/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES

Problem:
 0(0(1(1(x1)))) -> 2(3(4(2(4(5(5(2(4(4(x1))))))))))
 5(3(1(3(x1)))) -> 2(2(4(2(4(4(2(4(5(1(x1))))))))))
 0(0(0(1(5(x1))))) -> 1(3(4(2(1(3(3(4(5(5(x1))))))))))
 0(0(0(2(5(x1))))) -> 0(1(3(2(4(5(5(1(3(5(x1))))))))))
 1(4(0(2(3(x1))))) -> 1(3(3(2(3(4(4(2(1(4(x1))))))))))
 2(5(5(4(3(x1))))) -> 0(1(3(4(4(2(3(2(4(3(x1))))))))))
 4(5(2(5(0(x1))))) -> 2(4(4(2(2(3(4(5(2(0(x1))))))))))
 0(0(3(1(3(0(x1)))))) -> 2(1(2(1(3(3(2(2(2(0(x1))))))))))
 1(1(1(1(1(5(x1)))))) -> 2(2(3(2(4(3(3(1(1(5(x1))))))))))
 2(0(3(4(1(5(x1)))))) -> 2(3(4(2(3(1(2(1(4(5(x1))))))))))
 4(0(5(1(0(2(x1)))))) -> 1(0(2(3(2(2(4(5(2(2(x1))))))))))
 4(1(0(0(1(2(x1)))))) -> 4(0(1(4(2(2(4(3(5(2(x1))))))))))
 5(1(1(0(4(3(x1)))))) -> 5(2(1(4(4(4(2(1(4(2(x1))))))))))
 0(0(0(0(3(1(4(x1))))))) -> 0(1(2(1(1(5(5(5(2(2(x1))))))))))
 0(0(1(0(0(1(3(x1))))))) -> 2(0(3(3(4(4(0(3(5(1(x1))))))))))
 0(0(2(0(1(1(4(x1))))))) -> 5(2(2(0(4(4(4(4(4(1(x1))))))))))
 0(0(5(3(0(4(3(x1))))))) -> 2(0(3(5(2(2(2(3(1(3(x1))))))))))
 0(0(5(3(1(3(0(x1))))))) -> 5(5(2(3(5(4(2(2(2(0(x1))))))))))
 0(1(0(0(0(0(4(x1))))))) -> 2(4(5(1(4(1(5(5(4(2(x1))))))))))
 0(1(5(1(4(0(0(x1))))))) -> 2(2(2(4(0(2(4(3(5(0(x1))))))))))
 0(2(5(4(4(0(0(x1))))))) -> 2(3(4(2(1(4(5(4(0(0(x1))))))))))
 0(3(0(1(0(1(3(x1))))))) -> 0(4(1(2(4(5(3(0(3(3(x1))))))))))
 0(5(0(2(5(1(4(x1))))))) -> 0(2(2(4(4(0(4(2(1(4(x1))))))))))
 0(5(0(4(0(4(3(x1))))))) -> 0(5(3(5(2(1(2(1(4(3(x1))))))))))
 0(5(1(0(0(2(5(x1))))))) -> 2(1(4(2(1(2(1(0(4(5(x1))))))))))
 0(5(3(0(1(4(4(x1))))))) -> 2(1(2(4(2(5(5(1(2(4(x1))))))))))
 0(5(3(0(5(4(4(x1))))))) -> 1(1(1(2(2(2(4(3(1(1(x1))))))))))
 0(5(5(3(4(3(2(x1))))))) -> 2(3(3(3(0(2(4(3(3(2(x1))))))))))
 1(0(4(3(5(5(4(x1))))))) -> 2(2(2(1(4(5(3(5(5(4(x1))))))))))
 1(2(0(0(5(3(0(x1))))))) -> 2(2(0(3(1(2(0(3(3(0(x1))))))))))
 1(2(3(0(0(0(4(x1))))))) -> 2(1(2(3(1(4(3(2(5(4(x1))))))))))
 1(2(5(0(0(0(5(x1))))))) -> 1(0(5(5(0(3(0(5(2(5(x1))))))))))
 1(4(0(5(5(3(0(x1))))))) -> 1(2(4(3(0(1(0(4(2(0(x1))))))))))
 2(0(3(1(0(0(4(x1))))))) -> 2(0(4(1(1(5(3(3(3(2(x1))))))))))
 2(0(5(2(5(4(5(x1))))))) -> 5(1(2(2(0(4(2(2(4(5(x1))))))))))
 2(1(0(0(0(0(4(x1))))))) -> 2(1(4(5(5(2(2(1(2(2(x1))))))))))
 2(3(0(0(0(1(2(x1))))))) -> 2(0(4(0(4(4(3(4(5(2(x1))))))))))
 3(0(0(0(4(5(4(x1))))))) -> 3(4(4(2(1(3(0(0(3(2(x1))))))))))
 3(0(0(5(4(3(3(x1))))))) -> 4(2(5(2(2(4(3(5(2(1(x1))))))))))
 3(0(3(4(0(1(4(x1))))))) -> 4(2(4(2(4(3(0(1(5(2(x1))))))))))
 3(2(5(5(0(0(0(x1))))))) -> 4(3(1(1(2(4(5(3(5(0(x1))))))))))
 3(3(4(3(4(1(5(x1))))))) -> 4(4(3(4(4(2(1(1(4(5(x1))))))))))
 4(3(4(0(5(4(3(x1))))))) -> 4(3(4(1(4(3(4(2(1(4(x1))))))))))
 5(0(0(0(5(5(1(x1))))))) -> 5(2(3(2(2(5(3(3(2(0(x1))))))))))
 5(0(0(1(1(4(4(x1))))))) -> 5(5(0(3(0(3(3(3(2(4(x1))))))))))
 5(0(0(5(5(1(2(x1))))))) -> 5(5(5(5(1(4(1(5(2(2(x1))))))))))
 5(0(1(2(5(1(4(x1))))))) -> 5(0(5(5(5(1(3(2(4(4(x1))))))))))
 5(1(0(2(5(1(4(x1))))))) -> 5(0(1(2(4(2(4(5(5(1(x1))))))))))
 5(1(1(0(1(4(5(x1))))))) -> 5(2(1(0(4(1(2(4(3(0(x1))))))))))
 5(1(2(5(1(4(1(x1))))))) -> 5(5(2(4(5(0(2(2(4(3(x1))))))))))
 5(2(5(3(1(4(4(x1))))))) -> 5(2(4(3(1(2(1(2(1(4(x1))))))))))
 5(3(2(5(0(0(1(x1))))))) -> 3(4(2(1(4(3(4(5(5(3(x1))))))))))
 5(3(4(5(0(1(4(x1))))))) -> 2(3(2(1(4(5(0(2(4(2(x1))))))))))
 5(4(5(0(0(5(4(x1))))))) -> 5(5(1(3(5(1(0(4(0(2(x1))))))))))

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {443,435,426,419,412,404,396,389,382,374,366,360,353,
                  346,338,329,321,313,305,297,290,282,273,265,256,247,
                  238,229,220,212,204,198,189,180,171,163,157,148,139,
                  131,124,115,106,96,87,78,70,60,50,41,32,22,12,1}
   transitions:
    20(69) -> 60*
    20(301) -> 302*
    20(194) -> 195*
    20(122) -> 123*
    20(432) -> 433*
    20(116) -> 436*
    20(207) -> 208*
    20(160) -> 161*
    20(88) -> 298*
    20(296) -> 290*
    20(13) -> 330*
    20(179) -> 171*
    20(370) -> 371*
    20(400) -> 401*
    20(77) -> 70*
    20(145) -> 146*
    20(185) -> 186*
    20(109) -> 110*
    20(188) -> 180*
    20(219) -> 212*
    20(253) -> 254*
    20(270) -> 271*
    20(226) -> 227*
    20(354) -> 355*
    20(97) -> 98*
    20(174) -> 175*
    20(372) -> 373*
    20(201) -> 202*
    20(333) -> 334*
    20(342) -> 343*
    20(20) -> 21*
    20(85) -> 86*
    20(369) -> 370*
    20(75) -> 76*
    20(42) -> 43*
    20(103) -> 104*
    20(205) -> 206*
    20(302) -> 303*
    20(101) -> 102*
    20(259) -> 260*
    20(52) -> 53*
    20(15) -> 16*
    20(405) -> 406*
    20(312) -> 305*
    20(307) -> 308*
    20(228) -> 220*
    20(241) -> 242*
    20(216) -> 217*
    20(23) -> 274*
    20(62) -> 71*
    20(320) -> 313*
    20(66) -> 67*
    20(53) -> 413*
    20(100) -> 101*
    20(83) -> 84*
    20(86) -> 78*
    20(325) -> 326*
    20(11) -> 1*
    20(214) -> 215*
    20(264) -> 256*
    20(3) -> 221*
    20(272) -> 265*
    20(89) -> 90*
    20(178) -> 179*
    20(150) -> 151*
    20(248) -> 266*
    20(254) -> 255*
    20(138) -> 131*
    20(151) -> 152*
    20(234) -> 235*
    20(37) -> 38*
    20(334) -> 335*
    20(61) -> 62*
    20(233) -> 234*
    20(21) -> 12*
    20(8) -> 9*
    20(4) -> 5*
    20(92) -> 93*
    20(71) -> 72*
    20(152) -> 153*
    20(348) -> 349*
    20(442) -> 435*
    20(255) -> 247*
    20(232) -> 233*
    20(246) -> 238*
    20(170) -> 163*
    20(95) -> 87*
    20(110) -> 111*
    20(202) -> 203*
    20(54) -> 55*
    20(146) -> 147*
    20(398) -> 399*
    20(128) -> 129*
    20(65) -> 66*
    20(288) -> 289*
    20(224) -> 225*
    20(306) -> 307*
    20(263) -> 264*
    20(416) -> 417*
    20(117) -> 118*
    20(156) -> 148*
    20(424) -> 425*
    20(28) -> 29*
    20(46) -> 47*
    20(336) -> 337*
    20(177) -> 178*
    20(298) -> 299*
    20(344) -> 345*
    20(420) -> 421*
    20(440) -> 441*
    20(18) -> 19*
    20(410) -> 411*
    20(2) -> 97*
    f60() -> 2*
    00(203) -> 198*
    00(408) -> 409*
    00(379) -> 380*
    00(104) -> 105*
    00(283) -> 284*
    00(377) -> 378*
    00(339) -> 340*
    00(285) -> 286*
    00(445) -> 446*
    00(319) -> 320*
    00(44) -> 199*
    00(402) -> 403*
    00(2) -> 61*
    00(113) -> 114*
    00(300) -> 301*
    00(239) -> 322*
    00(144) -> 145*
    00(436) -> 437*
    00(280) -> 281*
    00(277) -> 278*
    00(242) -> 243*
    00(190) -> 191*
    00(295) -> 296*
    00(211) -> 204*
    00(61) -> 181*
    00(258) -> 259*
    00(130) -> 124*
    00(322) -> 323*
    00(40) -> 32*
    00(97) -> 444*
    00(413) -> 414*
    00(175) -> 176*
    00(394) -> 395*
    00(317) -> 318*
    00(155) -> 156*
    00(88) -> 213*
    00(197) -> 189*
    00(137) -> 138*
    00(275) -> 276*
    00(132) -> 133*
    00(59) -> 50*
    00(262) -> 263*
    10(213) -> 214*
    10(421) -> 422*
    10(324) -> 325*
    10(221) -> 222*
    10(252) -> 253*
    10(2) -> 13*
    10(215) -> 216*
    10(105) -> 96*
    10(127) -> 128*
    10(409) -> 410*
    10(268) -> 269*
    10(303) -> 304*
    10(23) -> 79*
    10(33) -> 34*
    10(76) -> 77*
    10(51) -> 149*
    10(126) -> 127*
    10(79) -> 80*
    10(121) -> 122*
    10(292) -> 293*
    10(195) -> 196*
    10(311) -> 312*
    10(206) -> 207*
    10(74) -> 75*
    10(31) -> 22*
    10(165) -> 166*
    10(3) -> 42*
    10(439) -> 440*
    10(289) -> 282*
    10(384) -> 385*
    10(271) -> 272*
    10(446) -> 447*
    10(52) -> 205*
    10(350) -> 351*
    10(49) -> 41*
    10(235) -> 236*
    10(116) -> 117*
    10(89) -> 354*
    10(401) -> 402*
    10(107) -> 339*
    10(167) -> 168*
    10(39) -> 40*
    10(390) -> 391*
    10(284) -> 285*
    10(13) -> 230*
    10(431) -> 432*
    10(90) -> 91*
    10(43) -> 420*
    10(184) -> 185*
    10(236) -> 237*
    10(27) -> 28*
    10(260) -> 261*
    10(449) -> 450*
    10(129) -> 130*
    10(237) -> 229*
    10(349) -> 350*
    10(362) -> 363*
    10(98) -> 306*
    10(88) -> 89*
    10(281) -> 273*
    10(227) -> 228*
    10(58) -> 59*
    10(293) -> 294*
    10(99) -> 383*
    10(406) -> 407*
    10(218) -> 219*
    10(112) -> 113*
    30(240) -> 291*
    30(422) -> 423*
    30(364) -> 365*
    30(44) -> 361*
    30(269) -> 270*
    30(2) -> 51*
    30(378) -> 379*
    30(10) -> 11*
    30(5) -> 390*
    30(48) -> 49*
    30(62) -> 367*
    30(53) -> 54*
    30(135) -> 136*
    30(375) -> 376*
    30(441) -> 442*
    30(328) -> 321*
    30(102) -> 103*
    30(367) -> 368*
    30(72) -> 73*
    30(61) -> 257*
    30(80) -> 81*
    30(94) -> 95*
    30(261) -> 262*
    30(191) -> 192*
    30(25) -> 26*
    30(429) -> 430*
    30(221) -> 375*
    30(57) -> 58*
    30(154) -> 155*
    30(64) -> 65*
    30(276) -> 277*
    30(286) -> 287*
    30(340) -> 341*
    30(97) -> 239*
    30(243) -> 244*
    30(172) -> 173*
    30(47) -> 48*
    30(249) -> 250*
    30(266) -> 267*
    30(331) -> 332*
    30(371) -> 372*
    30(209) -> 210*
    30(323) -> 324*
    30(314) -> 315*
    30(149) -> 150*
    30(187) -> 188*
    30(107) -> 108*
    30(448) -> 449*
    30(257) -> 258*
    30(38) -> 39*
    30(434) -> 426*
    30(84) -> 85*
    30(45) -> 46*
    30(136) -> 137*
    30(51) -> 190*
    30(357) -> 358*
    30(351) -> 352*
    30(230) -> 231*
    30(159) -> 160*
    30(30) -> 31*
    30(14) -> 132*
    30(91) -> 92*
    30(26) -> 27*
    30(81) -> 82*
    30(245) -> 246*
    30(239) -> 240*
    30(73) -> 74*
    30(23) -> 33*
    30(376) -> 377*
    30(244) -> 245*
    50(35) -> 36*
    50(153) -> 154*
    50(5) -> 6*
    50(158) -> 159*
    50(208) -> 209*
    50(425) -> 419*
    50(278) -> 279*
    50(335) -> 336*
    50(391) -> 392*
    50(368) -> 369*
    50(248) -> 249*
    50(381) -> 374*
    50(414) -> 415*
    50(3) -> 248*
    50(330) -> 331*
    50(385) -> 386*
    50(437) -> 438*
    50(168) -> 169*
    50(393) -> 394*
    50(274) -> 275*
    50(450) -> 451*
    50(418) -> 412*
    50(182) -> 183*
    50(62) -> 63*
    50(304) -> 297*
    50(116) -> 164*
    50(250) -> 251*
    50(411) -> 404*
    50(97) -> 107*
    50(13) -> 14*
    50(23) -> 24*
    50(14) -> 397*
    50(125) -> 126*
    50(99) -> 125*
    50(403) -> 396*
    50(447) -> 448*
    50(279) -> 280*
    50(210) -> 211*
    50(387) -> 388*
    50(61) -> 172*
    50(308) -> 309*
    50(123) -> 115*
    50(223) -> 224*
    50(164) -> 165*
    50(427) -> 428*
    50(222) -> 223*
    50(173) -> 347*
    50(34) -> 35*
    50(309) -> 310*
    50(192) -> 193*
    50(291) -> 292*
    50(395) -> 389*
    50(98) -> 99*
    50(162) -> 157*
    50(147) -> 139*
    50(386) -> 387*
    50(51) -> 427*
    50(392) -> 393*
    50(451) -> 443*
    50(388) -> 382*
    50(6) -> 7*
    50(161) -> 162*
    50(417) -> 418*
    50(373) -> 366*
    50(2) -> 23*
    50(380) -> 381*
    40(217) -> 218*
    40(294) -> 295*
    40(17) -> 18*
    40(176) -> 177*
    40(257) -> 405*
    40(363) -> 364*
    40(23) -> 88*
    40(358) -> 359*
    40(2) -> 3*
    40(43) -> 44*
    40(36) -> 37*
    40(14) -> 15*
    40(225) -> 226*
    40(343) -> 344*
    40(327) -> 328*
    40(181) -> 182*
    40(438) -> 439*
    40(63) -> 64*
    40(318) -> 319*
    40(107) -> 314*
    40(13) -> 140*
    40(97) -> 116*
    40(196) -> 197*
    40(55) -> 56*
    40(72) -> 158*
    40(444) -> 445*
    40(62) -> 283*
    40(299) -> 300*
    40(361) -> 362*
    40(119) -> 120*
    40(399) -> 400*
    40(287) -> 288*
    40(345) -> 338*
    40(397) -> 398*
    40(428) -> 429*
    40(99) -> 100*
    40(118) -> 119*
    40(82) -> 83*
    40(9) -> 10*
    40(332) -> 333*
    40(199) -> 200*
    40(68) -> 69*
    40(56) -> 57*
    40(423) -> 424*
    40(142) -> 143*
    40(114) -> 106*
    40(108) -> 109*
    40(111) -> 112*
    40(315) -> 316*
    40(133) -> 134*
    40(29) -> 30*
    40(356) -> 357*
    40(433) -> 434*
    40(326) -> 327*
    40(347) -> 348*
    40(140) -> 141*
    40(134) -> 135*
    40(352) -> 346*
    40(93) -> 94*
    40(143) -> 144*
    40(24) -> 25*
    40(337) -> 329*
    40(231) -> 232*
    40(267) -> 268*
    40(365) -> 360*
    40(240) -> 241*
    40(44) -> 45*
    40(186) -> 187*
    40(7) -> 8*
    40(251) -> 252*
    40(3) -> 4*
    40(359) -> 353*
    40(193) -> 194*
    40(341) -> 342*
    40(430) -> 431*
    40(120) -> 121*
    40(415) -> 416*
    40(407) -> 408*
    40(316) -> 317*
    40(200) -> 201*
    40(141) -> 142*
    40(310) -> 311*
    40(183) -> 184*
    40(169) -> 170*
    40(166) -> 167*
    40(173) -> 174*
    40(19) -> 20*
    40(67) -> 68*
    40(16) -> 17*
    40(355) -> 356*
    40(51) -> 52*
    40(383) -> 384*
    435 -> 23,427
    247 -> 13*
    238 -> 61*
    163 -> 61*
    321 -> 51,257
    70 -> 61,181
    396 -> 23,14
    412 -> 23,14
    131 -> 61,181
    353 -> 51,190
    148 -> 61,181
    360 -> 3,52
    198 -> 61*
    256 -> 13*
    115 -> 23,14
    189 -> 61*
    290 -> 97,62
    282 -> 13,42
    12 -> 23,427
    106 -> 3,140
    419 -> 23,107,275
    212 -> 61*
    265 -> 13*
    313 -> 97*
    180 -> 61,444
    204 -> 61*
    124 -> 61,181
    22 -> 61,181
    220 -> 61*
    404 -> 23,14
    171 -> 61*
    389 -> 23,172
    346 -> 51,239
    297 -> 97,62
    426 -> 23,427
    139 -> 61,181
    60 -> 3,88,314
    305 -> 97,330
    1 -> 61,181
    443 -> 23,248
    382 -> 23,172
    50 -> 97,274
    41 -> 13,42
    96 -> 3*
    374 -> 23,172
    273 -> 13*
    229 -> 61*
    87 -> 97,62
    338 -> 51,257
    32 -> 61,181
    329 -> 51,257
    366 -> 23,172
    157 -> 61,181
    78 -> 13,230
  problem:
   
  Qed