YES Problem: 3(4(4(4(x1)))) -> 5(1(0(3(3(5(2(3(3(2(x1)))))))))) 5(3(1(3(x1)))) -> 5(5(2(1(5(5(5(1(1(1(x1)))))))))) 0(4(0(5(0(x1))))) -> 0(4(2(2(2(4(0(4(3(3(x1)))))))))) 0(0(3(5(1(4(x1)))))) -> 0(4(1(1(5(2(5(3(3(0(x1)))))))))) 0(5(0(4(5(0(x1)))))) -> 0(0(2(3(0(2(0(0(1(0(x1)))))))))) 1(0(0(3(4(4(x1)))))) -> 0(2(2(1(3(3(0(0(3(3(x1)))))))))) 3(5(4(2(0(3(x1)))))) -> 3(2(0(1(2(1(5(1(3(3(x1)))))))))) 4(4(0(4(4(0(x1)))))) -> 4(3(0(0(4(5(1(5(1(0(x1)))))))))) 5(4(0(1(5(4(x1)))))) -> 5(4(3(2(1(1(0(3(3(1(x1)))))))))) 5(4(5(0(5(0(x1)))))) -> 3(3(3(2(1(1(0(4(2(0(x1)))))))))) 0(0(3(0(5(4(4(x1))))))) -> 5(5(1(3(3(1(2(0(4(2(x1)))))))))) 0(0(3(1(5(4(3(x1))))))) -> 2(1(5(0(2(5(3(3(0(3(x1)))))))))) 0(1(3(0(5(4(4(x1))))))) -> 0(1(3(3(3(4(5(0(3(5(x1)))))))))) 0(4(0(2(2(4(4(x1))))))) -> 4(2(5(5(2(3(3(2(4(4(x1)))))))))) 0(5(0(4(1(3(1(x1))))))) -> 0(0(1(2(3(4(5(3(0(0(x1)))))))))) 0(5(3(4(3(5(4(x1))))))) -> 0(3(1(5(1(3(3(5(3(3(x1)))))))))) 0(5(5(3(2(3(2(x1))))))) -> 0(5(5(3(4(5(5(3(4(1(x1)))))))))) 1(3(4(1(4(4(0(x1))))))) -> 2(0(4(3(3(0(0(4(2(0(x1)))))))))) 1(4(4(2(1(4(4(x1))))))) -> 3(5(1(1(0(5(0(3(1(0(x1)))))))))) 2(1(1(5(4(1(0(x1))))))) -> 1(5(5(1(2(1(5(3(3(0(x1)))))))))) 2(5(3(2(1(3(5(x1))))))) -> 5(3(3(4(3(4(5(5(1(1(x1)))))))))) 3(1(0(1(5(4(4(x1))))))) -> 3(0(4(3(3(3(3(2(0(5(x1)))))))))) 3(2(3(1(2(4(4(x1))))))) -> 3(2(5(2(5(1(3(0(4(5(x1)))))))))) 3(4(4(3(2(4(4(x1))))))) -> 3(5(5(2(4(4(2(0(2(2(x1)))))))))) 4(2(4(2(5(4(5(x1))))))) -> 0(5(1(5(4(3(4(1(3(5(x1)))))))))) 4(3(2(3(5(3(2(x1))))))) -> 4(5(1(5(2(0(1(1(5(2(x1)))))))))) 4(4(0(5(4(5(4(x1))))))) -> 2(0(2(4(3(3(2(1(5(4(x1)))))))))) 4(5(4(2(4(1(2(x1))))))) -> 4(3(5(3(3(3(1(3(2(2(x1)))))))))) 5(0(1(1(5(4(5(x1))))))) -> 5(1(1(3(0(4(1(4(5(1(x1)))))))))) 5(0(3(2(4(5(4(x1))))))) -> 5(3(5(5(2(2(4(5(2(0(x1)))))))))) 5(0(5(4(5(1(4(x1))))))) -> 2(1(0(0(0(5(1(5(5(2(x1)))))))))) 5(3(4(4(4(0(5(x1))))))) -> 2(3(3(5(3(1(5(1(1(1(x1)))))))))) 5(4(0(1(4(1(4(x1))))))) -> 3(3(2(0(4(1(0(0(3(5(x1)))))))))) 5(4(1(2(5(0(1(x1))))))) -> 3(3(4(3(4(0(3(0(0(1(x1)))))))))) 5(4(1(3(4(5(4(x1))))))) -> 3(2(4(2(5(5(5(5(0(4(x1)))))))))) Proof: Bounds Processor: bound: 0 enrichment: match automaton: final states: {293,284,277,271,263,255,246,238,229,220,212,203,194, 185,177,171,163,157,148,140,131,121,111,102,93,84,75, 67,59,51,42,32,22,12,1} transitions: 20(258) -> 259* 20(2) -> 3* 20(231) -> 232* 20(199) -> 200* 20(33) -> 85* 20(205) -> 206* 20(300) -> 301* 20(45) -> 46* 20(126) -> 127* 20(110) -> 102* 20(95) -> 96* 20(57) -> 58* 20(65) -> 66* 20(224) -> 225* 20(62) -> 63* 20(80) -> 81* 20(3) -> 204* 20(48) -> 49* 20(298) -> 299* 20(235) -> 236* 20(89) -> 90* 20(276) -> 271* 20(162) -> 157* 20(270) -> 263* 20(56) -> 57* 20(28) -> 29* 20(36) -> 37* 20(27) -> 28* 20(136) -> 137* 20(129) -> 130* 20(257) -> 258* 20(237) -> 229* 20(208) -> 209* 20(172) -> 173* 20(5) -> 6* 20(281) -> 282* 20(123) -> 124* 20(201) -> 202* 20(186) -> 187* 20(106) -> 107* 20(29) -> 30* 20(19) -> 20* 50(69) -> 70* 50(297) -> 298* 50(265) -> 266* 50(122) -> 230* 50(273) -> 274* 50(169) -> 170* 50(200) -> 201* 50(296) -> 297* 50(13) -> 247* 50(144) -> 145* 50(210) -> 211* 50(16) -> 17* 50(209) -> 210* 50(243) -> 244* 50(108) -> 109* 50(60) -> 61* 50(154) -> 155* 50(174) -> 175* 50(20) -> 21* 50(85) -> 256* 50(127) -> 128* 50(101) -> 93* 50(259) -> 260* 50(35) -> 36* 50(165) -> 166* 50(15) -> 16* 50(295) -> 296* 50(221) -> 264* 50(262) -> 255* 50(216) -> 217* 50(198) -> 199* 50(100) -> 101* 50(83) -> 75* 50(218) -> 219* 50(14) -> 178* 50(6) -> 7* 50(11) -> 1* 50(17) -> 18* 50(3) -> 221* 50(178) -> 179* 50(150) -> 151* 50(254) -> 246* 50(151) -> 152* 50(155) -> 156* 50(37) -> 38* 50(21) -> 12* 50(43) -> 68* 50(294) -> 295* 50(24) -> 141* 50(225) -> 226* 50(260) -> 261* 50(105) -> 106* 50(175) -> 176* 50(184) -> 177* 50(133) -> 134* 50(128) -> 129* 50(227) -> 228* 50(114) -> 115* 50(2) -> 112* 30(7) -> 8* 30(272) -> 273* 30(153) -> 154* 30(158) -> 159* 30(196) -> 197* 30(149) -> 150* 30(104) -> 105* 30(81) -> 82* 30(301) -> 293* 30(43) -> 164* 30(3) -> 4* 30(240) -> 241* 30(189) -> 190* 30(146) -> 147* 30(33) -> 34* 30(53) -> 54* 30(142) -> 143* 30(180) -> 181* 30(241) -> 242* 30(282) -> 283* 30(204) -> 239* 30(274) -> 275* 30(66) -> 59* 30(170) -> 163* 30(90) -> 91* 30(244) -> 245* 30(182) -> 183* 30(116) -> 117* 30(118) -> 119* 30(97) -> 98* 30(13) -> 76* 30(54) -> 55* 30(23) -> 24* 30(183) -> 184* 30(251) -> 252* 30(125) -> 126* 30(92) -> 84* 30(135) -> 136* 30(141) -> 142* 30(214) -> 215* 30(187) -> 188* 30(91) -> 92* 30(190) -> 191* 30(8) -> 9* 30(47) -> 48* 30(232) -> 233* 30(242) -> 243* 30(233) -> 234* 30(286) -> 287* 30(76) -> 77* 30(283) -> 277* 30(289) -> 290* 30(292) -> 284* 30(112) -> 113* 30(34) -> 35* 30(4) -> 5* 30(291) -> 292* 30(103) -> 104* 30(98) -> 99* 30(202) -> 194* 30(193) -> 185* 30(211) -> 203* 30(124) -> 125* 30(275) -> 276* 30(261) -> 262* 30(188) -> 189* 30(159) -> 160* 30(117) -> 118* 30(132) -> 133* 30(2) -> 23* 30(73) -> 74* 00(219) -> 212* 00(156) -> 148* 00(192) -> 193* 00(266) -> 267* 00(164) -> 165* 00(223) -> 224* 00(147) -> 140* 00(23) -> 103* 00(2) -> 33* 00(122) -> 294* 00(139) -> 131* 00(43) -> 44* 00(250) -> 251* 00(107) -> 108* 00(13) -> 285* 00(161) -> 162* 00(72) -> 73* 00(71) -> 72* 00(204) -> 205* 00(236) -> 237* 00(94) -> 95* 00(287) -> 288* 00(9) -> 10* 00(113) -> 114* 00(64) -> 65* 00(114) -> 278* 00(138) -> 139* 00(52) -> 53* 00(285) -> 286* 00(87) -> 158* 00(268) -> 269* 00(50) -> 42* 00(24) -> 52* 00(58) -> 51* 00(77) -> 78* 00(267) -> 268* 00(33) -> 132* 00(195) -> 196* 00(44) -> 45* 00(280) -> 281* 00(25) -> 26* 00(86) -> 87* 00(112) -> 186* 00(41) -> 32* 00(120) -> 111* 00(49) -> 50* 00(166) -> 167* 00(46) -> 47* 00(31) -> 22* 10(16) -> 272* 10(39) -> 40* 10(68) -> 69* 10(24) -> 60* 10(269) -> 270* 10(2) -> 13* 10(10) -> 11* 10(119) -> 120* 10(13) -> 14* 10(253) -> 254* 10(61) -> 62* 10(248) -> 249* 10(96) -> 97* 10(145) -> 146* 10(221) -> 222* 10(113) -> 213* 10(264) -> 265* 10(18) -> 19* 10(87) -> 88* 10(222) -> 223* 10(36) -> 172* 10(197) -> 198* 10(88) -> 89* 10(109) -> 110* 10(55) -> 56* 10(176) -> 171* 10(79) -> 80* 10(167) -> 168* 10(38) -> 39* 10(99) -> 100* 10(168) -> 169* 10(143) -> 144* 10(217) -> 218* 10(278) -> 279* 10(173) -> 174* 10(230) -> 231* 10(63) -> 64* 10(14) -> 15* 10(252) -> 253* 10(78) -> 79* 10(239) -> 240* 10(137) -> 138* 10(33) -> 43* 10(226) -> 227* 40(112) -> 195* 40(249) -> 250* 40(160) -> 161* 40(207) -> 208* 40(234) -> 235* 40(13) -> 149* 40(134) -> 135* 40(115) -> 116* 40(288) -> 289* 40(122) -> 123* 40(30) -> 31* 40(26) -> 27* 40(3) -> 94* 40(228) -> 220* 40(299) -> 300* 40(2) -> 122* 40(82) -> 83* 40(245) -> 238* 40(256) -> 257* 40(279) -> 280* 40(74) -> 67* 40(85) -> 86* 40(213) -> 214* 40(206) -> 207* 40(215) -> 216* 40(191) -> 192* 40(181) -> 182* 40(130) -> 121* 40(40) -> 41* 40(24) -> 25* 40(152) -> 153* 40(247) -> 248* 40(290) -> 291* 40(70) -> 71* 40(179) -> 180* f60() -> 2* 238 -> 122,195 163 -> 13* 194 -> 23,4 131 -> 33,186 203 -> 23* 148 -> 33,186 42 -> 33,186 140 -> 33,186 12 -> 112* 93 -> 33,132 284 -> 112,230 212 -> 122,94 67 -> 122,123 75 -> 112,230 22 -> 33,294 220 -> 122* 277 -> 112,230 171 -> 3* 121 -> 33,294 177 -> 3* 1 -> 23* 246 -> 112* 293 -> 112,230 255 -> 112* 185 -> 23,76,164 59 -> 23,113 84 -> 112,230 51 -> 13,43 229 -> 122,123 271 -> 112* 263 -> 112* 32 -> 33,132,278 102 -> 33,132 111 -> 33,285 157 -> 13* problem: Qed