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