7.29/2.20 YES 7.29/2.21 7.29/2.21 Problem: 7.29/2.21 1(3(3(x1))) -> 3(5(3(2(5(0(2(4(5(4(x1)))))))))) 7.29/2.21 0(3(3(3(x1)))) -> 5(4(3(5(3(0(5(4(4(0(x1)))))))))) 7.29/2.21 0(3(3(3(1(x1))))) -> 5(4(4(0(3(1(0(5(1(0(x1)))))))))) 7.29/2.21 1(2(3(3(3(x1))))) -> 4(1(1(2(3(5(0(4(0(5(x1)))))))))) 7.29/2.21 1(4(4(2(2(x1))))) -> 1(1(2(0(1(1(1(0(2(2(x1)))))))))) 7.29/2.21 0(3(3(1(4(3(x1)))))) -> 4(4(3(0(2(3(0(3(0(0(x1)))))))))) 7.29/2.21 3(3(3(3(4(0(x1)))))) -> 3(0(0(2(1(0(5(3(5(4(x1)))))))))) 7.29/2.21 4(0(1(3(4(0(x1)))))) -> 2(2(3(0(0(0(5(0(0(0(x1)))))))))) 7.29/2.21 4(1(4(4(4(1(x1)))))) -> 4(1(0(3(3(5(5(5(4(1(x1)))))))))) 7.29/2.21 0(1(3(5(2(2(3(x1))))))) -> 0(3(0(0(5(0(0(4(4(3(x1)))))))))) 7.29/2.21 0(2(3(1(3(2(5(x1))))))) -> 0(4(3(1(2(3(2(3(2(0(x1)))))))))) 7.29/2.21 1(1(3(3(5(3(1(x1))))))) -> 3(5(0(5(3(2(5(0(0(1(x1)))))))))) 7.29/2.21 3(5(2(0(1(3(3(x1))))))) -> 3(4(3(2(3(2(4(4(5(5(x1)))))))))) 7.29/2.21 4(1(4(2(4(0(1(x1))))))) -> 5(2(2(1(0(5(5(4(5(1(x1)))))))))) 7.29/2.21 4(5(1(2(4(4(4(x1))))))) -> 4(1(1(4(5(3(0(1(0(4(x1)))))))))) 7.29/2.21 5(1(4(5(3(3(3(x1))))))) -> 5(1(4(5(3(4(4(2(3(2(x1)))))))))) 7.29/2.21 7.29/2.21 Proof: 7.29/2.21 String Reversal Processor: 7.29/2.21 3(3(1(x1))) -> 4(5(4(2(0(5(2(3(5(3(x1)))))))))) 7.29/2.21 3(3(3(0(x1)))) -> 0(4(4(5(0(3(5(3(4(5(x1)))))))))) 7.29/2.21 1(3(3(3(0(x1))))) -> 0(1(5(0(1(3(0(4(4(5(x1)))))))))) 7.29/2.21 3(3(3(2(1(x1))))) -> 5(0(4(0(5(3(2(1(1(4(x1)))))))))) 7.29/2.21 2(2(4(4(1(x1))))) -> 2(2(0(1(1(1(0(2(1(1(x1)))))))))) 7.29/2.21 3(4(1(3(3(0(x1)))))) -> 0(0(3(0(3(2(0(3(4(4(x1)))))))))) 7.29/2.21 0(4(3(3(3(3(x1)))))) -> 4(5(3(5(0(1(2(0(0(3(x1)))))))))) 7.29/2.21 0(4(3(1(0(4(x1)))))) -> 0(0(0(5(0(0(0(3(2(2(x1)))))))))) 7.29/2.21 1(4(4(4(1(4(x1)))))) -> 1(4(5(5(5(3(3(0(1(4(x1)))))))))) 7.29/2.21 3(2(2(5(3(1(0(x1))))))) -> 3(4(4(0(0(5(0(0(3(0(x1)))))))))) 7.29/2.21 5(2(3(1(3(2(0(x1))))))) -> 0(2(3(2(3(2(1(3(4(0(x1)))))))))) 7.29/2.21 1(3(5(3(3(1(1(x1))))))) -> 1(0(0(5(2(3(5(0(5(3(x1)))))))))) 7.29/2.21 3(3(1(0(2(5(3(x1))))))) -> 5(5(4(4(2(3(2(3(4(3(x1)))))))))) 7.29/2.21 1(0(4(2(4(1(4(x1))))))) -> 1(5(4(5(5(0(1(2(2(5(x1)))))))))) 7.29/2.21 4(4(4(2(1(5(4(x1))))))) -> 4(0(1(0(3(5(4(1(1(4(x1)))))))))) 7.29/2.21 3(3(3(5(4(1(5(x1))))))) -> 2(3(2(4(4(3(5(4(1(5(x1)))))))))) 7.29/2.21 Bounds Processor: 7.29/2.21 bound: 0 7.29/2.21 enrichment: match 7.29/2.21 automaton: 7.29/2.21 final states: {138,131,122,113,105,96,86,78,68,59,50,40,30,22,12,1} 7.29/2.21 transitions: 7.29/2.21 f60() -> 2* 7.29/2.21 40(20) -> 21* 7.29/2.21 40(142) -> 143* 7.29/2.21 40(137) -> 131* 7.29/2.21 40(87) -> 97* 7.29/2.21 40(67) -> 59* 7.29/2.21 40(37) -> 38* 7.29/2.21 40(2) -> 31* 7.29/2.21 40(139) -> 140* 7.29/2.21 40(119) -> 120* 7.29/2.21 40(94) -> 95* 7.29/2.21 40(84) -> 85* 7.29/2.21 40(19) -> 20* 7.29/2.21 40(14) -> 23* 7.29/2.21 40(9) -> 10* 7.29/2.21 40(31) -> 51* 7.29/2.21 40(11) -> 1* 7.29/2.21 40(143) -> 144* 7.29/2.21 40(128) -> 129* 7.29/2.21 40(118) -> 119* 7.29/2.21 40(93) -> 94* 7.29/2.21 40(33) -> 132* 7.29/2.21 40(13) -> 14* 7.29/2.21 40(3) -> 114* 7.29/2.21 50(35) -> 36* 7.29/2.21 50(15) -> 16* 7.29/2.21 50(10) -> 11* 7.29/2.21 50(132) -> 133* 7.29/2.21 50(127) -> 128* 7.29/2.21 50(82) -> 83* 7.29/2.21 50(27) -> 28* 7.29/2.21 50(2) -> 13* 7.29/2.21 50(129) -> 130* 7.29/2.21 50(109) -> 110* 7.29/2.21 50(74) -> 75* 7.29/2.21 50(64) -> 65* 7.29/2.21 50(39) -> 30* 7.29/2.21 50(126) -> 127* 7.29/2.21 50(121) -> 113* 7.29/2.21 50(106) -> 107* 7.29/2.21 50(81) -> 82* 7.29/2.21 50(66) -> 67* 7.29/2.21 50(6) -> 7* 7.29/2.21 50(83) -> 84* 7.29/2.21 50(18) -> 19* 7.29/2.21 50(3) -> 4* 7.29/2.21 50(140) -> 141* 7.29/2.21 50(120) -> 121* 7.29/2.21 50(90) -> 91* 7.29/2.21 20(5) -> 6* 7.29/2.21 20(117) -> 118* 7.29/2.21 20(42) -> 43* 7.29/2.21 20(2) -> 69* 7.29/2.21 20(144) -> 145* 7.29/2.21 20(99) -> 100* 7.29/2.21 20(69) -> 70* 7.29/2.21 20(49) -> 40* 7.29/2.21 20(146) -> 138* 7.29/2.21 20(101) -> 102* 7.29/2.21 20(61) -> 62* 7.29/2.21 20(123) -> 124* 7.29/2.21 20(108) -> 109* 7.29/2.21 20(103) -> 104* 7.29/2.21 20(53) -> 54* 7.29/2.21 20(48) -> 49* 7.29/2.21 20(33) -> 34* 7.29/2.21 20(13) -> 123* 7.29/2.21 20(8) -> 9* 7.29/2.21 20(115) -> 116* 7.29/2.21 00(75) -> 76* 7.29/2.21 00(60) -> 61* 7.29/2.21 00(55) -> 56* 7.29/2.21 00(92) -> 93* 7.29/2.21 00(77) -> 68* 7.29/2.21 00(72) -> 73* 7.29/2.21 00(57) -> 58* 7.29/2.21 00(52) -> 53* 7.29/2.21 00(47) -> 48* 7.29/2.21 00(32) -> 79* 7.29/2.21 00(17) -> 18* 7.29/2.21 00(7) -> 8* 7.29/2.21 00(2) -> 87* 7.29/2.21 00(134) -> 135* 7.29/2.21 00(104) -> 96* 7.29/2.21 00(89) -> 90* 7.29/2.21 00(29) -> 22* 7.29/2.21 00(4) -> 106* 7.29/2.21 00(136) -> 137* 7.29/2.21 00(111) -> 112* 7.29/2.21 00(91) -> 92* 7.29/2.21 00(76) -> 77* 7.29/2.21 00(71) -> 72* 7.29/2.21 00(36) -> 37* 7.29/2.21 00(26) -> 27* 7.29/2.21 00(21) -> 12* 7.29/2.21 00(88) -> 89* 7.29/2.21 00(73) -> 74* 7.29/2.21 00(63) -> 64* 7.29/2.21 00(58) -> 50* 7.29/2.21 00(43) -> 44* 7.29/2.21 00(38) -> 39* 7.29/2.21 00(23) -> 24* 7.29/2.21 00(3) -> 60* 7.29/2.21 00(125) -> 126* 7.29/2.21 00(110) -> 111* 7.29/2.21 30(80) -> 81* 7.29/2.21 30(70) -> 71* 7.29/2.21 30(65) -> 66* 7.29/2.21 30(107) -> 108* 7.29/2.21 30(102) -> 103* 7.29/2.21 30(97) -> 98* 7.29/2.21 30(87) -> 88* 7.29/2.21 30(2) -> 3* 7.29/2.21 30(114) -> 115* 7.29/2.21 30(79) -> 80* 7.29/2.21 30(54) -> 55* 7.29/2.21 30(34) -> 35* 7.29/2.21 30(24) -> 25* 7.29/2.21 30(14) -> 15* 7.29/2.21 30(4) -> 5* 7.29/2.21 30(141) -> 142* 7.29/2.21 30(116) -> 117* 7.29/2.21 30(56) -> 57* 7.29/2.21 30(51) -> 52* 7.29/2.21 30(16) -> 17* 7.29/2.21 30(133) -> 134* 7.29/2.21 30(145) -> 146* 7.29/2.21 30(100) -> 101* 7.29/2.21 30(95) -> 86* 7.29/2.21 10(45) -> 46* 7.29/2.21 10(25) -> 26* 7.29/2.21 10(112) -> 105* 7.29/2.21 10(62) -> 63* 7.29/2.21 10(32) -> 33* 7.29/2.21 10(2) -> 41* 7.29/2.21 10(124) -> 125* 7.29/2.21 10(44) -> 45* 7.29/2.21 10(46) -> 47* 7.29/2.21 10(41) -> 42* 7.29/2.21 10(31) -> 32* 7.29/2.21 10(98) -> 99* 7.29/2.21 10(28) -> 29* 7.29/2.21 10(13) -> 139* 7.29/2.21 10(135) -> 136* 7.29/2.21 10(130) -> 122* 7.29/2.21 10(85) -> 78* 7.29/2.21 1 -> 3* 7.29/2.21 12 -> 3* 7.29/2.21 22 -> 41* 7.29/2.21 30 -> 3* 7.29/2.21 40 -> 69,70 7.29/2.21 50 -> 3* 7.29/2.21 59 -> 87* 7.29/2.21 68 -> 87* 7.29/2.21 78 -> 41,32 7.29/2.21 86 -> 3,71 7.29/2.21 96 -> 13* 7.29/2.21 105 -> 41* 7.29/2.21 113 -> 3* 7.29/2.21 122 -> 41* 7.29/2.21 131 -> 31,51 7.29/2.21 138 -> 3* 7.29/2.21 problem: 7.29/2.21 7.29/2.21 Qed 7.29/2.21 EOF