28.45/7.67 YES 28.45/7.68 28.45/7.68 Problem: 28.45/7.68 0(1(2(x1))) -> 0(0(2(1(x1)))) 28.45/7.68 0(1(2(x1))) -> 0(2(1(3(x1)))) 28.45/7.68 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 28.45/7.68 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 28.45/7.68 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 28.45/7.68 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 28.45/7.68 0(3(2(x1))) -> 0(2(1(3(x1)))) 28.45/7.68 0(3(2(x1))) -> 0(2(3(4(x1)))) 28.45/7.68 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 28.45/7.68 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 28.45/7.68 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 28.45/7.68 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 28.45/7.68 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 28.45/7.68 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 28.45/7.68 0(4(1(x1))) -> 0(1(4(4(x1)))) 28.45/7.68 0(4(1(x1))) -> 0(2(1(4(x1)))) 28.45/7.68 0(4(2(x1))) -> 0(2(1(4(x1)))) 28.45/7.68 0(4(2(x1))) -> 0(2(3(4(x1)))) 28.45/7.68 0(4(2(x1))) -> 0(2(4(3(x1)))) 28.45/7.68 2(0(1(x1))) -> 5(0(2(1(x1)))) 28.45/7.68 2(3(1(x1))) -> 1(3(5(2(x1)))) 28.45/7.68 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 28.45/7.68 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 28.45/7.68 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 28.45/7.68 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 28.45/7.68 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 28.45/7.68 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 28.45/7.68 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 28.45/7.68 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 28.45/7.68 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 28.45/7.68 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 28.45/7.68 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 28.45/7.68 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 28.45/7.68 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 28.45/7.68 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 28.45/7.68 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 28.45/7.68 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 28.45/7.68 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 28.45/7.68 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 28.45/7.68 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 28.45/7.68 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 28.45/7.68 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 28.45/7.68 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 28.45/7.68 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 28.45/7.68 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 28.45/7.68 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 28.45/7.68 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 28.45/7.68 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 28.45/7.68 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) 28.45/7.68 28.45/7.68 Proof: 28.45/7.68 Bounds Processor: 28.45/7.68 bound: 1 28.45/7.68 enrichment: match 28.45/7.68 automaton: 28.45/7.68 final states: {165,160,156,153,150,146,141,136,132,127,122,121,117, 28.45/7.68 114,110,108,105,101,98,93,88,84,79,75,71,70,68,64,60, 28.45/7.68 59,34,56,55,52,46,42,38,35,31,28,24,21,16,10,6,1} 28.45/7.68 transitions: 28.45/7.68 11(242) -> 243* 28.45/7.68 11(234) -> 235* 28.45/7.68 11(219) -> 220* 28.45/7.68 11(246) -> 247* 28.45/7.68 11(236) -> 237* 28.45/7.68 11(226) -> 227* 28.45/7.68 11(206) -> 207* 28.45/7.68 11(191) -> 192* 28.45/7.68 11(248) -> 249* 28.45/7.68 11(183) -> 184* 28.45/7.68 11(168) -> 169* 28.45/7.68 11(230) -> 231* 28.45/7.68 41(210) -> 211* 28.45/7.68 31(205) -> 206* 28.45/7.68 31(190) -> 191* 28.45/7.68 51(222) -> 223* 28.45/7.68 51(204) -> 205* 28.45/7.68 51(189) -> 190* 28.45/7.68 51(186) -> 187* 28.45/7.68 51(171) -> 172* 28.45/7.68 21(207) -> 208* 28.45/7.68 21(184) -> 185* 28.45/7.68 21(169) -> 170* 28.45/7.68 21(188) -> 189* 28.45/7.68 21(220) -> 221* 28.45/7.68 01(221) -> 222* 28.45/7.68 01(208) -> 209* 28.45/7.68 01(185) -> 186* 28.45/7.68 01(170) -> 171* 28.45/7.68 f60() -> 2* 28.45/7.68 00(60) -> 109* 28.45/7.68 00(45) -> 42* 28.45/7.68 00(30) -> 28* 28.45/7.68 00(20) -> 16* 28.45/7.68 00(15) -> 10* 28.45/7.68 00(5) -> 1* 28.45/7.68 00(157) -> 158* 28.45/7.68 00(152) -> 150* 28.45/7.68 00(112) -> 113* 28.45/7.68 00(107) -> 105* 28.45/7.68 00(97) -> 93* 28.45/7.68 00(77) -> 78* 28.45/7.68 00(72) -> 154* 28.45/7.68 00(67) -> 64* 28.45/7.68 00(47) -> 128* 28.45/7.68 00(37) -> 35* 28.45/7.68 00(17) -> 89* 28.45/7.68 00(2) -> 17* 28.45/7.68 00(149) -> 146* 28.45/7.68 00(109) -> 121* 28.45/7.68 00(104) -> 101* 28.45/7.68 00(74) -> 71* 28.45/7.68 00(34) -> 31* 28.45/7.68 00(14) -> 15* 28.45/7.68 00(9) -> 6* 28.45/7.68 00(4) -> 5* 28.45/7.68 00(126) -> 122* 28.45/7.68 00(51) -> 46* 28.45/7.68 00(41) -> 38* 28.45/7.68 00(163) -> 164* 28.45/7.68 00(128) -> 129* 28.45/7.68 00(78) -> 75* 28.45/7.68 00(58) -> 56* 28.45/7.68 00(33) -> 34* 28.45/7.68 00(23) -> 21* 28.45/7.68 00(13) -> 55* 28.45/7.68 00(145) -> 141* 28.45/7.68 00(140) -> 136* 28.45/7.68 00(135) -> 132* 28.45/7.68 00(120) -> 117* 28.45/7.68 00(100) -> 98* 28.45/7.68 00(85) -> 86* 28.45/7.68 00(80) -> 81* 28.45/7.68 20(50) -> 51* 28.45/7.68 20(40) -> 41* 28.45/7.68 20(162) -> 163* 28.45/7.68 20(142) -> 143* 28.45/7.68 20(92) -> 88* 28.45/7.68 20(72) -> 166* 28.45/7.68 20(62) -> 157* 28.45/7.68 20(57) -> 58* 28.45/7.68 20(47) -> 85* 28.45/7.68 20(32) -> 33* 28.45/7.68 20(17) -> 123* 28.45/7.68 20(2) -> 61* 28.45/7.68 20(164) -> 160* 28.45/7.68 20(144) -> 145* 28.45/7.68 20(139) -> 140* 28.45/7.68 20(134) -> 135* 28.45/7.68 20(119) -> 120* 28.45/7.68 20(109) -> 108* 28.45/7.68 20(54) -> 52* 28.45/7.68 20(44) -> 45* 28.45/7.68 20(39) -> 115* 28.45/7.68 20(29) -> 30* 28.45/7.68 20(151) -> 152* 28.45/7.68 20(131) -> 127* 28.45/7.68 20(116) -> 114* 28.45/7.68 20(106) -> 107* 28.45/7.68 20(66) -> 67* 28.45/7.68 20(61) -> 80* 28.45/7.68 20(36) -> 37* 28.45/7.68 20(11) -> 118* 28.45/7.68 20(113) -> 110* 28.45/7.68 20(103) -> 104* 28.45/7.68 20(13) -> 14* 28.45/7.68 20(8) -> 9* 28.45/7.68 20(3) -> 4* 28.45/7.68 20(155) -> 153* 28.45/7.68 10(65) -> 66* 28.45/7.68 10(137) -> 138* 28.45/7.68 10(87) -> 84* 28.45/7.68 10(47) -> 137* 28.45/7.68 10(32) -> 36* 28.45/7.68 10(27) -> 24* 28.45/7.68 10(22) -> 23* 28.45/7.68 10(12) -> 13* 28.45/7.68 10(7) -> 8* 28.45/7.68 10(2) -> 3* 28.45/7.68 10(159) -> 156* 28.45/7.68 10(154) -> 155* 28.45/7.68 10(129) -> 130* 28.45/7.68 10(99) -> 100* 28.45/7.68 10(69) -> 68* 28.45/7.68 10(39) -> 133* 28.45/7.68 10(29) -> 72* 28.45/7.68 10(19) -> 20* 28.45/7.68 10(161) -> 162* 28.45/7.68 10(111) -> 112* 28.45/7.68 10(96) -> 97* 28.45/7.68 10(61) -> 142* 28.45/7.68 10(11) -> 57* 28.45/7.68 10(148) -> 149* 28.45/7.68 10(83) -> 79* 28.45/7.68 10(73) -> 74* 28.45/7.68 10(63) -> 60* 28.45/7.68 10(43) -> 44* 28.45/7.68 10(125) -> 126* 28.45/7.68 30(147) -> 148* 28.45/7.68 30(82) -> 83* 28.45/7.68 30(62) -> 63* 28.45/7.68 30(47) -> 65* 28.45/7.68 30(12) -> 22* 28.45/7.68 30(7) -> 39* 28.45/7.68 30(2) -> 7* 28.45/7.68 30(94) -> 95* 28.45/7.68 30(49) -> 50* 28.45/7.68 30(29) -> 43* 28.45/7.68 30(91) -> 92* 28.45/7.68 30(76) -> 77* 28.45/7.68 30(26) -> 27* 28.45/7.68 30(11) -> 29* 28.45/7.68 30(158) -> 159* 28.45/7.68 30(123) -> 124* 28.45/7.68 30(18) -> 19* 28.45/7.68 30(130) -> 131* 28.45/7.68 40(25) -> 26* 28.45/7.68 40(102) -> 103* 28.45/7.68 40(72) -> 73* 28.45/7.68 40(47) -> 111* 28.45/7.68 40(17) -> 18* 28.45/7.68 40(7) -> 32* 28.45/7.68 40(2) -> 11* 28.45/7.68 40(124) -> 125* 28.45/7.68 40(89) -> 90* 28.45/7.68 40(39) -> 40* 28.45/7.68 40(19) -> 53* 28.45/7.68 40(4) -> 76* 28.45/7.68 40(86) -> 87* 28.45/7.68 40(81) -> 82* 28.45/7.68 40(11) -> 12* 28.45/7.68 40(138) -> 139* 28.45/7.68 40(63) -> 69* 28.45/7.68 40(53) -> 54* 28.45/7.68 40(48) -> 49* 28.45/7.68 40(18) -> 25* 28.45/7.68 40(95) -> 96* 28.45/7.68 40(90) -> 91* 28.45/7.68 40(85) -> 147* 28.45/7.68 50(5) -> 59* 28.45/7.68 50(167) -> 165* 28.45/7.68 50(47) -> 48* 28.45/7.68 50(7) -> 102* 28.45/7.68 50(2) -> 47* 28.45/7.68 50(39) -> 106* 28.45/7.68 50(19) -> 99* 28.45/7.68 50(166) -> 167* 28.45/7.68 50(66) -> 151* 28.45/7.68 50(61) -> 62* 28.45/7.68 50(11) -> 94* 28.45/7.68 50(1) -> 70* 28.45/7.68 50(143) -> 144* 28.45/7.68 50(133) -> 134* 28.45/7.68 50(118) -> 119* 28.45/7.68 50(3) -> 161* 28.45/7.68 50(115) -> 116* 28.45/7.68 1 -> 17* 28.45/7.68 6 -> 17* 28.45/7.68 10 -> 17* 28.45/7.68 12 -> 230* 28.45/7.68 16 -> 17* 28.45/7.68 19 -> 219* 28.45/7.68 21 -> 17* 28.45/7.68 22 -> 226* 28.45/7.68 24 -> 17* 28.45/7.68 28 -> 17* 28.45/7.68 31 -> 17* 28.45/7.68 34 -> 17* 28.45/7.68 35 -> 17* 28.45/7.68 38 -> 17* 28.45/7.68 42 -> 17* 28.45/7.68 46 -> 17* 28.45/7.68 52 -> 17* 28.45/7.68 55 -> 17* 28.45/7.68 56 -> 17* 28.45/7.68 59 -> 61,123 28.45/7.68 60 -> 61* 28.45/7.68 63 -> 183* 28.45/7.68 64 -> 61* 28.45/7.68 68 -> 61* 28.45/7.68 70 -> 17* 28.45/7.68 71 -> 17* 28.45/7.68 73 -> 234* 28.45/7.68 75 -> 17* 28.45/7.68 79 -> 17* 28.45/7.68 84 -> 17* 28.45/7.68 88 -> 17* 28.45/7.68 93 -> 17,128 28.45/7.68 96 -> 236* 28.45/7.68 98 -> 17,128 28.45/7.68 99 -> 242* 28.45/7.68 101 -> 17,128 28.45/7.68 105 -> 17,128 28.45/7.68 108 -> 61,123 28.45/7.68 110 -> 61,123 28.45/7.68 111 -> 168* 28.45/7.68 114 -> 61,85 28.45/7.68 117 -> 61,85 28.45/7.68 121 -> 17,89 28.45/7.68 122 -> 17* 28.45/7.68 125 -> 246* 28.45/7.68 127 -> 17* 28.45/7.68 129 -> 204,188 28.45/7.68 132 -> 17* 28.45/7.68 136 -> 17,128 28.45/7.68 141 -> 17,128 28.45/7.68 146 -> 17,128 28.45/7.68 148 -> 248* 28.45/7.68 150 -> 17,128 28.45/7.68 153 -> 61,123 28.45/7.68 156 -> 61,80 28.45/7.68 160 -> 61,80 28.45/7.68 165 -> 61,85 28.45/7.68 172 -> 110* 28.45/7.68 187 -> 108* 28.45/7.68 191 -> 210* 28.45/7.68 192 -> 127* 28.45/7.68 209 -> 127* 28.45/7.68 211 -> 191* 28.45/7.68 223 -> 123* 28.45/7.68 227 -> 220* 28.45/7.68 231 -> 220* 28.45/7.68 235 -> 220* 28.45/7.68 237 -> 220* 28.45/7.68 243 -> 220* 28.45/7.68 247 -> 169* 28.45/7.68 249 -> 169* 28.45/7.68 problem: 28.45/7.68 28.45/7.68 Qed 28.45/7.69 EOF