YES

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

Proof:
 String Reversal Processor:
  1(4(5(x1))) -> 4(3(2(0(1(1(1(5(5(2(x1))))))))))
  3(1(1(4(x1)))) -> 3(3(0(2(0(4(1(5(4(4(x1))))))))))
  3(1(4(4(x1)))) -> 3(2(3(3(5(5(4(1(1(5(x1))))))))))
  4(1(4(0(0(x1))))) -> 4(2(4(1(3(0(1(1(3(3(x1))))))))))
  2(4(0(5(0(x1))))) -> 5(4(3(2(3(3(5(3(0(0(x1))))))))))
  0(4(3(4(2(x1))))) -> 3(2(3(0(5(5(2(2(5(2(x1))))))))))
  4(3(2(4(4(x1))))) -> 4(1(1(1(3(3(5(4(2(2(x1))))))))))
  0(3(4(2(5(x1))))) -> 0(0(4(5(2(3(2(5(5(2(x1))))))))))
  1(0(2(0(0(0(x1)))))) -> 1(0(4(1(3(1(3(5(3(3(x1))))))))))
  2(3(1(0(2(1(x1)))))) -> 3(0(1(3(2(1(2(3(0(2(x1))))))))))
  5(3(4(5(3(1(x1)))))) -> 5(1(0(1(5(1(1(3(3(1(x1))))))))))
  2(1(0(1(4(1(x1)))))) -> 2(5(4(3(3(5(1(3(0(1(x1))))))))))
  5(5(3(4(2(3(x1)))))) -> 5(4(5(4(4(1(5(5(5(3(x1))))))))))
  5(0(2(3(4(3(x1)))))) -> 5(3(3(1(3(3(5(3(3(2(x1))))))))))
  2(0(5(5(5(3(x1)))))) -> 0(1(3(3(0(0(1(5(3(3(x1))))))))))
  1(0(3(4(0(5(x1)))))) -> 1(2(1(1(1(5(2(1(3(0(x1))))))))))
  4(2(3(4(5(5(x1)))))) -> 4(3(2(1(2(5(2(2(4(5(x1))))))))))
  1(2(5(0(2(0(0(x1))))))) -> 1(2(5(5(3(2(5(3(4(0(x1))))))))))
  2(1(2(4(3(1(0(x1))))))) -> 2(2(5(2(1(3(0(2(1(0(x1))))))))))
  3(4(4(1(4(1(0(x1))))))) -> 3(2(5(0(2(1(1(0(1(0(x1))))))))))
  1(4(3(1(1(5(0(x1))))))) -> 3(5(5(1(3(2(0(2(2(0(x1))))))))))
  0(1(4(0(1(3(1(x1))))))) -> 0(1(3(0(0(3(3(3(3(1(x1))))))))))
  1(2(1(0(2(3(1(x1))))))) -> 3(1(5(2(4(4(2(4(2(5(x1))))))))))
  2(1(4(4(5(3(1(x1))))))) -> 2(2(2(2(3(2(0(5(0(2(x1))))))))))
  0(5(2(0(0(4(1(x1))))))) -> 0(5(0(1(2(2(2(3(0(1(x1))))))))))
  2(4(1(5(1(0(2(x1))))))) -> 5(0(4(2(1(2(5(5(2(2(x1))))))))))
  0(3(4(0(4(0(2(x1))))))) -> 3(0(3(2(5(4(3(3(1(3(x1))))))))))
  0(0(0(1(4(0(3(x1))))))) -> 0(3(1(5(5(4(5(3(2(5(x1))))))))))
  4(3(0(3(4(0(3(x1))))))) -> 4(0(3(2(3(0(1(3(5(3(x1))))))))))
  3(2(4(4(0(4(3(x1))))))) -> 0(5(4(1(1(5(4(4(2(3(x1))))))))))
  1(1(4(1(4(4(3(x1))))))) -> 1(0(0(3(1(2(3(0(2(4(x1))))))))))
  0(5(1(4(0(5(3(x1))))))) -> 3(3(0(3(4(5(0(1(3(2(x1))))))))))
  3(5(5(5(0(5(3(x1))))))) -> 0(3(5(4(1(0(4(5(3(3(x1))))))))))
  5(1(0(2(5(1(4(x1))))))) -> 5(0(0(0(3(3(2(4(5(2(x1))))))))))
  2(4(2(1(0(3(4(x1))))))) -> 5(2(2(3(0(1(1(3(3(4(x1))))))))))
  3(4(4(1(4(3(4(x1))))))) -> 2(2(1(3(1(3(3(3(4(1(x1))))))))))
  2(4(0(2(4(0(5(x1))))))) -> 2(4(2(5(5(1(0(2(2(5(x1))))))))))
  0(5(5(2(4(0(5(x1))))))) -> 3(2(0(0(3(2(1(3(3(0(x1))))))))))
  1(4(0(2(1(4(5(x1))))))) -> 3(5(5(4(3(2(2(4(5(4(x1))))))))))
  Bounds Processor:
   bound: 0
   enrichment: match
   automaton:
    final states: {329,321,313,304,295,287,280,272,263,254,246,238,229,
                   221,214,206,197,190,181,173,164,155,146,137,130,121,
                   112,103,93,84,76,69,60,52,42,32,22,12,1}
    transitions:
     10(168) -> 169*
     10(243) -> 244*
     10(258) -> 259*
     10(2) -> 94*
     10(105) -> 106*
     10(322) -> 323*
     10(204) -> 205*
     10(315) -> 316*
     10(115) -> 116*
     10(259) -> 260*
     10(174) -> 175*
     10(23) -> 24*
     10(33) -> 230*
     10(38) -> 39*
     10(77) -> 131*
     10(126) -> 127*
     10(24) -> 25*
     10(247) -> 248*
     10(175) -> 176*
     10(138) -> 139*
     10(163) -> 155*
     10(310) -> 311*
     10(195) -> 196*
     10(34) -> 35*
     10(65) -> 66*
     10(224) -> 225*
     10(308) -> 309*
     10(217) -> 218*
     10(80) -> 81*
     10(35) -> 36*
     10(298) -> 299*
     10(145) -> 137*
     10(267) -> 268*
     10(271) -> 263*
     10(83) -> 76*
     10(15) -> 16*
     10(67) -> 68*
     10(90) -> 91*
     10(6) -> 7*
     10(43) -> 165*
     10(7) -> 8*
     10(96) -> 97*
     10(66) -> 67*
     10(297) -> 298*
     10(282) -> 283*
     10(141) -> 142*
     10(122) -> 273*
     10(5) -> 6*
     10(151) -> 152*
     10(99) -> 100*
     10(78) -> 79*
     10(135) -> 136*
     10(97) -> 98*
     10(142) -> 143*
     10(186) -> 187*
     10(101) -> 102*
     10(143) -> 144*
     10(87) -> 88*
     40(119) -> 120*
     40(116) -> 117*
     40(68) -> 60*
     40(200) -> 201*
     40(13) -> 14*
     40(77) -> 281*
     40(283) -> 284*
     40(109) -> 110*
     40(253) -> 246*
     40(16) -> 17*
     40(41) -> 32*
     40(226) -> 227*
     40(154) -> 146*
     40(73) -> 74*
     40(319) -> 320*
     40(201) -> 202*
     40(39) -> 40*
     40(240) -> 241*
     40(81) -> 82*
     40(94) -> 305*
     40(23) -> 147*
     40(198) -> 199*
     40(256) -> 257*
     40(11) -> 1*
     40(334) -> 335*
     40(61) -> 62*
     40(4) -> 288*
     40(43) -> 156*
     40(25) -> 26*
     40(255) -> 256*
     40(232) -> 233*
     40(260) -> 261*
     40(50) -> 51*
     40(117) -> 118*
     40(275) -> 276*
     40(330) -> 331*
     40(2) -> 13*
     00(196) -> 190*
     00(94) -> 104*
     00(248) -> 249*
     00(43) -> 44*
     00(75) -> 69*
     00(264) -> 265*
     00(252) -> 253*
     00(3) -> 85*
     00(166) -> 167*
     00(314) -> 315*
     00(299) -> 300*
     00(131) -> 132*
     00(262) -> 254*
     00(236) -> 237*
     00(17) -> 18*
     00(273) -> 274*
     00(56) -> 57*
     00(281) -> 282*
     00(183) -> 184*
     00(277) -> 278*
     00(36) -> 37*
     00(270) -> 271*
     00(207) -> 208*
     00(91) -> 92*
     00(8) -> 9*
     00(325) -> 326*
     00(220) -> 214*
     00(245) -> 238*
     00(286) -> 280*
     00(165) -> 174*
     00(218) -> 219*
     00(100) -> 101*
     00(292) -> 293*
     00(136) -> 130*
     00(192) -> 193*
     00(291) -> 292*
     00(293) -> 294*
     00(19) -> 20*
     00(193) -> 194*
     00(227) -> 228*
     00(326) -> 327*
     00(74) -> 75*
     00(177) -> 178*
     00(269) -> 270*
     00(82) -> 83*
     00(132) -> 133*
     00(2) -> 43*
     20(331) -> 332*
     20(152) -> 153*
     20(216) -> 217*
     20(172) -> 164*
     20(266) -> 267*
     20(176) -> 177*
     20(223) -> 224*
     20(147) -> 148*
     20(213) -> 206*
     20(23) -> 198*
     20(2) -> 3*
     20(139) -> 140*
     20(40) -> 41*
     20(182) -> 183*
     20(43) -> 182*
     20(250) -> 251*
     20(202) -> 203*
     20(225) -> 226*
     20(327) -> 328*
     20(4) -> 53*
     20(5) -> 70*
     20(318) -> 319*
     20(88) -> 89*
     20(13) -> 264*
     20(171) -> 172*
     20(148) -> 149*
     20(320) -> 313*
     20(71) -> 72*
     20(302) -> 303*
     20(179) -> 180*
     20(198) -> 314*
     20(208) -> 209*
     20(9) -> 10*
     20(332) -> 333*
     20(199) -> 200*
     20(18) -> 19*
     20(311) -> 312*
     20(288) -> 289*
     20(111) -> 103*
     20(165) -> 166*
     20(215) -> 216*
     20(323) -> 324*
     20(150) -> 151*
     20(184) -> 185*
     20(48) -> 49*
     20(312) -> 304*
     20(58) -> 59*
     20(33) -> 255*
     20(86) -> 87*
     20(3) -> 61*
     20(105) -> 215*
     20(144) -> 145*
     20(158) -> 159*
     20(210) -> 211*
     20(30) -> 31*
     20(301) -> 302*
     20(234) -> 235*
     20(162) -> 163*
     20(212) -> 213*
     20(169) -> 170*
     20(53) -> 54*
     20(211) -> 212*
     30(333) -> 334*
     30(89) -> 90*
     30(198) -> 239*
     30(138) -> 322*
     30(44) -> 45*
     30(237) -> 229*
     30(153) -> 154*
     30(290) -> 291*
     30(2) -> 33*
     30(10) -> 11*
     30(122) -> 123*
     30(296) -> 297*
     30(133) -> 134*
     30(31) -> 22*
     30(21) -> 12*
     30(13) -> 296*
     30(20) -> 21*
     30(49) -> 50*
     30(337) -> 329*
     30(328) -> 321*
     30(127) -> 128*
     30(189) -> 181*
     30(305) -> 306*
     30(300) -> 301*
     30(180) -> 173*
     30(94) -> 95*
     30(128) -> 129*
     30(96) -> 191*
     30(191) -> 192*
     30(285) -> 286*
     30(235) -> 236*
     30(57) -> 58*
     30(113) -> 247*
     30(104) -> 105*
     30(324) -> 325*
     30(64) -> 65*
     30(276) -> 277*
     30(47) -> 48*
     30(249) -> 250*
     30(3) -> 122*
     30(28) -> 29*
     30(29) -> 30*
     30(268) -> 269*
     30(46) -> 47*
     30(185) -> 186*
     30(209) -> 210*
     30(92) -> 84*
     30(194) -> 195*
     30(77) -> 78*
     30(79) -> 80*
     30(107) -> 108*
     30(43) -> 138*
     30(134) -> 135*
     30(307) -> 308*
     30(231) -> 232*
     30(167) -> 168*
     30(265) -> 266*
     30(95) -> 96*
     30(125) -> 126*
     30(309) -> 310*
     30(205) -> 197*
     30(278) -> 279*
     30(156) -> 157*
     30(85) -> 86*
     30(108) -> 109*
     30(230) -> 231*
     30(37) -> 38*
     30(159) -> 160*
     30(59) -> 52*
     30(289) -> 290*
     30(251) -> 252*
     30(63) -> 64*
     30(279) -> 272*
     30(306) -> 307*
     30(70) -> 71*
     30(124) -> 125*
     30(33) -> 34*
     30(244) -> 245*
     50(257) -> 258*
     50(203) -> 204*
     50(160) -> 161*
     50(51) -> 42*
     50(219) -> 220*
     50(187) -> 188*
     50(178) -> 179*
     50(106) -> 107*
     50(294) -> 287*
     50(102) -> 93*
     50(13) -> 330*
     50(33) -> 113*
     50(110) -> 111*
     50(161) -> 162*
     50(149) -> 150*
     50(336) -> 337*
     50(129) -> 121*
     50(27) -> 28*
     50(170) -> 171*
     50(316) -> 317*
     50(45) -> 46*
     50(26) -> 27*
     50(3) -> 4*
     50(228) -> 221*
     50(2) -> 23*
     50(113) -> 114*
     50(239) -> 240*
     50(14) -> 15*
     50(4) -> 5*
     50(241) -> 242*
     50(85) -> 207*
     50(62) -> 63*
     50(140) -> 141*
     50(222) -> 223*
     50(114) -> 115*
     50(242) -> 243*
     50(61) -> 222*
     50(54) -> 55*
     50(188) -> 189*
     50(120) -> 112*
     50(98) -> 99*
     50(34) -> 77*
     50(157) -> 158*
     50(118) -> 119*
     50(55) -> 56*
     50(317) -> 318*
     50(72) -> 73*
     50(233) -> 234*
     50(335) -> 336*
     50(261) -> 262*
     50(123) -> 124*
     50(284) -> 285*
     50(274) -> 275*
     50(303) -> 295*
     f60() -> 2*
     238 -> 43,44
     155 -> 94*
     321 -> 43*
     254 -> 33,122
     206 -> 3*
     164 -> 3*
     190 -> 43,104
     137 -> 94,165
     42 -> 3,264
     69 -> 43*
     295 -> 3,264
     112 -> 23,114
     12 -> 33,95
     93 -> 23,113
     313 -> 3,264
     22 -> 33,95
     52 -> 43*
     121 -> 23,207
     173 -> 33,296
     76 -> 94,165
     197 -> 94*
     60 -> 13*
     287 -> 23*
     1 -> 94*
     246 -> 13*
     304 -> 33,296
     130 -> 3,182
     146 -> 13,256
     84 -> 3,255
     181 -> 94*
     229 -> 43*
     214 -> 43*
     103 -> 3,166
     263 -> 94*
     32 -> 13,305
     280 -> 33*
     221 -> 3,264
     329 -> 94*
     272 -> 43*
   problem:
    
   Qed