34.63/9.28 YES 34.63/9.29 34.63/9.29 Problem: 34.63/9.29 0(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 34.63/9.29 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 34.63/9.29 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 34.63/9.29 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 34.63/9.29 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 34.63/9.29 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 34.63/9.29 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 34.63/9.29 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 34.63/9.29 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 34.63/9.29 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 34.63/9.29 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 34.63/9.29 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 34.63/9.29 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 34.63/9.29 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 34.63/9.29 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 34.63/9.29 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 34.63/9.29 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 34.63/9.29 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 34.63/9.29 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 34.63/9.29 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 34.63/9.29 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 34.63/9.29 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 34.63/9.29 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 34.63/9.29 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 34.63/9.29 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 34.63/9.29 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 34.63/9.29 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 34.63/9.29 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 34.63/9.29 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 34.63/9.29 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 34.63/9.29 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 34.63/9.29 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 34.63/9.29 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 34.63/9.29 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 34.63/9.29 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 34.63/9.29 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 34.63/9.29 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 34.63/9.29 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 34.63/9.29 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 34.63/9.29 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 34.63/9.29 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 34.63/9.29 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 34.63/9.29 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 34.63/9.29 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 34.63/9.29 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 34.63/9.29 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 34.63/9.29 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 34.63/9.29 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 34.63/9.29 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 34.63/9.29 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(x1)))))) 34.63/9.29 34.63/9.29 Proof: 34.63/9.29 String Reversal Processor: 34.63/9.29 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 34.63/9.29 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 34.63/9.29 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 34.63/9.29 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 34.63/9.29 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) 34.63/9.29 4(0(1(0(x1)))) -> 0(5(0(1(3(4(x1)))))) 34.63/9.29 4(0(1(0(x1)))) -> 0(1(3(4(0(5(x1)))))) 34.63/9.29 5(0(1(0(x1)))) -> 0(0(1(3(5(3(x1)))))) 34.63/9.29 5(0(1(0(x1)))) -> 2(0(0(1(3(5(x1)))))) 34.63/9.29 2(4(1(0(x1)))) -> 0(4(1(3(2(x1))))) 34.63/9.29 2(4(1(0(x1)))) -> 4(2(1(3(0(4(x1)))))) 34.63/9.29 2(4(1(0(x1)))) -> 2(0(1(1(3(4(x1)))))) 34.63/9.29 4(0(5(0(x1)))) -> 5(3(0(0(4(x1))))) 34.63/9.29 4(0(5(0(x1)))) -> 4(3(0(0(5(x1))))) 34.63/9.29 5(0(5(0(x1)))) -> 5(0(0(2(5(3(x1)))))) 34.63/9.29 5(0(5(0(x1)))) -> 0(0(4(5(3(5(x1)))))) 34.63/9.29 5(0(5(0(x1)))) -> 0(0(4(3(5(5(x1)))))) 34.63/9.29 2(1(0(2(x1)))) -> 2(1(4(2(0(x1))))) 34.63/9.29 2(1(0(2(x1)))) -> 1(2(2(0(5(2(x1)))))) 34.63/9.29 2(1(0(2(x1)))) -> 0(2(2(3(1(3(x1)))))) 34.63/9.29 2(4(0(2(x1)))) -> 1(2(2(0(4(x1))))) 34.63/9.29 2(4(0(2(x1)))) -> 1(2(1(2(0(4(x1)))))) 34.63/9.29 2(5(0(2(x1)))) -> 2(2(5(1(2(0(x1)))))) 34.63/9.29 2(4(0(3(x1)))) -> 2(1(1(4(3(0(x1)))))) 34.63/9.29 2(4(0(3(x1)))) -> 2(0(1(3(3(4(x1)))))) 34.63/9.29 2(2(1(0(0(x1))))) -> 1(2(1(2(0(0(x1)))))) 34.63/9.29 2(3(1(0(0(x1))))) -> 4(0(2(1(3(0(x1)))))) 34.63/9.29 2(3(1(0(0(x1))))) -> 0(1(3(0(5(2(x1)))))) 34.63/9.29 2(2(5(0(0(x1))))) -> 1(2(5(2(0(0(x1)))))) 34.63/9.29 2(5(0(1(0(x1))))) -> 5(3(0(1(2(0(x1)))))) 34.63/9.29 5(5(0(1(0(x1))))) -> 5(0(0(5(3(1(x1)))))) 34.63/9.29 5(0(2(1(0(x1))))) -> 0(1(2(5(0(4(x1)))))) 34.63/9.29 4(0(3(1(0(x1))))) -> 0(4(4(3(0(1(x1)))))) 34.63/9.29 2(4(3(1(0(x1))))) -> 4(3(0(1(2(4(x1)))))) 34.63/9.29 2(2(4(1(0(x1))))) -> 2(4(2(0(1(1(x1)))))) 34.63/9.29 4(2(4(1(0(x1))))) -> 4(1(3(2(0(4(x1)))))) 34.63/9.29 2(3(4(1(0(x1))))) -> 4(4(0(2(1(3(x1)))))) 34.63/9.29 5(0(0(3(0(x1))))) -> 0(0(0(1(3(5(x1)))))) 34.63/9.29 4(0(1(4(0(x1))))) -> 0(4(1(2(0(4(x1)))))) 34.63/9.29 2(2(3(4(0(x1))))) -> 2(5(3(0(2(4(x1)))))) 34.63/9.29 4(0(1(5(0(x1))))) -> 0(0(1(4(2(5(x1)))))) 34.63/9.29 2(4(1(5(0(x1))))) -> 2(1(5(3(0(4(x1)))))) 34.63/9.29 2(1(0(1(2(x1))))) -> 3(2(0(1(1(2(x1)))))) 34.63/9.29 2(5(0(4(2(x1))))) -> 2(5(3(2(4(0(x1)))))) 34.63/9.29 2(1(0(0(3(x1))))) -> 2(0(1(5(3(0(x1)))))) 34.63/9.29 2(5(0(0(3(x1))))) -> 1(5(3(0(0(2(x1)))))) 34.63/9.29 2(4(5(0(3(x1))))) -> 1(2(5(3(0(4(x1)))))) 34.63/9.29 2(1(0(2(3(x1))))) -> 2(0(1(3(1(2(x1)))))) 34.63/9.30 2(5(0(2(3(x1))))) -> 5(4(3(2(0(2(x1)))))) 34.63/9.30 2(5(0(2(3(x1))))) -> 2(2(2(0(3(5(x1)))))) 34.63/9.30 Bounds Processor: 34.63/9.30 bound: 1 34.63/9.30 enrichment: match 34.63/9.30 automaton: 34.63/9.30 final states: {201,197,193,191,186,182,177,172,169,164,160,158,157, 34.63/9.30 153,150,145,140,135,131,125,122,119,116,112,109,105, 34.63/9.30 100,96,93,90,86,81,77,72,68,64,61,58,55,50,48,43,38, 34.63/9.30 32,26,21,18,12,7,1} 34.63/9.30 transitions: 34.63/9.30 41(227) -> 228* 34.63/9.30 41(231) -> 232* 34.63/9.30 41(205) -> 206* 34.63/9.30 31(226) -> 227* 34.63/9.30 31(208) -> 209* 34.63/9.30 01(207) -> 208* 34.63/9.30 01(224) -> 225* 34.63/9.30 01(206) -> 207* 34.63/9.30 01(225) -> 226* 34.63/9.30 51(209) -> 210* 34.63/9.30 51(233) -> 234* 34.63/9.30 51(223) -> 224* 34.63/9.30 f60() -> 2* 34.63/9.30 00(75) -> 76* 34.63/9.30 00(70) -> 71* 34.63/9.30 00(65) -> 66* 34.63/9.30 00(45) -> 46* 34.63/9.30 00(20) -> 18* 34.63/9.30 00(10) -> 11* 34.63/9.30 00(5) -> 6* 34.63/9.30 00(187) -> 188* 34.63/9.30 00(167) -> 168* 34.63/9.30 00(142) -> 143* 34.63/9.30 00(107) -> 108* 34.63/9.30 00(97) -> 123* 34.63/9.30 00(82) -> 83* 34.63/9.30 00(47) -> 157* 34.63/9.30 00(42) -> 38* 34.63/9.30 00(37) -> 32* 34.63/9.30 00(27) -> 51* 34.63/9.30 00(22) -> 23* 34.63/9.30 00(2) -> 13* 34.63/9.30 00(184) -> 185* 34.63/9.30 00(174) -> 175* 34.63/9.30 00(159) -> 158* 34.63/9.30 00(154) -> 155* 34.63/9.30 00(139) -> 135* 34.63/9.30 00(134) -> 131* 34.63/9.30 00(129) -> 130* 34.63/9.30 00(114) -> 115* 34.63/9.30 00(89) -> 86* 34.63/9.30 00(49) -> 48* 34.63/9.30 00(44) -> 202* 34.63/9.30 00(34) -> 62* 34.63/9.30 00(29) -> 30* 34.63/9.30 00(19) -> 20* 34.63/9.30 00(9) -> 10* 34.63/9.30 00(146) -> 147* 34.63/9.30 00(141) -> 161* 34.63/9.30 00(126) -> 136* 34.63/9.30 00(76) -> 72* 34.63/9.30 00(71) -> 68* 34.63/9.30 00(66) -> 67* 34.63/9.30 00(56) -> 57* 34.63/9.30 00(51) -> 59* 34.63/9.30 00(46) -> 47* 34.63/9.30 00(41) -> 42* 34.63/9.30 00(31) -> 26* 34.63/9.30 00(6) -> 1* 34.63/9.30 00(168) -> 164* 34.63/9.30 00(128) -> 129* 34.63/9.30 00(118) -> 116* 34.63/9.30 00(33) -> 34* 34.63/9.30 00(23) -> 24* 34.63/9.30 00(13) -> 14* 34.63/9.30 00(3) -> 187* 34.63/9.30 00(195) -> 196* 34.63/9.30 10(40) -> 41* 34.63/9.30 10(25) -> 21* 34.63/9.30 10(15) -> 110* 34.63/9.30 10(192) -> 191* 34.63/9.30 10(117) -> 118* 34.63/9.30 10(102) -> 103* 34.63/9.30 10(92) -> 90* 34.63/9.30 10(52) -> 53* 34.63/9.30 10(17) -> 12* 34.63/9.30 10(2) -> 126* 34.63/9.30 10(194) -> 195* 34.63/9.30 10(79) -> 80* 34.63/9.30 10(44) -> 45* 34.63/9.30 10(29) -> 56* 34.63/9.30 10(4) -> 5* 34.63/9.30 10(166) -> 167* 34.63/9.30 10(151) -> 152* 34.63/9.30 10(141) -> 142* 34.63/9.30 10(126) -> 146* 34.63/9.30 10(121) -> 119* 34.63/9.30 10(111) -> 109* 34.63/9.30 10(106) -> 107* 34.63/9.30 10(101) -> 113* 34.63/9.30 10(91) -> 94* 34.63/9.30 10(36) -> 37* 34.63/9.30 10(16) -> 17* 34.63/9.30 10(183) -> 184* 34.63/9.30 10(173) -> 174* 34.63/9.30 10(133) -> 134* 34.63/9.30 10(103) -> 104* 34.63/9.30 10(78) -> 97* 34.63/9.30 10(28) -> 29* 34.63/9.30 10(8) -> 9* 34.63/9.30 10(3) -> 173* 34.63/9.30 10(190) -> 186* 34.63/9.30 10(170) -> 171* 34.63/9.30 10(95) -> 93* 34.63/9.30 10(85) -> 81* 34.63/9.30 30(35) -> 36* 34.63/9.30 30(15) -> 16* 34.63/9.30 30(62) -> 63* 34.63/9.30 30(27) -> 28* 34.63/9.30 30(2) -> 8* 34.63/9.30 30(179) -> 180* 34.63/9.30 30(59) -> 60* 34.63/9.30 30(39) -> 40* 34.63/9.30 30(24) -> 25* 34.63/9.30 30(9) -> 87* 34.63/9.30 30(176) -> 172* 34.63/9.30 30(161) -> 162* 34.63/9.30 30(136) -> 137* 34.63/9.30 30(126) -> 127* 34.63/9.30 30(91) -> 151* 34.63/9.30 30(51) -> 52* 34.63/9.30 30(198) -> 199* 34.63/9.30 30(188) -> 189* 34.63/9.30 30(173) -> 194* 34.63/9.30 30(143) -> 144* 34.63/9.30 30(123) -> 124* 34.63/9.30 30(83) -> 117* 34.63/9.30 30(73) -> 74* 34.63/9.30 30(33) -> 44* 34.63/9.30 30(28) -> 106* 34.63/9.30 30(13) -> 101* 34.63/9.30 30(3) -> 4* 34.63/9.30 20(80) -> 77* 34.63/9.30 20(202) -> 203* 34.63/9.30 20(187) -> 198* 34.63/9.30 20(147) -> 148* 34.63/9.30 20(132) -> 133* 34.63/9.30 20(87) -> 88* 34.63/9.30 20(57) -> 55* 34.63/9.30 20(47) -> 43* 34.63/9.30 20(27) -> 141* 34.63/9.30 20(204) -> 201* 34.63/9.30 20(2) -> 3* 34.63/9.30 20(149) -> 145* 34.63/9.30 20(104) -> 100* 34.63/9.30 20(99) -> 96* 34.63/9.30 20(94) -> 95* 34.63/9.30 20(84) -> 85* 34.63/9.30 20(39) -> 65* 34.63/9.30 20(14) -> 15* 34.63/9.30 20(9) -> 154* 34.63/9.30 20(196) -> 193* 34.63/9.30 20(181) -> 177* 34.63/9.30 20(171) -> 169* 34.63/9.30 20(91) -> 92* 34.63/9.30 20(51) -> 91* 34.63/9.30 20(11) -> 7* 34.63/9.30 20(203) -> 204* 34.63/9.30 20(178) -> 179* 34.63/9.30 20(163) -> 160* 34.63/9.30 20(113) -> 114* 34.63/9.30 20(108) -> 105* 34.63/9.30 20(98) -> 99* 34.63/9.30 20(88) -> 89* 34.63/9.30 20(83) -> 84* 34.63/9.30 20(53) -> 54* 34.63/9.30 20(33) -> 165* 34.63/9.30 20(13) -> 78* 34.63/9.30 20(185) -> 182* 34.63/9.30 20(175) -> 176* 34.63/9.30 20(170) -> 192* 34.63/9.30 20(120) -> 121* 34.63/9.30 20(110) -> 111* 34.63/9.30 40(5) -> 49* 34.63/9.30 40(152) -> 150* 34.63/9.30 40(137) -> 138* 34.63/9.30 40(2) -> 27* 34.63/9.30 40(199) -> 200* 34.63/9.30 40(144) -> 140* 34.63/9.30 40(94) -> 159* 34.63/9.30 40(74) -> 75* 34.63/9.30 40(69) -> 70* 34.63/9.30 40(54) -> 50* 34.63/9.30 40(34) -> 35* 34.63/9.30 40(9) -> 19* 34.63/9.30 40(156) -> 153* 34.63/9.30 40(101) -> 102* 34.63/9.30 40(148) -> 149* 34.63/9.30 40(138) -> 139* 34.63/9.30 40(78) -> 79* 34.63/9.30 40(63) -> 61* 34.63/9.30 40(13) -> 178* 34.63/9.30 40(8) -> 22* 34.63/9.30 40(165) -> 166* 34.63/9.30 40(155) -> 156* 34.63/9.30 40(115) -> 112* 34.63/9.30 50(60) -> 58* 34.63/9.30 50(30) -> 31* 34.63/9.30 50(15) -> 120* 34.63/9.30 50(162) -> 163* 34.63/9.30 50(127) -> 128* 34.63/9.30 50(97) -> 98* 34.63/9.30 50(67) -> 64* 34.63/9.30 50(52) -> 170* 34.63/9.30 50(2) -> 33* 34.63/9.30 50(189) -> 190* 34.63/9.30 50(124) -> 122* 34.63/9.30 50(44) -> 69* 34.63/9.30 50(101) -> 183* 34.63/9.30 50(51) -> 132* 34.63/9.30 50(33) -> 73* 34.63/9.30 50(8) -> 39* 34.63/9.30 50(3) -> 82* 34.63/9.30 50(200) -> 197* 34.63/9.30 50(180) -> 181* 34.63/9.30 50(130) -> 125* 34.63/9.30 1 -> 3* 34.63/9.30 7 -> 3* 34.63/9.30 12 -> 3* 34.63/9.30 18 -> 27,178 34.63/9.30 21 -> 27,178 34.63/9.30 26 -> 27,178 34.63/9.30 32 -> 27,178 34.63/9.30 38 -> 33* 34.63/9.30 43 -> 33* 34.63/9.30 48 -> 3,141 34.63/9.30 50 -> 3,141 34.63/9.30 55 -> 3,141 34.63/9.30 58 -> 27,178,35 34.63/9.30 61 -> 27,178,35 34.63/9.30 64 -> 33* 34.63/9.30 66 -> 223,205 34.63/9.30 68 -> 33* 34.63/9.30 72 -> 33* 34.63/9.30 77 -> 3* 34.63/9.30 81 -> 3* 34.63/9.30 86 -> 3* 34.63/9.30 90 -> 3,141,179 34.63/9.30 93 -> 3,141,179 34.63/9.30 96 -> 3,165 34.63/9.30 100 -> 3,141,179 34.63/9.30 105 -> 3,141,179 34.63/9.30 109 -> 3* 34.63/9.30 112 -> 3* 34.63/9.30 116 -> 3* 34.63/9.30 119 -> 3* 34.63/9.30 122 -> 3,165 34.63/9.30 125 -> 33,73 34.63/9.30 129 -> 233,231 34.63/9.30 131 -> 33* 34.63/9.30 135 -> 27,178 34.63/9.30 140 -> 3,141 34.63/9.30 145 -> 3* 34.63/9.30 150 -> 27* 34.63/9.30 153 -> 3* 34.63/9.30 157 -> 33* 34.63/9.30 158 -> 27,178 34.63/9.30 160 -> 3* 34.63/9.30 164 -> 27,178 34.63/9.30 169 -> 3,141 34.63/9.30 172 -> 3* 34.63/9.30 177 -> 3,165,133 34.63/9.30 182 -> 3* 34.63/9.30 186 -> 3,165 34.63/9.30 191 -> 3,141 34.63/9.30 193 -> 3* 34.63/9.30 197 -> 3,165 34.63/9.30 201 -> 3,165 34.63/9.30 210 -> 35* 34.63/9.30 228 -> 35* 34.63/9.30 232 -> 206* 34.63/9.30 234 -> 224* 34.63/9.30 problem: 34.63/9.30 34.63/9.30 Qed 34.63/9.30 EOF