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