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