YES Problem: 0(5(x1)) -> 2(4(5(0(4(2(5(2(3(2(x1)))))))))) 0(5(x1)) -> 3(3(4(2(4(4(3(5(0(2(x1)))))))))) 0(5(x1)) -> 5(1(3(2(4(0(4(1(4(5(x1)))))))))) 1(0(5(x1))) -> 1(1(1(4(4(4(5(5(0(4(x1)))))))))) 1(5(2(x1))) -> 1(1(2(3(3(3(4(4(4(4(x1)))))))))) 0(0(5(3(x1)))) -> 5(4(4(3(3(3(4(3(3(3(x1)))))))))) 0(5(0(5(x1)))) -> 4(4(1(3(0(4(3(4(2(4(x1)))))))))) 0(5(1(4(x1)))) -> 5(3(1(4(4(4(3(4(5(4(x1)))))))))) 1(5(0(5(x1)))) -> 1(3(5(4(2(2(4(5(0(1(x1)))))))))) 2(0(5(5(x1)))) -> 3(5(4(3(3(4(3(3(4(2(x1)))))))))) 4(1(0(5(x1)))) -> 4(0(2(1(3(1(4(5(3(1(x1)))))))))) 0(5(2(0(3(x1))))) -> 3(0(0(1(1(0(4(5(1(3(x1)))))))))) 0(5(2(1(5(x1))))) -> 5(4(0(3(5(4(4(2(2(4(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(5(1(4(0(2(5(4(4(x1)))))))))) 1(0(5(1(0(x1))))) -> 0(2(1(3(1(1(4(0(1(0(x1)))))))))) 2(0(5(1(4(x1))))) -> 4(5(5(4(4(5(3(2(2(3(x1)))))))))) 2(1(2(1(2(x1))))) -> 2(3(2(4(2(2(5(3(4(3(x1)))))))))) 4(0(0(5(1(x1))))) -> 1(0(2(4(0(4(2(0(3(0(x1)))))))))) 5(1(3(0(5(x1))))) -> 0(4(0(3(2(5(4(5(3(0(x1)))))))))) 0(0(3(5(0(5(x1)))))) -> 0(4(1(5(2(0(4(2(4(3(x1)))))))))) 0(0(5(3(2(0(x1)))))) -> 0(3(0(4(3(3(0(1(3(0(x1)))))))))) 0(5(0(0(0(5(x1)))))) -> 5(5(0(2(4(4(1(1(3(5(x1)))))))))) 1(0(0(5(5(2(x1)))))) -> 4(5(1(0(2(2(5(3(5(5(x1)))))))))) 1(0(2(2(1(2(x1)))))) -> 1(5(0(2(4(0(4(4(1(2(x1)))))))))) 1(0(5(0(2(0(x1)))))) -> 0(5(0(2(5(1(3(0(3(4(x1)))))))))) 1(3(2(2(2(1(x1)))))) -> 0(1(2(5(0(4(2(5(5(0(x1)))))))))) 2(0(0(5(0(5(x1)))))) -> 4(4(1(5(5(2(5(5(3(5(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 1(5(1(4(0(3(2(4(0(4(x1)))))))))) 2(1(0(5(0(5(x1)))))) -> 3(4(2(1(0(1(2(4(4(5(x1)))))))))) 4(1(0(5(0(4(x1)))))) -> 4(1(2(1(4(3(0(1(0(4(x1)))))))))) 5(5(0(5(5(1(x1)))))) -> 5(5(5(2(1(2(3(5(4(0(x1)))))))))) 0(0(0(5(4(2(1(x1))))))) -> 5(3(0(2(5(2(1(4(3(2(x1)))))))))) 0(0(0(5(5(1(5(x1))))))) -> 0(4(4(5(3(2(1(2(0(1(x1)))))))))) 0(5(1(2(1(2(4(x1))))))) -> 0(3(5(0(5(4(2(2(3(5(x1)))))))))) 1(0(4(5(5(1(5(x1))))))) -> 1(5(0(4(1(4(4(4(0(4(x1)))))))))) 2(0(0(0(5(2(1(x1))))))) -> 2(2(5(4(1(3(1(4(3(1(x1)))))))))) 2(0(3(0(4(1(5(x1))))))) -> 2(0(1(2(4(3(5(5(3(0(x1)))))))))) 2(2(4(1(0(5(5(x1))))))) -> 4(4(3(3(0(0(2(4(4(2(x1)))))))))) 3(2(0(5(4(1(5(x1))))))) -> 3(5(1(4(2(0(4(3(2(4(x1)))))))))) 3(3(0(1(2(0(3(x1))))))) -> 5(4(4(2(3(5(2(4(0(3(x1)))))))))) 4(0(5(2(0(5(0(x1))))))) -> 4(3(4(5(4(0(5(2(3(0(x1)))))))))) 4(0(5(5(5(0(5(x1))))))) -> 1(3(0(2(3(1(2(0(2(2(x1)))))))))) 5(1(5(0(5(3(5(x1))))))) -> 5(4(3(0(5(4(4(2(0(5(x1)))))))))) 5(2(2(1(0(0(5(x1))))))) -> 5(1(5(4(5(5(3(0(1(4(x1)))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {375,366,357,349,340,332,324,317,309,302,294,286,278, 269,261,253,245,237,228,219,210,201,192,184,176,168, 159,150,141,131,123,115,106,97,88,78,69,60,50,41,31, 21,12,1} transitions: 11(690) -> 691* 11(884) -> 885* 11(744) -> 745* 11(684) -> 685* 11(673) -> 674* 11(797) -> 798* 11(602) -> 603* 11(635) -> 636* 11(679) -> 680* 11(724) -> 725* 11(629) -> 630* 11(640) -> 641* 11(791) -> 792* 11(596) -> 597* 11(723) -> 724* 11(890) -> 891* 11(646) -> 647* 31(546) -> 547* 31(889) -> 890* 31(551) -> 552* 31(738) -> 739* 31(521) -> 522* 31(678) -> 679* 31(749) -> 750* 31(552) -> 553* 31(556) -> 557* 31(516) -> 517* 31(634) -> 635* 31(824) -> 825* 31(562) -> 563* 31(782) -> 783* 31(601) -> 602* 31(418) -> 419* 31(511) -> 512* 31(591) -> 592* 31(429) -> 430* 31(788) -> 789* 31(586) -> 587* 31(561) -> 562* 31(719) -> 720* 31(721) -> 722* 31(880) -> 881* 31(874) -> 875* 31(820) -> 821* 31(462) -> 463* 31(473) -> 474* 31(506) -> 507* 31(592) -> 593* 31(787) -> 788* 31(841) -> 842* 31(512) -> 513* 31(645) -> 646* 31(879) -> 880* 31(385) -> 386* 31(720) -> 721* 31(796) -> 797* 31(823) -> 824* 31(522) -> 523* 31(741) -> 742* 31(821) -> 822* 31(827) -> 828* 31(689) -> 690* 20(171) -> 172* 20(153) -> 154* 20(47) -> 48* 20(160) -> 350* 20(158) -> 150* 20(193) -> 295* 20(179) -> 180* 20(367) -> 368* 20(266) -> 267* 20(142) -> 143* 20(154) -> 155* 20(342) -> 343* 20(82) -> 83* 20(103) -> 104* 20(205) -> 206* 20(165) -> 166* 20(27) -> 28* 20(345) -> 346* 20(280) -> 281* 20(295) -> 296* 20(139) -> 140* 20(161) -> 162* 20(32) -> 61* 20(316) -> 309* 20(320) -> 321* 20(83) -> 84* 20(6) -> 7* 20(325) -> 326* 20(11) -> 1* 20(17) -> 18* 20(282) -> 283* 20(3) -> 358* 20(272) -> 273* 20(315) -> 316* 20(254) -> 255* 20(151) -> 177* 20(234) -> 235* 20(61) -> 116* 20(124) -> 125* 20(4) -> 5* 20(239) -> 240* 20(323) -> 317* 20(215) -> 216* 20(80) -> 287* 20(246) -> 247* 20(359) -> 360* 20(197) -> 198* 20(230) -> 231* 20(204) -> 205* 20(258) -> 259* 20(288) -> 289* 20(224) -> 225* 20(335) -> 336* 20(362) -> 363* 20(156) -> 157* 20(274) -> 275* 20(51) -> 142* 20(2) -> 3* f60() -> 2* 10(257) -> 258* 10(160) -> 185* 10(51) -> 107* 10(100) -> 101* 10(382) -> 383* 10(207) -> 208* 10(39) -> 40* 10(136) -> 137* 10(102) -> 103* 10(33) -> 262* 10(110) -> 111* 10(29) -> 30* 10(287) -> 288* 10(255) -> 256* 10(304) -> 305* 10(75) -> 76* 10(3) -> 211* 10(2) -> 79* 10(111) -> 112* 10(310) -> 311* 10(218) -> 210* 10(279) -> 280* 10(49) -> 41* 10(38) -> 39* 10(127) -> 128* 10(308) -> 302* 10(66) -> 67* 10(252) -> 245* 10(167) -> 159* 10(194) -> 195* 10(23) -> 24* 10(365) -> 357* 10(222) -> 223* 10(360) -> 361* 10(242) -> 243* 10(181) -> 182* 10(250) -> 251* 10(32) -> 376* 10(40) -> 31* 10(193) -> 194* 10(273) -> 274* 10(312) -> 313* 10(321) -> 322* 10(265) -> 266* 10(87) -> 78* 10(48) -> 49* 10(135) -> 136* 10(132) -> 133* 10(138) -> 139* 10(235) -> 236* 10(337) -> 338* 10(267) -> 268* 30(221) -> 222* 30(2) -> 51* 30(71) -> 72* 30(187) -> 188* 30(55) -> 56* 30(377) -> 378* 30(328) -> 329* 30(300) -> 301* 30(76) -> 77* 30(51) -> 52* 30(45) -> 46* 30(361) -> 362* 30(79) -> 98* 30(114) -> 106* 30(247) -> 248* 30(32) -> 220* 30(190) -> 191* 30(311) -> 312* 30(65) -> 66* 30(137) -> 138* 30(62) -> 63* 30(329) -> 330* 30(3) -> 4* 30(289) -> 290* 30(14) -> 15* 30(119) -> 120* 30(271) -> 272* 30(52) -> 53* 30(89) -> 90* 30(20) -> 12* 30(92) -> 93* 30(22) -> 193* 30(93) -> 94* 30(339) -> 332* 30(284) -> 285* 30(90) -> 91* 30(56) -> 57* 30(28) -> 29* 30(54) -> 55* 30(355) -> 356* 30(157) -> 158* 30(202) -> 203* 30(96) -> 88* 30(260) -> 253* 30(44) -> 45* 30(129) -> 130* 30(263) -> 264* 30(86) -> 87* 30(61) -> 333* 30(172) -> 173* 30(372) -> 373* 30(151) -> 152* 30(46) -> 47* 30(344) -> 345* 30(318) -> 319* 30(364) -> 365* 30(132) -> 160* 30(186) -> 187* 30(101) -> 102* 30(143) -> 144* 30(19) -> 20* 40(333) -> 334* 40(89) -> 325* 40(22) -> 23* 40(16) -> 17* 40(211) -> 212* 40(68) -> 60* 40(354) -> 355* 40(188) -> 189* 40(24) -> 25* 40(214) -> 215* 40(4) -> 279* 40(330) -> 331* 40(2) -> 32* 40(291) -> 292* 40(10) -> 11* 40(336) -> 337* 40(296) -> 297* 40(373) -> 374* 40(246) -> 303* 40(67) -> 68* 40(380) -> 381* 40(117) -> 118* 40(53) -> 54* 40(74) -> 75* 40(15) -> 16* 40(305) -> 306* 40(72) -> 73* 40(61) -> 62* 40(162) -> 163* 40(94) -> 95* 40(146) -> 147* 40(196) -> 197* 40(145) -> 146* 40(116) -> 117* 40(57) -> 58* 40(264) -> 265* 40(313) -> 314* 40(121) -> 122* 40(164) -> 165* 40(259) -> 260* 40(243) -> 244* 40(249) -> 250* 40(3) -> 89* 40(18) -> 19* 40(195) -> 196* 40(36) -> 37* 40(331) -> 324* 40(268) -> 261* 40(209) -> 201* 40(155) -> 156* 40(149) -> 141* 40(341) -> 342* 40(43) -> 44* 40(134) -> 135* 40(231) -> 232* 40(347) -> 348* 40(99) -> 100* 40(32) -> 42* 40(105) -> 97* 40(352) -> 353* 40(356) -> 349* 40(132) -> 270* 40(84) -> 85* 40(174) -> 175* 40(35) -> 36* 40(51) -> 151* 40(58) -> 59* 40(368) -> 369* 40(7) -> 8* 40(169) -> 170* 40(292) -> 293* 40(212) -> 213* 40(108) -> 109* 40(37) -> 38* 40(63) -> 64* 40(91) -> 92* 40(42) -> 43* 40(26) -> 27* 40(81) -> 82* 40(70) -> 71* 40(73) -> 74* 40(346) -> 347* 40(23) -> 254* 40(126) -> 127* 40(319) -> 320* 40(177) -> 178* 40(33) -> 246* 40(369) -> 370* 40(98) -> 310* 40(182) -> 183* 40(244) -> 237* 40(303) -> 304* 00(22) -> 367* 00(104) -> 105* 00(301) -> 294* 00(248) -> 249* 00(3) -> 13* 00(189) -> 190* 00(327) -> 328* 00(166) -> 167* 00(256) -> 257* 00(178) -> 179* 00(206) -> 207* 00(306) -> 307* 00(363) -> 364* 00(216) -> 217* 00(262) -> 263* 00(236) -> 228* 00(351) -> 352* 00(79) -> 80* 00(64) -> 65* 00(322) -> 323* 00(163) -> 164* 00(183) -> 176* 00(125) -> 126* 00(358) -> 359* 00(298) -> 299* 00(334) -> 335* 00(191) -> 184* 00(8) -> 9* 00(198) -> 199* 00(185) -> 186* 00(376) -> 377* 00(232) -> 233* 00(220) -> 221* 00(140) -> 131* 00(283) -> 284* 00(173) -> 174* 00(112) -> 113* 00(371) -> 372* 00(133) -> 134* 00(293) -> 286* 00(32) -> 33* 00(51) -> 341* 00(227) -> 219* 00(113) -> 114* 00(326) -> 327* 00(225) -> 226* 00(120) -> 121* 00(160) -> 161* 00(175) -> 168* 00(25) -> 26* 00(2) -> 132* 00(213) -> 214* 00(109) -> 110* 50(370) -> 371* 50(132) -> 229* 50(297) -> 298* 50(217) -> 218* 50(226) -> 227* 50(152) -> 153* 50(34) -> 35* 50(241) -> 242* 50(277) -> 269* 50(85) -> 86* 50(223) -> 224* 50(147) -> 148* 50(348) -> 340* 50(2) -> 22* 50(122) -> 115* 50(22) -> 202* 50(160) -> 169* 50(343) -> 344* 50(5) -> 6* 50(338) -> 339* 50(107) -> 108* 50(13) -> 14* 50(281) -> 282* 50(233) -> 234* 50(42) -> 124* 50(148) -> 149* 50(299) -> 300* 50(379) -> 380* 50(118) -> 119* 50(314) -> 315* 50(208) -> 209* 50(59) -> 50* 50(9) -> 10* 50(199) -> 200* 50(128) -> 129* 50(381) -> 382* 50(170) -> 171* 50(238) -> 239* 50(290) -> 291* 50(285) -> 278* 50(80) -> 81* 50(276) -> 277* 50(275) -> 276* 50(307) -> 308* 50(77) -> 69* 50(32) -> 70* 50(98) -> 99* 50(33) -> 34* 50(240) -> 241* 50(251) -> 252* 50(193) -> 238* 50(95) -> 96* 50(144) -> 145* 50(350) -> 351* 50(374) -> 366* 50(353) -> 354* 50(378) -> 379* 50(270) -> 271* 50(30) -> 21* 50(200) -> 192* 50(229) -> 230* 50(169) -> 318* 50(203) -> 204* 50(180) -> 181* 50(130) -> 123* 50(383) -> 375* 41(753) -> 754* 41(422) -> 423* 41(425) -> 426* 41(480) -> 481* 41(683) -> 684* 41(875) -> 876* 41(845) -> 846* 41(510) -> 511* 41(784) -> 785* 41(786) -> 787* 41(878) -> 879* 41(595) -> 596* 41(588) -> 589* 41(560) -> 561* 41(518) -> 519* 41(783) -> 784* 41(466) -> 467* 41(632) -> 633* 41(392) -> 393* 41(676) -> 677* 41(717) -> 718* 41(742) -> 743* 41(550) -> 551* 41(477) -> 478* 41(718) -> 719* 41(508) -> 509* 41(848) -> 849* 41(628) -> 629* 41(883) -> 884* 41(630) -> 631* 41(674) -> 675* 41(507) -> 508* 41(643) -> 644* 41(599) -> 600* 41(685) -> 686* 41(436) -> 437* 41(672) -> 673* 41(687) -> 688* 41(557) -> 558* 41(587) -> 588* 41(825) -> 826* 41(885) -> 886* 41(756) -> 757* 41(389) -> 390* 41(715) -> 716* 41(887) -> 888* 41(520) -> 521* 41(822) -> 823* 41(597) -> 598* 41(792) -> 793* 41(558) -> 559* 41(819) -> 820* 41(790) -> 791* 41(547) -> 548* 41(469) -> 470* 41(639) -> 640* 41(548) -> 549* 41(876) -> 877* 41(517) -> 518* 41(433) -> 434* 41(590) -> 591* 41(716) -> 717* 41(641) -> 642* 41(794) -> 795* 01(423) -> 424* 01(686) -> 687* 01(780) -> 781* 01(886) -> 887* 01(631) -> 632* 01(754) -> 755* 01(584) -> 585* 01(434) -> 435* 01(642) -> 643* 01(737) -> 738* 01(872) -> 873* 01(793) -> 794* 01(846) -> 847* 01(478) -> 479* 01(390) -> 391* 01(514) -> 515* 01(745) -> 746* 01(554) -> 555* 01(467) -> 468* 01(544) -> 545* 01(598) -> 599* 01(675) -> 676* 01(504) -> 505* 51(387) -> 388* 51(464) -> 465* 51(751) -> 752* 51(755) -> 756* 51(816) -> 817* 51(843) -> 844* 51(468) -> 469* 51(424) -> 425* 51(781) -> 782* 51(505) -> 506* 51(891) -> 892* 51(435) -> 436* 51(603) -> 604* 51(431) -> 432* 51(479) -> 480* 51(555) -> 556* 51(882) -> 883* 51(847) -> 848* 51(671) -> 672* 51(739) -> 740* 51(594) -> 595* 51(515) -> 516* 51(627) -> 628* 51(910) -> 911* 51(691) -> 692* 51(826) -> 827* 51(636) -> 637* 51(740) -> 741* 51(798) -> 799* 51(873) -> 874* 51(680) -> 681* 51(391) -> 392* 51(420) -> 421* 51(682) -> 683* 51(545) -> 546* 51(647) -> 648* 51(475) -> 476* 51(916) -> 917* 51(638) -> 639* 51(585) -> 586* 21(393) -> 394* 21(914) -> 915* 21(386) -> 387* 21(722) -> 723* 21(437) -> 438* 21(877) -> 878* 21(428) -> 429* 21(481) -> 482* 21(757) -> 758* 21(746) -> 747* 21(549) -> 550* 21(509) -> 510* 21(472) -> 473* 21(474) -> 475* 21(818) -> 819* 21(519) -> 520* 21(888) -> 889* 21(432) -> 433* 21(849) -> 850* 21(426) -> 427* 21(677) -> 678* 21(844) -> 845* 21(465) -> 466* 21(470) -> 471* 21(589) -> 590* 21(810) -> 811* 21(463) -> 464* 21(430) -> 431* 21(795) -> 796* 21(748) -> 749* 21(750) -> 751* 21(743) -> 744* 21(840) -> 841* 21(417) -> 418* 21(752) -> 753* 21(476) -> 477* 21(904) -> 905* 21(688) -> 689* 21(421) -> 422* 21(559) -> 560* 21(785) -> 786* 21(633) -> 634* 21(461) -> 462* 21(842) -> 843* 21(419) -> 420* 21(644) -> 645* 21(600) -> 601* 21(384) -> 385* 21(388) -> 389* 513 -> 352* 228 -> 79,107 192 -> 132,367 427 -> 372* 725 -> 182* 317 -> 3,473,162 210 -> 79,133 418 -> 514* 375 -> 22* 131 -> 79,133 482 -> 367* 340 -> 51,52 523 -> 372* 324 -> 3,473,358,116 462 -> 554* 159 -> 32,270 168 -> 683,22,108 245 -> 3,473,162 905 -> 473* 828 -> 368* 115 -> 132,367 278 -> 132* 637 -> 372* 681 -> 299* 758 -> 80,134 69 -> 132,367 563 -> 299* 370 -> 627,417 12 -> 132* 357 -> 32,270 348 -> 882,840 106 -> 132,367 593 -> 367* 850 -> 341* 604 -> 352* 180 -> 737* 2 -> 682,472 350 -> 594,384 237 -> 3,473 394 -> 352* 799 -> 80,134 88 -> 3,473,368 302 -> 79,133,262 648 -> 790,219 277 -> 816,810 911 -> 683* 150 -> 3,473 141 -> 3,473,368 21 -> 132* 201 -> 79,133 385 -> 504* 349 -> 32,270 309 -> 3,473 269 -> 22,202,230 253 -> 3,473 297 -> 671,461 881 -> 341* 261 -> 32* 179 -> 715* 747 -> 162* 60 -> 132,367 332 -> 51,474,4 841 -> 872* 123 -> 132,367 1 -> 132* 31 -> 79,133 473 -> 584* 892 -> 341* 749 -> 780* 692 -> 367* 647 -> 748* 219 -> 79,133 817 -> 683* 553 -> 219* 50 -> 132* 184 -> 132* 41 -> 79* 226 -> 638,428 276 -> 818* 811 -> 473* 471 -> 299* 383 -> 916,914 438 -> 219* 374 -> 910,904 294 -> 132,367 915 -> 473* 97 -> 32* 286 -> 132* 789 -> 80,134 917 -> 683* 176 -> 132* 429 -> 544* 366 -> 22* 78 -> 79* problem: Qed