YES

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

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