 82*
     50(143) -> 144*
     50(98) -> 99*
     50(88) -> 89*
     50(53) -> 49*
     50(48) -> 44*
     50(3) -> 55*
     50(150) -> 151*
     50(110) -> 111*
     1 -> 11,123
     6 -> 11,123
     10 -> 11,123
     13 -> 249*
     14 -> 11,123
     18 -> 11,123
     21 -> 11,123
     23 -> 11,123
     26 -> 11,123
     28 -> 247*
     29 -> 11,123
     30 -> 207*
     31 -> 11,123
     36 -> 11,123
     40 -> 11,123
     43 -> 241*
     44 -> 11,123
     49 -> 11,123
     54 -> 11,123
     59 -> 11,123
     62 -> 11,123
     67 -> 11,123
     72 -> 11,123
     76 -> 11,123
     81 -> 11,123
     86 -> 11,123
     91 -> 239*
     92 -> 11,123
     97 -> 11,123
     102 -> 223*
     103 -> 11,123
     106 -> 11,123
     109 -> 11,123
     111 -> 233*
     112 -> 11,123
     116 -> 231*
     117 -> 11,56
     122 -> 3,68
     124 -> 193*
     126 -> 3,68
     130 -> 11*
     135 -> 11*
     138 -> 11*
     142 -> 11*
     147 -> 11*
     152 -> 11,123
     154 -> 11,123
     156 -> 225*
     157 -> 11,123
     160 -> 11,123
     164 -> 11,123
     165 -> 11,123
     167 -> 11,123
     171 -> 11,123
     175 -> 11,60
     177 -> 11*
     182 -> 3,45
     184 -> 11*
     186 -> 11*
     189 -> 11,123
     199 -> 56*
     213 -> 209,68
     224 -> 208*
     226 -> 208*
     232 -> 208*
     234 -> 208*
     240 -> 208*
     242 -> 208*
     248 -> 208*
     250 -> 208*
   problem:
    
   Qed