YES Problem: 0(1(2(x1))) -> 2(3(0(3(1(x1))))) 0(0(0(2(x1)))) -> 3(0(0(3(0(2(x1)))))) 0(0(2(2(x1)))) -> 2(3(0(0(3(2(x1)))))) 0(1(1(2(x1)))) -> 2(3(0(3(1(1(x1)))))) 0(1(2(1(x1)))) -> 0(1(2(4(1(3(x1)))))) 0(1(2(2(x1)))) -> 2(3(0(3(1(2(x1)))))) 0(1(2(5(x1)))) -> 2(0(5(3(1(x1))))) 0(1(5(1(x1)))) -> 1(0(3(5(3(1(x1)))))) 0(1(5(2(x1)))) -> 2(4(1(0(3(5(x1)))))) 0(1(5(2(x1)))) -> 2(4(3(1(0(5(x1)))))) 0(1(5(2(x1)))) -> 3(1(3(0(5(2(x1)))))) 0(1(5(5(x1)))) -> 1(3(0(5(5(x1))))) 0(2(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 0(2(5(2(x1)))) -> 2(2(3(0(5(x1))))) 1(1(4(5(x1)))) -> 5(4(1(3(1(x1))))) 1(5(1(5(x1)))) -> 1(3(5(5(3(1(x1)))))) 1(5(5(1(x1)))) -> 1(5(3(1(5(3(x1)))))) 2(0(1(2(x1)))) -> 2(2(3(0(3(1(x1)))))) 2(0(1(5(x1)))) -> 2(1(3(0(5(x1))))) 5(0(1(2(x1)))) -> 3(0(5(3(1(2(x1)))))) 5(0(1(2(x1)))) -> 4(2(3(0(5(1(x1)))))) 0(0(0(0(1(x1))))) -> 0(0(1(0(0(3(x1)))))) 0(0(1(2(5(x1))))) -> 2(0(0(5(3(1(x1)))))) 0(0(1(5(2(x1))))) -> 0(1(0(3(5(2(x1)))))) 0(1(0(4(5(x1))))) -> 5(4(0(0(3(1(x1)))))) 0(1(1(1(2(x1))))) -> 1(0(3(1(1(2(x1)))))) 0(1(2(1(5(x1))))) -> 2(1(0(5(3(1(x1)))))) 0(1(3(5(2(x1))))) -> 3(0(4(1(5(2(x1)))))) 0(1(4(2(5(x1))))) -> 2(4(3(0(5(1(x1)))))) 0(1(4(4(2(x1))))) -> 1(0(4(4(4(2(x1)))))) 0(1(5(0(1(x1))))) -> 0(1(1(0(5(3(x1)))))) 0(1(5(0(5(x1))))) -> 3(5(1(0(5(0(x1)))))) 0(2(4(2(1(x1))))) -> 2(1(2(4(3(0(x1)))))) 0(4(0(2(1(x1))))) -> 3(0(4(1(2(0(x1)))))) 0(5(0(1(5(x1))))) -> 0(5(0(5(3(1(x1)))))) 1(0(0(1(5(x1))))) -> 5(1(0(0(3(1(x1)))))) 1(0(1(4(5(x1))))) -> 1(4(4(1(0(5(x1)))))) 1(4(0(1(5(x1))))) -> 1(4(1(3(0(5(x1)))))) 2(0(1(5(2(x1))))) -> 2(1(0(3(5(2(x1)))))) 2(0(4(2(1(x1))))) -> 2(1(4(2(3(0(x1)))))) 2(0(5(1(2(x1))))) -> 0(3(1(5(2(2(x1)))))) 2(2(1(1(2(x1))))) -> 2(2(1(3(1(2(x1)))))) 2(5(1(5(2(x1))))) -> 2(4(1(5(5(2(x1)))))) 5(0(1(4(5(x1))))) -> 4(1(0(3(5(5(x1)))))) 5(1(0(1(5(x1))))) -> 3(1(5(1(0(5(x1)))))) 5(4(0(2(1(x1))))) -> 4(1(3(5(2(0(x1)))))) 5(5(1(4(5(x1))))) -> 5(4(1(3(5(5(x1)))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {173,169,166,162,158,155,150,146,145,143,140,138,136, 131,126,120,116,111,109,105,103,99,96,92,90,85,80,77, 75,70,67,64,61,60,56,51,46,40,37,34,29,23,18,13,7,1} transitions: 21(209) -> 210* 21(188) -> 189* 21(180) -> 181* 21(199) -> 200* 01(178) -> 179* 01(203) -> 204* 01(207) -> 208* 20(127) -> 147* 20(22) -> 18* 20(45) -> 40* 20(33) -> 29* 20(130) -> 126* 20(1) -> 60* 20(161) -> 158* 20(121) -> 132* 20(62) -> 63* 20(83) -> 84* 20(6) -> 1* 20(17) -> 13* 20(76) -> 75* 20(104) -> 103* 20(26) -> 27* 20(63) -> 61* 20(8) -> 151* 20(36) -> 34* 20(95) -> 145* 20(50) -> 46* 20(110) -> 109* 20(128) -> 129* 20(91) -> 90* 20(156) -> 157* 20(149) -> 146* 20(157) -> 155* 20(2) -> 8* f60() -> 2* 50(52) -> 159* 50(8) -> 52* 50(35) -> 68* 50(124) -> 125* 50(41) -> 57* 50(36) -> 137* 50(3) -> 81* 50(2) -> 41* 50(151) -> 152* 50(4) -> 35* 50(66) -> 64* 50(73) -> 74* 50(98) -> 96* 50(139) -> 138* 50(175) -> 173* 50(24) -> 71* 50(48) -> 167* 50(121) -> 122* 50(132) -> 170* 50(31) -> 78* 40(113) -> 114* 40(127) -> 128* 40(174) -> 175* 40(76) -> 144* 40(65) -> 66* 40(133) -> 134* 40(165) -> 162* 40(48) -> 141* 40(49) -> 50* 40(83) -> 110* 40(147) -> 148* 40(84) -> 80* 40(44) -> 45* 40(141) -> 142* 40(172) -> 169* 40(97) -> 98* 40(160) -> 161* 40(8) -> 112* 40(112) -> 113* 40(106) -> 107* 40(25) -> 26* 30(52) -> 93* 30(16) -> 17* 30(68) -> 69* 30(153) -> 154* 30(2) -> 24* 30(5) -> 6* 30(48) -> 49* 30(53) -> 54* 30(21) -> 22* 30(135) -> 131* 30(72) -> 73* 30(12) -> 7* 30(9) -> 10* 30(57) -> 163* 30(121) -> 127* 30(47) -> 62* 30(3) -> 4* 30(82) -> 83* 30(55) -> 51* 30(79) -> 77* 30(32) -> 33* 30(168) -> 166* 30(125) -> 120* 30(8) -> 14* 30(35) -> 38* 30(58) -> 59* 30(108) -> 105* 30(19) -> 20* 30(30) -> 31* 30(41) -> 42* 30(170) -> 171* 30(100) -> 101* 10(30) -> 100* 10(171) -> 172* 10(94) -> 95* 10(43) -> 44* 10(52) -> 106* 10(3) -> 19* 10(142) -> 140* 10(39) -> 37* 10(69) -> 67* 10(62) -> 76* 10(118) -> 119* 10(148) -> 149* 10(97) -> 139* 10(54) -> 55* 10(163) -> 174* 10(27) -> 28* 10(36) -> 104* 10(123) -> 124* 10(8) -> 30* 10(47) -> 48* 10(164) -> 165* 10(144) -> 143* 10(115) -> 111* 10(24) -> 25* 10(59) -> 56* 10(4) -> 65* 10(87) -> 88* 10(129) -> 130* 10(71) -> 72* 10(167) -> 168* 10(152) -> 153* 10(102) -> 99* 10(74) -> 70* 10(159) -> 160* 10(117) -> 118* 10(31) -> 156* 10(132) -> 133* 10(2) -> 3* 00(38) -> 39* 00(20) -> 21* 00(154) -> 150* 00(57) -> 58* 00(2) -> 121* 00(122) -> 123* 00(163) -> 164* 00(36) -> 91* 00(14) -> 15* 00(28) -> 23* 00(4) -> 5* 00(5) -> 97* 00(88) -> 89* 00(10) -> 11* 00(107) -> 108* 00(81) -> 82* 00(42) -> 43* 00(101) -> 102* 00(15) -> 16* 00(71) -> 117* 00(119) -> 116* 00(114) -> 115* 00(89) -> 85* 00(134) -> 135* 00(52) -> 53* 00(8) -> 9* 00(93) -> 94* 00(24) -> 86* 00(86) -> 87* 00(95) -> 92* 00(41) -> 47* 00(78) -> 79* 00(11) -> 12* 00(35) -> 36* 00(137) -> 136* 00(31) -> 32* 11(200) -> 201* 11(176) -> 177* 41(210) -> 211* 51(202) -> 203* 51(206) -> 207* 31(179) -> 180* 31(201) -> 202* 31(177) -> 178* 31(204) -> 205* 31(208) -> 209* 155 -> 8,151 56 -> 121* 166 -> 41,81 70 -> 3* 92 -> 121* 131 -> 121* 158 -> 8* 162 -> 41,122 189 -> 132* 46 -> 121* 64 -> 3,19 126 -> 121,9 7 -> 121* 140 -> 3* 77 -> 41,122 169 -> 41* 85 -> 121* 143 -> 3* 67 -> 3* 105 -> 121* 75 -> 8,132 109 -> 121* 116 -> 121* 173 -> 41,57 150 -> 8,132 138 -> 3* 177 -> 206* 26 -> 199,176 60 -> 8,121,9 13 -> 121* 40 -> 121* 1 -> 121* 99 -> 121* 90 -> 121* 34 -> 121* 37 -> 121* 146 -> 8,132 120 -> 121* 18 -> 121* 145 -> 8,132 211 -> 122* 136 -> 121,47,123 96 -> 121* 181 -> 188,23 51 -> 121* 103 -> 121* 80 -> 41,122 29 -> 121* 205 -> 122* 61 -> 121,9 111 -> 121* 23 -> 121* problem: Qed