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