21.45/5.95 YES 21.58/5.97 21.58/5.97 Problem: 21.58/5.97 0(1(2(3(x1)))) -> 0(2(2(3(x1)))) 21.58/5.97 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 21.58/5.97 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 21.58/5.97 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 21.58/5.97 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 21.58/5.97 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 21.58/5.97 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 21.58/5.97 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 21.58/5.97 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 21.58/5.97 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 21.58/5.97 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 21.58/5.97 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 21.58/5.97 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 21.58/5.97 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 21.58/5.97 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 21.58/5.97 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 21.58/5.97 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 21.58/5.97 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 21.58/5.97 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 21.58/5.97 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 21.58/5.97 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 21.58/5.97 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 21.58/5.97 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 21.58/5.97 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 21.58/5.97 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 21.58/5.97 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 21.58/5.97 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 21.58/5.97 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 21.58/5.97 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 21.58/5.97 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 21.58/5.97 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 21.58/5.97 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 21.58/5.97 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(x1))))))))))))))))))))) 21.58/5.97 21.58/5.97 Proof: 21.58/5.97 String Reversal Processor: 21.58/5.97 3(2(1(0(x1)))) -> 3(2(2(0(x1)))) 21.58/5.97 5(4(4(1(1(x1))))) -> 5(0(0(1(5(x1))))) 21.58/5.97 5(2(3(3(2(x1))))) -> 5(5(4(5(3(x1))))) 21.58/5.97 3(5(1(1(5(x1))))) -> 3(5(4(1(5(x1))))) 21.58/5.97 4(1(1(5(2(0(x1)))))) -> 5(4(2(2(3(0(x1)))))) 21.58/5.97 3(0(4(1(2(1(x1)))))) -> 3(5(4(5(2(4(x1)))))) 21.58/5.97 3(4(0(2(5(1(x1)))))) -> 1(1(1(0(5(x1))))) 21.58/5.97 0(4(5(1(2(2(x1)))))) -> 3(0(4(5(3(2(x1)))))) 21.58/5.97 4(4(1(3(2(0(4(x1))))))) -> 5(0(5(0(3(1(4(x1))))))) 21.58/5.97 2(2(2(3(4(5(3(4(x1)))))))) -> 4(1(4(3(2(1(4(x1))))))) 21.58/5.97 3(3(3(4(3(2(2(2(0(x1))))))))) -> 3(5(5(3(5(0(4(5(0(x1))))))))) 21.58/5.97 2(5(0(1(1(4(3(5(4(x1))))))))) -> 2(5(0(2(3(1(3(4(4(x1))))))))) 21.58/5.97 2(5(1(5(4(0(1(4(3(3(x1)))))))))) -> 4(2(0(3(0(5(1(4(3(3(x1)))))))))) 21.58/5.97 2(4(1(2(1(5(5(0(4(5(4(2(x1)))))))))))) -> 2(4(1(0(3(3(1(1(0(1(4(x1))))))))))) 21.58/5.97 0(4(5(1(5(4(3(4(5(4(0(0(1(x1))))))))))))) -> 3(1(3(0(1(1(2(1(3(3(5(x1))))))))))) 21.58/5.97 2(3(0(0(4(4(2(3(2(1(2(2(1(x1))))))))))))) -> 5(4(2(2(1(3(1(0(2(3(4(4(4(x1))))))))))))) 21.58/5.97 0(2(0(2(1(3(3(3(5(4(5(1(4(x1))))))))))))) -> 5(1(1(3(1(0(4(4(3(4(1(4(x1)))))))))))) 21.58/5.97 1(3(0(1(5(5(5(0(5(2(0(2(0(3(3(2(2(x1))))))))))))))))) -> 21.58/5.97 1(3(3(4(1(2(3(4(0(0(5(2(0(2(5(5(5(x1))))))))))))))))) 21.58/5.97 2(5(2(5(1(5(1(1(3(3(3(3(0(3(1(1(5(1(x1)))))))))))))))))) -> 21.58/5.97 2(5(1(4(2(5(2(1(1(4(3(1(5(0(2(4(5(3(x1)))))))))))))))))) 21.58/5.97 0(3(3(0(3(2(0(4(0(4(5(3(2(4(3(3(4(2(x1)))))))))))))))))) -> 21.58/5.97 5(1(0(5(0(3(0(1(2(5(1(4(4(0(3(1(2(x1))))))))))))))))) 21.58/5.97 2(3(1(0(1(3(3(0(0(3(0(5(3(2(1(5(5(2(x1)))))))))))))))))) -> 21.58/5.97 3(3(4(0(5(0(1(3(2(2(2(5(1(0(0(5(1(2(x1)))))))))))))))))) 21.58/5.97 2(4(1(3(0(4(5(4(2(2(0(5(0(0(3(1(5(3(2(x1))))))))))))))))))) -> 21.58/5.97 2(1(5(5(3(1(4(2(2(5(3(2(3(0(2(0(2(5(x1)))))))))))))))))) 21.58/5.97 4(5(4(4(1(5(0(4(3(2(1(0(5(5(2(1(4(3(2(3(x1)))))))))))))))))))) -> 21.58/5.97 4(2(2(5(2(4(2(0(3(2(1(5(5(1(0(5(1(0(2(3(x1)))))))))))))))))))) 21.58/5.97 3(2(2(0(1(2(1(2(5(3(0(5(5(4(4(0(2(5(5(3(x1)))))))))))))))))))) -> 21.58/5.97 3(4(2(5(4(3(0(5(3(2(1(4(2(4(5(0(3(3(1(3(x1)))))))))))))))))))) 21.58/5.97 4(0(1(5(4(4(2(1(2(0(5(3(5(5(1(3(5(4(1(5(4(x1))))))))))))))))))))) -> 21.58/5.97 4(5(3(0(2(2(5(5(3(2(2(5(4(0(2(5(1(2(0(4(4(x1))))))))))))))))))))) 21.58/5.97 Bounds Processor: 21.58/5.97 bound: 0 21.58/5.97 enrichment: match 21.58/5.97 automaton: 21.58/5.97 final states: {234,215,196,179,163,147,132,116,106,95,85,76,67,59, 21.58/5.98 51,46,40,34,30,24,19,16,11,6,1} 21.58/5.98 transitions: 21.58/5.98 f60() -> 2* 21.58/5.98 30(60) -> 61* 21.58/5.98 30(55) -> 56* 21.58/5.98 30(35) -> 36* 21.58/5.98 30(217) -> 218* 21.58/5.98 30(5) -> 1* 21.58/5.98 30(177) -> 178* 21.58/5.98 30(157) -> 158* 21.58/5.98 30(112) -> 113* 21.58/5.98 30(107) -> 108* 21.58/5.98 30(92) -> 93* 21.58/5.98 30(72) -> 73* 21.58/5.98 30(62) -> 63* 21.58/5.98 30(47) -> 48* 21.58/5.98 30(244) -> 245* 21.58/5.98 30(12) -> 68* 21.58/5.98 30(7) -> 86* 21.58/5.98 30(2) -> 12* 21.58/5.98 30(129) -> 130* 21.58/5.98 30(94) -> 85* 21.58/5.98 30(79) -> 80* 21.58/5.98 30(39) -> 34* 21.58/5.98 30(29) -> 24* 21.58/5.98 30(216) -> 217* 21.58/5.98 30(206) -> 207* 21.58/5.98 30(191) -> 192* 21.58/5.98 30(171) -> 172* 21.58/5.98 30(136) -> 137* 21.58/5.98 30(96) -> 97* 21.58/5.98 30(86) -> 87* 21.58/5.98 30(41) -> 42* 21.58/5.98 30(233) -> 215* 21.58/5.98 30(228) -> 229* 21.58/5.98 30(183) -> 184* 21.58/5.98 30(178) -> 163* 21.58/5.98 30(148) -> 149* 21.58/5.98 30(58) -> 51* 21.58/5.98 30(250) -> 251* 21.58/5.98 30(225) -> 226* 21.58/5.98 30(18) -> 16* 21.58/5.98 30(3) -> 20* 21.58/5.98 30(185) -> 186* 21.58/5.98 30(130) -> 131* 21.58/5.98 30(125) -> 126* 21.58/5.98 30(100) -> 101* 21.58/5.98 30(80) -> 81* 21.58/5.98 20(247) -> 248* 21.58/5.98 20(242) -> 243* 21.58/5.98 20(25) -> 26* 21.58/5.98 20(20) -> 21* 21.58/5.98 20(212) -> 213* 21.58/5.98 20(187) -> 188* 21.58/5.98 20(142) -> 143* 21.58/5.98 20(102) -> 103* 21.58/5.98 20(97) -> 98* 21.58/5.98 20(224) -> 225* 21.58/5.98 20(12) -> 197* 21.58/5.98 20(7) -> 180* 21.58/5.98 20(2) -> 35* 21.58/5.98 20(184) -> 185* 21.58/5.98 20(169) -> 170* 21.58/5.98 20(154) -> 155* 21.58/5.98 20(84) -> 76* 21.58/5.98 20(74) -> 75* 21.58/5.98 20(231) -> 232* 21.58/5.98 20(221) -> 222* 21.58/5.98 20(14) -> 133* 21.58/5.98 20(4) -> 5* 21.58/5.98 20(181) -> 182* 21.58/5.98 20(146) -> 132* 21.58/5.98 20(126) -> 127* 21.58/5.98 20(66) -> 59* 21.58/5.98 20(248) -> 249* 21.58/5.98 20(243) -> 244* 21.58/5.98 20(41) -> 47* 21.58/5.98 20(238) -> 239* 21.58/5.98 20(21) -> 22* 21.58/5.98 20(213) -> 214* 21.58/5.98 20(208) -> 209* 21.58/5.98 20(188) -> 189* 21.58/5.98 20(168) -> 169* 21.58/5.98 20(118) -> 119* 21.58/5.98 20(103) -> 104* 21.58/5.98 20(88) -> 89* 21.58/5.98 20(63) -> 64* 21.58/5.98 20(235) -> 236* 21.58/5.98 20(210) -> 211* 21.58/5.98 20(205) -> 206* 21.58/5.98 20(3) -> 4* 21.58/5.98 20(195) -> 179* 21.58/5.98 20(170) -> 171* 21.58/5.98 20(140) -> 141* 21.58/5.98 20(120) -> 121* 21.58/5.98 00(60) -> 235* 21.58/5.98 00(227) -> 228* 21.58/5.98 00(207) -> 208* 21.58/5.98 00(197) -> 198* 21.58/5.98 00(182) -> 183* 21.58/5.98 00(122) -> 123* 21.58/5.98 00(249) -> 250* 21.58/5.98 00(42) -> 43* 21.58/5.98 00(239) -> 240* 21.58/5.98 00(7) -> 31* 21.58/5.98 00(2) -> 3* 21.58/5.98 00(164) -> 165* 21.58/5.98 00(149) -> 150* 21.58/5.98 00(119) -> 120* 21.58/5.98 00(64) -> 65* 21.58/5.98 00(44) -> 45* 21.58/5.98 00(9) -> 10* 21.58/5.98 00(156) -> 157* 21.58/5.98 00(91) -> 92* 21.58/5.98 00(81) -> 82* 21.58/5.98 00(71) -> 72* 21.58/5.98 00(41) -> 77* 21.58/5.98 00(218) -> 219* 21.58/5.98 00(173) -> 174* 21.58/5.98 00(158) -> 159* 21.58/5.98 00(133) -> 134* 21.58/5.98 00(123) -> 124* 21.58/5.98 00(98) -> 99* 21.58/5.98 00(73) -> 74* 21.58/5.98 00(53) -> 54* 21.58/5.98 00(38) -> 39* 21.58/5.98 00(8) -> 9* 21.58/5.98 00(200) -> 201* 21.58/5.98 00(180) -> 181* 21.58/5.98 00(175) -> 176* 21.58/5.98 00(165) -> 166* 21.58/5.98 00(160) -> 161* 21.58/5.98 00(110) -> 111* 21.58/5.98 50(70) -> 71* 21.58/5.98 50(65) -> 66* 21.58/5.98 50(45) -> 40* 21.58/5.98 50(237) -> 238* 21.58/5.98 50(15) -> 11* 21.58/5.98 50(10) -> 6* 21.58/5.98 50(202) -> 203* 21.58/5.98 50(192) -> 193* 21.58/5.98 50(167) -> 168* 21.58/5.98 50(162) -> 147* 21.58/5.98 50(117) -> 118* 21.58/5.98 50(57) -> 58* 21.58/5.98 50(219) -> 220* 21.58/5.98 50(17) -> 18* 21.58/5.98 50(12) -> 13* 21.58/5.98 50(7) -> 117* 21.58/5.98 50(2) -> 7* 21.58/5.98 50(199) -> 200* 21.58/5.98 50(174) -> 175* 21.58/5.98 50(159) -> 160* 21.58/5.98 50(134) -> 135* 21.58/5.98 50(54) -> 55* 21.58/5.98 50(251) -> 252* 21.58/5.98 50(246) -> 247* 21.58/5.98 50(241) -> 242* 21.58/5.98 50(226) -> 227* 21.58/5.98 50(14) -> 15* 21.58/5.98 50(211) -> 212* 21.58/5.98 50(186) -> 187* 21.58/5.98 50(141) -> 142* 21.58/5.98 50(121) -> 122* 21.58/5.98 50(56) -> 57* 21.58/5.98 50(36) -> 37* 21.58/5.98 50(26) -> 27* 21.58/5.98 50(203) -> 204* 21.58/5.98 50(193) -> 194* 21.58/5.98 50(153) -> 154* 21.58/5.98 50(148) -> 164* 21.58/5.98 50(245) -> 246* 21.58/5.98 50(43) -> 44* 21.58/5.98 50(230) -> 231* 21.58/5.98 50(28) -> 29* 21.58/5.98 50(23) -> 19* 21.58/5.98 50(3) -> 52* 21.58/5.98 50(145) -> 146* 21.58/5.98 50(115) -> 106* 21.58/5.98 50(105) -> 95* 21.58/5.98 10(35) -> 148* 21.58/5.98 10(25) -> 41* 21.58/5.98 10(172) -> 173* 21.58/5.98 10(152) -> 153* 21.58/5.98 10(127) -> 128* 21.58/5.98 10(87) -> 88* 21.58/5.98 10(82) -> 83* 21.58/5.98 10(77) -> 78* 21.58/5.98 10(32) -> 33* 21.58/5.98 10(12) -> 216* 21.58/5.98 10(7) -> 8* 21.58/5.98 10(204) -> 205* 21.58/5.98 10(194) -> 195* 21.58/5.98 10(144) -> 145* 21.58/5.98 10(139) -> 140* 21.58/5.98 10(114) -> 115* 21.58/5.98 10(99) -> 100* 21.58/5.98 10(89) -> 90* 21.58/5.98 10(69) -> 70* 21.58/5.98 10(49) -> 50* 21.58/5.98 10(236) -> 237* 21.58/5.98 10(201) -> 202* 21.58/5.98 10(166) -> 167* 21.58/5.98 10(161) -> 162* 21.58/5.98 10(131) -> 116* 21.58/5.98 10(111) -> 112* 21.58/5.98 10(101) -> 102* 21.58/5.98 10(61) -> 62* 21.58/5.98 10(31) -> 32* 21.58/5.98 10(223) -> 224* 21.58/5.98 10(198) -> 199* 21.58/5.98 10(138) -> 139* 21.58/5.98 10(113) -> 114* 21.58/5.98 10(93) -> 94* 21.58/5.98 10(78) -> 79* 21.58/5.98 10(33) -> 30* 21.58/5.98 10(190) -> 191* 21.58/5.98 10(155) -> 156* 21.58/5.98 10(135) -> 136* 21.58/5.98 10(90) -> 91* 21.58/5.98 40(75) -> 67* 21.58/5.98 40(60) -> 96* 21.58/5.98 40(252) -> 234* 21.58/5.98 40(50) -> 46* 21.58/5.98 40(232) -> 233* 21.58/5.98 40(25) -> 60* 21.58/5.98 40(222) -> 223* 21.58/5.98 40(137) -> 138* 21.58/5.98 40(52) -> 53* 21.58/5.98 40(37) -> 38* 21.58/5.98 40(229) -> 230* 21.58/5.98 40(27) -> 28* 21.58/5.98 40(22) -> 23* 21.58/5.98 40(214) -> 196* 21.58/5.98 40(209) -> 210* 21.58/5.98 40(2) -> 25* 21.58/5.98 40(189) -> 190* 21.58/5.98 40(124) -> 125* 21.58/5.98 40(109) -> 110* 21.58/5.98 40(104) -> 105* 21.58/5.98 40(176) -> 177* 21.58/5.98 40(151) -> 152* 21.58/5.98 40(41) -> 107* 21.58/5.98 40(143) -> 144* 21.58/5.98 40(128) -> 129* 21.58/5.98 40(108) -> 109* 21.58/5.98 40(83) -> 84* 21.58/5.98 40(68) -> 69* 21.58/5.98 40(48) -> 49* 21.58/5.98 40(240) -> 241* 21.58/5.98 40(220) -> 221* 21.58/5.98 40(13) -> 14* 21.58/5.98 40(8) -> 17* 21.58/5.98 40(150) -> 151* 21.58/5.98 1 -> 12,36 21.58/5.98 6 -> 7* 21.58/5.98 11 -> 7* 21.58/5.98 16 -> 12,86 21.58/5.98 19 -> 25* 21.58/5.98 24 -> 12,20 21.58/5.98 30 -> 12* 21.58/5.98 34 -> 3* 21.58/5.98 40 -> 25,60 21.58/5.98 46 -> 35* 21.58/5.98 51 -> 12,68 21.58/5.98 59 -> 35,180 21.58/5.98 67 -> 35,180 21.58/5.98 76 -> 35,26 21.58/5.98 85 -> 3* 21.58/5.98 95 -> 35,197,21 21.58/5.98 106 -> 3* 21.58/5.98 116 -> 216* 21.58/5.98 132 -> 35,180 21.58/5.98 147 -> 3* 21.58/5.98 163 -> 35,197 21.58/5.98 179 -> 35,26 21.58/5.98 196 -> 25* 21.58/5.98 215 -> 1* 21.58/5.98 234 -> 25* 21.58/5.98 problem: 21.58/5.98 21.58/5.98 Qed 21.58/5.98 EOF