18.27/5.09 YES 18.27/5.10 18.27/5.10 Problem: 18.27/5.10 0(1(0(2(x1)))) -> 0(0(1(3(2(x1))))) 18.27/5.10 0(1(2(2(x1)))) -> 0(3(2(2(1(x1))))) 18.27/5.10 0(2(1(1(x1)))) -> 0(1(1(1(3(2(x1)))))) 18.27/5.10 0(2(3(2(x1)))) -> 0(3(0(3(2(2(x1)))))) 18.27/5.10 0(2(4(4(x1)))) -> 3(0(4(2(4(x1))))) 18.27/5.10 0(4(0(2(x1)))) -> 3(0(0(4(2(x1))))) 18.27/5.10 0(4(0(2(x1)))) -> 3(0(0(0(4(2(x1)))))) 18.27/5.10 0(4(5(1(x1)))) -> 0(0(0(4(1(5(x1)))))) 18.27/5.10 0(5(1(1(x1)))) -> 0(1(1(3(5(x1))))) 18.27/5.10 0(5(1(1(x1)))) -> 0(1(3(1(5(x1))))) 18.27/5.10 0(5(1(4(x1)))) -> 0(3(3(4(1(5(x1)))))) 18.27/5.10 0(5(3(2(x1)))) -> 0(3(0(5(5(2(x1)))))) 18.27/5.10 0(5(3(2(x1)))) -> 3(0(3(5(5(2(x1)))))) 18.27/5.10 0(5(4(1(x1)))) -> 0(3(1(5(4(x1))))) 18.27/5.10 0(5(4(1(x1)))) -> 0(0(4(1(1(5(x1)))))) 18.27/5.10 0(5(4(4(x1)))) -> 4(0(4(3(5(x1))))) 18.27/5.10 2(0(2(4(x1)))) -> 2(2(4(0(0(x1))))) 18.27/5.10 2(0(5(1(x1)))) -> 0(0(0(5(2(1(x1)))))) 18.27/5.10 2(0(5(1(x1)))) -> 5(0(3(5(2(1(x1)))))) 18.27/5.10 2(0(5(1(x1)))) -> 5(3(0(5(2(1(x1)))))) 18.27/5.10 2(0(5(4(x1)))) -> 2(4(0(3(5(x1))))) 18.27/5.10 5(1(0(2(x1)))) -> 2(5(0(3(1(x1))))) 18.27/5.10 5(3(2(4(x1)))) -> 2(3(4(3(5(x1))))) 18.27/5.10 5(4(0(2(x1)))) -> 5(0(3(0(4(2(x1)))))) 18.27/5.10 0(0(2(1(1(x1))))) -> 0(3(0(1(2(1(x1)))))) 18.27/5.10 0(1(5(1(4(x1))))) -> 0(4(3(1(1(5(x1)))))) 18.27/5.10 0(1(5(4(1(x1))))) -> 4(0(1(1(3(5(x1)))))) 18.27/5.10 0(2(0(2(4(x1))))) -> 0(0(2(1(2(4(x1)))))) 18.27/5.10 0(2(0(5(1(x1))))) -> 5(0(0(0(2(1(x1)))))) 18.27/5.10 0(2(1(3(2(x1))))) -> 3(0(3(1(2(2(x1)))))) 18.27/5.10 0(2(1(5(1(x1))))) -> 0(5(2(1(1(0(x1)))))) 18.27/5.10 0(2(3(5(1(x1))))) -> 5(2(1(0(0(3(x1)))))) 18.27/5.10 0(4(0(4(2(x1))))) -> 3(0(0(4(4(2(x1)))))) 18.27/5.10 0(5(0(2(4(x1))))) -> 0(4(0(5(2(4(x1)))))) 18.27/5.10 0(5(1(3(2(x1))))) -> 0(3(4(1(5(2(x1)))))) 18.27/5.10 0(5(4(3(2(x1))))) -> 0(0(3(4(2(5(x1)))))) 18.27/5.10 0(5(5(4(2(x1))))) -> 4(0(3(5(5(2(x1)))))) 18.27/5.10 2(0(1(2(4(x1))))) -> 2(2(1(3(4(0(x1)))))) 18.27/5.10 2(0(5(1(1(x1))))) -> 5(0(2(3(1(1(x1)))))) 18.27/5.10 2(5(5(1(1(x1))))) -> 5(5(2(1(1(3(x1)))))) 18.27/5.10 3(4(2(1(1(x1))))) -> 3(4(3(1(1(2(x1)))))) 18.27/5.10 3(5(0(2(1(x1))))) -> 1(2(5(0(3(3(x1)))))) 18.27/5.10 4(1(2(1(1(x1))))) -> 3(4(1(1(2(1(x1)))))) 18.27/5.10 4(1(2(4(1(x1))))) -> 4(3(4(1(1(2(x1)))))) 18.27/5.10 4(3(5(1(1(x1))))) -> 3(4(1(1(1(5(x1)))))) 18.27/5.10 5(0(1(5(1(x1))))) -> 5(0(3(1(1(5(x1)))))) 18.27/5.10 5(0(5(0(2(x1))))) -> 2(0(0(0(5(5(x1)))))) 18.27/5.10 5(1(4(5(1(x1))))) -> 5(0(1(1(5(4(x1)))))) 18.27/5.10 5(1(4(5(1(x1))))) -> 5(3(4(1(1(5(x1)))))) 18.27/5.10 5(3(1(5(4(x1))))) -> 5(3(4(1(3(5(x1)))))) 18.27/5.10 18.27/5.10 Proof: 18.27/5.10 Bounds Processor: 18.27/5.10 bound: 0 18.27/5.10 enrichment: match 18.27/5.10 automaton: 18.27/5.10 final states: {187,185,182,177,175,172,169,166,161,156,151,146,141, 18.27/5.10 140,135,131,127,123,117,112,108,104,100,99,96,92,89, 18.27/5.10 87,83,80,78,75,71,66,63,59,55,52,47,44,41,37,31,29, 18.27/5.10 25,20,15,12,7,1} 18.27/5.10 transitions: 18.27/5.10 f60() -> 2* 18.27/5.10 00(40) -> 37* 18.27/5.10 00(35) -> 36* 18.27/5.10 00(5) -> 6* 18.27/5.10 00(162) -> 163* 18.27/5.10 00(102) -> 103* 18.27/5.10 00(97) -> 176* 18.27/5.10 00(72) -> 73* 18.27/5.10 00(67) -> 68* 18.27/5.10 00(62) -> 59* 18.27/5.10 00(27) -> 28* 18.27/5.10 00(17) -> 18* 18.27/5.10 00(2) -> 67* 18.27/5.10 00(179) -> 180* 18.27/5.10 00(149) -> 150* 18.27/5.10 00(139) -> 135* 18.27/5.10 00(134) -> 131* 18.27/5.10 00(124) -> 125* 18.27/5.10 00(119) -> 120* 18.27/5.10 00(84) -> 85* 18.27/5.10 00(74) -> 71* 18.27/5.10 00(64) -> 65* 18.27/5.10 00(49) -> 50* 18.27/5.10 00(34) -> 35* 18.27/5.10 00(19) -> 15* 18.27/5.10 00(14) -> 12* 18.27/5.10 00(9) -> 105* 18.27/5.10 00(116) -> 112* 18.27/5.10 00(106) -> 107* 18.27/5.10 00(76) -> 77* 18.27/5.10 00(61) -> 62* 18.27/5.10 00(51) -> 47* 18.27/5.10 00(46) -> 44* 18.27/5.10 00(36) -> 31* 18.27/5.10 00(26) -> 27* 18.27/5.10 00(11) -> 7* 18.27/5.10 00(6) -> 1* 18.27/5.10 00(183) -> 184* 18.27/5.10 00(178) -> 179* 18.27/5.10 00(138) -> 139* 18.27/5.10 00(128) -> 129* 18.27/5.10 00(118) -> 119* 18.27/5.10 00(103) -> 100* 18.27/5.10 00(98) -> 96* 18.27/5.10 00(93) -> 94* 18.27/5.10 00(73) -> 74* 18.27/5.10 00(58) -> 55* 18.27/5.10 00(53) -> 54* 18.27/5.10 00(43) -> 41* 18.27/5.10 00(38) -> 81* 18.27/5.10 00(28) -> 30* 18.27/5.10 00(23) -> 24* 18.27/5.10 00(180) -> 181* 18.27/5.10 00(130) -> 127* 18.27/5.10 00(125) -> 126* 18.27/5.10 00(110) -> 111* 18.27/5.10 00(105) -> 106* 18.27/5.10 00(95) -> 92* 18.27/5.10 00(90) -> 91* 18.27/5.10 10(60) -> 173* 18.27/5.10 10(5) -> 13* 18.27/5.10 10(157) -> 158* 18.27/5.10 10(152) -> 153* 18.27/5.10 10(67) -> 113* 18.27/5.10 10(57) -> 183* 18.27/5.10 10(42) -> 43* 18.27/5.10 10(32) -> 33* 18.27/5.10 10(22) -> 101* 18.27/5.10 10(2) -> 8* 18.27/5.10 10(39) -> 40* 18.27/5.10 10(9) -> 93* 18.27/5.10 10(4) -> 5* 18.27/5.10 10(56) -> 57* 18.27/5.10 10(16) -> 109* 18.27/5.10 10(143) -> 144* 18.27/5.10 10(118) -> 152* 18.27/5.10 10(113) -> 114* 18.27/5.10 10(93) -> 167* 18.27/5.10 10(48) -> 132* 18.27/5.10 10(38) -> 39* 18.27/5.10 10(33) -> 60* 18.27/5.10 10(13) -> 14* 18.27/5.10 10(8) -> 147* 18.27/5.10 10(3) -> 157* 18.27/5.10 10(165) -> 161* 18.27/5.10 10(120) -> 121* 18.27/5.10 30(60) -> 97* 18.27/5.10 30(50) -> 51* 18.27/5.10 30(45) -> 46* 18.27/5.10 30(30) -> 29* 18.27/5.10 30(10) -> 11* 18.27/5.10 30(147) -> 148* 18.27/5.10 30(142) -> 143* 18.27/5.11 30(137) -> 138* 18.27/5.11 30(72) -> 76* 18.27/5.11 30(57) -> 58* 18.27/5.11 30(32) -> 38* 18.27/5.11 30(27) -> 90* 18.27/5.11 30(2) -> 118* 18.27/5.11 30(174) -> 172* 18.27/5.11 30(109) -> 110* 18.27/5.11 30(94) -> 95* 18.27/5.11 30(64) -> 88* 18.27/5.11 30(54) -> 52* 18.27/5.11 30(49) -> 53* 18.27/5.11 30(34) -> 45* 18.27/5.11 30(24) -> 20* 18.27/5.11 30(126) -> 123* 18.27/5.11 30(111) -> 108* 18.27/5.11 30(61) -> 186* 18.27/5.11 30(16) -> 17* 18.27/5.11 30(188) -> 189* 18.27/5.11 30(168) -> 166* 18.27/5.11 30(158) -> 159* 18.27/5.11 30(133) -> 134* 18.27/5.11 30(118) -> 162* 18.27/5.11 30(73) -> 79* 18.27/5.11 30(33) -> 42* 18.27/5.11 30(28) -> 25* 18.27/5.11 30(18) -> 19* 18.27/5.11 30(8) -> 84* 18.27/5.11 30(3) -> 4* 18.27/5.11 30(170) -> 171* 18.27/5.11 30(160) -> 156* 18.27/5.11 20(70) -> 66* 18.27/5.11 20(82) -> 80* 18.27/5.11 20(32) -> 136* 18.27/5.11 20(2) -> 3* 18.27/5.11 20(164) -> 165* 18.27/5.11 20(144) -> 145* 18.27/5.11 20(114) -> 115* 18.27/5.11 20(69) -> 70* 18.27/5.11 20(9) -> 10* 18.27/5.11 20(181) -> 177* 18.27/5.11 20(121) -> 122* 18.27/5.11 20(101) -> 102* 18.27/5.11 20(86) -> 83* 18.27/5.11 20(21) -> 22* 18.27/5.11 20(153) -> 154* 18.27/5.11 20(148) -> 149* 18.27/5.11 20(88) -> 87* 18.27/5.11 20(8) -> 9* 18.27/5.11 20(3) -> 16* 18.27/5.11 20(145) -> 141* 18.27/5.11 40(65) -> 63* 18.27/5.11 40(60) -> 61* 18.27/5.11 40(167) -> 168* 18.27/5.11 40(132) -> 133* 18.27/5.11 40(97) -> 98* 18.27/5.11 40(67) -> 142* 18.27/5.11 40(37) -> 99* 18.27/5.11 40(22) -> 23* 18.27/5.11 40(2) -> 21* 18.27/5.11 40(159) -> 160* 18.27/5.11 40(129) -> 130* 18.27/5.11 40(54) -> 140* 18.27/5.11 40(39) -> 188* 18.27/5.11 40(171) -> 169* 18.27/5.11 40(136) -> 137* 18.27/5.11 40(81) -> 82* 18.27/5.11 40(26) -> 124* 18.27/5.11 40(173) -> 174* 18.27/5.11 40(158) -> 170* 18.27/5.11 40(68) -> 69* 18.27/5.11 40(38) -> 64* 18.27/5.11 40(33) -> 34* 18.27/5.11 40(3) -> 26* 18.27/5.11 50(122) -> 117* 18.27/5.11 50(107) -> 104* 18.27/5.11 50(77) -> 75* 18.27/5.11 50(32) -> 178* 18.27/5.11 50(22) -> 128* 18.27/5.11 50(2) -> 32* 18.27/5.11 50(189) -> 187* 18.27/5.11 50(184) -> 182* 18.27/5.11 50(154) -> 155* 18.27/5.11 50(79) -> 78* 18.27/5.11 50(9) -> 72* 18.27/5.11 50(186) -> 185* 18.27/5.11 50(176) -> 175* 18.27/5.11 50(91) -> 89* 18.27/5.11 50(21) -> 56* 18.27/5.11 50(163) -> 164* 18.27/5.11 50(48) -> 49* 18.27/5.11 50(3) -> 48* 18.27/5.11 50(155) -> 151* 18.27/5.11 50(150) -> 146* 18.27/5.11 50(115) -> 116* 18.27/5.11 50(85) -> 86* 18.27/5.11 1 -> 67* 18.27/5.11 7 -> 67* 18.27/5.11 12 -> 67,105 18.27/5.11 15 -> 67* 18.27/5.11 20 -> 67* 18.27/5.11 25 -> 67* 18.27/5.11 29 -> 67* 18.27/5.11 31 -> 67* 18.27/5.11 37 -> 67* 18.27/5.11 41 -> 67* 18.27/5.11 44 -> 67* 18.27/5.11 47 -> 67* 18.27/5.11 52 -> 67* 18.27/5.11 55 -> 67* 18.27/5.11 59 -> 67* 18.27/5.11 63 -> 67* 18.27/5.11 66 -> 3* 18.27/5.11 71 -> 3* 18.27/5.11 75 -> 3* 18.27/5.11 78 -> 3* 18.27/5.11 80 -> 3* 18.27/5.11 83 -> 32* 18.27/5.11 87 -> 32* 18.27/5.11 89 -> 32,56 18.27/5.11 92 -> 67,68,106 18.27/5.11 96 -> 67* 18.27/5.11 99 -> 67* 18.27/5.11 100 -> 67* 18.27/5.11 104 -> 67* 18.27/5.11 108 -> 67,105 18.27/5.11 112 -> 67,105 18.27/5.11 117 -> 67* 18.27/5.11 123 -> 67* 18.27/5.11 127 -> 67* 18.27/5.11 131 -> 67* 18.27/5.11 135 -> 67* 18.27/5.11 140 -> 67,179 18.27/5.11 141 -> 3* 18.27/5.11 146 -> 3* 18.27/5.11 151 -> 3,136 18.27/5.11 156 -> 118* 18.27/5.11 161 -> 118,38 18.27/5.11 166 -> 21* 18.27/5.11 169 -> 21* 18.27/5.11 172 -> 21,64 18.27/5.11 175 -> 32* 18.27/5.11 177 -> 32* 18.27/5.11 182 -> 32* 18.27/5.11 185 -> 32* 18.27/5.11 187 -> 32* 18.27/5.11 problem: 18.27/5.11 18.27/5.11 Qed 18.27/5.11 EOF