15.64/4.38 YES 15.69/4.40 15.69/4.40 Problem: 15.69/4.40 0(1(2(x1))) -> 0(2(1(1(x1)))) 15.69/4.40 2(3(1(x1))) -> 3(4(2(1(x1)))) 15.69/4.40 0(1(2(0(x1)))) -> 0(0(2(1(1(x1))))) 15.69/4.40 0(1(2(0(x1)))) -> 0(2(1(1(0(x1))))) 15.69/4.40 0(1(2(1(x1)))) -> 0(2(1(1(1(x1))))) 15.69/4.40 0(1(2(4(x1)))) -> 4(0(2(1(1(x1))))) 15.69/4.40 0(1(2(5(x1)))) -> 0(2(5(1(1(x1))))) 15.69/4.40 0(1(2(5(x1)))) -> 0(4(2(1(5(x1))))) 15.69/4.40 0(1(3(1(x1)))) -> 0(0(3(1(1(x1))))) 15.69/4.40 0(1(3(1(x1)))) -> 3(0(2(1(1(1(x1)))))) 15.69/4.40 0(1(4(1(x1)))) -> 4(0(1(1(1(x1))))) 15.69/4.40 0(1(4(5(x1)))) -> 0(4(1(1(5(x1))))) 15.69/4.40 0(2(0(1(x1)))) -> 0(0(2(4(1(x1))))) 15.69/4.40 0(5(3(1(x1)))) -> 5(0(3(1(1(1(x1)))))) 15.69/4.40 0(5(3(2(x1)))) -> 0(3(4(2(5(x1))))) 15.69/4.40 2(3(2(0(x1)))) -> 2(2(1(3(0(x1))))) 15.69/4.40 2(4(5(2(x1)))) -> 2(1(4(2(5(x1))))) 15.69/4.40 3(0(1(2(x1)))) -> 3(4(0(2(1(x1))))) 15.69/4.40 4(4(3(2(x1)))) -> 4(3(4(2(1(x1))))) 15.69/4.40 4(5(3(1(x1)))) -> 3(5(4(4(1(x1))))) 15.69/4.40 4(5(3(1(x1)))) -> 4(3(1(5(1(x1))))) 15.69/4.40 4(5(3(2(x1)))) -> 3(4(2(5(4(x1))))) 15.69/4.40 4(5(3(2(x1)))) -> 3(5(4(2(1(x1))))) 15.69/4.40 0(1(0(2(2(x1))))) -> 0(0(2(1(4(2(x1)))))) 15.69/4.40 0(1(0(3(1(x1))))) -> 0(3(4(0(1(1(x1)))))) 15.69/4.40 0(1(4(5(1(x1))))) -> 4(0(2(5(1(1(x1)))))) 15.69/4.40 0(1(5(0(1(x1))))) -> 0(0(1(5(5(1(x1)))))) 15.69/4.40 0(2(3(1(3(x1))))) -> 0(3(4(2(1(3(x1)))))) 15.69/4.40 0(4(1(5(2(x1))))) -> 0(4(2(5(1(1(x1)))))) 15.69/4.40 0(5(1(3(2(x1))))) -> 3(0(2(1(1(5(x1)))))) 15.69/4.40 0(5(2(0(4(x1))))) -> 0(4(2(5(0(4(x1)))))) 15.69/4.40 0(5(3(1(5(x1))))) -> 5(0(3(4(1(5(x1)))))) 15.69/4.40 0(5(3(2(5(x1))))) -> 0(4(3(5(2(5(x1)))))) 15.69/4.40 2(0(1(3(1(x1))))) -> 1(1(4(3(0(2(x1)))))) 15.69/4.40 2(0(1(3(5(x1))))) -> 2(5(1(1(0(3(x1)))))) 15.69/4.40 2(0(1(5(3(x1))))) -> 2(1(1(3(0(5(x1)))))) 15.69/4.40 2(3(1(0(1(x1))))) -> 0(3(2(1(1(5(x1)))))) 15.69/4.40 2(3(1(4(1(x1))))) -> 3(4(2(5(1(1(x1)))))) 15.69/4.40 2(3(5(1(2(x1))))) -> 2(3(2(1(5(1(x1)))))) 15.69/4.40 3(0(1(2(0(x1))))) -> 3(4(0(2(1(0(x1)))))) 15.69/4.40 3(2(0(1(0(x1))))) -> 3(2(1(5(0(0(x1)))))) 15.69/4.40 3(2(3(5(1(x1))))) -> 3(3(4(2(1(5(x1)))))) 15.69/4.40 3(5(3(1(3(x1))))) -> 3(5(4(3(1(3(x1)))))) 15.69/4.40 4(0(3(3(1(x1))))) -> 0(3(4(3(1(1(x1)))))) 15.69/4.40 4(4(3(2(5(x1))))) -> 3(4(2(4(1(5(x1)))))) 15.69/4.40 4(5(0(5(2(x1))))) -> 0(4(2(1(5(5(x1)))))) 15.69/4.40 4(5(2(3(1(x1))))) -> 5(3(4(3(2(1(x1)))))) 15.69/4.40 4(5(2(5(2(x1))))) -> 4(2(5(5(2(1(x1)))))) 15.69/4.40 4(5(3(5(1(x1))))) -> 4(5(5(4(3(1(x1)))))) 15.69/4.40 15.69/4.40 Proof: 15.69/4.40 String Reversal Processor: 15.69/4.40 2(1(0(x1))) -> 1(1(2(0(x1)))) 15.69/4.40 1(3(2(x1))) -> 1(2(4(3(x1)))) 15.69/4.40 0(2(1(0(x1)))) -> 1(1(2(0(0(x1))))) 15.69/4.40 0(2(1(0(x1)))) -> 0(1(1(2(0(x1))))) 15.69/4.40 1(2(1(0(x1)))) -> 1(1(1(2(0(x1))))) 15.69/4.40 4(2(1(0(x1)))) -> 1(1(2(0(4(x1))))) 15.69/4.40 5(2(1(0(x1)))) -> 1(1(5(2(0(x1))))) 15.69/4.40 5(2(1(0(x1)))) -> 5(1(2(4(0(x1))))) 15.69/4.40 1(3(1(0(x1)))) -> 1(1(3(0(0(x1))))) 15.69/4.40 1(3(1(0(x1)))) -> 1(1(1(2(0(3(x1)))))) 15.69/4.40 1(4(1(0(x1)))) -> 1(1(1(0(4(x1))))) 15.69/4.40 5(4(1(0(x1)))) -> 5(1(1(4(0(x1))))) 15.69/4.40 1(0(2(0(x1)))) -> 1(4(2(0(0(x1))))) 15.69/4.40 1(3(5(0(x1)))) -> 1(1(1(3(0(5(x1)))))) 15.69/4.40 2(3(5(0(x1)))) -> 5(2(4(3(0(x1))))) 15.69/4.40 0(2(3(2(x1)))) -> 0(3(1(2(2(x1))))) 15.69/4.40 2(5(4(2(x1)))) -> 5(2(4(1(2(x1))))) 15.69/4.40 2(1(0(3(x1)))) -> 1(2(0(4(3(x1))))) 15.69/4.40 2(3(4(4(x1)))) -> 1(2(4(3(4(x1))))) 15.69/4.40 1(3(5(4(x1)))) -> 1(4(4(5(3(x1))))) 15.69/4.40 1(3(5(4(x1)))) -> 1(5(1(3(4(x1))))) 15.69/4.40 2(3(5(4(x1)))) -> 4(5(2(4(3(x1))))) 15.69/4.40 2(3(5(4(x1)))) -> 1(2(4(5(3(x1))))) 15.69/4.40 2(2(0(1(0(x1))))) -> 2(4(1(2(0(0(x1)))))) 15.69/4.40 1(3(0(1(0(x1))))) -> 1(1(0(4(3(0(x1)))))) 15.69/4.40 1(5(4(1(0(x1))))) -> 1(1(5(2(0(4(x1)))))) 15.69/4.40 1(0(5(1(0(x1))))) -> 1(5(5(1(0(0(x1)))))) 15.69/4.40 3(1(3(2(0(x1))))) -> 3(1(2(4(3(0(x1)))))) 15.69/4.40 2(5(1(4(0(x1))))) -> 1(1(5(2(4(0(x1)))))) 15.69/4.40 2(3(1(5(0(x1))))) -> 5(1(1(2(0(3(x1)))))) 15.69/4.40 4(0(2(5(0(x1))))) -> 4(0(5(2(4(0(x1)))))) 15.69/4.40 5(1(3(5(0(x1))))) -> 5(1(4(3(0(5(x1)))))) 15.69/4.40 5(2(3(5(0(x1))))) -> 5(2(5(3(4(0(x1)))))) 15.69/4.40 1(3(1(0(2(x1))))) -> 2(0(3(4(1(1(x1)))))) 15.69/4.40 5(3(1(0(2(x1))))) -> 3(0(1(1(5(2(x1)))))) 15.69/4.40 3(5(1(0(2(x1))))) -> 5(0(3(1(1(2(x1)))))) 15.69/4.40 1(0(1(3(2(x1))))) -> 5(1(1(2(3(0(x1)))))) 15.69/4.40 1(4(1(3(2(x1))))) -> 1(1(5(2(4(3(x1)))))) 15.69/4.40 2(1(5(3(2(x1))))) -> 1(5(1(2(3(2(x1)))))) 15.69/4.40 0(2(1(0(3(x1))))) -> 0(1(2(0(4(3(x1)))))) 15.69/4.40 0(1(0(2(3(x1))))) -> 0(0(5(1(2(3(x1)))))) 15.69/4.40 1(5(3(2(3(x1))))) -> 5(1(2(4(3(3(x1)))))) 15.69/4.40 3(1(3(5(3(x1))))) -> 3(1(3(4(5(3(x1)))))) 15.69/4.40 1(3(3(0(4(x1))))) -> 1(1(3(4(3(0(x1)))))) 15.69/4.40 5(2(3(4(4(x1))))) -> 5(1(4(2(4(3(x1)))))) 15.69/4.40 2(5(0(5(4(x1))))) -> 5(5(1(2(4(0(x1)))))) 15.69/4.40 1(3(2(5(4(x1))))) -> 1(2(3(4(3(5(x1)))))) 15.69/4.40 2(5(2(5(4(x1))))) -> 1(2(5(5(2(4(x1)))))) 15.69/4.40 1(5(3(5(4(x1))))) -> 1(3(4(5(5(4(x1)))))) 15.69/4.40 Bounds Processor: 15.69/4.40 bound: 0 15.69/4.40 enrichment: match 15.69/4.40 automaton: 15.69/4.40 final states: {165,160,155,154,151,148,145,140,135,134,129,127,123, 15.69/4.40 119,114,108,104,101,99,98,95,93,89,86,83,81,79,77, 15.69/4.40 74,70,66,63,59,54,50,44,42,39,36,31,28,24,21,16,15, 15.69/4.40 14,10,6,1} 15.69/4.40 transitions: 15.69/4.40 f60() -> 2* 15.69/4.40 10(65) -> 63* 15.69/4.40 10(60) -> 120* 15.69/4.40 10(55) -> 60* 15.69/4.40 10(40) -> 41* 15.69/4.40 10(35) -> 31* 15.69/4.40 10(30) -> 28* 15.69/4.40 10(25) -> 40* 15.69/4.40 10(20) -> 16* 15.69/4.40 10(5) -> 1* 15.69/4.40 10(152) -> 153* 15.69/4.40 10(102) -> 103* 15.69/4.40 10(97) -> 95* 15.69/4.40 10(92) -> 89* 15.69/4.40 10(87) -> 88* 15.69/4.40 10(67) -> 75* 15.69/4.40 10(47) -> 48* 15.69/4.40 10(37) -> 38* 15.69/4.40 10(22) -> 23* 15.69/4.40 10(12) -> 13* 15.69/4.40 10(2) -> 109* 15.69/4.40 10(169) -> 165* 15.69/4.40 10(164) -> 160* 15.69/4.40 10(159) -> 155* 15.69/4.40 10(149) -> 150* 15.69/4.40 10(124) -> 125* 15.69/4.40 10(109) -> 110* 15.69/4.40 10(84) -> 85* 15.69/4.40 10(69) -> 66* 15.69/4.40 10(49) -> 44* 15.69/4.40 10(34) -> 35* 15.69/4.40 10(29) -> 30* 15.69/4.40 10(19) -> 20* 15.69/4.40 10(9) -> 6* 15.69/4.40 10(4) -> 5* 15.69/4.40 10(146) -> 147* 15.69/4.40 10(136) -> 137* 15.69/4.40 10(131) -> 132* 15.69/4.40 10(116) -> 117* 15.69/4.40 10(96) -> 97* 15.69/4.40 10(76) -> 74* 15.69/4.40 10(56) -> 57* 15.69/4.40 10(26) -> 27* 15.69/4.40 10(11) -> 90* 15.69/4.40 10(1) -> 15* 15.69/4.40 10(143) -> 144* 15.69/4.40 10(133) -> 129* 15.69/4.40 10(128) -> 127* 15.69/4.40 10(88) -> 86* 15.69/4.40 10(78) -> 128* 15.69/4.40 10(73) -> 70* 15.69/4.40 10(53) -> 94* 15.69/4.40 10(48) -> 49* 15.69/4.40 10(43) -> 42* 15.69/4.40 10(38) -> 36* 15.69/4.40 10(33) -> 34* 15.69/4.40 10(23) -> 21* 15.69/4.40 10(18) -> 37* 15.69/4.40 10(13) -> 10* 15.69/4.40 10(150) -> 148* 15.69/4.40 10(125) -> 126* 15.69/4.40 10(115) -> 116* 15.69/4.40 10(85) -> 83* 15.69/4.40 10(80) -> 79* 15.69/4.40 20(55) -> 56* 15.69/4.40 20(25) -> 26* 15.69/4.40 20(142) -> 143* 15.69/4.40 20(82) -> 81* 15.69/4.40 20(72) -> 80* 15.69/4.40 20(52) -> 53* 15.69/4.40 20(32) -> 33* 15.69/4.40 20(17) -> 161* 15.69/4.40 20(7) -> 136* 15.69/4.40 20(2) -> 55* 15.69/4.40 20(64) -> 65* 15.69/4.40 20(106) -> 107* 15.69/4.40 20(61) -> 62* 15.69/4.40 20(51) -> 124* 15.69/4.40 20(11) -> 12* 15.69/4.40 20(163) -> 164* 15.69/4.40 20(158) -> 159* 15.69/4.40 20(113) -> 108* 15.69/4.40 20(68) -> 69* 15.69/4.40 20(18) -> 19* 15.69/4.40 20(8) -> 9* 15.69/4.40 20(3) -> 4* 15.69/4.40 20(130) -> 131* 15.69/4.40 00(45) -> 46* 15.69/4.40 00(117) -> 118* 15.69/4.40 00(112) -> 113* 15.69/4.40 00(52) -> 84* 15.69/4.40 00(17) -> 18* 15.69/4.40 00(7) -> 32* 15.69/4.40 00(2) -> 3* 15.69/4.40 00(139) -> 135* 15.69/4.40 00(121) -> 122* 15.69/4.40 00(96) -> 100* 15.69/4.40 00(1) -> 14* 15.69/4.40 00(138) -> 139* 15.69/4.40 00(63) -> 134* 15.69/4.40 00(58) -> 54* 15.69/4.40 00(8) -> 64* 15.69/4.40 00(3) -> 11* 15.69/4.40 40(60) -> 61* 15.69/4.40 40(167) -> 168* 15.69/4.40 40(72) -> 73* 15.69/4.40 40(67) -> 68* 15.69/4.40 40(47) -> 102* 15.69/4.40 40(12) -> 43* 15.69/4.40 40(7) -> 8* 15.69/4.40 40(2) -> 17* 15.69/4.40 40(9) -> 152* 15.69/4.40 40(156) -> 157* 15.69/4.40 40(141) -> 142* 15.69/4.40 40(71) -> 72* 15.69/4.40 40(51) -> 52* 15.69/4.40 40(78) -> 77* 15.69/4.40 40(13) -> 82* 15.69/4.40 40(3) -> 25* 15.69/4.40 40(110) -> 111* 15.69/4.40 40(100) -> 99* 15.69/4.40 30(55) -> 130* 15.69/4.40 30(45) -> 156* 15.69/4.40 30(25) -> 105* 15.69/4.40 30(157) -> 158* 15.69/4.40 30(147) -> 145* 15.69/4.40 30(72) -> 146* 15.69/4.40 30(57) -> 58* 15.69/4.40 30(52) -> 149* 15.69/4.40 30(17) -> 67* 15.69/4.40 30(7) -> 141* 15.69/4.40 30(2) -> 7* 15.69/4.40 30(94) -> 93* 15.69/4.40 30(111) -> 112* 15.69/4.40 30(46) -> 47* 15.69/4.40 30(11) -> 29* 15.69/4.40 30(168) -> 169* 15.69/4.40 30(118) -> 114* 15.69/4.40 30(3) -> 51* 15.69/4.40 30(120) -> 121* 15.69/4.40 50(75) -> 76* 15.69/4.40 50(55) -> 115* 15.69/4.40 50(35) -> 98* 15.69/4.40 50(162) -> 163* 15.69/4.40 50(137) -> 138* 15.69/4.40 50(132) -> 133* 15.69/4.40 50(122) -> 119* 15.69/4.40 50(107) -> 104* 15.69/4.40 50(62) -> 59* 15.69/4.40 50(27) -> 24* 15.69/4.40 50(17) -> 166* 15.69/4.40 50(7) -> 71* 15.69/4.40 50(2) -> 45* 15.69/4.40 50(144) -> 140* 15.69/4.40 50(24) -> 154* 15.69/4.40 50(19) -> 87* 15.69/4.40 50(9) -> 78* 15.69/4.40 50(4) -> 22* 15.69/4.40 50(166) -> 167* 15.69/4.40 50(161) -> 162* 15.69/4.40 50(126) -> 123* 15.69/4.40 50(91) -> 92* 15.69/4.40 50(41) -> 39* 15.69/4.40 50(26) -> 96* 15.69/4.40 50(153) -> 151* 15.69/4.40 50(103) -> 101* 15.69/4.40 50(53) -> 50* 15.69/4.40 50(105) -> 106* 15.69/4.40 50(90) -> 91* 15.69/4.40 1 -> 55* 15.69/4.40 6 -> 109* 15.69/4.40 10 -> 3* 15.69/4.40 14 -> 3* 15.69/4.40 15 -> 109* 15.69/4.40 16 -> 17* 15.69/4.40 21 -> 45,115 15.69/4.40 24 -> 45,115 15.69/4.40 28 -> 109* 15.69/4.40 31 -> 109* 15.69/4.40 36 -> 109* 15.69/4.40 39 -> 45,166 15.69/4.40 42 -> 109* 15.69/4.40 44 -> 109* 15.69/4.40 50 -> 55,136 15.69/4.40 54 -> 3* 15.69/4.40 59 -> 55* 15.69/4.40 63 -> 55* 15.69/4.40 66 -> 55,136 15.69/4.40 70 -> 109* 15.69/4.40 74 -> 109* 15.69/4.40 77 -> 55,136 15.69/4.40 79 -> 55,136 15.69/4.40 81 -> 55,56 15.69/4.40 83 -> 109* 15.69/4.40 86 -> 109* 15.69/4.40 89 -> 109* 15.69/4.40 93 -> 7* 15.69/4.40 95 -> 55* 15.69/4.40 98 -> 55,136 15.69/4.40 99 -> 17,25 15.69/4.40 101 -> 45* 15.69/4.40 104 -> 45,115 15.69/4.40 108 -> 109* 15.69/4.40 114 -> 45,71 15.69/4.40 119 -> 7,156 15.69/4.40 123 -> 109* 15.69/4.40 127 -> 109* 15.69/4.40 129 -> 55* 15.69/4.40 134 -> 3* 15.69/4.40 135 -> 3* 15.69/4.40 140 -> 109* 15.69/4.40 145 -> 7* 15.69/4.40 148 -> 109* 15.69/4.40 151 -> 45,115 15.69/4.40 154 -> 55* 15.69/4.40 155 -> 109* 15.69/4.40 160 -> 55* 15.69/4.40 165 -> 109* 15.69/4.40 problem: 15.69/4.40 15.69/4.40 Qed 15.69/4.41 EOF