12.78/3.72 YES 12.78/3.73 12.78/3.73 Problem: 12.78/3.73 1(2(0(x1))) -> 4(0(3(3(5(4(5(1(4(3(x1)))))))))) 12.78/3.73 1(0(0(4(5(x1))))) -> 1(4(3(1(3(1(4(5(2(3(x1)))))))))) 12.78/3.73 2(0(3(0(2(x1))))) -> 3(3(1(2(2(4(5(0(4(3(x1)))))))))) 12.78/3.73 2(1(0(1(0(x1))))) -> 3(5(4(5(4(3(3(1(1(2(x1)))))))))) 12.78/3.73 3(4(2(0(2(x1))))) -> 3(5(3(0(3(3(2(5(3(2(x1)))))))))) 12.78/3.73 0(3(5(2(4(0(x1)))))) -> 4(4(0(2(3(2(2(5(3(2(x1)))))))))) 12.78/3.73 1(1(2(0(4(5(x1)))))) -> 3(0(5(4(2(1(0(2(3(3(x1)))))))))) 12.78/3.73 2(1(1(0(1(2(x1)))))) -> 3(4(4(1(3(2(2(2(5(5(x1)))))))))) 12.78/3.73 2(2(0(1(1(1(x1)))))) -> 2(3(4(1(5(2(2(2(5(4(x1)))))))))) 12.78/3.73 2(4(1(0(4(2(x1)))))) -> 1(5(1(3(2(3(4(4(4(0(x1)))))))))) 12.78/3.73 2(4(2(1(1(1(x1)))))) -> 1(3(5(4(3(4(3(1(4(4(x1)))))))))) 12.78/3.73 3(0(1(0(0(2(x1)))))) -> 2(4(2(5(3(5(0(3(3(2(x1)))))))))) 12.78/3.73 3(0(1(1(1(1(x1)))))) -> 3(2(2(4(4(5(2(4(5(1(x1)))))))))) 12.78/3.73 4(1(1(2(0(2(x1)))))) -> 4(0(3(4(4(4(2(3(2(3(x1)))))))))) 12.78/3.73 0(2(1(1(1(1(0(x1))))))) -> 0(1(5(5(3(5(2(5(5(5(x1)))))))))) 12.78/3.73 0(2(4(1(1(1(5(x1))))))) -> 4(4(3(4(3(2(3(0(2(2(x1)))))))))) 12.78/3.73 0(4(2(0(0(4(1(x1))))))) -> 4(2(5(4(1(0(4(3(3(1(x1)))))))))) 12.78/3.73 0(4(3(0(5(4(1(x1))))))) -> 0(3(1(5(3(1(2(5(4(1(x1)))))))))) 12.78/3.73 1(0(5(2(2(0(0(x1))))))) -> 1(5(4(4(3(4(5(4(5(2(x1)))))))))) 12.78/3.73 1(1(3(4(5(0(0(x1))))))) -> 1(3(1(5(3(4(1(4(5(3(x1)))))))))) 12.78/3.73 1(4(3(1(5(0(5(x1))))))) -> 5(0(3(3(2(4(1(3(3(2(x1)))))))))) 12.78/3.73 1(5(0(2(0(5(5(x1))))))) -> 2(5(2(5(4(2(0(0(5(5(x1)))))))))) 12.78/3.73 2(0(1(5(2(0(5(x1))))))) -> 4(3(3(5(5(3(1(3(5(5(x1)))))))))) 12.78/3.73 2(4(0(5(4(1(4(x1))))))) -> 3(4(5(5(1(5(3(5(1(4(x1)))))))))) 12.78/3.73 3(4(1(4(0(4(5(x1))))))) -> 3(2(2(1(3(4(3(3(0(3(x1)))))))))) 12.78/3.73 4(1(0(4(2(0(0(x1))))))) -> 4(2(2(3(1(0(0(3(4(0(x1)))))))))) 12.78/3.73 4(1(0(4(2(0(3(x1))))))) -> 0(4(3(0(0(1(5(4(3(2(x1)))))))))) 12.78/3.73 4(1(1(1(0(1(2(x1))))))) -> 3(3(2(3(3(0(1(5(5(2(x1)))))))))) 12.78/3.73 12.78/3.73 Proof: 12.78/3.73 String Reversal Processor: 12.78/3.73 0(2(1(x1))) -> 3(4(1(5(4(5(3(3(0(4(x1)))))))))) 12.78/3.73 5(4(0(0(1(x1))))) -> 3(2(5(4(1(3(1(3(4(1(x1)))))))))) 12.78/3.73 2(0(3(0(2(x1))))) -> 3(4(0(5(4(2(2(1(3(3(x1)))))))))) 12.78/3.73 0(1(0(1(2(x1))))) -> 2(1(1(3(3(4(5(4(5(3(x1)))))))))) 12.78/3.73 2(0(2(4(3(x1))))) -> 2(3(5(2(3(3(0(3(5(3(x1)))))))))) 12.78/3.73 0(4(2(5(3(0(x1)))))) -> 2(3(5(2(2(3(2(0(4(4(x1)))))))))) 12.78/3.73 5(4(0(2(1(1(x1)))))) -> 3(3(2(0(1(2(4(5(0(3(x1)))))))))) 12.78/3.73 2(1(0(1(1(2(x1)))))) -> 5(5(2(2(2(3(1(4(4(3(x1)))))))))) 12.78/3.73 1(1(1(0(2(2(x1)))))) -> 4(5(2(2(2(5(1(4(3(2(x1)))))))))) 12.78/3.73 2(4(0(1(4(2(x1)))))) -> 0(4(4(4(3(2(3(1(5(1(x1)))))))))) 12.78/3.73 1(1(1(2(4(2(x1)))))) -> 4(4(1(3(4(3(4(5(3(1(x1)))))))))) 12.78/3.73 2(0(0(1(0(3(x1)))))) -> 2(3(3(0(5(3(5(2(4(2(x1)))))))))) 12.78/3.73 1(1(1(1(0(3(x1)))))) -> 1(5(4(2(5(4(4(2(2(3(x1)))))))))) 12.78/3.73 2(0(2(1(1(4(x1)))))) -> 3(2(3(2(4(4(4(3(0(4(x1)))))))))) 12.78/3.73 0(1(1(1(1(2(0(x1))))))) -> 5(5(5(2(5(3(5(5(1(0(x1)))))))))) 12.78/3.73 5(1(1(1(4(2(0(x1))))))) -> 2(2(0(3(2(3(4(3(4(4(x1)))))))))) 12.78/3.73 1(4(0(0(2(4(0(x1))))))) -> 1(3(3(4(0(1(4(5(2(4(x1)))))))))) 12.78/3.73 1(4(5(0(3(4(0(x1))))))) -> 1(4(5(2(1(3(5(1(3(0(x1)))))))))) 12.78/3.73 0(0(2(2(5(0(1(x1))))))) -> 2(5(4(5(4(3(4(4(5(1(x1)))))))))) 12.78/3.73 0(0(5(4(3(1(1(x1))))))) -> 3(5(4(1(4(3(5(1(3(1(x1)))))))))) 12.78/3.73 5(0(5(1(3(4(1(x1))))))) -> 2(3(3(1(4(2(3(3(0(5(x1)))))))))) 12.78/3.73 5(5(0(2(0(5(1(x1))))))) -> 5(5(0(0(2(4(5(2(5(2(x1)))))))))) 12.78/3.73 5(0(2(5(1(0(2(x1))))))) -> 5(5(3(1(3(5(5(3(3(4(x1)))))))))) 12.78/3.73 4(1(4(5(0(4(2(x1))))))) -> 4(1(5(3(5(1(5(5(4(3(x1)))))))))) 12.78/3.73 5(4(0(4(1(4(3(x1))))))) -> 3(0(3(3(4(3(1(2(2(3(x1)))))))))) 12.78/3.73 0(0(2(4(0(1(4(x1))))))) -> 0(4(3(0(0(1(3(2(2(4(x1)))))))))) 12.78/3.73 3(0(2(4(0(1(4(x1))))))) -> 2(3(4(5(1(0(0(3(4(0(x1)))))))))) 12.78/3.73 2(1(0(1(1(1(4(x1))))))) -> 2(5(5(1(0(3(3(2(3(3(x1)))))))))) 12.78/3.73 Bounds Processor: 12.78/3.73 bound: 0 12.78/3.73 enrichment: match 12.78/3.73 automaton: 12.78/3.73 final states: {241,232,224,217,209,200,191,181,173,165,156,147,139, 12.78/3.73 129,122,113,104,95,86,76,67,58,49,41,32,22,12,1} 12.78/3.73 transitions: 12.78/3.73 f60() -> 2* 12.78/3.73 30(70) -> 71* 12.78/3.73 30(65) -> 66* 12.78/3.73 30(50) -> 140* 12.78/3.73 30(242) -> 243* 12.78/3.73 30(5) -> 6* 12.78/3.73 30(167) -> 168* 12.78/3.73 30(107) -> 108* 12.78/3.73 30(77) -> 78* 12.78/3.73 30(52) -> 53* 12.78/3.73 30(47) -> 48* 12.78/3.73 30(239) -> 240* 12.78/3.73 30(37) -> 38* 12.78/3.73 30(229) -> 230* 12.78/3.73 30(204) -> 205* 12.78/3.73 30(2) -> 23* 12.78/3.73 30(189) -> 190* 12.78/3.73 30(184) -> 185* 12.78/3.73 30(159) -> 160* 12.78/3.73 30(154) -> 155* 12.78/3.73 30(44) -> 45* 12.78/3.73 30(221) -> 222* 12.78/3.73 30(14) -> 15* 12.78/3.73 30(206) -> 207* 12.78/3.73 30(4) -> 5* 12.78/3.73 30(201) -> 202* 12.78/3.73 30(141) -> 142* 12.78/3.73 30(126) -> 127* 12.78/3.73 30(111) -> 112* 12.78/3.73 30(66) -> 58* 12.78/3.73 30(56) -> 57* 12.78/3.73 30(243) -> 244* 12.78/3.73 30(36) -> 37* 12.78/3.73 30(233) -> 234* 12.78/3.73 30(31) -> 22* 12.78/3.73 30(223) -> 217* 12.78/3.73 30(21) -> 12* 12.78/3.73 30(218) -> 219* 12.78/3.73 30(16) -> 17* 12.78/3.73 30(213) -> 214* 12.78/3.73 30(11) -> 1* 12.78/3.73 30(188) -> 189* 12.78/3.73 30(183) -> 184* 12.78/3.73 30(153) -> 154* 12.78/3.73 30(143) -> 144* 12.78/3.73 30(133) -> 134* 12.78/3.73 30(128) -> 122* 12.78/3.73 30(98) -> 99* 12.78/3.73 30(88) -> 89* 12.78/3.73 30(43) -> 44* 12.78/3.73 30(33) -> 42* 12.78/3.73 30(225) -> 226* 12.78/3.73 30(23) -> 24* 12.78/3.73 30(220) -> 221* 12.78/3.73 30(13) -> 96* 12.78/3.73 30(3) -> 201* 12.78/3.73 30(180) -> 173* 12.78/3.73 30(175) -> 176* 12.78/3.73 30(130) -> 157* 12.78/3.73 30(110) -> 111* 12.78/3.73 30(100) -> 101* 12.78/3.73 30(90) -> 91* 12.78/3.73 40(60) -> 61* 12.78/3.73 40(35) -> 36* 12.78/3.73 40(30) -> 31* 12.78/3.73 40(10) -> 11* 12.78/3.73 40(5) -> 123* 12.78/3.73 40(152) -> 153* 12.78/3.73 40(102) -> 103* 12.78/3.73 40(97) -> 98* 12.78/3.73 40(92) -> 93* 12.78/3.73 40(87) -> 166* 12.78/3.73 40(77) -> 105* 12.78/3.73 40(27) -> 28* 12.78/3.73 40(219) -> 220* 12.78/3.73 40(7) -> 8* 12.78/3.73 40(2) -> 3* 12.78/3.73 40(194) -> 195* 12.78/3.73 40(149) -> 150* 12.78/3.73 40(124) -> 125* 12.78/3.73 40(119) -> 120* 12.78/3.73 40(99) -> 100* 12.78/3.73 40(216) -> 209* 12.78/3.73 40(186) -> 187* 12.78/3.73 40(176) -> 177* 12.78/3.73 40(166) -> 167* 12.78/3.73 40(116) -> 117* 12.78/3.73 40(91) -> 92* 12.78/3.73 40(238) -> 239* 12.78/3.73 40(178) -> 179* 12.78/3.73 40(168) -> 169* 12.78/3.73 40(163) -> 164* 12.78/3.73 40(123) -> 124* 12.78/3.73 40(103) -> 95* 12.78/3.73 40(93) -> 94* 12.78/3.73 40(78) -> 79* 12.78/3.73 40(68) -> 69* 12.78/3.73 40(33) -> 34* 12.78/3.73 40(230) -> 231* 12.78/3.73 40(23) -> 68* 12.78/3.73 40(18) -> 19* 12.78/3.73 40(13) -> 14* 12.78/3.73 40(3) -> 50* 12.78/3.73 40(170) -> 171* 12.78/3.73 40(140) -> 141* 12.78/3.73 40(130) -> 233* 12.78/3.73 40(115) -> 116* 12.78/3.73 40(85) -> 76* 12.78/3.73 10(15) -> 16* 12.78/3.73 10(187) -> 188* 12.78/3.73 10(177) -> 178* 12.78/3.73 10(157) -> 158* 12.78/3.73 10(87) -> 88* 12.78/3.73 10(62) -> 63* 12.78/3.73 10(17) -> 18* 12.78/3.73 10(2) -> 13* 12.78/3.73 10(164) -> 156* 12.78/3.73 10(79) -> 80* 12.78/3.73 10(69) -> 70* 12.78/3.73 10(39) -> 40* 12.78/3.73 10(236) -> 237* 12.78/3.73 10(226) -> 227* 12.78/3.73 10(24) -> 25* 12.78/3.73 10(211) -> 212* 12.78/3.73 10(9) -> 10* 12.78/3.73 10(121) -> 113* 12.78/3.73 10(101) -> 102* 12.78/3.73 10(96) -> 174* 12.78/3.73 10(245) -> 246* 12.78/3.73 10(38) -> 39* 12.78/3.73 10(215) -> 216* 12.78/3.73 10(205) -> 206* 12.78/3.73 10(160) -> 161* 12.78/3.73 10(155) -> 147* 12.78/3.73 10(150) -> 151* 12.78/3.73 10(130) -> 131* 12.78/3.73 10(115) -> 218* 12.78/3.73 50(80) -> 81* 12.78/3.73 50(75) -> 67* 12.78/3.73 50(55) -> 56* 12.78/3.73 50(247) -> 248* 12.78/3.73 50(237) -> 238* 12.78/3.73 50(212) -> 213* 12.78/3.73 50(207) -> 208* 12.78/3.73 50(202) -> 203* 12.78/3.73 50(162) -> 163* 12.78/3.73 50(137) -> 138* 12.78/3.73 50(132) -> 133* 12.78/3.73 50(117) -> 118* 12.78/3.73 50(77) -> 192* 12.78/3.73 50(214) -> 215* 12.78/3.73 50(2) -> 182* 12.78/3.73 50(199) -> 191* 12.78/3.73 50(179) -> 180* 12.78/3.73 50(174) -> 175* 12.78/3.73 50(169) -> 170* 12.78/3.73 50(134) -> 135* 12.78/3.73 50(84) -> 85* 12.78/3.73 50(74) -> 75* 12.78/3.73 50(59) -> 60* 12.78/3.73 50(246) -> 247* 12.78/3.73 50(34) -> 35* 12.78/3.73 50(19) -> 20* 12.78/3.73 50(171) -> 172* 12.78/3.73 50(136) -> 137* 12.78/3.73 50(131) -> 132* 12.78/3.73 50(106) -> 107* 12.78/3.73 50(96) -> 97* 12.78/3.73 50(46) -> 47* 12.78/3.73 50(208) -> 200* 12.78/3.73 50(6) -> 7* 12.78/3.73 50(203) -> 204* 12.78/3.73 50(198) -> 199* 12.78/3.73 50(193) -> 194* 12.78/3.73 50(158) -> 159* 12.78/3.73 50(148) -> 149* 12.78/3.73 50(138) -> 129* 12.78/3.73 50(108) -> 109* 12.78/3.73 50(68) -> 210* 12.78/3.73 50(28) -> 29* 12.78/3.73 50(23) -> 33* 12.78/3.73 50(13) -> 87* 12.78/3.73 50(210) -> 211* 12.78/3.73 50(8) -> 9* 12.78/3.73 50(120) -> 121* 12.78/3.73 00(50) -> 51* 12.78/3.73 00(227) -> 228* 12.78/3.73 00(222) -> 223* 12.78/3.73 00(197) -> 198* 12.78/3.73 00(182) -> 183* 12.78/3.73 00(244) -> 245* 12.78/3.73 00(42) -> 43* 12.78/3.73 00(234) -> 235* 12.78/3.73 00(2) -> 130* 12.78/3.73 00(144) -> 145* 12.78/3.73 00(109) -> 110* 12.78/3.73 00(94) -> 86* 12.78/3.73 00(231) -> 224* 12.78/3.73 00(29) -> 30* 12.78/3.73 00(196) -> 197* 12.78/3.73 00(151) -> 152* 12.78/3.73 00(228) -> 229* 12.78/3.73 00(63) -> 64* 12.78/3.73 00(235) -> 236* 12.78/3.73 00(23) -> 59* 12.78/3.73 00(3) -> 4* 12.78/3.73 20(45) -> 46* 12.78/3.73 20(40) -> 32* 12.78/3.73 20(25) -> 26* 12.78/3.73 20(20) -> 21* 12.78/3.73 20(192) -> 193* 12.78/3.73 20(172) -> 165* 12.78/3.73 20(142) -> 143* 12.78/3.73 20(127) -> 128* 12.78/3.73 20(112) -> 104* 12.78/3.73 20(82) -> 83* 12.78/3.73 20(72) -> 73* 12.78/3.73 20(57) -> 49* 12.78/3.73 20(2) -> 77* 12.78/3.73 20(114) -> 115* 12.78/3.73 20(89) -> 90* 12.78/3.73 20(64) -> 65* 12.78/3.73 20(54) -> 55* 12.78/3.73 20(24) -> 242* 12.78/3.73 20(161) -> 162* 12.78/3.73 20(146) -> 139* 12.78/3.73 20(81) -> 82* 12.78/3.73 20(71) -> 72* 12.78/3.73 20(61) -> 62* 12.78/3.73 20(51) -> 52* 12.78/3.73 20(248) -> 241* 12.78/3.73 20(26) -> 27* 12.78/3.73 20(148) -> 225* 12.78/3.73 20(118) -> 119* 12.78/3.73 20(83) -> 84* 12.78/3.73 20(73) -> 74* 12.78/3.73 20(53) -> 54* 12.78/3.73 20(48) -> 41* 12.78/3.73 20(240) -> 232* 12.78/3.73 20(23) -> 114* 12.78/3.73 20(3) -> 148* 12.78/3.73 20(195) -> 196* 12.78/3.73 20(190) -> 181* 12.78/3.73 20(185) -> 186* 12.78/3.73 20(145) -> 146* 12.78/3.73 20(135) -> 136* 12.78/3.73 20(125) -> 126* 12.78/3.73 20(105) -> 106* 12.78/3.73 1 -> 130* 12.78/3.73 12 -> 182* 12.78/3.73 22 -> 77* 12.78/3.73 32 -> 130* 12.78/3.73 41 -> 77* 12.78/3.73 49 -> 130,4 12.78/3.73 58 -> 182* 12.78/3.73 67 -> 77* 12.78/3.73 76 -> 13* 12.78/3.73 86 -> 77,148 12.78/3.73 95 -> 13* 12.78/3.73 104 -> 77* 12.78/3.73 113 -> 13* 12.78/3.73 122 -> 77* 12.78/3.73 129 -> 130* 12.78/3.73 139 -> 182,87 12.78/3.73 147 -> 13* 12.78/3.73 156 -> 13* 12.78/3.73 165 -> 130* 12.78/3.73 173 -> 130* 12.78/3.73 181 -> 182* 12.78/3.73 191 -> 182* 12.78/3.73 200 -> 182* 12.78/3.73 209 -> 3,14 12.78/3.73 217 -> 182* 12.78/3.73 224 -> 130* 12.78/3.73 232 -> 23,157 12.78/3.73 241 -> 77* 12.78/3.73 problem: 12.78/3.73 12.78/3.73 Qed 12.78/3.74 EOF