YES Problem: 5(5(x1)) -> 1(1(2(3(3(2(3(0(4(4(x1)))))))))) 0(5(5(x1))) -> 1(0(1(3(3(0(1(2(4(4(x1)))))))))) 5(2(5(x1))) -> 4(3(0(3(4(4(1(4(3(5(x1)))))))))) 0(2(2(4(x1)))) -> 1(1(3(0(1(2(2(2(1(4(x1)))))))))) 0(5(5(1(x1)))) -> 2(2(3(2(4(1(1(3(3(2(x1)))))))))) 0(5(5(4(x1)))) -> 1(0(4(4(5(2(4(4(4(1(x1)))))))))) 1(5(4(0(x1)))) -> 0(4(4(2(3(3(0(3(3(2(x1)))))))))) 5(4(0(0(x1)))) -> 0(4(3(0(4(3(3(5(0(0(x1)))))))))) 5(5(3(4(x1)))) -> 1(3(2(3(3(0(0(3(2(4(x1)))))))))) 0(5(0(2(1(x1))))) -> 1(2(1(2(2(3(0(1(2(0(x1)))))))))) 2(2(5(3(5(x1))))) -> 0(1(1(5(3(0(3(3(1(4(x1)))))))))) 2(4(0(5(0(x1))))) -> 1(1(2(4(4(1(2(2(5(0(x1)))))))))) 2(4(0(5(4(x1))))) -> 2(4(3(1(4(4(0(5(4(4(x1)))))))))) 3(5(3(4(0(x1))))) -> 3(0(3(3(5(2(3(3(4(0(x1)))))))))) 0(0(5(1(1(5(x1)))))) -> 3(1(0(3(3(0(3(2(1(5(x1)))))))))) 0(5(5(0(5(5(x1)))))) -> 2(0(2(2(1(1(0(4(0(5(x1)))))))))) 0(5(5(1(1(2(x1)))))) -> 2(4(3(1(2(1(2(0(4(2(x1)))))))))) 1(5(4(0(5(5(x1)))))) -> 3(0(3(0(4(5(1(5(1(5(x1)))))))))) 1(5(5(5(0(5(x1)))))) -> 0(2(0(3(2(0(3(2(4(5(x1)))))))))) 2(2(0(2(3(4(x1)))))) -> 3(3(2(3(2(1(2(3(2(4(x1)))))))))) 2(5(4(0(2(5(x1)))))) -> 3(2(0(4(0(2(3(0(4(5(x1)))))))))) 3(4(2(5(0(0(x1)))))) -> 0(4(0(0(3(0(3(3(0(0(x1)))))))))) 4(0(0(0(4(0(x1)))))) -> 1(4(3(2(4(3(5(0(2(0(x1)))))))))) 4(0(0(5(3(4(x1)))))) -> 4(0(3(1(1(1(0(0(0(4(x1)))))))))) 4(0(5(2(4(0(x1)))))) -> 2(1(3(3(0(4(2(2(0(0(x1)))))))))) 4(0(5(2(5(0(x1)))))) -> 3(2(1(2(3(5(0(4(1(1(x1)))))))))) 4(3(0(2(5(0(x1)))))) -> 4(1(3(4(1(1(0(1(5(0(x1)))))))))) 5(1(4(0(5(2(x1)))))) -> 5(4(5(1(5(1(2(0(3(3(x1)))))))))) 5(1(5(0(2(5(x1)))))) -> 5(2(2(5(3(1(4(1(4(4(x1)))))))))) 5(2(5(2(5(2(x1)))))) -> 1(1(4(4(5(4(0(4(4(2(x1)))))))))) 5(3(5(5(3(2(x1)))))) -> 3(0(4(5(4(1(5(0(3(2(x1)))))))))) 5(5(1(2(5(2(x1)))))) -> 5(1(3(4(4(0(3(2(4(1(x1)))))))))) 5(5(3(4(5(1(x1)))))) -> 2(1(2(0(3(3(1(0(0(5(x1)))))))))) 0(5(3(2(5(1(0(x1))))))) -> 3(3(0(1(3(4(5(1(4(0(x1)))))))))) 2(2(5(3(4(0(1(x1))))))) -> 2(1(2(2(4(0(2(0(1(3(x1)))))))))) 2(3(2(5(1(0(5(x1))))))) -> 2(0(3(3(3(1(0(5(4(5(x1)))))))))) 2(4(1(0(5(5(5(x1))))))) -> 3(3(3(2(2(1(4(4(5(5(x1)))))))))) 2(4(3(1(5(5(3(x1))))))) -> 0(1(0(4(2(2(2(0(0(3(x1)))))))))) 4(0(2(4(5(2(5(x1))))))) -> 2(0(2(0(4(4(1(3(5(5(x1)))))))))) 4(0(5(2(4(2(5(x1))))))) -> 4(4(4(2(4(2(0(2(1(5(x1)))))))))) 4(1(2(4(5(1(4(x1))))))) -> 4(4(3(3(4(0(4(4(5(4(x1)))))))))) 5(1(1(5(2(0(0(x1))))))) -> 2(3(0(1(1(1(2(3(1(0(x1)))))))))) 5(2(2(5(3(0(2(x1))))))) -> 1(4(2(1(0(2(3(2(4(4(x1)))))))))) 5(3(4(0(1(5(3(x1))))))) -> 4(4(4(2(3(0(4(3(5(3(x1)))))))))) 5(4(2(3(1(5(0(x1))))))) -> 1(2(2(3(3(0(0(2(4(1(x1)))))))))) Proof: String Reversal Processor: 5(5(x1)) -> 4(4(0(3(2(3(3(2(1(1(x1)))))))))) 5(5(0(x1))) -> 4(4(2(1(0(3(3(1(0(1(x1)))))))))) 5(2(5(x1))) -> 5(3(4(1(4(4(3(0(3(4(x1)))))))))) 4(2(2(0(x1)))) -> 4(1(2(2(2(1(0(3(1(1(x1)))))))))) 1(5(5(0(x1)))) -> 2(3(3(1(1(4(2(3(2(2(x1)))))))))) 4(5(5(0(x1)))) -> 1(4(4(4(2(5(4(4(0(1(x1)))))))))) 0(4(5(1(x1)))) -> 2(3(3(0(3(3(2(4(4(0(x1)))))))))) 0(0(4(5(x1)))) -> 0(0(5(3(3(4(0(3(4(0(x1)))))))))) 4(3(5(5(x1)))) -> 4(2(3(0(0(3(3(2(3(1(x1)))))))))) 1(2(0(5(0(x1))))) -> 0(2(1(0(3(2(2(1(2(1(x1)))))))))) 5(3(5(2(2(x1))))) -> 4(1(3(3(0(3(5(1(1(0(x1)))))))))) 0(5(0(4(2(x1))))) -> 0(5(2(2(1(4(4(2(1(1(x1)))))))))) 4(5(0(4(2(x1))))) -> 4(4(5(0(4(4(1(3(4(2(x1)))))))))) 0(4(3(5(3(x1))))) -> 0(4(3(3(2(5(3(3(0(3(x1)))))))))) 5(1(1(5(0(0(x1)))))) -> 5(1(2(3(0(3(3(0(1(3(x1)))))))))) 5(5(0(5(5(0(x1)))))) -> 5(0(4(0(1(1(2(2(0(2(x1)))))))))) 2(1(1(5(5(0(x1)))))) -> 2(4(0(2(1(2(1(3(4(2(x1)))))))))) 5(5(0(4(5(1(x1)))))) -> 5(1(5(1(5(4(0(3(0(3(x1)))))))))) 5(0(5(5(5(1(x1)))))) -> 5(4(2(3(0(2(3(0(2(0(x1)))))))))) 4(3(2(0(2(2(x1)))))) -> 4(2(3(2(1(2(3(2(3(3(x1)))))))))) 5(2(0(4(5(2(x1)))))) -> 5(4(0(3(2(0(4(0(2(3(x1)))))))))) 0(0(5(2(4(3(x1)))))) -> 0(0(3(3(0(3(0(0(4(0(x1)))))))))) 0(4(0(0(0(4(x1)))))) -> 0(2(0(5(3(4(2(3(4(1(x1)))))))))) 4(3(5(0(0(4(x1)))))) -> 4(0(0(0(1(1(1(3(0(4(x1)))))))))) 0(4(2(5(0(4(x1)))))) -> 0(0(2(2(4(0(3(3(1(2(x1)))))))))) 0(5(2(5(0(4(x1)))))) -> 1(1(4(0(5(3(2(1(2(3(x1)))))))))) 0(5(2(0(3(4(x1)))))) -> 0(5(1(0(1(1(4(3(1(4(x1)))))))))) 2(5(0(4(1(5(x1)))))) -> 3(3(0(2(1(5(1(5(4(5(x1)))))))))) 5(2(0(5(1(5(x1)))))) -> 4(4(1(4(1(3(5(2(2(5(x1)))))))))) 2(5(2(5(2(5(x1)))))) -> 2(4(4(0(4(5(4(4(1(1(x1)))))))))) 2(3(5(5(3(5(x1)))))) -> 2(3(0(5(1(4(5(4(0(3(x1)))))))))) 2(5(2(1(5(5(x1)))))) -> 1(4(2(3(0(4(4(3(1(5(x1)))))))))) 1(5(4(3(5(5(x1)))))) -> 5(0(0(1(3(3(0(2(1(2(x1)))))))))) 0(1(5(2(3(5(0(x1))))))) -> 0(4(1(5(4(3(1(0(3(3(x1)))))))))) 1(0(4(3(5(2(2(x1))))))) -> 3(1(0(2(0(4(2(2(1(2(x1)))))))))) 5(0(1(5(2(3(2(x1))))))) -> 5(4(5(0(1(3(3(3(0(2(x1)))))))))) 5(5(5(0(1(4(2(x1))))))) -> 5(5(4(4(1(2(2(3(3(3(x1)))))))))) 3(5(5(1(3(4(2(x1))))))) -> 3(0(0(2(2(2(4(0(1(0(x1)))))))))) 5(2(5(4(2(0(4(x1))))))) -> 5(5(3(1(4(4(0(2(0(2(x1)))))))))) 5(2(4(2(5(0(4(x1))))))) -> 5(1(2(0(2(4(2(4(4(4(x1)))))))))) 4(1(5(4(2(1(4(x1))))))) -> 4(5(4(4(0(4(3(3(4(4(x1)))))))))) 0(0(2(5(1(1(5(x1))))))) -> 0(1(3(2(1(1(1(0(3(2(x1)))))))))) 2(0(3(5(2(2(5(x1))))))) -> 4(4(2(3(2(0(1(2(4(1(x1)))))))))) 3(5(1(0(4(3(5(x1))))))) -> 3(5(3(4(0(3(2(4(4(4(x1)))))))))) 0(5(1(3(2(4(5(x1))))))) -> 1(4(2(0(0(3(3(2(2(1(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {376,370,362,353,345,336,329,321,313,305,298,290,282, 273,265,257,248,238,229,221,212,203,194,186,177,168, 159,152,146,137,128,118,109,102,93,84,75,67,57,49, 39,31,21,12,1} transitions: 41(437) -> 438* 41(425) -> 426* 41(393) -> 394* 41(392) -> 393* 41(426) -> 427* 31(420) -> 421* 31(421) -> 422* 31(387) -> 388* 31(388) -> 389* 31(423) -> 424* 31(390) -> 391* 31(430) -> 431* 40(69) -> 70* 40(153) -> 154* 40(116) -> 117* 40(339) -> 340* 40(296) -> 297* 40(13) -> 50* 40(179) -> 180* 40(231) -> 232* 40(5) -> 103* 40(58) -> 59* 40(59) -> 60* 40(253) -> 254* 40(349) -> 350* 40(226) -> 227* 40(368) -> 369* 40(143) -> 144* 40(276) -> 277* 40(372) -> 373* 40(126) -> 127* 40(40) -> 110* 40(120) -> 266* 40(20) -> 12* 40(382) -> 383* 40(369) -> 362* 40(293) -> 294* 40(103) -> 104* 40(22) -> 337* 40(101) -> 93* 40(267) -> 268* 40(280) -> 281* 40(112) -> 113* 40(262) -> 263* 40(347) -> 348* 40(216) -> 217* 40(256) -> 248* 40(311) -> 312* 40(53) -> 54* 40(83) -> 75* 40(176) -> 168* 40(211) -> 203* 40(11) -> 1* 40(3) -> 195* 40(38) -> 31* 40(150) -> 151* 40(352) -> 345* 40(26) -> 27* 40(4) -> 258* 40(43) -> 44* 40(25) -> 26* 40(239) -> 240* 40(55) -> 56* 40(350) -> 351* 40(113) -> 114* 40(255) -> 256* 40(19) -> 20* 40(166) -> 167* 40(260) -> 261* 40(50) -> 51* 40(54) -> 55* 40(197) -> 198* 40(184) -> 185* 40(10) -> 11* 40(258) -> 259* 40(331) -> 332* 40(299) -> 300* 40(263) -> 264* 40(117) -> 109* 40(275) -> 276* 40(28) -> 29* 40(318) -> 319* 40(330) -> 331* 40(317) -> 318* 40(337) -> 338* 40(322) -> 323* 40(2) -> 22* f60() -> 2* 50(320) -> 313* 50(154) -> 155* 50(51) -> 52* 50(158) -> 152* 50(289) -> 282* 50(136) -> 128* 50(294) -> 295* 50(115) -> 116* 50(259) -> 260* 50(319) -> 320* 50(122) -> 123* 50(374) -> 375* 50(107) -> 108* 50(334) -> 335* 50(30) -> 21* 50(2) -> 239* 50(310) -> 311* 50(240) -> 241* 50(344) -> 336* 50(167) -> 159* 50(145) -> 137* 50(269) -> 270* 50(199) -> 200* 50(242) -> 243* 50(351) -> 352* 50(250) -> 251* 50(95) -> 96* 50(72) -> 73* 50(312) -> 305* 50(185) -> 177* 50(335) -> 329* 50(266) -> 267* 50(156) -> 157* 50(236) -> 237* 50(224) -> 225* 10(243) -> 244* 10(252) -> 253* 10(2) -> 3* 10(178) -> 222* 10(111) -> 112* 10(268) -> 269* 10(104) -> 105* 10(291) -> 292* 10(233) -> 234* 10(303) -> 304* 10(37) -> 38* 10(228) -> 221* 10(33) -> 34* 10(205) -> 206* 10(332) -> 333* 10(45) -> 46* 10(85) -> 86* 10(254) -> 255* 10(308) -> 309* 10(206) -> 207* 10(3) -> 4* 10(40) -> 213* 10(119) -> 129* 10(383) -> 376* 10(357) -> 358* 10(232) -> 233* 10(235) -> 236* 10(155) -> 156* 10(316) -> 317* 10(147) -> 148* 10(22) -> 230* 10(239) -> 274* 10(356) -> 357* 10(207) -> 208* 10(360) -> 361* 10(13) -> 14* 10(90) -> 91* 10(343) -> 344* 10(56) -> 49* 10(295) -> 296* 10(355) -> 356* 10(157) -> 158* 10(241) -> 242* 10(27) -> 28* 10(44) -> 45* 10(94) -> 95* 10(141) -> 142* 10(172) -> 173* 10(281) -> 273* 10(227) -> 228* 10(58) -> 94* 10(135) -> 136* 10(100) -> 101* 10(17) -> 18* 10(140) -> 141* 10(286) -> 287* 10(363) -> 364* 00(22) -> 204* 00(89) -> 90* 00(16) -> 17* 00(364) -> 365* 00(68) -> 69* 00(354) -> 355* 00(237) -> 229* 00(302) -> 303* 00(2) -> 58* 00(119) -> 120* 00(297) -> 290* 00(380) -> 381* 00(74) -> 67* 00(287) -> 288* 00(215) -> 216* 00(348) -> 349* 00(127) -> 118* 00(193) -> 186* 00(189) -> 190* 00(300) -> 301* 00(180) -> 181* 00(80) -> 81* 00(192) -> 193* 00(94) -> 322* 00(208) -> 209* 00(261) -> 262* 00(163) -> 164* 00(288) -> 289* 00(9) -> 10* 00(234) -> 235* 00(121) -> 153* 00(97) -> 98* 00(139) -> 330* 00(40) -> 138* 00(3) -> 13* 00(379) -> 380* 00(371) -> 372* 00(361) -> 353* 00(129) -> 130* 00(209) -> 210* 00(202) -> 194* 00(92) -> 84* 00(283) -> 284* 00(149) -> 150* 00(187) -> 188* 00(79) -> 80* 00(341) -> 342* 00(277) -> 278* 00(220) -> 212* 00(32) -> 33* 00(309) -> 310* 00(210) -> 211* 00(132) -> 133* 00(178) -> 179* 00(169) -> 291* 00(142) -> 143* 00(108) -> 102* 00(160) -> 161* 00(144) -> 145* 00(59) -> 187* 00(183) -> 184* 00(63) -> 64* 00(270) -> 271* 00(327) -> 328* 00(200) -> 201* 00(245) -> 246* 00(225) -> 226* 00(73) -> 74* 00(23) -> 24* 00(219) -> 220* 00(326) -> 327* 00(114) -> 115* 20(35) -> 36* 20(151) -> 146* 20(7) -> 8* 20(272) -> 265* 20(40) -> 41* 20(239) -> 249* 20(196) -> 197* 20(171) -> 172* 20(301) -> 302* 20(381) -> 382* 20(264) -> 257* 20(52) -> 53* 20(3) -> 85* 20(86) -> 87* 20(314) -> 315* 20(365) -> 366* 20(66) -> 57* 20(138) -> 139* 20(244) -> 245* 20(367) -> 368* 20(169) -> 170* 20(148) -> 149* 20(139) -> 140* 20(134) -> 135* 20(217) -> 218* 20(195) -> 363* 20(315) -> 316* 20(342) -> 343* 20(18) -> 19* 20(181) -> 182* 20(358) -> 359* 20(36) -> 37* 20(324) -> 325* 20(279) -> 280* 20(105) -> 106* 20(106) -> 107* 20(60) -> 61* 20(123) -> 124* 20(91) -> 92* 20(325) -> 326* 20(85) -> 377* 20(119) -> 178* 20(165) -> 166* 20(222) -> 223* 20(218) -> 219* 20(76) -> 77* 20(283) -> 299* 20(173) -> 174* 20(112) -> 147* 20(34) -> 35* 20(4) -> 5* 20(87) -> 88* 20(42) -> 43* 20(162) -> 163* 20(249) -> 250* 20(48) -> 39* 20(201) -> 202* 20(58) -> 160* 20(340) -> 341* 20(338) -> 339* 20(175) -> 176* 20(82) -> 83* 20(2) -> 40* 20(323) -> 324* 20(213) -> 283* 30(188) -> 189* 30(346) -> 347* 30(306) -> 307* 30(164) -> 165* 30(223) -> 224* 30(375) -> 370* 30(213) -> 214* 30(246) -> 247* 30(2) -> 119* 30(22) -> 23* 30(40) -> 354* 30(182) -> 183* 30(47) -> 48* 30(14) -> 15* 30(124) -> 125* 30(191) -> 192* 30(4) -> 32* 30(5) -> 6* 30(88) -> 89* 30(81) -> 82* 30(214) -> 215* 30(161) -> 162* 30(15) -> 16* 30(284) -> 285* 30(71) -> 72* 30(230) -> 231* 30(62) -> 63* 30(204) -> 205* 30(247) -> 238* 30(110) -> 111* 30(119) -> 169* 30(274) -> 275* 30(96) -> 97* 30(131) -> 132* 30(6) -> 7* 30(198) -> 199* 30(99) -> 100* 30(70) -> 71* 30(59) -> 68* 30(64) -> 65* 30(304) -> 298* 30(138) -> 306* 30(170) -> 171* 30(133) -> 134* 30(29) -> 30* 30(339) -> 371* 30(328) -> 321* 30(285) -> 286* 30(377) -> 378* 30(8) -> 9* 30(61) -> 62* 30(121) -> 122* 30(24) -> 25* 30(337) -> 346* 30(307) -> 308* 30(77) -> 78* 30(373) -> 374* 30(125) -> 126* 30(98) -> 99* 30(366) -> 367* 30(195) -> 196* 30(271) -> 272* 30(251) -> 252* 30(333) -> 334* 30(3) -> 76* 30(359) -> 360* 30(174) -> 175* 30(41) -> 42* 30(120) -> 121* 30(378) -> 379* 30(278) -> 279* 30(78) -> 79* 30(292) -> 293* 30(169) -> 314* 30(46) -> 47* 30(65) -> 66* 30(130) -> 131* 30(190) -> 191* 21(422) -> 423* 21(435) -> 436* 21(389) -> 390* 21(434) -> 435* 21(386) -> 387* 21(433) -> 434* 21(419) -> 420* 11(436) -> 437* 11(417) -> 418* 11(429) -> 430* 11(432) -> 433* 11(428) -> 429* 11(385) -> 386* 11(418) -> 419* 11(384) -> 385* 01(391) -> 392* 01(431) -> 432* 01(424) -> 425* 238 -> 40,249 321 -> 119* 427 -> 313* 194 -> 58,204,187 92 -> 428* 353 -> 58* 203 -> 22* 159 -> 239* 168 -> 22* 362 -> 40,160 137 -> 239* 290 -> 58,13 370 -> 119* 282 -> 3,274 12 -> 239* 93 -> 239* 212 -> 58,204 118 -> 58,204 265 -> 40,178 313 -> 239* 67 -> 58* 336 -> 239* 75 -> 22* 394 -> 329* 345 -> 22,195 109 -> 22,240 257 -> 40,249 186 -> 58* 21 -> 239* 248 -> 239* 177 -> 239* 334 -> 384* 305 -> 239* 1 -> 239* 49 -> 22,240 31 -> 22,110 319 -> 417* 298 -> 3,94 146 -> 40,85,5 57 -> 58,204 39 -> 3,274 84 -> 3,213 438 -> 300* 273 -> 40,249 229 -> 58* 152 -> 239* 128 -> 239* 102 -> 58* 376 -> 58* 221 -> 58* 329 -> 239* problem: Qed