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