YES Problem: 0(0(0(0(1(1(2(1(0(2(3(1(2(x1))))))))))))) -> 1(1(2(2(2(2(0(2(0(3(0(2(2(1(2(3(3(x1))))))))))))))))) 0(0(1(3(2(0(1(2(3(2(0(3(1(x1))))))))))))) -> 2(2(3(0(0(2(0(3(3(2(2(3(3(2(2(3(2(x1))))))))))))))))) 0(0(2(0(0(0(0(1(3(3(1(1(2(x1))))))))))))) -> 3(3(3(1(2(2(0(0(2(3(2(3(2(1(2(1(2(x1))))))))))))))))) 0(0(2(1(0(0(0(2(0(1(3(2(1(x1))))))))))))) -> 2(2(3(0(0(0(2(2(3(2(1(3(2(2(3(1(1(x1))))))))))))))))) 0(1(1(1(0(2(0(3(0(2(2(2(0(x1))))))))))))) -> 1(2(2(0(2(2(3(1(2(3(1(2(2(2(2(1(0(x1))))))))))))))))) 0(1(2(2(3(3(2(0(0(3(1(2(2(x1))))))))))))) -> 3(0(2(2(2(1(1(2(2(2(1(1(3(3(2(2(2(x1))))))))))))))))) 0(3(0(2(0(3(2(0(3(2(0(2(1(x1))))))))))))) -> 2(1(0(3(1(2(3(0(2(0(2(2(2(3(1(3(1(x1))))))))))))))))) 0(3(1(1(1(2(2(3(1(3(3(2(1(x1))))))))))))) -> 2(2(0(1(2(1(1(1(1(1(2(0(2(1(0(2(2(x1))))))))))))))))) 0(3(1(2(2(2(1(0(1(0(2(3(3(x1))))))))))))) -> 2(2(2(0(2(3(2(3(3(3(1(3(3(1(2(2(3(x1))))))))))))))))) 0(3(3(2(1(0(2(3(0(2(2(2(0(x1))))))))))))) -> 2(2(0(0(1(2(2(2(3(3(2(1(3(0(2(2(3(x1))))))))))))))))) 1(0(2(3(2(1(0(2(3(3(0(2(2(x1))))))))))))) -> 2(1(0(2(2(3(0(3(1(2(2(2(2(2(2(1(2(x1))))))))))))))))) 1(1(0(2(1(1(3(0(0(3(2(1(2(x1))))))))))))) -> 2(3(2(1(2(2(1(1(0(0(3(2(2(0(1(1(2(x1))))))))))))))))) 1(1(0(2(2(1(0(2(1(1(3(2(3(x1))))))))))))) -> 2(0(2(3(2(0(2(0(0(2(2(1(2(2(3(3(3(x1))))))))))))))))) 1(1(0(2(2(3(1(1(0(0(1(1(2(x1))))))))))))) -> 2(0(0(0(2(0(3(0(1(2(0(2(2(2(2(1(2(x1))))))))))))))))) 1(1(1(3(2(0(2(1(2(0(0(2(0(x1))))))))))))) -> 2(3(2(3(2(0(3(2(2(1(2(3(2(2(2(1(0(x1))))))))))))))))) 1(1(2(0(0(2(1(2(0(1(1(1(1(x1))))))))))))) -> 1(0(0(0(2(2(2(3(3(2(3(3(3(2(0(2(2(x1))))))))))))))))) 1(1(2(1(2(3(3(1(2(1(0(1(0(x1))))))))))))) -> 2(2(2(3(1(2(2(1(2(2(3(2(1(0(3(3(2(x1))))))))))))))))) 1(1(2(2(0(2(2(0(0(3(1(0(2(x1))))))))))))) -> 1(3(2(0(2(2(1(3(3(2(2(1(1(3(2(0(2(x1))))))))))))))))) 1(2(0(2(1(2(1(1(3(1(3(3(0(x1))))))))))))) -> 1(2(1(3(0(3(0(0(0(2(2(2(2(3(2(0(2(x1))))))))))))))))) 1(2(1(0(3(2(1(1(1(0(2(3(3(x1))))))))))))) -> 0(2(3(3(0(2(2(2(1(0(0(2(1(1(3(3(2(x1))))))))))))))))) 1(2(1(2(1(1(3(2(1(3(3(0(1(x1))))))))))))) -> 1(0(0(2(2(0(0(0(2(2(2(2(2(2(2(0(2(x1))))))))))))))))) 1(2(1(3(2(0(3(3(2(1(1(0(2(x1))))))))))))) -> 3(3(2(2(2(1(2(0(1(1(2(0(2(2(1(0(2(x1))))))))))))))))) 1(2(1(3(2(3(3(0(3(1(2(3(3(x1))))))))))))) -> 2(2(1(0(2(2(0(0(2(1(1(2(3(1(1(1(2(x1))))))))))))))))) 1(3(0(1(3(2(3(2(0(0(1(2(3(x1))))))))))))) -> 1(1(3(1(3(2(2(0(2(3(1(2(1(2(1(2(3(x1))))))))))))))))) 2(0(1(1(0(0(2(3(3(0(2(0(1(x1))))))))))))) -> 2(2(2(1(3(1(3(3(2(2(2(2(0(3(0(1(1(x1))))))))))))))))) 2(1(1(3(1(3(3(2(1(1(1(3(3(x1))))))))))))) -> 0(2(2(1(2(3(0(0(1(2(0(2(0(2(1(2(2(x1))))))))))))))))) 2(1(3(2(0(0(3(3(2(1(3(1(2(x1))))))))))))) -> 2(2(2(1(0(2(3(1(1(1(1(3(2(3(3(2(2(x1))))))))))))))))) 2(2(0(0(3(3(0(1(2(0(3(2(2(x1))))))))))))) -> 2(2(2(3(1(1(0(0(2(1(0(1(2(2(0(1(2(x1))))))))))))))))) 3(0(2(3(0(1(2(2(3(2(2(0(3(x1))))))))))))) -> 2(2(1(3(3(2(2(2(3(3(0(2(2(2(3(3(0(x1))))))))))))))))) 3(2(2(2(3(0(3(1(3(0(3(1(2(x1))))))))))))) -> 2(2(2(0(2(3(1(2(1(2(2(3(2(2(3(3(1(x1))))))))))))))))) Proof: Bounds Processor: bound: 0 enrichment: match automaton: final states: {436,420,405,390,375,360,345,331,316,302,288,275,259, 244,230,218,207,192,177,163,149,133,118,102,86,69,52, 36,19,1} transitions: 10(359) -> 345* 10(289) -> 290* 10(386) -> 387* 10(78) -> 79* 10(119) -> 120* 10(334) -> 335* 10(358) -> 359* 10(185) -> 186* 10(433) -> 434* 10(415) -> 416* 10(151) -> 152* 10(37) -> 178* 10(285) -> 286* 10(116) -> 117* 10(184) -> 185* 10(123) -> 124* 10(90) -> 91* 10(349) -> 350* 10(408) -> 409* 10(2) -> 53* 10(135) -> 136* 10(325) -> 326* 10(260) -> 317* 10(442) -> 443* 10(263) -> 264* 10(397) -> 398* 10(91) -> 92* 10(394) -> 395* 10(87) -> 376* 10(293) -> 294* 10(18) -> 1* 10(342) -> 343* 10(251) -> 252* 10(369) -> 370* 10(126) -> 127* 10(168) -> 169* 10(20) -> 37* 10(5) -> 6* 10(254) -> 255* 10(414) -> 415* 10(96) -> 97* 10(246) -> 247* 10(113) -> 114* 10(175) -> 176* 10(410) -> 411* 10(274) -> 259* 10(17) -> 18* 10(188) -> 189* 10(381) -> 382* 10(268) -> 269* 10(70) -> 71* 10(124) -> 125* 10(322) -> 323* 10(48) -> 49* 10(127) -> 128* 10(125) -> 126* 10(395) -> 396* 10(85) -> 69* 10(158) -> 159* 10(195) -> 196* 10(347) -> 348* 10(134) -> 346* 10(371) -> 372* 10(335) -> 336* 10(444) -> 445* 10(138) -> 139* 10(58) -> 59* 10(178) -> 332* 10(95) -> 96* 10(53) -> 54* 10(287) -> 275* 10(220) -> 221* 10(209) -> 210* 10(245) -> 289* 10(103) -> 104* 10(396) -> 397* 10(356) -> 357* 10(401) -> 402* 10(262) -> 263* 10(129) -> 130* 10(315) -> 302* 10(75) -> 76* 10(38) -> 39* 10(243) -> 230* 10(321) -> 322* 00(297) -> 298* 00(182) -> 183* 00(301) -> 288* 00(160) -> 161* 00(115) -> 116* 00(279) -> 280* 00(400) -> 401* 00(199) -> 200* 00(283) -> 284* 00(145) -> 146* 00(210) -> 211* 00(31) -> 32* 00(242) -> 243* 00(44) -> 45* 00(108) -> 109* 00(212) -> 213* 00(338) -> 339* 00(447) -> 448* 00(413) -> 414* 00(412) -> 413* 00(174) -> 175* 00(12) -> 13* 00(319) -> 320* 00(201) -> 202* 00(183) -> 184* 00(82) -> 83* 00(20) -> 260* 00(382) -> 383* 00(205) -> 206* 00(409) -> 410* 00(45) -> 46* 00(240) -> 241* 00(377) -> 378* 00(280) -> 281* 00(130) -> 131* 00(29) -> 30* 00(241) -> 242* 00(121) -> 122* 00(379) -> 380* 00(32) -> 33* 00(216) -> 217* 00(198) -> 199* 00(100) -> 101* 00(245) -> 246* 00(87) -> 119* 00(135) -> 150* 00(214) -> 215* 00(383) -> 384* 00(281) -> 282* 00(178) -> 179* 00(341) -> 342* 00(313) -> 314* 00(352) -> 353* 00(292) -> 293* 00(37) -> 406* 00(63) -> 64* 00(8) -> 9* 00(159) -> 160* 00(291) -> 292* 00(323) -> 324* 00(308) -> 309* 00(215) -> 216* 00(310) -> 311* 00(309) -> 310* 00(166) -> 208* 00(170) -> 171* 00(64) -> 65* 00(314) -> 315* 00(110) -> 111* 00(54) -> 361* 00(271) -> 272* 00(10) -> 11* 00(65) -> 66* 00(224) -> 225* 00(425) -> 426* 00(362) -> 363* 00(389) -> 375* 00(337) -> 338* 00(2) -> 70* 30(445) -> 446* 30(190) -> 191* 30(89) -> 90* 30(66) -> 67* 30(431) -> 432* 30(171) -> 172* 30(211) -> 212* 30(24) -> 25* 30(153) -> 154* 30(439) -> 440* 30(4) -> 193* 30(233) -> 234* 30(141) -> 142* 30(330) -> 316* 30(2) -> 3* 30(103) -> 437* 30(181) -> 182* 30(53) -> 103* 30(74) -> 219* 30(21) -> 245* 30(20) -> 21* 30(273) -> 274* 30(49) -> 50* 30(384) -> 385* 30(355) -> 356* 30(223) -> 224* 30(27) -> 28* 30(367) -> 368* 30(427) -> 428* 30(261) -> 262* 30(50) -> 51* 30(248) -> 249* 30(101) -> 86* 30(236) -> 237* 30(54) -> 55* 30(232) -> 233* 30(235) -> 236* 30(9) -> 10* 30(57) -> 58* 30(111) -> 112* 30(140) -> 141* 30(154) -> 155* 30(255) -> 256* 30(416) -> 417* 30(104) -> 105* 30(432) -> 433* 30(391) -> 392* 30(284) -> 285* 30(139) -> 140* 30(40) -> 41* 30(266) -> 267* 30(299) -> 300* 30(3) -> 4* 30(28) -> 29* 30(370) -> 371* 30(87) -> 391* 30(426) -> 427* 30(329) -> 330* 30(398) -> 399* 30(282) -> 283* 30(88) -> 89* 30(361) -> 362* 30(228) -> 229* 30(393) -> 394* 30(79) -> 80* 30(231) -> 232* 30(203) -> 204* 30(60) -> 61* 30(143) -> 144* 30(332) -> 333* 30(350) -> 351* 30(267) -> 268* 30(136) -> 137* 30(51) -> 36* 30(368) -> 369* 30(357) -> 358* 30(169) -> 170* 30(421) -> 422* 30(76) -> 77* 30(42) -> 43* 30(298) -> 299* 30(150) -> 151* 30(70) -> 421* 30(23) -> 24* 30(137) -> 138* 30(33) -> 34* 30(226) -> 227* 30(114) -> 115* f40() -> 2* 20(286) -> 287* 20(41) -> 42* 20(21) -> 22* 20(307) -> 308* 20(448) -> 449* 20(202) -> 203* 20(277) -> 278* 20(264) -> 265* 20(406) -> 407* 20(348) -> 349* 20(68) -> 52* 20(6) -> 7* 20(30) -> 31* 20(380) -> 381* 20(237) -> 238* 20(417) -> 418* 20(87) -> 88* 20(303) -> 304* 20(247) -> 248* 20(134) -> 135* 20(402) -> 403* 20(173) -> 174* 20(72) -> 73* 20(67) -> 68* 20(385) -> 386* 20(253) -> 254* 20(260) -> 261* 20(340) -> 341* 20(443) -> 444* 20(208) -> 209* 20(144) -> 145* 20(77) -> 78* 20(219) -> 220* 20(440) -> 441* 20(62) -> 63* 20(98) -> 99* 20(196) -> 197* 20(13) -> 14* 20(238) -> 239* 20(217) -> 207* 20(71) -> 72* 20(35) -> 19* 20(194) -> 195* 20(46) -> 47* 20(278) -> 279* 20(365) -> 366* 20(189) -> 190* 20(47) -> 48* 20(56) -> 57* 20(392) -> 393* 20(403) -> 404* 20(304) -> 305* 20(200) -> 201* 20(20) -> 87* 20(109) -> 110* 20(73) -> 74* 20(97) -> 98* 20(364) -> 365* 20(34) -> 35* 20(437) -> 438* 20(249) -> 250* 20(295) -> 296* 20(197) -> 198* 20(250) -> 251* 20(429) -> 430* 20(74) -> 75* 20(166) -> 167* 20(326) -> 327* 20(411) -> 412* 20(99) -> 100* 20(191) -> 177* 20(435) -> 420* 20(373) -> 374* 20(186) -> 187* 20(43) -> 44* 20(229) -> 218* 20(438) -> 439* 20(25) -> 26* 20(92) -> 93* 20(117) -> 102* 20(106) -> 107* 20(446) -> 447* 20(83) -> 84* 20(428) -> 429* 20(157) -> 158* 20(265) -> 266* 20(261) -> 303* 20(4) -> 5* 20(327) -> 328* 20(300) -> 301* 20(388) -> 389* 20(306) -> 307* 20(161) -> 162* 20(422) -> 423* 20(55) -> 56* 20(172) -> 173* 20(257) -> 258* 20(294) -> 295* 20(2) -> 20* 20(419) -> 405* 20(270) -> 271* 20(156) -> 157* 20(378) -> 379* 20(269) -> 270* 20(328) -> 329* 20(84) -> 85* 20(165) -> 166* 20(320) -> 321* 20(351) -> 352* 20(363) -> 364* 20(107) -> 108* 20(81) -> 82* 20(441) -> 442* 20(59) -> 60* 20(162) -> 149* 20(256) -> 257* 20(353) -> 354* 20(387) -> 388* 20(147) -> 148* 20(333) -> 334* 20(336) -> 337* 20(38) -> 164* 20(94) -> 95* 20(187) -> 188* 20(312) -> 313* 20(227) -> 228* 20(404) -> 390* 20(372) -> 373* 20(366) -> 367* 20(206) -> 192* 20(434) -> 435* 20(258) -> 244* 20(146) -> 147* 20(311) -> 312* 20(105) -> 106* 20(344) -> 331* 20(239) -> 240* 20(148) -> 133* 20(324) -> 325* 20(131) -> 132* 20(374) -> 360* 20(39) -> 40* 20(339) -> 340* 20(276) -> 277* 20(221) -> 222* 20(449) -> 450* 20(213) -> 214* 20(167) -> 168* 20(119) -> 231* 20(450) -> 436* 20(155) -> 156* 20(225) -> 226* 20(234) -> 235* 20(180) -> 181* 20(343) -> 344* 20(252) -> 253* 20(16) -> 17* 20(26) -> 27* 20(317) -> 318* 20(222) -> 223* 20(430) -> 431* 20(376) -> 377* 20(7) -> 8* 20(112) -> 113* 20(80) -> 81* 20(15) -> 16* 20(193) -> 194* 20(204) -> 205* 20(290) -> 291* 20(318) -> 319* 20(3) -> 134* 20(399) -> 400* 20(424) -> 425* 20(93) -> 94* 20(122) -> 123* 20(120) -> 121* 20(14) -> 15* 20(37) -> 38* 20(407) -> 408* 20(22) -> 23* 20(296) -> 297* 20(61) -> 62* 20(423) -> 424* 20(11) -> 12* 20(142) -> 143* 20(305) -> 306* 20(346) -> 347* 20(418) -> 419* 20(152) -> 153* 20(132) -> 118* 20(354) -> 355* 20(128) -> 129* 20(262) -> 276* 20(164) -> 165* 20(272) -> 273* 20(179) -> 180* 20(176) -> 163* 420 -> 3,421 192 -> 53,54 163 -> 53,71,317 19 -> 70* 375 -> 20* 259 -> 53,54,178 360 -> 20* 69 -> 70,361 244 -> 53,54,178 118 -> 70* 230 -> 53,54,178 288 -> 53,37 52 -> 70* 345 -> 53* 302 -> 53,37,39 207 -> 53,54 177 -> 53,54 36 -> 70* 86 -> 70,406 390 -> 20* 316 -> 53,37 1 -> 70* 275 -> 53,37 331 -> 53,37 405 -> 20,87 218 -> 53,54 133 -> 70* 436 -> 3,21,391,89 149 -> 70,246 102 -> 70* problem: Qed