YES Problem: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1)))))))))) 5(5(x1)) -> 3(4(1(1(1(1(4(4(0(4(x1)))))))))) 2(5(5(x1))) -> 4(2(5(4(4(0(0(1(1(2(x1)))))))))) 5(2(4(x1))) -> 0(5(0(2(3(3(4(2(4(2(x1)))))))))) 5(5(2(x1))) -> 0(1(3(2(3(0(3(2(5(3(x1)))))))))) 5(5(3(x1))) -> 0(3(5(4(4(1(0(1(5(0(x1)))))))))) 5(5(5(x1))) -> 5(3(4(1(0(1(4(5(0(0(x1)))))))))) 2(5(0(4(x1)))) -> 4(4(3(2(4(4(5(1(0(0(x1)))))))))) 4(5(2(4(x1)))) -> 4(1(5(5(2(0(3(1(3(3(x1)))))))))) 4(5(5(5(x1)))) -> 1(5(1(2(0(3(2(1(0(5(x1)))))))))) 0(2(5(3(4(x1))))) -> 3(2(4(3(1(5(1(1(3(4(x1)))))))))) 2(5(5(3(4(x1))))) -> 4(5(4(3(1(4(0(2(4(4(x1)))))))))) 5(5(5(1(4(x1))))) -> 3(3(0(5(0(4(3(4(4(0(x1)))))))))) 0(4(4(5(5(5(x1)))))) -> 0(4(4(4(3(3(4(1(3(1(x1)))))))))) 1(2(4(5(2(4(x1)))))) -> 3(3(5(3(0(4(0(3(1(3(x1)))))))))) 4(1(5(5(0(4(x1)))))) -> 1(0(3(0(4(2(4(4(3(4(x1)))))))))) 4(2(5(5(1(5(x1)))))) -> 2(3(4(2(1(1(3(4(2(5(x1)))))))))) 5(2(5(5(0(4(x1)))))) -> 0(4(2(3(3(5(2(1(4(4(x1)))))))))) 5(5(2(4(5(0(x1)))))) -> 2(1(1(4(2(4(0(4(2(0(x1)))))))))) 0(1(5(5(5(3(5(x1))))))) -> 5(3(2(5(1(0(1(2(0(5(x1)))))))))) 4(4(5(2(4(2(2(x1))))))) -> 4(0(5(5(4(5(1(2(2(1(x1)))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {184,176,167,159,150,142,133,124,115,106,97,87,78,70,61,51,41,32,22,12,1} transitions: 01(231) -> 232* 01(234) -> 235* 01(284) -> 285* 01(309) -> 310* 01(201) -> 202* 01(270) -> 271* 01(334) -> 335* 01(306) -> 307* 01(237) -> 238* 01(347) -> 348* 01(344) -> 345* 01(198) -> 199* 31(342) -> 343* 31(287) -> 288* 31(285) -> 286* 31(278) -> 279* 31(280) -> 281* 31(245) -> 246* 31(352) -> 353* 31(283) -> 284* 00(119) -> 120* 00(169) -> 170* 00(148) -> 149* 00(88) -> 89* 00(13) -> 14* 00(190) -> 191* 00(108) -> 109* 00(60) -> 51* 00(40) -> 32* 00(45) -> 46* 00(52) -> 62* 00(137) -> 138* 00(81) -> 82* 00(121) -> 122* 00(132) -> 124* 00(135) -> 136* 00(11) -> 1* 00(38) -> 39* 00(178) -> 179* 00(26) -> 27* 00(8) -> 9* 00(92) -> 93* 00(25) -> 26* 00(166) -> 159* 00(50) -> 41* 00(54) -> 55* 00(146) -> 147* 00(65) -> 66* 00(2) -> 52* f60() -> 2* 30(141) -> 133* 30(102) -> 103* 30(13) -> 98* 30(134) -> 135* 30(35) -> 36* 30(44) -> 45* 30(122) -> 123* 30(75) -> 76* 30(36) -> 37* 30(3) -> 125* 30(163) -> 164* 30(2) -> 42* 30(111) -> 112* 30(162) -> 163* 30(80) -> 81* 30(117) -> 118* 30(182) -> 183* 30(127) -> 128* 30(42) -> 79* 30(140) -> 141* 30(91) -> 92* 30(46) -> 47* 30(157) -> 158* 30(21) -> 12* 30(68) -> 69* 30(152) -> 153* 30(128) -> 129* 30(105) -> 97* 30(48) -> 49* 30(147) -> 148* 30(123) -> 115* 30(59) -> 60* 30(138) -> 139* 10(2) -> 3* 10(55) -> 56* 10(174) -> 175* 10(23) -> 24* 10(64) -> 65* 10(24) -> 25* 10(79) -> 80* 10(85) -> 86* 10(18) -> 19* 10(185) -> 186* 10(179) -> 180* 10(173) -> 174* 10(110) -> 111* 10(62) -> 71* 10(16) -> 17* 10(154) -> 155* 10(49) -> 50* 10(149) -> 142* 10(89) -> 90* 10(107) -> 160* 10(96) -> 87* 10(66) -> 67* 10(94) -> 95* 10(53) -> 54* 10(98) -> 99* 10(153) -> 154* 10(177) -> 178* 10(99) -> 100* 10(101) -> 102* 10(17) -> 18* 10(42) -> 134* 10(125) -> 126* 10(19) -> 20* 50(52) -> 53* 50(186) -> 187* 50(39) -> 40* 50(188) -> 189* 50(4) -> 5* 50(2) -> 88* 50(10) -> 11* 50(62) -> 63* 50(71) -> 72* 50(189) -> 190* 50(83) -> 84* 50(180) -> 181* 50(161) -> 162* 50(113) -> 114* 50(69) -> 61* 50(139) -> 140* 50(29) -> 30* 50(120) -> 121* 50(6) -> 7* 50(95) -> 96* 50(84) -> 85* 50(58) -> 59* 50(183) -> 176* 50(42) -> 43* 50(100) -> 101* 20(7) -> 8* 20(158) -> 150* 20(30) -> 31* 20(171) -> 172* 20(104) -> 105* 20(43) -> 44* 20(52) -> 168* 20(3) -> 4* 20(33) -> 34* 20(90) -> 91* 20(107) -> 108* 20(181) -> 182* 20(93) -> 94* 20(89) -> 177* 20(47) -> 48* 20(164) -> 165* 20(144) -> 145* 20(4) -> 185* 20(37) -> 38* 20(88) -> 151* 20(74) -> 75* 20(155) -> 156* 20(160) -> 161* 20(175) -> 167* 20(82) -> 83* 20(2) -> 23* 40(103) -> 104* 40(156) -> 157* 40(20) -> 21* 40(168) -> 169* 40(34) -> 35* 40(172) -> 173* 40(23) -> 33* 40(57) -> 58* 40(2) -> 13* 40(116) -> 117* 40(14) -> 15* 40(28) -> 29* 40(191) -> 184* 40(5) -> 6* 40(63) -> 64* 40(13) -> 107* 40(76) -> 77* 40(126) -> 127* 40(15) -> 16* 40(72) -> 73* 40(187) -> 188* 40(109) -> 110* 40(136) -> 137* 40(145) -> 146* 40(131) -> 132* 40(27) -> 28* 40(151) -> 152* 40(118) -> 119* 40(9) -> 10* 40(56) -> 57* 40(114) -> 106* 40(170) -> 171* 40(165) -> 166* 40(52) -> 116* 40(143) -> 144* 40(77) -> 70* 40(98) -> 143* 40(129) -> 130* 40(86) -> 78* 40(112) -> 113* 40(73) -> 74* 40(67) -> 68* 40(130) -> 131* 40(31) -> 22* 21(301) -> 302* 21(226) -> 227* 21(193) -> 194* 21(197) -> 198* 21(305) -> 306* 21(286) -> 287* 21(230) -> 231* 21(282) -> 283* 41(236) -> 237* 41(195) -> 196* 41(307) -> 308* 41(271) -> 272* 41(199) -> 200* 41(335) -> 336* 41(238) -> 239* 41(269) -> 270* 41(232) -> 233* 41(244) -> 245* 41(349) -> 350* 41(277) -> 278* 41(228) -> 229* 41(239) -> 240* 41(303) -> 304* 41(336) -> 337* 41(350) -> 351* 41(272) -> 273* 41(333) -> 334* 41(341) -> 342* 51(304) -> 305* 51(196) -> 197* 51(351) -> 352* 51(345) -> 346* 51(194) -> 195* 51(229) -> 230* 51(227) -> 228* 51(302) -> 303* 51(200) -> 201* 51(281) -> 282* 51(308) -> 309* 51(233) -> 234* 11(300) -> 301* 11(346) -> 347* 11(288) -> 289* 11(348) -> 349* 11(225) -> 226* 11(337) -> 338* 11(273) -> 274* 11(241) -> 242* 11(340) -> 341* 11(276) -> 277* 11(275) -> 276* 11(338) -> 339* 11(242) -> 243* 11(243) -> 244* 11(274) -> 275* 11(240) -> 241* 11(192) -> 193* 11(339) -> 340* 70 -> 23,151 142 -> 13* 353 -> 309* 159 -> 88* 83 -> 236,192 115 -> 88* 310 -> 53* 182 -> 344* 12 -> 88* 106 -> 23,151 188 -> 269,225 82 -> 280* 124 -> 52,14 22 -> 23,151 150 -> 13,33,152 235 -> 190* 343 -> 53* 183 -> 333,300 1 -> 88* 246 -> 85* 184 -> 13,107 41 -> 88* 133 -> 3,24 167 -> 88* 289 -> 201* 97 -> 52* 51 -> 88* 87 -> 13* 202 -> 85* 32 -> 88* 61 -> 88* 176 -> 52* 279 -> 190* 78 -> 13* problem: Qed