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