%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:28:43 EDT 2023

% Result   : Theorem 0.40s 1.40s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LAT300+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n009.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 14:12:18 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.40/1.40  
% 0.40/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.40/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40  %-----------------------------------------------------
% 0.40/1.40  ncf(matrix, plain, [(678 ^ _88765) ^ [] : [v3_struct_0(676 ^ [])], (680 ^ _88765) ^ [] : [-(v10_lattices(676 ^ []))], (682 ^ _88765) ^ [] : [-(l3_lattices(676 ^ []))], (685 ^ _88765) ^ [] : [-(m2_filter_2(683 ^ [], 676 ^ []))], (687 ^ _88765) ^ [_109716] : [m1_subset_1(_109716, u1_struct_0(676 ^ [])), r2_hidden(_109716, 683 ^ [])], (248 ^ _88765) ^ [_96560, _96562] : [_96562 = _96560, -(k1_zfmisc_1(_96562) = k1_zfmisc_1(_96560))], (254 ^ _88765) ^ [_96758, _96760] : [_96760 = _96758, -(u1_struct_0(_96760) = u1_struct_0(_96758))], (2 ^ _88765) ^ [_88909] : [-(_88909 = _88909)], (4 ^ _88765) ^ [_89016, _89018] : [_89018 = _89016, -(_89016 = _89018)], (10 ^ _88765) ^ [_89220, _89222, _89224] : [-(_89224 = _89220), _89224 = _89222, _89222 = _89220], (20 ^ _88765) ^ [_89533, _89535] : [-(v1_funct_1(_89533)), _89535 = _89533, v1_funct_1(_89535)], (30 ^ _88765) ^ [_89828, _89830] : [-(v4_lattices(_89828)), _89830 = _89828, v4_lattices(_89830)], (40 ^ _88765) ^ [_90123, _90125] : [-(v5_lattices(_90123)), _90125 = _90123, v5_lattices(_90125)], (50 ^ _88765) ^ [_90418, _90420] : [-(v6_lattices(_90418)), _90420 = _90418, v6_lattices(_90420)], (60 ^ _88765) ^ [_90713, _90715] : [-(v7_lattices(_90713)), _90715 = _90713, v7_lattices(_90715)], (70 ^ _88765) ^ [_91008, _91010] : [-(v8_lattices(_91008)), _91010 = _91008, v8_lattices(_91010)], (80 ^ _88765) ^ [_91303, _91305] : [-(v9_lattices(_91303)), _91305 = _91303, v9_lattices(_91305)], (90 ^ _88765) ^ [_91598, _91600] : [-(l1_lattices(_91598)), _91600 = _91598, l1_lattices(_91600)], (100 ^ _88765) ^ [_91893, _91895] : [-(l2_lattices(_91893)), _91895 = _91893, l2_lattices(_91895)], (110 ^ _88765) ^ [_92216, _92218, _92220, _92222] : [-(m2_lattice4(_92220, _92216)), m2_lattice4(_92222, _92218), _92222 = _92220, _92218 = _92216], (124 ^ _88765) ^ [_92632, _92634] : [-(l1_struct_0(_92632)), _92634 = _92632, l1_struct_0(_92634)], (134 ^ _88765) ^ [_92983, _92985, _92987, _92989, _92991, _92993] : [-(m1_struct_0(_92991, _92987, _92983)), m1_struct_0(_92993, _92989, _92985), _92993 = _92991, _92989 = _92987, _92985 = _92983], (152 ^ _88765) ^ [_93564, _93566, _93568, _93570] : [-(r1_tarski(_93568, _93564)), r1_tarski(_93570, _93566), _93570 = _93568, _93566 = _93564], (166 ^ _88765) ^ [_93980, _93982] : [-(v1_xboole_0(_93980)), _93982 = _93980, v1_xboole_0(_93982)], (176 ^ _88765) ^ [_94275, _94277] : [-(v3_struct_0(_94275)), _94277 = _94275, v3_struct_0(_94277)], (186 ^ _88765) ^ [_94570, _94572] : [-(v10_lattices(_94570)), _94572 = _94570, v10_lattices(_94572)], (196 ^ _88765) ^ [_94865, _94867] : [-(l3_lattices(_94865)), _94867 = _94865, l3_lattices(_94867)], (206 ^ _88765) ^ [_95188, _95190, _95192, _95194] : [-(m2_filter_2(_95192, _95188)), m2_filter_2(_95194, _95190), _95194 = _95192, _95190 = _95188], (220 ^ _88765) ^ [_95632, _95634, _95636, _95638] : [-(m1_subset_1(_95636, _95632)), m1_subset_1(_95638, _95634), _95638 = _95636, _95634 = _95632], (234 ^ _88765) ^ [_96056, _96058, _96060, _96062] : [-(r2_hidden(_96060, _96056)), r2_hidden(_96062, _96058), _96062 = _96060, _96058 = _96056], (260 ^ _88765) ^ [_96986, _96988] : [r2_hidden(_96988, _96986), r2_hidden(_96986, _96988)], (266 ^ _88765) ^ [_97183] : [v1_xboole_0(_97183), -(v1_funct_1(_97183))], (272 ^ _88765) ^ [_97369] : [l3_lattices(_97369), 283 ^ _88765 : [(284 ^ _88765) ^ [] : [v3_struct_0(_97369)], (286 ^ _88765) ^ [] : [-(v4_lattices(_97369))], (288 ^ _88765) ^ [] : [-(v5_lattices(_97369))], (290 ^ _88765) ^ [] : [-(v6_lattices(_97369))], (292 ^ _88765) ^ [] : [-(v7_lattices(_97369))], (294 ^ _88765) ^ [] : [-(v8_lattices(_97369))], (296 ^ _88765) ^ [] : [-(v9_lattices(_97369))]], -(v3_struct_0(_97369)), v10_lattices(_97369)], (298 ^ _88765) ^ [_98146] : [l3_lattices(_98146), 329 ^ _88765 : [(330 ^ _88765) ^ [] : [v3_struct_0(_98146)], (332 ^ _88765) ^ [] : [-(v10_lattices(_98146))]], -(v3_struct_0(_98146)), v4_lattices(_98146), v5_lattices(_98146), v6_lattices(_98146), v7_lattices(_98146), v8_lattices(_98146), v9_lattices(_98146)], (334 ^ _88765) ^ [] : [true___, -(true___)], (340 ^ _88765) ^ [] : [true___, -(true___)], (346 ^ _88765) ^ [_99226] : [l1_lattices(_99226), -(l1_struct_0(_99226))], (352 ^ _88765) ^ [] : [true___, -(true___)], (358 ^ _88765) ^ [_99531] : [l2_lattices(_99531), -(l1_struct_0(_99531))], (364 ^ _88765) ^ [_99717] : [l3_lattices(_99717), 367 ^ _88765 : [(368 ^ _88765) ^ [] : [-(l1_lattices(_99717))], (370 ^ _88765) ^ [] : [-(l2_lattices(_99717))]]], (372 ^ _88765) ^ [_99988, _99990] : [387 ^ _88765 : [(388 ^ _88765) ^ [_100403] : [m1_struct_0(_100403, _99990, _99988), -(m1_subset_1(_100403, u1_struct_0(_99990)))]], -(v3_struct_0(_99990)), l1_struct_0(_99990), -(v1_xboole_0(_99988)), m1_subset_1(_99988, k1_zfmisc_1(u1_struct_0(_99990)))], (394 ^ _88765) ^ [] : [true___, -(true___)], (400 ^ _88765) ^ [_100739] : [411 ^ _88765 : [(412 ^ _88765) ^ [_101046] : [m2_filter_2(_101046, _100739), 415 ^ _88765 : [(416 ^ _88765) ^ [] : [v1_xboole_0(_101046)], (418 ^ _88765) ^ [] : [-(m2_lattice4(_101046, _100739))]]]], -(v3_struct_0(_100739)), v10_lattices(_100739), l3_lattices(_100739)], (420 ^ _88765) ^ [_101323] : [431 ^ _88765 : [(432 ^ _88765) ^ [_101627] : [m2_lattice4(_101627, _101323), -(m1_subset_1(_101627, k1_zfmisc_1(u1_struct_0(_101323))))]], -(v3_struct_0(_101323)), v10_lattices(_101323), l3_lattices(_101323)], (438 ^ _88765) ^ [] : [true___, -(true___)], (445 ^ _88765) ^ [] : [-(l1_lattices(443 ^ []))], (448 ^ _88765) ^ [] : [-(l1_struct_0(446 ^ []))], (451 ^ _88765) ^ [] : [-(l2_lattices(449 ^ []))], (454 ^ _88765) ^ [] : [-(l3_lattices(452 ^ []))], (456 ^ _88765) ^ [_102327, _102329] : [-(m1_struct_0(471 ^ [_102327, _102329], _102329, _102327)), -(v3_struct_0(_102329)), l1_struct_0(_102329), -(v1_xboole_0(_102327)), m1_subset_1(_102327, k1_zfmisc_1(u1_struct_0(_102329)))], (476 ^ _88765) ^ [_102882] : [-(m1_subset_1(474 ^ [_102882], _102882))], (478 ^ _88765) ^ [_102980] : [-(m2_filter_2(489 ^ [_102980], _102980)), -(v3_struct_0(_102980)), v10_lattices(_102980), l3_lattices(_102980)], (493 ^ _88765) ^ [_103388] : [-(m2_lattice4(504 ^ [_103388], _103388)), -(v3_struct_0(_103388)), v10_lattices(_103388), l3_lattices(_103388)], (508 ^ _88765) ^ [_103796] : [v1_xboole_0(u1_struct_0(_103796)), -(v3_struct_0(_103796)), l1_struct_0(_103796)], (518 ^ _88765) ^ [_104057] : [v1_xboole_0(k1_zfmisc_1(_104057))], (520 ^ _88765) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (522 ^ _88765) ^ [_104204] : [534 ^ _88765 : [(535 ^ _88765) ^ [] : [-(m2_lattice4(533 ^ [_104204], _104204))], (537 ^ _88765) ^ [] : [v1_xboole_0(533 ^ [_104204])]], -(v3_struct_0(_104204)), v10_lattices(_104204), l3_lattices(_104204)], (539 ^ _88765) ^ [_104696] : [-(v1_xboole_0(_104696)), 543 ^ _88765 : [(544 ^ _88765) ^ [] : [-(m1_subset_1(542 ^ [_104696], k1_zfmisc_1(_104696)))], (546 ^ _88765) ^ [] : [v1_xboole_0(542 ^ [_104696])]]], (549 ^ _88765) ^ [] : [-(v1_xboole_0(547 ^ []))], (552 ^ _88765) ^ [_105168] : [-(m1_subset_1(550 ^ [_105168], k1_zfmisc_1(_105168)))], (554 ^ _88765) ^ [_105219] : [-(v1_xboole_0(550 ^ [_105219]))], (557 ^ _88765) ^ [] : [v1_xboole_0(555 ^ [])], (560 ^ _88765) ^ [] : [-(l1_struct_0(558 ^ []))], (562 ^ _88765) ^ [] : [v3_struct_0(558 ^ [])], (564 ^ _88765) ^ [_105558] : [572 ^ _88765 : [(573 ^ _88765) ^ [] : [-(m1_subset_1(571 ^ [_105558], k1_zfmisc_1(u1_struct_0(_105558))))], (575 ^ _88765) ^ [] : [v1_xboole_0(571 ^ [_105558])]], -(v3_struct_0(_105558)), l1_struct_0(_105558)], (577 ^ _88765) ^ [_105993, _105995] : [-(v3_struct_0(_105995)), l1_struct_0(_105995), -(v1_xboole_0(_105993)), m1_subset_1(_105993, k1_zfmisc_1(u1_struct_0(_105995))), 592 ^ _88765 : [(593 ^ _88765) ^ [_106435] : [m1_struct_0(_106435, _105995, _105993), -(m1_subset_1(_106435, _105993))], (599 ^ _88765) ^ [_106609] : [m1_subset_1(_106609, _105993), -(m1_struct_0(_106609, _105995, _105993))]]], (605 ^ _88765) ^ [_106829, _106831] : [-(r1_tarski(_106831, _106831))], (607 ^ _88765) ^ [_106938, _106940] : [r2_hidden(_106940, _106938), -(m1_subset_1(_106940, _106938))], (613 ^ _88765) ^ [_107148, _107150] : [m1_subset_1(_107150, _107148), -(v1_xboole_0(_107148)), -(r2_hidden(_107150, _107148))], (623 ^ _88765) ^ [_107475, _107477] : [m1_subset_1(_107477, k1_zfmisc_1(_107475)), -(r1_tarski(_107477, _107475))], (629 ^ _88765) ^ [_107641, _107643] : [r1_tarski(_107643, _107641), -(m1_subset_1(_107643, k1_zfmisc_1(_107641)))], (635 ^ _88765) ^ [_107871, _107873, _107875] : [-(m1_subset_1(_107875, _107871)), r2_hidden(_107875, _107873), m1_subset_1(_107873, k1_zfmisc_1(_107871))], (645 ^ _88765) ^ [_108198, _108200, _108202] : [r2_hidden(_108202, _108200), m1_subset_1(_108200, k1_zfmisc_1(_108198)), v1_xboole_0(_108198)], (655 ^ _88765) ^ [_108494] : [v1_xboole_0(_108494), -(_108494 = k1_xboole_0)], (661 ^ _88765) ^ [_108696, _108698] : [r2_hidden(_108698, _108696), v1_xboole_0(_108696)], (667 ^ _88765) ^ [_108883, _108885] : [v1_xboole_0(_108885), -(_108885 = _108883), v1_xboole_0(_108883)]], input).
% 0.40/1.40  ncf('1',plain,[r2_hidden(474 ^ [683 ^ []], 683 ^ []), v1_xboole_0(683 ^ [])],start(661 ^ 0,bind([[_108696, _108698], [683 ^ [], 474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.1',plain,[-(r2_hidden(474 ^ [683 ^ []], 683 ^ [])), r2_hidden(474 ^ [683 ^ []], 683 ^ []), 474 ^ [683 ^ []] = 474 ^ [683 ^ []], 683 ^ [] = 683 ^ []],extension(234 ^ 1,bind([[_96056, _96058, _96060, _96062], [683 ^ [], 683 ^ [], 474 ^ [683 ^ []], 474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.1.1',plain,[-(r2_hidden(474 ^ [683 ^ []], 683 ^ [])), m1_subset_1(474 ^ [683 ^ []], 683 ^ []), -(v1_xboole_0(683 ^ []))],extension(613 ^ 2,bind([[_107148, _107150], [683 ^ [], 474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.1.1.1',plain,[-(m1_subset_1(474 ^ [683 ^ []], 683 ^ []))],extension(476 ^ 3,bind([[_102882], [683 ^ []]]))).
% 0.40/1.40  ncf('1.1.1.2',plain,[v1_xboole_0(683 ^ []), 412 : m2_filter_2(683 ^ [], 676 ^ []), 412 : -(v3_struct_0(676 ^ [])), 412 : v10_lattices(676 ^ []), 412 : l3_lattices(676 ^ [])],extension(400 ^ 3,bind([[_100739, _101046], [676 ^ [], 683 ^ []]]))).
% 0.40/1.40  ncf('1.1.1.2.1',plain,[-(m2_filter_2(683 ^ [], 676 ^ []))],extension(685 ^ 6)).
% 0.40/1.40  ncf('1.1.1.2.2',plain,[v3_struct_0(676 ^ [])],extension(678 ^ 4)).
% 0.40/1.40  ncf('1.1.1.2.3',plain,[-(v10_lattices(676 ^ []))],extension(680 ^ 4)).
% 0.40/1.40  ncf('1.1.1.2.4',plain,[-(l3_lattices(676 ^ []))],extension(682 ^ 4)).
% 0.40/1.40  ncf('1.1.2',plain,[-(474 ^ [683 ^ []] = 474 ^ [683 ^ []])],extension(2 ^ 2,bind([[_88909], [474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.1.3',plain,[-(683 ^ [] = 683 ^ [])],extension(2 ^ 2,bind([[_88909], [683 ^ []]]))).
% 0.40/1.40  ncf('1.2',plain,[-(v1_xboole_0(683 ^ [])), -(v3_struct_0(676 ^ [])), l1_struct_0(676 ^ []), m1_subset_1(683 ^ [], k1_zfmisc_1(u1_struct_0(676 ^ []))), 599 : m1_subset_1(474 ^ [683 ^ []], 683 ^ []), 599 : -(m1_struct_0(474 ^ [683 ^ []], 676 ^ [], 683 ^ []))],extension(577 ^ 1,bind([[_105993, _105995, _106609], [683 ^ [], 676 ^ [], 474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.2.1',plain,[v3_struct_0(676 ^ [])],extension(678 ^ 2)).
% 0.40/1.40  ncf('1.2.2',plain,[-(l1_struct_0(676 ^ [])), l1_lattices(676 ^ [])],extension(346 ^ 2,bind([[_99226], [676 ^ []]]))).
% 0.40/1.40  ncf('1.2.2.1',plain,[-(l1_lattices(676 ^ [])), l3_lattices(676 ^ [])],extension(364 ^ 3,bind([[_99717], [676 ^ []]]))).
% 0.40/1.40  ncf('1.2.2.1.1',plain,[-(l3_lattices(676 ^ []))],extension(682 ^ 4)).
% 0.40/1.40  ncf('1.2.3',plain,[-(m1_subset_1(683 ^ [], k1_zfmisc_1(u1_struct_0(676 ^ [])))), 432 : m2_lattice4(683 ^ [], 676 ^ []), 432 : -(v3_struct_0(676 ^ [])), 432 : v10_lattices(676 ^ []), 432 : l3_lattices(676 ^ [])],extension(420 ^ 2,bind([[_101323, _101627], [676 ^ [], 683 ^ []]]))).
% 0.40/1.40  ncf('1.2.3.1',plain,[-(m2_lattice4(683 ^ [], 676 ^ [])), 412 : m2_filter_2(683 ^ [], 676 ^ []), 412 : -(v3_struct_0(676 ^ [])), 412 : v10_lattices(676 ^ []), 412 : l3_lattices(676 ^ [])],extension(400 ^ 5,bind([[_100739, _101046], [676 ^ [], 683 ^ []]]))).
% 0.40/1.40  ncf('1.2.3.1.1',plain,[-(m2_filter_2(683 ^ [], 676 ^ []))],extension(685 ^ 8)).
% 0.40/1.40  ncf('1.2.3.1.2',plain,[v3_struct_0(676 ^ [])],lemmata('[1].x')).
% 0.40/1.40  ncf('1.2.3.1.3',plain,[-(v10_lattices(676 ^ []))],extension(680 ^ 6)).
% 0.40/1.40  ncf('1.2.3.1.4',plain,[-(l3_lattices(676 ^ []))],extension(682 ^ 6)).
% 0.40/1.40  ncf('1.2.3.2',plain,[v3_struct_0(676 ^ [])],lemmata('[1].x')).
% 0.40/1.40  ncf('1.2.3.3',plain,[-(v10_lattices(676 ^ []))],extension(680 ^ 3)).
% 0.40/1.40  ncf('1.2.3.4',plain,[-(l3_lattices(676 ^ []))],extension(682 ^ 3)).
% 0.40/1.40  ncf('1.2.4',plain,[-(m1_subset_1(474 ^ [683 ^ []], 683 ^ [])), m1_subset_1(474 ^ [683 ^ []], 683 ^ []), 474 ^ [683 ^ []] = 474 ^ [683 ^ []], 683 ^ [] = 683 ^ []],extension(220 ^ 4,bind([[_95632, _95634, _95636, _95638], [683 ^ [], 683 ^ [], 474 ^ [683 ^ []], 474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.2.4.1',plain,[-(m1_subset_1(474 ^ [683 ^ []], 683 ^ []))],extension(476 ^ 5,bind([[_102882], [683 ^ []]]))).
% 0.40/1.40  ncf('1.2.4.2',plain,[-(474 ^ [683 ^ []] = 474 ^ [683 ^ []])],extension(2 ^ 5,bind([[_88909], [474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.2.4.3',plain,[-(683 ^ [] = 683 ^ [])],extension(2 ^ 5,bind([[_88909], [683 ^ []]]))).
% 0.40/1.40  ncf('1.2.5',plain,[m1_struct_0(474 ^ [683 ^ []], 676 ^ [], 683 ^ []), 388 : -(m1_subset_1(474 ^ [683 ^ []], u1_struct_0(676 ^ []))), 388 : -(v3_struct_0(676 ^ [])), 388 : l1_struct_0(676 ^ []), 388 : -(v1_xboole_0(683 ^ [])), 388 : m1_subset_1(683 ^ [], k1_zfmisc_1(u1_struct_0(676 ^ [])))],extension(372 ^ 4,bind([[_99988, _99990, _100403], [683 ^ [], 676 ^ [], 474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.2.5.1',plain,[m1_subset_1(474 ^ [683 ^ []], u1_struct_0(676 ^ [])), r2_hidden(474 ^ [683 ^ []], 683 ^ [])],extension(687 ^ 7,bind([[_109716], [474 ^ [683 ^ []]]]))).
% 0.40/1.40  ncf('1.2.5.1.1',plain,[-(r2_hidden(474 ^ [683 ^ []], 683 ^ []))],lemmata('x')).
% 0.40/1.40  ncf('1.2.5.2',plain,[v3_struct_0(676 ^ [])],lemmata('[1].x')).
% 0.40/1.40  ncf('1.2.5.3',plain,[-(l1_struct_0(676 ^ []))],lemmata('[1].x')).
% 0.40/1.40  ncf('1.2.5.4',plain,[v1_xboole_0(683 ^ [])],reduction('1')).
% 0.40/1.40  ncf('1.2.5.5',plain,[-(m1_subset_1(683 ^ [], k1_zfmisc_1(u1_struct_0(676 ^ []))))],lemmata('[1].x')).
% 0.40/1.40  %-----------------------------------------------------
% 0.40/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------