YES

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

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