%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:33:35 EDT 2023

% Result   : Theorem 0.29s 1.37s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : LCL644+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % Command  : nanocop.sh %s %d
% 0.09/0.32  % Computer : n020.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Thu May 18 16:03:17 EDT 2023
% 0.17/0.32  % CPUTime  : 
% 0.29/1.37  
% 0.29/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.29/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.29/1.37  %-----------------------------------------------------
% 0.29/1.37  ncf(matrix, plain, [(3 ^ _86440) ^ [] : [4 ^ _86440 : [(5 ^ _86440) ^ [_86549] : [r1(1 ^ [], _86549), -(p5(_86549)), p6(_86549), 15 ^ _86440 : [(16 ^ _86440) ^ [] : [-(r1(_86549, 14 ^ [_86549]))], (18 ^ _86440) ^ [] : [p6(14 ^ [_86549])]]]], 23 ^ _86440 : [(24 ^ _86440) ^ [_87055] : [r1(1 ^ [], _87055), -(p6(_87055)), p5(_87055), 38 ^ _86440 : [(39 ^ _86440) ^ [] : [-(r1(_87055, 37 ^ [_87055]))], (41 ^ _86440) ^ [] : [p5(37 ^ [_87055])]], p5(_87055)]], 47 ^ _86440 : [(48 ^ _86440) ^ [] : [-(r1(1 ^ [], 46 ^ []))], (51 ^ _86440) ^ [] : [-(r1(46 ^ [], 49 ^ []))], (61 ^ _86440) ^ [] : [p5(49 ^ [])], (53 ^ _86440) ^ [] : [-(p6(49 ^ []))], (55 ^ _86440) ^ [_88029] : [r1(49 ^ [], _88029), -(p6(_88029))], (63 ^ _86440) ^ [] : [p6(46 ^ [])], (65 ^ _86440) ^ [] : [-(p5(46 ^ []))], (73 ^ _86440) ^ [] : [-(p5(46 ^ []))], (67 ^ _86440) ^ [_88362] : [r1(46 ^ [], _88362), -(p5(_88362))]], 77 ^ _86440 : [(78 ^ _86440) ^ [] : [-(r1(1 ^ [], 76 ^ []))], (80 ^ _86440) ^ [] : [-(p6(76 ^ []))], (82 ^ _86440) ^ [_88854] : [r1(76 ^ [], _88854), -(p6(_88854))], (88 ^ _86440) ^ [] : [p5(76 ^ [])], (91 ^ _86440) ^ [] : [-(r1(76 ^ [], 89 ^ []))], (93 ^ _86440) ^ [] : [p6(89 ^ [])], (95 ^ _86440) ^ [] : [-(p5(89 ^ []))], (103 ^ _86440) ^ [] : [-(p5(89 ^ []))], (97 ^ _86440) ^ [_89330] : [r1(89 ^ [], _89330), -(p5(_89330))]], 105 ^ _86440 : [(106 ^ _86440) ^ [] : [-(r1(1 ^ [], 104 ^ []))], (108 ^ _86440) ^ [] : [-(p6(104 ^ []))], (110 ^ _86440) ^ [_89779] : [r1(104 ^ [], _89779), -(p6(_89779))], (116 ^ _86440) ^ [] : [p5(104 ^ [])], (118 ^ _86440) ^ [] : [p6(104 ^ [])], (120 ^ _86440) ^ [] : [-(p5(104 ^ []))], (128 ^ _86440) ^ [] : [-(p5(104 ^ []))], (122 ^ _86440) ^ [_90128] : [r1(104 ^ [], _90128), -(p5(_90128))]]], (130 ^ _86440) ^ [] : [131 ^ _86440 : [(132 ^ _86440) ^ [_90416] : [r1(1 ^ [], _90416), -(p4(_90416)), p5(_90416), 142 ^ _86440 : [(143 ^ _86440) ^ [] : [-(r1(_90416, 141 ^ [_90416]))], (145 ^ _86440) ^ [] : [p5(141 ^ [_90416])]]]], 150 ^ _86440 : [(151 ^ _86440) ^ [_90922] : [r1(1 ^ [], _90922), -(p5(_90922)), p4(_90922), 165 ^ _86440 : [(166 ^ _86440) ^ [] : [-(r1(_90922, 164 ^ [_90922]))], (168 ^ _86440) ^ [] : [p4(164 ^ [_90922])]], p4(_90922)]], 174 ^ _86440 : [(175 ^ _86440) ^ [] : [-(r1(1 ^ [], 173 ^ []))], (178 ^ _86440) ^ [] : [-(r1(173 ^ [], 176 ^ []))], (188 ^ _86440) ^ [] : [p4(176 ^ [])], (180 ^ _86440) ^ [] : [-(p5(176 ^ []))], (182 ^ _86440) ^ [_91896] : [r1(176 ^ [], _91896), -(p5(_91896))], (190 ^ _86440) ^ [] : [p5(173 ^ [])], (192 ^ _86440) ^ [] : [-(p4(173 ^ []))], (200 ^ _86440) ^ [] : [-(p4(173 ^ []))], (194 ^ _86440) ^ [_92229] : [r1(173 ^ [], _92229), -(p4(_92229))]], 204 ^ _86440 : [(205 ^ _86440) ^ [] : [-(r1(1 ^ [], 203 ^ []))], (207 ^ _86440) ^ [] : [-(p5(203 ^ []))], (209 ^ _86440) ^ [_92721] : [r1(203 ^ [], _92721), -(p5(_92721))], (215 ^ _86440) ^ [] : [p4(203 ^ [])], (218 ^ _86440) ^ [] : [-(r1(203 ^ [], 216 ^ []))], (220 ^ _86440) ^ [] : [p5(216 ^ [])], (222 ^ _86440) ^ [] : [-(p4(216 ^ []))], (230 ^ _86440) ^ [] : [-(p4(216 ^ []))], (224 ^ _86440) ^ [_93197] : [r1(216 ^ [], _93197), -(p4(_93197))]], 232 ^ _86440 : [(233 ^ _86440) ^ [] : [-(r1(1 ^ [], 231 ^ []))], (235 ^ _86440) ^ [] : [-(p5(231 ^ []))], (237 ^ _86440) ^ [_93646] : [r1(231 ^ [], _93646), -(p5(_93646))], (243 ^ _86440) ^ [] : [p4(231 ^ [])], (245 ^ _86440) ^ [] : [p5(231 ^ [])], (247 ^ _86440) ^ [] : [-(p4(231 ^ []))], (255 ^ _86440) ^ [] : [-(p4(231 ^ []))], (249 ^ _86440) ^ [_93995] : [r1(231 ^ [], _93995), -(p4(_93995))]]], (257 ^ _86440) ^ [] : [258 ^ _86440 : [(259 ^ _86440) ^ [_94283] : [r1(1 ^ [], _94283), -(p3(_94283)), p4(_94283), 269 ^ _86440 : [(270 ^ _86440) ^ [] : [-(r1(_94283, 268 ^ [_94283]))], (272 ^ _86440) ^ [] : [p4(268 ^ [_94283])]]]], 277 ^ _86440 : [(278 ^ _86440) ^ [_94789] : [r1(1 ^ [], _94789), -(p4(_94789)), p3(_94789), 292 ^ _86440 : [(293 ^ _86440) ^ [] : [-(r1(_94789, 291 ^ [_94789]))], (295 ^ _86440) ^ [] : [p3(291 ^ [_94789])]], p3(_94789)]], 301 ^ _86440 : [(302 ^ _86440) ^ [] : [-(r1(1 ^ [], 300 ^ []))], (305 ^ _86440) ^ [] : [-(r1(300 ^ [], 303 ^ []))], (315 ^ _86440) ^ [] : [p3(303 ^ [])], (307 ^ _86440) ^ [] : [-(p4(303 ^ []))], (309 ^ _86440) ^ [_95763] : [r1(303 ^ [], _95763), -(p4(_95763))], (317 ^ _86440) ^ [] : [p4(300 ^ [])], (319 ^ _86440) ^ [] : [-(p3(300 ^ []))], (327 ^ _86440) ^ [] : [-(p3(300 ^ []))], (321 ^ _86440) ^ [_96096] : [r1(300 ^ [], _96096), -(p3(_96096))]], 331 ^ _86440 : [(332 ^ _86440) ^ [] : [-(r1(1 ^ [], 330 ^ []))], (334 ^ _86440) ^ [] : [-(p4(330 ^ []))], (336 ^ _86440) ^ [_96588] : [r1(330 ^ [], _96588), -(p4(_96588))], (342 ^ _86440) ^ [] : [p3(330 ^ [])], (345 ^ _86440) ^ [] : [-(r1(330 ^ [], 343 ^ []))], (347 ^ _86440) ^ [] : [p4(343 ^ [])], (349 ^ _86440) ^ [] : [-(p3(343 ^ []))], (357 ^ _86440) ^ [] : [-(p3(343 ^ []))], (351 ^ _86440) ^ [_97064] : [r1(343 ^ [], _97064), -(p3(_97064))]], 359 ^ _86440 : [(360 ^ _86440) ^ [] : [-(r1(1 ^ [], 358 ^ []))], (362 ^ _86440) ^ [] : [-(p4(358 ^ []))], (364 ^ _86440) ^ [_97513] : [r1(358 ^ [], _97513), -(p4(_97513))], (370 ^ _86440) ^ [] : [p3(358 ^ [])], (372 ^ _86440) ^ [] : [p4(358 ^ [])], (374 ^ _86440) ^ [] : [-(p3(358 ^ []))], (382 ^ _86440) ^ [] : [-(p3(358 ^ []))], (376 ^ _86440) ^ [_97862] : [r1(358 ^ [], _97862), -(p3(_97862))]]], (384 ^ _86440) ^ [] : [385 ^ _86440 : [(386 ^ _86440) ^ [_98150] : [r1(1 ^ [], _98150), -(p2(_98150)), p3(_98150), 396 ^ _86440 : [(397 ^ _86440) ^ [] : [-(r1(_98150, 395 ^ [_98150]))], (399 ^ _86440) ^ [] : [p3(395 ^ [_98150])]]]], 404 ^ _86440 : [(405 ^ _86440) ^ [_98656] : [r1(1 ^ [], _98656), -(p3(_98656)), p2(_98656), 419 ^ _86440 : [(420 ^ _86440) ^ [] : [-(r1(_98656, 418 ^ [_98656]))], (422 ^ _86440) ^ [] : [p2(418 ^ [_98656])]], p2(_98656)]], 428 ^ _86440 : [(429 ^ _86440) ^ [] : [-(r1(1 ^ [], 427 ^ []))], (432 ^ _86440) ^ [] : [-(r1(427 ^ [], 430 ^ []))], (442 ^ _86440) ^ [] : [p2(430 ^ [])], (434 ^ _86440) ^ [] : [-(p3(430 ^ []))], (436 ^ _86440) ^ [_99630] : [r1(430 ^ [], _99630), -(p3(_99630))], (444 ^ _86440) ^ [] : [p3(427 ^ [])], (446 ^ _86440) ^ [] : [-(p2(427 ^ []))], (454 ^ _86440) ^ [] : [-(p2(427 ^ []))], (448 ^ _86440) ^ [_99963] : [r1(427 ^ [], _99963), -(p2(_99963))]], 458 ^ _86440 : [(459 ^ _86440) ^ [] : [-(r1(1 ^ [], 457 ^ []))], (461 ^ _86440) ^ [] : [-(p3(457 ^ []))], (463 ^ _86440) ^ [_100455] : [r1(457 ^ [], _100455), -(p3(_100455))], (469 ^ _86440) ^ [] : [p2(457 ^ [])], (472 ^ _86440) ^ [] : [-(r1(457 ^ [], 470 ^ []))], (474 ^ _86440) ^ [] : [p3(470 ^ [])], (476 ^ _86440) ^ [] : [-(p2(470 ^ []))], (484 ^ _86440) ^ [] : [-(p2(470 ^ []))], (478 ^ _86440) ^ [_100931] : [r1(470 ^ [], _100931), -(p2(_100931))]], 486 ^ _86440 : [(487 ^ _86440) ^ [] : [-(r1(1 ^ [], 485 ^ []))], (489 ^ _86440) ^ [] : [-(p3(485 ^ []))], (491 ^ _86440) ^ [_101380] : [r1(485 ^ [], _101380), -(p3(_101380))], (497 ^ _86440) ^ [] : [p2(485 ^ [])], (499 ^ _86440) ^ [] : [p3(485 ^ [])], (501 ^ _86440) ^ [] : [-(p2(485 ^ []))], (509 ^ _86440) ^ [] : [-(p2(485 ^ []))], (503 ^ _86440) ^ [_101729] : [r1(485 ^ [], _101729), -(p2(_101729))]]], (512 ^ _86440) ^ [] : [-(r1(1 ^ [], 510 ^ []))], (514 ^ _86440) ^ [] : [p5(510 ^ [])], (522 ^ _86440) ^ [] : [-(p5(510 ^ []))], (516 ^ _86440) ^ [_102181] : [r1(510 ^ [], _102181), -(p5(_102181))], (525 ^ _86440) ^ [] : [-(r1(1 ^ [], 523 ^ []))], (527 ^ _86440) ^ [] : [p5(523 ^ [])], (535 ^ _86440) ^ [] : [-(p5(523 ^ []))], (529 ^ _86440) ^ [_102604] : [r1(523 ^ [], _102604), -(p5(_102604))], (537 ^ _86440) ^ [] : [538 ^ _86440 : [(539 ^ _86440) ^ [_102843] : [r1(1 ^ [], _102843), -(p1(_102843)), p2(_102843), 549 ^ _86440 : [(550 ^ _86440) ^ [] : [-(r1(_102843, 548 ^ [_102843]))], (552 ^ _86440) ^ [] : [p2(548 ^ [_102843])]]]], 557 ^ _86440 : [(558 ^ _86440) ^ [_103349] : [r1(1 ^ [], _103349), -(p2(_103349)), p1(_103349), 572 ^ _86440 : [(573 ^ _86440) ^ [] : [-(r1(_103349, 571 ^ [_103349]))], (575 ^ _86440) ^ [] : [p1(571 ^ [_103349])]], p1(_103349)]], 581 ^ _86440 : [(582 ^ _86440) ^ [] : [-(r1(1 ^ [], 580 ^ []))], (585 ^ _86440) ^ [] : [-(r1(580 ^ [], 583 ^ []))], (595 ^ _86440) ^ [] : [p1(583 ^ [])], (587 ^ _86440) ^ [] : [-(p2(583 ^ []))], (589 ^ _86440) ^ [_104323] : [r1(583 ^ [], _104323), -(p2(_104323))], (597 ^ _86440) ^ [] : [p2(580 ^ [])], (599 ^ _86440) ^ [] : [-(p1(580 ^ []))], (607 ^ _86440) ^ [] : [-(p1(580 ^ []))], (601 ^ _86440) ^ [_104656] : [r1(580 ^ [], _104656), -(p1(_104656))]], 611 ^ _86440 : [(612 ^ _86440) ^ [] : [-(r1(1 ^ [], 610 ^ []))], (614 ^ _86440) ^ [] : [-(p2(610 ^ []))], (616 ^ _86440) ^ [_105148] : [r1(610 ^ [], _105148), -(p2(_105148))], (622 ^ _86440) ^ [] : [p1(610 ^ [])], (625 ^ _86440) ^ [] : [-(r1(610 ^ [], 623 ^ []))], (627 ^ _86440) ^ [] : [p2(623 ^ [])], (629 ^ _86440) ^ [] : [-(p1(623 ^ []))], (637 ^ _86440) ^ [] : [-(p1(623 ^ []))], (631 ^ _86440) ^ [_105624] : [r1(623 ^ [], _105624), -(p1(_105624))]], 639 ^ _86440 : [(640 ^ _86440) ^ [] : [-(r1(1 ^ [], 638 ^ []))], (642 ^ _86440) ^ [] : [-(p2(638 ^ []))], (644 ^ _86440) ^ [_106073] : [r1(638 ^ [], _106073), -(p2(_106073))], (650 ^ _86440) ^ [] : [p1(638 ^ [])], (652 ^ _86440) ^ [] : [p2(638 ^ [])], (654 ^ _86440) ^ [] : [-(p1(638 ^ []))], (662 ^ _86440) ^ [] : [-(p1(638 ^ []))], (656 ^ _86440) ^ [_106422] : [r1(638 ^ [], _106422), -(p1(_106422))]]]], input).
% 0.29/1.37  ncf('1',plain,[p5(510 ^ [])],start(514 ^ 0)).
% 0.29/1.37  ncf('1.1',plain,[-(p5(510 ^ []))],extension(522 ^ 1)).
% 0.29/1.37  %-----------------------------------------------------
% 0.29/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------