19.26/5.32 YES 19.26/5.33 19.26/5.33 Problem: 19.26/5.33 0(1(2(x1))) -> 1(3(0(2(x1)))) 19.26/5.33 0(1(2(x1))) -> 3(1(2(0(x1)))) 19.26/5.33 0(1(2(x1))) -> 2(0(4(1(3(x1))))) 19.26/5.33 0(1(2(x1))) -> 3(0(2(1(3(x1))))) 19.26/5.33 0(1(2(x1))) -> 3(3(0(2(1(x1))))) 19.26/5.33 0(1(2(x1))) -> 1(3(3(0(2(3(x1)))))) 19.26/5.33 0(1(2(x1))) -> 2(0(4(3(1(3(x1)))))) 19.26/5.33 0(1(2(x1))) -> 3(0(1(3(1(2(x1)))))) 19.26/5.33 0(1(2(x1))) -> 3(0(5(3(1(2(x1)))))) 19.26/5.33 0(5(2(x1))) -> 1(5(0(2(x1)))) 19.26/5.33 0(5(2(x1))) -> 3(5(0(2(x1)))) 19.26/5.33 0(5(2(x1))) -> 3(0(5(1(2(x1))))) 19.26/5.33 0(5(2(x1))) -> 3(5(3(0(2(x1))))) 19.26/5.33 0(5(2(x1))) -> 1(5(5(3(0(2(x1)))))) 19.26/5.33 0(5(2(x1))) -> 5(0(4(3(1(2(x1)))))) 19.26/5.33 1(5(2(x1))) -> 5(3(1(2(x1)))) 19.26/5.33 1(5(2(x1))) -> 1(5(3(1(2(x1))))) 19.26/5.33 0(0(5(4(x1)))) -> 5(3(0(4(0(0(x1)))))) 19.26/5.33 0(1(0(1(x1)))) -> 1(1(3(0(3(0(x1)))))) 19.26/5.33 0(1(1(2(x1)))) -> 2(1(1(3(0(2(x1)))))) 19.26/5.33 0(1(2(5(x1)))) -> 3(0(5(1(2(x1))))) 19.26/5.33 0(1(2(5(x1)))) -> 3(5(3(1(2(0(x1)))))) 19.26/5.33 0(1(3(2(x1)))) -> 3(0(2(1(3(5(x1)))))) 19.26/5.33 0(1(4(2(x1)))) -> 3(0(0(4(1(2(x1)))))) 19.26/5.33 0(1(4(2(x1)))) -> 4(0(1(3(1(2(x1)))))) 19.26/5.33 0(5(2(4(x1)))) -> 5(5(3(0(2(4(x1)))))) 19.26/5.33 0(5(2(5(x1)))) -> 0(2(3(5(5(x1))))) 19.26/5.33 0(5(3(2(x1)))) -> 3(0(2(1(5(x1))))) 19.26/5.33 0(5(3(2(x1)))) -> 5(3(1(4(0(2(x1)))))) 19.26/5.33 1(0(3(4(x1)))) -> 1(0(4(1(3(x1))))) 19.26/5.33 1(5(3(2(x1)))) -> 3(1(3(5(2(x1))))) 19.26/5.33 5(0(1(2(x1)))) -> 1(5(0(4(1(2(x1)))))) 19.26/5.33 5(1(0(2(x1)))) -> 3(1(5(0(2(x1))))) 19.26/5.33 5(1(1(2(x1)))) -> 1(3(5(2(1(3(x1)))))) 19.26/5.33 5(1(5(2(x1)))) -> 1(3(5(5(2(x1))))) 19.26/5.33 0(0(1(3(2(x1))))) -> 0(3(1(2(0(3(x1)))))) 19.26/5.33 0(0(5(3(2(x1))))) -> 0(3(0(3(2(5(x1)))))) 19.26/5.33 0(1(0(3(4(x1))))) -> 4(0(1(3(0(3(x1)))))) 19.26/5.33 0(1(0(5(4(x1))))) -> 3(0(4(0(1(5(x1)))))) 19.26/5.33 0(1(2(4(4(x1))))) -> 0(4(1(2(1(4(x1)))))) 19.26/5.33 0(1(5(3(2(x1))))) -> 1(2(3(0(4(5(x1)))))) 19.26/5.33 0(5(4(2(4(x1))))) -> 4(5(3(0(4(2(x1)))))) 19.26/5.33 0(5(4(4(2(x1))))) -> 0(4(4(3(5(2(x1)))))) 19.26/5.33 1(0(1(3(4(x1))))) -> 4(1(1(3(0(3(x1)))))) 19.26/5.33 1(0(3(4(5(x1))))) -> 2(1(3(0(4(5(x1)))))) 19.26/5.33 1(1(3(4(2(x1))))) -> 2(5(1(3(1(4(x1)))))) 19.26/5.33 1(5(3(2(2(x1))))) -> 2(3(5(3(1(2(x1)))))) 19.26/5.33 5(0(5(2(4(x1))))) -> 5(1(5(0(4(2(x1)))))) 19.26/5.33 5(1(0(5(2(x1))))) -> 1(5(0(2(3(5(x1)))))) 19.26/5.33 5(1(1(2(1(x1))))) -> 3(1(2(5(1(1(x1)))))) 19.26/5.33 19.26/5.33 Proof: 19.26/5.33 String Reversal Processor: 19.26/5.33 2(1(0(x1))) -> 2(0(3(1(x1)))) 19.26/5.33 2(1(0(x1))) -> 0(2(1(3(x1)))) 19.26/5.33 2(1(0(x1))) -> 3(1(4(0(2(x1))))) 19.26/5.33 2(1(0(x1))) -> 3(1(2(0(3(x1))))) 19.26/5.33 2(1(0(x1))) -> 1(2(0(3(3(x1))))) 19.26/5.33 2(1(0(x1))) -> 3(2(0(3(3(1(x1)))))) 19.26/5.33 2(1(0(x1))) -> 3(1(3(4(0(2(x1)))))) 19.26/5.33 2(1(0(x1))) -> 2(1(3(1(0(3(x1)))))) 19.26/5.33 2(1(0(x1))) -> 2(1(3(5(0(3(x1)))))) 19.26/5.33 2(5(0(x1))) -> 2(0(5(1(x1)))) 19.26/5.33 2(5(0(x1))) -> 2(0(5(3(x1)))) 19.26/5.33 2(5(0(x1))) -> 2(1(5(0(3(x1))))) 19.26/5.33 2(5(0(x1))) -> 2(0(3(5(3(x1))))) 19.26/5.33 2(5(0(x1))) -> 2(0(3(5(5(1(x1)))))) 19.26/5.33 2(5(0(x1))) -> 2(1(3(4(0(5(x1)))))) 19.26/5.33 2(5(1(x1))) -> 2(1(3(5(x1)))) 19.26/5.33 2(5(1(x1))) -> 2(1(3(5(1(x1))))) 19.26/5.33 4(5(0(0(x1)))) -> 0(0(4(0(3(5(x1)))))) 19.26/5.33 1(0(1(0(x1)))) -> 0(3(0(3(1(1(x1)))))) 19.26/5.33 2(1(1(0(x1)))) -> 2(0(3(1(1(2(x1)))))) 19.26/5.33 5(2(1(0(x1)))) -> 2(1(5(0(3(x1))))) 19.26/5.33 5(2(1(0(x1)))) -> 0(2(1(3(5(3(x1)))))) 19.26/5.33 2(3(1(0(x1)))) -> 5(3(1(2(0(3(x1)))))) 19.26/5.33 2(4(1(0(x1)))) -> 2(1(4(0(0(3(x1)))))) 19.26/5.33 2(4(1(0(x1)))) -> 2(1(3(1(0(4(x1)))))) 19.26/5.33 4(2(5(0(x1)))) -> 4(2(0(3(5(5(x1)))))) 19.26/5.33 5(2(5(0(x1)))) -> 5(5(3(2(0(x1))))) 19.26/5.33 2(3(5(0(x1)))) -> 5(1(2(0(3(x1))))) 19.26/5.33 2(3(5(0(x1)))) -> 2(0(4(1(3(5(x1)))))) 19.26/5.33 4(3(0(1(x1)))) -> 3(1(4(0(1(x1))))) 19.26/5.33 2(3(5(1(x1)))) -> 2(5(3(1(3(x1))))) 19.26/5.33 2(1(0(5(x1)))) -> 2(1(4(0(5(1(x1)))))) 19.26/5.33 2(0(1(5(x1)))) -> 2(0(5(1(3(x1))))) 19.26/5.33 2(1(1(5(x1)))) -> 3(1(2(5(3(1(x1)))))) 19.26/5.33 2(5(1(5(x1)))) -> 2(5(5(3(1(x1))))) 19.26/5.33 2(3(1(0(0(x1))))) -> 3(0(2(1(3(0(x1)))))) 19.26/5.33 2(3(5(0(0(x1))))) -> 5(2(3(0(3(0(x1)))))) 19.26/5.33 4(3(0(1(0(x1))))) -> 3(0(3(1(0(4(x1)))))) 19.26/5.33 4(5(0(1(0(x1))))) -> 5(1(0(4(0(3(x1)))))) 19.26/5.33 4(4(2(1(0(x1))))) -> 4(1(2(1(4(0(x1)))))) 19.26/5.33 2(3(5(1(0(x1))))) -> 5(4(0(3(2(1(x1)))))) 19.26/5.33 4(2(4(5(0(x1))))) -> 2(4(0(3(5(4(x1)))))) 19.26/5.33 2(4(4(5(0(x1))))) -> 2(5(3(4(4(0(x1)))))) 19.26/5.33 4(3(1(0(1(x1))))) -> 3(0(3(1(1(4(x1)))))) 19.26/5.33 5(4(3(0(1(x1))))) -> 5(4(0(3(1(2(x1)))))) 19.26/5.33 2(4(3(1(1(x1))))) -> 4(1(3(1(5(2(x1)))))) 19.26/5.33 2(2(3(5(1(x1))))) -> 2(1(3(5(3(2(x1)))))) 19.26/5.33 4(2(5(0(5(x1))))) -> 2(4(0(5(1(5(x1)))))) 19.26/5.33 2(5(0(1(5(x1))))) -> 5(3(2(0(5(1(x1)))))) 19.26/5.33 1(2(1(1(5(x1))))) -> 1(1(5(2(1(3(x1)))))) 19.26/5.33 Bounds Processor: 19.26/5.33 bound: 1 19.26/5.33 enrichment: match 19.26/5.33 automaton: 19.26/5.33 final states: {186,184,179,174,169,165,160,156,151,146,141,137,135, 19.26/5.33 131,126,124,120,117,114,111,107,104,103,98,93,87,83, 19.26/5.34 82,79,74,69,65,62,59,53,49,46,44,41,38,34,30,27,23, 19.26/5.34 19,15,10,6,1} 19.26/5.34 transitions: 19.26/5.34 31(194) -> 195* 19.26/5.34 31(190) -> 191* 19.26/5.34 11(189) -> 190* 19.26/5.34 11(193) -> 194* 19.26/5.34 21(192) -> 193* 19.26/5.34 51(191) -> 192* 19.26/5.34 f60() -> 2* 19.26/5.34 20(45) -> 44* 19.26/5.34 20(40) -> 38* 19.26/5.34 20(25) -> 26* 19.26/5.34 20(5) -> 1* 19.26/5.34 20(92) -> 87* 19.26/5.34 20(52) -> 49* 19.26/5.34 20(37) -> 34* 19.26/5.34 20(2) -> 11* 19.26/5.34 20(159) -> 156* 19.26/5.34 20(119) -> 117* 19.26/5.34 20(99) -> 100* 19.26/5.34 20(64) -> 62* 19.26/5.34 20(121) -> 122* 19.26/5.34 20(116) -> 114* 19.26/5.34 20(106) -> 104* 19.26/5.34 20(96) -> 97* 19.26/5.34 20(86) -> 83* 19.26/5.34 20(61) -> 59* 19.26/5.34 20(21) -> 22* 19.26/5.34 20(16) -> 17* 19.26/5.34 20(183) -> 179* 19.26/5.34 20(178) -> 174* 19.26/5.34 20(143) -> 144* 19.26/5.34 20(133) -> 134* 19.26/5.34 20(128) -> 129* 19.26/5.34 20(113) -> 111* 19.26/5.34 20(78) -> 74* 19.26/5.34 20(58) -> 53* 19.26/5.34 20(48) -> 46* 19.26/5.34 20(43) -> 41* 19.26/5.34 20(33) -> 30* 19.26/5.34 20(8) -> 9* 19.26/5.34 20(3) -> 147* 19.26/5.34 20(155) -> 151* 19.26/5.34 20(125) -> 124* 19.26/5.34 20(80) -> 81* 19.26/5.34 00(60) -> 66* 19.26/5.34 00(20) -> 21* 19.26/5.34 00(127) -> 132* 19.26/5.34 00(77) -> 78* 19.26/5.34 00(67) -> 68* 19.26/5.34 00(47) -> 48* 19.26/5.34 00(42) -> 43* 19.26/5.34 00(7) -> 16* 19.26/5.34 00(2) -> 99* 19.26/5.34 00(129) -> 130* 19.26/5.34 00(54) -> 55* 19.26/5.34 00(39) -> 40* 19.26/5.34 00(24) -> 25* 19.26/5.34 00(9) -> 6* 19.26/5.34 00(4) -> 5* 19.26/5.34 00(181) -> 182* 19.26/5.34 00(166) -> 167* 19.26/5.34 00(91) -> 136* 19.26/5.34 00(81) -> 79* 19.26/5.34 00(71) -> 72* 19.26/5.34 00(51) -> 52* 19.26/5.34 00(16) -> 84* 19.26/5.34 00(11) -> 12* 19.26/5.34 00(163) -> 164* 19.26/5.34 00(153) -> 154* 19.26/5.34 00(148) -> 149* 19.26/5.34 00(138) -> 139* 19.26/5.34 00(118) -> 119* 19.26/5.34 00(88) -> 89* 19.26/5.34 00(73) -> 69* 19.26/5.34 00(68) -> 65* 19.26/5.34 00(3) -> 108* 19.26/5.34 00(105) -> 106* 19.26/5.34 00(95) -> 96* 19.26/5.34 30(75) -> 166* 19.26/5.34 30(70) -> 71* 19.26/5.34 30(50) -> 51* 19.26/5.34 30(35) -> 36* 19.26/5.34 30(162) -> 163* 19.26/5.34 30(157) -> 158* 19.26/5.34 30(152) -> 153* 19.26/5.34 30(147) -> 148* 19.26/5.34 30(132) -> 133* 19.26/5.34 30(72) -> 73* 19.26/5.34 30(42) -> 47* 19.26/5.34 30(7) -> 20* 19.26/5.34 30(2) -> 7* 19.26/5.34 30(164) -> 160* 19.26/5.34 30(99) -> 127* 19.26/5.34 30(94) -> 95* 19.26/5.34 30(54) -> 60* 19.26/5.34 30(39) -> 63* 19.26/5.34 30(29) -> 27* 19.26/5.34 30(14) -> 10* 19.26/5.34 30(4) -> 24* 19.26/5.34 30(176) -> 177* 19.26/5.34 30(171) -> 172* 19.26/5.34 30(136) -> 135* 19.26/5.34 30(76) -> 77* 19.26/5.34 30(56) -> 57* 19.26/5.34 30(31) -> 32* 19.26/5.34 30(26) -> 23* 19.26/5.34 30(11) -> 175* 19.26/5.34 30(123) -> 120* 19.26/5.34 30(38) -> 185* 19.26/5.34 30(18) -> 15* 19.26/5.34 30(13) -> 28* 19.26/5.34 30(8) -> 112* 19.26/5.34 30(3) -> 4* 19.26/5.34 30(130) -> 126* 19.26/5.34 30(110) -> 107* 19.26/5.34 30(100) -> 101* 19.26/5.34 30(90) -> 91* 19.26/5.34 10(75) -> 76* 19.26/5.34 10(60) -> 61* 19.26/5.34 10(35) -> 45* 19.26/5.34 10(187) -> 188* 19.26/5.34 10(177) -> 178* 19.26/5.34 10(172) -> 173* 19.26/5.34 10(142) -> 143* 19.26/5.34 10(127) -> 128* 19.26/5.34 10(122) -> 123* 19.26/5.34 10(57) -> 58* 19.26/5.34 10(47) -> 80* 19.26/5.34 10(32) -> 33* 19.26/5.34 10(22) -> 19* 19.26/5.34 10(17) -> 18* 19.26/5.34 10(7) -> 8* 19.26/5.34 10(2) -> 3* 19.26/5.34 10(144) -> 145* 19.26/5.34 10(139) -> 140* 19.26/5.34 10(109) -> 110* 19.26/5.34 10(89) -> 90* 19.26/5.34 10(54) -> 180* 19.26/5.34 10(161) -> 162* 19.26/5.34 10(91) -> 92* 19.26/5.34 10(36) -> 37* 19.26/5.34 10(16) -> 31* 19.26/5.34 10(11) -> 75* 19.26/5.34 10(188) -> 186* 19.26/5.34 10(88) -> 161* 19.26/5.34 10(63) -> 64* 19.26/5.34 10(28) -> 29* 19.26/5.34 10(13) -> 14* 19.26/5.34 10(3) -> 70* 19.26/5.34 10(170) -> 171* 19.26/5.34 10(115) -> 116* 19.26/5.34 10(85) -> 86* 19.26/5.34 40(55) -> 56* 19.26/5.34 40(40) -> 115* 19.26/5.34 40(182) -> 183* 19.26/5.34 40(167) -> 168* 19.26/5.34 40(142) -> 157* 19.26/5.34 40(97) -> 93* 19.26/5.34 40(12) -> 13* 19.26/5.34 40(2) -> 88* 19.26/5.34 40(154) -> 155* 19.26/5.34 40(149) -> 150* 19.26/5.34 40(99) -> 142* 19.26/5.34 40(84) -> 85* 19.26/5.34 40(66) -> 67* 19.26/5.34 40(61) -> 105* 19.26/5.34 40(16) -> 138* 19.26/5.34 40(173) -> 169* 19.26/5.34 40(108) -> 109* 19.26/5.34 40(145) -> 141* 19.26/5.34 50(15) -> 82* 19.26/5.34 50(112) -> 113* 19.26/5.34 50(102) -> 98* 19.26/5.34 50(7) -> 42* 19.26/5.34 50(2) -> 54* 19.26/5.34 50(134) -> 131* 19.26/5.34 50(54) -> 94* 19.26/5.34 50(39) -> 50* 19.26/5.34 50(9) -> 187* 19.26/5.34 50(4) -> 121* 19.26/5.34 50(121) -> 125* 19.26/5.34 50(101) -> 102* 19.26/5.34 50(16) -> 35* 19.26/5.34 50(11) -> 170* 19.26/5.34 50(168) -> 165* 19.26/5.34 50(158) -> 159* 19.26/5.34 50(88) -> 152* 19.26/5.34 50(18) -> 103* 19.26/5.34 50(8) -> 118* 19.26/5.34 50(3) -> 39* 19.26/5.34 50(185) -> 184* 19.26/5.34 50(180) -> 181* 19.26/5.34 50(175) -> 176* 19.26/5.34 50(150) -> 146* 19.26/5.34 50(140) -> 137* 19.26/5.34 1 -> 11,147 19.26/5.34 6 -> 11,147 19.26/5.34 9 -> 189* 19.26/5.34 10 -> 11,147 19.26/5.34 15 -> 11,147 19.26/5.34 19 -> 11,147 19.26/5.34 23 -> 11,147 19.26/5.34 27 -> 11,147 19.26/5.34 30 -> 11,147 19.26/5.34 34 -> 11,147 19.26/5.34 38 -> 11* 19.26/5.34 41 -> 11* 19.26/5.34 44 -> 54,170,11 19.26/5.34 46 -> 11* 19.26/5.34 49 -> 11* 19.26/5.34 53 -> 11* 19.26/5.34 59 -> 11* 19.26/5.34 62 -> 11* 19.26/5.34 65 -> 88* 19.26/5.34 69 -> 3* 19.26/5.34 74 -> 11,147 19.26/5.34 79 -> 54,170 19.26/5.34 82 -> 11* 19.26/5.34 83 -> 11* 19.26/5.34 87 -> 11* 19.26/5.34 93 -> 88* 19.26/5.34 98 -> 54,170 19.26/5.34 103 -> 11* 19.26/5.34 104 -> 11* 19.26/5.34 107 -> 88* 19.26/5.34 111 -> 11* 19.26/5.34 114 -> 11,147 19.26/5.34 117 -> 11,100 19.26/5.34 120 -> 11,147 19.26/5.34 124 -> 11* 19.26/5.34 126 -> 11* 19.26/5.34 131 -> 11* 19.26/5.34 135 -> 88* 19.26/5.34 137 -> 88* 19.26/5.34 141 -> 88* 19.26/5.34 146 -> 11* 19.26/5.34 151 -> 88* 19.26/5.34 156 -> 11* 19.26/5.34 160 -> 88* 19.26/5.34 165 -> 54,152 19.26/5.34 169 -> 11* 19.26/5.34 174 -> 11* 19.26/5.34 176 -> 11* 19.26/5.34 179 -> 88* 19.26/5.34 186 -> 3,75 19.26/5.34 195 -> 147* 19.26/5.34 problem: 19.26/5.34 19.26/5.34 Qed 19.26/5.34 EOF