55.19/14.43 YES 55.19/14.44 55.19/14.44 Problem: 55.19/14.44 5(4(2(x1))) -> 5(5(4(4(3(4(0(1(0(1(x1)))))))))) 55.19/14.44 5(4(5(x1))) -> 0(0(4(1(5(0(5(1(1(4(x1)))))))))) 55.19/14.44 5(4(5(x1))) -> 0(0(5(1(0(0(2(1(0(3(x1)))))))))) 55.19/14.44 5(4(5(x1))) -> 0(3(3(0(1(3(0(5(0(1(x1)))))))))) 55.19/14.44 1(4(2(1(x1)))) -> 1(0(1(3(2(0(1(4(1(1(x1)))))))))) 55.19/14.44 4(0(5(4(x1)))) -> 4(0(4(4(1(3(3(3(5(4(x1)))))))))) 55.19/14.44 4(5(3(5(x1)))) -> 3(4(1(4(4(0(2(1(3(2(x1)))))))))) 55.19/14.44 1(0(4(5(2(x1))))) -> 1(4(1(0(3(3(1(4(0(1(x1)))))))))) 55.19/14.44 2(5(4(2(4(x1))))) -> 2(3(2(0(5(0(4(2(0(4(x1)))))))))) 55.19/14.44 4(0(5(4(5(x1))))) -> 1(3(4(5(5(0(0(0(1(1(x1)))))))))) 55.19/14.44 5(3(5(3(5(x1))))) -> 0(5(5(2(4(1(3(2(5(2(x1)))))))))) 55.19/14.44 0(1(3(5(4(0(x1)))))) -> 5(0(3(4(0(3(2(5(0(2(x1)))))))))) 55.19/14.44 1(0(4(3(5(2(x1)))))) -> 1(1(5(3(3(4(4(2(2(2(x1)))))))))) 55.19/14.44 2(0(4(5(2(1(x1)))))) -> 3(0(3(3(2(5(0(4(3(4(x1)))))))))) 55.19/14.44 2(2(5(4(1(2(x1)))))) -> 3(3(0(0(5(2(4(5(1(2(x1)))))))))) 55.19/14.44 2(4(0(5(5(4(x1)))))) -> 0(3(1(1(2(0(1(3(4(3(x1)))))))))) 55.19/14.44 2(4(5(5(4(0(x1)))))) -> 0(2(3(1(3(4(4(4(0(5(x1)))))))))) 55.19/14.44 3(0(4(5(4(2(x1)))))) -> 1(2(3(3(2(0(3(3(4(0(x1)))))))))) 55.19/14.44 4(2(4(1(2(5(x1)))))) -> 3(4(0(5(0(5(1(4(1(5(x1)))))))))) 55.19/14.44 5(0(5(4(0(5(x1)))))) -> 0(0(4(0(4(0(3(1(3(2(x1)))))))))) 55.19/14.44 5(2(5(2(2(4(x1)))))) -> 5(5(0(2(5(1(0(5(2(4(x1)))))))))) 55.19/14.44 5(2(5(4(1(0(x1)))))) -> 5(1(1(5(2(1(0(1(3(2(x1)))))))))) 55.19/14.44 5(3(0(4(2(1(x1)))))) -> 5(2(1(0(2(5(4(4(1(1(x1)))))))))) 55.19/14.44 5(4(2(0(4(0(x1)))))) -> 0(1(1(1(1(4(0(2(5(1(x1)))))))))) 55.19/14.44 5(4(2(2(3(0(x1)))))) -> 0(1(1(4(2(1(1(5(1(0(x1)))))))))) 55.19/14.44 0(4(0(3(5(3(0(x1))))))) -> 5(1(2(4(5(3(4(2(5(0(x1)))))))))) 55.19/14.44 0(4(2(4(2(4(2(x1))))))) -> 1(4(5(1(2(3(1(2(0(1(x1)))))))))) 55.19/14.44 0(4(2(5(2(2(5(x1))))))) -> 1(4(2(5(3(0(3(1(2(5(x1)))))))))) 55.19/14.44 0(4(3(0(2(1(5(x1))))))) -> 0(2(0(3(1(5(4(4(2(0(x1)))))))))) 55.19/14.44 0(4(5(2(5(4(2(x1))))))) -> 1(4(3(1(1(1(4(2(0(1(x1)))))))))) 55.19/14.44 1(0(4(5(4(3(5(x1))))))) -> 1(2(4(4(3(0(5(3(2(0(x1)))))))))) 55.19/14.44 2(2(2(5(4(5(5(x1))))))) -> 1(4(1(0(3(5(0(0(5(5(x1)))))))))) 55.19/14.44 2(2(5(4(1(4(0(x1))))))) -> 3(1(5(2(3(2(3(2(1(4(x1)))))))))) 55.19/14.44 2(5(4(0(5(5(4(x1))))))) -> 2(0(1(2(0(5(0(4(0(3(x1)))))))))) 55.19/14.44 2(5(4(3(5(4(5(x1))))))) -> 2(0(0(0(2(3(4(5(5(1(x1)))))))))) 55.19/14.44 4(1(2(4(2(2(5(x1))))))) -> 4(2(2(2(0(4(1(0(2(5(x1)))))))))) 55.19/14.44 5(2(3(1(0(4(0(x1))))))) -> 0(2(5(3(4(0(3(5(1(0(x1)))))))))) 55.19/14.44 5(5(3(0(4(3(0(x1))))))) -> 0(1(0(4(0(2(1(1(5(0(x1)))))))))) 55.19/14.44 5(5(4(2(4(0(5(x1))))))) -> 3(4(5(5(2(4(3(0(1(0(x1)))))))))) 55.19/14.44 55.19/14.44 Proof: 55.19/14.44 Bounds Processor: 55.19/14.44 bound: 1 55.19/14.44 enrichment: match 55.19/14.44 automaton: 55.19/14.44 final states: {330,322,315,307,299,291,283,274,266,259,250,241,233, 55.19/14.44 224,215,206,199,192,183,176,167,157,147,138,129,120, 55.19/14.44 111,102,93,85,76,68,58,49,40,32,22,12,1} 55.19/14.44 transitions: 55.19/14.44 11(339) -> 340* 55.19/14.44 11(341) -> 342* 55.19/14.44 11(338) -> 339* 55.19/14.44 11(360) -> 361* 55.19/14.44 11(345) -> 346* 55.19/14.44 11(362) -> 363* 55.19/14.44 11(347) -> 348* 55.19/14.44 01(361) -> 362* 55.19/14.44 01(346) -> 347* 55.19/14.44 01(363) -> 364* 55.19/14.44 01(342) -> 343* 55.19/14.44 31(344) -> 345* 55.19/14.44 31(365) -> 366* 55.19/14.44 21(343) -> 344* 55.19/14.44 41(364) -> 365* 55.19/14.44 41(366) -> 367* 55.19/14.44 41(340) -> 341* 55.19/14.44 41(367) -> 368* 55.19/14.44 51(369) -> 370* 55.19/14.44 51(368) -> 369* 55.19/14.44 f60() -> 2* 55.19/14.44 50(277) -> 278* 55.19/14.44 50(267) -> 268* 55.19/14.44 50(232) -> 224* 55.19/14.44 50(15) -> 16* 55.19/14.44 50(10) -> 11* 55.19/14.44 50(207) -> 300* 55.19/14.44 50(187) -> 188* 55.19/14.44 50(172) -> 173* 55.19/14.44 50(334) -> 335* 55.19/14.44 50(319) -> 320* 55.19/14.44 50(117) -> 118* 55.19/14.44 50(17) -> 18* 55.19/14.44 50(2) -> 148* 55.19/14.44 50(184) -> 185* 55.19/14.44 50(99) -> 100* 55.19/14.44 50(89) -> 90* 55.19/14.44 50(59) -> 94* 55.19/14.44 50(246) -> 247* 55.19/14.44 50(29) -> 30* 55.19/14.44 50(216) -> 217* 55.19/14.44 50(4) -> 33* 55.19/14.44 50(191) -> 183* 55.19/14.44 50(293) -> 294* 55.19/14.44 50(288) -> 289* 55.19/14.44 50(253) -> 254* 55.19/14.44 50(238) -> 239* 55.19/14.44 50(228) -> 229* 55.19/14.44 50(11) -> 1* 55.19/14.44 50(198) -> 192* 55.19/14.44 50(158) -> 225* 55.19/14.44 50(148) -> 275* 55.19/14.44 50(335) -> 336* 55.19/14.44 50(133) -> 134* 55.19/14.44 50(123) -> 124* 55.19/14.44 50(103) -> 104* 55.19/14.44 50(88) -> 89* 55.19/14.44 50(13) -> 50* 55.19/14.44 50(205) -> 199* 55.19/14.44 50(3) -> 207* 55.19/14.44 50(200) -> 201* 55.19/14.44 50(195) -> 196* 55.19/14.44 50(190) -> 191* 55.19/14.44 50(170) -> 171* 55.19/14.44 50(130) -> 131* 55.19/14.44 50(110) -> 102* 55.19/14.44 50(100) -> 101* 55.19/14.44 50(80) -> 81* 55.19/14.44 40(55) -> 56* 55.19/14.44 40(252) -> 253* 55.19/14.44 40(314) -> 307* 55.19/14.44 40(309) -> 310* 55.19/14.44 40(107) -> 108* 55.19/14.44 40(97) -> 98* 55.19/14.44 40(264) -> 265* 55.19/14.44 40(57) -> 49* 55.19/14.44 40(42) -> 200* 55.19/14.44 40(239) -> 240* 55.19/14.44 40(234) -> 260* 55.19/14.44 40(229) -> 230* 55.19/14.44 40(209) -> 210* 55.19/14.44 40(2) -> 13* 55.19/14.44 40(174) -> 175* 55.19/14.44 40(149) -> 150* 55.19/14.44 40(336) -> 337* 55.19/14.44 40(326) -> 327* 55.19/14.44 40(114) -> 115* 55.19/14.44 40(281) -> 282* 55.19/14.44 40(74) -> 75* 55.19/14.44 40(271) -> 272* 55.19/14.44 40(64) -> 65* 55.19/14.44 40(54) -> 55* 55.19/14.44 40(251) -> 252* 55.19/14.44 40(226) -> 227* 55.19/14.44 40(24) -> 292* 55.19/14.44 40(19) -> 20* 55.19/14.44 40(9) -> 10* 55.19/14.44 40(4) -> 69* 55.19/14.44 40(151) -> 152* 55.19/14.44 40(131) -> 132* 55.19/14.44 40(121) -> 122* 55.19/14.44 40(66) -> 67* 55.19/14.44 40(248) -> 249* 55.19/14.44 40(41) -> 42* 55.19/14.44 40(6) -> 7* 55.19/14.44 40(178) -> 179* 55.19/14.44 40(168) -> 169* 55.19/14.44 40(158) -> 159* 55.19/14.44 40(113) -> 114* 55.19/14.44 40(300) -> 301* 55.19/14.44 40(78) -> 79* 55.19/14.44 40(270) -> 271* 55.19/14.44 40(63) -> 64* 55.19/14.44 40(23) -> 139* 55.19/14.44 40(220) -> 221* 55.19/14.44 40(8) -> 9* 55.19/14.44 40(180) -> 181* 55.19/14.44 40(150) -> 151* 55.19/14.44 40(332) -> 333* 55.19/14.44 40(317) -> 318* 55.19/14.44 40(90) -> 91* 55.19/14.44 30(70) -> 71* 55.19/14.44 30(50) -> 51* 55.19/14.44 30(45) -> 46* 55.19/14.44 30(227) -> 228* 55.19/14.44 30(217) -> 316* 55.19/14.44 30(152) -> 153* 55.19/14.44 30(137) -> 129* 55.19/14.44 30(284) -> 285* 55.19/14.44 30(269) -> 270* 55.19/14.44 30(67) -> 58* 55.19/14.44 30(52) -> 53* 55.19/14.44 30(37) -> 38* 55.19/14.44 30(7) -> 8* 55.19/14.44 30(2) -> 23* 55.19/14.44 30(164) -> 165* 55.19/14.44 30(159) -> 160* 55.19/14.44 30(154) -> 155* 55.19/14.44 30(139) -> 140* 55.19/14.44 30(331) -> 332* 55.19/14.44 30(301) -> 302* 55.19/14.44 30(286) -> 287* 55.19/14.44 30(59) -> 60* 55.19/14.44 30(251) -> 267* 55.19/14.44 30(34) -> 35* 55.19/14.44 30(136) -> 137* 55.19/14.44 30(126) -> 127* 55.19/14.44 30(318) -> 319* 55.19/14.44 30(116) -> 117* 55.19/14.44 30(91) -> 92* 55.19/14.44 30(278) -> 279* 55.19/14.44 30(71) -> 72* 55.19/14.44 30(263) -> 264* 55.19/14.44 30(61) -> 177* 55.19/14.44 30(51) -> 52* 55.19/14.44 30(243) -> 244* 55.19/14.44 30(163) -> 164* 55.19/14.44 30(128) -> 120* 55.19/14.44 30(108) -> 109* 55.19/14.44 30(290) -> 283* 55.19/14.44 30(83) -> 84* 55.19/14.44 30(255) -> 256* 55.19/14.44 30(245) -> 246* 55.19/14.44 30(38) -> 39* 55.19/14.44 30(235) -> 236* 55.19/14.44 30(13) -> 121* 55.19/14.44 30(175) -> 167* 55.19/14.44 30(160) -> 161* 55.19/14.44 30(145) -> 146* 55.19/14.44 30(337) -> 330* 55.19/14.44 30(125) -> 126* 55.19/14.44 30(115) -> 116* 55.19/14.44 30(105) -> 106* 55.19/14.44 30(95) -> 96* 55.19/14.44 00(242) -> 308* 55.19/14.44 00(30) -> 31* 55.19/14.44 00(20) -> 21* 55.19/14.44 00(5) -> 6* 55.19/14.44 00(202) -> 203* 55.19/14.44 00(182) -> 176* 55.19/14.44 00(177) -> 178* 55.19/14.44 00(329) -> 322* 55.19/14.44 00(127) -> 128* 55.19/14.44 00(122) -> 123* 55.19/14.44 00(304) -> 305* 55.19/14.44 00(294) -> 295* 55.19/14.44 00(87) -> 88* 55.19/14.45 00(279) -> 280* 55.19/14.45 00(72) -> 73* 55.19/14.45 00(62) -> 63* 55.19/14.45 00(47) -> 48* 55.19/14.45 00(244) -> 245* 55.19/14.45 00(27) -> 28* 55.19/14.45 00(214) -> 206* 55.19/14.45 00(2) -> 158* 55.19/14.45 00(189) -> 190* 55.19/14.45 00(179) -> 180* 55.19/14.45 00(134) -> 135* 55.19/14.45 00(321) -> 315* 55.19/14.45 00(316) -> 317* 55.19/14.45 00(109) -> 110* 55.19/14.45 00(79) -> 80* 55.19/14.45 00(276) -> 277* 55.19/14.45 00(59) -> 103* 55.19/14.45 00(256) -> 257* 55.19/14.45 00(39) -> 32* 55.19/14.45 00(216) -> 331* 55.19/14.45 00(181) -> 182* 55.19/14.45 00(171) -> 172* 55.19/14.45 00(161) -> 162* 55.19/14.45 00(156) -> 147* 55.19/14.45 00(146) -> 138* 55.19/14.45 00(141) -> 142* 55.19/14.45 00(106) -> 107* 55.19/14.45 00(303) -> 304* 55.19/14.45 00(101) -> 93* 55.19/14.45 00(86) -> 87* 55.19/14.45 00(81) -> 82* 55.19/14.45 00(268) -> 269* 55.19/14.45 00(61) -> 193* 55.19/14.45 00(258) -> 250* 55.19/14.45 00(56) -> 57* 55.19/14.45 00(41) -> 86* 55.19/14.45 00(36) -> 37* 55.19/14.45 00(31) -> 22* 55.19/14.45 00(26) -> 27* 55.19/14.45 00(223) -> 215* 55.19/14.45 00(21) -> 12* 55.19/14.45 00(16) -> 17* 55.19/14.45 00(208) -> 209* 55.19/14.45 00(173) -> 174* 55.19/14.45 00(148) -> 149* 55.19/14.45 00(325) -> 326* 55.19/14.45 00(310) -> 311* 55.19/14.45 00(305) -> 306* 55.19/14.45 00(275) -> 276* 55.19/14.45 00(43) -> 44* 55.19/14.45 00(33) -> 34* 55.19/14.45 00(23) -> 24* 55.19/14.45 00(13) -> 77* 55.19/14.45 00(3) -> 4* 55.19/14.45 00(185) -> 186* 55.19/14.45 00(135) -> 136* 55.19/14.45 00(327) -> 328* 55.19/14.45 00(297) -> 298* 55.19/14.45 00(292) -> 293* 55.19/14.45 10(75) -> 68* 55.19/14.45 10(65) -> 66* 55.19/14.45 10(262) -> 263* 55.19/14.45 10(60) -> 61* 55.19/14.45 10(242) -> 243* 55.19/14.45 10(237) -> 238* 55.19/14.45 10(35) -> 36* 55.19/14.45 10(222) -> 223* 55.19/14.45 10(217) -> 218* 55.19/14.45 10(212) -> 213* 55.19/14.45 10(197) -> 198* 55.19/14.45 10(92) -> 85* 55.19/14.45 10(289) -> 290* 55.19/14.45 10(254) -> 255* 55.19/14.45 10(249) -> 241* 55.19/14.45 10(42) -> 43* 55.19/14.45 10(234) -> 235* 55.19/14.45 10(2) -> 3* 55.19/14.45 10(169) -> 170* 55.19/14.45 10(144) -> 145* 55.19/14.45 10(119) -> 111* 55.19/14.45 10(296) -> 297* 55.19/14.45 10(69) -> 70* 55.19/14.45 10(261) -> 262* 55.19/14.45 10(59) -> 130* 55.19/14.45 10(231) -> 232* 55.19/14.45 10(24) -> 25* 55.19/14.45 10(221) -> 222* 55.19/14.45 10(14) -> 15* 55.19/14.45 10(211) -> 212* 55.19/14.45 10(4) -> 5* 55.19/14.45 10(196) -> 197* 55.19/14.45 10(186) -> 187* 55.19/14.45 10(166) -> 157* 55.19/14.45 10(328) -> 329* 55.19/14.45 10(323) -> 324* 55.19/14.45 10(308) -> 309* 55.19/14.45 10(96) -> 97* 55.19/14.45 10(273) -> 266* 55.19/14.45 10(46) -> 47* 55.19/14.45 10(218) -> 219* 55.19/14.45 10(213) -> 214* 55.19/14.45 10(203) -> 204* 55.19/14.45 10(193) -> 194* 55.19/14.45 10(158) -> 216* 55.19/14.45 10(153) -> 154* 55.19/14.45 10(148) -> 168* 55.19/14.45 10(143) -> 144* 55.19/14.45 10(118) -> 119* 55.19/14.45 10(280) -> 281* 55.19/14.45 10(73) -> 74* 55.19/14.45 10(265) -> 259* 55.19/14.45 10(260) -> 261* 55.19/14.45 10(53) -> 54* 55.19/14.45 10(48) -> 40* 55.19/14.45 10(240) -> 233* 55.19/14.45 10(28) -> 29* 55.19/14.45 10(225) -> 323* 55.19/14.45 10(18) -> 19* 55.19/14.45 10(13) -> 14* 55.19/14.45 10(210) -> 211* 55.19/14.45 10(3) -> 41* 55.19/14.45 10(140) -> 141* 55.19/14.45 10(282) -> 274* 55.19/14.45 20(272) -> 273* 55.19/14.45 20(257) -> 258* 55.19/14.45 20(247) -> 248* 55.19/14.45 20(25) -> 26* 55.19/14.45 20(207) -> 208* 55.19/14.45 20(162) -> 163* 55.19/14.45 20(142) -> 143* 55.19/14.45 20(132) -> 133* 55.19/14.45 20(324) -> 325* 55.19/14.45 20(112) -> 113* 55.19/14.45 20(82) -> 83* 55.19/14.45 20(77) -> 78* 55.19/14.45 20(219) -> 220* 55.19/14.45 20(204) -> 205* 55.19/14.45 20(2) -> 59* 55.19/14.45 20(194) -> 195* 55.19/14.45 20(124) -> 125* 55.19/14.45 20(311) -> 312* 55.19/14.45 20(306) -> 299* 55.19/14.45 20(104) -> 105* 55.19/14.45 20(94) -> 95* 55.19/14.45 20(84) -> 76* 55.19/14.45 20(59) -> 112* 55.19/14.45 20(44) -> 45* 55.19/14.45 20(236) -> 237* 55.19/14.45 20(14) -> 284* 55.19/14.45 20(4) -> 234* 55.19/14.45 20(201) -> 202* 55.19/14.45 20(333) -> 334* 55.19/14.45 20(313) -> 314* 55.19/14.45 20(298) -> 291* 55.19/14.45 20(61) -> 62* 55.19/14.45 20(188) -> 189* 55.19/14.45 20(158) -> 251* 55.19/14.45 20(148) -> 242* 55.19/14.45 20(320) -> 321* 55.19/14.45 20(98) -> 99* 55.19/14.45 20(295) -> 296* 55.19/14.45 20(285) -> 286* 55.19/14.45 20(230) -> 231* 55.19/14.45 20(225) -> 226* 55.19/14.45 20(13) -> 184* 55.19/14.45 20(165) -> 166* 55.19/14.45 20(155) -> 156* 55.19/14.45 20(312) -> 313* 55.19/14.45 20(302) -> 303* 55.19/14.45 20(287) -> 288* 55.19/14.45 1 -> 148,50 55.19/14.45 12 -> 148,50 55.19/14.45 22 -> 148,50 55.19/14.45 32 -> 148,50 55.19/14.45 40 -> 3,14 55.19/14.45 49 -> 13,159,150 55.19/14.45 58 -> 13* 55.19/14.45 68 -> 3,216 55.19/14.45 76 -> 59,242 55.19/14.45 85 -> 13,159,150 55.19/14.45 93 -> 148* 55.19/14.45 102 -> 158,4 55.19/14.45 111 -> 3,216 55.19/14.45 120 -> 59,251,78 55.19/14.45 129 -> 59,112 55.19/14.45 138 -> 59,184 55.19/14.45 147 -> 59,184 55.19/14.45 157 -> 23* 55.19/14.45 167 -> 13* 55.19/14.45 176 -> 148,225 55.19/14.45 183 -> 148,94 55.19/14.45 192 -> 148,94 55.19/14.45 199 -> 148* 55.19/14.45 206 -> 148,50 55.19/14.45 215 -> 148,50 55.19/14.45 218 -> 338* 55.19/14.45 224 -> 158,77,293 55.19/14.45 233 -> 158,77 55.19/14.45 241 -> 158,77 55.19/14.45 250 -> 158,77 55.19/14.45 259 -> 158,77 55.19/14.45 266 -> 3,216 55.19/14.45 274 -> 59,112,113 55.19/14.45 283 -> 59,112 55.19/14.45 291 -> 59,242 55.19/14.45 299 -> 59,242 55.19/14.45 307 -> 13* 55.19/14.45 313 -> 360* 55.19/14.45 315 -> 148,94 55.19/14.45 322 -> 148,275 55.19/14.45 330 -> 148,275 55.19/14.45 348 -> 222* 55.19/14.45 370 -> 50* 55.19/14.45 problem: 55.19/14.45 55.19/14.45 Qed 55.19/14.45 EOF