YES

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

Proof:
 String Reversal Processor:
  5(2(x1)) -> 3(1(0(0(1(4(0(0(4(2(x1))))))))))
  5(2(x1)) -> 3(4(1(2(2(2(0(3(4(2(x1))))))))))
  0(5(1(x1))) -> 1(1(0(4(0(4(4(4(4(1(x1))))))))))
  5(3(2(x1))) -> 1(2(2(1(5(1(0(0(4(2(x1))))))))))
  5(5(2(x1))) -> 4(3(3(3(0(4(0(3(0(2(x1))))))))))
  4(5(4(x1))) -> 4(2(5(4(1(2(1(1(1(4(x1))))))))))
  4(0(3(2(x1)))) -> 4(4(2(0(3(1(1(0(0(2(x1))))))))))
  0(1(5(5(x1)))) -> 4(0(4(3(1(5(0(2(2(3(x1))))))))))
  5(2(5(1(3(x1))))) -> 2(5(0(0(2(1(4(2(0(3(x1))))))))))
  2(3(4(5(2(0(x1)))))) -> 2(1(2(1(0(2(5(1(2(0(x1))))))))))
  4(3(2(5(0(1(x1)))))) -> 3(0(1(4(0(3(1(0(0(1(x1))))))))))
  3(2(0(5(1(1(x1)))))) -> 3(2(2(1(1(1(5(4(0(0(x1))))))))))
  2(3(0(0(1(2(x1)))))) -> 2(3(0(3(0(0(3(4(1(2(x1))))))))))
  5(5(5(0(5(2(x1)))))) -> 5(5(3(5(0(4(2(1(0(2(x1))))))))))
  1(2(0(3(5(2(x1)))))) -> 1(2(5(2(1(2(5(4(1(2(x1))))))))))
  5(5(4(0(5(3(x1)))))) -> 3(3(0(2(5(4(3(0(4(3(x1))))))))))
  2(4(3(2(0(4(x1)))))) -> 2(2(0(3(4(1(3(0(0(4(x1))))))))))
  0(1(5(5(2(5(x1)))))) -> 4(1(0(2(4(0(4(4(5(5(x1))))))))))
  5(0(3(2(4(5(x1)))))) -> 1(3(1(4(3(4(5(4(5(5(x1))))))))))
  5(1(1(1(5(5(x1)))))) -> 1(4(1(0(1(1(0(1(0(5(x1))))))))))
  0(5(5(2(5(5(x1)))))) -> 0(1(4(4(3(5(2(5(4(3(x1))))))))))
  4(5(5(4(5(5(x1)))))) -> 4(0(4(3(4(5(5(2(2(2(x1))))))))))
  5(2(5(5(5(5(x1)))))) -> 5(4(2(3(4(1(1(3(2(2(x1))))))))))
  5(0(5(5(0(4(1(x1))))))) -> 3(3(5(1(4(0(3(3(4(1(x1))))))))))
  5(2(1(5(3(2(2(x1))))))) -> 5(2(3(3(0(4(2(1(2(2(x1))))))))))
  5(5(3(3(2(4(3(x1))))))) -> 5(0(4(4(2(0(4(2(3(5(x1))))))))))
  5(5(4(3(5(2(4(x1))))))) -> 0(1(1(4(0(5(2(5(1(5(x1))))))))))
  4(2(4(5(5(2(4(x1))))))) -> 0(3(0(1(2(0(2(3(5(5(x1))))))))))
  2(3(2(4(5(5(4(x1))))))) -> 2(4(2(1(5(3(5(1(1(4(x1))))))))))
  Bounds Processor:
   bound: 1
   enrichment: match
   automaton:
    final states: {245,237,228,219,211,203,195,186,178,169,162,152,143,
                   134,127,119,110,101,92,82,73,63,55,45,36,30,20,12,
                   1}
    transitions:
     41(253) -> 254*
     41(440) -> 441*
     41(416) -> 417*
     41(376) -> 377*
     41(330) -> 331*
     41(445) -> 446*
     41(473) -> 474*
     41(297) -> 298*
     41(256) -> 257*
     41(590) -> 591*
     41(384) -> 385*
     41(286) -> 287*
     41(530) -> 531*
     41(533) -> 534*
     41(527) -> 528*
     41(482) -> 483*
     41(289) -> 290*
     41(521) -> 522*
     41(479) -> 480*
     41(585) -> 586*
     41(536) -> 537*
     41(300) -> 301*
     41(341) -> 342*
     41(333) -> 334*
     41(450) -> 451*
     41(498) -> 499*
     41(574) -> 575*
     41(344) -> 345*
     41(408) -> 409*
     41(560) -> 561*
     51(503) -> 504*
     51(528) -> 529*
     51(480) -> 481*
     30(69) -> 70*
     30(153) -> 220*
     30(115) -> 116*
     30(148) -> 149*
     30(199) -> 200*
     30(145) -> 146*
     30(210) -> 203*
     30(58) -> 59*
     30(109) -> 101*
     30(187) -> 196*
     30(41) -> 42*
     30(209) -> 210*
     30(243) -> 244*
     30(142) -> 134*
     30(154) -> 238*
     30(42) -> 43*
     30(22) -> 204*
     30(112) -> 113*
     30(216) -> 217*
     30(136) -> 137*
     30(141) -> 142*
     30(100) -> 92*
     30(11) -> 1*
     30(164) -> 165*
     30(181) -> 182*
     30(37) -> 38*
     30(124) -> 125*
     30(4) -> 13*
     30(43) -> 44*
     30(215) -> 216*
     30(19) -> 12*
     30(246) -> 247*
     30(191) -> 192*
     30(95) -> 96*
     30(204) -> 205*
     30(117) -> 118*
     30(167) -> 168*
     30(2) -> 64*
     f60() -> 2*
     50(112) -> 128*
     50(153) -> 154*
     50(67) -> 68*
     50(52) -> 53*
     50(208) -> 209*
     50(103) -> 104*
     50(231) -> 232*
     50(2) -> 153*
     50(218) -> 211*
     50(80) -> 81*
     50(85) -> 86*
     50(126) -> 119*
     50(202) -> 195*
     50(125) -> 126*
     50(188) -> 189*
     50(227) -> 219*
     50(247) -> 248*
     50(155) -> 163*
     50(189) -> 190*
     50(229) -> 230*
     50(48) -> 246*
     50(135) -> 179*
     50(180) -> 181*
     50(123) -> 124*
     50(131) -> 132*
     50(138) -> 139*
     50(31) -> 32*
     20(200) -> 201*
     20(2) -> 3*
     20(187) -> 188*
     20(91) -> 82*
     20(130) -> 131*
     20(212) -> 213*
     20(33) -> 34*
     20(64) -> 65*
     20(77) -> 78*
     20(179) -> 180*
     20(150) -> 151*
     20(81) -> 73*
     20(34) -> 35*
     20(158) -> 159*
     20(65) -> 66*
     20(240) -> 241*
     20(74) -> 75*
     20(217) -> 218*
     20(3) -> 187*
     20(16) -> 17*
     20(14) -> 15*
     20(251) -> 245*
     20(249) -> 250*
     20(49) -> 50*
     20(83) -> 84*
     20(15) -> 16*
     20(89) -> 90*
     20(139) -> 140*
     20(107) -> 108*
     20(220) -> 221*
     20(118) -> 110*
     20(128) -> 129*
     20(60) -> 61*
     20(230) -> 231*
     20(53) -> 54*
     20(86) -> 87*
     20(151) -> 143*
     20(223) -> 224*
     20(120) -> 121*
     20(132) -> 133*
     20(238) -> 239*
     20(108) -> 109*
     10(68) -> 69*
     10(153) -> 229*
     10(2) -> 21*
     10(10) -> 11*
     10(17) -> 18*
     10(133) -> 127*
     10(48) -> 49*
     10(94) -> 95*
     10(146) -> 147*
     10(50) -> 51*
     10(248) -> 249*
     10(196) -> 197*
     10(184) -> 185*
     10(235) -> 236*
     10(57) -> 58*
     10(104) -> 105*
     10(234) -> 235*
     10(175) -> 176*
     10(172) -> 173*
     10(47) -> 48*
     10(3) -> 111*
     10(28) -> 29*
     10(29) -> 20*
     10(197) -> 198*
     10(90) -> 91*
     10(46) -> 47*
     10(88) -> 89*
     10(56) -> 57*
     10(129) -> 130*
     10(187) -> 212*
     10(6) -> 31*
     10(32) -> 33*
     10(168) -> 162*
     10(105) -> 106*
     10(84) -> 85*
     10(35) -> 30*
     10(207) -> 208*
     10(173) -> 174*
     10(7) -> 8*
     10(166) -> 167*
     10(37) -> 120*
     10(160) -> 161*
     10(76) -> 77*
     10(170) -> 171*
     10(177) -> 169*
     10(241) -> 242*
     10(106) -> 107*
     10(98) -> 99*
     40(22) -> 23*
     40(194) -> 186*
     40(75) -> 76*
     40(3) -> 4*
     40(206) -> 207*
     40(121) -> 122*
     40(39) -> 40*
     40(221) -> 222*
     40(182) -> 183*
     40(62) -> 55*
     40(250) -> 251*
     40(97) -> 98*
     40(137) -> 138*
     40(64) -> 135*
     40(54) -> 45*
     40(154) -> 155*
     40(23) -> 24*
     40(163) -> 164*
     40(183) -> 184*
     40(18) -> 19*
     40(176) -> 177*
     40(61) -> 62*
     40(190) -> 191*
     40(198) -> 199*
     40(70) -> 71*
     40(233) -> 234*
     40(165) -> 166*
     40(224) -> 225*
     40(24) -> 25*
     40(192) -> 193*
     40(147) -> 148*
     40(44) -> 36*
     40(157) -> 158*
     40(201) -> 202*
     40(51) -> 52*
     40(26) -> 27*
     40(225) -> 226*
     40(102) -> 103*
     40(6) -> 7*
     40(161) -> 152*
     40(155) -> 156*
     40(21) -> 22*
     40(2) -> 46*
     40(213) -> 214*
     40(111) -> 112*
     40(72) -> 63*
     00(232) -> 233*
     00(153) -> 170*
     00(38) -> 39*
     00(226) -> 227*
     00(156) -> 157*
     00(242) -> 243*
     00(185) -> 178*
     00(2) -> 83*
     00(122) -> 123*
     00(40) -> 41*
     00(116) -> 117*
     00(4) -> 5*
     00(5) -> 6*
     00(13) -> 14*
     00(205) -> 206*
     00(214) -> 215*
     00(171) -> 172*
     00(149) -> 150*
     00(71) -> 72*
     00(236) -> 228*
     00(96) -> 97*
     00(79) -> 80*
     00(27) -> 28*
     00(99) -> 100*
     00(83) -> 102*
     00(59) -> 60*
     00(9) -> 10*
     00(113) -> 114*
     00(64) -> 74*
     00(114) -> 115*
     00(140) -> 141*
     00(159) -> 160*
     00(87) -> 88*
     00(135) -> 136*
     00(8) -> 9*
     00(93) -> 94*
     00(21) -> 93*
     00(66) -> 67*
     00(222) -> 223*
     00(25) -> 26*
     00(3) -> 37*
     00(193) -> 194*
     00(174) -> 175*
     00(144) -> 145*
     00(37) -> 56*
     00(78) -> 79*
     00(46) -> 144*
     00(239) -> 240*
     00(244) -> 237*
     11(522) -> 523*
     11(301) -> 302*
     11(293) -> 294*
     11(383) -> 384*
     11(537) -> 538*
     11(499) -> 500*
     11(474) -> 475*
     11(260) -> 261*
     11(304) -> 305*
     11(526) -> 527*
     11(476) -> 477*
     11(345) -> 346*
     11(524) -> 525*
     11(257) -> 258*
     11(523) -> 524*
     11(337) -> 338*
     11(375) -> 376*
     11(478) -> 479*
     11(439) -> 440*
     11(290) -> 291*
     11(475) -> 476*
     11(334) -> 335*
     11(407) -> 408*
     11(559) -> 560*
     11(348) -> 349*
     11(540) -> 541*
     11(415) -> 416*
     31(554) -> 555*
     31(578) -> 579*
     31(434) -> 435*
     31(294) -> 295*
     31(449) -> 450*
     31(589) -> 590*
     31(588) -> 589*
     31(402) -> 403*
     31(370) -> 371*
     31(410) -> 411*
     31(261) -> 262*
     31(583) -> 584*
     31(587) -> 588*
     31(378) -> 379*
     31(495) -> 496*
     31(541) -> 542*
     31(447) -> 448*
     31(448) -> 449*
     31(305) -> 306*
     31(508) -> 509*
     31(572) -> 573*
     31(443) -> 444*
     31(349) -> 350*
     31(338) -> 339*
     01(602) -> 603*
     01(299) -> 300*
     01(442) -> 443*
     01(501) -> 502*
     01(342) -> 343*
     01(379) -> 380*
     01(298) -> 299*
     01(435) -> 436*
     01(584) -> 585*
     01(287) -> 288*
     01(403) -> 404*
     01(446) -> 447*
     01(335) -> 336*
     01(288) -> 289*
     01(582) -> 583*
     01(346) -> 347*
     01(444) -> 445*
     01(411) -> 412*
     01(332) -> 333*
     01(535) -> 536*
     01(539) -> 540*
     01(255) -> 256*
     01(302) -> 303*
     01(259) -> 260*
     01(343) -> 344*
     01(331) -> 332*
     01(496) -> 497*
     01(347) -> 348*
     01(538) -> 539*
     01(254) -> 255*
     01(292) -> 293*
     01(303) -> 304*
     01(336) -> 337*
     01(502) -> 503*
     01(555) -> 556*
     01(371) -> 372*
     01(258) -> 259*
     01(586) -> 587*
     01(291) -> 292*
     01(534) -> 535*
     21(557) -> 558*
     21(373) -> 374*
     21(372) -> 373*
     21(413) -> 414*
     21(500) -> 501*
     21(504) -> 505*
     21(437) -> 438*
     21(382) -> 383*
     21(380) -> 381*
     21(481) -> 482*
     21(374) -> 375*
     21(436) -> 437*
     21(414) -> 415*
     21(477) -> 478*
     21(296) -> 297*
     21(285) -> 286*
     21(340) -> 341*
     21(525) -> 526*
     21(497) -> 498*
     21(252) -> 253*
     21(412) -> 413*
     21(405) -> 406*
     21(404) -> 405*
     21(329) -> 330*
     21(381) -> 382*
     21(532) -> 533*
     21(438) -> 439*
     21(558) -> 559*
     21(556) -> 557*
     21(406) -> 407*
     21(529) -> 530*
     228 -> 153,154
     262 -> 602,211
     603 -> 497*
     194 -> 574*
     210 -> 578*
     19 -> 508*
     195 -> 153*
     575 -> 474*
     451 -> 190*
     92 -> 46,135
     142 -> 572*
     203 -> 153*
     254 -> 370*
     154 -> 473*
     245 -> 3,65
     531 -> 474,155
     162 -> 153*
     579 -> 496*
     30 -> 153*
     417 -> 338*
     217 -> 252*
     295 -> 181*
     169 -> 153*
     12 -> 153*
     306 -> 132*
     63 -> 83,93
     45 -> 46*
     11 -> 495*
     143 -> 3*
     82 -> 3,65
     350 -> 232*
     230 -> 340*
     237 -> 46,4
     377 -> 261*
     509 -> 496*
     441 -> 349*
     178 -> 83,170
     186 -> 46,155
     385 -> 294*
     36 -> 153,154
     253 -> 582*
     330 -> 442*
     573 -> 496*
     179 -> 285*
     73 -> 153*
     44 -> 521*
     505 -> 232*
     342 -> 434*
     101 -> 64*
     127 -> 21,111,85
     287 -> 378*
     542 -> 154,473
     409 -> 305*
     1 -> 153*
     20 -> 83,170
     130 -> 296*
     55 -> 46*
     483 -> 164*
     110 -> 3,65
     331 -> 410*
     134 -> 153,154
     219 -> 153,154
     298 -> 402*
     187 -> 329*
     119 -> 153,154
     211 -> 153*
     561 -> 541*
     152 -> 83,93
     81 -> 532*
     534 -> 554*
     591 -> 154,473
     339 -> 189*
   problem:
    
   Qed