30.39/8.17 YES 30.39/8.19 30.39/8.19 Problem: 30.39/8.19 0(1(1(x1))) -> 1(2(1(2(0(x1))))) 30.39/8.19 0(3(1(x1))) -> 1(3(2(2(0(x1))))) 30.39/8.19 0(3(1(x1))) -> 3(2(1(2(0(x1))))) 30.39/8.19 0(3(1(x1))) -> 1(3(3(3(2(0(x1)))))) 30.39/8.19 0(4(1(x1))) -> 2(1(2(0(4(x1))))) 30.39/8.19 0(0(4(5(x1)))) -> 0(0(2(5(4(x1))))) 30.39/8.19 0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1)))))) 30.39/8.19 0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1)))))) 30.39/8.19 0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1)))))) 30.39/8.19 0(1(5(3(x1)))) -> 0(5(3(2(1(x1))))) 30.39/8.19 0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1)))))) 30.39/8.19 0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1)))))) 30.39/8.19 0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1)))))) 30.39/8.19 0(3(1(5(x1)))) -> 0(1(2(5(3(x1))))) 30.39/8.19 0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1)))))) 30.39/8.19 0(3(5(1(x1)))) -> 1(2(5(3(0(x1))))) 30.39/8.19 0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1)))))) 30.39/8.19 0(3(5(5(x1)))) -> 0(3(2(5(5(x1))))) 30.39/8.19 0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1)))))) 30.39/8.19 0(4(1(5(x1)))) -> 1(2(5(0(4(x1))))) 30.39/8.19 0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1)))))) 30.39/8.19 0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1)))))) 30.39/8.19 3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1)))))) 30.39/8.19 3(0(3(1(x1)))) -> 1(3(3(2(0(x1))))) 30.39/8.19 3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1)))))) 30.39/8.19 3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1)))))) 30.39/8.19 3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1)))))) 30.39/8.19 4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1)))))) 30.39/8.19 4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1)))))) 30.39/8.19 4(4(1(5(x1)))) -> 4(1(2(5(4(x1))))) 30.39/8.19 0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1)))))) 30.39/8.19 0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1)))))) 30.39/8.19 0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1)))))) 30.39/8.19 0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1)))))) 30.39/8.19 0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1)))))) 30.39/8.19 0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1)))))) 30.39/8.19 0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1)))))) 30.39/8.19 0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1)))))) 30.39/8.19 3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1)))))) 30.39/8.19 3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1)))))) 30.39/8.19 3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1)))))) 30.39/8.19 3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1)))))) 30.39/8.19 4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1)))))) 30.39/8.19 4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1)))))) 30.39/8.19 4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1)))))) 30.39/8.19 4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1)))))) 30.39/8.19 4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1)))))) 30.39/8.19 4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1)))))) 30.39/8.19 4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1)))))) 30.39/8.19 4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1)))))) 30.39/8.19 30.39/8.19 Proof: 30.39/8.19 String Reversal Processor: 30.39/8.19 1(1(0(x1))) -> 0(2(1(2(1(x1))))) 30.39/8.19 1(3(0(x1))) -> 0(2(2(3(1(x1))))) 30.39/8.19 1(3(0(x1))) -> 0(2(1(2(3(x1))))) 30.39/8.19 1(3(0(x1))) -> 0(2(3(3(3(1(x1)))))) 30.39/8.19 1(4(0(x1))) -> 4(0(2(1(2(x1))))) 30.39/8.19 5(4(0(0(x1)))) -> 4(5(2(0(0(x1))))) 30.39/8.19 1(4(1(0(x1)))) -> 1(4(2(2(1(0(x1)))))) 30.39/8.19 5(4(1(0(x1)))) -> 4(5(2(1(0(4(x1)))))) 30.39/8.19 1(5(1(0(x1)))) -> 1(0(5(2(2(1(x1)))))) 30.39/8.19 3(5(1(0(x1)))) -> 1(2(3(5(0(x1))))) 30.39/8.19 1(4(2(0(x1)))) -> 4(0(2(3(3(1(x1)))))) 30.39/8.19 1(4(2(0(x1)))) -> 4(0(2(1(2(4(x1)))))) 30.39/8.19 5(4(2(0(x1)))) -> 4(0(5(2(2(0(x1)))))) 30.39/8.19 5(1(3(0(x1)))) -> 3(5(2(1(0(x1))))) 30.39/8.19 5(1(3(0(x1)))) -> 4(0(3(5(2(1(x1)))))) 30.39/8.19 1(5(3(0(x1)))) -> 0(3(5(2(1(x1))))) 30.39/8.19 1(5(3(0(x1)))) -> 3(2(1(2(5(0(x1)))))) 30.39/8.19 5(5(3(0(x1)))) -> 5(5(2(3(0(x1))))) 30.39/8.19 1(0(4(0(x1)))) -> 1(0(4(4(0(2(x1)))))) 30.39/8.19 5(1(4(0(x1)))) -> 4(0(5(2(1(x1))))) 30.39/8.19 5(3(4(0(x1)))) -> 4(5(2(3(4(0(x1)))))) 30.39/8.19 1(5(4(0(x1)))) -> 1(0(4(4(5(2(x1)))))) 30.39/8.19 5(1(0(3(x1)))) -> 4(5(0(4(1(3(x1)))))) 30.39/8.19 1(3(0(3(x1)))) -> 0(2(3(3(1(x1))))) 30.39/8.19 5(3(0(3(x1)))) -> 3(2(0(5(2(3(x1)))))) 30.39/8.19 1(0(3(3(x1)))) -> 3(2(2(3(1(0(x1)))))) 30.39/8.19 1(5(4(3(x1)))) -> 1(2(4(5(2(3(x1)))))) 30.39/8.19 5(3(1(4(x1)))) -> 4(4(3(5(2(1(x1)))))) 30.39/8.19 1(5(1(4(x1)))) -> 1(2(1(5(4(4(x1)))))) 30.39/8.19 5(1(4(4(x1)))) -> 4(5(2(1(4(x1))))) 30.39/8.19 5(5(4(1(0(x1))))) -> 5(2(4(1(5(0(x1)))))) 30.39/8.19 5(4(1(2(0(x1))))) -> 4(5(2(1(0(0(x1)))))) 30.39/8.19 5(5(1(2(0(x1))))) -> 5(5(2(2(1(0(x1)))))) 30.39/8.19 1(4(2(4(0(x1))))) -> 4(4(0(2(3(1(x1)))))) 30.39/8.19 3(4(5(4(0(x1))))) -> 3(4(4(0(5(2(x1)))))) 30.39/8.19 1(5(1(5(0(x1))))) -> 5(2(1(1(5(0(x1)))))) 30.39/8.19 5(1(2(5(0(x1))))) -> 4(0(5(5(2(1(x1)))))) 30.39/8.19 1(4(2(5(0(x1))))) -> 0(2(1(2(5(4(x1)))))) 30.39/8.19 1(4(1(0(3(x1))))) -> 1(3(1(4(4(0(x1)))))) 30.39/8.19 1(4(1(0(3(x1))))) -> 1(1(0(2(3(4(x1)))))) 30.39/8.19 5(5(3(0(3(x1))))) -> 5(0(5(2(3(3(x1)))))) 30.39/8.19 1(3(5(0(3(x1))))) -> 5(2(3(3(0(1(x1)))))) 30.39/8.19 1(4(1(0(4(x1))))) -> 1(3(1(0(4(4(x1)))))) 30.39/8.19 1(5(1(0(4(x1))))) -> 1(4(5(2(1(0(x1)))))) 30.39/8.19 5(4(2(0(4(x1))))) -> 4(0(5(2(0(4(x1)))))) 30.39/8.19 1(5(1(1(4(x1))))) -> 1(4(5(2(1(1(x1)))))) 30.39/8.19 1(4(1(5(4(x1))))) -> 5(1(2(1(4(4(x1)))))) 30.39/8.19 1(3(2(5(4(x1))))) -> 5(2(2(1(3(4(x1)))))) 30.39/8.19 1(3(4(5(4(x1))))) -> 4(3(5(2(1(4(x1)))))) 30.39/8.19 1(3(5(5(4(x1))))) -> 4(5(5(2(3(1(x1)))))) 30.39/8.19 Bounds Processor: 30.39/8.19 bound: 1 30.39/8.19 enrichment: match 30.39/8.19 automaton: 30.39/8.19 final states: {192,190,186,182,177,173,171,167,162,157,152,148,143, 30.39/8.19 140,137,133,130,128,124,120,116,111,109,106,102,98, 30.39/8.19 51,93,88,83,81,76,72,68,67,64,62,57,52,49,45,41,35, 30.39/8.19 30,25,20,16,11,7,1} 30.39/8.19 transitions: 30.39/8.19 f60() -> 2* 30.39/8.19 00(65) -> 82* 30.39/8.19 00(60) -> 61* 30.39/8.19 00(55) -> 56* 30.39/8.19 00(50) -> 51* 30.39/8.19 00(15) -> 11* 30.39/8.19 00(10) -> 7* 30.39/8.19 00(147) -> 143* 30.39/8.19 00(112) -> 168* 30.39/8.19 00(2) -> 26* 30.39/8.19 00(154) -> 155* 30.39/8.19 00(99) -> 100* 30.39/8.19 00(89) -> 134* 30.39/8.19 00(79) -> 80* 30.39/8.19 00(19) -> 16* 30.39/8.19 00(9) -> 131* 30.39/8.19 00(141) -> 142* 30.39/8.19 00(91) -> 92* 30.39/8.19 00(66) -> 67* 30.39/8.19 00(36) -> 37* 30.39/8.19 00(26) -> 27* 30.39/8.19 00(21) -> 77* 30.39/8.19 00(6) -> 1* 30.39/8.19 00(43) -> 44* 30.39/8.19 00(23) -> 24* 30.39/8.19 00(3) -> 163* 30.39/8.19 00(175) -> 176* 30.39/8.19 00(160) -> 161* 30.39/8.19 00(95) -> 96* 30.39/8.19 20(70) -> 71* 30.39/8.19 20(5) -> 6* 30.39/8.19 20(187) -> 188* 30.39/8.19 20(122) -> 123* 30.39/8.19 20(117) -> 118* 30.39/8.19 20(107) -> 108* 30.39/8.19 20(47) -> 48* 30.39/8.19 20(37) -> 174* 30.39/8.19 20(32) -> 33* 30.39/8.19 20(27) -> 28* 30.39/8.19 20(22) -> 23* 30.39/8.19 20(17) -> 50* 30.39/8.19 20(12) -> 13* 30.39/8.19 20(2) -> 21* 30.39/8.19 20(144) -> 145* 30.39/8.19 20(114) -> 115* 30.39/8.19 20(104) -> 105* 30.39/8.19 20(54) -> 55* 30.39/8.19 20(14) -> 15* 30.39/8.19 20(9) -> 10* 30.39/8.19 20(4) -> 42* 30.39/8.19 20(146) -> 147* 30.39/8.19 20(46) -> 69* 30.39/8.19 20(36) -> 53* 30.39/8.19 20(31) -> 32* 30.39/8.19 20(26) -> 58* 30.39/8.19 20(188) -> 189* 30.39/8.19 20(183) -> 184* 30.39/8.19 20(178) -> 179* 30.39/8.19 20(158) -> 159* 30.39/8.19 20(153) -> 154* 30.39/8.19 20(138) -> 139* 30.39/8.19 20(103) -> 104* 30.39/8.19 20(73) -> 74* 30.39/8.19 20(58) -> 59* 30.39/8.19 20(38) -> 39* 30.39/8.19 20(18) -> 19* 30.39/8.19 20(8) -> 9* 30.39/8.19 20(3) -> 4* 30.39/8.19 20(165) -> 166* 30.39/8.19 20(125) -> 126* 30.39/8.19 20(100) -> 101* 30.39/8.19 20(85) -> 86* 30.39/8.19 10(172) -> 171* 30.39/8.19 10(112) -> 183* 30.39/8.19 10(92) -> 88* 30.39/8.19 10(37) -> 38* 30.39/8.19 10(27) -> 125* 30.39/8.19 10(12) -> 94* 30.39/8.19 10(2) -> 3* 30.39/8.19 10(184) -> 185* 30.39/8.19 10(149) -> 150* 30.39/8.19 10(69) -> 70* 30.39/8.19 10(44) -> 41* 30.39/8.19 10(34) -> 30* 30.39/8.19 10(4) -> 5* 30.39/8.19 10(181) -> 177* 30.39/8.19 10(156) -> 152* 30.39/8.19 10(151) -> 148* 30.39/8.19 10(121) -> 138* 30.39/8.19 10(46) -> 121* 30.39/8.19 10(36) -> 117* 30.39/8.19 10(26) -> 31* 30.39/8.19 10(21) -> 22* 30.39/8.19 10(168) -> 169* 30.39/8.19 10(153) -> 187* 30.39/8.19 10(113) -> 114* 30.39/8.19 10(108) -> 106* 30.39/8.19 10(53) -> 54* 30.39/8.19 10(48) -> 45* 30.39/8.19 10(13) -> 14* 30.39/8.19 10(3) -> 178* 30.39/8.19 10(170) -> 167* 30.39/8.19 10(155) -> 156* 30.39/8.19 10(145) -> 146* 30.39/8.19 10(115) -> 111* 30.39/8.19 10(80) -> 76* 30.39/8.19 30(65) -> 66* 30.39/8.19 30(17) -> 18* 30.39/8.19 30(12) -> 158* 30.39/8.19 30(2) -> 12* 30.39/8.19 30(169) -> 170* 30.39/8.19 30(164) -> 165* 30.39/8.19 30(119) -> 191* 30.39/8.19 30(84) -> 85* 30.39/8.19 30(136) -> 133* 30.39/8.19 30(101) -> 98* 30.39/8.19 30(71) -> 68* 30.39/8.19 30(46) -> 47* 30.39/8.19 30(36) -> 153* 30.39/8.19 30(31) -> 103* 30.39/8.19 30(26) -> 73* 30.39/8.19 30(163) -> 164* 30.39/8.19 30(63) -> 62* 30.39/8.19 30(8) -> 17* 30.39/8.19 30(3) -> 8* 30.39/8.19 30(150) -> 151* 30.39/8.19 30(105) -> 102* 30.39/8.19 40(40) -> 35* 30.39/8.19 40(142) -> 140* 30.39/8.19 40(132) -> 130* 30.39/8.19 40(127) -> 124* 30.39/8.19 40(97) -> 93* 30.39/8.19 40(87) -> 83* 30.39/8.19 40(82) -> 81* 30.39/8.19 40(77) -> 78* 30.39/8.19 40(67) -> 64* 30.39/8.19 40(2) -> 36* 30.39/8.19 40(194) -> 192* 30.39/8.19 40(134) -> 135* 30.39/8.19 40(119) -> 116* 30.39/8.19 40(99) -> 107* 30.39/8.19 40(94) -> 95* 30.39/8.19 40(89) -> 90* 30.39/8.19 40(84) -> 149* 30.39/8.19 40(29) -> 25* 30.39/8.19 40(24) -> 20* 30.39/8.19 40(191) -> 190* 30.39/8.19 40(176) -> 173* 30.39/8.19 40(131) -> 132* 30.39/8.19 40(121) -> 122* 30.39/8.19 40(66) -> 110* 30.39/8.19 40(61) -> 57* 30.39/8.19 40(56) -> 52* 30.39/8.19 40(51) -> 49* 30.39/8.19 40(36) -> 112* 30.39/8.19 40(26) -> 84* 30.39/8.19 40(78) -> 79* 30.39/8.19 40(63) -> 172* 30.39/8.19 40(33) -> 34* 30.39/8.19 40(180) -> 181* 30.39/8.19 40(135) -> 136* 30.39/8.19 40(110) -> 109* 30.39/8.19 40(90) -> 91* 30.39/8.19 50(75) -> 72* 30.39/8.19 50(65) -> 141* 30.39/8.19 50(112) -> 113* 30.39/8.19 50(42) -> 43* 30.39/8.19 50(32) -> 63* 30.39/8.19 50(189) -> 186* 30.39/8.19 50(179) -> 180* 30.39/8.19 50(174) -> 175* 30.39/8.19 50(159) -> 160* 30.39/8.19 50(139) -> 137* 30.39/8.19 50(129) -> 128* 30.39/8.19 50(74) -> 75* 30.39/8.19 50(59) -> 60* 30.39/8.19 50(39) -> 40* 30.39/8.19 50(9) -> 193* 30.39/8.19 50(4) -> 65* 30.39/8.19 50(166) -> 162* 30.39/8.19 50(161) -> 157* 30.39/8.19 50(126) -> 127* 30.39/8.19 50(96) -> 97* 30.39/8.19 50(86) -> 87* 30.39/8.19 50(36) -> 144* 30.39/8.19 50(26) -> 46* 30.39/8.19 50(21) -> 89* 30.39/8.19 50(193) -> 194* 30.39/8.19 50(123) -> 120* 30.39/8.19 50(118) -> 119* 30.39/8.19 50(33) -> 129* 30.39/8.19 50(28) -> 29* 30.39/8.19 50(13) -> 99* 30.39/8.19 50(185) -> 182* 30.39/8.19 01(223) -> 224* 30.39/8.19 01(210) -> 211* 30.39/8.19 01(205) -> 206* 30.39/8.19 21(237) -> 238* 30.39/8.19 21(222) -> 223* 30.39/8.19 21(207) -> 208* 30.39/8.19 21(202) -> 203* 30.39/8.19 21(209) -> 210* 30.39/8.19 21(204) -> 205* 30.39/8.19 21(231) -> 232* 30.39/8.19 21(220) -> 221* 30.39/8.19 11(239) -> 240* 30.39/8.19 11(219) -> 220* 30.39/8.19 11(221) -> 222* 30.39/8.19 11(201) -> 202* 30.39/8.19 11(243) -> 244* 30.39/8.19 11(208) -> 209* 30.39/8.19 11(203) -> 204* 30.39/8.19 41(211) -> 212* 30.39/8.19 1 -> 3,178 30.39/8.19 7 -> 3,94 30.39/8.19 11 -> 3,94 30.39/8.19 16 -> 3,94 30.39/8.19 20 -> 3,117 30.39/8.19 23 -> 207* 30.39/8.19 25 -> 144* 30.39/8.19 30 -> 3,117 30.39/8.19 35 -> 144* 30.39/8.19 41 -> 3* 30.39/8.19 43 -> 219* 30.39/8.19 45 -> 12* 30.39/8.19 49 -> 3,117 30.39/8.19 50 -> 231* 30.39/8.19 51 -> 3,94 30.39/8.19 52 -> 3,117 30.39/8.19 55 -> 237* 30.39/8.19 57 -> 144* 30.39/8.19 67 -> 3* 30.39/8.19 68 -> 3* 30.39/8.19 76 -> 3,31,38 30.39/8.19 79 -> 239* 30.39/8.19 88 -> 3* 30.39/8.19 91 -> 243* 30.39/8.19 102 -> 3,31 30.39/8.19 106 -> 3* 30.39/8.19 111 -> 3* 30.39/8.19 124 -> 144* 30.39/8.19 130 -> 3,117 30.39/8.19 133 -> 12,153 30.39/8.19 137 -> 3* 30.39/8.19 143 -> 3,117 30.39/8.19 148 -> 3,117 30.39/8.19 152 -> 3,117 30.39/8.19 154 -> 201* 30.39/8.19 162 -> 3,94 30.39/8.19 167 -> 3,117 30.39/8.19 171 -> 3* 30.39/8.19 173 -> 144* 30.39/8.19 177 -> 3* 30.39/8.19 182 -> 3,117 30.39/8.19 186 -> 3,94 30.39/8.19 190 -> 3,94,187 30.39/8.19 192 -> 3,94 30.39/8.19 206 -> 152* 30.39/8.19 212 -> 178* 30.39/8.19 224 -> 178* 30.39/8.19 232 -> 208* 30.39/8.19 238 -> 208* 30.39/8.19 240 -> 220* 30.39/8.19 244 -> 220* 30.39/8.19 problem: 30.39/8.19 30.39/8.19 Qed 30.53/8.20 EOF