YES

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

Proof:
 String Reversal Processor:
  2(1(0(x1))) -> 1(2(0(0(x1))))
  2(1(0(x1))) -> 3(1(2(0(x1))))
  2(1(0(x1))) -> 1(3(2(0(x1))))
  4(1(0(x1))) -> 0(0(1(1(4(0(x1))))))
  2(3(0(x1))) -> 3(2(0(0(x1))))
  2(3(0(x1))) -> 1(3(2(0(x1))))
  4(3(0(x1))) -> 3(4(0(0(x1))))
  5(4(0(x1))) -> 5(1(4(0(0(x1)))))
  1(0(2(x1))) -> 1(1(2(0(x1))))
  1(4(2(x1))) -> 1(3(2(4(0(x1)))))
  2(3(4(x1))) -> 1(3(2(4(x1))))
  1(0(1(0(x1)))) -> 1(1(3(0(0(x1)))))
  2(0(1(0(x1)))) -> 1(1(1(2(0(0(x1))))))
  2(4(1(0(x1)))) -> 1(1(2(4(0(x1)))))
  4(2(3(0(x1)))) -> 0(3(2(4(0(x1)))))
  2(4(3(0(x1)))) -> 1(3(2(4(0(x1)))))
  2(5(3(0(x1)))) -> 5(3(1(2(0(x1)))))
  3(5(4(0(x1)))) -> 5(3(4(0(0(x1)))))
  4(3(5(0(x1)))) -> 5(3(3(4(0(x1)))))
  2(4(5(0(x1)))) -> 5(1(2(4(0(x1)))))
  1(3(0(2(x1)))) -> 1(1(2(3(0(x1)))))
  1(4(2(2(x1)))) -> 1(3(2(2(4(x1)))))
  3(4(3(2(x1)))) -> 3(3(4(0(3(2(x1))))))
  1(1(4(2(x1)))) -> 1(1(4(0(2(x1)))))
  3(1(4(2(x1)))) -> 1(2(3(4(0(x1)))))
  2(3(4(2(x1)))) -> 3(2(4(0(2(x1)))))
  3(4(5(2(x1)))) -> 5(3(2(4(0(x1)))))
  3(0(2(4(x1)))) -> 3(4(0(3(2(x1)))))
  3(4(3(4(x1)))) -> 3(4(0(3(4(x1)))))
  2(3(5(1(0(x1))))) -> 1(2(3(0(5(0(x1))))))
  2(4(5(1(0(x1))))) -> 3(4(0(1(2(5(x1))))))
  5(4(5(1(0(x1))))) -> 5(5(2(1(4(0(x1))))))
  3(4(2(2(0(x1))))) -> 2(0(3(4(0(2(x1))))))
  5(4(0(3(0(x1))))) -> 2(3(4(0(0(5(x1))))))
  3(4(2(3(0(x1))))) -> 2(4(3(3(4(0(x1))))))
  4(5(2(4(0(x1))))) -> 4(5(1(2(4(0(x1))))))
  1(2(3(5(0(x1))))) -> 5(3(1(3(2(0(x1))))))
  4(1(4(5(0(x1))))) -> 0(5(1(4(0(4(x1))))))
  3(5(1(4(2(x1))))) -> 2(5(3(1(4(0(x1))))))
  1(0(2(4(2(x1))))) -> 4(0(2(1(1(2(x1))))))
  1(4(3(5(2(x1))))) -> 2(3(4(0(1(5(x1))))))
  4(5(1(0(4(x1))))) -> 5(1(4(0(0(4(x1))))))
  3(2(0(3(4(x1))))) -> 3(1(3(2(4(0(x1))))))
  3(2(1(4(4(x1))))) -> 1(3(2(4(4(0(x1))))))
  2(0(1(5(4(x1))))) -> 5(1(2(4(0(1(x1))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {123,119,118,114,109,104,101,96,94,93,91,86,83,80,74,
                   69,65,55,64,62,60,56,50,47,43,42,39,38,37,36,34,32,
                   29,25,22,21,19,17,16,11,9,6,1}
    transitions:
     40(2) -> 26*
     40(111) -> 112*
     40(12) -> 120*
     40(115) -> 116*
     40(57) -> 58*
     40(3) -> 12*
     40(67) -> 68*
     40(41) -> 92*
     40(4) -> 18*
     40(53) -> 54*
     40(88) -> 89*
     40(78) -> 79*
     40(97) -> 98*
     40(42) -> 93*
     40(108) -> 104*
     40(125) -> 126*
     21(210) -> 211*
     21(141) -> 142*
     21(171) -> 172*
     21(157) -> 158*
     21(176) -> 177*
     21(191) -> 192*
     21(196) -> 197*
     21(153) -> 154*
     21(136) -> 137*
     31(211) -> 212*
     31(197) -> 198*
     31(142) -> 143*
     31(177) -> 178*
     31(172) -> 173*
     31(154) -> 155*
     31(158) -> 159*
     31(192) -> 193*
     31(137) -> 138*
     10(122) -> 119*
     10(116) -> 117*
     10(13) -> 14*
     10(5) -> 1*
     10(58) -> 59*
     10(31) -> 29*
     10(59) -> 56*
     10(73) -> 69*
     10(12) -> 13*
     10(75) -> 110*
     10(127) -> 128*
     10(45) -> 46*
     10(35) -> 34*
     10(33) -> 32*
     10(7) -> 8*
     10(1) -> 33*
     10(23) -> 35*
     10(76) -> 77*
     10(61) -> 60*
     10(8) -> 21*
     10(24) -> 22*
     10(30) -> 31*
     10(98) -> 99*
     10(105) -> 106*
     10(49) -> 47*
     10(10) -> 9*
     10(28) -> 25*
     10(46) -> 43*
     10(18) -> 20*
     10(51) -> 105*
     10(2) -> 124*
     30(7) -> 10*
     30(22) -> 118*
     30(5) -> 16*
     30(40) -> 41*
     30(3) -> 44*
     30(121) -> 122*
     30(79) -> 74*
     30(63) -> 62*
     30(13) -> 102*
     30(54) -> 55*
     30(23) -> 24*
     30(27) -> 28*
     30(18) -> 17*
     30(68) -> 65*
     30(9) -> 95*
     30(55) -> 50*
     30(89) -> 90*
     30(8) -> 6*
     30(12) -> 40*
     30(112) -> 113*
     30(4) -> 30*
     30(48) -> 49*
     30(51) -> 52*
     30(58) -> 84*
     30(71) -> 72*
     30(26) -> 66*
     11(155) -> 156*
     11(173) -> 174*
     11(193) -> 194*
     11(178) -> 179*
     11(159) -> 160*
     11(198) -> 199*
     11(212) -> 213*
     00(100) -> 96*
     00(2) -> 3*
     00(14) -> 15*
     00(124) -> 125*
     00(107) -> 108*
     00(97) -> 115*
     00(15) -> 11*
     00(75) -> 87*
     00(110) -> 111*
     00(84) -> 85*
     00(70) -> 71*
     00(52) -> 53*
     00(87) -> 88*
     00(26) -> 97*
     00(24) -> 36*
     00(77) -> 78*
     00(66) -> 67*
     00(3) -> 4*
     00(51) -> 57*
     01(135) -> 136*
     01(139) -> 140*
     01(140) -> 141*
     01(134) -> 135*
     20(44) -> 45*
     20(4) -> 5*
     20(2) -> 51*
     20(103) -> 101*
     20(13) -> 81*
     20(27) -> 48*
     20(72) -> 73*
     20(12) -> 23*
     20(113) -> 109*
     20(40) -> 61*
     20(3) -> 7*
     20(75) -> 76*
     20(90) -> 86*
     20(92) -> 91*
     20(120) -> 121*
     20(58) -> 63*
     20(85) -> 83*
     20(26) -> 27*
     20(126) -> 127*
     20(106) -> 107*
     41(205) -> 206*
     41(190) -> 191*
     41(209) -> 210*
     41(170) -> 171*
     41(175) -> 176*
     41(195) -> 196*
     50(81) -> 82*
     50(17) -> 38*
     50(102) -> 103*
     50(35) -> 42*
     50(41) -> 39*
     50(3) -> 70*
     50(2) -> 75*
     50(82) -> 80*
     50(117) -> 114*
     50(6) -> 37*
     50(95) -> 94*
     50(24) -> 64*
     50(128) -> 123*
     50(20) -> 19*
     50(99) -> 100*
     f60() -> 2*
     156 -> 73*
     94 -> 124,105
     56 -> 124*
     70 -> 134*
     194 -> 109*
     43 -> 124*
     19 -> 75*
     74 -> 51,27
     206 -> 157*
     160 -> 45*
     47 -> 124*
     17 -> 26*
     83 -> 66*
     64 -> 66*
     42 -> 51,27
     69 -> 51*
     104 -> 124*
     140 -> 157*
     93 -> 26*
     114 -> 26*
     16 -> 51*
     28 -> 159,10
     4 -> 195*
     11 -> 26*
     2 -> 139*
     53 -> 205*
     143 -> 45*
     174 -> 61*
     22 -> 51,27,124
     88 -> 175*
     109 -> 124*
     6 -> 51*
     138 -> 73*
     21 -> 124*
     36 -> 26*
     91 -> 66*
     86 -> 75*
     179 -> 86*
     135 -> 153*
     123 -> 51,158,7
     1 -> 51*
     62 -> 51*
     55 -> 44*
     199 -> 27*
     65 -> 66*
     34 -> 51,27
     37 -> 51,76
     9 -> 51*
     213 -> 48*
     50 -> 66*
     3 -> 170*
     39 -> 26*
     119 -> 52*
     96 -> 26*
     80 -> 75*
     29 -> 124*
     32 -> 51,158,7
     25 -> 51*
     111 -> 190*
     78 -> 209*
   problem:
    
   Qed