YES Problem: 0(0(1(x1))) -> 0(2(3(0(1(x1))))) 0(0(1(x1))) -> 0(4(0(5(4(1(x1)))))) 0(0(1(x1))) -> 2(1(0(0(3(4(x1)))))) 0(0(1(x1))) -> 4(0(5(4(0(1(x1)))))) 0(1(0(x1))) -> 0(0(2(1(2(x1))))) 0(1(0(x1))) -> 1(0(0(5(4(x1))))) 0(1(0(x1))) -> 0(0(2(5(4(1(x1)))))) 0(1(1(x1))) -> 1(0(3(4(1(x1))))) 0(1(1(x1))) -> 5(0(3(4(1(1(x1)))))) 5(0(1(x1))) -> 0(5(4(1(x1)))) 5(0(1(x1))) -> 2(5(4(0(1(x1))))) 5(0(1(x1))) -> 5(0(2(1(2(x1))))) 5(0(1(x1))) -> 0(1(4(5(4(4(x1)))))) 5(0(1(x1))) -> 0(5(4(1(4(4(x1)))))) 5(0(1(x1))) -> 5(0(4(3(0(1(x1)))))) 5(1(0(x1))) -> 5(0(2(2(1(x1))))) 5(1(0(x1))) -> 5(0(5(4(1(x1))))) 5(1(0(x1))) -> 0(5(0(2(2(1(x1)))))) 5(1(0(x1))) -> 1(4(0(5(2(3(x1)))))) 5(1(0(x1))) -> 1(5(0(4(4(2(x1)))))) 5(1(0(x1))) -> 4(4(1(0(4(5(x1)))))) 5(1(1(x1))) -> 1(1(5(4(x1)))) 5(1(1(x1))) -> 5(4(1(1(x1)))) 5(1(1(x1))) -> 1(5(3(4(1(x1))))) 5(1(1(x1))) -> 1(1(4(5(4(4(x1)))))) 5(1(1(x1))) -> 3(5(2(3(1(1(x1)))))) 5(1(1(x1))) -> 4(1(2(1(5(4(x1)))))) 0(1(3(0(x1)))) -> 0(2(0(2(1(3(x1)))))) 0(1(5(0(x1)))) -> 0(0(5(4(1(5(x1)))))) 0(1(5(0(x1)))) -> 0(5(4(2(1(0(x1)))))) 0(3(0(1(x1)))) -> 0(0(4(1(3(0(x1)))))) 0(3(1(0(x1)))) -> 0(0(2(3(1(x1))))) 0(3(1(1(x1)))) -> 5(1(1(0(3(4(x1)))))) 5(0(1(0(x1)))) -> 5(0(0(4(1(3(x1)))))) 5(1(2(0(x1)))) -> 1(4(0(5(4(2(x1)))))) 5(1(2(0(x1)))) -> 5(0(4(2(2(1(x1)))))) 5(1(4(0(x1)))) -> 1(5(4(0(2(3(x1)))))) 5(1(4(0(x1)))) -> 4(5(2(1(3(0(x1)))))) 5(1(5(1(x1)))) -> 5(4(1(5(1(x1))))) 5(3(0(1(x1)))) -> 0(1(5(2(3(x1))))) 5(3(1(0(x1)))) -> 1(4(3(5(0(x1))))) 5(3(1(0(x1)))) -> 1(5(0(4(3(x1))))) 5(3(1(0(x1)))) -> 5(4(3(1(0(x1))))) 5(3(1(0(x1)))) -> 1(3(0(4(3(5(x1)))))) 5(3(1(1(x1)))) -> 1(1(5(3(3(4(x1)))))) 0(1(2(5(0(x1))))) -> 1(5(4(0(2(0(x1)))))) 0(1(4(2(0(x1))))) -> 1(0(4(2(3(0(x1)))))) 1(4(5(1(0(x1))))) -> 5(4(2(1(1(0(x1)))))) 5(0(1(4(0(x1))))) -> 1(4(5(4(0(0(x1)))))) 5(5(1(0(0(x1))))) -> 5(5(0(4(1(0(x1)))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {182,177,173,169,164,160,155,152,148,144,142,138,135, 131,128,124,120,117,113,108,102,97,92,89,85,84,82,81, 79,73,68,62,61,60,56,53,49,44,43,42,10,37,34,31,27, 22,18,12,7,1} transitions: 40(2) -> 13* 40(105) -> 106* 40(178) -> 179* 40(104) -> 183* 40(91) -> 89* 40(23) -> 69* 40(38) -> 39* 40(77) -> 78* 40(180) -> 181* 40(126) -> 127* 40(175) -> 176* 40(110) -> 111* 40(137) -> 135* 40(74) -> 75* 40(3) -> 8* 40(156) -> 157* 40(166) -> 167* 40(10) -> 11* 40(93) -> 121* 40(13) -> 45* 40(4) -> 19* 40(146) -> 147* 40(66) -> 67* 40(69) -> 70* 40(50) -> 51* 40(63) -> 149* 40(98) -> 99* 40(153) -> 154* 40(5) -> 54* 40(46) -> 47* 40(58) -> 129* 40(78) -> 73* 40(132) -> 133* 40(21) -> 18* 40(140) -> 141* 40(170) -> 171* 21(246) -> 247* 21(298) -> 299* 21(401) -> 402* 21(273) -> 274* 21(328) -> 329* 21(404) -> 405* 21(248) -> 249* 21(228) -> 229* 21(272) -> 273* 21(232) -> 233* 21(389) -> 390* 11(193) -> 194* 11(256) -> 257* 11(197) -> 198* 11(302) -> 303* 11(194) -> 195* 11(268) -> 269* 11(366) -> 367* 11(402) -> 403* 11(336) -> 337* 11(233) -> 234* 11(412) -> 413* 11(324) -> 325* 11(196) -> 197* 11(247) -> 248* 00(171) -> 172* 00(122) -> 123* 00(116) -> 113* 00(115) -> 116* 00(58) -> 59* 00(143) -> 142* 00(40) -> 41* 00(183) -> 184* 00(20) -> 21* 00(75) -> 76* 00(103) -> 178* 00(129) -> 130* 00(101) -> 97* 00(35) -> 36* 00(52) -> 49* 00(165) -> 166* 00(15) -> 16* 00(33) -> 31* 00(29) -> 30* 00(112) -> 108* 00(111) -> 112* 00(121) -> 122* 00(32) -> 33* 00(125) -> 126* 00(94) -> 95* 00(70) -> 71* 00(100) -> 101* 00(14) -> 15* 00(6) -> 1* 00(11) -> 7* 00(3) -> 4* 00(96) -> 92* 00(26) -> 22* 00(25) -> 26* 00(107) -> 102* 00(64) -> 132* 00(48) -> 44* 00(54) -> 55* 00(65) -> 66* 00(9) -> 10* 00(56) -> 61* 00(28) -> 29* 00(149) -> 150* 00(157) -> 158* 00(2) -> 103* 10(151) -> 148* 10(65) -> 143* 10(30) -> 27* 10(104) -> 174* 10(127) -> 124* 10(3) -> 38* 10(15) -> 118* 10(168) -> 164* 10(67) -> 62* 10(90) -> 91* 10(63) -> 93* 10(118) -> 119* 10(139) -> 140* 10(134) -> 131* 10(23) -> 24* 10(163) -> 160* 10(181) -> 177* 10(36) -> 34* 10(172) -> 169* 10(47) -> 48* 10(83) -> 82* 10(76) -> 77* 10(80) -> 79* 10(28) -> 80* 10(103) -> 104* 10(162) -> 163* 10(16) -> 17* 10(147) -> 144* 10(48) -> 84* 10(74) -> 98* 10(159) -> 155* 10(45) -> 50* 10(2) -> 3* 10(109) -> 110* 10(72) -> 68* 41(214) -> 215* 41(234) -> 235* 41(348) -> 349* 41(301) -> 302* 41(325) -> 326* 41(384) -> 385* 41(304) -> 305* 41(210) -> 211* 41(386) -> 387* 41(269) -> 270* 41(322) -> 323* 41(364) -> 365* 41(252) -> 253* 41(216) -> 217* 41(334) -> 335* 41(191) -> 192* 41(198) -> 199* 41(326) -> 327* 41(305) -> 306* 41(410) -> 411* 41(359) -> 360* 30(38) -> 86* 30(103) -> 109* 30(104) -> 153* 30(2) -> 63* 30(14) -> 161* 30(4) -> 5* 30(88) -> 85* 30(13) -> 14* 30(39) -> 40* 30(145) -> 146* 30(8) -> 35* 30(3) -> 114* 30(158) -> 159* 30(74) -> 156* 31(211) -> 212* 31(297) -> 298* 31(230) -> 231* 31(227) -> 228* 31(418) -> 419* 31(342) -> 343* 31(360) -> 361* 31(391) -> 392* 31(388) -> 389* 31(349) -> 350* 20(24) -> 25* 20(2) -> 23* 20(93) -> 94* 20(17) -> 12* 20(103) -> 165* 20(5) -> 6* 20(20) -> 42* 20(80) -> 90* 20(9) -> 32* 20(57) -> 58* 20(104) -> 105* 20(3) -> 57* 20(109) -> 170* 20(110) -> 136* 20(95) -> 96* 20(174) -> 175* 20(86) -> 87* 20(63) -> 64* 20(114) -> 115* 01(250) -> 251* 01(306) -> 307* 01(323) -> 324* 01(284) -> 285* 01(286) -> 287* 01(249) -> 250* 01(255) -> 256* 01(300) -> 301* 01(361) -> 362* 01(274) -> 275* 01(254) -> 255* 51(376) -> 377* 51(307) -> 308* 51(199) -> 200* 51(344) -> 345* 51(299) -> 300* 51(212) -> 213* 51(362) -> 363* 51(321) -> 322* 51(390) -> 391* 51(385) -> 386* 51(374) -> 375* 51(270) -> 271* 51(215) -> 216* 51(275) -> 276* 51(229) -> 230* 51(420) -> 421* 51(365) -> 366* 51(253) -> 254* 51(192) -> 193* 50(141) -> 138* 50(150) -> 151* 50(154) -> 152* 50(51) -> 52* 50(39) -> 81* 50(106) -> 107* 50(136) -> 137* 50(13) -> 28* 50(10) -> 60* 50(161) -> 162* 50(8) -> 9* 50(103) -> 145* 50(35) -> 83* 50(41) -> 37* 50(45) -> 46* 50(26) -> 43* 50(3) -> 139* 50(2) -> 74* 50(71) -> 72* 50(119) -> 117* 50(167) -> 168* 50(69) -> 125* 50(133) -> 134* 50(130) -> 128* 50(19) -> 20* 50(55) -> 53* 50(185) -> 182* 50(99) -> 100* 50(87) -> 88* 50(123) -> 120* 50(59) -> 56* 50(176) -> 173* 50(179) -> 180* 50(184) -> 185* 50(64) -> 65* f60() -> 2* 247 -> 304* 327 -> 145* 192 -> 214* 155 -> 74* 56 -> 74,139 403 -> 326* 27 -> 103,4 194 -> 348,232 43 -> 74,145 144 -> 74* 367 -> 401,302 195 -> 388,359,117 375 -> 145* 92 -> 103,4 131 -> 74,139 142 -> 74* 285 -> 275* 413 -> 269* 148 -> 74* 68 -> 74,139 164 -> 103,4 360 -> 374* 160 -> 74* 198 -> 227* 231 -> 117* 35 -> 344,342,336,334,328 42 -> 74,145 182 -> 74* 113 -> 103* 217 -> 193* 7 -> 103,178 335 -> 253* 169 -> 103,4 85 -> 74,139 12 -> 103,178 421 -> 322* 419 -> 298* 117 -> 103* 53 -> 74,145 82 -> 74,139 350 -> 376,255 363 -> 178* 124 -> 74,139 22 -> 103,4 308 -> 302* 377 -> 302* 345 -> 322* 337 -> 269* 171 -> 420,418,412,410,404 173 -> 3* 257 -> 178* 138 -> 74,139 251 -> 178* 177 -> 74,145 79 -> 74,139 269 -> 272* 235 -> 117* 343 -> 298* 73 -> 74,139 135 -> 74,139 44 -> 74,145 197 -> 210* 60 -> 74,139 392 -> 145* 287 -> 145* 1 -> 103,178 49 -> 74,145 31 -> 103,4 62 -> 74,139 193 -> 364* 34 -> 103,4 37 -> 103,4 411 -> 253* 108 -> 103* 405 -> 247* 213 -> 194* 120 -> 74,145 365 -> 384* 18 -> 103,178 276 -> 286,145 84 -> 74,139 303 -> 145* 15 -> 196,191 97 -> 103,4 387 -> 366* 10 -> 74,145 152 -> 74* 271 -> 284,248 81 -> 74,139 128 -> 74,139 89 -> 74,139 29 -> 321,297,268,252,246 102 -> 103,4 61 -> 74,139 200 -> 117* 329 -> 247* problem: Qed