YES Problem: 0(1(2(3(1(x1))))) -> 0(0(1(1(x1)))) 4(5(2(3(5(x1))))) -> 4(4(0(5(x1)))) 5(3(2(4(3(2(x1)))))) -> 5(3(0(5(4(x1))))) 2(2(5(5(2(2(1(x1))))))) -> 3(2(3(3(1(0(x1)))))) 4(5(2(1(1(3(4(x1))))))) -> 1(1(0(5(0(x1))))) 0(2(2(3(3(2(5(0(4(x1))))))))) -> 0(2(2(1(3(4(1(4(x1)))))))) 2(3(0(4(0(0(5(2(4(x1))))))))) -> 3(2(2(2(3(0(4(0(4(x1))))))))) 2(4(3(3(3(5(0(1(3(x1))))))))) -> 0(1(0(0(5(0(5(x1))))))) 2(3(5(3(3(4(1(5(1(2(x1)))))))))) -> 2(0(3(5(2(5(1(3(4(2(x1)))))))))) 3(0(1(2(4(0(0(3(3(4(x1)))))))))) -> 3(1(5(0(4(2(0(2(5(4(x1)))))))))) 1(1(4(0(4(2(1(2(4(5(3(x1))))))))))) -> 1(1(0(1(5(2(2(0(2(4(x1)))))))))) 3(1(2(4(0(0(3(3(1(4(5(x1))))))))))) -> 2(3(1(1(4(0(4(2(2(2(5(x1))))))))))) 4(3(0(4(1(0(4(1(5(0(3(x1))))))))))) -> 0(4(2(3(0(0(1(5(5(1(x1)))))))))) 0(5(1(0(1(1(2(2(1(1(2(2(2(2(x1)))))))))))))) -> 0(3(0(5(3(1(3(0(3(4(2(3(3(1(4(x1))))))))))))))) 0(5(2(1(1(4(2(5(2(0(1(3(3(3(x1)))))))))))))) -> 0(4(0(4(4(4(5(0(2(4(0(3(2(2(x1)))))))))))))) 3(0(2(3(2(0(3(3(2(1(2(2(0(1(3(x1))))))))))))))) -> 2(1(5(3(2(1(2(2(0(4(0(1(3(1(x1)))))))))))))) 0(5(2(3(4(0(5(3(2(4(2(2(4(0(3(4(x1)))))))))))))))) -> 0(0(0(5(1(3(2(2(3(0(1(3(2(1(x1)))))))))))))) 4(4(2(5(3(3(1(1(3(1(1(0(5(3(1(4(x1)))))))))))))))) -> 4(2(4(4(4(2(1(5(5(4(3(3(0(5(1(5(4(x1))))))))))))))))) 5(3(5(1(1(5(4(2(2(4(1(5(0(5(4(3(x1)))))))))))))))) -> 0(0(4(2(2(1(3(2(1(0(5(1(1(1(x1)))))))))))))) 2(2(0(1(4(3(5(4(2(2(5(1(0(5(0(5(4(5(2(x1))))))))))))))))))) -> 3(3(4(2(0(4(5(2(5(2(0(0(4(4(3(5(1(4(5(2(x1)))))))))))))))))))) 2(5(3(4(1(3(2(5(3(1(1(2(2(1(0(2(4(3(3(x1))))))))))))))))))) -> 0(3(5(2(3(1(1(0(3(4(3(4(0(0(5(2(2(3(x1)))))))))))))))))) 5(3(1(5(0(1(4(4(2(4(3(2(5(0(4(1(0(4(4(x1))))))))))))))))))) -> 5(2(2(4(1(1(5(2(3(4(2(5(2(0(2(0(2(5(4(x1))))))))))))))))))) 2(3(0(3(2(3(1(1(4(2(5(3(4(2(5(2(5(0(2(3(1(x1))))))))))))))))))))) -> 3(2(4(3(2(1(3(3(1(0(1(1(3(3(0(3(0(5(1(x1))))))))))))))))))) 3(1(2(1(3(1(2(2(4(1(1(3(2(4(4(3(2(0(3(4(5(x1))))))))))))))))))))) -> 2(5(5(1(1(2(1(0(1(3(1(0(5(2(4(1(1(5(x1)))))))))))))))))) 5(4(3(1(3(4(5(3(0(1(3(4(0(2(2(4(3(3(0(5(3(x1))))))))))))))))))))) -> 5(5(1(1(5(2(4(0(0(1(0(1(2(0(5(1(3(5(x1)))))))))))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {255,238,221,207,189,170,158,143,130,117,104,91,82,72, 63,55,45,40,32,25,21,15,10,6,1} transitions: 01(284) -> 285* 01(274) -> 275* 01(275) -> 276* 11(272) -> 273* 11(273) -> 274* 51(286) -> 287* 51(283) -> 284* 31(285) -> 286* 41(282) -> 283* f60() -> 2* 00(247) -> 248* 00(5) -> 1* 00(177) -> 178* 00(142) -> 130* 00(264) -> 265* 00(42) -> 43* 00(22) -> 23* 00(12) -> 13* 00(7) -> 8* 00(2) -> 16* 00(199) -> 200* 00(194) -> 195* 00(184) -> 185* 00(169) -> 158* 00(119) -> 120* 00(114) -> 115* 00(109) -> 110* 00(69) -> 70* 00(64) -> 65* 00(261) -> 262* 00(59) -> 60* 00(44) -> 40* 00(34) -> 35* 00(206) -> 189* 00(4) -> 5* 00(141) -> 142* 00(121) -> 122* 00(116) -> 104* 00(106) -> 107* 00(101) -> 102* 00(96) -> 97* 00(86) -> 87* 00(76) -> 77* 00(263) -> 264* 00(258) -> 259* 00(56) -> 57* 00(243) -> 244* 00(41) -> 42* 00(31) -> 25* 00(228) -> 229* 00(223) -> 224* 00(11) -> 33* 00(193) -> 194* 00(178) -> 179* 00(168) -> 169* 00(133) -> 134* 00(103) -> 91* 00(83) -> 222* 00(58) -> 208* 00(53) -> 54* 00(160) -> 161* 00(145) -> 146* 00(140) -> 141* 00(90) -> 82* 00(85) -> 86* 10(70) -> 71* 10(262) -> 263* 10(232) -> 233* 10(227) -> 228* 10(172) -> 173* 10(132) -> 133* 10(269) -> 270* 10(244) -> 245* 10(239) -> 240* 10(229) -> 230* 10(12) -> 144* 10(7) -> 239* 10(2) -> 3* 10(164) -> 165* 10(124) -> 125* 10(84) -> 85* 10(79) -> 80* 10(256) -> 257* 10(251) -> 252* 10(246) -> 247* 10(226) -> 227* 10(24) -> 21* 10(216) -> 217* 10(4) -> 159* 10(201) -> 202* 10(161) -> 162* 10(151) -> 152* 10(71) -> 63* 10(268) -> 269* 10(61) -> 62* 10(248) -> 249* 10(16) -> 17* 10(11) -> 26* 10(138) -> 139* 10(128) -> 129* 10(118) -> 119* 10(98) -> 99* 10(78) -> 79* 10(68) -> 69* 10(260) -> 261* 10(250) -> 251* 10(48) -> 49* 10(43) -> 44* 10(28) -> 29* 10(23) -> 24* 10(215) -> 216* 10(3) -> 4* 10(200) -> 201* 40(75) -> 76* 40(217) -> 218* 40(197) -> 198* 40(167) -> 168* 40(157) -> 143* 40(112) -> 113* 40(107) -> 108* 40(77) -> 78* 40(2) -> 11* 40(154) -> 155* 40(94) -> 95* 40(89) -> 90* 40(211) -> 212* 40(9) -> 6* 40(186) -> 187* 40(176) -> 177* 40(171) -> 172* 40(111) -> 112* 40(46) -> 47* 40(26) -> 27* 40(183) -> 184* 40(153) -> 154* 40(148) -> 149* 40(113) -> 114* 40(265) -> 266* 40(58) -> 59* 40(240) -> 241* 40(235) -> 236* 40(33) -> 34* 40(8) -> 9* 40(195) -> 196* 40(175) -> 176* 40(155) -> 156* 40(120) -> 121* 40(115) -> 116* 50(267) -> 268* 50(60) -> 61* 50(257) -> 258* 50(252) -> 253* 50(242) -> 243* 50(192) -> 193* 50(182) -> 183* 50(127) -> 128* 50(67) -> 68* 50(214) -> 215* 50(209) -> 210* 50(204) -> 205* 50(2) -> 7* 50(159) -> 160* 50(149) -> 150* 50(144) -> 145* 50(139) -> 140* 50(271) -> 255* 50(49) -> 50* 50(14) -> 10* 50(253) -> 254* 50(51) -> 52* 50(46) -> 171* 50(16) -> 22* 50(11) -> 12* 50(173) -> 174* 50(83) -> 84* 50(270) -> 271* 50(220) -> 207* 50(8) -> 41* 50(3) -> 83* 50(180) -> 181* 50(150) -> 151* 50(110) -> 111* 50(100) -> 101* 30(80) -> 81* 30(237) -> 221* 30(35) -> 36* 30(222) -> 223* 30(20) -> 15* 30(212) -> 213* 30(202) -> 203* 30(187) -> 188* 30(147) -> 148* 30(137) -> 138* 30(102) -> 103* 30(97) -> 98* 30(92) -> 93* 30(87) -> 88* 30(62) -> 55* 30(52) -> 53* 30(47) -> 48* 30(234) -> 235* 30(27) -> 28* 30(224) -> 225* 30(17) -> 18* 30(7) -> 256* 30(2) -> 190* 30(174) -> 175* 30(134) -> 135* 30(99) -> 100* 30(39) -> 32* 30(231) -> 232* 30(196) -> 197* 30(146) -> 147* 30(131) -> 132* 30(126) -> 127* 30(26) -> 92* 30(198) -> 199* 30(188) -> 170* 30(163) -> 164* 30(245) -> 246* 30(230) -> 231* 30(225) -> 226* 30(18) -> 19* 30(13) -> 14* 30(205) -> 206* 30(3) -> 118* 30(105) -> 106* 30(95) -> 96* 20(65) -> 66* 20(50) -> 51* 20(30) -> 31* 20(162) -> 163* 20(152) -> 153* 20(122) -> 123* 20(259) -> 260* 20(57) -> 58* 20(254) -> 238* 20(249) -> 250* 20(37) -> 38* 20(219) -> 220* 20(12) -> 56* 20(7) -> 73* 20(2) -> 46* 20(179) -> 180* 20(129) -> 117* 20(74) -> 75* 20(266) -> 267* 20(54) -> 45* 20(241) -> 242* 20(236) -> 237* 20(29) -> 30* 20(19) -> 20* 20(191) -> 192* 20(181) -> 182* 20(166) -> 167* 20(156) -> 157* 20(136) -> 137* 20(81) -> 72* 20(66) -> 67* 20(46) -> 105* 20(36) -> 37* 20(233) -> 234* 20(218) -> 219* 20(213) -> 214* 20(11) -> 64* 20(208) -> 209* 20(203) -> 204* 20(123) -> 124* 20(108) -> 109* 20(93) -> 94* 20(88) -> 89* 20(73) -> 74* 20(38) -> 39* 20(210) -> 211* 20(3) -> 131* 20(190) -> 191* 20(185) -> 186* 20(165) -> 166* 20(135) -> 136* 20(125) -> 126* 1 -> 16* 6 -> 11,172 10 -> 7* 15 -> 46,105,74 21 -> 11,172 25 -> 16* 32 -> 46,191 40 -> 46,64 45 -> 46,191 55 -> 190* 63 -> 3,4 72 -> 190,118 79 -> 272* 82 -> 11* 91 -> 16,8,222 104 -> 16,8 117 -> 190* 130 -> 16,8 143 -> 11* 158 -> 7* 170 -> 46,105 189 -> 46,73 207 -> 7* 221 -> 46,191 233 -> 282* 238 -> 190,118 255 -> 7,12 276 -> 120* 287 -> 171* problem: Qed