17.67/4.59 YES 17.67/4.60 17.67/4.60 Problem: 17.67/4.60 0(0(1(0(x1)))) -> 0(2(0(0(3(1(x1)))))) 17.67/4.60 0(0(1(0(x1)))) -> 0(2(0(4(1(0(x1)))))) 17.67/4.60 0(0(1(0(x1)))) -> 2(0(0(0(2(1(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 0(2(3(1(0(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(0(0(2(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(1(0(0(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(2(0(0(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(5(0(0(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(5(1(0(0(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 5(0(3(1(0(x1))))) 17.67/4.60 3(0(1(0(x1)))) -> 2(0(2(3(1(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 2(2(0(3(1(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(5(0(0(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(5(0(2(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(5(1(0(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(5(2(0(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(1(5(5(0(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(2(2(1(0(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(5(1(0(0(2(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 3(5(1(5(0(0(x1)))))) 17.67/4.60 3(0(1(0(x1)))) -> 5(1(1(3(0(0(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(2(4(0(x1))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(4(0(2(x1))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(5(4(0(x1))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(4(2(1(0(x1))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(1(5(4(0(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(2(1(4(0(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(2(5(4(0(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(4(2(0(2(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(5(4(0(2(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(1(5(5(4(0(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(4(2(1(1(0(x1)))))) 17.67/4.60 3(4(1(0(x1)))) -> 3(4(5(1(2(0(x1)))))) 17.67/4.60 0(1(4(1(0(x1))))) -> 0(1(1(4(0(2(x1)))))) 17.67/4.60 0(2(0(1(0(x1))))) -> 0(2(0(0(3(1(x1)))))) 17.67/4.60 0(2(0(1(0(x1))))) -> 2(0(0(0(3(1(x1)))))) 17.67/4.60 0(3(0(1(0(x1))))) -> 0(0(3(1(3(0(x1)))))) 17.67/4.60 0(3(0(1(0(x1))))) -> 0(0(3(3(1(0(x1)))))) 17.67/4.60 0(3(0(1(0(x1))))) -> 0(0(3(5(1(0(x1)))))) 17.67/4.60 0(3(0(1(0(x1))))) -> 2(0(0(3(1(0(x1)))))) 17.67/4.60 0(3(4(1(0(x1))))) -> 0(2(0(4(3(1(x1)))))) 17.67/4.60 0(5(0(1(0(x1))))) -> 0(0(0(1(5(2(x1)))))) 17.67/4.60 0(5(0(1(0(x1))))) -> 0(0(1(5(1(0(x1)))))) 17.67/4.60 0(5(0(1(0(x1))))) -> 0(2(0(0(1(5(x1)))))) 17.67/4.60 3(0(1(0(0(x1))))) -> 3(1(3(0(0(0(x1)))))) 17.67/4.60 3(0(1(1(0(x1))))) -> 3(1(0(1(2(0(x1)))))) 17.67/4.60 3(0(2(1(0(x1))))) -> 2(0(3(1(1(0(x1)))))) 17.67/4.60 3(0(2(1(0(x1))))) -> 2(3(1(5(0(0(x1)))))) 17.67/4.60 3(0(2(1(0(x1))))) -> 3(1(2(0(1(0(x1)))))) 17.67/4.60 3(0(2(1(0(x1))))) -> 3(1(2(0(5(0(x1)))))) 17.67/4.60 3(0(5(1(0(x1))))) -> 3(1(5(2(0(0(x1)))))) 17.67/4.60 3(1(0(1(0(x1))))) -> 2(0(3(1(1(0(x1)))))) 17.67/4.60 3(1(0(1(0(x1))))) -> 3(1(1(1(0(0(x1)))))) 17.67/4.60 3(1(0(1(0(x1))))) -> 3(1(2(1(0(0(x1)))))) 17.67/4.60 3(1(4(1(0(x1))))) -> 3(1(2(1(4(0(x1)))))) 17.67/4.60 3(1(4(1(0(x1))))) -> 3(1(5(1(4(0(x1)))))) 17.67/4.60 3(2(0(1(0(x1))))) -> 0(2(3(1(5(0(x1)))))) 17.67/4.60 3(2(0(1(0(x1))))) -> 2(0(3(1(1(0(x1)))))) 17.67/4.60 3(3(0(1(0(x1))))) -> 3(1(2(0(3(0(x1)))))) 17.67/4.60 3(3(0(1(0(x1))))) -> 3(1(2(3(0(0(x1)))))) 17.67/4.60 3(3(4(1(0(x1))))) -> 3(1(2(4(3(0(x1)))))) 17.67/4.60 3(3(4(1(0(x1))))) -> 3(1(3(4(0(2(x1)))))) 17.67/4.60 3(3(4(1(0(x1))))) -> 3(1(4(3(1(0(x1)))))) 17.67/4.60 3(4(0(1(0(x1))))) -> 0(2(4(1(3(0(x1)))))) 17.67/4.60 3(4(0(1(0(x1))))) -> 3(1(4(0(0(2(x1)))))) 17.67/4.60 3(4(0(1(0(x1))))) -> 3(2(0(4(1(0(x1)))))) 17.67/4.60 3(4(4(1(0(x1))))) -> 3(1(1(4(4(0(x1)))))) 17.67/4.60 17.67/4.60 Proof: 17.67/4.60 Bounds Processor: 17.67/4.60 bound: 0 17.67/4.60 enrichment: match 17.67/4.60 automaton: 17.67/4.60 final states: {202,201,198,195,192,189,185,182,178,174,171,169,167, 17.67/4.60 162,158,157,154,151,148,142,139,134,130,128,124,121, 17.67/4.60 116,114,112,108,104,101,98,94,91,87,85,82,79,76,72, 17.67/4.60 68,66,64,61,58,55,53,48,44,42,41,39,37,34,31,27,22, 17.67/4.60 19,14,8,1} 17.67/4.60 transitions: 17.67/4.60 f60() -> 2* 17.67/4.60 00(40) -> 129* 17.67/4.60 00(20) -> 40* 17.67/4.60 00(15) -> 16* 17.67/4.60 00(10) -> 159* 17.67/4.60 00(5) -> 6* 17.67/4.60 00(197) -> 195* 17.67/4.60 00(177) -> 174* 17.67/4.60 00(147) -> 142* 17.67/4.60 00(137) -> 138* 17.67/4.60 00(127) -> 124* 17.67/4.60 00(122) -> 123* 17.67/4.60 00(117) -> 179* 17.67/4.60 00(17) -> 18* 17.67/4.60 00(7) -> 1* 17.67/4.60 00(2) -> 9* 17.67/4.60 00(144) -> 145* 17.67/4.60 00(119) -> 120* 17.67/4.60 00(109) -> 152* 17.67/4.60 00(49) -> 50* 17.67/4.60 00(24) -> 25* 17.67/4.60 00(9) -> 28* 17.67/4.60 00(4) -> 5* 17.67/4.60 00(141) -> 139* 17.67/4.60 00(136) -> 137* 17.67/4.60 00(131) -> 132* 17.67/4.60 00(126) -> 127* 17.67/4.60 00(21) -> 19* 17.67/4.60 00(16) -> 17* 17.67/4.60 00(11) -> 12* 17.67/4.60 00(6) -> 115* 17.67/4.60 00(163) -> 164* 17.67/4.60 00(138) -> 134* 17.67/4.60 00(133) -> 130* 17.67/4.60 00(123) -> 121* 17.67/4.60 00(113) -> 112* 17.67/4.60 00(28) -> 45* 17.67/4.60 00(23) -> 24* 17.67/4.60 00(13) -> 8* 17.67/4.60 00(155) -> 156* 17.67/4.60 00(145) -> 146* 17.67/4.60 00(140) -> 141* 17.67/4.60 00(120) -> 116* 17.67/4.60 20(40) -> 43* 17.67/4.60 20(20) -> 21* 17.67/4.60 20(10) -> 83* 17.67/4.60 20(132) -> 133* 17.67/4.60 20(62) -> 63* 17.67/4.60 20(12) -> 13* 17.67/4.60 20(2) -> 23* 17.67/4.60 20(179) -> 180* 17.67/4.60 20(164) -> 165* 17.67/4.60 20(159) -> 160* 17.67/4.60 20(129) -> 128* 17.67/4.60 20(69) -> 183* 17.67/4.60 20(34) -> 157* 17.67/4.60 20(29) -> 62* 17.67/4.60 20(24) -> 95* 17.67/4.60 20(19) -> 41* 17.67/4.60 20(9) -> 49* 17.67/4.60 20(196) -> 197* 17.67/4.60 20(186) -> 187* 17.67/4.60 20(176) -> 177* 17.67/4.60 20(156) -> 154* 17.67/4.60 20(146) -> 147* 17.67/4.60 20(6) -> 7* 17.67/4.60 20(88) -> 89* 17.67/4.60 20(73) -> 74* 17.67/4.60 20(43) -> 42* 17.67/4.60 20(28) -> 32* 17.67/4.60 20(18) -> 14* 17.67/4.60 20(3) -> 15* 17.67/4.60 20(115) -> 114* 17.67/4.60 20(105) -> 106* 17.67/4.60 20(80) -> 92* 17.67/4.60 30(75) -> 72* 17.67/4.60 30(65) -> 64* 17.67/4.60 30(60) -> 58* 17.67/4.60 30(45) -> 149* 17.67/4.60 30(30) -> 27* 17.67/4.60 30(20) -> 122* 17.67/4.60 30(10) -> 20* 17.67/4.60 30(107) -> 104* 17.67/4.60 30(97) -> 94* 17.67/4.60 30(77) -> 190* 17.67/4.60 30(67) -> 66* 17.67/4.60 30(57) -> 55* 17.67/4.60 30(52) -> 48* 17.67/4.60 30(47) -> 44* 17.67/4.60 30(194) -> 192* 17.67/4.60 30(184) -> 182* 17.67/4.60 30(84) -> 82* 17.67/4.60 30(54) -> 53* 17.67/4.60 30(9) -> 117* 17.67/4.60 30(191) -> 189* 17.67/4.60 30(181) -> 178* 17.67/4.60 30(166) -> 162* 17.67/4.60 30(161) -> 158* 17.67/4.60 30(111) -> 108* 17.67/4.60 30(86) -> 85* 17.67/4.60 30(81) -> 79* 17.67/4.60 30(36) -> 34* 17.67/4.60 30(26) -> 22* 17.67/4.60 30(188) -> 185* 17.67/4.60 30(173) -> 171* 17.67/4.60 30(168) -> 167* 17.67/4.60 30(153) -> 151* 17.67/4.60 30(118) -> 119* 17.67/4.60 30(103) -> 101* 17.67/4.60 30(93) -> 91* 17.67/4.60 30(78) -> 76* 17.67/4.60 30(63) -> 61* 17.67/4.60 30(38) -> 37* 17.67/4.60 30(33) -> 31* 17.67/4.60 30(28) -> 69* 17.67/4.60 30(13) -> 201* 17.67/4.60 30(205) -> 202* 17.67/4.60 30(3) -> 4* 17.67/4.60 30(200) -> 198* 17.67/4.60 30(175) -> 176* 17.67/4.60 30(170) -> 169* 17.67/4.60 30(150) -> 148* 17.67/4.60 30(125) -> 126* 17.67/4.60 30(105) -> 155* 17.67/4.60 30(100) -> 98* 17.67/4.60 30(90) -> 87* 17.67/4.60 10(80) -> 81* 17.67/4.60 10(70) -> 71* 17.67/4.60 10(35) -> 36* 17.67/4.60 10(30) -> 168* 17.67/4.60 10(25) -> 26* 17.67/4.60 10(10) -> 105* 17.67/4.60 10(187) -> 188* 17.67/4.60 10(172) -> 173* 17.67/4.60 10(152) -> 153* 17.67/4.60 10(117) -> 118* 17.67/4.60 10(102) -> 103* 17.67/4.60 10(92) -> 93* 17.67/4.60 10(77) -> 78* 17.67/4.60 10(62) -> 170* 17.67/4.60 10(32) -> 33* 17.67/4.60 10(204) -> 205* 17.67/4.60 10(2) -> 3* 17.67/4.60 10(199) -> 200* 17.67/4.60 10(149) -> 150* 17.67/4.60 10(99) -> 100* 17.67/4.60 10(89) -> 90* 17.67/4.60 10(74) -> 75* 17.67/4.60 10(69) -> 70* 17.67/4.60 10(59) -> 60* 17.67/4.60 10(49) -> 109* 17.67/4.60 10(29) -> 30* 17.67/4.60 10(9) -> 10* 17.67/4.60 10(96) -> 97* 17.67/4.60 10(81) -> 86* 17.67/4.60 10(56) -> 57* 17.67/4.60 10(51) -> 52* 17.67/4.60 10(46) -> 47* 17.67/4.60 10(203) -> 204* 17.67/4.60 10(193) -> 194* 17.67/4.60 10(183) -> 184* 17.67/4.60 10(163) -> 175* 17.67/4.60 10(143) -> 144* 17.67/4.60 10(78) -> 113* 17.67/4.60 10(73) -> 88* 17.67/4.60 10(38) -> 54* 17.67/4.60 10(28) -> 29* 17.67/4.60 10(190) -> 191* 17.67/4.60 10(180) -> 181* 17.67/4.60 10(165) -> 166* 17.67/4.60 10(160) -> 161* 17.67/4.60 10(135) -> 136* 17.67/4.60 10(125) -> 140* 17.67/4.60 40(25) -> 199* 17.67/4.60 40(20) -> 193* 17.67/4.60 40(10) -> 11* 17.67/4.60 40(117) -> 186* 17.67/4.60 40(24) -> 77* 17.67/4.60 40(9) -> 73* 17.67/4.60 40(4) -> 131* 17.67/4.60 40(106) -> 107* 17.67/4.60 40(118) -> 196* 17.67/4.60 40(83) -> 84* 17.67/4.60 40(73) -> 203* 17.67/4.60 40(110) -> 111* 17.67/4.60 40(95) -> 96* 17.67/4.60 50(80) -> 102* 17.67/4.60 50(50) -> 51* 17.67/4.60 50(45) -> 46* 17.67/4.60 50(40) -> 39* 17.67/4.60 50(35) -> 59* 17.67/4.60 50(10) -> 125* 17.67/4.60 50(77) -> 99* 17.67/4.60 50(32) -> 56* 17.67/4.60 50(2) -> 143* 17.67/4.60 50(109) -> 110* 17.67/4.60 50(29) -> 38* 17.67/4.60 50(9) -> 163* 17.67/4.60 50(71) -> 68* 17.67/4.60 50(36) -> 67* 17.67/4.60 50(26) -> 65* 17.67/4.60 50(88) -> 172* 17.67/4.60 50(73) -> 80* 17.67/4.60 50(28) -> 35* 17.67/4.60 50(23) -> 135* 17.67/4.60 1 -> 24,50,9,28 17.67/4.60 8 -> 9,28 17.67/4.60 14 -> 9,28 17.67/4.60 19 -> 117* 17.67/4.60 22 -> 117* 17.67/4.60 27 -> 117* 17.67/4.60 31 -> 117* 17.67/4.60 34 -> 117* 17.67/4.60 37 -> 117* 17.67/4.60 39 -> 117* 17.67/4.60 41 -> 117* 17.67/4.60 42 -> 117* 17.67/4.60 44 -> 117* 17.67/4.60 48 -> 117* 17.67/4.60 53 -> 117* 17.67/4.60 55 -> 117* 17.67/4.60 58 -> 117* 17.67/4.60 61 -> 117* 17.67/4.60 64 -> 117* 17.67/4.60 66 -> 117* 17.67/4.60 68 -> 117* 17.67/4.60 87 -> 4* 17.67/4.60 112 -> 9* 17.67/4.60 114 -> 9,24,50 17.67/4.60 116 -> 9,179 17.67/4.60 121 -> 9,179 17.67/4.60 124 -> 9,179 17.67/4.60 128 -> 9,179 17.67/4.60 130 -> 9* 17.67/4.60 134 -> 9,164 17.67/4.60 139 -> 9,164 17.67/4.60 142 -> 9,164 17.67/4.60 148 -> 117* 17.67/4.60 151 -> 117* 17.67/4.60 154 -> 4,20,117 17.67/4.60 157 -> 117* 17.67/4.60 158 -> 117* 17.67/4.60 162 -> 117* 17.67/4.60 167 -> 4,20 17.67/4.60 169 -> 4,20 17.67/4.60 171 -> 4* 17.67/4.60 problem: 17.67/4.60 17.67/4.60 Qed 17.67/4.61 EOF