24.78/6.89 YES 24.78/6.90 24.78/6.90 Problem: 24.78/6.90 0(1(2(x1))) -> 0(3(3(x1))) 24.78/6.90 0(4(2(5(3(2(x1)))))) -> 0(1(2(4(0(x1))))) 24.78/6.90 4(4(1(4(2(1(1(x1))))))) -> 5(0(1(1(1(5(x1)))))) 24.78/6.90 4(5(0(3(2(5(3(x1))))))) -> 4(1(1(0(2(3(x1)))))) 24.78/6.90 0(0(1(0(0(3(5(3(x1)))))))) -> 0(0(0(2(3(2(2(3(x1)))))))) 24.78/6.90 5(1(1(3(1(5(4(2(x1)))))))) -> 5(5(3(4(4(2(0(2(x1)))))))) 24.78/6.90 1(1(0(0(5(2(5(2(2(x1))))))))) -> 1(3(1(1(5(3(3(5(1(x1))))))))) 24.78/6.90 4(3(2(4(0(0(2(2(3(5(0(x1))))))))))) -> 1(0(5(2(2(5(2(1(5(5(x1)))))))))) 24.78/6.90 5(1(2(5(5(2(4(1(1(5(2(x1))))))))))) -> 5(1(5(2(0(3(5(0(1(4(1(x1))))))))))) 24.78/6.90 1(0(4(3(2(1(4(1(5(1(1(2(x1)))))))))))) -> 4(2(0(3(3(5(3(1(4(5(3(3(5(x1))))))))))))) 24.78/6.90 5(2(0(5(0(1(1(1(2(4(4(2(x1)))))))))))) -> 5(2(0(2(0(3(3(0(0(4(2(4(x1)))))))))))) 24.78/6.90 4(1(5(5(5(3(3(1(3(3(3(4(5(x1))))))))))))) -> 4(1(4(3(4(5(1(1(1(1(2(5(x1)))))))))))) 24.78/6.90 1(1(5(5(0(3(1(4(0(0(3(5(5(4(x1)))))))))))))) -> 0(1(3(1(3(0(3(4(5(0(4(1(5(4(x1)))))))))))))) 24.78/6.90 3(1(3(0(1(4(5(2(5(0(2(2(4(3(x1)))))))))))))) -> 3(0(5(2(2(0(4(5(2(1(5(5(5(x1))))))))))))) 24.78/6.90 5(3(1(5(4(5(4(5(1(1(1(2(2(1(5(2(x1)))))))))))))))) -> 24.78/6.90 5(0(0(5(2(3(2(4(4(1(1(1(5(5(5(x1))))))))))))))) 24.78/6.90 0(3(0(2(1(3(4(2(1(5(2(4(3(0(1(0(2(x1))))))))))))))))) -> 24.78/6.90 2(0(4(5(5(2(0(0(1(0(3(2(5(4(1(3(3(x1))))))))))))))))) 24.78/6.90 1(2(0(4(4(0(3(0(5(2(4(0(3(3(1(1(4(x1))))))))))))))))) -> 24.78/6.90 4(5(4(0(4(3(5(0(2(5(0(5(3(0(3(1(4(x1))))))))))))))))) 24.78/6.90 4(0(1(5(4(1(3(5(5(0(0(5(4(5(4(0(5(4(x1)))))))))))))))))) -> 24.78/6.90 2(1(2(5(0(0(4(1(0(1(5(5(4(5(2(4(1(4(x1)))))))))))))))))) 24.78/6.90 4(4(4(4(4(1(3(4(1(5(1(4(0(1(4(0(4(5(x1)))))))))))))))))) -> 24.78/6.90 4(2(2(3(1(2(3(5(4(3(3(4(2(1(2(0(3(4(5(x1))))))))))))))))))) 24.78/6.90 4(3(3(3(5(5(1(2(5(0(4(1(4(4(2(3(0(4(2(x1))))))))))))))))))) -> 24.78/6.90 4(3(4(5(5(0(2(5(5(0(2(2(5(2(0(0(3(3(x1)))))))))))))))))) 24.78/6.90 0(3(2(2(5(4(0(2(4(0(1(3(3(1(0(3(4(3(1(5(x1)))))))))))))))))))) -> 24.78/6.90 0(3(1(0(5(4(3(2(0(3(3(4(1(0(4(3(3(3(1(1(x1)))))))))))))))))))) 24.78/6.90 1(0(5(2(2(3(2(0(5(5(3(4(4(3(1(0(0(2(1(2(x1)))))))))))))))))))) -> 24.78/6.90 1(3(1(4(5(3(3(3(3(0(2(5(1(4(5(4(3(1(5(1(x1)))))))))))))))))))) 24.78/6.90 5(4(4(2(2(2(3(0(1(5(3(5(1(0(2(3(1(5(4(1(x1)))))))))))))))))))) -> 24.78/6.90 5(1(0(5(1(1(3(0(5(0(3(5(5(2(4(0(1(5(5(x1))))))))))))))))))) 24.78/6.90 3(0(2(2(2(0(0(4(3(2(2(5(5(0(3(2(1(2(2(2(0(x1))))))))))))))))))))) -> 24.78/6.90 5(2(2(5(1(3(5(0(3(2(1(1(1(0(4(5(3(4(0(5(x1)))))))))))))))))))) 24.78/6.90 4(4(1(2(0(1(2(3(1(0(1(0(0(3(3(4(4(1(1(1(2(x1))))))))))))))))))))) -> 24.78/6.90 4(1(0(1(0(3(1(4(1(5(3(3(3(0(1(2(3(1(2(5(1(x1))))))))))))))))))))) 24.78/6.90 24.78/6.90 Proof: 24.78/6.90 Bounds Processor: 24.78/6.90 bound: 1 24.78/6.90 enrichment: match 24.78/6.90 automaton: 24.78/6.90 final states: {285,266,250,232,213,198,180,164,148,133,122,111,98, 24.78/6.90 87,75,63,53,44,35,27,21,16,10,5,1} 24.78/6.90 transitions: 24.78/6.90 f60() -> 2* 24.78/6.90 00(277) -> 278* 24.78/6.90 00(55) -> 56* 24.78/6.90 00(25) -> 26* 24.78/6.90 00(207) -> 208* 24.78/6.90 00(182) -> 183* 24.78/6.90 00(299) -> 300* 24.78/6.90 00(82) -> 83* 24.78/6.90 00(72) -> 73* 24.78/6.90 00(17) -> 18* 24.78/6.90 00(2) -> 6* 24.78/6.90 00(174) -> 175* 24.78/6.90 00(301) -> 302* 24.78/6.90 00(84) -> 85* 24.78/6.90 00(79) -> 80* 24.78/6.90 00(271) -> 272* 24.78/6.90 00(256) -> 257* 24.78/6.90 00(231) -> 213* 24.78/6.90 00(24) -> 25* 24.78/6.90 00(14) -> 15* 24.78/6.90 00(9) -> 5* 24.78/6.90 00(4) -> 1* 24.78/6.90 00(171) -> 172* 24.78/6.90 00(156) -> 157* 24.78/6.90 00(146) -> 147* 24.78/6.90 00(141) -> 142* 24.78/6.90 00(131) -> 132* 24.78/6.90 00(116) -> 117* 24.78/6.90 00(101) -> 102* 24.78/6.90 00(263) -> 264* 24.78/6.90 00(258) -> 259* 24.78/6.90 00(51) -> 52* 24.78/6.90 00(46) -> 251* 24.78/6.90 00(228) -> 229* 24.78/6.90 00(26) -> 21* 24.78/6.90 00(223) -> 224* 24.78/6.90 00(218) -> 219* 24.78/6.90 00(11) -> 267* 24.78/6.90 00(203) -> 204* 24.78/6.90 00(1) -> 199* 24.78/6.90 00(153) -> 154* 24.78/6.90 00(138) -> 139* 24.78/6.90 00(290) -> 291* 24.78/6.90 00(78) -> 79* 24.78/6.90 00(58) -> 59* 24.78/6.90 00(240) -> 241* 24.78/6.90 00(28) -> 29* 24.78/6.90 00(175) -> 176* 24.78/6.90 00(160) -> 161* 24.78/6.90 00(150) -> 151* 24.78/6.90 00(140) -> 141* 24.78/6.90 00(130) -> 131* 24.78/6.90 00(120) -> 121* 24.78/6.90 00(110) -> 98* 24.78/6.90 00(105) -> 106* 24.78/6.90 30(70) -> 71* 24.78/6.90 30(242) -> 243* 24.78/6.90 30(222) -> 223* 24.78/6.90 30(187) -> 188* 24.78/6.90 30(137) -> 138* 24.78/6.90 30(127) -> 128* 24.78/6.90 30(279) -> 280* 24.78/6.90 30(259) -> 260* 24.78/6.90 30(57) -> 58* 24.78/6.90 30(244) -> 245* 24.78/6.90 30(42) -> 43* 24.78/6.90 30(37) -> 38* 24.78/6.90 30(32) -> 33* 24.78/6.90 30(22) -> 23* 24.78/6.90 30(214) -> 215* 24.78/6.90 30(2) -> 3* 24.78/6.90 30(194) -> 195* 24.78/6.90 30(149) -> 150* 24.78/6.90 30(104) -> 105* 24.78/6.90 30(94) -> 95* 24.78/6.90 30(291) -> 292* 24.78/6.90 30(276) -> 277* 24.78/6.90 30(64) -> 65* 24.78/6.90 30(241) -> 242* 24.78/6.90 30(221) -> 222* 24.78/6.90 30(216) -> 217* 24.78/6.90 30(211) -> 212* 24.78/6.90 30(191) -> 192* 24.95/6.90 30(181) -> 182* 24.95/6.90 30(151) -> 152* 24.95/6.90 30(121) -> 111* 24.95/6.90 30(106) -> 107* 24.95/6.90 30(298) -> 299* 24.95/6.90 30(293) -> 294* 24.95/6.90 30(81) -> 82* 24.95/6.90 30(71) -> 72* 24.95/6.90 30(268) -> 269* 24.95/6.90 30(248) -> 249* 24.95/6.90 30(243) -> 244* 24.95/6.90 30(233) -> 234* 24.95/6.90 30(11) -> 64* 24.95/6.90 30(188) -> 189* 24.95/6.90 30(158) -> 159* 24.95/6.90 30(108) -> 109* 24.95/6.90 30(68) -> 69* 24.95/6.90 30(255) -> 256* 24.95/6.90 30(38) -> 39* 24.95/6.90 30(230) -> 231* 24.95/6.90 30(225) -> 226* 24.95/6.90 30(215) -> 216* 24.95/6.90 30(3) -> 4* 24.95/6.90 30(292) -> 293* 24.95/6.90 30(287) -> 288* 24.95/6.90 30(80) -> 81* 24.95/6.90 10(272) -> 273* 24.95/6.90 10(247) -> 248* 24.95/6.90 10(45) -> 46* 24.95/6.90 10(40) -> 41* 24.95/6.90 10(237) -> 238* 24.95/6.90 10(172) -> 173* 24.95/6.90 10(112) -> 113* 24.95/6.90 10(107) -> 108* 24.95/6.90 10(289) -> 290* 24.95/6.90 10(274) -> 275* 24.95/6.90 10(67) -> 68* 24.95/6.90 10(264) -> 265* 24.95/6.90 10(52) -> 44* 24.95/6.90 10(249) -> 232* 24.95/6.90 10(37) -> 233* 24.95/6.90 10(229) -> 230* 24.95/6.90 10(219) -> 220* 24.95/6.90 10(12) -> 13* 24.95/6.90 10(2) -> 36* 24.95/6.90 10(184) -> 185* 24.95/6.90 10(139) -> 140* 24.95/6.90 10(109) -> 110* 24.95/6.90 10(99) -> 100* 24.95/6.90 10(89) -> 90* 24.95/6.90 10(286) -> 287* 24.95/6.90 10(261) -> 262* 24.95/6.90 10(54) -> 55* 24.95/6.90 10(19) -> 20* 24.95/6.90 10(4) -> 134* 24.95/6.90 10(96) -> 97* 24.95/6.90 10(91) -> 92* 24.95/6.90 10(76) -> 149* 24.95/6.90 10(273) -> 274* 24.95/6.90 10(61) -> 62* 24.95/6.90 10(41) -> 42* 24.95/6.90 10(36) -> 214* 24.95/6.90 10(11) -> 12* 24.95/6.90 10(193) -> 194* 24.95/6.90 10(178) -> 179* 24.95/6.90 10(123) -> 124* 24.95/6.90 10(113) -> 123* 24.95/6.90 10(300) -> 301* 24.95/6.90 10(295) -> 296* 24.95/6.90 10(88) -> 89* 24.95/6.90 10(280) -> 281* 24.95/6.90 10(260) -> 261* 24.95/6.90 10(43) -> 35* 24.95/6.90 10(18) -> 19* 24.95/6.90 10(13) -> 14* 24.95/6.90 10(8) -> 9* 24.95/6.90 10(170) -> 171* 24.95/6.90 10(302) -> 303* 24.95/6.90 10(297) -> 298* 24.95/6.90 10(90) -> 91* 24.95/6.90 20(252) -> 253* 24.95/6.90 20(202) -> 203* 24.95/6.90 20(192) -> 193* 24.95/6.90 20(177) -> 178* 24.95/6.90 20(147) -> 133* 24.95/6.90 20(142) -> 143* 24.95/6.90 20(117) -> 118* 24.95/6.90 20(239) -> 240* 24.95/6.90 20(37) -> 286* 24.95/6.90 20(224) -> 225* 24.95/6.90 20(17) -> 22* 24.95/6.90 20(7) -> 8* 24.95/6.90 20(2) -> 28* 24.95/6.90 20(199) -> 200* 24.95/6.90 20(179) -> 164* 24.95/6.90 20(59) -> 60* 24.95/6.90 20(49) -> 50* 24.95/6.90 20(29) -> 30* 24.95/6.90 20(206) -> 207* 24.95/6.90 20(201) -> 202* 24.95/6.90 20(196) -> 197* 24.95/6.90 20(136) -> 137* 24.95/6.90 20(126) -> 127* 24.95/6.90 20(288) -> 289* 24.95/6.90 20(283) -> 284* 24.95/6.90 20(76) -> 77* 24.95/6.90 20(46) -> 47* 24.95/6.90 20(11) -> 88* 24.95/6.90 20(183) -> 184* 24.95/6.90 20(128) -> 129* 24.95/6.90 20(118) -> 119* 24.95/6.90 20(113) -> 114* 24.95/6.90 20(83) -> 84* 24.95/6.90 20(275) -> 276* 24.95/6.90 20(73) -> 74* 24.95/6.90 20(48) -> 49* 24.95/6.90 20(23) -> 24* 24.95/6.90 20(3) -> 17* 24.95/6.90 20(195) -> 196* 24.95/6.90 20(185) -> 186* 24.95/6.90 20(165) -> 166* 24.95/6.90 20(155) -> 156* 24.95/6.90 20(85) -> 86* 24.95/6.90 20(282) -> 283* 24.95/6.90 40(267) -> 268* 24.95/6.90 40(30) -> 31* 24.95/6.90 40(20) -> 16* 24.95/6.90 40(217) -> 218* 24.95/6.90 40(212) -> 198* 24.95/6.90 40(197) -> 180* 24.95/6.90 40(167) -> 168* 24.95/6.90 40(97) -> 87* 24.95/6.90 40(77) -> 78* 24.95/6.90 40(234) -> 235* 24.95/6.90 40(2) -> 76* 24.95/6.90 40(189) -> 190* 24.95/6.90 40(159) -> 160* 24.95/6.90 40(149) -> 165* 24.95/6.90 40(134) -> 135* 24.95/6.90 40(124) -> 125* 24.95/6.90 40(296) -> 297* 24.95/6.90 40(74) -> 63* 24.95/6.90 40(251) -> 252* 24.95/6.90 40(246) -> 247* 24.95/6.90 40(236) -> 237* 24.95/6.90 40(226) -> 227* 24.95/6.90 40(186) -> 187* 24.95/6.90 40(161) -> 162* 24.95/6.90 40(303) -> 285* 24.95/6.90 40(66) -> 67* 24.95/6.90 40(36) -> 54* 24.95/6.90 40(31) -> 32* 24.95/6.90 40(11) -> 181* 24.95/6.90 40(6) -> 7* 24.95/6.90 40(173) -> 174* 24.95/6.90 40(163) -> 148* 24.95/6.90 40(103) -> 104* 24.95/6.90 40(93) -> 94* 24.95/6.90 40(270) -> 271* 24.95/6.90 40(220) -> 221* 24.95/6.90 40(210) -> 211* 24.95/6.90 40(145) -> 146* 24.95/6.90 40(125) -> 126* 24.95/6.90 40(115) -> 116* 24.95/6.90 40(100) -> 101* 24.95/6.90 40(95) -> 96* 24.95/6.90 50(65) -> 66* 24.95/6.90 50(262) -> 263* 24.95/6.90 50(60) -> 61* 24.95/6.90 50(257) -> 258* 24.95/6.90 50(50) -> 51* 24.95/6.90 50(45) -> 112* 24.95/6.90 50(227) -> 228* 24.95/6.90 50(15) -> 10* 24.95/6.90 50(162) -> 163* 24.95/6.90 50(157) -> 158* 24.95/6.90 50(152) -> 153* 24.95/6.90 50(132) -> 122* 24.95/6.90 50(102) -> 103* 24.95/6.90 50(294) -> 295* 24.95/6.90 50(92) -> 93* 24.95/6.90 50(284) -> 266* 24.95/6.90 50(269) -> 270* 24.95/6.90 50(62) -> 53* 24.95/6.90 50(254) -> 255* 24.95/6.90 50(47) -> 48* 24.95/6.90 50(209) -> 210* 24.95/6.90 50(204) -> 205* 24.95/6.90 50(2) -> 11* 24.95/6.90 50(169) -> 170* 24.95/6.90 50(154) -> 155* 24.95/6.90 50(144) -> 145* 24.95/6.90 50(129) -> 130* 24.95/6.90 50(119) -> 120* 24.95/6.90 50(114) -> 115* 24.95/6.90 50(281) -> 282* 24.95/6.90 50(69) -> 70* 24.95/6.90 50(39) -> 40* 24.95/6.90 50(34) -> 27* 24.95/6.90 50(176) -> 177* 24.95/6.90 50(166) -> 167* 24.95/6.90 50(86) -> 75* 24.95/6.90 50(278) -> 279* 24.95/6.90 50(76) -> 99* 24.95/6.90 50(56) -> 57* 24.95/6.90 50(253) -> 254* 24.95/6.90 50(238) -> 239* 24.95/6.90 50(36) -> 37* 24.95/6.90 50(11) -> 45* 24.95/6.90 50(208) -> 209* 24.95/6.90 50(168) -> 169* 24.95/6.90 50(143) -> 144* 24.95/6.90 50(265) -> 250* 24.95/6.90 50(245) -> 246* 24.95/6.90 50(235) -> 236* 24.95/6.90 50(33) -> 34* 24.95/6.90 50(205) -> 206* 24.95/6.90 50(200) -> 201* 24.95/6.90 50(190) -> 191* 24.95/6.90 50(135) -> 136* 24.95/6.90 01(314) -> 315* 24.95/6.90 01(310) -> 311* 24.95/6.90 31(309) -> 310* 24.95/6.90 31(313) -> 314* 24.95/6.90 31(308) -> 309* 24.95/6.90 31(312) -> 313* 24.95/6.90 1 -> 6* 24.95/6.90 5 -> 6* 24.95/6.90 7 -> 312* 24.95/6.90 10 -> 76* 24.95/6.90 16 -> 76,181 24.95/6.90 21 -> 6* 24.95/6.90 27 -> 11,37 24.95/6.90 35 -> 36,214 24.95/6.90 44 -> 76* 24.95/6.90 53 -> 11,37 24.95/6.90 63 -> 36* 24.95/6.90 75 -> 11* 24.95/6.90 87 -> 76,54 24.95/6.90 98 -> 36,214,13 24.95/6.90 111 -> 3* 24.95/6.90 122 -> 11* 24.95/6.90 133 -> 6* 24.95/6.90 148 -> 36* 24.95/6.90 164 -> 76,7 24.95/6.90 180 -> 76* 24.95/6.90 198 -> 76* 24.95/6.90 213 -> 6* 24.95/6.90 232 -> 36* 24.95/6.90 250 -> 11,99 24.95/6.90 266 -> 3* 24.95/6.90 285 -> 76* 24.95/6.90 288 -> 308* 24.95/6.90 311 -> 291* 24.95/6.90 315 -> 5* 24.95/6.90 problem: 24.95/6.90 24.95/6.90 Qed 24.95/6.91 EOF