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