57.76/15.07 YES 57.76/15.08 57.76/15.08 Problem: 57.76/15.08 0(0(0(x1))) -> 0(0(1(0(1(x1))))) 57.76/15.08 0(2(0(x1))) -> 0(0(2(1(1(x1))))) 57.76/15.08 0(3(2(x1))) -> 2(1(3(0(x1)))) 57.76/15.08 0(4(2(x1))) -> 4(1(1(1(0(2(x1)))))) 57.76/15.08 3(0(4(x1))) -> 0(1(3(4(1(x1))))) 57.76/15.08 3(2(0(x1))) -> 0(2(1(3(x1)))) 57.76/15.08 3(2(0(x1))) -> 3(0(2(1(x1)))) 57.76/15.08 3(2(0(x1))) -> 0(1(2(1(3(x1))))) 57.76/15.08 3(2(0(x1))) -> 3(0(1(2(1(4(x1)))))) 57.76/15.08 3(2(4(x1))) -> 1(2(1(3(3(4(x1)))))) 57.76/15.08 3(2(4(x1))) -> 4(1(2(1(1(3(x1)))))) 57.76/15.08 3(2(5(x1))) -> 1(3(5(2(x1)))) 57.76/15.08 3(2(5(x1))) -> 3(1(4(5(2(x1))))) 57.76/15.08 3(2(5(x1))) -> 1(1(3(3(5(2(x1)))))) 57.76/15.08 3(2(5(x1))) -> 1(3(4(5(4(2(x1)))))) 57.76/15.08 3(5(0(x1))) -> 3(1(0(5(1(1(x1)))))) 57.76/15.08 5(0(2(x1))) -> 1(1(0(2(5(x1))))) 57.76/15.08 5(0(4(x1))) -> 0(5(4(1(1(x1))))) 57.76/15.08 5(2(4(x1))) -> 5(2(1(1(3(4(x1)))))) 57.76/15.08 5(3(2(x1))) -> 1(1(3(5(1(2(x1)))))) 57.76/15.08 5(5(0(x1))) -> 5(1(1(5(0(x1))))) 57.76/15.08 0(0(2(4(x1)))) -> 0(4(0(2(1(1(x1)))))) 57.76/15.08 0(3(1(2(x1)))) -> 1(1(3(0(2(x1))))) 57.76/15.08 0(3(2(4(x1)))) -> 2(1(3(0(4(4(x1)))))) 57.76/15.08 0(4(3(2(x1)))) -> 2(3(4(0(1(x1))))) 57.76/15.08 3(0(2(4(x1)))) -> 3(0(4(2(1(1(x1)))))) 57.76/15.08 3(0(5(4(x1)))) -> 3(4(0(5(1(3(x1)))))) 57.76/15.08 3(1(0(0(x1)))) -> 0(1(1(3(0(1(x1)))))) 57.76/15.08 3(2(4(0(x1)))) -> 3(1(0(4(2(x1))))) 57.76/15.08 3(2(4(5(x1)))) -> 3(1(4(2(1(5(x1)))))) 57.76/15.08 3(2(5(4(x1)))) -> 3(4(3(5(2(x1))))) 57.76/15.08 3(5(3(2(x1)))) -> 3(3(0(2(5(x1))))) 57.76/15.08 4(0(4(2(x1)))) -> 4(4(2(1(3(0(x1)))))) 57.76/15.08 4(3(2(0(x1)))) -> 0(2(1(3(4(x1))))) 57.76/15.08 5(4(1(0(x1)))) -> 5(1(1(4(0(1(x1)))))) 57.76/15.08 5(5(0(0(x1)))) -> 1(1(0(5(5(0(x1)))))) 57.76/15.08 5(5(2(2(x1)))) -> 5(5(1(1(2(2(x1)))))) 57.76/15.08 0(0(1(2(4(x1))))) -> 0(0(2(1(1(4(x1)))))) 57.76/15.08 0(5(3(1(2(x1))))) -> 5(2(1(3(1(0(x1)))))) 57.76/15.08 0(5(5(1(0(x1))))) -> 5(0(0(5(1(1(x1)))))) 57.76/15.08 3(0(1(4(5(x1))))) -> 3(4(0(5(1(1(x1)))))) 57.76/15.08 3(0(3(1(2(x1))))) -> 0(2(1(1(3(3(x1)))))) 57.76/15.08 3(2(2(0(4(x1))))) -> 3(2(2(0(1(4(x1)))))) 57.76/15.08 3(5(1(4(0(x1))))) -> 1(3(3(4(5(0(x1)))))) 57.76/15.08 3(5(3(0(4(x1))))) -> 3(0(1(5(3(4(x1)))))) 57.76/15.08 5(1(0(2(4(x1))))) -> 2(1(5(4(0(3(x1)))))) 57.76/15.08 5(1(3(2(0(x1))))) -> 2(3(5(0(1(1(x1)))))) 57.76/15.08 5(4(2(0(2(x1))))) -> 5(0(4(2(1(2(x1)))))) 57.76/15.08 57.76/15.08 Proof: 57.76/15.08 Bounds Processor: 57.76/15.08 bound: 2 57.76/15.08 enrichment: match 57.76/15.08 automaton: 57.76/15.08 final states: {179,175,170,166,162,158,153,151,149,144,140,135,131, 57.76/15.08 128,126,124,122,120,115,112,108,104,101,98,93,90,88, 57.76/15.08 84,79,75,72,67,63,58,55,52,49,45,40,34,32,29,25,21, 57.76/15.08 15,11,7,1} 57.76/15.08 transitions: 57.76/15.08 51(282) -> 283* 57.76/15.08 51(444) -> 445* 57.76/15.08 51(419) -> 420* 57.76/15.08 51(349) -> 350* 57.76/15.08 51(314) -> 315* 57.76/15.08 51(441) -> 442* 57.76/15.08 51(411) -> 412* 57.76/15.08 51(266) -> 267* 57.76/15.08 51(438) -> 439* 57.76/15.08 51(313) -> 314* 57.76/15.08 51(258) -> 259* 57.76/15.08 51(445) -> 446* 57.76/15.08 51(390) -> 391* 57.76/15.08 51(285) -> 286* 57.76/15.08 11(479) -> 480* 57.76/15.08 11(257) -> 258* 57.76/15.08 11(439) -> 440* 57.76/15.08 11(237) -> 238* 57.76/15.08 11(207) -> 208* 57.76/15.08 11(187) -> 188* 57.76/15.08 11(374) -> 375* 57.76/15.08 11(359) -> 360* 57.76/15.08 11(294) -> 295* 57.76/15.08 11(284) -> 285* 57.76/15.08 11(476) -> 477* 57.76/15.08 11(264) -> 265* 57.76/15.08 11(234) -> 235* 57.76/15.08 11(421) -> 422* 57.76/15.08 11(214) -> 215* 57.76/15.08 11(371) -> 372* 57.76/15.08 11(316) -> 317* 57.76/15.08 11(291) -> 292* 57.76/15.08 11(256) -> 257* 57.76/15.08 11(448) -> 449* 57.76/15.08 11(231) -> 232* 57.76/15.08 11(418) -> 419* 57.76/15.08 11(206) -> 207* 57.76/15.08 11(403) -> 404* 57.76/15.08 11(388) -> 389* 57.76/15.08 11(186) -> 187* 57.76/15.08 11(353) -> 354* 57.76/15.08 11(283) -> 284* 57.76/15.08 11(480) -> 481* 57.76/15.08 11(263) -> 264* 57.76/15.08 11(440) -> 441* 57.76/15.08 11(213) -> 214* 57.76/15.08 11(208) -> 209* 57.76/15.08 11(360) -> 361* 57.76/15.08 11(295) -> 296* 57.76/15.08 11(260) -> 261* 57.76/15.08 11(447) -> 448* 57.76/15.08 11(240) -> 241* 57.76/15.08 11(417) -> 418* 57.76/15.08 11(215) -> 216* 57.76/15.08 11(185) -> 186* 57.76/15.08 11(352) -> 353* 57.76/15.08 11(317) -> 318* 57.76/15.08 11(489) -> 490* 57.76/15.08 01(474) -> 475* 57.76/15.08 01(267) -> 268* 57.76/15.08 01(212) -> 213* 57.76/15.08 01(339) -> 340* 57.76/15.08 01(289) -> 290* 57.76/15.08 01(259) -> 260* 57.76/15.08 01(446) -> 447* 57.76/15.08 01(391) -> 392* 57.76/15.08 01(184) -> 185* 57.76/15.08 01(351) -> 352* 57.76/15.08 01(331) -> 332* 57.76/15.08 01(296) -> 297* 57.76/15.08 01(281) -> 282* 57.76/15.08 01(443) -> 444* 57.76/15.08 01(241) -> 242* 57.76/15.08 01(393) -> 394* 57.76/15.08 01(363) -> 364* 57.76/15.08 01(420) -> 421* 57.76/15.08 01(405) -> 406* 57.76/15.08 01(375) -> 376* 57.76/15.08 01(315) -> 316* 57.76/15.08 01(482) -> 483* 57.76/15.08 01(437) -> 438* 57.76/15.08 01(235) -> 236* 57.76/15.08 01(205) -> 206* 57.76/15.08 01(397) -> 398* 57.76/15.08 01(362) -> 363* 57.76/15.08 01(337) -> 338* 57.76/15.08 01(312) -> 313* 57.76/15.08 01(292) -> 293* 57.76/15.08 41(232) -> 233* 57.76/15.08 41(389) -> 390* 57.76/15.08 41(209) -> 210* 57.76/15.08 41(216) -> 217* 57.76/15.08 41(238) -> 239* 57.76/15.08 41(188) -> 189* 57.76/15.08 41(265) -> 266* 57.76/15.08 41(372) -> 373* 57.76/15.08 31(239) -> 240* 57.76/15.08 31(261) -> 262* 57.76/15.08 31(373) -> 374* 57.76/15.08 31(293) -> 294* 57.76/15.08 31(475) -> 476* 57.76/15.08 31(233) -> 234* 57.76/15.08 31(422) -> 423* 57.76/15.08 21(481) -> 482* 57.76/15.08 21(204) -> 205* 57.76/15.08 21(361) -> 362* 57.76/15.08 21(211) -> 212* 57.76/15.08 21(183) -> 184* 57.76/15.08 21(350) -> 351* 57.76/15.08 21(477) -> 478* 57.76/15.08 52(464) -> 465* 57.76/15.08 52(323) -> 324* 57.76/15.08 52(320) -> 321* 57.76/15.08 52(467) -> 468* 57.76/15.08 12(466) -> 467* 57.76/15.08 12(321) -> 322* 57.76/15.08 12(465) -> 466* 57.76/15.08 12(322) -> 323* 57.76/15.08 f60() -> 2* 57.76/15.08 02(319) -> 320* 57.76/15.08 02(463) -> 464* 57.76/15.08 02(413) -> 414* 57.76/15.08 02(355) -> 356* 57.76/15.08 00(65) -> 150* 57.76/15.08 00(30) -> 31* 57.76/15.08 00(10) -> 7* 57.76/15.08 00(5) -> 6* 57.76/15.08 00(157) -> 153* 57.76/15.08 00(142) -> 143* 57.76/15.08 00(132) -> 133* 57.76/15.08 00(127) -> 126* 57.76/15.08 00(102) -> 103* 57.76/15.08 00(2) -> 12* 57.76/15.08 00(94) -> 95* 57.76/15.08 00(89) -> 88* 57.76/15.08 00(74) -> 72* 57.76/15.08 00(69) -> 70* 57.76/15.08 00(64) -> 65* 57.76/15.08 00(59) -> 113* 57.76/15.08 00(24) -> 21* 57.76/15.08 00(9) -> 10* 57.76/15.08 00(181) -> 182* 57.76/15.08 00(111) -> 108* 57.76/15.08 00(36) -> 159* 57.76/15.08 00(26) -> 171* 57.76/15.08 00(16) -> 17* 57.76/15.08 00(6) -> 1* 57.76/15.08 00(168) -> 169* 57.76/15.08 00(143) -> 140* 57.76/15.08 00(38) -> 39* 57.76/15.08 00(33) -> 32* 57.76/15.08 00(28) -> 25* 57.76/15.08 00(8) -> 176* 57.76/15.08 00(3) -> 4* 57.76/15.08 00(105) -> 106* 57.76/15.08 10(70) -> 71* 57.76/15.08 10(65) -> 66* 57.76/15.08 10(35) -> 36* 57.76/15.08 10(167) -> 168* 57.76/15.08 10(137) -> 138* 57.76/15.08 10(92) -> 90* 57.76/15.08 10(82) -> 83* 57.76/15.08 10(62) -> 58* 57.76/15.08 10(57) -> 55* 57.76/15.08 10(47) -> 48* 57.76/15.08 10(42) -> 43* 57.76/15.08 10(37) -> 38* 57.76/15.08 10(27) -> 46* 57.76/15.08 10(17) -> 18* 57.76/15.08 10(12) -> 145* 57.76/15.08 10(2) -> 3* 57.76/15.08 10(154) -> 155* 57.76/15.08 10(134) -> 131* 57.76/15.08 10(129) -> 130* 57.76/15.08 10(109) -> 110* 57.76/15.08 10(99) -> 129* 57.76/15.08 10(44) -> 40* 57.76/15.08 10(19) -> 20* 57.76/15.08 10(4) -> 5* 57.76/15.08 10(146) -> 147* 57.76/15.08 10(136) -> 137* 57.76/15.08 10(96) -> 97* 57.76/15.08 10(91) -> 92* 57.76/15.08 10(86) -> 87* 57.76/15.08 10(76) -> 77* 57.76/15.08 10(71) -> 67* 57.76/15.08 10(56) -> 57* 57.76/15.08 10(51) -> 49* 57.76/15.08 10(41) -> 76* 57.76/15.08 10(36) -> 141* 57.76/15.08 10(26) -> 27* 57.76/15.08 10(16) -> 80* 57.76/15.08 10(173) -> 174* 57.76/15.08 10(133) -> 134* 57.76/15.08 10(118) -> 119* 57.76/15.08 10(113) -> 114* 57.76/15.08 10(83) -> 79* 57.76/15.08 10(68) -> 116* 57.76/15.08 10(53) -> 54* 57.76/15.08 10(28) -> 33* 57.76/15.08 10(23) -> 24* 57.76/15.08 10(18) -> 19* 57.76/15.08 10(13) -> 14* 57.76/15.08 10(3) -> 8* 57.76/15.08 10(165) -> 162* 57.76/15.08 10(155) -> 156* 57.76/15.08 10(110) -> 111* 57.76/15.08 10(85) -> 86* 57.76/15.08 20(147) -> 148* 57.76/15.08 20(97) -> 93* 57.76/15.08 20(77) -> 78* 57.76/15.08 20(27) -> 28* 57.76/15.08 20(2) -> 16* 57.76/15.08 20(174) -> 170* 57.76/15.08 20(159) -> 160* 57.76/15.08 20(14) -> 11* 57.76/15.08 20(156) -> 157* 57.76/15.08 20(141) -> 142* 57.76/15.08 20(116) -> 117* 57.76/15.08 20(76) -> 127* 57.76/15.08 20(46) -> 47* 57.76/15.08 20(36) -> 37* 57.76/15.08 20(16) -> 136* 57.76/15.08 20(178) -> 175* 57.76/15.08 20(68) -> 69* 57.76/15.08 20(43) -> 44* 57.76/15.08 20(8) -> 9* 57.76/15.08 20(3) -> 30* 57.76/15.08 20(160) -> 161* 57.76/15.08 20(100) -> 98* 57.76/15.08 20(80) -> 180* 57.76/15.08 30(70) -> 123* 57.76/15.08 30(50) -> 51* 57.76/15.08 30(35) -> 41* 57.76/15.08 30(177) -> 178* 57.76/15.08 30(152) -> 151* 57.76/15.08 30(107) -> 104* 57.76/15.08 30(22) -> 23* 57.76/15.08 30(17) -> 91* 57.76/15.08 30(12) -> 13* 57.76/15.08 30(2) -> 26* 57.76/15.08 30(169) -> 166* 57.76/15.08 30(164) -> 165* 57.76/15.08 30(119) -> 115* 57.76/15.08 30(114) -> 112* 57.76/15.08 30(99) -> 100* 57.76/15.08 30(54) -> 52* 57.76/15.08 30(39) -> 34* 57.76/15.08 30(4) -> 109* 57.76/15.08 30(161) -> 158* 57.76/15.08 30(121) -> 120* 57.76/15.08 30(81) -> 82* 57.76/15.08 30(66) -> 63* 57.76/15.08 30(61) -> 62* 57.76/15.08 30(51) -> 56* 57.76/15.08 30(41) -> 42* 57.76/15.08 30(31) -> 29* 57.76/15.08 30(26) -> 154* 57.76/15.08 30(163) -> 164* 57.76/15.08 30(123) -> 122* 57.76/15.08 30(103) -> 101* 57.76/15.09 30(145) -> 146* 57.76/15.09 30(95) -> 96* 57.76/15.09 40(65) -> 152* 57.76/15.09 40(60) -> 61* 57.76/15.09 40(50) -> 53* 57.76/15.09 40(35) -> 94* 57.76/15.09 40(20) -> 15* 57.76/15.09 40(10) -> 89* 57.76/15.09 40(117) -> 118* 57.76/15.09 40(2) -> 35* 57.76/15.09 40(9) -> 102* 57.76/15.09 40(4) -> 99* 57.76/15.09 40(171) -> 172* 57.76/15.09 40(106) -> 107* 57.76/15.09 40(51) -> 121* 57.76/15.09 40(16) -> 59* 57.76/15.09 40(11) -> 125* 57.76/15.09 40(48) -> 45* 57.76/15.09 40(8) -> 73* 57.76/15.09 40(3) -> 22* 57.76/15.09 40(180) -> 181* 57.76/15.09 40(125) -> 124* 57.76/15.09 40(85) -> 163* 57.76/15.09 50(80) -> 81* 57.76/15.09 50(182) -> 179* 57.76/15.09 50(172) -> 173* 57.76/15.09 50(87) -> 84* 57.76/15.09 50(27) -> 105* 57.76/15.09 50(12) -> 85* 57.76/15.09 50(2) -> 68* 57.76/15.09 50(139) -> 135* 57.76/15.09 50(59) -> 60* 57.76/15.09 50(176) -> 177* 57.76/15.09 50(41) -> 167* 57.76/15.09 50(16) -> 50* 57.76/15.09 50(148) -> 144* 57.76/15.09 50(138) -> 139* 57.76/15.09 50(78) -> 75* 57.76/15.09 50(73) -> 74* 57.76/15.09 50(8) -> 64* 57.76/15.09 50(150) -> 149* 57.76/15.09 50(130) -> 128* 57.76/15.09 50(85) -> 132* 57.76/15.09 1 -> 12* 57.76/15.09 2 -> 281,183 57.76/15.09 5 -> 312,291 57.76/15.09 6 -> 289* 57.76/15.09 7 -> 12,185,17 57.76/15.09 8 -> 349,256,211 57.76/15.09 9 -> 339,237 57.76/15.09 10 -> 371,331 57.76/15.09 11 -> 282,12,171 57.76/15.09 15 -> 282,12 57.76/15.09 21 -> 26,13 57.76/15.09 25 -> 26* 57.76/15.09 29 -> 26* 57.76/15.09 32 -> 26* 57.76/15.09 34 -> 26* 57.76/15.09 35 -> 231* 57.76/15.09 36 -> 479* 57.76/15.09 40 -> 26* 57.76/15.09 45 -> 26* 57.76/15.09 49 -> 26* 57.76/15.09 52 -> 26* 57.76/15.09 55 -> 26* 57.76/15.09 58 -> 26* 57.76/15.09 63 -> 26* 57.76/15.09 64 -> 443* 57.76/15.09 65 -> 437,417 57.76/15.09 67 -> 68,283,85 57.76/15.09 72 -> 68,283,85 57.76/15.09 74 -> 359* 57.76/15.09 75 -> 68,50 57.76/15.09 79 -> 68* 57.76/15.09 80 -> 204* 57.76/15.09 84 -> 68* 57.76/15.09 88 -> 12* 57.76/15.09 89 -> 393* 57.76/15.09 90 -> 282,12,171 57.76/15.09 93 -> 282,12,171 57.76/15.09 98 -> 282,12 57.76/15.09 101 -> 26,13,91 57.76/15.09 104 -> 26,13 57.76/15.09 108 -> 26,146 57.76/15.09 112 -> 26* 57.76/15.09 115 -> 26* 57.76/15.09 120 -> 26* 57.76/15.09 122 -> 26* 57.76/15.09 124 -> 35* 57.76/15.09 126 -> 35* 57.76/15.09 128 -> 68* 57.76/15.09 131 -> 68,132 57.76/15.09 135 -> 68* 57.76/15.09 140 -> 12* 57.76/15.09 141 -> 411* 57.76/15.09 142 -> 405,403 57.76/15.09 143 -> 397* 57.76/15.09 144 -> 282,12 57.76/15.09 149 -> 282,12 57.76/15.09 151 -> 26,13,109 57.76/15.09 153 -> 26,13 57.76/15.09 158 -> 26* 57.76/15.09 160 -> 474* 57.76/15.09 162 -> 26* 57.76/15.09 166 -> 26* 57.76/15.09 170 -> 68* 57.76/15.09 175 -> 68,105 57.76/15.09 179 -> 68,60 57.76/15.09 180 -> 263* 57.76/15.09 189 -> 113* 57.76/15.09 210 -> 182* 57.76/15.09 217 -> 103* 57.76/15.09 236 -> 96* 57.76/15.09 238 -> 337* 57.76/15.09 242 -> 101* 57.76/15.09 262 -> 178* 57.76/15.09 267 -> 489* 57.76/15.09 268 -> 179* 57.76/15.09 286 -> 132* 57.76/15.09 290 -> 282* 57.76/15.09 297 -> 146* 57.76/15.09 312 -> 319* 57.76/15.09 318 -> 132* 57.76/15.09 324 -> 315* 57.76/15.09 332 -> 282* 57.76/15.09 338 -> 293* 57.76/15.09 339 -> 355* 57.76/15.09 340 -> 313* 57.76/15.09 354 -> 321,314 57.76/15.09 356 -> 320* 57.76/15.09 364 -> 70* 57.76/15.09 372 -> 388* 57.76/15.09 376 -> 13* 57.76/15.09 392 -> 283,85 57.76/15.09 394 -> 282* 57.76/15.09 398 -> 282* 57.76/15.09 404 -> 292* 57.76/15.09 405 -> 413* 57.76/15.09 406 -> 313* 57.76/15.09 412 -> 350* 57.76/15.09 414 -> 320* 57.76/15.09 423 -> 13* 57.76/15.09 442 -> 283,85 57.76/15.09 443 -> 463* 57.76/15.09 449 -> 283,85 57.76/15.09 468 -> 446* 57.76/15.09 478 -> 171* 57.76/15.09 483 -> 474* 57.76/15.09 490 -> 360* 57.76/15.09 problem: 57.76/15.09 57.76/15.09 Qed 57.76/15.09 EOF