YES Problem: 0(1(0(x1))) -> 2(2(2(3(3(4(0(0(3(3(x1)))))))))) 4(1(0(x1))) -> 0(3(4(3(3(3(4(3(0(3(x1)))))))))) 3(0(1(4(x1)))) -> 3(2(5(0(3(4(3(4(3(3(x1)))))))))) 5(3(1(4(x1)))) -> 0(3(3(3(4(4(3(3(3(0(x1)))))))))) 0(1(3(5(2(3(x1)))))) -> 0(1(3(3(2(3(3(0(5(4(x1)))))))))) 0(1(4(2(4(5(x1)))))) -> 0(0(2(0(5(0(3(3(3(1(x1)))))))))) 1(0(0(4(1(4(x1)))))) -> 1(4(1(1(0(3(4(3(3(3(x1)))))))))) 1(5(3(1(1(0(x1)))))) -> 1(0(3(3(2(0(5(4(3(3(x1)))))))))) 1(5(3(2(4(0(x1)))))) -> 4(1(0(3(0(3(3(3(2(3(x1)))))))))) 2(1(4(1(5(0(x1)))))) -> 2(4(4(3(4(3(3(2(3(2(x1)))))))))) 2(4(2(1(4(1(x1)))))) -> 0(0(3(0(0(3(3(0(2(2(x1)))))))))) 2(5(3(1(5(4(x1)))))) -> 2(2(3(3(3(5(2(2(2(1(x1)))))))))) 3(0(0(2(3(1(x1)))))) -> 3(5(5(1(3(3(2(2(0(1(x1)))))))))) 3(1(1(0(1(0(x1)))))) -> 3(0(3(4(0(4(1(5(1(3(x1)))))))))) 5(3(2(1(0(0(x1)))))) -> 3(3(3(4(4(0(3(0(3(5(x1)))))))))) 5(3(5(3(2(5(x1)))))) -> 3(3(3(4(4(3(3(5(0(5(x1)))))))))) 0(0(1(0(1(2(3(x1))))))) -> 0(3(3(3(5(0(3(4(3(0(x1)))))))))) 0(1(1(4(1(4(0(x1))))))) -> 0(4(4(3(2(5(2(3(3(3(x1)))))))))) 0(2(4(1(5(2(4(x1))))))) -> 4(2(5(4(1(3(2(3(3(3(x1)))))))))) 1(2(3(1(5(3(2(x1))))))) -> 1(3(0(2(5(3(3(4(5(5(x1)))))))))) 1(4(4(5(3(2(5(x1))))))) -> 4(3(4(4(3(3(3(4(2(5(x1)))))))))) 1(5(0(2(3(1(0(x1))))))) -> 5(2(3(0(3(3(2(3(3(0(x1)))))))))) 1(5(3(1(1(5(3(x1))))))) -> 4(5(4(2(5(3(2(3(3(4(x1)))))))))) 1(5(4(2(4(4(0(x1))))))) -> 1(5(1(0(2(0(4(3(3(0(x1)))))))))) 2(0(3(1(5(1(3(x1))))))) -> 5(5(0(3(4(0(4(4(3(3(x1)))))))))) 2(1(0(1(0(2(4(x1))))))) -> 2(5(4(5(5(0(4(3(3(2(x1)))))))))) 2(1(4(1(2(0(0(x1))))))) -> 1(3(2(3(3(4(0(4(0(3(x1)))))))))) 2(1(4(4(4(4(1(x1))))))) -> 1(4(2(0(3(5(3(3(4(1(x1)))))))))) 2(3(1(3(1(4(1(x1))))))) -> 2(2(5(3(0(2(3(3(3(1(x1)))))))))) 2(3(1(4(5(0(1(x1))))))) -> 0(0(4(3(3(5(3(1(1(1(x1)))))))))) 2(4(1(3(1(5(5(x1))))))) -> 4(5(5(3(3(0(0(4(3(3(x1)))))))))) 2(4(4(4(4(1(0(x1))))))) -> 0(2(5(0(5(0(5(0(3(3(x1)))))))))) 3(1(0(2(1(4(4(x1))))))) -> 3(2(0(4(3(3(1(1(4(2(x1)))))))))) 3(1(0(3(0(4(3(x1))))))) -> 3(4(0(5(3(3(3(5(0(3(x1)))))))))) 3(1(4(1(0(1(0(x1))))))) -> 3(0(4(0(5(3(3(4(0(5(x1)))))))))) 3(1(4(2(1(5(3(x1))))))) -> 3(1(0(3(3(4(0(3(3(0(x1)))))))))) 3(1(5(3(0(5(0(x1))))))) -> 3(2(2(1(4(3(3(5(1(4(x1)))))))))) 3(1(5(3(1(2(4(x1))))))) -> 3(3(1(1(0(1(2(1(2(4(x1)))))))))) 3(1(5(4(4(3(2(x1))))))) -> 3(2(5(1(0(4(3(3(4(4(x1)))))))))) 3(2(2(1(4(1(0(x1))))))) -> 3(1(2(0(3(3(3(5(5(0(x1)))))))))) 4(0(2(4(4(3(2(x1))))))) -> 4(5(2(1(2(3(3(5(1(3(x1)))))))))) 4(0(5(5(3(1(1(x1))))))) -> 3(3(3(1(0(1(1(1(2(1(x1)))))))))) 4(2(4(3(1(1(0(x1))))))) -> 4(1(0(4(4(0(5(4(3(3(x1)))))))))) 4(5(5(0(2(4(0(x1))))))) -> 3(3(3(0(0(3(4(2(4(0(x1)))))))))) 5(1(3(1(4(4(1(x1))))))) -> 0(4(4(5(2(3(3(3(5(1(x1)))))))))) 5(1(5(3(1(1(0(x1))))))) -> 3(1(3(4(3(3(2(2(1(3(x1)))))))))) 5(2(0(0(2(2(4(x1))))))) -> 3(3(3(5(1(3(4(0(2(4(x1)))))))))) 5(3(1(1(5(5(4(x1))))))) -> 5(3(3(3(1(5(5(4(5(1(x1)))))))))) 5(3(5(4(1(3(1(x1))))))) -> 0(3(3(4(3(5(1(2(3(1(x1)))))))))) 5(5(1(0(1(1(0(x1))))))) -> 2(5(5(4(5(1(2(2(3(3(x1)))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {409,401,393,385,377,368,359,354,346,339,330,321,312, 303,296,288,280,271,264,257,248,242,233,225,217,210, 203,194,187,178,169,163,156,148,139,129,120,111,102, 93,83,74,67,59,49,39,29,21,12,1} transitions: 50(221) -> 222* 50(266) -> 267* 50(2) -> 130* 50(215) -> 216* 50(105) -> 106* 50(245) -> 246* 50(412) -> 413* 50(389) -> 390* 50(268) -> 269* 50(291) -> 292* 50(395) -> 396* 50(130) -> 170* 50(331) -> 332* 50(262) -> 263* 50(394) -> 395* 50(121) -> 122* 50(173) -> 174* 50(216) -> 210* 50(261) -> 262* 50(30) -> 331* 50(40) -> 41* 50(193) -> 187* 50(251) -> 252* 50(403) -> 404* 50(166) -> 167* 50(22) -> 68* 50(220) -> 221* 50(118) -> 119* 50(284) -> 285* 50(13) -> 281* 50(373) -> 374* 50(236) -> 237* 50(54) -> 55* 50(198) -> 199* 50(157) -> 158* 50(304) -> 305* 50(400) -> 393* 50(26) -> 27* 50(117) -> 118* 50(414) -> 415* 50(50) -> 369* 50(208) -> 209* 50(5) -> 265* 50(151) -> 152* 50(344) -> 345* 50(223) -> 224* 50(327) -> 328* 50(201) -> 202* 50(140) -> 141* 50(415) -> 416* 41(465) -> 466* 41(495) -> 496* 41(521) -> 522* 41(446) -> 447* 41(435) -> 436* 41(517) -> 518* 41(499) -> 500* 41(442) -> 443* 41(431) -> 432* 31(522) -> 523* 31(433) -> 434* 31(516) -> 517* 31(500) -> 501* 31(428) -> 429* 31(444) -> 445* 31(514) -> 515* 31(436) -> 437* 31(519) -> 520* 31(432) -> 433* 31(518) -> 519* 31(494) -> 495* 31(430) -> 431* 31(496) -> 497* 31(467) -> 468* 31(439) -> 440* 31(441) -> 442* 31(497) -> 498* 31(462) -> 463* 31(443) -> 444* 31(498) -> 499* 31(466) -> 467* 31(461) -> 462* 31(445) -> 446* 31(447) -> 448* 31(520) -> 521* 31(434) -> 435* 20(69) -> 70* 20(158) -> 159* 20(199) -> 200* 20(360) -> 361* 20(328) -> 329* 20(109) -> 110* 20(44) -> 45* 20(343) -> 344* 20(278) -> 279* 20(60) -> 157* 20(174) -> 175* 20(372) -> 373* 20(40) -> 313* 20(85) -> 86* 20(103) -> 104* 20(205) -> 206* 20(27) -> 28* 20(130) -> 179* 20(112) -> 113* 20(269) -> 270* 20(121) -> 378* 20(32) -> 188* 20(53) -> 243* 20(192) -> 193* 20(84) -> 94* 20(11) -> 1* 20(3) -> 75* 20(341) -> 342* 20(104) -> 105* 20(4) -> 410* 20(92) -> 83* 20(239) -> 240* 20(247) -> 242* 20(113) -> 114* 20(310) -> 311* 20(309) -> 310* 20(378) -> 379* 20(246) -> 247* 20(314) -> 315* 20(50) -> 103* 20(110) -> 102* 20(230) -> 231* 20(10) -> 11* 20(224) -> 217* 20(9) -> 10* 20(416) -> 409* 20(56) -> 57* 20(196) -> 197* 20(336) -> 337* 20(51) -> 402* 20(410) -> 411* 20(167) -> 168* 20(2) -> 84* 00(294) -> 295* 00(22) -> 258* 00(5) -> 6* 00(101) -> 93* 00(335) -> 336* 00(408) -> 401* 00(94) -> 95* 00(127) -> 128* 00(3) -> 13* 00(130) -> 140* 00(349) -> 350* 00(226) -> 227* 00(256) -> 248* 00(206) -> 207* 00(53) -> 54* 00(38) -> 29* 00(204) -> 205* 00(313) -> 386* 00(285) -> 286* 00(363) -> 364* 00(131) -> 132* 00(62) -> 63* 00(219) -> 220* 00(300) -> 301* 00(57) -> 58* 00(97) -> 98* 00(265) -> 266* 00(277) -> 278* 00(238) -> 239* 00(68) -> 69* 00(356) -> 357* 00(270) -> 264* 00(55) -> 56* 00(214) -> 215* 00(258) -> 259* 00(190) -> 191* 00(316) -> 317* 00(325) -> 326* 00(150) -> 151* 00(267) -> 268* 00(376) -> 368* 00(243) -> 244* 00(100) -> 101* 00(80) -> 81* 00(292) -> 293* 00(4) -> 5* 00(133) -> 134* 00(50) -> 112* 00(98) -> 99* 00(162) -> 156* 00(32) -> 297* 00(48) -> 39* 00(364) -> 365* 00(211) -> 212* 00(58) -> 49* 00(124) -> 125* 00(155) -> 148* 00(175) -> 176* 00(25) -> 26* 00(255) -> 256* 00(78) -> 79* 00(2) -> 30* 00(20) -> 12* 00(41) -> 42* 00(72) -> 73* 01(440) -> 441* 01(515) -> 516* 01(464) -> 465* 01(493) -> 494* 01(437) -> 438* 01(429) -> 430* 01(501) -> 502* 01(523) -> 524* 01(448) -> 449* 01(463) -> 464* 40(218) -> 219* 40(297) -> 298* 40(69) -> 355* 40(168) -> 163* 40(34) -> 35* 40(375) -> 376* 40(263) -> 257* 40(23) -> 24* 40(358) -> 354* 40(2) -> 40* 40(22) -> 211* 40(40) -> 322* 40(160) -> 161* 40(14) -> 15* 40(202) -> 194* 40(4) -> 22* 40(90) -> 91* 40(88) -> 89* 40(13) -> 226* 40(386) -> 387* 40(161) -> 162* 40(361) -> 362* 40(84) -> 272* 40(60) -> 61* 40(345) -> 339* 40(6) -> 7* 40(179) -> 180* 40(405) -> 406* 40(82) -> 74* 40(18) -> 19* 40(324) -> 325* 40(381) -> 382* 40(293) -> 294* 40(170) -> 171* 40(140) -> 289* 40(165) -> 166* 40(134) -> 135* 40(286) -> 287* 40(135) -> 136* 40(50) -> 234* 40(276) -> 277* 40(143) -> 144* 40(184) -> 185* 40(123) -> 124* 40(91) -> 92* 40(307) -> 308* 40(32) -> 204* 40(125) -> 126* 40(222) -> 223* 40(33) -> 34* 40(240) -> 241* 40(186) -> 178* 40(144) -> 145* 40(227) -> 228* 40(374) -> 375* 40(30) -> 360* 40(200) -> 201* 40(212) -> 213* 40(183) -> 184* 40(413) -> 414* 40(65) -> 66* 40(369) -> 394* 40(31) -> 149* 40(355) -> 356* 40(254) -> 255* 30(52) -> 53* 30(333) -> 334* 30(89) -> 90* 30(22) -> 23* 30(16) -> 17* 30(157) -> 164* 30(171) -> 172* 30(138) -> 129* 30(362) -> 363* 30(229) -> 230* 30(188) -> 189* 30(237) -> 238* 30(24) -> 25* 30(153) -> 154* 30(290) -> 291* 30(4) -> 60* 30(141) -> 142* 30(302) -> 296* 30(2) -> 3* 30(122) -> 340* 30(17) -> 18* 30(119) -> 111* 30(31) -> 32* 30(71) -> 72* 30(181) -> 182* 30(380) -> 381* 30(13) -> 14* 30(115) -> 116* 30(384) -> 377* 30(287) -> 280* 30(15) -> 16* 30(253) -> 254* 30(189) -> 190* 30(367) -> 359* 30(275) -> 276* 30(305) -> 306* 30(61) -> 62* 30(180) -> 181* 30(146) -> 147* 30(390) -> 391* 30(128) -> 120* 30(50) -> 51* 30(334) -> 335* 30(96) -> 97* 30(191) -> 192* 30(406) -> 407* 30(145) -> 146* 30(311) -> 303* 30(235) -> 236* 30(387) -> 388* 30(399) -> 400* 30(407) -> 408* 30(154) -> 155* 30(234) -> 235* 30(391) -> 392* 30(340) -> 341* 30(259) -> 260* 30(40) -> 195* 30(172) -> 173* 30(299) -> 300* 30(3) -> 4* 30(28) -> 21* 30(379) -> 380* 30(370) -> 371* 30(397) -> 398* 30(392) -> 385* 30(87) -> 88* 30(274) -> 275* 30(195) -> 196* 30(329) -> 321* 30(404) -> 405* 30(398) -> 399* 30(36) -> 37* 30(282) -> 283* 30(197) -> 198* 30(75) -> 76* 30(371) -> 372* 30(46) -> 47* 30(185) -> 186* 30(228) -> 229* 30(323) -> 324* 30(176) -> 177* 30(283) -> 284* 30(149) -> 150* 30(152) -> 153* 30(77) -> 78* 30(79) -> 80* 30(213) -> 214* 30(107) -> 108* 30(43) -> 44* 30(231) -> 232* 30(338) -> 330* 30(320) -> 312* 30(353) -> 346* 30(95) -> 96* 30(99) -> 100* 30(32) -> 33* 30(365) -> 366* 30(332) -> 333* 30(382) -> 383* 30(352) -> 353* 30(132) -> 133* 30(84) -> 85* 30(45) -> 46* 30(8) -> 9* 30(35) -> 36* 30(136) -> 137* 30(51) -> 52* 30(281) -> 282* 30(130) -> 131* 30(351) -> 352* 30(7) -> 8* 30(322) -> 323* 30(85) -> 218* 30(142) -> 143* 30(108) -> 109* 30(86) -> 87* 30(19) -> 20* 30(37) -> 38* 30(147) -> 139* 30(159) -> 160* 30(289) -> 290* 30(30) -> 31* 30(250) -> 251* 30(252) -> 253* 30(279) -> 271* 30(76) -> 77* 30(42) -> 43* 30(306) -> 307* 30(366) -> 367* 30(260) -> 261* 30(298) -> 299* 30(70) -> 71* 30(126) -> 127* 30(319) -> 320* 30(137) -> 138* 30(106) -> 107* 30(369) -> 370* 30(182) -> 183* 30(244) -> 245* 30(114) -> 115* 30(295) -> 288* 21(470) -> 471* 21(468) -> 469* 21(469) -> 470* 10(249) -> 250* 10(209) -> 203* 10(301) -> 302* 10(81) -> 82* 10(315) -> 316* 10(207) -> 208* 10(313) -> 314* 10(347) -> 348* 10(47) -> 48* 10(272) -> 273* 10(164) -> 165* 10(326) -> 327* 10(103) -> 347* 10(116) -> 117* 10(402) -> 403* 10(122) -> 123* 10(357) -> 358* 10(3) -> 121* 10(2) -> 50* 10(177) -> 169* 10(318) -> 319* 10(63) -> 64* 10(241) -> 233* 10(411) -> 412* 10(308) -> 309* 10(66) -> 59* 10(50) -> 249* 10(73) -> 67* 10(388) -> 389* 10(350) -> 351* 10(396) -> 397* 10(40) -> 304* 10(232) -> 225* 10(342) -> 343* 10(273) -> 274* 10(383) -> 384* 10(317) -> 318* 10(348) -> 349* 10(337) -> 338* 10(64) -> 65* f60() -> 2* 156 -> 30,112 312 -> 3,51 163 -> 30,386 321 -> 3,51 194 -> 50* 354 -> 40,272 210 -> 84* 74 -> 50* 203 -> 50* 148 -> 30* 462 -> 493* 242 -> 84,75,402 83 -> 84,103 393 -> 130* 217 -> 84,103 169 -> 50,403 12 -> 40,234 93 -> 84,313 359 -> 40,171 449 -> 354* 264 -> 84,313 67 -> 50* 368 -> 130,369,122 288 -> 3,51 377 -> 130,369 257 -> 84,313 346 -> 40,360,289 178 -> 50,304 72 -> 461* 21 -> 3,31 248 -> 84,75,402 385 -> 130* 233 -> 84,103 296 -> 3,51 330 -> 3,85 139 -> 130* 524 -> 124* 409 -> 130,170 1 -> 30,112 49 -> 30,112 59 -> 50* 187 -> 50* 225 -> 84,103 120 -> 3,51 39 -> 30,112 502 -> 234* 129 -> 130* 471 -> 112* 438 -> 74* 303 -> 3,51 401 -> 130* 80 -> 428* 356 -> 439* 271 -> 3,51 29 -> 130* 102 -> 84,179 280 -> 3,51 376 -> 514* 111 -> 3,31 339 -> 40,360,387 problem: Qed