YES

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

Proof:
 String Reversal Processor:
  4(2(4(x1))) -> 4(0(2(5(3(3(5(0(0(2(x1))))))))))
  2(4(2(4(4(x1))))) -> 1(0(2(0(4(1(2(5(0(2(x1))))))))))
  3(4(2(4(5(0(x1)))))) -> 0(0(0(3(5(3(5(5(1(5(x1))))))))))
  3(3(5(4(1(1(x1)))))) -> 1(2(2(1(0(3(1(1(3(1(x1))))))))))
  2(1(3(4(1(3(x1)))))) -> 3(0(0(3(2(4(1(1(0(0(x1))))))))))
  1(4(2(4(2(3(x1)))))) -> 3(3(1(3(5(1(1(1(2(0(x1))))))))))
  2(1(4(0(3(3(x1)))))) -> 1(3(5(0(2(0(2(1(5(3(x1))))))))))
  4(5(0(5(4(1(4(x1))))))) -> 0(1(3(5(0(1(3(5(1(4(x1))))))))))
  2(2(4(5(0(4(4(x1))))))) -> 1(4(5(4(4(4(3(4(0(4(x1))))))))))
  3(4(2(3(5(4(5(x1))))))) -> 4(1(0(5(4(0(5(5(5(2(x1))))))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {7}
    transitions:
     41(137) -> 138*
     41(72) -> 73*
     41(204) -> 205*
     41(139) -> 140*
     41(109) -> 110*
     41(271) -> 272*
     41(136) -> 137*
     41(133) -> 134*
     41(33) -> 34*
     41(28) -> 29*
     41(145) -> 146*
     41(135) -> 136*
     11(80) -> 81*
     11(70) -> 71*
     11(60) -> 61*
     11(117) -> 118*
     11(82) -> 83*
     11(269) -> 270*
     11(57) -> 58*
     11(37) -> 38*
     11(32) -> 33*
     11(331) -> 332*
     11(326) -> 327*
     11(261) -> 262*
     11(54) -> 55*
     11(44) -> 45*
     11(353) -> 354*
     11(328) -> 329*
     11(101) -> 102*
     11(81) -> 82*
     11(71) -> 72*
     11(56) -> 57*
     11(208) -> 209*
     11(203) -> 204*
     11(148) -> 149*
     11(113) -> 114*
     11(270) -> 271*
     11(357) -> 358*
     11(327) -> 328*
     11(110) -> 111*
     11(85) -> 86*
     01(282) -> 283*
     01(75) -> 76*
     01(267) -> 268*
     01(50) -> 51*
     01(20) -> 21*
     01(207) -> 208*
     01(354) -> 355*
     01(147) -> 148*
     01(132) -> 133*
     01(274) -> 275*
     01(52) -> 53*
     01(27) -> 28*
     01(381) -> 382*
     01(144) -> 145*
     01(114) -> 115*
     01(69) -> 70*
     01(59) -> 60*
     01(34) -> 35*
     01(383) -> 384*
     01(358) -> 359*
     01(156) -> 157*
     01(76) -> 77*
     01(268) -> 269*
     01(51) -> 52*
     01(36) -> 37*
     01(21) -> 22*
     01(103) -> 104*
     01(275) -> 276*
     01(68) -> 69*
     01(205) -> 206*
     01(155) -> 156*
     01(105) -> 106*
     51(45) -> 46*
     51(30) -> 31*
     51(25) -> 26*
     51(379) -> 380*
     51(157) -> 158*
     51(142) -> 143*
     51(329) -> 330*
     51(22) -> 23*
     51(246) -> 247*
     51(201) -> 202*
     51(348) -> 349*
     51(146) -> 147*
     51(141) -> 142*
     51(111) -> 112*
     51(106) -> 107*
     51(46) -> 47*
     51(395) -> 396*
     51(355) -> 356*
     51(143) -> 144*
     51(138) -> 139*
     51(83) -> 84*
     51(48) -> 49*
     51(43) -> 44*
     51(160) -> 161*
     51(115) -> 116*
     51(100) -> 101*
     21(272) -> 273*
     21(35) -> 36*
     21(202) -> 203*
     21(102) -> 103*
     21(62) -> 63*
     21(154) -> 155*
     21(104) -> 105*
     21(79) -> 80*
     21(19) -> 20*
     21(206) -> 207*
     21(161) -> 162*
     21(61) -> 62*
     21(31) -> 32*
     21(26) -> 27*
     21(350) -> 351*
     21(325) -> 326*
     21(73) -> 74*
     21(377) -> 378*
     31(55) -> 56*
     31(112) -> 113*
     31(107) -> 108*
     31(77) -> 78*
     31(47) -> 48*
     31(159) -> 160*
     31(356) -> 357*
     31(134) -> 135*
     31(99) -> 100*
     31(84) -> 85*
     31(276) -> 277*
     31(74) -> 75*
     31(49) -> 50*
     31(24) -> 25*
     31(333) -> 334*
     31(116) -> 117*
     31(86) -> 87*
     31(273) -> 274*
     31(158) -> 159*
     31(330) -> 331*
     31(58) -> 59*
     31(23) -> 24*
     31(352) -> 353*
     31(332) -> 333*
     40(7) -> 7*
     20(7) -> 7*
     00(7) -> 7*
     50(7) -> 7*
     30(7) -> 7*
     10(7) -> 7*
     7 -> 109,99,68,54,43,19
     20 -> 141*
     21 -> 30*
     28 -> 154*
     29 -> 100,110,132,7
     38 -> 378,100,20,141,7
     44 -> 352*
     45 -> 350*
     52 -> 246*
     53 -> 110,132,100,7
     63 -> 37*
     69 -> 79*
     77 -> 282*
     78 -> 378,55,111,20,141,7
     87 -> 348,77
     100 -> 261*
     107 -> 267*
     108 -> 37*
     109 -> 377*
     110 -> 7,99,54,19,43,68,109,132
     118 -> 52*
     140 -> 37*
     149 -> 28*
     156 -> 201*
     162 -> 52*
     209 -> 378,20,7,99,54,19,43,68,109,141
     247 -> 44*
     262 -> 57*
     276 -> 381*
     277 -> 378,20,7,99,54,19,43,68,109,141
     283 -> 325,268
     333 -> 395,383
     334 -> 55,7,99,54,19,43,68,109,111
     349 -> 101*
     351 -> 103*
     358 -> 379*
     359 -> 110,7,99,54,19,43,68,109,132
     378 -> 20*
     380 -> 44*
     382 -> 69*
     384 -> 69*
     396 -> 44*
   problem:
    
   Qed