YES Problem: 0(1(2(3(x1)))) -> 0(0(2(2(0(1(0(5(5(4(x1)))))))))) 0(1(4(0(x1)))) -> 1(5(4(2(2(4(2(2(4(2(x1)))))))))) 1(2(5(2(x1)))) -> 1(3(4(4(1(4(1(0(1(0(x1)))))))))) 2(1(2(0(x1)))) -> 0(2(0(0(4(2(2(0(4(2(x1)))))))))) 3(2(5(3(x1)))) -> 3(2(3(3(2(0(1(0(0(2(x1)))))))))) 3(3(5(0(x1)))) -> 3(0(1(5(4(3(1(3(0(2(x1)))))))))) 4(1(4(2(x1)))) -> 4(2(2(2(2(2(1(0(3(2(x1)))))))))) 0(4(5(1(2(x1))))) -> 0(4(0(3(0(4(5(1(5(5(x1)))))))))) 1(2(3(4(0(x1))))) -> 1(4(4(0(3(2(0(2(1(0(x1)))))))))) 1(2(5(2(5(x1))))) -> 1(3(2(3(0(0(5(0(3(0(x1)))))))))) 2(1(2(5(2(x1))))) -> 0(2(3(2(2(0(0(5(3(2(x1)))))))))) 2(2(5(4(5(x1))))) -> 2(0(2(0(3(5(5(1(5(5(x1)))))))))) 2(5(3(1(2(x1))))) -> 3(4(4(0(4(4(2(4(3(0(x1)))))))))) 2(5(5(5(0(x1))))) -> 3(2(2(2(5(5(4(1(0(0(x1)))))))))) 3(2(1(4(2(x1))))) -> 0(4(3(1(1(5(5(0(2(2(x1)))))))))) 3(3(3(5(0(x1))))) -> 3(2(4(1(5(0(0(0(0(0(x1)))))))))) 4(3(3(1(4(x1))))) -> 4(1(0(0(2(2(4(3(3(0(x1)))))))))) 5(3(1(2(4(x1))))) -> 5(5(4(1(3(0(0(3(0(4(x1)))))))))) 0(1(4(0(1(4(x1)))))) -> 0(2(0(1(3(4(3(1(5(2(x1)))))))))) 0(3(1(2(5(3(x1)))))) -> 0(1(0(4(5(5(4(1(5(3(x1)))))))))) 0(3(2(1(4(2(x1)))))) -> 0(1(0(0(2(0(3(5(3(2(x1)))))))))) 1(2(5(1(4(3(x1)))))) -> 0(3(3(4(3(0(1(0(3(3(x1)))))))))) 2(5(5(3(2(5(x1)))))) -> 0(0(0(3(0(2(1(4(2(3(x1)))))))))) 2(5(5(3(5(3(x1)))))) -> 3(2(2(1(5(3(0(2(0(3(x1)))))))))) 3(2(1(2(1(2(x1)))))) -> 3(3(5(1(1(3(1(0(2(2(x1)))))))))) 3(3(5(0(4(2(x1)))))) -> 3(0(0(2(0(4(1(4(4(2(x1)))))))))) 3(4(0(0(5(1(x1)))))) -> 3(0(0(4(2(1(0(3(0(1(x1)))))))))) 3(5(3(3(1(2(x1)))))) -> 1(5(4(3(3(5(4(5(2(2(x1)))))))))) 4(1(4(3(1(3(x1)))))) -> 4(0(2(2(2(3(2(4(4(3(x1)))))))))) 4(3(5(4(5(2(x1)))))) -> 5(3(0(3(2(2(3(1(5(2(x1)))))))))) 5(1(0(1(2(0(x1)))))) -> 5(4(2(1(0(2(4(3(1(0(x1)))))))))) 5(2(5(5(2(1(x1)))))) -> 1(5(4(5(3(2(3(2(0(1(x1)))))))))) 5(3(1(3(5(2(x1)))))) -> 5(0(1(0(2(0(0(0(5(2(x1)))))))))) 5(3(5(4(5(3(x1)))))) -> 5(3(0(0(0(4(1(0(4(4(x1)))))))))) 5(5(3(0(5(3(x1)))))) -> 5(4(3(0(4(2(2(4(3(0(x1)))))))))) 1(1(4(1(2(1(4(x1))))))) -> 1(2(5(2(0(0(3(1(5(5(x1)))))))))) 1(2(0(5(5(3(4(x1))))))) -> 0(5(4(4(1(5(0(4(4(4(x1)))))))))) 1(3(1(2(5(5(3(x1))))))) -> 3(3(3(0(4(4(0(0(3(3(x1)))))))))) 1(3(3(1(2(1(2(x1))))))) -> 3(1(3(3(0(1(3(4(5(5(x1)))))))))) 1(4(1(2(3(4(5(x1))))))) -> 1(1(0(4(4(2(5(4(4(5(x1)))))))))) 2(0(5(4(5(3(5(x1))))))) -> 2(0(2(1(4(4(0(0(0(4(x1)))))))))) 2(4(5(0(5(2(5(x1))))))) -> 0(4(3(2(1(1(1(4(2(3(x1)))))))))) 2(5(1(2(4(0(5(x1))))))) -> 0(0(5(5(5(0(0(0(3(3(x1)))))))))) 3(1(2(5(3(3(3(x1))))))) -> 1(0(3(0(5(1(1(5(5(0(x1)))))))))) 3(1(4(3(5(3(5(x1))))))) -> 0(0(0(3(4(2(4(1(2(5(x1)))))))))) 3(1(5(2(5(1(0(x1))))))) -> 3(4(4(2(3(4(0(4(0(2(x1)))))))))) 4(1(4(3(3(5(3(x1))))))) -> 4(2(1(3(0(4(3(2(2(0(x1)))))))))) 4(3(4(2(5(5(1(x1))))))) -> 5(2(0(4(1(3(0(1(1(1(x1)))))))))) 4(5(0(4(4(5(3(x1))))))) -> 4(4(5(1(1(1(5(4(4(0(x1)))))))))) 4(5(3(1(1(2(4(x1))))))) -> 4(4(1(4(4(3(2(1(0(4(x1)))))))))) 5(1(1(4(5(0(5(x1))))))) -> 5(0(3(4(2(1(1(5(5(3(x1)))))))))) 5(2(4(1(2(5(0(x1))))))) -> 5(4(3(0(0(4(4(1(5(0(x1)))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {426,418,410,401,392,383,375,366,357,351,345,337,328, 320,313,305,298,292,283,275,267,259,253,244,236,226, 218,211,202,193,184,177,167,158,149,141,133,124,115, 107,101,93,84,76,66,57,49,40,32,22,12,1} transitions: 40(309) -> 310* 40(168) -> 245* 40(272) -> 273* 40(113) -> 114* 40(252) -> 244* 40(2) -> 3* 40(245) -> 246* 40(265) -> 266* 40(409) -> 401* 40(386) -> 387* 40(315) -> 316* 40(377) -> 378* 40(68) -> 321* 40(23) -> 402* 40(332) -> 333* 40(109) -> 110* 40(422) -> 423* 40(85) -> 108* 40(131) -> 132* 40(138) -> 139* 40(173) -> 174* 40(110) -> 111* 40(310) -> 311* 40(81) -> 82* 40(380) -> 381* 40(65) -> 57* 40(381) -> 382* 40(413) -> 414* 40(70) -> 71* 40(329) -> 330* 40(74) -> 75* 40(3) -> 284* 40(189) -> 190* 40(35) -> 36* 40(416) -> 417* 40(16) -> 17* 40(14) -> 219* 40(314) -> 315* 40(52) -> 53* 40(194) -> 195* 40(232) -> 233* 40(155) -> 156* 40(161) -> 162* 40(67) -> 329* 40(41) -> 376* 40(220) -> 221* 40(148) -> 141* 40(339) -> 340* 40(284) -> 306* 40(402) -> 403* 40(13) -> 14* 40(428) -> 429* 40(28) -> 29* 40(241) -> 242* 40(333) -> 334* 40(260) -> 261* 40(26) -> 27* 40(117) -> 118* 40(370) -> 371* 40(414) -> 415* 40(368) -> 369* 40(408) -> 409* 40(237) -> 238* 40(349) -> 350* 40(391) -> 383* 40(293) -> 294* 40(82) -> 83* 40(427) -> 428* 40(417) -> 410* 40(397) -> 398* 40(142) -> 143* 40(340) -> 341* 40(296) -> 297* 40(112) -> 113* 40(432) -> 433* 40(29) -> 30* 40(286) -> 287* 40(19) -> 20* 40(170) -> 171* 41(452) -> 453* 41(451) -> 452* 41(449) -> 450* 31(453) -> 454* 00(168) -> 203* 00(116) -> 134* 00(88) -> 89* 00(200) -> 201* 00(279) -> 280* 00(13) -> 41* 00(77) -> 78* 00(199) -> 200* 00(287) -> 288* 00(145) -> 146* 00(185) -> 186* 00(5) -> 6* 00(58) -> 59* 00(187) -> 188* 00(41) -> 42* 00(343) -> 344* 00(229) -> 230* 00(186) -> 314* 00(338) -> 339* 00(276) -> 277* 00(174) -> 175* 00(372) -> 373* 00(73) -> 74* 00(289) -> 290* 00(201) -> 193* 00(39) -> 32* 00(183) -> 177* 00(85) -> 86* 00(75) -> 66* 00(103) -> 104* 00(374) -> 366* 00(180) -> 181* 00(312) -> 305* 00(7) -> 8* 00(251) -> 252* 00(387) -> 388* 00(111) -> 112* 00(221) -> 222* 00(262) -> 263* 00(316) -> 317* 00(125) -> 126* 00(132) -> 124* 00(23) -> 116* 00(94) -> 95* 00(256) -> 257* 00(100) -> 93* 00(176) -> 167* 00(87) -> 88* 00(14) -> 33* 00(135) -> 136* 00(192) -> 184* 00(11) -> 1* 00(284) -> 285* 00(164) -> 165* 00(3) -> 150* 00(223) -> 224* 00(281) -> 282* 00(181) -> 182* 00(150) -> 338* 00(178) -> 179* 00(151) -> 152* 00(234) -> 235* 00(37) -> 38* 00(334) -> 335* 00(394) -> 395* 00(233) -> 234* 00(159) -> 276* 00(373) -> 374* 00(43) -> 44* 00(376) -> 377* 00(71) -> 72* 00(355) -> 356* 00(294) -> 295* 00(24) -> 25* 00(55) -> 56* 00(323) -> 324* 00(152) -> 153* 00(36) -> 37* 00(350) -> 345* 00(429) -> 430* 00(80) -> 81* 00(166) -> 158* 00(314) -> 352* 00(95) -> 96* 00(364) -> 365* 00(277) -> 278* 00(105) -> 106* 00(146) -> 147* 00(398) -> 399* 00(356) -> 351* 00(197) -> 198* 00(300) -> 301* 00(10) -> 11* 00(204) -> 205* 00(134) -> 135* 00(288) -> 289* 00(224) -> 225* 00(306) -> 307* 00(430) -> 431* 00(299) -> 300* 00(227) -> 228* 00(362) -> 363* 00(424) -> 425* 00(2) -> 23* 50(215) -> 216* 50(425) -> 418* 50(171) -> 172* 50(127) -> 128* 50(3) -> 4* 50(352) -> 353* 50(86) -> 87* 50(271) -> 272* 50(206) -> 207* 50(53) -> 54* 50(307) -> 308* 50(330) -> 331* 50(282) -> 275* 50(168) -> 169* 50(69) -> 70* 50(67) -> 68* 50(156) -> 157* 50(118) -> 119* 50(169) -> 419* 50(13) -> 159* 50(273) -> 274* 50(23) -> 358* 50(238) -> 239* 50(125) -> 237* 50(302) -> 303* 50(358) -> 359* 50(403) -> 404* 50(172) -> 173* 50(400) -> 392* 50(126) -> 127* 50(407) -> 408* 50(258) -> 253* 50(70) -> 102* 50(242) -> 243* 50(119) -> 120* 50(353) -> 354* 50(136) -> 137* 50(4) -> 5* 50(433) -> 426* 50(291) -> 283* 50(266) -> 259* 50(361) -> 362* 50(297) -> 292* 50(157) -> 149* 50(58) -> 94* 50(354) -> 355* 50(311) -> 312* 50(2) -> 67* 50(20) -> 21* 11(446) -> 447* 11(454) -> 455* 11(450) -> 451* 11(448) -> 449* 10(219) -> 220* 10(404) -> 405* 10(346) -> 347* 10(243) -> 236* 10(367) -> 368* 10(389) -> 390* 10(393) -> 394* 10(54) -> 55* 10(308) -> 309* 10(154) -> 155* 10(147) -> 148* 10(213) -> 214* 10(263) -> 264* 10(23) -> 24* 10(358) -> 427* 10(360) -> 361* 10(2) -> 227* 10(116) -> 117* 10(182) -> 183* 10(163) -> 164* 10(196) -> 346* 10(214) -> 215* 10(126) -> 212* 10(42) -> 43* 10(322) -> 323* 10(230) -> 231* 10(396) -> 397* 10(274) -> 267* 10(6) -> 7* 10(27) -> 28* 10(336) -> 328* 10(83) -> 76* 10(405) -> 406* 10(59) -> 60* 10(68) -> 69* 10(128) -> 129* 10(304) -> 298* 10(420) -> 421* 10(326) -> 327* 10(159) -> 160* 10(419) -> 420* 10(285) -> 286* 10(406) -> 407* 10(50) -> 51* 10(150) -> 411* 10(21) -> 12* 10(207) -> 208* 10(365) -> 357* 10(129) -> 130* 10(195) -> 196* 10(280) -> 281* 10(335) -> 336* 10(186) -> 187* 10(25) -> 26* 10(359) -> 360* 10(341) -> 342* 10(227) -> 393* 10(415) -> 416* 10(92) -> 84* 10(169) -> 170* 10(137) -> 138* 10(31) -> 22* 10(175) -> 176* 20(254) -> 255* 20(44) -> 45* 20(24) -> 77* 20(269) -> 270* 20(2) -> 13* 20(122) -> 123* 20(17) -> 18* 20(246) -> 247* 20(67) -> 367* 20(62) -> 63* 20(13) -> 125* 20(384) -> 385* 20(411) -> 412* 20(15) -> 16* 20(61) -> 62* 20(208) -> 209* 20(390) -> 391* 20(261) -> 262* 20(248) -> 249* 20(161) -> 254* 20(96) -> 97* 20(196) -> 197* 20(9) -> 10* 20(399) -> 400* 20(264) -> 265* 20(104) -> 105* 20(121) -> 122* 20(64) -> 65* 20(97) -> 98* 20(139) -> 140* 20(47) -> 48* 20(249) -> 250* 20(379) -> 380* 20(18) -> 19* 20(222) -> 223* 20(331) -> 332* 20(90) -> 91* 20(109) -> 293* 20(228) -> 268* 20(209) -> 210* 20(120) -> 121* 20(342) -> 343* 20(231) -> 232* 20(203) -> 204* 20(347) -> 348* 20(60) -> 61* 20(38) -> 39* 20(99) -> 100* 20(168) -> 194* 20(143) -> 144* 20(344) -> 337* 20(34) -> 35* 20(179) -> 180* 20(8) -> 9* 20(278) -> 279* 20(108) -> 109* 20(144) -> 145* 20(421) -> 422* 20(250) -> 251* 20(63) -> 64* 20(14) -> 15* 20(78) -> 79* 20(301) -> 302* 20(165) -> 166* 20(23) -> 384* 20(33) -> 34* 20(106) -> 101* 20(369) -> 370* 20(303) -> 304* 01(447) -> 448* 01(445) -> 446* 30(257) -> 258* 30(412) -> 413* 30(160) -> 161* 30(150) -> 151* 30(153) -> 154* 30(51) -> 52* 30(382) -> 375* 30(327) -> 320* 30(102) -> 103* 30(13) -> 58* 30(56) -> 49* 30(363) -> 364* 30(210) -> 202* 30(319) -> 313* 30(371) -> 372* 30(255) -> 256* 30(168) -> 185* 30(423) -> 424* 30(431) -> 432* 30(30) -> 31* 30(41) -> 50* 30(45) -> 46* 30(228) -> 229* 30(2) -> 168* 30(89) -> 90* 30(162) -> 163* 30(240) -> 241* 30(318) -> 319* 30(239) -> 240* 30(216) -> 217* 30(85) -> 142* 30(212) -> 213* 30(324) -> 325* 30(325) -> 326* 30(69) -> 299* 30(378) -> 379* 30(140) -> 133* 30(191) -> 192* 30(23) -> 85* 30(217) -> 211* 30(114) -> 107* 30(190) -> 191* 30(91) -> 92* 30(46) -> 47* 30(225) -> 218* 30(295) -> 296* 30(388) -> 389* 30(130) -> 131* 30(188) -> 189* 30(98) -> 99* 30(270) -> 271* 30(94) -> 178* 30(205) -> 206* 30(268) -> 269* 30(24) -> 260* 30(198) -> 199* 30(79) -> 80* 30(247) -> 248* 30(385) -> 386* 30(317) -> 318* 30(72) -> 73* 30(395) -> 396* 30(321) -> 322* 30(290) -> 291* 30(48) -> 40* 30(123) -> 115* 30(348) -> 349* 30(235) -> 226* f60() -> 2* 418 -> 67* 328 -> 227* 351 -> 13,367 375 -> 168,161 259 -> 67* 320 -> 227* 267 -> 67,159 115 -> 13,367 158 -> 23,228 236 -> 168* 12 -> 23,228 357 -> 168* 93 -> 13* 66 -> 23,150 244 -> 3* 313 -> 227* 301 -> 445* 283 -> 67,169 292 -> 67,68,419 124 -> 168,58 22 -> 227,368 455 -> 298* 345 -> 13* 337 -> 13,384 141 -> 3,245 177 -> 23,203,59 253 -> 3,245 76 -> 227* 426 -> 67,159 392 -> 3,245 410 -> 3,329 101 -> 13,125 305 -> 227* 40 -> 168,58 1 -> 23,228 49 -> 168,185 107 -> 13,367 193 -> 13,367 275 -> 67,169 298 -> 227,393 218 -> 168,185 57 -> 3* 184 -> 227,368 226 -> 168* 133 -> 168,185 211 -> 168,58 149 -> 67,169 167 -> 23,203 84 -> 227,368 383 -> 3* 401 -> 3,329 202 -> 13,367 32 -> 13* 366 -> 168* problem: Qed