YES Problem: 0(0(1(x1))) -> 2(0(3(3(0(1(x1)))))) 0(1(0(x1))) -> 0(1(3(4(0(3(x1)))))) 0(1(0(x1))) -> 2(0(3(0(1(4(x1)))))) 0(1(1(x1))) -> 0(3(1(3(1(x1))))) 0(1(1(x1))) -> 1(3(0(1(4(x1))))) 0(1(1(x1))) -> 0(1(3(1(3(1(x1)))))) 0(1(1(x1))) -> 1(3(2(1(3(0(x1)))))) 0(1(1(x1))) -> 1(3(3(1(4(0(x1)))))) 0(1(1(x1))) -> 3(0(3(1(5(1(x1)))))) 0(1(1(x1))) -> 5(0(3(1(5(1(x1)))))) 0(5(0(x1))) -> 3(0(3(5(0(x1))))) 0(5(0(x1))) -> 3(5(0(0(3(x1))))) 0(5(0(x1))) -> 5(0(3(0(2(x1))))) 0(5(0(x1))) -> 5(0(3(3(0(x1))))) 0(5(0(x1))) -> 4(5(0(3(3(0(x1)))))) 0(5(0(x1))) -> 4(5(0(3(5(0(x1)))))) 0(5(0(x1))) -> 5(3(0(1(3(0(x1)))))) 2(0(0(x1))) -> 0(3(0(3(2(x1))))) 2(0(0(x1))) -> 0(3(3(0(2(3(x1)))))) 2(0(0(x1))) -> 0(3(5(2(0(3(x1)))))) 5(1(0(x1))) -> 3(5(0(1(4(3(x1)))))) 5(1(0(x1))) -> 3(5(1(4(0(3(x1)))))) 5(1(1(x1))) -> 3(1(5(1(x1)))) 5(1(1(x1))) -> 1(3(1(3(5(x1))))) 5(1(1(x1))) -> 1(3(3(3(5(1(x1)))))) 5(1(1(x1))) -> 1(3(5(5(1(4(x1)))))) 0(2(0(1(x1)))) -> 0(2(3(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(0(1(3(5(x1))))) 0(5(4(0(x1)))) -> 0(4(5(0(3(x1))))) 2(0(2(0(x1)))) -> 3(0(3(0(2(2(x1)))))) 2(0(4(1(x1)))) -> 2(3(0(1(4(4(x1)))))) 2(0(5(0(x1)))) -> 0(0(3(5(2(x1))))) 2(2(4(1(x1)))) -> 3(2(4(3(2(1(x1)))))) 5(1(0(1(x1)))) -> 0(5(1(4(3(1(x1)))))) 5(1(1(0(x1)))) -> 0(5(1(5(1(x1))))) 5(1(2(0(x1)))) -> 3(1(3(5(0(2(x1)))))) 5(1(5(0(x1)))) -> 5(3(5(0(1(x1))))) 5(2(0(1(x1)))) -> 5(1(0(3(2(x1))))) 5(3(1(1(x1)))) -> 5(3(1(3(1(5(x1)))))) 5(4(1(1(x1)))) -> 5(1(4(1(4(5(x1)))))) 5(5(1(0(x1)))) -> 5(0(5(1(3(x1))))) 5(5(1(1(x1)))) -> 5(1(3(5(0(1(x1)))))) 0(2(4(1(0(x1))))) -> 2(4(0(0(1(3(x1)))))) 0(5(5(1(1(x1))))) -> 5(1(3(5(0(1(x1)))))) 2(2(2(4(1(x1))))) -> 1(2(2(1(4(2(x1)))))) 2(5(0(1(1(x1))))) -> 5(1(2(0(1(3(x1)))))) 5(0(2(4(1(x1))))) -> 5(1(4(0(3(2(x1)))))) 5(2(4(1(0(x1))))) -> 0(2(3(4(5(1(x1)))))) 5(3(0(4(1(x1))))) -> 5(3(0(1(4(1(x1)))))) 5(3(4(1(1(x1))))) -> 1(4(3(5(2(1(x1)))))) Proof: Bounds Processor: bound: 2 enrichment: match automaton: final states: {180,175,171,168,165,160,156,154,150,145,140,138,135, 131,129,125,120,116,111,106,103,101,99,95,91,86,41, 83,78,74,69,65,62,60,59,56,51,48,44,43,38,33,27,25, 24,20,14,8,1} transitions: 22(384) -> 385* 40(2) -> 15* 40(104) -> 105* 40(158) -> 159* 40(3) -> 176* 40(52) -> 161* 40(182) -> 183* 40(9) -> 79* 40(15) -> 112* 40(67) -> 169* 40(147) -> 148* 40(39) -> 172* 40(10) -> 11* 40(56) -> 59* 40(28) -> 34* 40(61) -> 60* 40(122) -> 123* 40(21) -> 126* 40(87) -> 146* 02(380) -> 381* 02(383) -> 384* 51(264) -> 265* 51(405) -> 406* 51(334) -> 335* 51(396) -> 397* 51(398) -> 399* 51(243) -> 244* 51(284) -> 285* 51(249) -> 250* 51(360) -> 361* 51(223) -> 224* 51(344) -> 345* 51(410) -> 411* 51(292) -> 293* 51(283) -> 284* 51(302) -> 303* 11(221) -> 222* 11(300) -> 301* 11(191) -> 192* 11(245) -> 246* 11(268) -> 269* 11(250) -> 251* 11(420) -> 421* 11(266) -> 267* 11(342) -> 343* 11(198) -> 199* 11(248) -> 249* 11(422) -> 423* 11(282) -> 283* 11(228) -> 229* 11(286) -> 287* 11(362) -> 363* 11(358) -> 359* 20(115) -> 111* 20(162) -> 163* 20(52) -> 107* 20(7) -> 1* 20(173) -> 174* 20(6) -> 100* 20(3) -> 121* 20(159) -> 156* 20(30) -> 31* 20(19) -> 14* 20(10) -> 75* 20(9) -> 70* 20(123) -> 124* 20(163) -> 164* 20(157) -> 166* 20(2) -> 52* 10(94) -> 91* 10(29) -> 30* 10(146) -> 147* 10(166) -> 167* 10(15) -> 16* 10(142) -> 143* 10(39) -> 40* 10(67) -> 139* 10(90) -> 86* 10(79) -> 80* 10(169) -> 170* 10(148) -> 149* 10(137) -> 155* 10(23) -> 26* 10(183) -> 180* 10(18) -> 24* 10(9) -> 151* 10(11) -> 84* 10(126) -> 127* 10(176) -> 177* 10(12) -> 13* 10(164) -> 160* 10(112) -> 113* 10(34) -> 35* 10(37) -> 33* 10(133) -> 134* 10(87) -> 141* 10(98) -> 95* 10(32) -> 27* 10(88) -> 89* 10(161) -> 162* 10(21) -> 22* 10(2) -> 3* 31(251) -> 252* 31(390) -> 391* 31(330) -> 331* 31(200) -> 201* 31(265) -> 266* 31(361) -> 362* 31(224) -> 225* 31(311) -> 312* 31(193) -> 194* 31(201) -> 202* 31(270) -> 271* 31(313) -> 314* 31(411) -> 412* 31(219) -> 220* 31(388) -> 389* 31(340) -> 341* 31(244) -> 245* 31(246) -> 247* 31(271) -> 272* 31(327) -> 328* 31(194) -> 195* 31(267) -> 268* 30(132) -> 133* 30(172) -> 173* 30(17) -> 18* 30(85) -> 83* 30(178) -> 179* 30(2) -> 9* 30(22) -> 23* 30(40) -> 41* 30(47) -> 44* 30(36) -> 37* 30(28) -> 29* 30(124) -> 120* 30(181) -> 182* 30(117) -> 118* 30(4) -> 5* 30(5) -> 6* 30(63) -> 64* 30(97) -> 98* 30(76) -> 77* 30(42) -> 38* 30(39) -> 92* 30(72) -> 73* 30(71) -> 72* 30(110) -> 106* 30(136) -> 137* 30(82) -> 78* 30(114) -> 115* 30(108) -> 109* 30(29) -> 57* 30(89) -> 90* 30(134) -> 131* 30(52) -> 66* 30(87) -> 88* 30(50) -> 48* 30(93) -> 94* 30(143) -> 144* 30(121) -> 122* 30(45) -> 46* 30(3) -> 21* 30(92) -> 93* 30(141) -> 142* 30(11) -> 12* 30(53) -> 54* 30(67) -> 68* 30(35) -> 36* 30(31) -> 32* 21(241) -> 242* 21(310) -> 311* 21(196) -> 197* 21(333) -> 334* 21(203) -> 204* 21(408) -> 409* 21(328) -> 329* 00(52) -> 53* 00(89) -> 102* 00(16) -> 17* 00(66) -> 67* 00(157) -> 158* 00(68) -> 65* 00(2) -> 28* 00(10) -> 49* 00(119) -> 116* 00(13) -> 8* 00(102) -> 101* 00(80) -> 81* 00(128) -> 125* 00(54) -> 55* 00(9) -> 10* 00(57) -> 58* 00(113) -> 114* 00(3) -> 4* 00(18) -> 19* 00(46) -> 47* 00(109) -> 110* 00(152) -> 153* 00(77) -> 74* 00(107) -> 108* 00(6) -> 7* 00(105) -> 103* 00(174) -> 171* 00(130) -> 129* 00(118) -> 119* 00(30) -> 63* 00(41) -> 42* 00(26) -> 25* 00(70) -> 71* 00(100) -> 99* 00(73) -> 69* 00(23) -> 20* 00(177) -> 178* 00(151) -> 157* 41(281) -> 282* 41(220) -> 221* 41(294) -> 295* 41(227) -> 228* 41(308) -> 309* 41(357) -> 358* 41(341) -> 342* 01(199) -> 200* 01(226) -> 227* 01(329) -> 330* 01(343) -> 344* 01(430) -> 431* 01(364) -> 365* 01(242) -> 243* 01(409) -> 410* 01(202) -> 203* 01(312) -> 313* 01(332) -> 333* 01(314) -> 315* 01(363) -> 364* 01(356) -> 357* 01(195) -> 196* 01(406) -> 407* 01(222) -> 223* 01(428) -> 429* 01(192) -> 193* 50(81) -> 82* 50(153) -> 150* 50(47) -> 61* 50(10) -> 104* 50(149) -> 145* 50(52) -> 117* 50(58) -> 56* 50(28) -> 45* 50(170) -> 168* 50(75) -> 76* 50(3) -> 39* 50(2) -> 87* 50(151) -> 152* 50(49) -> 50* 50(4) -> 136* 50(144) -> 140* 50(127) -> 128* 50(84) -> 85* 50(167) -> 165* 50(42) -> 43* 50(40) -> 130* 50(139) -> 138* 50(55) -> 51* 50(155) -> 154* 50(53) -> 132* 50(137) -> 135* 50(96) -> 97* 50(16) -> 96* 50(121) -> 181* 50(179) -> 175* 50(64) -> 62* 32(381) -> 382* 32(382) -> 383* 12(379) -> 380* f60() -> 2* 247 -> 165* 156 -> 28,53 94 -> 294,292,286 151 -> 241* 56 -> 28* 27 -> 28,4 43 -> 28,4 328 -> 332* 24 -> 28,4 412 -> 250* 399 -> 361* 74 -> 52* 131 -> 87,39 285 -> 267* 168 -> 87,45,132 154 -> 28,87 250 -> 270* 160 -> 52,107 48 -> 28* 83 -> 87,39 362 -> 379* 69 -> 52* 295 -> 282* 335 -> 313* 140 -> 87* 421 -> 405* 14 -> 28,4 106 -> 52* 359 -> 344* 66 -> 219* 252 -> 130* 118 -> 327,310 180 -> 87* 301 -> 249* 204 -> 158* 249 -> 430* 431 -> 284* 345 -> 251* 88 -> 191* 220 -> 226* 116 -> 52* 171 -> 87,117 389 -> 420,341 407 -> 130* 150 -> 87* 138 -> 87,117 385 -> 365,129 91 -> 87,39 309 -> 282* 269 -> 130* 86 -> 87,39 38 -> 28,4 343 -> 405* 125 -> 87,39 423 -> 405* 135 -> 87,39 44 -> 28* 197 -> 101* 60 -> 28* 101 -> 28* 165 -> 52* 287 -> 428,249 8 -> 28,4 1 -> 28* 62 -> 28* 293 -> 265* 397 -> 361* 99 -> 28,53 20 -> 28,4 90 -> 281,264,248 130 -> 398,390 175 -> 87* 65 -> 52* 34 -> 28* 95 -> 87,39 341 -> 422,356 331 -> 313* 9 -> 198* 225 -> 138* 120 -> 52,107 41 -> 87,39 365 -> 129* 145 -> 87* 391 -> 341* 129 -> 87,39 383 -> 408* 303 -> 265* 51 -> 28* 229 -> 223* 98 -> 308,302,300 103 -> 28* 128 -> 360,340 315 -> 107* 25 -> 28,4 429 -> 284* 111 -> 52* 364 -> 396,388 33 -> 28,4 78 -> 87,39 272 -> 267* problem: Qed