45.63/12.02 YES 45.63/12.03 45.63/12.03 Problem: 45.63/12.03 0(1(1(2(x1)))) -> 1(3(0(1(2(x1))))) 45.63/12.03 0(1(1(2(x1)))) -> 1(3(1(0(2(x1))))) 45.63/12.03 0(1(1(2(x1)))) -> 2(3(1(3(0(1(x1)))))) 45.63/12.03 0(1(2(0(x1)))) -> 1(0(0(2(2(x1))))) 45.63/12.03 0(1(2(4(x1)))) -> 0(2(3(4(1(x1))))) 45.63/12.03 0(1(2(4(x1)))) -> 1(0(4(2(3(x1))))) 45.63/12.03 0(1(2(4(x1)))) -> 1(2(3(0(4(x1))))) 45.63/12.03 0(1(2(4(x1)))) -> 2(1(4(0(3(x1))))) 45.63/12.03 0(1(2(4(x1)))) -> 1(2(3(4(0(5(x1)))))) 45.63/12.03 0(1(2(4(x1)))) -> 2(1(1(0(3(4(x1)))))) 45.63/12.03 0(1(2(4(x1)))) -> 4(1(2(2(3(0(x1)))))) 45.63/12.03 0(1(2(4(x1)))) -> 4(5(0(2(3(1(x1)))))) 45.63/12.03 0(4(2(0(x1)))) -> 0(4(2(3(0(x1))))) 45.63/12.03 0(4(2(0(x1)))) -> 2(3(0(4(0(0(x1)))))) 45.63/12.03 0(4(2(0(x1)))) -> 3(4(0(2(3(0(x1)))))) 45.63/12.03 0(4(2(0(x1)))) -> 4(2(3(0(4(0(x1)))))) 45.63/12.03 0(4(2(0(x1)))) -> 4(3(0(0(5(2(x1)))))) 45.63/12.03 0(4(2(4(x1)))) -> 4(0(2(3(1(4(x1)))))) 45.63/12.03 0(4(2(4(x1)))) -> 4(0(4(2(0(3(x1)))))) 45.63/12.03 5(1(2(0(x1)))) -> 2(1(3(5(0(x1))))) 45.63/12.03 5(1(2(0(x1)))) -> 3(1(0(2(5(x1))))) 45.63/12.03 5(1(2(0(x1)))) -> 2(3(0(0(1(5(x1)))))) 45.63/12.03 5(1(2(4(x1)))) -> 3(2(5(1(4(x1))))) 45.63/12.03 5(1(2(4(x1)))) -> 5(2(1(3(4(x1))))) 45.63/12.03 5(1(2(4(x1)))) -> 5(5(2(1(4(x1))))) 45.63/12.03 5(1(2(4(x1)))) -> 0(3(4(5(2(1(x1)))))) 45.63/12.03 5(1(4(2(x1)))) -> 3(4(5(2(1(x1))))) 45.63/12.03 5(1(4(2(x1)))) -> 2(1(3(4(5(4(x1)))))) 45.63/12.03 5(1(4(2(x1)))) -> 3(3(4(2(1(5(x1)))))) 45.63/12.03 5(4(1(4(x1)))) -> 3(4(4(1(5(4(x1)))))) 45.63/12.03 5(4(1(4(x1)))) -> 4(1(3(5(0(4(x1)))))) 45.63/12.03 5(4(1(4(x1)))) -> 5(1(3(4(5(4(x1)))))) 45.63/12.03 5(4(1(4(x1)))) -> 5(1(5(3(4(4(x1)))))) 45.63/12.03 5(4(2(0(x1)))) -> 5(4(2(3(0(x1))))) 45.63/12.03 5(4(2(0(x1)))) -> 0(1(2(3(4(5(x1)))))) 45.63/12.03 5(4(2(0(x1)))) -> 4(5(3(3(0(2(x1)))))) 45.63/12.03 0(1(2(0(4(x1))))) -> 0(2(4(1(3(0(x1)))))) 45.63/12.03 0(1(2(0(4(x1))))) -> 2(0(3(4(0(1(x1)))))) 45.63/12.03 0(1(2(0(4(x1))))) -> 4(0(2(3(1(0(x1)))))) 45.63/12.03 0(1(4(2(2(x1))))) -> 1(2(3(4(0(2(x1)))))) 45.63/12.03 5(0(1(2(4(x1))))) -> 3(0(2(1(4(5(x1)))))) 45.63/12.03 5(1(2(2(4(x1))))) -> 5(2(2(1(4(5(x1)))))) 45.63/12.03 5(1(2(4(0(x1))))) -> 5(0(2(1(3(4(x1)))))) 45.63/12.03 5(1(2(4(0(x1))))) -> 5(0(3(2(1(4(x1)))))) 45.63/12.03 5(1(3(1(4(x1))))) -> 1(5(1(3(4(0(x1)))))) 45.63/12.03 5(1(4(1(2(x1))))) -> 2(1(5(3(4(1(x1)))))) 45.63/12.03 5(4(1(1(4(x1))))) -> 1(1(3(4(5(4(x1)))))) 45.63/12.03 5(4(1(4(0(x1))))) -> 3(4(0(4(5(1(x1)))))) 45.63/12.03 5(4(3(2(0(x1))))) -> 5(4(0(3(2(3(x1)))))) 45.63/12.03 5(4(5(2(0(x1))))) -> 5(0(5(4(4(2(x1)))))) 45.63/12.03 45.63/12.03 Proof: 45.63/12.03 Bounds Processor: 45.63/12.03 bound: 1 45.63/12.03 enrichment: match 45.63/12.03 automaton: 45.63/12.03 final states: {195,191,186,185,182,178,175,173,171,167,163,158,154, 45.63/12.03 150,146,141,140,135,134,130,126,122,117,116,112,109, 45.63/12.03 106,103,98,94,90,86,81,76,71,68,63,61,56,50,45,39,35, 45.63/12.03 30,25,21,17,11,7,1} 45.63/12.03 transitions: 45.63/12.03 f60() -> 2* 45.63/12.03 10(40) -> 99* 45.63/12.03 10(20) -> 17* 45.63/12.03 10(10) -> 7* 45.63/12.03 10(142) -> 168* 45.63/12.03 10(132) -> 133* 45.63/12.03 10(92) -> 93* 45.63/12.03 10(52) -> 151* 45.63/12.03 10(47) -> 48* 45.63/12.03 10(37) -> 38* 45.63/12.03 10(2) -> 12* 45.63/12.03 10(179) -> 180* 45.63/12.03 10(144) -> 145* 45.63/12.03 10(54) -> 55* 45.63/12.03 10(44) -> 39* 45.63/12.03 10(34) -> 30* 45.63/12.03 10(29) -> 25* 45.63/12.03 10(14) -> 15* 45.63/12.03 10(181) -> 178* 45.63/12.03 10(166) -> 163* 45.63/12.03 10(121) -> 185* 45.63/12.03 10(96) -> 97* 45.63/12.03 10(51) -> 159* 45.63/12.03 10(46) -> 107* 45.63/12.03 10(31) -> 82* 45.63/12.03 10(6) -> 1* 45.63/12.03 10(183) -> 184* 45.63/12.03 10(138) -> 139* 45.63/12.03 10(118) -> 127* 45.63/12.03 10(48) -> 49* 45.63/12.03 10(8) -> 9* 45.63/12.03 10(3) -> 4* 45.63/12.03 10(120) -> 121* 45.63/12.03 30(70) -> 68* 45.63/12.03 30(15) -> 16* 45.63/12.03 30(5) -> 6* 45.63/12.03 30(147) -> 148* 45.63/12.03 30(142) -> 143* 45.63/12.03 30(97) -> 94* 45.63/12.03 30(82) -> 83* 45.63/12.03 30(72) -> 179* 45.63/12.03 30(42) -> 43* 45.63/12.03 30(32) -> 33* 45.63/12.03 30(27) -> 192* 45.63/12.03 30(22) -> 23* 45.63/12.03 30(12) -> 57* 45.63/12.03 30(2) -> 26* 45.63/12.03 30(164) -> 165* 45.63/12.03 30(159) -> 160* 45.63/12.03 30(129) -> 126* 45.63/12.03 30(124) -> 125* 45.63/12.03 30(119) -> 120* 45.63/12.03 30(79) -> 80* 45.63/12.03 30(9) -> 10* 45.63/12.03 30(136) -> 137* 45.63/12.03 30(131) -> 132* 45.63/12.03 30(101) -> 102* 45.63/12.03 30(91) -> 92* 45.63/12.03 30(66) -> 67* 45.63/12.03 30(51) -> 52* 45.63/12.03 30(31) -> 46* 45.63/12.03 30(73) -> 74* 45.63/12.03 30(13) -> 14* 45.63/12.03 30(8) -> 147* 45.63/12.03 30(190) -> 186* 45.63/12.03 30(170) -> 167* 45.63/12.03 30(155) -> 156* 45.63/12.03 30(125) -> 122* 45.63/12.03 30(115) -> 116* 45.63/12.03 30(110) -> 176* 45.63/12.03 30(105) -> 103* 45.63/12.03 00(65) -> 66* 45.63/12.03 00(40) -> 41* 45.63/12.03 00(192) -> 193* 45.63/12.03 00(77) -> 78* 45.63/12.03 00(72) -> 73* 45.63/12.03 00(62) -> 61* 45.63/12.03 00(12) -> 13* 45.63/12.03 00(2) -> 51* 45.63/12.03 00(169) -> 170* 45.63/12.03 00(99) -> 100* 45.63/12.03 00(84) -> 85* 45.63/12.03 00(24) -> 21* 45.63/12.03 00(19) -> 20* 45.63/12.03 00(4) -> 5* 45.63/12.03 00(176) -> 177* 45.63/12.03 00(161) -> 162* 45.63/12.03 00(156) -> 157* 45.63/12.03 00(116) -> 112* 45.63/12.03 00(51) -> 64* 45.63/12.03 00(46) -> 47* 45.63/12.03 00(31) -> 32* 45.63/12.03 00(26) -> 36* 45.63/12.03 00(198) -> 199* 45.63/12.03 00(188) -> 189* 45.63/12.03 00(153) -> 150* 45.63/12.03 00(108) -> 174* 45.63/12.03 00(88) -> 89* 45.63/12.03 00(78) -> 79* 45.63/12.03 00(58) -> 59* 45.63/12.03 00(53) -> 69* 45.63/12.03 00(28) -> 29* 45.63/12.03 00(18) -> 19* 45.63/12.03 00(3) -> 8* 45.63/12.03 00(145) -> 141* 45.63/12.03 00(100) -> 101* 45.63/12.03 00(95) -> 96* 45.63/12.03 20(40) -> 95* 45.63/12.03 20(157) -> 154* 45.63/12.03 20(152) -> 153* 45.63/12.03 20(107) -> 108* 45.63/12.03 20(102) -> 98* 45.63/12.03 20(82) -> 110* 45.63/12.03 20(67) -> 63* 45.63/12.03 20(57) -> 58* 45.63/12.03 20(52) -> 53* 45.63/12.03 20(12) -> 113* 45.63/12.03 20(2) -> 3* 45.63/12.03 20(184) -> 182* 45.63/12.03 20(169) -> 172* 45.63/12.03 20(104) -> 105* 45.63/12.03 20(99) -> 123* 45.63/12.03 20(74) -> 75* 45.63/12.03 20(49) -> 45* 45.63/12.03 20(121) -> 117* 45.63/12.03 20(36) -> 87* 45.63/12.03 20(26) -> 27* 45.63/12.03 20(16) -> 11* 45.63/12.03 20(168) -> 169* 45.63/12.03 20(143) -> 144* 45.63/12.03 20(93) -> 90* 45.63/12.03 20(83) -> 84* 45.63/12.03 20(53) -> 54* 45.63/12.03 20(43) -> 44* 45.63/12.03 20(38) -> 35* 45.63/12.03 20(33) -> 34* 45.63/12.03 20(23) -> 24* 45.63/12.03 20(3) -> 18* 45.63/12.03 20(165) -> 166* 45.63/12.03 20(160) -> 161* 45.63/12.03 40(80) -> 76* 45.63/12.03 40(75) -> 71* 45.63/12.03 40(60) -> 56* 45.63/12.03 40(55) -> 50* 45.63/12.03 40(40) -> 142* 45.63/12.03 40(187) -> 188* 45.63/12.03 40(162) -> 158* 45.63/12.03 40(127) -> 128* 45.63/12.03 40(87) -> 88* 45.63/12.03 40(27) -> 28* 45.63/12.03 40(12) -> 22* 45.63/12.03 40(2) -> 31* 45.63/12.03 40(189) -> 190* 45.63/12.03 40(149) -> 146* 45.63/12.03 40(114) -> 115* 45.63/12.03 40(89) -> 86* 45.63/12.03 40(69) -> 70* 45.63/12.03 40(64) -> 65* 45.63/12.03 40(196) -> 197* 45.63/12.03 40(151) -> 152* 45.63/12.03 40(51) -> 72* 45.63/12.03 40(41) -> 42* 45.63/12.03 40(36) -> 37* 45.63/12.03 40(31) -> 136* 45.63/12.03 40(193) -> 194* 45.63/12.03 40(133) -> 130* 45.63/12.03 40(128) -> 129* 45.63/12.03 40(123) -> 124* 45.63/12.03 40(118) -> 119* 45.63/12.03 40(53) -> 62* 45.63/12.03 40(13) -> 155* 45.63/12.03 40(8) -> 164* 45.63/12.03 40(3) -> 196* 45.63/12.03 40(85) -> 81* 45.63/12.03 50(197) -> 198* 45.63/12.03 50(177) -> 175* 45.63/12.03 50(172) -> 171* 45.63/12.03 50(137) -> 138* 45.63/12.03 50(82) -> 104* 45.63/12.03 50(62) -> 140* 45.63/12.03 50(32) -> 131* 45.63/12.03 50(12) -> 187* 45.63/12.03 50(2) -> 40* 45.63/12.03 50(199) -> 195* 45.63/12.03 50(194) -> 191* 45.63/12.03 50(174) -> 173* 45.63/12.03 50(139) -> 135* 45.63/12.03 50(59) -> 60* 45.63/12.03 50(121) -> 134* 45.63/12.03 50(111) -> 109* 45.63/12.03 50(51) -> 91* 45.63/12.03 50(31) -> 118* 45.63/12.03 50(148) -> 149* 45.63/12.03 50(113) -> 114* 45.63/12.03 50(108) -> 106* 45.63/12.03 50(23) -> 183* 45.63/12.03 50(3) -> 77* 45.63/12.03 50(180) -> 181* 45.63/12.03 50(110) -> 111* 45.63/12.03 41(232) -> 233* 45.63/12.03 41(294) -> 295* 45.63/12.03 41(259) -> 260* 45.63/12.03 41(229) -> 230* 45.63/12.03 41(209) -> 210* 45.63/12.03 41(281) -> 282* 45.63/12.03 41(236) -> 237* 45.63/12.03 41(298) -> 299* 45.63/12.03 41(213) -> 214* 45.63/12.03 41(275) -> 276* 45.63/12.03 31(282) -> 283* 45.63/12.03 31(277) -> 278* 45.63/12.03 31(257) -> 258* 45.63/12.03 31(207) -> 208* 45.63/12.03 31(304) -> 305* 45.63/12.03 31(254) -> 255* 45.63/12.03 31(234) -> 235* 45.63/12.03 31(296) -> 297* 45.63/12.03 31(230) -> 231* 45.63/12.03 31(215) -> 216* 45.63/12.03 01(252) -> 253* 45.63/12.03 01(212) -> 213* 45.63/12.03 01(274) -> 275* 45.63/12.03 01(214) -> 215* 45.63/12.03 01(276) -> 277* 45.63/12.03 01(256) -> 257* 45.63/12.03 01(206) -> 207* 45.63/12.03 01(303) -> 304* 45.63/12.03 01(253) -> 254* 45.63/12.03 01(233) -> 234* 45.63/12.03 01(228) -> 229* 45.63/12.03 01(295) -> 296* 45.63/12.03 01(280) -> 281* 45.63/12.03 01(260) -> 261* 45.63/12.03 01(210) -> 211* 45.63/12.03 01(302) -> 303* 45.63/12.03 51(301) -> 302* 45.63/12.03 51(251) -> 252* 45.63/12.03 21(216) -> 217* 45.63/12.03 21(278) -> 279* 45.63/12.03 21(258) -> 259* 45.63/12.03 21(208) -> 209* 45.63/12.03 21(300) -> 301* 45.63/12.03 21(250) -> 251* 45.63/12.03 21(235) -> 236* 45.63/12.03 21(297) -> 298* 45.63/12.03 1 -> 51,13 45.63/12.03 7 -> 51,13 45.63/12.03 11 -> 51,13 45.63/12.03 17 -> 51,13,5 45.63/12.03 21 -> 51,13,5 45.63/12.03 25 -> 51,13,5 45.63/12.03 26 -> 250,206 45.63/12.03 30 -> 51,13,5 45.63/12.03 35 -> 51,13,5 45.63/12.03 39 -> 51,13,5 45.63/12.03 45 -> 51,13,5 45.63/12.03 50 -> 51,13,5 45.63/12.03 56 -> 51,13,5 45.63/12.03 61 -> 51,32 45.63/12.03 63 -> 51,32 45.63/12.03 68 -> 51,32 45.63/12.03 71 -> 51,32 45.63/12.03 76 -> 51,32 45.63/12.03 81 -> 51,32 45.63/12.03 86 -> 51,32 45.63/12.03 90 -> 40,187 45.63/12.03 94 -> 40,187 45.63/12.03 98 -> 40,187 45.63/12.03 103 -> 40,187 45.63/12.03 106 -> 40,187 45.63/12.03 109 -> 40,187 45.63/12.03 112 -> 40,187 45.63/12.03 116 -> 40,187,104 45.63/12.03 117 -> 40,187,104 45.63/12.03 122 -> 40,187,104 45.63/12.03 126 -> 40,118 45.63/12.03 130 -> 40,118 45.63/12.03 134 -> 40,118 45.63/12.03 135 -> 40,118 45.63/12.03 140 -> 40,118 45.63/12.03 141 -> 40,118 45.63/12.03 146 -> 40,118 45.63/12.03 150 -> 51,13,5 45.63/12.03 154 -> 51,13,5 45.63/12.03 156 -> 300,256 45.63/12.03 158 -> 51,13,5 45.63/12.03 163 -> 51,13 45.63/12.03 167 -> 40,91 45.63/12.03 171 -> 40,187 45.63/12.03 173 -> 40,187 45.63/12.03 175 -> 40,187 45.63/12.03 178 -> 40,187 45.63/12.03 182 -> 40,187,104 45.63/12.03 185 -> 40,118 45.63/12.03 186 -> 40,118 45.63/12.03 191 -> 40,118 45.63/12.03 195 -> 40,118 45.63/12.03 207 -> 232,212 45.63/12.03 209 -> 228* 45.63/12.03 211 -> 89* 45.63/12.03 217 -> 89* 45.63/12.03 231 -> 89* 45.63/12.03 237 -> 89* 45.63/12.03 255 -> 236* 45.63/12.03 257 -> 294,274 45.63/12.03 259 -> 280* 45.63/12.03 261 -> 73* 45.63/12.03 279 -> 73* 45.63/12.03 283 -> 73* 45.63/12.03 299 -> 73* 45.63/12.03 305 -> 298* 45.63/12.03 problem: 45.63/12.03 45.63/12.03 Qed 45.63/12.04 EOF