YES Problem: 0(1(2(1(x1)))) -> 0(3(1(x1))) 3(4(2(0(x1)))) -> 3(1(4(x1))) 1(2(1(2(5(x1))))) -> 3(4(5(5(x1)))) 1(2(3(1(2(1(x1)))))) -> 1(5(0(4(3(x1))))) 3(3(5(2(4(3(x1)))))) -> 0(3(4(5(3(x1))))) 5(2(3(1(3(4(x1)))))) -> 5(0(1(4(3(x1))))) 0(0(3(4(0(2(0(x1))))))) -> 4(3(4(3(0(2(0(x1))))))) 0(2(5(3(5(0(4(x1))))))) -> 0(2(3(3(5(4(1(x1))))))) 1(2(0(4(2(1(1(5(x1)))))))) -> 2(3(2(0(5(2(4(x1))))))) 2(3(4(5(5(2(2(0(x1)))))))) -> 5(4(5(3(0(0(2(x1))))))) 4(0(1(1(5(3(4(1(5(x1))))))))) -> 0(1(4(4(2(4(5(3(x1)))))))) 4(0(3(1(5(4(0(2(4(5(x1)))))))))) -> 5(5(0(2(1(5(3(0(2(4(x1)))))))))) 3(0(2(0(2(4(2(1(1(0(1(x1))))))))))) -> 3(0(4(5(3(1(5(5(4(1(x1)))))))))) 1(4(3(2(0(3(0(5(5(0(4(2(x1)))))))))))) -> 1(0(4(2(0(0(4(2(4(3(3(2(x1)))))))))))) 3(3(2(0(1(0(3(5(5(5(2(5(x1)))))))))))) -> 5(3(0(4(2(4(0(4(2(5(1(2(x1)))))))))))) 2(3(2(5(1(5(3(0(5(1(4(5(5(x1))))))))))))) -> 1(4(2(1(3(0(1(5(4(1(5(4(x1)))))))))))) 2(5(3(3(2(1(4(5(4(0(3(2(5(x1))))))))))))) -> 5(0(3(1(0(5(5(3(5(0(1(x1))))))))))) 4(3(5(1(0(0(1(1(2(1(1(2(1(3(x1)))))))))))))) -> 4(2(1(0(0(0(0(4(2(2(2(0(0(x1))))))))))))) 1(5(3(5(0(1(3(2(2(0(4(0(4(4(5(0(x1)))))))))))))))) -> 2(1(1(2(1(2(4(2(3(3(4(2(5(5(0(0(0(0(x1)))))))))))))))))) 5(2(3(0(5(4(1(0(4(1(4(3(3(3(5(5(2(x1))))))))))))))))) -> 5(2(3(4(5(4(0(5(3(5(3(4(4(5(0(2(x1)))))))))))))))) 4(0(2(2(1(1(1(0(1(5(0(2(0(4(1(1(4(4(x1)))))))))))))))))) -> 4(4(1(3(4(1(5(2(1(1(4(1(5(1(1(2(1(4(x1)))))))))))))))))) 5(0(5(0(1(3(1(3(2(4(1(4(4(0(4(5(0(1(x1)))))))))))))))))) -> 5(3(3(4(2(0(2(2(0(1(0(5(2(2(0(0(3(0(1(x1))))))))))))))))))) 0(1(5(3(3(4(1(0(1(4(3(4(0(5(5(2(3(5(5(x1))))))))))))))))))) -> 3(1(2(3(4(5(2(4(0(4(5(2(2(3(1(0(2(2(3(x1))))))))))))))))))) 2(2(5(2(3(0(3(1(4(4(3(4(4(0(3(0(1(0(0(x1))))))))))))))))))) -> 3(1(1(5(4(3(0(0(1(0(2(4(4(4(1(5(0(0(x1)))))))))))))))))) 1(5(0(0(5(4(4(3(4(3(2(2(2(2(3(4(4(1(3(0(2(x1))))))))))))))))))))) -> 2(5(3(0(2(1(5(4(2(3(4(1(1(5(1(1(5(0(4(4(2(x1))))))))))))))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {222,206,188,171,155,141,125,113,103,92,81,70,63,55,50,43,37,31,24,21,17,12,8,5,1} transitions: 31(244) -> 245* 41(242) -> 243* 00(182) -> 183* 00(119) -> 120* 00(68) -> 69* 00(148) -> 149* 00(179) -> 180* 00(190) -> 191* 00(44) -> 45* 00(108) -> 109* 00(212) -> 213* 00(60) -> 61* 00(97) -> 98* 00(126) -> 127* 00(39) -> 40* 00(120) -> 121* 00(20) -> 17* 00(85) -> 86* 00(75) -> 76* 00(172) -> 173* 00(22) -> 23* 00(45) -> 46* 00(173) -> 174* 00(111) -> 112* 00(121) -> 122* 00(238) -> 239* 00(118) -> 119* 00(14) -> 15* 00(214) -> 215* 00(3) -> 104* 00(89) -> 90* 00(38) -> 56* 00(76) -> 77* 00(26) -> 27* 00(4) -> 1* 00(25) -> 114* 00(215) -> 216* 00(36) -> 31* 00(79) -> 80* 00(54) -> 50* 00(197) -> 198* 00(224) -> 225* 00(177) -> 178* 00(114) -> 126* 00(2) -> 25* f60() -> 2* 20(203) -> 204* 20(153) -> 154* 20(25) -> 26* 20(100) -> 101* 20(13) -> 189* 20(115) -> 116* 20(116) -> 117* 20(35) -> 36* 20(129) -> 130* 20(163) -> 164* 20(2) -> 44* 20(174) -> 175* 20(83) -> 84* 20(241) -> 222* 20(6) -> 38* 20(42) -> 37* 20(199) -> 200* 20(237) -> 238* 20(133) -> 134* 20(140) -> 125* 20(194) -> 195* 20(183) -> 184* 20(114) -> 115* 20(181) -> 182* 20(211) -> 212* 20(73) -> 74* 20(7) -> 156* 20(19) -> 51* 20(40) -> 41* 20(175) -> 176* 20(193) -> 194* 20(233) -> 234* 20(137) -> 138* 20(189) -> 190* 20(77) -> 78* 20(87) -> 88* 20(135) -> 136* 20(180) -> 181* 20(123) -> 124* 20(59) -> 60* 50(200) -> 201* 50(225) -> 226* 50(2) -> 9* 50(187) -> 171* 50(127) -> 128* 50(104) -> 105* 50(91) -> 81* 50(23) -> 21* 50(228) -> 229* 50(33) -> 64* 50(38) -> 39* 50(45) -> 142* 50(114) -> 207* 50(95) -> 96* 50(176) -> 177* 50(32) -> 33* 50(150) -> 151* 50(57) -> 58* 50(195) -> 196* 50(158) -> 159* 50(62) -> 55* 50(240) -> 241* 50(145) -> 146* 50(154) -> 141* 50(49) -> 43* 50(9) -> 10* 50(235) -> 236* 50(15) -> 16* 50(107) -> 108* 50(147) -> 148* 50(13) -> 18* 50(6) -> 93* 50(128) -> 129* 50(66) -> 67* 50(61) -> 62* 50(164) -> 165* 50(82) -> 83* 50(47) -> 48* 50(218) -> 219* 50(112) -> 103* 50(106) -> 107* 30(186) -> 187* 30(44) -> 71* 30(2) -> 13* 30(71) -> 72* 30(27) -> 28* 30(192) -> 193* 30(146) -> 147* 30(232) -> 233* 30(221) -> 206* 30(104) -> 172* 30(69) -> 63* 30(3) -> 4* 30(29) -> 30* 30(90) -> 91* 30(46) -> 47* 30(56) -> 57* 30(185) -> 186* 30(131) -> 132* 30(202) -> 203* 30(152) -> 153* 30(110) -> 111* 30(167) -> 168* 30(11) -> 8* 30(105) -> 106* 30(34) -> 35* 30(132) -> 133* 30(205) -> 188* 30(7) -> 5* 30(19) -> 20* 30(144) -> 145* 30(216) -> 217* 30(41) -> 42* 30(239) -> 240* 30(33) -> 34* 30(65) -> 66* 30(98) -> 99* 40(151) -> 152* 40(208) -> 209* 40(30) -> 24* 40(196) -> 197* 40(149) -> 150* 40(101) -> 102* 40(94) -> 95* 40(52) -> 53* 40(10) -> 11* 40(3) -> 32* 40(86) -> 87* 40(130) -> 131* 40(166) -> 167* 40(142) -> 143* 40(184) -> 185* 40(67) -> 68* 40(84) -> 85* 40(170) -> 155* 40(169) -> 170* 40(13) -> 14* 40(134) -> 135* 40(217) -> 218* 40(18) -> 19* 40(143) -> 144* 40(210) -> 211* 40(223) -> 224* 40(198) -> 199* 40(234) -> 235* 40(209) -> 210* 40(28) -> 29* 40(88) -> 89* 40(48) -> 49* 40(44) -> 223* 40(201) -> 202* 40(51) -> 52* 40(124) -> 113* 40(74) -> 75* 40(160) -> 161* 40(117) -> 118* 40(231) -> 232* 40(78) -> 79* 40(2) -> 6* 40(72) -> 73* 10(219) -> 220* 10(226) -> 227* 10(156) -> 157* 10(168) -> 169* 10(213) -> 214* 10(178) -> 179* 10(2) -> 3* 10(122) -> 123* 10(139) -> 140* 10(14) -> 22* 10(191) -> 192* 10(220) -> 221* 10(161) -> 162* 10(102) -> 92* 10(230) -> 231* 10(204) -> 205* 10(236) -> 237* 10(109) -> 110* 10(136) -> 137* 10(96) -> 97* 10(6) -> 7* 10(99) -> 100* 10(64) -> 65* 10(138) -> 139* 10(159) -> 160* 10(165) -> 166* 10(80) -> 70* 10(93) -> 94* 10(58) -> 59* 10(207) -> 208* 10(44) -> 82* 10(227) -> 228* 10(157) -> 158* 10(162) -> 163* 10(229) -> 230* 10(53) -> 54* 10(16) -> 12* 11(243) -> 244* 155 -> 6* 70 -> 3,7,22 43 -> 44,189 24 -> 25,114 92 -> 44,189 206 -> 44* 17 -> 13* 245 -> 186* 182 -> 242* 113 -> 6,14 12 -> 3,82 63 -> 13,28 188 -> 25,104 171 -> 9* 141 -> 9* 21 -> 9* 125 -> 3* 222 -> 3,208 8 -> 3,82 1 -> 25,104 31 -> 25,45 55 -> 6* 37 -> 3,82 5 -> 13* 50 -> 6* 103 -> 44* 81 -> 13,72 problem: Qed