YES

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

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