12.91/3.64 YES 12.91/3.65 12.91/3.65 Problem: 12.91/3.65 0(1(1(x1))) -> 1(0(2(1(x1)))) 12.91/3.65 0(1(1(x1))) -> 1(1(0(3(2(x1))))) 12.91/3.65 0(1(1(x1))) -> 1(4(0(0(2(1(x1)))))) 12.91/3.65 0(1(4(x1))) -> 1(4(0(3(x1)))) 12.91/3.65 0(1(4(x1))) -> 4(0(2(1(x1)))) 12.91/3.65 0(1(4(x1))) -> 4(0(2(1(3(x1))))) 12.91/3.65 0(4(1(x1))) -> 0(2(4(1(x1)))) 12.91/3.65 0(4(1(x1))) -> 4(0(2(1(x1)))) 12.91/3.65 0(4(1(x1))) -> 4(0(3(1(x1)))) 12.91/3.65 0(4(1(x1))) -> 1(4(4(0(2(x1))))) 12.91/3.65 0(4(1(x1))) -> 2(1(4(0(2(x1))))) 12.91/3.65 0(5(4(x1))) -> 1(4(0(0(2(5(x1)))))) 12.91/3.65 0(5(4(x1))) -> 4(0(2(5(2(5(x1)))))) 12.91/3.65 0(5(4(x1))) -> 5(0(4(0(3(3(x1)))))) 12.91/3.65 4(2(1(x1))) -> 4(0(2(1(x1)))) 12.91/3.65 4(2(1(x1))) -> 1(2(4(0(2(x1))))) 12.91/3.65 0(1(0(4(x1)))) -> 0(0(2(2(1(4(x1)))))) 12.91/3.65 0(1(1(2(x1)))) -> 5(1(0(2(1(x1))))) 12.91/3.65 0(1(1(3(x1)))) -> 1(1(5(0(3(x1))))) 12.91/3.65 0(1(4(1(x1)))) -> 1(0(2(4(1(x1))))) 12.91/3.65 0(1(4(3(x1)))) -> 1(0(2(4(3(x1))))) 12.91/3.65 0(1(4(3(x1)))) -> 4(0(2(1(3(x1))))) 12.91/3.65 0(4(1(2(x1)))) -> 2(0(3(1(4(x1))))) 12.91/3.65 0(4(2(1(x1)))) -> 0(4(3(0(2(1(x1)))))) 12.91/3.65 0(5(0(4(x1)))) -> 1(5(4(0(0(2(x1)))))) 12.91/3.65 0(5(1(3(x1)))) -> 1(1(5(0(3(x1))))) 12.91/3.65 0(5(1(3(x1)))) -> 5(3(1(0(3(x1))))) 12.91/3.65 0(5(4(1(x1)))) -> 4(1(5(4(0(2(x1)))))) 12.91/3.65 0(5(4(3(x1)))) -> 0(2(5(0(3(4(x1)))))) 12.91/3.65 0(5(4(3(x1)))) -> 1(5(3(4(0(3(x1)))))) 12.91/3.65 1(0(5(4(x1)))) -> 1(4(5(0(3(3(x1)))))) 12.91/3.65 1(0(5(4(x1)))) -> 5(5(1(0(2(4(x1)))))) 12.91/3.65 1(4(2(1(x1)))) -> 4(0(2(1(2(1(x1)))))) 12.91/3.65 4(1(2(1(x1)))) -> 4(1(0(2(1(x1))))) 12.91/3.65 4(1(2(1(x1)))) -> 3(4(0(2(1(1(x1)))))) 12.91/3.65 4(3(2(1(x1)))) -> 0(3(4(0(2(1(x1)))))) 12.91/3.65 0(0(1(2(3(x1))))) -> 1(0(3(0(0(2(x1)))))) 12.91/3.65 0(0(5(1(2(x1))))) -> 0(0(2(5(0(1(x1)))))) 12.91/3.65 0(0(5(1(3(x1))))) -> 4(5(0(0(3(1(x1)))))) 12.91/3.65 0(1(3(4(2(x1))))) -> 1(3(4(3(0(2(x1)))))) 12.91/3.65 0(4(5(3(4(x1))))) -> 0(3(2(5(4(4(x1)))))) 12.91/3.65 0(5(0(2(2(x1))))) -> 0(0(2(5(2(4(x1)))))) 12.91/3.65 0(5(1(1(3(x1))))) -> 0(3(2(1(1(5(x1)))))) 12.91/3.65 0(5(1(4(3(x1))))) -> 3(0(2(1(5(4(x1)))))) 12.91/3.65 0(5(5(1(2(x1))))) -> 1(5(3(0(2(5(x1)))))) 12.91/3.65 1(0(1(2(4(x1))))) -> 1(1(0(2(3(4(x1)))))) 12.91/3.65 1(4(2(1(2(x1))))) -> 0(2(2(1(1(4(x1)))))) 12.91/3.65 4(0(0(5(4(x1))))) -> 5(0(0(4(4(5(x1)))))) 12.91/3.65 4(2(5(4(1(x1))))) -> 4(4(1(5(3(2(x1)))))) 12.91/3.65 12.91/3.65 Proof: 12.91/3.65 Bounds Processor: 12.91/3.65 bound: 1 12.91/3.65 enrichment: match 12.91/3.65 automaton: 12.91/3.65 final states: {161,156,152,148,145,140,135,131,126,122,119,114,111, 12.91/3.65 109,104,103,99,94,91,88,83,80,77,73,70,67,63,62,59, 12.91/3.65 58,52,50,45,41,35,33,29,26,23,19,18,14,11,6,1} 12.91/3.65 transitions: 12.91/3.65 41(167) -> 168* 12.91/3.65 41(183) -> 184* 12.91/3.65 01(207) -> 208* 12.91/3.65 01(182) -> 183* 12.91/3.65 01(204) -> 205* 12.91/3.65 01(191) -> 192* 12.91/3.65 01(166) -> 167* 12.91/3.65 21(202) -> 203* 12.91/3.65 21(181) -> 182* 12.91/3.65 21(190) -> 191* 12.91/3.65 11(189) -> 190* 12.91/3.65 11(168) -> 169* 12.91/3.65 11(205) -> 206* 12.91/3.65 11(185) -> 186* 12.91/3.65 11(180) -> 181* 12.91/3.65 31(203) -> 204* 12.91/3.65 31(165) -> 166* 12.91/3.65 f60() -> 2* 12.91/3.65 10(60) -> 61* 12.91/3.65 10(40) -> 35* 12.91/3.65 10(15) -> 20* 12.91/3.65 10(10) -> 6* 12.91/3.65 10(5) -> 1* 12.91/3.65 10(162) -> 163* 12.91/3.65 10(147) -> 145* 12.91/3.65 10(32) -> 29* 12.91/3.65 10(17) -> 14* 12.91/3.65 10(2) -> 3* 12.91/3.65 10(54) -> 153* 12.91/3.65 10(9) -> 10* 12.91/3.65 10(4) -> 100* 12.91/3.65 10(151) -> 148* 12.91/3.65 10(141) -> 142* 12.91/3.65 10(136) -> 137* 12.91/3.65 10(96) -> 97* 12.91/3.65 10(81) -> 82* 12.91/3.65 10(76) -> 73* 12.91/3.65 10(66) -> 63* 12.91/3.65 10(61) -> 59* 12.91/3.65 10(51) -> 50* 12.91/3.65 10(36) -> 136* 12.91/3.65 10(31) -> 34* 12.91/3.65 10(16) -> 78* 12.91/3.65 10(113) -> 111* 12.91/3.65 10(93) -> 91* 12.91/3.65 10(53) -> 54* 12.91/3.65 10(23) -> 62* 12.91/3.65 10(13) -> 11* 12.91/3.65 10(3) -> 105* 12.91/3.65 10(150) -> 151* 12.91/3.65 10(125) -> 122* 12.91/3.65 10(90) -> 88* 12.91/3.65 00(65) -> 66* 12.91/3.65 00(30) -> 74* 12.91/3.65 00(25) -> 23* 12.91/3.65 00(15) -> 16* 12.91/3.65 00(5) -> 12* 12.91/3.65 00(117) -> 118* 12.91/3.65 00(112) -> 113* 12.91/3.65 00(87) -> 83* 12.91/3.65 00(72) -> 70* 12.91/3.65 00(57) -> 52* 12.91/3.65 00(37) -> 38* 12.91/3.65 00(27) -> 28* 12.91/3.65 00(7) -> 30* 12.91/3.65 00(159) -> 160* 12.91/3.65 00(149) -> 150* 12.91/3.65 00(139) -> 135* 12.91/3.65 00(134) -> 131* 12.91/3.65 00(84) -> 85* 12.91/3.65 00(4) -> 5* 12.91/3.65 00(106) -> 107* 12.91/3.65 00(101) -> 102* 12.91/3.65 00(56) -> 57* 12.91/3.65 00(46) -> 47* 12.91/3.65 00(21) -> 22* 12.91/3.65 00(158) -> 159* 12.91/3.65 00(143) -> 144* 12.91/3.65 00(133) -> 134* 12.91/3.65 00(118) -> 114* 12.91/3.65 00(68) -> 69* 12.91/3.65 00(48) -> 49* 12.91/3.65 00(43) -> 44* 12.91/3.65 00(38) -> 39* 12.91/3.65 00(28) -> 120* 12.91/3.65 00(8) -> 9* 12.91/3.65 00(3) -> 115* 12.91/3.65 00(155) -> 152* 12.91/3.65 00(130) -> 126* 12.91/3.65 00(110) -> 109* 12.91/3.65 00(95) -> 96* 12.91/3.65 20(55) -> 56* 12.91/3.65 20(20) -> 21* 12.91/3.65 20(142) -> 143* 12.91/3.65 20(137) -> 138* 12.91/3.65 20(132) -> 133* 12.91/3.65 20(42) -> 43* 12.91/3.65 20(2) -> 7* 12.91/3.65 20(154) -> 155* 12.91/3.65 20(84) -> 149* 12.91/3.65 20(69) -> 67* 12.91/3.65 20(64) -> 65* 12.91/3.65 20(54) -> 55* 12.91/3.65 20(34) -> 33* 12.91/3.65 20(24) -> 25* 12.91/3.65 20(116) -> 117* 12.91/3.65 20(86) -> 87* 12.91/3.65 20(36) -> 37* 12.91/3.65 20(31) -> 51* 12.91/3.65 20(153) -> 154* 12.91/3.65 20(128) -> 129* 12.91/3.65 20(53) -> 95* 12.91/3.65 20(3) -> 4* 12.91/3.65 20(105) -> 106* 12.91/3.65 20(100) -> 101* 12.91/3.65 30(30) -> 123* 12.91/3.65 30(15) -> 46* 12.91/3.65 30(5) -> 71* 12.91/3.65 30(17) -> 89* 12.91/3.65 30(7) -> 8* 12.91/3.65 30(2) -> 15* 12.91/3.65 30(144) -> 140* 12.91/3.65 30(129) -> 130* 12.91/3.65 30(124) -> 125* 12.91/3.65 30(74) -> 112* 12.91/3.65 30(54) -> 68* 12.91/3.65 30(138) -> 139* 12.91/3.65 30(108) -> 104* 12.91/3.65 30(78) -> 79* 12.91/3.65 30(53) -> 84* 12.91/3.65 30(38) -> 146* 12.91/3.65 30(18) -> 110* 12.91/3.65 30(3) -> 27* 12.91/3.65 40(30) -> 31* 12.91/3.65 40(15) -> 64* 12.91/3.65 40(5) -> 18* 12.91/3.65 40(157) -> 158* 12.91/3.65 40(107) -> 108* 12.91/3.65 40(102) -> 99* 12.91/3.65 40(92) -> 93* 12.91/3.65 40(82) -> 80* 12.91/3.65 40(47) -> 48* 12.91/3.65 40(22) -> 19* 12.91/3.65 40(12) -> 13* 12.91/3.65 40(2) -> 53* 12.91/3.65 40(164) -> 161* 12.91/3.65 40(74) -> 75* 12.91/3.65 40(44) -> 41* 12.91/3.65 40(39) -> 40* 12.91/3.65 40(121) -> 119* 12.91/3.65 40(71) -> 72* 12.91/3.65 40(36) -> 157* 12.91/3.65 40(31) -> 32* 12.91/3.65 40(16) -> 17* 12.91/3.65 40(1) -> 103* 12.91/3.65 40(163) -> 164* 12.91/3.65 40(123) -> 124* 12.91/3.65 40(53) -> 127* 12.91/3.65 40(28) -> 26* 12.91/3.65 40(3) -> 24* 12.91/3.65 50(75) -> 76* 12.91/3.65 50(127) -> 128* 12.91/3.65 50(97) -> 98* 12.91/3.65 50(47) -> 92* 12.91/3.65 50(37) -> 42* 12.91/3.65 50(2) -> 36* 12.91/3.65 50(89) -> 90* 12.91/3.65 50(79) -> 77* 12.91/3.65 50(49) -> 45* 12.91/3.65 50(146) -> 147* 12.91/3.65 50(31) -> 81* 12.91/3.65 50(16) -> 60* 12.91/3.65 50(1) -> 58* 12.91/3.65 50(98) -> 94* 12.91/3.65 50(53) -> 141* 12.91/3.65 50(8) -> 162* 12.91/3.65 50(160) -> 156* 12.91/3.65 50(120) -> 121* 12.91/3.65 50(115) -> 116* 12.91/3.65 50(95) -> 132* 12.91/3.65 50(85) -> 86* 12.91/3.65 1 -> 115* 12.91/3.65 6 -> 115* 12.91/3.65 11 -> 115* 12.91/3.65 14 -> 115* 12.91/3.65 18 -> 53,115 12.91/3.65 19 -> 115* 12.91/3.65 50 -> 53* 12.91/3.65 52 -> 115* 12.91/3.65 58 -> 115* 12.91/3.65 59 -> 115* 12.91/3.65 62 -> 115* 12.91/3.65 63 -> 115* 12.91/3.65 85 -> 53,64 12.91/3.65 91 -> 3* 12.91/3.65 92 -> 180,165 12.91/3.65 94 -> 3* 12.91/3.65 99 -> 3,54 12.91/3.65 103 -> 53,24 12.91/3.65 104 -> 53,24 12.91/3.65 122 -> 115* 12.91/3.65 148 -> 3* 12.91/3.65 150 -> 202,189 12.91/3.65 152 -> 3,54 12.91/3.65 156 -> 53* 12.91/3.65 161 -> 53* 12.91/3.65 166 -> 185* 12.91/3.65 169 -> 115* 12.91/3.65 184 -> 115* 12.91/3.65 186 -> 181* 12.91/3.65 192 -> 207,168 12.91/3.65 206 -> 168* 12.91/3.65 208 -> 167* 12.91/3.65 problem: 12.91/3.65 12.91/3.65 Qed 12.91/3.66 EOF