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