YES Problem: 0(1(0(0(x1)))) -> 2(0(2(0(0(1(x1)))))) 1(0(0(1(x1)))) -> 1(0(3(0(1(x1))))) 1(0(0(4(x1)))) -> 1(4(0(2(0(x1))))) 1(0(0(4(x1)))) -> 1(4(0(3(2(0(x1)))))) 1(0(1(0(x1)))) -> 1(3(0(0(3(1(x1)))))) 1(0(1(4(x1)))) -> 1(0(3(1(2(4(x1)))))) 1(0(1(5(x1)))) -> 1(0(2(1(5(x1))))) 1(0(4(1(x1)))) -> 1(0(3(4(1(x1))))) 1(0(5(0(x1)))) -> 1(2(5(2(0(0(x1)))))) 1(2(0(4(x1)))) -> 1(3(4(2(0(x1))))) 1(3(0(4(x1)))) -> 1(3(4(2(0(x1))))) 1(4(1(0(x1)))) -> 1(4(0(2(1(x1))))) 1(4(1(0(x1)))) -> 1(4(0(3(1(x1))))) 1(4(5(0(x1)))) -> 4(0(2(1(2(5(x1)))))) 1(5(0(1(x1)))) -> 0(1(3(1(3(5(x1)))))) 1(5(0(1(x1)))) -> 1(5(0(3(1(3(x1)))))) 4(1(0(0(x1)))) -> 0(2(4(2(0(1(x1)))))) 4(1(0(0(x1)))) -> 0(3(4(3(0(1(x1)))))) 4(1(0(5(x1)))) -> 4(0(2(1(5(x1))))) 4(1(2(0(x1)))) -> 3(0(2(1(3(4(x1)))))) 4(5(0(0(x1)))) -> 3(0(4(0(5(x1))))) 5(0(0(4(x1)))) -> 5(4(0(2(0(x1))))) 5(0(1(4(x1)))) -> 1(5(4(3(0(x1))))) 5(4(1(5(x1)))) -> 4(3(1(5(5(x1))))) 1(0(1(4(5(x1))))) -> 1(3(1(5(4(0(x1)))))) 1(0(4(0(4(x1))))) -> 1(0(4(3(4(0(x1)))))) 1(1(1(0(0(x1))))) -> 1(1(0(0(3(1(x1)))))) 1(1(4(5(0(x1))))) -> 1(1(3(4(0(5(x1)))))) 1(2(0(5(0(x1))))) -> 5(2(1(0(2(0(x1)))))) 1(4(5(0(0(x1))))) -> 4(0(5(0(2(1(x1)))))) 1(4(5(2(0(x1))))) -> 0(3(1(2(5(4(x1)))))) 1(5(0(4(5(x1))))) -> 3(4(0(5(1(5(x1)))))) 4(1(0(0(1(x1))))) -> 1(0(4(0(3(1(x1)))))) 4(1(2(0(0(x1))))) -> 4(2(0(0(2(1(x1)))))) 4(1(3(0(5(x1))))) -> 3(2(4(0(1(5(x1)))))) 4(1(5(3(1(x1))))) -> 2(1(5(4(3(1(x1)))))) 4(4(1(0(1(x1))))) -> 1(3(4(4(0(1(x1)))))) 4(5(0(1(0(x1))))) -> 4(0(0(5(3(1(x1)))))) 4(5(1(1(0(x1))))) -> 1(1(3(4(0(5(x1)))))) 4(5(1(1(0(x1))))) -> 4(0(2(1(5(1(x1)))))) 4(5(1(5(1(x1))))) -> 4(1(5(5(3(1(x1)))))) 4(5(5(0(4(x1))))) -> 5(4(0(5(4(2(x1)))))) 5(0(0(4(1(x1))))) -> 5(4(0(3(0(1(x1)))))) 5(0(0(4(5(x1))))) -> 0(3(4(0(5(5(x1)))))) 5(0(0(4(5(x1))))) -> 4(0(0(3(5(5(x1)))))) 5(0(4(1(0(x1))))) -> 5(0(4(0(3(1(x1)))))) 5(1(5(0(1(x1))))) -> 5(0(3(5(1(1(x1)))))) 5(4(1(1(0(x1))))) -> 1(2(4(0(1(5(x1)))))) 5(4(5(1(0(x1))))) -> 5(5(1(3(4(0(x1)))))) 5(5(2(0(4(x1))))) -> 5(5(3(4(2(0(x1)))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {180,177,176,171,170,166,162,160,154,151,146,142,138, 134,130,127,125,121,116,113,110,107,105,101,96,92,88, 87,83,78,77,74,70,64,59,54,52,48,45,40,36,31,25,20, 16,11,8,1} transitions: 40(2) -> 26* 40(71) -> 72* 40(12) -> 97* 40(115) -> 113* 40(131) -> 132* 40(18) -> 19* 40(95) -> 92* 40(163) -> 164* 40(150) -> 146* 40(158) -> 159* 40(102) -> 103* 40(3) -> 37* 40(35) -> 77* 40(145) -> 142* 40(14) -> 15* 40(9) -> 75* 40(155) -> 156* 40(89) -> 90* 40(139) -> 140* 40(22) -> 53* 40(10) -> 161* 40(13) -> 46* 40(84) -> 85* 40(4) -> 139* 40(169) -> 166* 40(129) -> 127* 40(50) -> 51* 40(153) -> 151* 40(123) -> 124* 40(58) -> 54* 40(21) -> 135* 01(219) -> 220* 01(206) -> 207* 01(220) -> 221* 01(187) -> 188* 51(182) -> 183* 51(225) -> 226* 51(224) -> 225* 51(207) -> 208* 20(72) -> 73* 20(148) -> 149* 20(5) -> 6* 20(41) -> 42* 20(12) -> 13* 20(33) -> 34* 20(7) -> 1* 20(137) -> 134* 20(111) -> 112* 20(32) -> 55* 20(132) -> 133* 20(3) -> 49* 20(26) -> 27* 20(4) -> 71* 20(43) -> 44* 20(80) -> 81* 20(128) -> 129* 20(117) -> 118* 20(56) -> 57* 20(2) -> 155* 30(94) -> 95* 30(75) -> 76* 30(3) -> 21* 30(86) -> 83* 30(66) -> 67* 30(97) -> 102* 30(13) -> 17* 30(23) -> 24* 30(93) -> 167* 30(99) -> 100* 30(61) -> 62* 30(12) -> 89* 30(164) -> 165* 30(85) -> 108* 30(119) -> 120* 30(140) -> 141* 30(173) -> 174* 30(46) -> 47* 30(4) -> 9* 30(37) -> 38* 30(133) -> 130* 30(28) -> 29* 30(32) -> 60* 30(26) -> 79* 30(124) -> 121* 30(82) -> 78* 30(2) -> 65* 11(226) -> 227* 11(184) -> 185* 11(221) -> 222* 11(186) -> 187* 11(208) -> 209* 11(222) -> 223* 11(217) -> 218* 11(204) -> 205* 10(152) -> 153* 10(100) -> 96* 10(104) -> 101* 10(69) -> 64* 10(147) -> 148* 10(23) -> 106* 10(2) -> 3* 10(47) -> 45* 10(14) -> 111* 10(10) -> 8* 10(55) -> 56* 10(126) -> 125* 10(39) -> 36* 10(15) -> 11* 10(102) -> 178* 10(62) -> 63* 10(109) -> 107* 10(136) -> 137* 10(60) -> 61* 10(79) -> 80* 10(27) -> 28* 10(118) -> 119* 10(108) -> 109* 10(133) -> 176* 10(106) -> 105* 10(93) -> 94* 10(24) -> 20* 10(91) -> 88* 10(32) -> 33* 10(98) -> 99* 10(44) -> 40* 10(3) -> 172* 10(30) -> 25* 10(141) -> 138* 10(19) -> 16* 10(53) -> 52* 10(65) -> 66* 10(35) -> 31* 10(51) -> 48* 41(228) -> 229* 00(22) -> 23* 00(157) -> 158* 00(4) -> 5* 00(2) -> 12* 00(93) -> 163* 00(122) -> 123* 00(17) -> 18* 00(67) -> 68* 00(103) -> 104* 00(53) -> 126* 00(21) -> 22* 00(13) -> 14* 00(49) -> 50* 00(50) -> 128* 00(12) -> 41* 00(9) -> 10* 00(57) -> 58* 00(3) -> 4* 00(29) -> 30* 00(120) -> 116* 00(149) -> 150* 00(167) -> 168* 00(6) -> 7* 00(38) -> 39* 00(32) -> 84* 00(168) -> 169* 00(143) -> 144* 00(34) -> 35* 00(174) -> 175* 00(85) -> 86* 00(144) -> 145* 00(63) -> 59* 00(76) -> 74* 00(81) -> 82* 00(165) -> 162* 00(73) -> 70* 00(33) -> 131* 00(114) -> 115* 31(203) -> 204* 31(205) -> 206* 31(218) -> 219* 31(185) -> 186* 31(227) -> 228* 31(183) -> 184* 50(112) -> 110* 50(159) -> 154* 50(15) -> 87* 50(178) -> 179* 50(47) -> 181* 50(33) -> 122* 50(161) -> 160* 50(143) -> 152* 50(26) -> 117* 50(3) -> 147* 50(2) -> 32* 50(126) -> 170* 50(42) -> 43* 50(50) -> 114* 50(181) -> 180* 50(32) -> 93* 50(97) -> 98* 50(175) -> 171* 50(21) -> 143* 50(172) -> 173* 50(68) -> 69* 50(156) -> 157* 50(135) -> 136* 50(179) -> 177* 50(90) -> 91* f60() -> 2* 151 -> 26* 166 -> 32* 70 -> 26,37 92 -> 32,117 74 -> 26,37 142 -> 26* 154 -> 26* 160 -> 32* 48 -> 3* 83 -> 26* 162 -> 32* 64 -> 3,33 113 -> 3* 77 -> 26,37 16 -> 3* 45 -> 66,3 188 -> 148* 11 -> 3* 180 -> 32,93 143 -> 224* 105 -> 3,172 52 -> 3* 54 -> 3* 88 -> 32* 116 -> 3* 171 -> 32,147,122 121 -> 3,33 138 -> 26* 21 -> 217* 177 -> 32,117 170 -> 32* 36 -> 3* 125 -> 26,37 101 -> 3* 127 -> 26,37 8 -> 3* 40 -> 3* 1 -> 12,4 31 -> 3* 62 -> 203,182 107 -> 26,3,172 20 -> 3* 130 -> 26,37 110 -> 3* 59 -> 3,33 209 -> 148* 134 -> 26,37 146 -> 26* 96 -> 3* 229 -> 117* 87 -> 32* 25 -> 3* 176 -> 32,117 223 -> 172* 78 -> 26,37 problem: Qed