YES Problem: 0(1(1(x1))) -> 2(1(1(x1))) 3(4(0(x1))) -> 4(5(5(x1))) 2(2(1(4(0(x1))))) -> 2(2(1(3(5(x1))))) 4(5(3(1(0(0(4(x1))))))) -> 4(5(0(1(4(5(4(x1))))))) 1(3(3(2(1(4(4(0(x1)))))))) -> 1(1(3(0(4(4(0(2(x1)))))))) 2(2(1(5(0(2(2(2(4(x1))))))))) -> 2(0(0(4(5(5(0(x1))))))) 0(2(3(0(2(0(3(5(2(4(x1)))))))))) -> 2(0(4(5(4(4(5(4(0(x1))))))))) 3(2(3(1(3(5(5(2(2(0(x1)))))))))) -> 4(0(0(0(0(2(2(2(0(x1))))))))) 3(4(1(1(0(0(5(0(5(0(x1)))))))))) -> 3(0(1(0(1(1(3(0(4(5(x1)))))))))) 4(1(3(0(0(5(1(5(0(1(x1)))))))))) -> 4(0(4(2(2(3(0(3(0(1(x1)))))))))) 3(3(0(2(0(1(4(5(5(5(0(x1))))))))))) -> 1(2(3(5(4(4(0(2(3(5(5(x1))))))))))) 3(0(2(0(2(1(2(5(4(3(5(4(x1)))))))))))) -> 3(2(2(0(3(0(5(4(5(1(5(4(x1)))))))))))) 3(0(5(4(5(3(0(0(0(5(1(1(x1)))))))))))) -> 3(2(4(1(4(0(3(0(2(1(1(3(x1)))))))))))) 3(3(0(4(4(1(1(1(3(1(2(1(x1)))))))))))) -> 3(3(5(3(0(1(4(4(0(0(1(x1))))))))))) 3(2(0(2(1(1(4(1(3(1(4(5(2(4(x1)))))))))))))) -> 0(2(2(4(4(5(4(1(0(0(5(0(0(x1))))))))))))) 4(1(3(3(0(5(2(3(3(3(0(5(4(3(x1)))))))))))))) -> 4(4(2(2(0(3(1(1(5(1(3(0(5(3(x1)))))))))))))) 3(4(0(2(1(1(0(4(1(1(0(2(3(5(3(x1))))))))))))))) -> 2(4(5(0(0(3(0(3(0(4(4(1(1(3(x1)))))))))))))) 5(5(1(4(1(3(4(2(3(4(3(1(2(0(5(x1))))))))))))))) -> 1(3(5(1(1(2(1(2(0(3(0(1(1(2(0(x1))))))))))))))) 0(5(0(3(3(3(2(3(1(1(1(2(5(1(2(5(x1)))))))))))))))) -> 0(5(1(4(3(3(4(4(1(1(4(1(0(1(4(x1))))))))))))))) 2(4(0(5(0(0(4(4(2(2(3(5(3(4(5(0(x1)))))))))))))))) -> 2(3(1(3(0(1(1(1(0(5(5(0(2(3(4(0(x1)))))))))))))))) 3(1(3(5(4(1(0(4(1(2(4(2(3(3(1(3(1(3(x1)))))))))))))))))) -> 0(3(3(0(0(3(3(4(4(1(4(1(5(2(2(4(3(x1))))))))))))))))) 2(5(0(5(2(1(3(1(4(5(5(0(0(2(3(0(3(2(4(3(x1)))))))))))))))))))) -> 0(2(0(0(3(1(4(2(5(2(0(5(4(4(1(1(0(4(3(x1))))))))))))))))))) 2(5(2(1(1(0(4(3(3(0(4(5(4(3(0(4(1(0(4(0(x1)))))))))))))))))))) -> 5(1(1(0(1(3(5(5(0(5(3(4(5(1(0(0(2(3(2(0(x1)))))))))))))))))))) 1(3(0(5(3(1(1(1(0(3(3(0(1(3(3(4(3(5(3(0(5(x1))))))))))))))))))))) -> 1(5(3(3(1(3(3(4(0(5(5(0(3(2(4(1(2(3(3(4(5(x1))))))))))))))))))))) 3(3(0(5(3(5(1(2(5(1(2(1(2(1(4(0(1(2(3(1(5(x1))))))))))))))))))))) -> 0(2(0(5(5(4(5(2(5(0(0(4(2(0(5(5(5(3(1(5(x1)))))))))))))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {255,236,218,201,185,171,157,144,133,120,108,99,87,77, 68,59,50,42,34,27,19,12,8,5,1} transitions: 41(304) -> 305* 41(308) -> 309* 21(320) -> 321* 21(288) -> 289* 21(276) -> 277* 21(292) -> 293* 20(69) -> 70* 20(210) -> 211* 20(261) -> 262* 20(219) -> 220* 20(187) -> 188* 20(266) -> 267* 20(44) -> 45* 20(41) -> 34* 20(186) -> 187* 20(97) -> 98* 20(143) -> 133* 20(85) -> 86* 20(75) -> 76* 20(172) -> 173* 20(129) -> 130* 20(33) -> 27* 20(130) -> 131* 20(208) -> 209* 20(241) -> 242* 20(216) -> 217* 20(238) -> 239* 20(118) -> 119* 20(84) -> 85* 20(11) -> 8* 20(272) -> 273* 20(151) -> 152* 20(63) -> 64* 20(4) -> 1* 20(43) -> 44* 20(64) -> 65* 20(184) -> 171* 20(10) -> 11* 20(90) -> 91* 20(117) -> 118* 20(28) -> 43* 20(149) -> 150* 20(2) -> 20* f60() -> 2* 00(220) -> 221* 00(246) -> 247* 00(57) -> 58* 00(81) -> 82* 00(51) -> 52* 00(158) -> 159* 00(207) -> 208* 00(47) -> 48* 00(196) -> 197* 00(110) -> 111* 00(103) -> 104* 00(264) -> 265* 00(28) -> 109* 00(271) -> 272* 00(170) -> 157* 00(221) -> 222* 00(45) -> 46* 00(3) -> 60* 00(2) -> 28* 00(83) -> 84* 00(111) -> 112* 00(148) -> 149* 00(66) -> 67* 00(119) -> 108* 00(186) -> 202* 00(215) -> 216* 00(214) -> 215* 00(140) -> 141* 00(23) -> 24* 00(217) -> 201* 00(173) -> 174* 00(243) -> 244* 00(260) -> 261* 00(91) -> 92* 00(46) -> 47* 00(61) -> 62* 00(32) -> 33* 00(40) -> 41* 00(139) -> 140* 00(232) -> 233* 00(227) -> 228* 00(273) -> 255* 00(128) -> 129* 00(200) -> 185* 00(55) -> 56* 00(197) -> 198* 00(137) -> 138* 00(20) -> 21* 00(60) -> 100* 00(16) -> 17* 00(93) -> 94* 00(48) -> 49* 00(135) -> 136* 00(121) -> 122* 00(263) -> 264* 00(180) -> 181* 00(70) -> 71* 00(176) -> 177* 00(146) -> 147* 00(31) -> 32* 30(225) -> 226* 30(213) -> 214* 30(252) -> 253* 30(2) -> 88* 30(127) -> 128* 30(104) -> 105* 30(199) -> 200* 30(51) -> 237* 30(24) -> 25* 30(183) -> 184* 30(138) -> 139* 30(195) -> 196* 30(62) -> 63* 30(74) -> 75* 30(165) -> 166* 30(256) -> 257* 30(35) -> 172* 30(251) -> 252* 30(52) -> 53* 30(249) -> 250* 30(194) -> 195* 30(155) -> 156* 30(181) -> 182* 30(248) -> 249* 30(107) -> 99* 30(166) -> 167* 30(92) -> 93* 30(147) -> 148* 30(6) -> 9* 30(43) -> 219* 30(7) -> 69* 30(198) -> 199* 30(242) -> 243* 30(60) -> 61* 30(136) -> 137* 30(230) -> 231* 30(237) -> 238* 30(98) -> 87* 30(86) -> 77* 30(122) -> 123* 30(58) -> 50* 30(82) -> 83* 30(106) -> 107* 10(89) -> 90* 10(254) -> 236* 10(153) -> 154* 10(233) -> 234* 10(2) -> 3* 10(53) -> 54* 10(13) -> 158* 10(15) -> 16* 10(189) -> 190* 10(102) -> 103* 10(162) -> 163* 10(161) -> 162* 10(54) -> 55* 10(191) -> 192* 10(145) -> 146* 10(25) -> 26* 10(9) -> 10* 10(234) -> 235* 10(3) -> 4* 10(222) -> 223* 10(88) -> 89* 10(56) -> 57* 10(202) -> 203* 10(152) -> 153* 10(43) -> 145* 10(231) -> 232* 10(203) -> 204* 10(6) -> 256* 10(95) -> 96* 10(168) -> 169* 10(125) -> 126* 10(112) -> 113* 10(179) -> 180* 10(178) -> 179* 10(156) -> 144* 10(212) -> 213* 10(159) -> 160* 10(250) -> 251* 10(14) -> 78* 10(76) -> 68* 10(123) -> 124* 10(26) -> 19* 10(239) -> 240* 10(150) -> 151* 10(126) -> 127* 10(177) -> 178* 10(182) -> 183* 50(35) -> 36* 50(29) -> 30* 50(226) -> 227* 50(206) -> 207* 50(38) -> 39* 50(259) -> 260* 50(244) -> 245* 50(257) -> 258* 50(169) -> 170* 50(17) -> 18* 50(13) -> 14* 50(265) -> 266* 50(154) -> 155* 50(253) -> 254* 50(105) -> 106* 50(141) -> 142* 50(270) -> 271* 50(114) -> 115* 50(258) -> 259* 50(223) -> 224* 50(229) -> 230* 50(267) -> 268* 50(245) -> 246* 50(80) -> 81* 50(174) -> 175* 50(209) -> 210* 50(28) -> 29* 50(88) -> 121* 50(124) -> 125* 50(6) -> 7* 50(188) -> 189* 50(269) -> 270* 50(175) -> 176* 50(235) -> 218* 50(78) -> 79* 50(2) -> 6* 50(228) -> 229* 50(109) -> 110* 50(73) -> 74* 40(132) -> 120* 40(100) -> 101* 40(192) -> 193* 40(164) -> 165* 40(2) -> 13* 40(22) -> 23* 40(116) -> 117* 40(163) -> 164* 40(160) -> 161* 40(36) -> 37* 40(14) -> 15* 40(28) -> 35* 40(90) -> 134* 40(88) -> 186* 40(205) -> 206* 40(39) -> 40* 40(101) -> 102* 40(72) -> 73* 40(71) -> 72* 40(204) -> 205* 40(247) -> 248* 40(262) -> 263* 40(96) -> 97* 40(94) -> 95* 40(79) -> 80* 40(131) -> 132* 40(6) -> 51* 40(113) -> 114* 40(18) -> 12* 40(142) -> 143* 40(134) -> 135* 40(167) -> 168* 40(268) -> 269* 40(21) -> 22* 40(224) -> 225* 40(240) -> 241* 40(7) -> 5* 40(193) -> 194* 40(37) -> 38* 40(49) -> 42* 40(30) -> 31* 40(65) -> 66* 40(67) -> 59* 40(115) -> 116* 40(190) -> 191* 40(211) -> 212* 11(274) -> 275* 11(286) -> 287* 11(291) -> 292* 11(287) -> 288* 11(275) -> 276* 11(318) -> 319* 11(290) -> 291* 11(319) -> 320* 51(302) -> 303* 51(307) -> 308* 51(303) -> 304* 51(306) -> 307* 51(322) -> 323* 321 -> 60* 27 -> 20* 43 -> 286* 144 -> 307,6,308,7 19 -> 3,89 68 -> 88* 42 -> 88* 236 -> 3,89,124 77 -> 88* 12 -> 13,51 2 -> 306* 53 -> 290* 171 -> 20* 277 -> 181* 178 -> 274* 201 -> 20* 170 -> 322* 309 -> 172* 323 -> 307* 305 -> 249* 8 -> 20* 1 -> 28,60 246 -> 302* 293 -> 56* 99 -> 88* 255 -> 88* 185 -> 88* 34 -> 28,21 59 -> 13* 5 -> 88* 108 -> 88,219 218 -> 20* 50 -> 88* 120 -> 13* 133 -> 88,172 289 -> 147* 87 -> 88* 25 -> 318* 157 -> 28* problem: Qed