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