16.03/4.47 YES 16.03/4.49 16.03/4.49 Problem: 16.03/4.49 0(1(2(x1))) -> 0(1(3(2(x1)))) 16.03/4.49 0(1(2(x1))) -> 0(2(1(0(x1)))) 16.03/4.49 0(1(2(x1))) -> 0(2(1(3(x1)))) 16.03/4.49 0(1(2(x1))) -> 0(2(2(1(x1)))) 16.03/4.49 0(1(2(x1))) -> 0(2(2(1(4(x1))))) 16.03/4.49 0(1(2(x1))) -> 5(1(0(5(2(3(x1)))))) 16.03/4.49 0(2(4(x1))) -> 0(2(1(4(3(x1))))) 16.03/4.49 0(4(2(x1))) -> 4(0(2(3(x1)))) 16.03/4.49 0(4(2(x1))) -> 4(0(5(5(2(x1))))) 16.03/4.49 0(0(4(2(x1)))) -> 0(0(2(2(3(4(x1)))))) 16.03/4.49 0(1(2(2(x1)))) -> 0(2(1(0(2(x1))))) 16.03/4.49 0(1(2(2(x1)))) -> 1(3(0(2(2(x1))))) 16.03/4.49 0(1(2(4(x1)))) -> 0(1(4(2(3(x1))))) 16.03/4.49 0(1(2(4(x1)))) -> 4(0(2(2(1(1(x1)))))) 16.03/4.49 0(1(2(4(x1)))) -> 4(0(5(5(2(1(x1)))))) 16.03/4.49 0(1(2(5(x1)))) -> 3(5(5(2(1(0(x1)))))) 16.03/4.49 0(1(4(2(x1)))) -> 0(5(2(1(4(x1))))) 16.03/4.49 0(1(5(2(x1)))) -> 1(5(0(2(3(x1))))) 16.03/4.49 0(1(5(2(x1)))) -> 0(2(2(1(0(5(x1)))))) 16.03/4.49 0(1(5(2(x1)))) -> 5(5(0(2(1(3(x1)))))) 16.03/4.49 0(2(4(2(x1)))) -> 0(5(4(3(2(2(x1)))))) 16.03/4.49 0(3(1(2(x1)))) -> 0(2(1(3(2(x1))))) 16.03/4.49 0(3(1(2(x1)))) -> 1(0(2(5(3(x1))))) 16.03/4.49 0(3(1(2(x1)))) -> 1(5(0(2(3(x1))))) 16.03/4.49 0(3(1(2(x1)))) -> 3(0(2(2(1(x1))))) 16.03/4.49 0(3(1(2(x1)))) -> 3(2(2(1(0(x1))))) 16.03/4.49 0(3(1(2(x1)))) -> 0(3(2(3(1(3(x1)))))) 16.03/4.49 0(3(4(2(x1)))) -> 0(2(2(3(4(x1))))) 16.03/4.49 5(0(1(2(x1)))) -> 1(3(2(5(0(x1))))) 16.03/4.49 5(0(1(2(x1)))) -> 5(0(2(1(3(3(x1)))))) 16.03/4.49 0(1(1(2(5(x1))))) -> 5(0(2(5(1(1(x1)))))) 16.03/4.49 0(2(3(4(2(x1))))) -> 3(2(2(3(4(0(x1)))))) 16.03/4.49 0(3(1(2(5(x1))))) -> 2(3(1(3(0(5(x1)))))) 16.03/4.49 0(3(1(5(2(x1))))) -> 0(3(2(5(1(2(x1)))))) 16.03/4.49 0(3(4(1(4(x1))))) -> 0(5(3(1(4(4(x1)))))) 16.03/4.49 0(3(5(1(2(x1))))) -> 5(5(3(2(1(0(x1)))))) 16.03/4.49 0(4(0(4(2(x1))))) -> 4(4(0(0(2(2(x1)))))) 16.03/4.49 0(4(1(1(2(x1))))) -> 3(1(4(0(2(1(x1)))))) 16.03/4.49 0(4(1(2(2(x1))))) -> 4(1(0(2(2(3(x1)))))) 16.03/4.49 0(4(1(2(5(x1))))) -> 3(4(1(0(2(5(x1)))))) 16.03/4.49 0(4(2(1(2(x1))))) -> 4(1(3(2(0(2(x1)))))) 16.03/4.49 0(4(2(1(4(x1))))) -> 0(2(1(4(4(4(x1)))))) 16.03/4.49 0(4(2(5(2(x1))))) -> 5(4(3(2(2(0(x1)))))) 16.03/4.49 0(4(5(1(2(x1))))) -> 1(4(2(0(5(5(x1)))))) 16.03/4.49 0(4(5(1(2(x1))))) -> 4(0(2(5(1(1(x1)))))) 16.03/4.49 5(0(1(2(2(x1))))) -> 5(0(2(2(1(2(x1)))))) 16.03/4.49 5(0(2(4(2(x1))))) -> 0(2(2(5(1(4(x1)))))) 16.03/4.49 5(0(4(4(2(x1))))) -> 0(5(2(5(4(4(x1)))))) 16.03/4.49 16.03/4.49 Proof: 16.03/4.49 String Reversal Processor: 16.03/4.49 2(1(0(x1))) -> 2(3(1(0(x1)))) 16.03/4.49 2(1(0(x1))) -> 0(1(2(0(x1)))) 16.03/4.49 2(1(0(x1))) -> 3(1(2(0(x1)))) 16.03/4.49 2(1(0(x1))) -> 1(2(2(0(x1)))) 16.03/4.49 2(1(0(x1))) -> 4(1(2(2(0(x1))))) 16.03/4.49 2(1(0(x1))) -> 3(2(5(0(1(5(x1)))))) 16.03/4.49 4(2(0(x1))) -> 3(4(1(2(0(x1))))) 16.03/4.49 2(4(0(x1))) -> 3(2(0(4(x1)))) 16.03/4.49 2(4(0(x1))) -> 2(5(5(0(4(x1))))) 16.03/4.49 2(4(0(0(x1)))) -> 4(3(2(2(0(0(x1)))))) 16.03/4.49 2(2(1(0(x1)))) -> 2(0(1(2(0(x1))))) 16.03/4.49 2(2(1(0(x1)))) -> 2(2(0(3(1(x1))))) 16.03/4.49 4(2(1(0(x1)))) -> 3(2(4(1(0(x1))))) 16.03/4.49 4(2(1(0(x1)))) -> 1(1(2(2(0(4(x1)))))) 16.03/4.49 4(2(1(0(x1)))) -> 1(2(5(5(0(4(x1)))))) 16.03/4.49 5(2(1(0(x1)))) -> 0(1(2(5(5(3(x1)))))) 16.03/4.49 2(4(1(0(x1)))) -> 4(1(2(5(0(x1))))) 16.03/4.49 2(5(1(0(x1)))) -> 3(2(0(5(1(x1))))) 16.03/4.49 2(5(1(0(x1)))) -> 5(0(1(2(2(0(x1)))))) 16.03/4.49 2(5(1(0(x1)))) -> 3(1(2(0(5(5(x1)))))) 16.03/4.49 2(4(2(0(x1)))) -> 2(2(3(4(5(0(x1)))))) 16.03/4.49 2(1(3(0(x1)))) -> 2(3(1(2(0(x1))))) 16.03/4.49 2(1(3(0(x1)))) -> 3(5(2(0(1(x1))))) 16.03/4.49 2(1(3(0(x1)))) -> 3(2(0(5(1(x1))))) 16.03/4.49 2(1(3(0(x1)))) -> 1(2(2(0(3(x1))))) 16.03/4.49 2(1(3(0(x1)))) -> 0(1(2(2(3(x1))))) 16.03/4.49 2(1(3(0(x1)))) -> 3(1(3(2(3(0(x1)))))) 16.03/4.49 2(4(3(0(x1)))) -> 4(3(2(2(0(x1))))) 16.03/4.49 2(1(0(5(x1)))) -> 0(5(2(3(1(x1))))) 16.03/4.49 2(1(0(5(x1)))) -> 3(3(1(2(0(5(x1)))))) 16.03/4.49 5(2(1(1(0(x1))))) -> 1(1(5(2(0(5(x1)))))) 16.03/4.49 2(4(3(2(0(x1))))) -> 0(4(3(2(2(3(x1)))))) 16.03/4.49 5(2(1(3(0(x1))))) -> 5(0(3(1(3(2(x1)))))) 16.03/4.49 2(5(1(3(0(x1))))) -> 2(1(5(2(3(0(x1)))))) 16.03/4.49 4(1(4(3(0(x1))))) -> 4(4(1(3(5(0(x1)))))) 16.03/4.49 2(1(5(3(0(x1))))) -> 0(1(2(3(5(5(x1)))))) 16.03/4.49 2(4(0(4(0(x1))))) -> 2(2(0(0(4(4(x1)))))) 16.03/4.49 2(1(1(4(0(x1))))) -> 1(2(0(4(1(3(x1)))))) 16.03/4.49 2(2(1(4(0(x1))))) -> 3(2(2(0(1(4(x1)))))) 16.03/4.49 5(2(1(4(0(x1))))) -> 5(2(0(1(4(3(x1)))))) 16.03/4.49 2(1(2(4(0(x1))))) -> 2(0(2(3(1(4(x1)))))) 16.03/4.49 4(1(2(4(0(x1))))) -> 4(4(4(1(2(0(x1)))))) 16.03/4.49 2(5(2(4(0(x1))))) -> 0(2(2(3(4(5(x1)))))) 16.03/4.49 2(1(5(4(0(x1))))) -> 5(5(0(2(4(1(x1)))))) 16.03/4.49 2(1(5(4(0(x1))))) -> 1(1(5(2(0(4(x1)))))) 16.03/4.49 2(2(1(0(5(x1))))) -> 2(1(2(2(0(5(x1)))))) 16.03/4.49 2(4(2(0(5(x1))))) -> 4(1(5(2(2(0(x1)))))) 16.03/4.49 2(4(4(0(5(x1))))) -> 4(4(5(2(5(0(x1)))))) 16.03/4.49 Bounds Processor: 16.03/4.49 bound: 1 16.03/4.49 enrichment: match 16.03/4.49 automaton: 16.03/4.49 final states: {167,164,161,158,153,148,146,142,137,132,127,122,118, 16.03/4.49 114,111,105,102,99,94,91,89,84,80,76,72,71,67,62,60, 16.03/4.49 56,52,46,45,42,39,34,33,28,25,21,19,13,12,10,9,6,1} 16.08/4.49 transitions: 16.08/4.49 41(174) -> 175* 16.08/4.49 11(173) -> 174* 16.08/4.49 21(172) -> 173* 16.08/4.49 51(171) -> 172* 16.08/4.49 01(170) -> 171* 16.08/4.49 f60() -> 2* 16.08/4.49 20(70) -> 67* 16.08/4.49 20(40) -> 41* 16.08/4.49 20(30) -> 31* 16.08/4.49 20(5) -> 1* 16.08/4.49 20(77) -> 78* 16.08/4.49 20(47) -> 81* 16.08/4.49 20(37) -> 38* 16.08/4.49 20(27) -> 25* 16.08/4.49 20(17) -> 18* 16.08/4.49 20(7) -> 11* 16.08/4.49 20(2) -> 106* 16.08/4.49 20(154) -> 155* 16.08/4.49 20(134) -> 135* 16.08/4.49 20(119) -> 120* 16.08/4.49 20(69) -> 70* 16.08/4.49 20(64) -> 65* 16.08/4.49 20(49) -> 50* 16.08/4.49 20(29) -> 30* 16.08/4.49 20(24) -> 43* 16.08/4.49 20(9) -> 71* 16.08/4.49 20(151) -> 152* 16.08/4.49 20(126) -> 122* 16.08/4.49 20(96) -> 162* 16.08/4.49 20(81) -> 82* 16.08/4.49 20(36) -> 92* 16.08/4.49 20(6) -> 33* 16.08/4.49 20(163) -> 161* 16.08/4.49 20(143) -> 144* 16.08/4.49 20(113) -> 111* 16.08/4.49 20(78) -> 79* 16.08/4.49 20(73) -> 74* 16.08/4.49 20(58) -> 59* 16.08/4.49 20(53) -> 54* 16.08/4.49 20(38) -> 34* 16.08/4.49 20(23) -> 24* 16.08/4.49 20(3) -> 7* 16.08/4.49 20(150) -> 151* 16.08/4.49 20(145) -> 142* 16.08/4.49 20(140) -> 141* 16.08/4.49 20(135) -> 136* 16.08/4.49 20(130) -> 131* 16.08/4.49 20(125) -> 126* 16.08/4.49 20(95) -> 96* 16.08/4.49 20(85) -> 86* 16.08/4.49 30(75) -> 72* 16.08/4.49 30(35) -> 36* 16.08/4.49 30(20) -> 19* 16.08/4.49 30(97) -> 98* 16.08/4.49 30(82) -> 103* 16.08/4.49 30(2) -> 47* 16.08/4.49 30(149) -> 150* 16.08/4.49 30(59) -> 56* 16.08/4.49 30(24) -> 21* 16.08/4.49 30(4) -> 5* 16.08/4.49 30(136) -> 132* 16.08/4.49 30(106) -> 107* 16.08/4.49 30(86) -> 87* 16.08/4.49 30(66) -> 62* 16.08/4.49 30(41) -> 39* 16.08/4.49 30(31) -> 32* 16.08/4.49 30(11) -> 90* 16.08/4.49 30(133) -> 143* 16.08/4.49 30(108) -> 109* 16.08/4.49 30(98) -> 94* 16.08/4.49 30(88) -> 84* 16.08/4.49 30(68) -> 69* 16.08/4.49 30(63) -> 119* 16.08/4.49 30(53) -> 115* 16.08/4.49 30(18) -> 13* 16.08/4.49 30(8) -> 9* 16.08/4.49 30(3) -> 85* 16.08/4.49 10(65) -> 66* 16.08/4.49 10(50) -> 51* 16.08/4.49 10(25) -> 45* 16.08/4.49 10(162) -> 163* 16.08/4.49 10(112) -> 113* 16.08/4.49 10(107) -> 108* 16.08/4.49 10(87) -> 88* 16.08/4.49 10(82) -> 83* 16.08/4.49 10(47) -> 128* 16.08/4.49 10(22) -> 133* 16.08/4.49 10(7) -> 8* 16.08/4.49 10(2) -> 35* 16.08/4.49 10(159) -> 160* 16.08/4.49 10(79) -> 76* 16.08/4.49 10(54) -> 55* 16.08/4.49 10(44) -> 42* 16.08/4.49 10(14) -> 15* 16.08/4.49 10(131) -> 127* 16.08/4.49 10(101) -> 99* 16.08/4.49 10(96) -> 97* 16.08/4.49 10(11) -> 10* 16.08/4.49 10(138) -> 139* 16.08/4.49 10(43) -> 44* 16.08/4.49 10(3) -> 4* 16.08/4.49 10(165) -> 166* 16.08/4.49 10(160) -> 158* 16.08/4.49 10(120) -> 121* 16.08/4.49 10(115) -> 116* 16.08/4.49 10(100) -> 101* 16.08/4.49 00(35) -> 73* 16.08/4.49 00(15) -> 16* 16.08/4.49 00(10) -> 61* 16.08/4.49 00(152) -> 148* 16.08/4.49 00(57) -> 58* 16.08/4.49 00(47) -> 77* 16.08/4.49 00(22) -> 23* 16.08/4.49 00(2) -> 3* 16.08/4.49 00(144) -> 145* 16.08/4.49 00(139) -> 140* 16.08/4.49 00(129) -> 130* 16.08/4.49 00(124) -> 125* 16.08/4.49 00(109) -> 110* 16.08/4.49 00(104) -> 102* 16.08/4.49 00(14) -> 95* 16.08/4.49 00(121) -> 118* 16.08/4.49 00(51) -> 46* 16.08/4.49 00(36) -> 37* 16.08/4.49 00(133) -> 134* 16.08/4.49 00(123) -> 124* 16.08/4.49 00(93) -> 91* 16.08/4.49 00(83) -> 80* 16.08/4.49 00(63) -> 64* 16.08/4.49 00(8) -> 6* 16.08/4.49 00(3) -> 29* 16.08/4.49 00(155) -> 156* 16.08/4.49 40(55) -> 52* 16.08/4.49 40(35) -> 154* 16.08/4.49 40(20) -> 147* 16.08/4.49 40(10) -> 12* 16.08/4.49 40(147) -> 146* 16.08/4.49 40(117) -> 114* 16.08/4.49 40(47) -> 138* 16.08/4.49 40(32) -> 28* 16.08/4.49 40(22) -> 123* 16.08/4.49 40(2) -> 22* 16.08/4.49 40(169) -> 167* 16.08/4.49 40(14) -> 149* 16.08/4.49 40(4) -> 40* 16.08/4.49 40(166) -> 164* 16.08/4.49 40(116) -> 117* 16.08/4.49 40(168) -> 169* 16.08/4.49 40(128) -> 129* 16.08/4.49 40(103) -> 104* 16.08/4.49 40(53) -> 68* 16.08/4.49 40(8) -> 20* 16.08/4.49 40(90) -> 89* 16.08/4.49 50(35) -> 57* 16.08/4.49 50(157) -> 153* 16.08/4.49 50(92) -> 93* 16.08/4.49 50(47) -> 48* 16.08/4.49 50(2) -> 14* 16.08/4.49 50(74) -> 75* 16.08/4.49 50(54) -> 168* 16.08/4.49 50(24) -> 159* 16.08/4.49 50(14) -> 63* 16.08/4.49 50(156) -> 157* 16.08/4.49 50(141) -> 137* 16.08/4.49 50(96) -> 100* 16.08/4.49 50(86) -> 112* 16.08/4.49 50(61) -> 60* 16.08/4.49 50(26) -> 27* 16.08/4.49 50(16) -> 17* 16.08/4.49 50(11) -> 165* 16.08/4.49 50(48) -> 49* 16.08/4.49 50(23) -> 26* 16.08/4.49 50(3) -> 53* 16.08/4.49 50(110) -> 105* 16.08/4.49 1 -> 106* 16.08/4.49 2 -> 170* 16.08/4.49 6 -> 106* 16.08/4.49 9 -> 106* 16.08/4.49 10 -> 106* 16.08/4.49 12 -> 106* 16.08/4.49 13 -> 106* 16.08/4.49 19 -> 22* 16.08/4.49 21 -> 106* 16.08/4.49 25 -> 106* 16.08/4.49 28 -> 106* 16.08/4.49 33 -> 106* 16.08/4.49 34 -> 106* 16.08/4.49 39 -> 22* 16.08/4.49 42 -> 22* 16.08/4.49 45 -> 22* 16.08/4.49 46 -> 14* 16.08/4.49 52 -> 106,155 16.08/4.49 56 -> 106* 16.08/4.49 60 -> 106* 16.08/4.49 62 -> 106* 16.08/4.49 67 -> 106* 16.08/4.49 71 -> 106* 16.08/4.49 72 -> 106* 16.08/4.49 76 -> 106* 16.08/4.49 80 -> 106* 16.08/4.49 84 -> 106* 16.08/4.49 89 -> 106* 16.08/4.49 91 -> 106* 16.08/4.49 94 -> 106* 16.08/4.49 99 -> 14* 16.08/4.49 102 -> 106* 16.08/4.49 105 -> 14* 16.08/4.49 111 -> 106* 16.08/4.49 114 -> 22,154 16.08/4.49 118 -> 106* 16.08/4.49 122 -> 106* 16.08/4.49 127 -> 106* 16.08/4.49 132 -> 106* 16.08/4.49 137 -> 14* 16.08/4.49 142 -> 106* 16.08/4.49 146 -> 22,154 16.08/4.49 148 -> 106* 16.08/4.49 153 -> 106* 16.08/4.49 158 -> 106* 16.08/4.49 161 -> 106* 16.08/4.49 164 -> 106* 16.08/4.49 167 -> 106* 16.08/4.49 175 -> 41* 16.08/4.49 problem: 16.08/4.49 16.08/4.49 Qed 16.08/4.50 EOF