YES Problem: 2(4(2(x1))) -> 0(2(0(0(5(1(0(2(0(4(x1)))))))))) 1(4(2(1(x1)))) -> 2(4(1(5(4(3(2(3(1(2(x1)))))))))) 1(4(4(2(x1)))) -> 3(4(0(3(0(2(5(5(1(2(x1)))))))))) 1(5(3(1(x1)))) -> 1(1(5(4(3(0(2(1(1(1(x1)))))))))) 1(5(4(0(x1)))) -> 3(3(1(1(1(4(0(1(0(0(x1)))))))))) 2(2(4(1(x1)))) -> 0(2(2(0(3(0(2(5(0(0(x1)))))))))) 2(4(2(1(x1)))) -> 0(1(0(3(5(3(2(3(2(1(x1)))))))))) 1(4(1(2(0(x1))))) -> 5(2(0(4(0(5(0(5(1(2(x1)))))))))) 1(4(2(4(0(x1))))) -> 5(1(4(3(5(0(0(0(3(0(x1)))))))))) 1(4(4(1(4(x1))))) -> 3(3(2(1(0(5(0(5(2(4(x1)))))))))) 1(5(4(2(1(x1))))) -> 3(4(1(3(3(3(3(3(0(1(x1)))))))))) 2(1(4(4(1(x1))))) -> 2(5(0(2(2(1(2(0(0(0(x1)))))))))) 3(2(4(4(2(x1))))) -> 3(3(3(0(2(3(1(4(0(4(x1)))))))))) 5(3(2(1(5(x1))))) -> 0(4(0(4(3(4(3(2(2(5(x1)))))))))) 1(4(0(4(0(5(x1)))))) -> 5(1(1(2(4(0(2(1(3(5(x1)))))))))) 1(5(5(3(2(2(x1)))))) -> 0(1(2(4(0(5(0(1(2(3(x1)))))))))) 2(5(3(0(4(4(x1)))))) -> 2(2(5(0(4(4(5(0(4(4(x1)))))))))) 3(1(2(4(2(4(x1)))))) -> 4(3(2(0(1(2(3(0(5(4(x1)))))))))) 3(4(2(2(0(5(x1)))))) -> 0(1(3(1(2(0(2(0(4(3(x1)))))))))) 4(1(1(4(0(4(x1)))))) -> 4(0(2(3(5(0(4(1(5(2(x1)))))))))) 5(5(0(1(4(2(x1)))))) -> 5(2(0(1(2(4(1(3(3(3(x1)))))))))) 0(1(4(0(0(4(2(x1))))))) -> 0(1(0(1(5(2(1(0(1(2(x1)))))))))) 1(0(4(4(2(5(5(x1))))))) -> 1(0(4(1(0(5(3(5(2(5(x1)))))))))) 1(3(0(5(4(1(4(x1))))))) -> 1(0(3(0(1(3(1(3(2(4(x1)))))))))) 1(4(2(4(1(3(5(x1))))))) -> 4(4(3(3(5(0(0(0(2(5(x1)))))))))) 1(5(5(4(0(2(5(x1))))))) -> 1(1(4(3(2(1(4(1(1(5(x1)))))))))) 2(4(2(1(5(4(1(x1))))))) -> 0(1(0(4(0(3(0(5(4(1(x1)))))))))) 4(2(5(0(1(4(2(x1))))))) -> 4(2(5(3(0(1(2(3(2(1(x1)))))))))) 5(2(2(0(4(4(2(x1))))))) -> 2(0(1(1(2(4(5(5(0(2(x1)))))))))) 5(2(2(0(5(4(0(x1))))))) -> 1(5(1(3(0(0(1(3(2(1(x1)))))))))) 5(3(1(4(2(4(0(x1))))))) -> 5(5(3(1(1(3(0(1(5(2(x1)))))))))) 5(5(1(4(4(2(5(x1))))))) -> 3(5(0(5(4(0(1(5(2(5(x1)))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {270,263,256,247,241,232,223,215,207,199,191,182,173, 164,155,146,136,127,117,109,101,92,83,74,67,58,50,40, 30,22,12,1} transitions: 01(288) -> 289* 01(302) -> 303* 01(297) -> 298* 01(292) -> 293* 01(289) -> 290* 01(294) -> 295* 01(300) -> 301* 01(306) -> 307* 01(305) -> 306* 01(308) -> 309* 31(293) -> 294* 00(69) -> 70* 00(119) -> 216* 00(160) -> 161* 00(13) -> 248* 00(77) -> 78* 00(106) -> 107* 00(145) -> 136* 00(5) -> 6* 00(31) -> 93* 00(188) -> 189* 00(242) -> 243* 00(41) -> 42* 00(34) -> 35* 00(57) -> 50* 00(126) -> 117* 00(85) -> 86* 00(75) -> 76* 00(42) -> 102* 00(172) -> 164* 00(205) -> 206* 00(240) -> 232* 00(52) -> 53* 00(165) -> 166* 00(27) -> 28* 00(180) -> 181* 00(130) -> 131* 00(139) -> 140* 00(216) -> 217* 00(23) -> 68* 00(198) -> 191* 00(238) -> 239* 00(66) -> 58* 00(141) -> 142* 00(176) -> 177* 00(211) -> 212* 00(87) -> 88* 00(14) -> 192* 00(147) -> 148* 00(11) -> 1* 00(3) -> 4* 00(254) -> 255* 00(76) -> 77* 00(151) -> 152* 00(236) -> 237* 00(234) -> 235* 00(124) -> 125* 00(8) -> 9* 00(43) -> 44* 00(217) -> 218* 00(25) -> 26* 00(71) -> 72* 00(113) -> 114* 00(64) -> 65* 00(213) -> 214* 00(202) -> 203* 00(54) -> 55* 00(175) -> 264* 00(271) -> 272* 00(258) -> 259* 00(257) -> 258* 00(9) -> 10* 00(156) -> 157* 00(196) -> 197* 00(274) -> 275* 00(167) -> 168* 00(2) -> 41* f60() -> 2* 30(220) -> 221* 30(209) -> 210* 30(100) -> 92* 30(219) -> 220* 30(178) -> 179* 30(115) -> 116* 30(259) -> 260* 30(276) -> 270* 30(29) -> 22* 30(264) -> 265* 30(116) -> 109* 30(35) -> 36* 30(122) -> 123* 30(170) -> 171* 30(41) -> 75* 30(26) -> 27* 30(228) -> 229* 30(2) -> 137* 30(111) -> 112* 30(162) -> 163* 30(49) -> 40* 30(63) -> 64* 30(14) -> 15* 30(84) -> 208* 30(212) -> 213* 30(183) -> 184* 30(114) -> 115* 30(243) -> 244* 30(91) -> 83* 30(61) -> 62* 30(120) -> 121* 30(94) -> 95* 30(157) -> 158* 30(95) -> 96* 30(97) -> 98* 30(118) -> 128* 30(200) -> 201* 30(79) -> 80* 30(53) -> 54* 30(137) -> 183* 30(96) -> 97* 30(16) -> 17* 30(93) -> 94* 30(48) -> 49* 30(59) -> 60* 30(90) -> 91* 30(235) -> 236* 30(267) -> 268* 40(225) -> 226* 40(221) -> 222* 40(272) -> 273* 40(2) -> 3* 40(204) -> 205* 40(131) -> 132* 40(250) -> 251* 40(185) -> 186* 40(121) -> 122* 40(175) -> 176* 40(163) -> 155* 40(150) -> 151* 40(229) -> 230* 40(137) -> 165* 40(70) -> 71* 40(31) -> 233* 40(80) -> 81* 40(3) -> 147* 40(149) -> 150* 40(181) -> 173* 40(20) -> 21* 40(28) -> 29* 40(4) -> 110* 40(36) -> 37* 40(44) -> 45* 40(222) -> 215* 40(237) -> 238* 40(123) -> 124* 40(99) -> 100* 40(142) -> 143* 40(246) -> 241* 40(17) -> 18* 40(125) -> 126* 20(186) -> 187* 20(89) -> 90* 20(24) -> 25* 20(153) -> 154* 20(4) -> 5* 20(2) -> 13* 20(10) -> 11* 20(119) -> 120* 20(31) -> 59* 20(21) -> 12* 20(15) -> 16* 20(193) -> 194* 20(189) -> 190* 20(102) -> 103* 20(72) -> 73* 20(161) -> 162* 20(154) -> 146* 20(255) -> 247* 20(104) -> 105* 20(3) -> 84* 20(56) -> 57* 20(129) -> 130* 20(55) -> 56* 20(158) -> 159* 20(60) -> 61* 20(168) -> 169* 20(143) -> 144* 20(105) -> 106* 20(112) -> 113* 20(132) -> 133* 20(179) -> 180* 20(51) -> 52* 20(118) -> 119* 20(166) -> 167* 20(108) -> 101* 20(251) -> 252* 20(245) -> 246* 20(137) -> 138* 20(227) -> 228* 20(33) -> 34* 10(65) -> 66* 10(208) -> 209* 10(239) -> 240* 10(171) -> 172* 10(81) -> 82* 10(252) -> 253* 10(226) -> 227* 10(206) -> 199* 10(38) -> 39* 10(39) -> 30* 10(184) -> 185* 10(138) -> 139* 10(197) -> 198* 10(262) -> 256* 10(118) -> 224* 10(169) -> 170* 10(13) -> 14* 10(265) -> 266* 10(200) -> 271* 10(134) -> 135* 10(195) -> 196* 10(128) -> 129* 10(253) -> 254* 10(210) -> 211* 10(230) -> 231* 10(214) -> 207* 10(203) -> 204* 10(61) -> 242* 10(187) -> 188* 10(60) -> 257* 10(260) -> 261* 10(47) -> 48* 10(224) -> 225* 10(174) -> 175* 10(46) -> 47* 10(144) -> 145* 10(133) -> 134* 10(192) -> 193* 10(266) -> 267* 10(42) -> 43* 10(103) -> 104* 10(98) -> 99* 10(32) -> 33* 10(88) -> 89* 10(110) -> 111* 10(19) -> 20* 10(6) -> 7* 10(159) -> 160* 10(45) -> 46* 10(31) -> 32* 10(231) -> 223* 10(2) -> 31* 50(218) -> 219* 50(152) -> 153* 50(194) -> 195* 50(23) -> 24* 50(2) -> 118* 50(14) -> 23* 50(261) -> 262* 50(107) -> 108* 50(13) -> 174* 50(233) -> 234* 50(269) -> 263* 50(42) -> 51* 50(148) -> 149* 50(62) -> 63* 50(177) -> 178* 50(84) -> 85* 50(119) -> 200* 50(249) -> 250* 50(248) -> 249* 50(201) -> 202* 50(82) -> 74* 50(68) -> 69* 50(18) -> 19* 50(140) -> 141* 50(135) -> 127* 50(268) -> 269* 50(275) -> 276* 50(273) -> 274* 50(86) -> 87* 50(7) -> 8* 50(3) -> 156* 50(37) -> 38* 50(73) -> 67* 50(78) -> 79* 50(190) -> 182* 50(244) -> 245* 51(304) -> 305* 51(290) -> 291* 11(303) -> 304* 41(299) -> 300* 21(307) -> 308* 21(296) -> 297* 21(295) -> 296* 21(301) -> 302* 21(291) -> 292* 247 -> 118,174 191 -> 41,93 155 -> 137,15 19 -> 288* 92 -> 31,224 74 -> 31* 215 -> 31* 164 -> 137* 245 -> 299* 83 -> 31* 256 -> 118,174 30 -> 31,224 182 -> 118* 12 -> 31* 232 -> 13,84 117 -> 118* 67 -> 31* 270 -> 118* 22 -> 31* 109 -> 137,208 173 -> 3,233 207 -> 31* 58 -> 13,84 309 -> 84* 101 -> 13,59 127 -> 31,111 40 -> 31,224 1 -> 13,84 241 -> 3* 199 -> 31* 298 -> 59* 146 -> 13,119 50 -> 13* 136 -> 31,224 263 -> 118* 223 -> 31,224 problem: Qed