19.78/5.50 YES 19.78/5.51 19.78/5.51 Problem: 19.78/5.51 0(0(0(x1))) -> 0(0(1(0(2(x1))))) 19.78/5.51 0(3(2(x1))) -> 4(3(0(2(x1)))) 19.78/5.51 0(0(4(2(x1)))) -> 0(4(1(0(2(x1))))) 19.78/5.51 0(0(5(2(x1)))) -> 5(0(2(3(0(x1))))) 19.78/5.51 0(1(3(2(x1)))) -> 0(3(1(0(2(x1))))) 19.78/5.51 0(1(3(2(x1)))) -> 3(1(1(0(2(x1))))) 19.78/5.51 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1)))))) 19.78/5.51 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1)))))) 19.78/5.51 0(4(2(3(x1)))) -> 5(4(3(0(2(x1))))) 19.78/5.51 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1)))))) 19.78/5.51 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1)))))) 19.78/5.51 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1)))))) 19.78/5.51 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1)))))) 19.78/5.51 4(0(2(3(x1)))) -> 3(4(3(0(2(x1))))) 19.78/5.51 4(0(2(3(x1)))) -> 4(3(5(0(2(x1))))) 19.78/5.51 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1)))))) 19.78/5.51 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1)))))) 19.78/5.51 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1)))))) 19.78/5.51 5(1(0(0(x1)))) -> 5(1(0(2(0(x1))))) 19.78/5.51 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1)))))) 19.78/5.51 5(1(3(0(x1)))) -> 5(0(2(1(3(x1))))) 19.78/5.51 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1)))))) 19.78/5.51 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1)))))) 19.78/5.51 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1)))))) 19.78/5.51 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1)))))) 19.78/5.51 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1)))))) 19.78/5.51 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 19.78/5.51 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1)))))) 19.78/5.51 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1)))))) 19.78/5.51 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1)))))) 19.78/5.51 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1)))))) 19.78/5.51 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1)))))) 19.78/5.51 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1)))))) 19.78/5.51 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1)))))) 19.78/5.51 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1)))))) 19.78/5.51 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1)))))) 19.78/5.51 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1)))))) 19.78/5.51 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1)))))) 19.78/5.51 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1)))))) 19.78/5.51 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1)))))) 19.78/5.51 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1)))))) 19.78/5.51 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1)))))) 19.78/5.51 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1)))))) 19.78/5.51 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1)))))) 19.78/5.51 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1)))))) 19.78/5.51 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1)))))) 19.78/5.51 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1)))))) 19.78/5.51 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1)))))) 19.78/5.51 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1)))))) 19.78/5.51 19.78/5.51 Proof: 19.78/5.51 Bounds Processor: 19.78/5.51 bound: 1 19.78/5.51 enrichment: match 19.78/5.51 automaton: 19.78/5.51 final states: {159,156,155,151,147,142,137,133,127,126,123,121,120, 19.78/5.51 118,115,111,109,105,104,99,96,91,90,86,83,81,77,73, 19.78/5.51 71,67,61,58,54,51,50,44,40,36,31,30,25,20,18,16,11, 19.78/5.51 9,7,1} 19.78/5.51 transitions: 19.78/5.51 f60() -> 2* 19.78/5.51 00(75) -> 76* 19.78/5.51 00(45) -> 100* 19.78/5.51 00(10) -> 9* 19.78/5.51 00(5) -> 6* 19.78/5.51 00(117) -> 115* 19.78/5.51 00(42) -> 43* 19.78/5.51 00(17) -> 16* 19.78/5.51 00(7) -> 82* 19.78/5.51 00(2) -> 12* 19.78/5.51 00(149) -> 150* 19.78/5.51 00(134) -> 135* 19.78/5.51 00(94) -> 95* 19.78/5.51 00(84) -> 85* 19.78/5.51 00(64) -> 65* 19.78/5.51 00(59) -> 119* 19.78/5.51 00(49) -> 90* 19.78/5.51 00(34) -> 35* 19.78/5.51 00(24) -> 20* 19.78/5.51 00(14) -> 15* 19.78/5.51 00(106) -> 107* 19.78/5.51 00(101) -> 102* 19.78/5.51 00(56) -> 122* 19.78/5.51 00(46) -> 47* 19.78/5.51 00(26) -> 27* 19.78/5.51 00(6) -> 1* 19.78/5.51 00(143) -> 144* 19.78/5.51 00(113) -> 114* 19.78/5.51 00(88) -> 89* 19.78/5.51 00(68) -> 69* 19.78/5.51 00(63) -> 87* 19.78/5.51 00(38) -> 39* 19.78/5.51 00(3) -> 4* 19.78/5.51 00(145) -> 146* 19.78/5.51 00(140) -> 141* 19.78/5.51 00(130) -> 131* 19.78/5.51 00(85) -> 104* 19.78/5.51 10(65) -> 66* 19.78/5.51 10(45) -> 74* 19.78/5.51 10(5) -> 19* 19.78/5.51 10(157) -> 158* 19.78/5.51 10(152) -> 153* 19.78/5.51 10(102) -> 103* 19.78/5.51 10(97) -> 98* 19.78/5.51 10(87) -> 88* 19.78/5.51 10(52) -> 59* 19.78/5.51 10(47) -> 84* 19.78/5.51 10(37) -> 38* 19.78/5.51 10(12) -> 92* 19.78/5.51 10(2) -> 128* 19.78/5.51 10(144) -> 145* 19.78/5.51 10(129) -> 130* 19.78/5.51 10(79) -> 80* 19.78/5.51 10(69) -> 70* 19.78/5.51 10(29) -> 25* 19.78/5.51 10(4) -> 5* 19.78/5.51 10(46) -> 148* 19.78/5.51 10(41) -> 42* 19.78/5.51 10(26) -> 55* 19.78/5.51 10(148) -> 149* 19.78/5.51 10(138) -> 139* 19.78/5.51 10(78) -> 79* 19.78/5.51 10(68) -> 134* 19.78/5.51 10(48) -> 49* 19.78/5.51 10(23) -> 24* 19.78/5.51 10(3) -> 21* 19.78/5.51 10(100) -> 101* 19.78/5.51 10(95) -> 91* 19.78/5.51 20(70) -> 72* 19.78/5.51 20(45) -> 46* 19.78/5.51 20(92) -> 106* 19.78/5.51 20(62) -> 63* 19.78/5.51 20(32) -> 33* 19.78/5.51 20(12) -> 68* 19.78/5.51 20(2) -> 3* 19.78/5.51 20(139) -> 140* 19.78/5.51 20(74) -> 75* 19.78/5.51 20(59) -> 60* 19.78/5.51 20(98) -> 96* 19.78/5.51 20(93) -> 94* 19.78/5.51 20(63) -> 64* 19.78/5.51 20(33) -> 34* 19.78/5.51 20(13) -> 14* 19.78/5.51 20(3) -> 26* 19.78/5.51 40(60) -> 58* 19.78/5.51 40(55) -> 56* 19.78/5.51 40(5) -> 10* 19.78/5.51 40(57) -> 54* 19.78/5.51 40(22) -> 23* 19.78/5.51 40(2) -> 62* 19.78/5.51 40(139) -> 157* 19.78/5.51 40(124) -> 125* 19.78/5.51 40(114) -> 111* 19.78/5.51 40(116) -> 117* 19.78/5.51 40(66) -> 120* 19.78/5.51 40(26) -> 112* 19.78/5.51 40(21) -> 160* 19.78/5.51 40(108) -> 105* 19.78/5.51 40(103) -> 99* 19.78/5.51 40(53) -> 51* 19.78/5.51 40(28) -> 29* 19.78/5.51 40(13) -> 41* 19.78/5.51 40(8) -> 7* 19.78/5.51 40(3) -> 32* 19.78/5.51 40(110) -> 109* 19.78/5.51 40(85) -> 83* 19.78/5.51 30(80) -> 77* 19.78/5.51 30(15) -> 110* 19.78/5.51 30(5) -> 17* 19.78/5.51 30(162) -> 159* 19.78/5.51 30(117) -> 155* 19.78/5.51 30(112) -> 113* 19.78/5.51 30(107) -> 108* 19.78/5.51 30(52) -> 53* 19.78/5.51 30(37) -> 116* 19.78/5.51 30(27) -> 28* 19.78/5.51 30(12) -> 13* 19.78/5.51 30(7) -> 50* 19.78/5.51 30(2) -> 45* 19.78/5.51 30(119) -> 118* 19.78/5.51 30(39) -> 36* 19.78/5.51 30(19) -> 18* 19.78/5.51 30(4) -> 8* 19.78/5.51 30(141) -> 137* 19.78/5.51 30(136) -> 133* 19.78/5.51 30(56) -> 57* 19.78/5.51 30(21) -> 22* 19.78/5.51 30(153) -> 154* 19.78/5.51 30(128) -> 129* 19.78/5.51 30(78) -> 124* 19.78/5.51 30(3) -> 143* 19.78/5.51 50(70) -> 67* 19.78/5.51 50(35) -> 31* 19.78/5.51 50(15) -> 11* 19.78/5.51 50(132) -> 127* 19.78/5.51 50(122) -> 121* 19.78/5.51 50(92) -> 93* 19.78/5.51 50(87) -> 97* 19.78/5.51 50(82) -> 81* 19.78/5.51 50(72) -> 71* 19.78/5.51 50(47) -> 48* 19.78/5.51 50(7) -> 30* 19.78/5.51 50(154) -> 151* 19.78/5.51 50(89) -> 86* 19.78/5.51 50(49) -> 44* 19.78/5.51 50(4) -> 52* 19.78/5.51 50(161) -> 162* 19.78/5.51 50(146) -> 142* 19.78/5.51 50(131) -> 132* 19.78/5.51 50(76) -> 73* 19.78/5.51 50(66) -> 61* 19.78/5.51 50(26) -> 78* 19.78/5.51 50(21) -> 37* 19.78/5.51 50(16) -> 126* 19.78/5.51 50(158) -> 156* 19.78/5.51 50(68) -> 152* 19.78/5.51 50(43) -> 40* 19.78/5.51 50(3) -> 138* 19.78/5.51 50(160) -> 161* 19.78/5.51 50(150) -> 147* 19.78/5.51 50(135) -> 136* 19.78/5.51 50(125) -> 123* 19.78/5.51 41(171) -> 172* 19.78/5.51 31(189) -> 190* 19.78/5.51 31(205) -> 206* 19.78/5.51 31(170) -> 171* 19.78/5.51 01(192) -> 193* 19.78/5.51 01(199) -> 200* 19.78/5.51 01(179) -> 180* 19.78/5.51 01(169) -> 170* 19.78/5.51 01(181) -> 182* 19.78/5.51 21(191) -> 192* 19.78/5.51 21(168) -> 169* 19.78/5.51 21(185) -> 186* 19.78/5.51 21(180) -> 181* 19.78/5.51 51(183) -> 184* 19.78/5.51 11(182) -> 183* 19.78/5.51 11(190) -> 191* 19.78/5.51 1 -> 12* 19.78/5.51 2 -> 168* 19.78/5.51 5 -> 179* 19.78/5.51 7 -> 12,100 19.78/5.51 9 -> 12* 19.78/5.51 11 -> 12* 19.78/5.51 13 -> 62* 19.78/5.51 16 -> 12* 19.78/5.51 18 -> 12* 19.78/5.51 20 -> 12* 19.78/5.51 25 -> 12* 19.78/5.51 30 -> 12* 19.78/5.51 31 -> 12* 19.78/5.51 36 -> 12* 19.78/5.51 38 -> 189* 19.78/5.51 40 -> 12* 19.78/5.51 44 -> 12* 19.78/5.51 51 -> 62* 19.78/5.51 54 -> 62* 19.78/5.51 58 -> 62* 19.78/5.51 59 -> 205* 19.78/5.51 61 -> 62* 19.78/5.51 67 -> 93* 19.78/5.51 71 -> 93* 19.78/5.51 83 -> 12* 19.78/5.51 84 -> 199* 19.78/5.51 86 -> 12* 19.78/5.51 90 -> 12* 19.78/5.51 91 -> 12* 19.78/5.51 96 -> 12* 19.78/5.51 99 -> 12,100 19.78/5.51 104 -> 12,100,144 19.78/5.51 105 -> 12,100 19.78/5.51 109 -> 12,100 19.78/5.51 111 -> 12,100 19.78/5.51 115 -> 12* 19.78/5.51 118 -> 12* 19.78/5.51 120 -> 62* 19.78/5.51 121 -> 62* 19.78/5.51 123 -> 62* 19.78/5.51 126 -> 93* 19.78/5.51 127 -> 93* 19.78/5.51 172 -> 144* 19.78/5.51 183 -> 185* 19.78/5.51 184 -> 93* 19.78/5.51 186 -> 183* 19.78/5.51 193 -> 183* 19.78/5.51 200 -> 180* 19.78/5.51 206 -> 190* 19.78/5.51 problem: 19.78/5.51 19.78/5.51 Qed 19.78/5.52 EOF