9.43/2.75 YES 9.45/2.76 9.45/2.76 Problem: 9.45/2.76 0(4(x1)) -> 0(1(4(2(3(3(x1)))))) 9.45/2.76 0(4(x1)) -> 0(2(1(4(3(4(x1)))))) 9.45/2.76 0(0(4(x1))) -> 1(1(5(2(3(4(x1)))))) 9.45/2.76 0(1(1(x1))) -> 0(2(2(1(1(1(x1)))))) 9.45/2.76 0(1(3(x1))) -> 0(2(4(3(4(4(x1)))))) 9.45/2.76 0(2(4(x1))) -> 1(5(4(3(4(4(x1)))))) 9.45/2.76 0(4(0(x1))) -> 0(1(2(1(0(3(x1)))))) 9.45/2.76 1(2(3(x1))) -> 5(1(4(1(4(4(x1)))))) 9.45/2.76 1(3(3(x1))) -> 0(2(1(1(0(5(x1)))))) 9.45/2.76 1(3(3(x1))) -> 5(4(0(3(2(3(x1)))))) 9.45/2.76 1(3(5(x1))) -> 1(1(4(3(3(2(x1)))))) 9.45/2.76 2(0(0(x1))) -> 2(4(3(4(4(4(x1)))))) 9.45/2.76 2(0(1(x1))) -> 2(1(5(1(0(1(x1)))))) 9.45/2.76 2(0(1(x1))) -> 2(4(3(5(2(3(x1)))))) 9.45/2.76 2(0(4(x1))) -> 2(0(2(1(4(3(x1)))))) 9.45/2.76 2(0(4(x1))) -> 2(4(1(4(3(1(x1)))))) 9.45/2.76 3(0(1(x1))) -> 3(1(4(3(4(1(x1)))))) 9.45/2.76 3(0(5(x1))) -> 3(1(0(2(3(2(x1)))))) 9.45/2.76 4(0(0(x1))) -> 2(5(2(1(1(1(x1)))))) 9.45/2.76 4(0(5(x1))) -> 4(1(4(5(1(4(x1)))))) 9.45/2.76 4(0(5(x1))) -> 4(2(1(4(3(5(x1)))))) 9.45/2.76 5(0(2(x1))) -> 1(5(2(1(0(2(x1)))))) 9.45/2.76 5(0(4(x1))) -> 1(0(3(2(4(4(x1)))))) 9.45/2.76 5(0(4(x1))) -> 1(5(1(0(3(4(x1)))))) 9.45/2.76 9.45/2.76 Proof: 9.45/2.76 Bounds Processor: 9.45/2.76 bound: 1 9.45/2.76 enrichment: match 9.45/2.76 automaton: 9.45/2.76 final states: {110,106,101,96,91,89,85,80,75,70,66,61,57,51,46,40,36,31,29,24,18,14,8,1} 9.45/2.76 transitions: 9.45/2.76 11(147) -> 148* 9.45/2.76 11(129) -> 130* 9.45/2.76 11(119) -> 120* 9.45/2.76 11(128) -> 129* 9.45/2.76 11(130) -> 131* 9.45/2.76 51(146) -> 147* 9.45/2.76 51(118) -> 119* 9.45/2.76 41(142) -> 143* 9.45/2.76 41(117) -> 118* 9.45/2.76 41(114) -> 115* 9.45/2.76 41(158) -> 159* 9.45/2.76 41(143) -> 144* 9.45/2.76 41(160) -> 161* 9.45/2.76 41(145) -> 146* 9.45/2.76 41(115) -> 116* 9.45/2.76 31(144) -> 145* 9.45/2.76 31(116) -> 117* 9.45/2.76 01(133) -> 134* 9.45/2.76 21(132) -> 133* 9.45/2.76 21(131) -> 132* 9.45/2.76 f60() -> 2* 9.45/2.76 00(45) -> 40* 9.45/2.76 00(35) -> 31* 9.45/2.76 00(10) -> 111* 9.45/2.76 00(52) -> 102* 9.45/2.76 00(7) -> 1* 9.45/2.76 00(19) -> 62* 9.45/2.76 00(86) -> 87* 9.45/2.76 00(41) -> 42* 9.45/2.76 00(108) -> 109* 9.45/2.76 00(73) -> 74* 9.45/2.76 00(48) -> 49* 9.45/2.76 00(28) -> 24* 9.45/2.76 00(23) -> 18* 9.45/2.76 00(13) -> 8* 9.45/2.76 00(3) -> 32* 9.45/2.76 10(55) -> 56* 9.45/2.76 10(30) -> 29* 9.45/2.76 10(25) -> 37* 9.45/2.76 10(20) -> 21* 9.45/2.76 10(102) -> 103* 9.45/2.76 10(87) -> 88* 9.45/2.76 10(77) -> 78* 9.45/2.76 10(62) -> 63* 9.45/2.76 10(42) -> 43* 9.45/2.76 10(32) -> 33* 9.45/2.76 10(17) -> 14* 9.45/2.76 10(2) -> 19* 9.45/2.76 10(109) -> 106* 9.45/2.76 10(94) -> 95* 9.45/2.76 10(64) -> 65* 9.45/2.76 10(34) -> 35* 9.45/2.76 10(19) -> 20* 9.45/2.76 10(9) -> 92* 9.45/2.76 10(111) -> 112* 9.45/2.76 10(71) -> 72* 9.45/2.76 10(56) -> 51* 9.45/2.76 10(16) -> 17* 9.45/2.76 10(11) -> 12* 9.45/2.76 10(6) -> 7* 9.45/2.76 10(113) -> 110* 9.45/2.76 10(98) -> 99* 9.45/2.76 10(83) -> 84* 9.45/2.76 10(43) -> 44* 9.45/2.76 10(38) -> 39* 9.45/2.76 10(105) -> 101* 9.45/2.76 40(25) -> 58* 9.45/2.76 40(10) -> 11* 9.45/2.76 40(5) -> 6* 9.45/2.76 40(97) -> 98* 9.45/2.76 40(82) -> 83* 9.45/2.76 40(37) -> 38* 9.45/2.76 40(2) -> 9* 9.45/2.76 40(59) -> 60* 9.45/2.76 40(54) -> 55* 9.45/2.76 40(49) -> 50* 9.45/2.76 40(19) -> 81* 9.45/2.76 40(9) -> 25* 9.45/2.76 40(76) -> 77* 9.45/2.76 40(26) -> 27* 9.45/2.76 40(93) -> 94* 9.45/2.76 40(78) -> 79* 9.45/2.76 40(68) -> 69* 9.45/2.76 40(3) -> 71* 9.45/2.76 40(100) -> 96* 9.45/2.76 40(95) -> 91* 9.45/2.76 20(65) -> 61* 9.45/2.76 20(60) -> 57* 9.45/2.76 20(25) -> 107* 9.45/2.76 20(10) -> 15* 9.45/2.76 20(72) -> 73* 9.45/2.76 20(27) -> 28* 9.45/2.76 20(22) -> 23* 9.45/2.76 20(12) -> 13* 9.45/2.76 20(2) -> 52* 9.45/2.76 20(99) -> 100* 9.45/2.76 20(79) -> 75* 9.45/2.76 20(74) -> 70* 9.45/2.76 20(69) -> 66* 9.45/2.76 20(44) -> 45* 9.45/2.76 20(4) -> 5* 9.45/2.76 20(21) -> 22* 9.45/2.76 20(103) -> 104* 9.45/2.76 20(53) -> 86* 9.45/2.76 20(33) -> 34* 9.45/2.76 20(3) -> 47* 9.45/2.76 20(90) -> 89* 9.45/2.76 30(25) -> 26* 9.45/2.76 30(107) -> 108* 9.45/2.76 30(67) -> 68* 9.45/2.76 30(52) -> 53* 9.45/2.76 30(47) -> 48* 9.45/2.76 30(2) -> 3* 9.45/2.76 30(84) -> 80* 9.45/2.76 30(19) -> 76* 9.45/2.76 30(9) -> 10* 9.45/2.76 30(81) -> 82* 9.45/2.76 30(41) -> 97* 9.45/2.76 30(88) -> 85* 9.45/2.76 30(58) -> 59* 9.45/2.76 30(53) -> 54* 9.45/2.76 30(3) -> 4* 9.45/2.76 50(50) -> 46* 9.45/2.76 50(15) -> 16* 9.45/2.76 50(112) -> 113* 9.45/2.76 50(92) -> 93* 9.45/2.76 50(47) -> 67* 9.45/2.76 50(27) -> 30* 9.45/2.76 50(22) -> 90* 9.45/2.76 50(2) -> 41* 9.45/2.76 50(104) -> 105* 9.45/2.76 50(39) -> 36* 9.45/2.76 50(63) -> 64* 9.45/2.76 18 -> 62* 9.45/2.76 24 -> 62* 9.45/2.76 26 -> 114* 9.45/2.76 29 -> 102* 9.45/2.76 36 -> 19* 9.45/2.76 40 -> 19* 9.45/2.76 46 -> 19* 9.45/2.76 51 -> 19* 9.45/2.76 55 -> 128* 9.45/2.76 57 -> 52* 9.45/2.76 59 -> 142* 9.45/2.76 61 -> 52* 9.45/2.76 66 -> 52* 9.45/2.76 68 -> 158* 9.45/2.76 70 -> 52* 9.45/2.76 75 -> 52* 9.45/2.76 78 -> 160* 9.45/2.76 80 -> 3* 9.45/2.76 85 -> 3* 9.45/2.76 89 -> 9* 9.45/2.76 91 -> 9* 9.45/2.76 96 -> 9* 9.45/2.76 101 -> 41* 9.45/2.76 106 -> 41* 9.45/2.76 110 -> 41* 9.45/2.76 120 -> 24* 9.45/2.76 134 -> 62* 9.45/2.76 148 -> 102* 9.45/2.76 159 -> 143* 9.45/2.76 161 -> 143* 9.45/2.76 problem: 9.45/2.76 9.45/2.76 Qed 9.45/2.76 EOF