47.99/12.62 YES 48.02/12.63 48.02/12.63 Problem: 48.02/12.63 0(0(1(x1))) -> 2(0(3(3(0(1(x1)))))) 48.02/12.63 0(1(0(x1))) -> 0(1(3(4(0(3(x1)))))) 48.02/12.63 0(1(0(x1))) -> 2(0(3(0(1(4(x1)))))) 48.02/12.63 0(1(1(x1))) -> 0(3(1(3(1(x1))))) 48.02/12.63 0(1(1(x1))) -> 1(3(0(1(4(x1))))) 48.02/12.63 0(1(1(x1))) -> 0(1(3(1(3(1(x1)))))) 48.02/12.63 0(1(1(x1))) -> 1(3(2(1(3(0(x1)))))) 48.02/12.63 0(1(1(x1))) -> 1(3(3(1(4(0(x1)))))) 48.02/12.63 0(1(1(x1))) -> 3(0(3(1(5(1(x1)))))) 48.02/12.63 0(1(1(x1))) -> 5(0(3(1(5(1(x1)))))) 48.02/12.63 0(5(0(x1))) -> 3(0(3(5(0(x1))))) 48.02/12.63 0(5(0(x1))) -> 3(5(0(0(3(x1))))) 48.02/12.63 0(5(0(x1))) -> 5(0(3(0(2(x1))))) 48.02/12.63 0(5(0(x1))) -> 5(0(3(3(0(x1))))) 48.02/12.63 0(5(0(x1))) -> 4(5(0(3(3(0(x1)))))) 48.02/12.63 0(5(0(x1))) -> 4(5(0(3(5(0(x1)))))) 48.02/12.63 0(5(0(x1))) -> 5(3(0(1(3(0(x1)))))) 48.02/12.63 2(0(0(x1))) -> 0(3(0(3(2(x1))))) 48.02/12.63 2(0(0(x1))) -> 0(3(3(0(2(3(x1)))))) 48.02/12.63 2(0(0(x1))) -> 0(3(5(2(0(3(x1)))))) 48.02/12.63 5(1(0(x1))) -> 3(5(0(1(4(3(x1)))))) 48.02/12.63 5(1(0(x1))) -> 3(5(1(4(0(3(x1)))))) 48.02/12.63 5(1(1(x1))) -> 3(1(5(1(x1)))) 48.02/12.63 5(1(1(x1))) -> 1(3(1(3(5(x1))))) 48.02/12.63 5(1(1(x1))) -> 1(3(3(3(5(1(x1)))))) 48.02/12.63 5(1(1(x1))) -> 1(3(5(5(1(4(x1)))))) 48.02/12.63 0(2(0(1(x1)))) -> 0(2(3(3(0(1(x1)))))) 48.02/12.63 0(5(1(0(x1)))) -> 0(0(1(3(5(x1))))) 48.02/12.63 0(5(4(0(x1)))) -> 0(4(5(0(3(x1))))) 48.02/12.63 2(0(2(0(x1)))) -> 3(0(3(0(2(2(x1)))))) 48.02/12.63 2(0(4(1(x1)))) -> 2(3(0(1(4(4(x1)))))) 48.02/12.63 2(0(5(0(x1)))) -> 0(0(3(5(2(x1))))) 48.02/12.63 2(2(4(1(x1)))) -> 3(2(4(3(2(1(x1)))))) 48.02/12.63 5(1(0(1(x1)))) -> 0(5(1(4(3(1(x1)))))) 48.02/12.63 5(1(1(0(x1)))) -> 0(5(1(5(1(x1))))) 48.02/12.63 5(1(2(0(x1)))) -> 3(1(3(5(0(2(x1)))))) 48.02/12.63 5(1(5(0(x1)))) -> 5(3(5(0(1(x1))))) 48.02/12.63 5(2(0(1(x1)))) -> 5(1(0(3(2(x1))))) 48.02/12.63 5(3(1(1(x1)))) -> 5(3(1(3(1(5(x1)))))) 48.02/12.63 5(4(1(1(x1)))) -> 5(1(4(1(4(5(x1)))))) 48.02/12.63 5(5(1(0(x1)))) -> 5(0(5(1(3(x1))))) 48.02/12.63 5(5(1(1(x1)))) -> 5(1(3(5(0(1(x1)))))) 48.02/12.63 0(2(4(1(0(x1))))) -> 2(4(0(0(1(3(x1)))))) 48.02/12.63 0(5(5(1(1(x1))))) -> 5(1(3(5(0(1(x1)))))) 48.02/12.63 2(2(2(4(1(x1))))) -> 1(2(2(1(4(2(x1)))))) 48.02/12.63 2(5(0(1(1(x1))))) -> 5(1(2(0(1(3(x1)))))) 48.02/12.63 5(0(2(4(1(x1))))) -> 5(1(4(0(3(2(x1)))))) 48.02/12.63 5(2(4(1(0(x1))))) -> 0(2(3(4(5(1(x1)))))) 48.02/12.63 5(3(0(4(1(x1))))) -> 5(3(0(1(4(1(x1)))))) 48.02/12.63 5(3(4(1(1(x1))))) -> 1(4(3(5(2(1(x1)))))) 48.02/12.63 48.02/12.63 Proof: 48.02/12.63 Bounds Processor: 48.02/12.63 bound: 2 48.02/12.63 enrichment: match 48.02/12.63 automaton: 48.02/12.63 final states: {180,175,171,168,165,160,156,154,150,145,140,138,135, 48.02/12.63 131,129,125,120,116,111,106,103,101,99,95,91,86,41, 48.02/12.63 83,78,74,69,65,62,60,59,56,51,48,44,43,38,33,27,25, 48.02/12.63 24,20,14,8,1} 48.02/12.63 transitions: 48.02/12.63 31(237) -> 238* 48.02/12.63 31(217) -> 218* 48.02/12.63 31(212) -> 213* 48.02/12.63 31(207) -> 208* 48.02/12.63 31(187) -> 188* 48.02/12.63 31(319) -> 320* 48.02/12.63 31(274) -> 275* 48.02/12.63 31(259) -> 260* 48.02/12.63 31(239) -> 240* 48.02/12.63 31(416) -> 417* 48.02/12.63 31(386) -> 387* 48.02/12.63 31(346) -> 347* 48.02/12.63 31(261) -> 262* 48.02/12.63 31(256) -> 257* 48.02/12.63 31(186) -> 187* 48.02/12.63 31(273) -> 274* 48.02/12.63 31(208) -> 209* 48.02/12.63 31(325) -> 326* 48.02/12.63 31(392) -> 393* 48.02/12.63 31(367) -> 368* 48.02/12.63 31(322) -> 323* 48.02/12.63 31(317) -> 318* 48.02/12.63 11(277) -> 278* 48.02/12.63 11(262) -> 263* 48.02/12.63 11(232) -> 233* 48.02/12.63 11(424) -> 425* 48.02/12.63 11(354) -> 355* 48.02/12.63 11(214) -> 215* 48.02/12.63 11(184) -> 185* 48.02/12.63 11(418) -> 419* 48.02/12.63 11(368) -> 369* 48.02/12.63 11(348) -> 349* 48.02/12.63 11(298) -> 299* 48.02/12.63 11(288) -> 289* 48.02/12.63 11(253) -> 254* 48.02/12.63 11(238) -> 239* 48.02/12.63 11(260) -> 261* 48.02/12.63 11(255) -> 256* 48.02/12.63 11(205) -> 206* 48.02/12.63 51(394) -> 395* 48.02/12.63 51(304) -> 305* 48.02/12.63 51(279) -> 280* 48.02/12.63 51(254) -> 255* 48.02/12.63 51(366) -> 367* 48.02/12.63 51(236) -> 237* 48.02/12.63 51(216) -> 217* 48.02/12.63 51(338) -> 339* 48.02/12.63 51(278) -> 279* 48.02/12.63 51(258) -> 259* 48.02/12.63 51(415) -> 416* 48.02/12.63 51(400) -> 401* 48.02/12.63 51(350) -> 351* 48.02/12.63 51(290) -> 291* 48.02/12.63 51(402) -> 403* 48.02/12.63 01(434) -> 435* 48.02/12.63 01(414) -> 415* 48.02/12.63 01(369) -> 370* 48.02/12.63 01(349) -> 350* 48.02/12.63 01(324) -> 325* 48.02/12.63 01(426) -> 427* 48.02/12.63 01(209) -> 210* 48.02/12.63 01(336) -> 337* 48.02/12.63 01(206) -> 207* 48.02/12.63 01(403) -> 404* 48.02/12.63 01(318) -> 319* 48.02/12.63 01(188) -> 189* 48.02/12.63 01(370) -> 371* 48.02/12.63 01(320) -> 321* 48.02/12.63 01(235) -> 236* 48.02/12.63 01(432) -> 433* 48.02/12.63 01(230) -> 231* 48.02/12.63 01(215) -> 216* 48.02/12.63 01(185) -> 186* 48.02/12.63 01(352) -> 353* 48.02/12.63 21(234) -> 235* 48.02/12.63 21(189) -> 190* 48.02/12.63 21(316) -> 317* 48.02/12.63 21(413) -> 414* 48.02/12.63 21(323) -> 324* 48.02/12.63 21(210) -> 211* 48.02/12.63 21(337) -> 338* 48.02/12.63 41(306) -> 307* 48.02/12.63 41(296) -> 297* 48.02/12.63 41(276) -> 277* 48.02/12.63 41(231) -> 232* 48.02/12.63 41(353) -> 354* 48.02/12.63 41(213) -> 214* 48.02/12.63 41(347) -> 348* 48.02/12.63 22(377) -> 378* 48.02/12.63 02(376) -> 377* 48.02/12.63 02(373) -> 374* 48.02/12.63 f60() -> 2* 48.02/12.63 32(374) -> 375* 48.02/12.63 32(375) -> 376* 48.02/12.64 20(30) -> 31* 48.02/12.64 20(10) -> 75* 48.02/12.64 20(162) -> 163* 48.02/12.64 20(157) -> 166* 48.02/12.64 20(52) -> 107* 48.02/12.64 20(7) -> 1* 48.02/12.64 20(2) -> 52* 48.02/12.64 20(159) -> 156* 48.02/12.64 20(19) -> 14* 48.02/12.64 20(9) -> 70* 48.02/12.64 20(6) -> 100* 48.02/12.64 20(173) -> 174* 48.02/12.64 20(163) -> 164* 48.02/12.64 20(123) -> 124* 48.02/12.64 20(3) -> 121* 48.02/12.64 20(115) -> 111* 48.02/12.64 12(372) -> 373* 48.02/12.64 00(70) -> 71* 48.02/12.64 00(30) -> 63* 48.02/12.64 00(10) -> 49* 48.02/12.64 00(177) -> 178* 48.02/12.64 00(157) -> 158* 48.02/12.64 00(152) -> 153* 48.02/12.64 00(107) -> 108* 48.02/12.64 00(102) -> 101* 48.02/12.64 00(77) -> 74* 48.02/12.64 00(57) -> 58* 48.02/12.64 00(52) -> 53* 48.02/12.64 00(2) -> 28* 48.02/12.64 00(174) -> 171* 48.02/12.64 00(119) -> 116* 48.02/12.64 00(109) -> 110* 48.02/12.64 00(89) -> 102* 48.02/12.64 00(54) -> 55* 48.02/12.64 00(9) -> 10* 48.02/12.64 00(151) -> 157* 48.02/12.64 00(66) -> 67* 48.02/12.64 00(46) -> 47* 48.02/12.64 00(41) -> 42* 48.02/12.64 00(26) -> 25* 48.02/12.64 00(16) -> 17* 48.02/12.64 00(6) -> 7* 48.02/12.64 00(128) -> 125* 48.02/12.64 00(118) -> 119* 48.02/12.64 00(113) -> 114* 48.02/12.64 00(73) -> 69* 48.02/12.64 00(68) -> 65* 48.02/12.64 00(23) -> 20* 48.02/12.64 00(18) -> 19* 48.02/12.64 00(13) -> 8* 48.02/12.64 00(3) -> 4* 48.02/12.64 00(130) -> 129* 48.02/12.64 00(105) -> 103* 48.02/12.64 00(100) -> 99* 48.02/12.64 00(80) -> 81* 48.02/12.64 30(50) -> 48* 48.02/12.64 30(45) -> 46* 48.02/12.64 30(40) -> 41* 48.02/12.64 30(35) -> 36* 48.02/12.64 30(5) -> 6* 48.02/12.64 30(172) -> 173* 48.02/12.64 30(132) -> 133* 48.02/12.64 30(117) -> 118* 48.02/12.64 30(97) -> 98* 48.02/12.64 30(92) -> 93* 48.02/12.64 30(87) -> 88* 48.02/12.64 30(82) -> 78* 48.02/12.64 30(72) -> 73* 48.02/12.64 30(67) -> 68* 48.02/12.64 30(52) -> 66* 48.02/12.64 30(47) -> 44* 48.02/12.64 30(42) -> 38* 48.02/12.64 30(22) -> 23* 48.02/12.64 30(17) -> 18* 48.02/12.64 30(2) -> 9* 48.02/12.64 30(134) -> 131* 48.02/12.64 30(124) -> 120* 48.02/12.64 30(114) -> 115* 48.02/12.64 30(89) -> 90* 48.02/12.64 30(39) -> 92* 48.02/12.64 30(29) -> 57* 48.02/12.64 30(4) -> 5* 48.02/12.64 30(181) -> 182* 48.02/12.64 30(141) -> 142* 48.02/12.64 30(136) -> 137* 48.02/12.64 30(121) -> 122* 48.02/12.64 30(76) -> 77* 48.02/12.64 30(71) -> 72* 48.02/12.64 30(36) -> 37* 48.02/12.64 30(31) -> 32* 48.02/12.64 30(11) -> 12* 48.02/12.64 30(178) -> 179* 48.02/12.64 30(143) -> 144* 48.02/12.64 30(108) -> 109* 48.02/12.64 30(93) -> 94* 48.02/12.64 30(63) -> 64* 48.02/12.64 30(53) -> 54* 48.02/12.64 30(28) -> 29* 48.02/12.64 30(3) -> 21* 48.02/12.64 30(110) -> 106* 48.02/12.64 30(85) -> 83* 48.02/12.64 10(15) -> 16* 48.02/12.64 10(142) -> 143* 48.02/12.64 10(137) -> 155* 48.02/12.64 10(112) -> 113* 48.02/12.64 10(87) -> 141* 48.02/12.64 10(67) -> 139* 48.02/12.64 10(37) -> 33* 48.02/12.64 10(32) -> 27* 48.02/12.64 10(12) -> 13* 48.02/12.64 10(2) -> 3* 48.02/12.64 10(169) -> 170* 48.02/12.64 10(164) -> 160* 48.02/12.64 10(94) -> 91* 48.02/12.64 10(79) -> 80* 48.02/12.64 10(39) -> 40* 48.02/12.64 10(34) -> 35* 48.02/12.64 10(29) -> 30* 48.02/12.64 10(9) -> 151* 48.02/12.64 10(176) -> 177* 48.02/12.64 10(166) -> 167* 48.02/12.64 10(161) -> 162* 48.02/12.64 10(146) -> 147* 48.02/12.64 10(126) -> 127* 48.02/12.64 10(21) -> 22* 48.02/12.64 10(11) -> 84* 48.02/12.64 10(183) -> 180* 48.02/12.64 10(148) -> 149* 48.02/12.64 10(133) -> 134* 48.02/12.64 10(98) -> 95* 48.02/12.64 10(88) -> 89* 48.02/12.64 10(23) -> 26* 48.02/12.64 10(18) -> 24* 48.02/12.64 10(90) -> 86* 48.02/12.64 40(15) -> 112* 48.02/12.64 40(10) -> 11* 48.02/12.64 40(182) -> 183* 48.02/12.64 40(147) -> 148* 48.02/12.64 40(122) -> 123* 48.02/12.64 40(87) -> 146* 48.02/12.64 40(67) -> 169* 48.02/12.64 40(52) -> 161* 48.02/12.64 40(2) -> 15* 48.02/12.64 40(104) -> 105* 48.02/12.64 40(39) -> 172* 48.02/12.64 40(9) -> 79* 48.02/12.64 40(61) -> 60* 48.02/12.64 40(56) -> 59* 48.02/12.64 40(21) -> 126* 48.02/12.64 40(158) -> 159* 48.02/12.64 40(28) -> 34* 48.02/12.64 40(3) -> 176* 48.02/12.64 50(75) -> 76* 48.02/12.64 50(55) -> 51* 48.02/12.64 50(40) -> 130* 48.02/12.64 50(10) -> 104* 48.02/12.64 50(167) -> 165* 48.02/12.64 50(137) -> 135* 48.02/12.64 50(127) -> 128* 48.02/12.64 50(52) -> 117* 48.02/12.64 50(47) -> 61* 48.02/12.64 50(42) -> 43* 48.02/12.64 50(2) -> 87* 48.02/12.64 50(179) -> 175* 48.02/12.64 50(149) -> 145* 48.02/12.64 50(144) -> 140* 48.02/12.64 50(139) -> 138* 48.02/12.64 50(84) -> 85* 48.02/12.64 50(64) -> 62* 48.02/12.64 50(49) -> 50* 48.02/12.64 50(4) -> 136* 48.02/12.64 50(151) -> 152* 48.02/12.64 50(121) -> 181* 48.02/12.64 50(96) -> 97* 48.02/12.64 50(81) -> 82* 48.02/12.64 50(16) -> 96* 48.02/12.64 50(153) -> 150* 48.02/12.64 50(58) -> 56* 48.02/12.64 50(53) -> 132* 48.02/12.64 50(28) -> 45* 48.02/12.64 50(3) -> 39* 48.02/12.64 50(170) -> 168* 48.02/12.64 50(155) -> 154* 48.02/12.64 1 -> 28* 48.02/12.64 8 -> 28,4 48.02/12.64 9 -> 205* 48.02/12.64 14 -> 28,4 48.02/12.64 20 -> 28,4 48.02/12.64 24 -> 28,4 48.02/12.64 25 -> 28,4 48.02/12.64 27 -> 28,4 48.02/12.64 33 -> 28,4 48.02/12.64 34 -> 28* 48.02/12.64 38 -> 28,4 48.02/12.64 41 -> 87,39 48.02/12.64 43 -> 28,4 48.02/12.64 44 -> 28* 48.02/12.64 48 -> 28* 48.02/12.64 51 -> 28* 48.02/12.64 56 -> 28* 48.02/12.64 60 -> 28* 48.02/12.64 62 -> 28* 48.02/12.64 65 -> 52* 48.02/12.64 66 -> 212* 48.02/12.64 69 -> 52* 48.02/12.64 74 -> 52* 48.02/12.64 78 -> 87,39 48.02/12.64 83 -> 87,39 48.02/12.64 86 -> 87,39 48.02/12.64 88 -> 184* 48.02/12.64 90 -> 276,258,253 48.02/12.64 91 -> 87,39 48.02/12.64 94 -> 296,290,288 48.02/12.64 95 -> 87,39 48.02/12.64 98 -> 306,304,298 48.02/12.64 99 -> 28,53 48.02/12.64 101 -> 28* 48.02/12.64 103 -> 28* 48.02/12.64 106 -> 52* 48.02/12.64 111 -> 52* 48.02/12.64 116 -> 52* 48.02/12.64 118 -> 322,316 48.02/12.64 120 -> 52,107 48.02/12.64 125 -> 87,39 48.02/12.64 128 -> 366,346 48.02/12.64 129 -> 87,39 48.02/12.64 130 -> 400,392 48.02/12.64 131 -> 87,39 48.02/12.64 135 -> 87,39 48.02/12.64 138 -> 87,117 48.02/12.64 140 -> 87* 48.02/12.64 145 -> 87* 48.02/12.64 150 -> 87* 48.02/12.64 151 -> 234* 48.02/12.64 154 -> 28,87 48.02/12.64 156 -> 28,53 48.02/12.64 160 -> 52,107 48.02/12.64 165 -> 52* 48.02/12.64 168 -> 87,45,132 48.02/12.64 171 -> 87,117 48.02/12.64 175 -> 87* 48.02/12.64 180 -> 87* 48.02/12.64 190 -> 101* 48.02/12.64 211 -> 158* 48.02/12.64 213 -> 230* 48.02/12.64 218 -> 138* 48.02/12.64 233 -> 216* 48.02/12.64 240 -> 165* 48.02/12.64 254 -> 434* 48.02/12.64 255 -> 273* 48.02/12.64 257 -> 130* 48.02/12.64 263 -> 130* 48.02/12.64 275 -> 261* 48.02/12.64 280 -> 261* 48.02/12.64 289 -> 426,254 48.02/12.64 291 -> 259* 48.02/12.64 297 -> 277* 48.02/12.64 299 -> 432,254 48.02/12.64 305 -> 259* 48.02/12.64 307 -> 277* 48.02/12.64 321 -> 107* 48.02/12.64 323 -> 336* 48.02/12.64 326 -> 319* 48.02/12.64 339 -> 319* 48.02/12.64 347 -> 424,352 48.02/12.64 349 -> 402* 48.02/12.64 351 -> 256* 48.02/12.64 355 -> 350* 48.02/12.64 368 -> 372* 48.02/12.64 370 -> 394,386 48.02/12.64 371 -> 129* 48.02/12.64 376 -> 413* 48.02/12.64 378 -> 371,129 48.02/12.64 387 -> 418,347 48.02/12.64 393 -> 347* 48.02/12.64 395 -> 367* 48.02/12.64 401 -> 367* 48.02/12.64 404 -> 130* 48.02/12.64 417 -> 255* 48.02/12.64 419 -> 402* 48.02/12.64 425 -> 402* 48.02/12.64 427 -> 279* 48.02/12.64 433 -> 279* 48.02/12.64 435 -> 279* 48.02/12.64 problem: 48.02/12.64 48.02/12.64 Qed 48.02/12.65 EOF