YES Problem: 0(1(0(x1))) -> 2(0(0(1(x1)))) 0(1(0(x1))) -> 0(1(2(2(0(x1))))) 0(1(0(x1))) -> 2(0(0(3(1(x1))))) 0(1(0(x1))) -> 0(1(2(4(0(3(x1)))))) 0(1(0(x1))) -> 1(2(2(0(0(4(x1)))))) 0(1(0(x1))) -> 1(2(3(4(0(0(x1)))))) 0(1(0(x1))) -> 1(3(2(0(0(0(x1)))))) 0(1(0(x1))) -> 1(3(4(0(2(0(x1)))))) 0(1(0(x1))) -> 1(3(4(4(0(0(x1)))))) 0(1(0(x1))) -> 2(0(0(1(2(2(x1)))))) 0(1(0(x1))) -> 2(0(0(2(0(1(x1)))))) 0(1(0(x1))) -> 2(0(0(3(0(1(x1)))))) 0(1(0(x1))) -> 2(0(2(0(4(1(x1)))))) 0(1(0(x1))) -> 2(1(2(2(0(0(x1)))))) 0(1(0(x1))) -> 2(4(0(4(0(1(x1)))))) 0(1(0(x1))) -> 4(1(2(2(0(0(x1)))))) 0(1(1(0(x1)))) -> 2(2(0(0(1(1(x1)))))) 0(1(5(0(x1)))) -> 0(3(5(1(0(x1))))) 0(1(5(0(x1)))) -> 0(3(3(5(1(0(x1)))))) 0(5(5(0(x1)))) -> 2(2(0(0(5(5(x1)))))) 1(0(1(0(x1)))) -> 1(1(3(5(0(0(x1)))))) 1(3(0(1(x1)))) -> 1(1(0(3(4(1(x1)))))) 1(3(0(1(x1)))) -> 5(1(1(3(4(0(x1)))))) 3(0(1(0(x1)))) -> 0(1(3(2(0(4(x1)))))) 3(0(1(0(x1)))) -> 2(0(4(3(0(1(x1)))))) 3(0(1(0(x1)))) -> 2(2(3(0(0(1(x1)))))) 3(0(1(0(x1)))) -> 3(0(2(2(0(1(x1)))))) 3(1(0(0(x1)))) -> 1(0(3(4(0(x1))))) 3(1(0(0(x1)))) -> 2(0(3(1(0(x1))))) 3(1(0(0(x1)))) -> 3(0(0(5(1(x1))))) 3(1(0(0(x1)))) -> 1(2(0(3(0(2(x1)))))) 3(1(0(0(x1)))) -> 3(1(3(0(2(0(x1)))))) 3(1(5(0(x1)))) -> 1(1(3(5(0(x1))))) 3(1(5(0(x1)))) -> 0(2(5(1(3(5(x1)))))) 3(1(5(0(x1)))) -> 0(3(1(3(4(5(x1)))))) 3(1(5(0(x1)))) -> 1(5(2(3(5(0(x1)))))) 3(1(5(0(x1)))) -> 3(1(4(0(2(5(x1)))))) 3(1(5(0(x1)))) -> 4(0(5(1(3(5(x1)))))) 0(0(2(1(0(x1))))) -> 2(0(0(0(3(1(x1)))))) 0(1(2(0(1(x1))))) -> 0(0(1(3(2(1(x1)))))) 0(1(2(0(1(x1))))) -> 0(2(0(3(1(1(x1)))))) 1(3(0(2(1(x1))))) -> 0(2(1(1(3(2(x1)))))) 1(3(0(2(1(x1))))) -> 0(3(2(2(1(1(x1)))))) 1(3(0(5(5(x1))))) -> 0(5(4(3(5(1(x1)))))) 1(3(1(5(0(x1))))) -> 1(3(1(5(2(0(x1)))))) 3(0(5(0(0(x1))))) -> 3(0(0(3(5(0(x1)))))) 3(0(5(5(0(x1))))) -> 5(0(2(3(5(0(x1)))))) 3(1(4(0(0(x1))))) -> 1(0(0(3(4(0(x1)))))) 3(1(4(5(0(x1))))) -> 0(5(1(3(5(4(x1)))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {190,188,186,183,179,175,171,166,162,157,155,153,148, 145,140,135,131,128,123,119,116,114,111,108,105,101, 96,92,88,82,80,76,71,70,66,62,57,53,49,43,40,36,32, 27,21,15,11,6,1} transitions: 40(2) -> 22* 40(68) -> 69* 40(37) -> 38* 40(176) -> 177* 40(150) -> 151* 40(65) -> 70* 40(3) -> 58* 40(154) -> 153* 40(83) -> 141* 40(7) -> 97* 40(28) -> 29* 40(4) -> 67* 40(54) -> 106* 40(17) -> 18* 40(29) -> 41* 21(264) -> 265* 21(635) -> 636* 21(617) -> 618* 21(231) -> 232* 21(553) -> 554* 21(520) -> 521* 21(285) -> 286* 21(265) -> 266* 21(644) -> 645* 21(211) -> 212* 21(270) -> 271* 21(347) -> 348* 21(564) -> 565* 21(466) -> 467* 21(284) -> 285* 21(427) -> 428* 21(500) -> 501* 21(202) -> 203* 21(304) -> 305* 21(459) -> 460* 21(540) -> 541* 21(403) -> 404* 21(423) -> 424* 21(429) -> 430* 21(655) -> 656* 21(239) -> 240* 21(597) -> 598* 21(367) -> 368* 21(223) -> 224* 21(206) -> 207* 21(480) -> 481* 21(443) -> 444* 21(344) -> 345* 21(368) -> 369* 21(501) -> 502* 21(305) -> 306* 21(543) -> 544* 21(212) -> 213* 21(247) -> 248* 21(357) -> 358* 21(541) -> 542* 21(345) -> 346* 21(563) -> 564* 21(481) -> 482* 21(324) -> 325* 31(651) -> 652* 31(353) -> 354* 31(549) -> 550* 31(321) -> 322* 31(297) -> 298* 31(589) -> 590* 31(425) -> 426* 31(203) -> 204* 31(213) -> 214* 31(431) -> 432* 31(609) -> 610* 31(485) -> 486* 31(645) -> 646* 31(449) -> 450* 31(289) -> 290* 31(517) -> 518* 31(409) -> 410* 31(401) -> 402* 31(325) -> 326* 31(385) -> 386* 31(627) -> 628* 31(521) -> 522* 31(493) -> 494* 20(69) -> 66* 20(72) -> 172* 20(169) -> 170* 20(5) -> 1* 20(109) -> 110* 20(59) -> 60* 20(44) -> 45* 20(126) -> 127* 20(75) -> 71* 20(172) -> 173* 20(52) -> 49* 20(33) -> 34* 20(7) -> 8* 20(23) -> 102* 20(118) -> 116* 20(83) -> 149* 20(87) -> 82* 20(14) -> 11* 20(86) -> 87* 20(164) -> 165* 20(3) -> 158* 20(74) -> 75* 20(138) -> 139* 20(61) -> 57* 20(63) -> 64* 20(8) -> 9* 20(4) -> 50* 20(25) -> 26* 20(107) -> 105* 20(24) -> 25* 20(30) -> 31* 20(50) -> 112* 20(48) -> 43* 20(110) -> 108* 20(133) -> 146* 20(65) -> 62* 20(156) -> 155* 20(56) -> 53* 20(28) -> 63* 20(18) -> 19* 20(2) -> 44* 30(5) -> 109* 30(122) -> 119* 30(158) -> 159* 30(29) -> 30* 30(3) -> 12* 30(130) -> 128* 30(38) -> 39* 30(79) -> 81* 30(97) -> 98* 30(143) -> 144* 30(181) -> 182* 30(141) -> 142* 30(191) -> 192* 30(89) -> 90* 30(185) -> 183* 30(83) -> 136* 30(77) -> 117* 30(173) -> 174* 30(34) -> 35* 30(4) -> 54* 30(37) -> 129* 30(44) -> 167* 30(58) -> 93* 30(113) -> 111* 30(152) -> 148* 30(124) -> 125* 30(102) -> 103* 30(120) -> 176* 30(132) -> 133* 30(78) -> 79* 30(2) -> 16* 30(41) -> 42* 30(72) -> 163* 01(283) -> 284* 01(552) -> 553* 01(424) -> 425* 01(323) -> 324* 01(568) -> 569* 01(303) -> 304* 01(483) -> 484* 01(298) -> 299* 01(302) -> 303* 01(515) -> 516* 01(457) -> 458* 01(464) -> 465* 01(407) -> 408* 01(530) -> 531* 01(430) -> 431* 01(262) -> 263* 01(402) -> 403* 01(386) -> 387* 01(356) -> 357* 01(269) -> 270* 01(479) -> 480* 01(603) -> 604* 01(287) -> 288* 01(319) -> 320* 01(625) -> 626* 01(334) -> 335* 01(494) -> 495* 01(647) -> 648* 01(465) -> 466* 01(498) -> 499* 01(499) -> 500* 01(408) -> 409* 01(263) -> 264* 01(583) -> 584* 01(426) -> 427* 01(372) -> 373* 01(519) -> 520* 01(268) -> 269* 01(207) -> 208* 01(383) -> 384* 10(103) -> 104* 10(168) -> 169* 10(192) -> 193* 10(147) -> 145* 10(2) -> 3* 10(182) -> 179* 10(90) -> 91* 10(42) -> 40* 10(39) -> 36* 10(136) -> 137* 10(94) -> 95* 10(99) -> 100* 10(151) -> 152* 10(9) -> 10* 10(64) -> 65* 10(142) -> 143* 10(133) -> 134* 10(159) -> 160* 10(134) -> 131* 10(167) -> 168* 10(26) -> 21* 10(91) -> 88* 10(98) -> 99* 10(45) -> 46* 10(129) -> 130* 10(7) -> 77* 10(3) -> 72* 10(95) -> 92* 10(127) -> 123* 10(19) -> 20* 10(180) -> 181* 10(35) -> 32* 10(115) -> 114* 10(31) -> 27* 10(189) -> 188* 41(516) -> 517* 41(299) -> 300* 41(451) -> 452* 41(301) -> 302* 41(611) -> 612* 41(533) -> 534* 41(577) -> 578* 41(320) -> 321* 41(633) -> 634* 41(497) -> 498* 41(551) -> 552* 41(531) -> 532* 41(373) -> 374* 41(337) -> 338* 41(355) -> 356* 41(335) -> 336* 41(495) -> 496* 41(371) -> 372* 41(381) -> 382* 41(384) -> 385* 41(591) -> 592* 41(567) -> 568* 41(569) -> 570* 00(22) -> 23* 00(16) -> 17* 00(138) -> 154* 00(44) -> 124* 00(4) -> 5* 00(2) -> 7* 00(93) -> 94* 00(10) -> 6* 00(67) -> 68* 00(133) -> 184* 00(117) -> 118* 00(13) -> 14* 00(115) -> 189* 00(20) -> 15* 00(72) -> 73* 00(146) -> 187* 00(50) -> 51* 00(161) -> 157* 00(12) -> 13* 00(54) -> 55* 00(184) -> 185* 00(163) -> 164* 00(104) -> 101* 00(121) -> 122* 00(139) -> 135* 00(47) -> 48* 00(3) -> 4* 00(28) -> 33* 00(46) -> 47* 00(55) -> 56* 00(194) -> 190* 00(120) -> 121* 00(149) -> 150* 00(79) -> 76* 00(60) -> 61* 00(125) -> 126* 00(112) -> 113* 00(84) -> 85* 00(174) -> 171* 00(8) -> 37* 00(51) -> 52* 00(178) -> 175* 00(58) -> 59* 00(7) -> 28* 00(85) -> 86* 00(160) -> 161* 00(144) -> 140* 00(14) -> 156* 00(81) -> 80* 00(170) -> 166* 00(165) -> 162* 00(73) -> 74* 00(23) -> 24* 00(106) -> 107* 00(98) -> 115* 51(406) -> 407* 11(482) -> 483* 11(205) -> 206* 11(369) -> 370* 11(502) -> 503* 11(306) -> 307* 11(233) -> 234* 11(249) -> 250* 11(209) -> 210* 11(261) -> 262* 11(432) -> 433* 11(581) -> 582* 11(225) -> 226* 11(260) -> 261* 11(241) -> 242* 11(400) -> 401* 11(405) -> 406* 11(619) -> 620* 11(387) -> 388* 11(565) -> 566* 11(441) -> 442* 11(286) -> 287* 11(646) -> 647* 11(210) -> 211* 11(601) -> 602* 11(267) -> 268* 11(204) -> 205* 11(463) -> 464* 50(100) -> 96* 50(187) -> 186* 50(8) -> 180* 50(28) -> 89* 50(3) -> 120* 50(2) -> 83* 50(83) -> 84* 50(177) -> 178* 50(22) -> 191* 50(7) -> 132* 50(193) -> 194* 50(137) -> 138* 50(77) -> 78* 50(146) -> 147* f60() -> 2* 307 -> 269,353,371,347,17,13,118 656 -> 268* 155 -> 7,28 166 -> 3* 321 -> 337* 442 -> 268* 544 -> 464* 70 -> 7,4 27 -> 7,4 354 -> 268* 266 -> 4* 43 -> 7,4 452 -> 302* 358 -> 354,268,355,269 92 -> 3* 465 -> 567,549,543 388 -> 117* 131 -> 16,12 285 -> 334* 320 -> 367,323 517 -> 533* 148 -> 16,12 464 -> 551,485 242 -> 210* 250 -> 210* 190 -> 16,12 160 -> 423,405,383 566 -> 577,466 240 -> 203* 115 -> 635,633,627,625,619 458 -> 320* 35 -> 233,231 162 -> 7,4 42 -> 249,247 444 -> 285* 290 -> 268* 234 -> 210* 370 -> 381,270 140 -> 16,12 450 -> 298* 636 -> 345* 348 -> 655,354,268 93 -> 260* 516 -> 563,519 481 -> 530* 602 -> 464* 114 -> 16,12,117 66 -> 7,4 300 -> 285* 188 -> 16,12 284 -> 319* 582 -> 464* 604 -> 480* 232 -> 203* 11 -> 7,4 53 -> 7,4 82 -> 7,85 270 -> 651* 433 -> 409* 336 -> 325* 174 -> 597,591,589,583,581 522 -> 502* 484 -> 73* 288 -> 269,353,371,347,17,13,118 386 -> 459,451,449,441 105 -> 16,54 384 -> 429,400 88 -> 3,77 153 -> 16,12 116 -> 16,12,117 404 -> 117* 554 -> 465* 6 -> 7,4 648 -> 354,268,355 171 -> 3* 346 -> 267* 532 -> 521* 178 -> 617,611,609,603,601 186 -> 16* 21 -> 7,4 248 -> 203* 268 -> 355,289 208 -> 130* 170 -> 540,497,493,479,463 36 -> 7,4 518 -> 501* 269 -> 371,353,347 76 -> 7,4 612 -> 498* 26 -> 209,202 179 -> 3* 634 -> 302* 135 -> 16,12 480 -> 515* 590 -> 494* 428 -> 387* 183 -> 16* 410 -> 117* 570 -> 466* 101 -> 16,54 71 -> 7,4,73 542 -> 463* 123 -> 16,12,117 40 -> 7,4 1 -> 7,4 49 -> 7,4 31 -> 225,223 62 -> 7,4 224 -> 203* 467 -> 73* 175 -> 3* 618 -> 541* 598 -> 541* 592 -> 498* 584 -> 480* 620 -> 268* 108 -> 16,54 626 -> 284* 460 -> 345* 382 -> 269,353,371,347,17,13,118 652 -> 270* 57 -> 7,4 39 -> 241,239 226 -> 210* 550 -> 464* 610 -> 494* 145 -> 16,12 119 -> 16,12,117 628 -> 298* 326 -> 306* 303 -> 644* 96 -> 3* 374 -> 270* 578 -> 73* 15 -> 7,4 387 -> 457,443 496 -> 481* 214 -> 207* 98 -> 344,301,297,283,267 80 -> 7,4 338 -> 325* 271 -> 269,353,371,347,17,13,118 128 -> 16,12,117 486 -> 464* 32 -> 7,4 534 -> 521* 322 -> 305* 111 -> 16,54 157 -> 7,4 503 -> 73* problem: Qed