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