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