12.38/3.62 YES 12.38/3.63 12.38/3.63 Problem: 12.38/3.63 0(1(2(2(x1)))) -> 0(1(0(1(x1)))) 12.38/3.63 0(0(0(0(0(x1))))) -> 2(0(2(0(x1)))) 12.38/3.63 3(2(3(4(0(4(1(0(x1)))))))) -> 2(3(2(2(5(3(1(x1))))))) 12.38/3.63 1(4(1(0(4(1(2(2(5(3(x1)))))))))) -> 1(4(4(2(5(3(1(5(2(x1))))))))) 12.38/3.63 1(4(2(3(1(4(0(2(1(1(x1)))))))))) -> 1(1(4(1(0(4(2(3(2(1(x1)))))))))) 12.38/3.63 2(5(1(2(4(5(1(3(1(5(x1)))))))))) -> 2(4(3(0(3(4(2(4(5(x1))))))))) 12.38/3.63 2(3(2(4(3(2(3(4(4(0(0(0(x1)))))))))))) -> 2(4(2(0(2(2(2(2(4(3(0(x1))))))))))) 12.38/3.63 5(0(2(4(2(4(1(4(4(5(1(4(x1)))))))))))) -> 1(4(5(3(3(2(3(2(3(3(4(x1))))))))))) 12.38/3.63 1(0(1(3(5(5(1(2(5(2(3(5(4(x1))))))))))))) -> 1(0(3(4(1(2(3(4(5(3(3(5(4(x1))))))))))))) 12.38/3.63 1(4(4(2(5(3(1(5(1(2(1(5(0(x1))))))))))))) -> 3(5(2(5(4(1(5(2(4(1(3(2(x1)))))))))))) 12.38/3.63 4(1(2(5(1(1(0(0(5(4(1(3(1(x1))))))))))))) -> 4(1(1(2(2(3(5(1(4(2(3(1(x1)))))))))))) 12.38/3.63 5(5(3(2(0(3(4(0(0(3(1(4(3(x1))))))))))))) -> 5(5(3(5(0(3(1(5(2(3(1(3(4(x1))))))))))))) 12.38/3.63 0(5(3(2(4(0(2(1(2(3(3(4(3(3(x1)))))))))))))) -> 0(5(4(4(5(3(4(0(1(0(1(3(1(2(3(x1))))))))))))))) 12.38/3.63 4(3(0(5(5(2(5(2(3(5(3(0(2(2(4(x1))))))))))))))) -> 12.38/3.63 4(3(3(4(3(1(4(1(5(0(0(5(1(5(3(4(x1)))))))))))))))) 12.38/3.63 3(1(5(4(1(2(0(0(1(0(0(0(2(0(4(5(x1)))))))))))))))) -> 12.38/3.63 3(0(2(2(3(3(1(3(2(2(1(2(2(5(5(x1))))))))))))))) 12.38/3.63 4(1(1(0(5(4(2(0(4(0(5(1(2(0(3(1(x1)))))))))))))))) -> 12.38/3.63 2(4(3(1(4(1(4(0(1(1(0(5(4(0(5(0(x1)))))))))))))))) 12.38/3.63 4(0(2(2(4(4(1(1(1(1(0(4(1(5(1(2(0(1(x1)))))))))))))))))) -> 12.38/3.63 4(5(5(2(5(0(2(1(5(2(4(1(1(1(5(3(2(x1))))))))))))))))) 12.38/3.63 4(4(4(4(3(1(1(3(3(4(2(2(4(0(3(5(4(2(5(2(3(x1))))))))))))))))))))) -> 12.38/3.63 2(5(5(4(0(1(5(3(3(5(0(1(5(1(5(4(2(4(2(2(x1)))))))))))))))))))) 12.38/3.63 12.38/3.63 Proof: 12.38/3.63 String Reversal Processor: 12.38/3.63 2(2(1(0(x1)))) -> 1(0(1(0(x1)))) 12.38/3.63 0(0(0(0(0(x1))))) -> 0(2(0(2(x1)))) 12.38/3.63 0(1(4(0(4(3(2(3(x1)))))))) -> 1(3(5(2(2(3(2(x1))))))) 12.38/3.63 3(5(2(2(1(4(0(1(4(1(x1)))))))))) -> 2(5(1(3(5(2(4(4(1(x1))))))))) 12.38/3.63 1(1(2(0(4(1(3(2(4(1(x1)))))))))) -> 1(2(3(2(4(0(1(4(1(1(x1)))))))))) 12.38/3.63 5(1(3(1(5(4(2(1(5(2(x1)))))))))) -> 5(4(2(4(3(0(3(4(2(x1))))))))) 12.38/3.63 0(0(0(4(4(3(2(3(4(2(3(2(x1)))))))))))) -> 0(3(4(2(2(2(2(0(2(4(2(x1))))))))))) 12.38/3.63 4(1(5(4(4(1(4(2(4(2(0(5(x1)))))))))))) -> 4(3(3(2(3(2(3(3(5(4(1(x1))))))))))) 12.38/3.63 4(5(3(2(5(2(1(5(5(3(1(0(1(x1))))))))))))) -> 4(5(3(3(5(4(3(2(1(4(3(0(1(x1))))))))))))) 12.38/3.63 0(5(1(2(1(5(1(3(5(2(4(4(1(x1))))))))))))) -> 2(3(1(4(2(5(1(4(5(2(5(3(x1)))))))))))) 12.38/3.63 1(3(1(4(5(0(0(1(1(5(2(1(4(x1))))))))))))) -> 1(3(2(4(1(5(3(2(2(1(1(4(x1)))))))))))) 12.38/3.63 3(4(1(3(0(0(4(3(0(2(3(5(5(x1))))))))))))) -> 4(3(1(3(2(5(1(3(0(5(3(5(5(x1))))))))))))) 12.38/3.63 3(3(4(3(3(2(1(2(0(4(2(3(5(0(x1)))))))))))))) -> 3(2(1(3(1(0(1(0(4(3(5(4(4(5(0(x1))))))))))))))) 12.38/3.63 4(2(2(0(3(5(3(2(5(2(5(5(0(3(4(x1))))))))))))))) -> 12.38/3.63 4(3(5(1(5(0(0(5(1(4(1(3(4(3(3(4(x1)))))))))))))))) 12.38/3.63 5(4(0(2(0(0(0(1(0(0(2(1(4(5(1(3(x1)))))))))))))))) -> 12.38/3.63 5(5(2(2(1(2(2(3(1(3(3(2(2(0(3(x1))))))))))))))) 12.38/3.63 1(3(0(2(1(5(0(4(0(2(4(5(0(1(1(4(x1)))))))))))))))) -> 12.38/3.63 0(5(0(4(5(0(1(1(0(4(1(4(1(3(4(2(x1)))))))))))))))) 12.38/3.63 1(0(2(1(5(1(4(0(1(1(1(1(4(4(2(2(0(4(x1)))))))))))))))))) -> 12.38/3.63 2(3(5(1(1(1(4(2(5(1(2(0(5(2(5(5(4(x1))))))))))))))))) 12.38/3.63 3(2(5(2(4(5(3(0(4(2(2(4(3(3(1(1(3(4(4(4(4(x1))))))))))))))))))))) -> 12.38/3.63 2(2(4(2(4(5(1(5(1(0(5(3(3(5(1(0(4(5(5(2(x1)))))))))))))))))))) 12.38/3.63 Bounds Processor: 12.38/3.63 bound: 0 12.38/3.63 enrichment: match 12.38/3.63 automaton: 12.38/3.63 final states: {181,165,152,138,123,109,96,84,72,60,51,42,34,25,16,10,6,1} 12.38/3.63 transitions: 12.38/3.63 f60() -> 2* 12.38/3.63 10(15) -> 10* 12.38/3.63 10(5) -> 1* 12.38/3.63 10(177) -> 178* 12.38/3.63 10(157) -> 158* 12.38/3.63 10(147) -> 148* 12.38/3.63 10(127) -> 128* 12.38/3.63 10(102) -> 103* 12.38/3.63 10(77) -> 78* 12.38/3.63 10(27) -> 28* 12.38/3.63 10(22) -> 23* 12.38/3.63 10(17) -> 26* 12.38/3.63 10(2) -> 17* 12.38/3.63 10(154) -> 155* 12.38/3.63 10(134) -> 135* 12.38/3.63 10(129) -> 130* 12.38/3.63 10(191) -> 192* 12.38/3.63 10(176) -> 177* 12.38/3.63 10(171) -> 172* 12.38/3.63 10(116) -> 117* 12.38/3.63 10(106) -> 107* 12.38/3.63 10(91) -> 92* 12.38/3.63 10(86) -> 87* 12.38/3.63 10(81) -> 82* 12.38/3.63 10(36) -> 153* 12.38/3.63 10(193) -> 194* 12.38/3.63 10(158) -> 159* 12.38/3.63 10(143) -> 144* 12.38/3.63 10(118) -> 119* 12.38/3.63 10(63) -> 64* 12.38/3.63 10(33) -> 25* 12.38/3.63 10(3) -> 4* 12.38/3.63 10(185) -> 186* 12.38/3.63 10(175) -> 176* 12.38/3.63 10(120) -> 121* 12.38/3.63 10(95) -> 84* 12.38/3.63 10(85) -> 86* 12.38/3.63 00(50) -> 42* 12.38/3.63 00(162) -> 163* 12.38/3.63 00(132) -> 133* 12.38/3.63 00(117) -> 118* 12.38/3.63 00(17) -> 61* 12.38/3.63 00(7) -> 8* 12.38/3.63 00(2) -> 3* 12.38/3.63 00(184) -> 185* 12.38/3.63 00(169) -> 170* 12.38/3.63 00(164) -> 152* 12.38/3.63 00(159) -> 160* 12.38/3.63 00(9) -> 6* 12.38/3.63 00(4) -> 5* 12.38/3.63 00(156) -> 157* 12.38/3.63 00(131) -> 132* 12.38/3.63 00(36) -> 37* 12.38/3.63 00(73) -> 139* 12.38/3.63 00(43) -> 44* 12.38/3.63 00(28) -> 29* 12.38/3.63 00(190) -> 191* 12.38/3.63 00(115) -> 116* 12.38/3.63 00(100) -> 101* 12.38/3.63 20(45) -> 46* 12.38/3.63 20(35) -> 43* 12.38/3.63 20(30) -> 31* 12.38/3.63 20(167) -> 168* 12.38/3.63 20(87) -> 88* 12.38/3.63 20(47) -> 48* 12.38/3.63 20(32) -> 33* 12.38/3.63 20(12) -> 13* 12.38/3.63 20(2) -> 7* 12.38/3.63 20(199) -> 181* 12.38/3.63 20(149) -> 150* 12.38/3.63 20(139) -> 140* 12.38/3.63 20(104) -> 105* 12.38/3.63 20(79) -> 80* 12.38/3.63 20(74) -> 75* 12.38/3.63 20(64) -> 65* 12.38/3.63 20(54) -> 55* 12.38/3.63 20(44) -> 45* 12.38/3.63 20(39) -> 40* 12.38/3.63 20(24) -> 16* 12.38/3.63 20(19) -> 20* 12.38/3.63 20(196) -> 197* 12.38/3.63 20(146) -> 147* 12.38/3.63 20(121) -> 122* 12.38/3.63 20(56) -> 57* 12.38/3.63 20(46) -> 47* 12.38/3.63 20(11) -> 12* 12.38/3.63 20(198) -> 199* 12.38/3.63 20(173) -> 174* 12.38/3.63 20(148) -> 149* 12.38/3.63 20(93) -> 94* 12.38/3.63 20(88) -> 89* 12.38/3.63 20(83) -> 72* 12.38/3.63 20(8) -> 9* 12.38/3.63 20(180) -> 165* 12.38/3.63 20(170) -> 171* 12.38/3.63 20(145) -> 146* 12.38/3.63 20(140) -> 141* 12.38/3.63 30(65) -> 66* 12.38/3.63 30(55) -> 56* 12.38/3.63 30(35) -> 36* 12.38/3.63 30(187) -> 188* 12.38/3.63 30(142) -> 143* 12.38/3.63 30(122) -> 109* 12.38/3.63 30(107) -> 108* 12.38/3.63 30(82) -> 83* 12.38/3.63 30(57) -> 58* 12.38/3.63 30(52) -> 53* 12.38/3.63 30(37) -> 38* 12.38/3.63 30(7) -> 11* 12.38/3.63 30(2) -> 73* 12.38/3.63 30(179) -> 180* 12.38/3.63 30(144) -> 145* 12.38/3.63 30(124) -> 125* 12.38/3.63 30(119) -> 120* 12.38/3.63 30(94) -> 95* 12.38/3.63 30(89) -> 90* 12.38/3.63 30(69) -> 70* 12.38/3.63 30(49) -> 50* 12.38/3.63 30(14) -> 15* 12.38/3.63 30(141) -> 142* 12.38/3.63 30(136) -> 137* 12.38/3.63 30(126) -> 127* 12.38/3.63 30(101) -> 102* 12.38/3.63 30(61) -> 62* 12.38/3.63 30(31) -> 32* 12.38/3.63 30(21) -> 22* 12.38/3.63 30(188) -> 189* 12.38/3.63 30(113) -> 114* 12.38/3.63 30(98) -> 99* 12.38/3.63 30(68) -> 69* 12.38/3.63 30(58) -> 59* 12.38/3.63 30(53) -> 54* 12.38/3.63 30(105) -> 106* 12.38/3.63 30(85) -> 124* 12.38/3.63 50(75) -> 76* 12.38/3.63 50(70) -> 71* 12.38/3.63 50(20) -> 21* 12.38/3.63 50(192) -> 193* 12.38/3.63 50(182) -> 183* 12.38/3.63 50(172) -> 173* 12.38/3.63 50(112) -> 113* 12.38/3.63 50(97) -> 98* 12.38/3.63 50(67) -> 68* 12.38/3.63 50(7) -> 182* 12.38/3.63 50(2) -> 97* 12.38/3.63 50(194) -> 195* 12.38/3.63 50(189) -> 190* 12.38/3.63 50(99) -> 100* 12.38/3.63 50(186) -> 187* 12.38/3.63 50(166) -> 167* 12.38/3.63 50(151) -> 138* 12.38/3.63 50(41) -> 34* 12.38/3.63 50(178) -> 179* 12.38/3.63 50(168) -> 169* 12.38/3.63 50(163) -> 164* 12.38/3.63 50(133) -> 134* 12.38/3.63 50(103) -> 104* 12.38/3.63 50(78) -> 79* 12.38/3.63 50(73) -> 74* 12.38/3.63 50(23) -> 24* 12.38/3.63 50(18) -> 52* 12.38/3.63 50(13) -> 14* 12.38/3.63 50(3) -> 110* 12.38/3.63 50(160) -> 161* 12.38/3.63 50(150) -> 151* 12.38/3.63 50(135) -> 136* 12.38/3.63 50(130) -> 131* 12.38/3.63 50(90) -> 91* 12.38/3.63 50(85) -> 166* 12.38/3.63 40(80) -> 81* 12.38/3.63 40(40) -> 41* 12.38/3.63 40(197) -> 198* 12.38/3.63 40(137) -> 123* 12.38/3.63 40(92) -> 93* 12.38/3.63 40(62) -> 63* 12.38/3.63 40(17) -> 18* 12.38/3.63 40(7) -> 35* 12.38/3.63 40(2) -> 85* 12.38/3.63 40(174) -> 175* 12.38/3.63 40(114) -> 115* 12.38/3.63 40(59) -> 51* 12.38/3.63 40(29) -> 30* 12.38/3.63 40(161) -> 162* 12.38/3.63 40(111) -> 112* 12.38/3.63 40(76) -> 77* 12.38/3.63 40(71) -> 60* 12.38/3.63 40(66) -> 67* 12.38/3.63 40(26) -> 27* 12.38/3.63 40(183) -> 184* 12.38/3.63 40(153) -> 154* 12.38/3.63 40(128) -> 129* 12.38/3.63 40(108) -> 96* 12.38/3.63 40(48) -> 49* 12.38/3.63 40(38) -> 39* 12.38/3.63 40(18) -> 19* 12.38/3.63 40(195) -> 196* 12.38/3.63 40(155) -> 156* 12.38/3.63 40(125) -> 126* 12.38/3.63 40(110) -> 111* 12.38/3.63 1 -> 7* 12.38/3.63 6 -> 3* 12.38/3.63 10 -> 3,61 12.38/3.63 16 -> 73* 12.38/3.63 25 -> 17,26 12.38/3.63 34 -> 97* 12.38/3.63 42 -> 3* 12.38/3.63 51 -> 85,18 12.38/3.63 60 -> 85* 12.38/3.63 72 -> 3* 12.38/3.63 84 -> 17* 12.38/3.63 96 -> 73,124 12.38/3.63 109 -> 73,125 12.38/3.63 123 -> 85,35 12.38/3.63 138 -> 97,166 12.38/3.63 152 -> 17* 12.38/3.63 165 -> 17,4 12.38/3.63 181 -> 73,11 12.38/3.63 problem: 12.38/3.63 12.38/3.63 Qed 12.38/3.64 EOF