18.91/5.27 YES 18.91/5.28 18.91/5.28 Problem: 18.91/5.28 0(1(2(3(x1)))) -> 2(0(3(1(2(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(0(3(1(3(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(0(3(2(1(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(1(0(3(0(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(1(3(0(2(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(1(4(3(0(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(3(0(2(1(x1))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(0(3(2(1(1(x1)))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(0(3(3(2(1(x1)))))) 18.91/5.28 0(1(2(3(x1)))) -> 2(1(3(0(3(0(x1)))))) 18.91/5.28 0(1(5(3(x1)))) -> 2(1(0(3(3(5(x1)))))) 18.91/5.28 0(1(5(3(x1)))) -> 2(1(0(3(4(5(x1)))))) 18.91/5.28 0(5(2(3(x1)))) -> 2(0(3(3(5(x1))))) 18.91/5.28 0(5(2(3(x1)))) -> 2(0(0(3(5(3(x1)))))) 18.91/5.28 0(0(1(2(3(x1))))) -> 0(2(0(3(1(0(x1)))))) 18.91/5.28 0(0(1(2(3(x1))))) -> 2(1(1(3(0(0(x1)))))) 18.91/5.28 0(0(4(2(3(x1))))) -> 0(3(4(0(3(2(x1)))))) 18.91/5.28 0(0(4(2(3(x1))))) -> 3(0(0(2(4(4(x1)))))) 18.91/5.28 0(0(5(2(3(x1))))) -> 0(3(5(2(4(0(x1)))))) 18.91/5.28 0(1(0(2(3(x1))))) -> 3(2(4(1(0(0(x1)))))) 18.91/5.28 0(1(0(5(3(x1))))) -> 0(1(1(5(0(3(x1)))))) 18.91/5.28 0(1(0(5(3(x1))))) -> 1(5(0(0(3(4(x1)))))) 18.91/5.28 0(1(2(1(3(x1))))) -> 2(1(0(0(3(1(x1)))))) 18.91/5.28 0(1(2(2(3(x1))))) -> 2(0(3(3(1(2(x1)))))) 18.91/5.28 0(1(2(3(3(x1))))) -> 2(0(3(3(4(1(x1)))))) 18.91/5.28 0(1(2(5(3(x1))))) -> 2(5(0(3(1(0(x1)))))) 18.91/5.28 0(4(5(5(3(x1))))) -> 5(0(3(4(1(5(x1)))))) 18.91/5.28 0(4(5(5(3(x1))))) -> 5(4(0(3(3(5(x1)))))) 18.91/5.28 0(5(2(1(3(x1))))) -> 2(1(0(3(3(5(x1)))))) 18.91/5.28 0(5(4(2(3(x1))))) -> 2(0(3(4(5(1(x1)))))) 18.91/5.28 1(0(0(5(3(x1))))) -> 0(3(1(3(5(0(x1)))))) 18.91/5.28 1(0(1(2(3(x1))))) -> 1(1(1(2(3(0(x1)))))) 18.91/5.28 1(0(1(2(3(x1))))) -> 1(2(0(3(5(1(x1)))))) 18.91/5.28 1(5(3(5(3(x1))))) -> 5(5(0(3(3(1(x1)))))) 18.91/5.28 4(0(1(2(3(x1))))) -> 2(1(4(4(0(3(x1)))))) 18.91/5.28 4(0(1(2(3(x1))))) -> 4(3(2(1(0(0(x1)))))) 18.91/5.28 5(0(0(5(3(x1))))) -> 3(0(3(5(5(0(x1)))))) 18.91/5.28 5(0(1(2(3(x1))))) -> 3(0(3(1(2(5(x1)))))) 18.91/5.28 5(0(1(2(3(x1))))) -> 4(5(3(0(2(1(x1)))))) 18.91/5.28 5(0(1(2(3(x1))))) -> 5(1(0(3(0(2(x1)))))) 18.91/5.28 5(0(1(2(3(x1))))) -> 5(1(0(3(1(2(x1)))))) 18.91/5.28 5(0(4(2(3(x1))))) -> 0(2(4(1(5(3(x1)))))) 18.91/5.28 5(0(4(2(3(x1))))) -> 0(3(3(5(2(4(x1)))))) 18.91/5.28 5(0(4(2(3(x1))))) -> 2(4(4(0(3(5(x1)))))) 18.91/5.28 5(0(5(2(3(x1))))) -> 5(0(3(5(4(2(x1)))))) 18.91/5.28 5(3(0(5(3(x1))))) -> 5(5(3(0(0(3(x1)))))) 18.91/5.28 5(3(1(2(3(x1))))) -> 2(0(3(1(5(3(x1)))))) 18.91/5.28 5(3(1(2(3(x1))))) -> 3(3(0(2(1(5(x1)))))) 18.91/5.28 18.91/5.28 Proof: 18.91/5.28 Bounds Processor: 18.91/5.28 bound: 0 18.91/5.28 enrichment: match 18.91/5.28 automaton: 18.91/5.28 final states: {192,189,185,180,176,171,167,165,162,160,155,151,148, 18.91/5.28 144,140,136,132,127,122,120,115,113,108,105,100,95, 18.91/5.28 90,86,81,75,70,65,60,55,54,49,43,40,37,32,29,26,22, 18.91/5.28 17,12,7,1} 18.91/5.28 transitions: 18.91/5.28 f60() -> 2* 18.91/5.28 20(25) -> 22* 18.91/5.28 20(147) -> 144* 18.91/5.28 20(112) -> 108* 18.91/5.28 20(107) -> 105* 18.91/5.28 20(87) -> 149* 18.91/5.28 20(82) -> 83* 18.91/5.28 20(77) -> 78* 18.91/5.28 20(47) -> 54* 18.91/5.28 20(42) -> 40* 18.91/5.28 20(2) -> 3* 18.91/5.28 20(179) -> 176* 18.91/5.28 20(169) -> 170* 18.91/5.28 20(114) -> 113* 18.91/5.28 20(104) -> 100* 18.91/5.28 20(69) -> 65* 18.91/5.28 20(59) -> 55* 18.91/5.28 20(44) -> 156* 18.91/5.28 20(39) -> 37* 18.91/5.28 20(19) -> 133* 18.91/5.28 20(191) -> 189* 18.91/5.28 20(126) -> 122* 18.91/5.28 20(116) -> 193* 18.91/5.28 20(76) -> 172* 18.91/5.28 20(36) -> 32* 18.91/5.28 20(31) -> 29* 18.91/5.28 20(21) -> 17* 18.91/5.28 20(16) -> 12* 18.91/5.28 20(11) -> 7* 18.91/5.28 20(6) -> 1* 18.91/5.28 20(138) -> 139* 18.91/5.28 20(88) -> 89* 18.91/5.28 20(63) -> 64* 18.91/5.28 20(53) -> 49* 18.91/5.28 20(48) -> 43* 18.91/5.28 20(33) -> 34* 18.91/5.28 20(28) -> 26* 18.91/5.28 20(13) -> 14* 18.91/5.28 00(45) -> 177* 18.91/5.28 00(35) -> 36* 18.91/5.28 00(15) -> 16* 18.91/5.28 00(10) -> 11* 18.91/5.28 00(5) -> 6* 18.91/5.28 00(137) -> 138* 18.91/5.28 00(102) -> 103* 18.91/5.28 00(97) -> 98* 18.91/5.28 00(62) -> 63* 18.91/5.28 00(57) -> 58* 18.91/5.28 00(2) -> 18* 18.91/5.28 00(94) -> 90* 18.91/5.28 00(79) -> 80* 18.91/5.28 00(74) -> 70* 18.91/5.28 00(64) -> 60* 18.91/5.28 00(24) -> 163* 18.91/5.28 00(19) -> 20* 18.91/5.28 00(14) -> 30* 18.91/5.28 00(141) -> 142* 18.91/5.28 00(131) -> 127* 18.91/5.28 00(111) -> 112* 18.91/5.28 00(106) -> 107* 18.91/5.28 00(101) -> 102* 18.91/5.28 00(96) -> 97* 18.91/5.28 00(91) -> 186* 18.91/5.28 00(71) -> 72* 18.91/5.28 00(51) -> 52* 18.91/5.28 00(46) -> 47* 18.91/5.28 00(193) -> 194* 18.91/5.28 00(183) -> 184* 18.91/5.28 00(158) -> 159* 18.91/5.28 00(153) -> 154* 18.91/5.28 00(118) -> 119* 18.91/5.28 00(78) -> 79* 18.91/5.28 00(58) -> 59* 18.91/5.28 00(38) -> 39* 18.91/5.28 00(18) -> 66* 18.91/5.28 00(8) -> 91* 18.91/5.28 00(3) -> 23* 18.91/5.28 00(190) -> 191* 18.91/5.28 00(175) -> 171* 18.91/5.28 00(170) -> 167* 18.91/5.28 00(125) -> 126* 18.91/5.28 00(85) -> 81* 18.91/5.28 30(50) -> 51* 18.91/5.28 30(45) -> 46* 18.91/5.28 30(30) -> 31* 18.91/5.28 30(20) -> 41* 18.91/5.28 30(15) -> 38* 18.91/5.28 30(5) -> 106* 18.91/5.28 30(182) -> 183* 18.91/5.28 30(157) -> 158* 18.91/5.28 30(152) -> 153* 18.91/5.28 30(117) -> 118* 18.91/5.28 30(2) -> 8* 18.91/5.28 30(194) -> 195* 18.91/5.28 30(174) -> 175* 18.91/5.28 30(159) -> 155* 18.91/5.28 30(154) -> 151* 18.91/5.28 30(149) -> 150* 18.91/5.28 30(124) -> 125* 18.91/5.28 30(109) -> 110* 18.91/5.28 30(89) -> 86* 18.91/5.28 30(84) -> 85* 18.91/5.28 30(44) -> 45* 18.91/5.28 30(34) -> 35* 18.91/5.28 30(14) -> 15* 18.91/5.28 30(9) -> 10* 18.91/5.28 30(4) -> 5* 18.91/5.28 30(186) -> 187* 18.91/5.28 30(101) -> 141* 18.91/5.28 30(76) -> 96* 18.91/5.28 30(66) -> 67* 18.91/5.28 30(61) -> 62* 18.91/5.28 30(56) -> 57* 18.91/5.28 30(173) -> 174* 18.91/5.28 30(168) -> 190* 18.91/5.28 30(128) -> 129* 18.91/5.28 30(123) -> 137* 18.91/5.28 30(73) -> 74* 18.91/5.28 30(23) -> 24* 18.91/5.28 30(18) -> 19* 18.91/5.28 30(13) -> 101* 18.91/5.28 30(3) -> 71* 18.91/5.28 30(195) -> 192* 18.91/5.28 30(130) -> 131* 18.91/5.28 30(110) -> 111* 18.91/5.28 30(80) -> 75* 18.91/5.28 10(20) -> 21* 18.91/5.28 10(92) -> 93* 18.91/5.28 10(67) -> 68* 18.91/5.28 10(52) -> 53* 18.91/5.28 10(47) -> 48* 18.91/5.28 10(27) -> 28* 18.91/5.28 10(2) -> 13* 18.91/5.28 10(139) -> 136* 18.91/5.28 10(134) -> 135* 18.91/5.28 10(129) -> 130* 18.91/5.28 10(99) -> 95* 18.91/5.28 10(44) -> 116* 18.91/5.28 10(24) -> 25* 18.91/5.28 10(156) -> 157* 18.91/5.28 10(146) -> 147* 18.91/5.28 10(66) -> 87* 18.91/5.28 10(56) -> 168* 18.91/5.28 10(41) -> 42* 18.91/5.28 10(6) -> 166* 18.91/5.28 10(163) -> 164* 18.91/5.28 10(133) -> 134* 18.91/5.28 10(103) -> 104* 18.91/5.28 10(93) -> 94* 18.91/5.28 10(68) -> 69* 18.91/5.29 10(18) -> 61* 18.91/5.29 10(13) -> 33* 18.91/5.29 10(8) -> 9* 18.91/5.29 10(3) -> 4* 18.91/5.29 10(135) -> 132* 18.91/5.29 40(177) -> 178* 18.91/5.29 40(87) -> 88* 18.91/5.29 40(72) -> 73* 18.91/5.29 40(47) -> 121* 18.91/5.29 40(2) -> 76* 18.91/5.29 40(44) -> 50* 18.91/5.29 40(19) -> 27* 18.91/5.29 40(161) -> 160* 18.91/5.29 40(116) -> 117* 18.91/5.29 40(91) -> 145* 18.91/5.29 40(76) -> 77* 18.91/5.29 40(178) -> 179* 18.91/5.29 40(168) -> 169* 18.91/5.29 40(123) -> 124* 18.91/5.29 40(18) -> 82* 18.91/5.29 40(13) -> 109* 18.91/5.29 40(3) -> 181* 18.91/5.29 40(150) -> 148* 18.91/5.29 40(145) -> 146* 18.91/5.29 50(187) -> 188* 18.91/5.29 50(172) -> 173* 18.91/5.29 50(142) -> 143* 18.91/5.29 50(2) -> 44* 18.91/5.29 50(184) -> 180* 18.91/5.29 50(164) -> 162* 18.91/5.29 50(119) -> 115* 18.91/5.29 50(181) -> 182* 18.91/5.29 50(166) -> 165* 18.91/5.29 50(121) -> 120* 18.91/5.29 50(91) -> 92* 18.91/5.29 50(31) -> 161* 18.91/5.29 50(188) -> 185* 18.91/5.29 50(143) -> 140* 18.91/5.29 50(128) -> 152* 18.91/5.29 50(98) -> 99* 18.91/5.29 50(83) -> 84* 18.91/5.29 50(63) -> 114* 18.91/5.29 50(18) -> 128* 18.91/5.29 50(13) -> 123* 18.91/5.29 50(8) -> 56* 18.91/5.29 1 -> 18* 18.91/5.29 7 -> 18* 18.91/5.29 12 -> 18* 18.91/5.29 17 -> 18* 18.91/5.29 22 -> 18* 18.91/5.29 26 -> 18* 18.91/5.29 29 -> 18* 18.91/5.29 32 -> 18* 18.91/5.29 37 -> 18* 18.91/5.29 40 -> 18* 18.91/5.29 43 -> 18* 18.91/5.29 49 -> 18* 18.91/5.29 54 -> 18* 18.91/5.29 55 -> 18* 18.91/5.29 60 -> 18,66 18.91/5.29 65 -> 18,66 18.91/5.29 70 -> 18,66 18.91/5.29 75 -> 18,66 18.91/5.29 81 -> 18,66 18.91/5.29 86 -> 18* 18.91/5.29 90 -> 18* 18.91/5.29 95 -> 18* 18.91/5.29 100 -> 18* 18.91/5.29 105 -> 18* 18.91/5.29 108 -> 18* 18.91/5.29 113 -> 18* 18.91/5.29 115 -> 18* 18.91/5.29 120 -> 18* 18.91/5.29 122 -> 18* 18.91/5.29 127 -> 13,61,87 18.91/5.29 132 -> 13,61 18.91/5.29 136 -> 13,61 18.91/5.29 140 -> 13,116,168 18.91/5.29 144 -> 76,82 18.91/5.29 148 -> 76,82 18.91/5.29 151 -> 44,128 18.91/5.29 155 -> 44,128 18.91/5.29 160 -> 44,128 18.91/5.29 162 -> 44,128 18.91/5.29 165 -> 44,128 18.91/5.29 167 -> 44,128 18.91/5.29 171 -> 44,128 18.91/5.29 176 -> 44,128 18.91/5.29 180 -> 44,128 18.91/5.29 185 -> 44,56 18.91/5.29 189 -> 44,56 18.91/5.29 192 -> 44,56 18.91/5.29 problem: 18.91/5.29 18.91/5.29 Qed 18.91/5.29 EOF