%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n008.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 11:28:46 EDT 2023

% Result   : Theorem 210.29s 203.23s
% Output   : Proof 210.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT313+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 14:03:09 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 210.29/203.23  
% 210.29/203.23  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 210.29/203.23  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 210.29/203.23  %-----------------------------------------------------
% 210.29/203.23  ncf(matrix, plain, [(816 ^ _145685) ^ [] : [-(v14_lattices(805 ^ []))], (809 ^ _145685) ^ [] : [-(v10_lattices(805 ^ []))], (807 ^ _145685) ^ [] : [v3_struct_0(805 ^ [])], (811 ^ _145685) ^ [] : [-(l3_lattices(805 ^ []))], (818 ^ _145685) ^ [] : [-(r2_hidden(k6_lattices(805 ^ []), 812 ^ []))], (820 ^ _145685) ^ [] : [r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], k17_filter_2(805 ^ [])), 812 ^ [] = u1_struct_0(805 ^ [])], (814 ^ _145685) ^ [] : [-(m2_filter_2(812 ^ [], 805 ^ []))], !, (4 ^ _121254) ^ [_121485, _121487] : [_121487 = _121485, -(_121485 = _121487)], (304 ^ _121254) ^ [_130946] : [l3_lattices(_130946), 315 ^ _121254 : [(324 ^ _121254) ^ [] : [-(v7_lattices(_130946))], (318 ^ _121254) ^ [] : [-(v4_lattices(_130946))], (316 ^ _121254) ^ [] : [v3_struct_0(_130946)], (320 ^ _121254) ^ [] : [-(v5_lattices(_130946))], (326 ^ _121254) ^ [] : [-(v8_lattices(_130946))], (328 ^ _121254) ^ [] : [-(v9_lattices(_130946))], (322 ^ _121254) ^ [] : [-(v6_lattices(_130946))]], -(v3_struct_0(_130946)), v10_lattices(_130946)], (668 ^ _121254) ^ [_141192, _141194, _141196] : [r1_filter_2(_141196, _141194, _141192), -(r1_filter_2(_141196, _141192, _141194)), -(v1_xboole_0(_141196)), m1_subset_1(_141194, k1_zfmisc_1(_141196)), m1_subset_1(_141192, k1_zfmisc_1(_141196))], (60 ^ _121254) ^ [_123182, _123184] : [-(v7_lattices(_123182)), _123184 = _123182, v7_lattices(_123184)], (666 ^ _121254) ^ [_141069, _141071] : [-(r1_tarski(_141071, _141071))], (70 ^ _121254) ^ [_123477, _123479] : [-(v8_lattices(_123477)), _123479 = _123477, v8_lattices(_123479)], (720 ^ _121254) ^ [_142760, _142762] : [m1_subset_1(_142762, k1_zfmisc_1(_142760)), -(r1_tarski(_142762, _142760))], (258 ^ _121254) ^ [_129358, _129360, _129362, _129364] : [-(k19_filter_2(_129364, _129360) = k19_filter_2(_129362, _129358)), _129364 = _129362, _129360 = _129358], (286 ^ _121254) ^ [_130323, _130325] : [_130325 = _130323, -(u1_struct_0(_130325) = u1_struct_0(_130323))], (521 ^ _121254) ^ [] : [-(l2_lattices(519 ^ []))], (422 ^ _121254) ^ [] : [true___, -(true___)], (366 ^ _121254) ^ [_132565] : [-(k17_filter_2(_132565) = u1_struct_0(_132565)), -(v3_struct_0(_132565)), v10_lattices(_132565), l3_lattices(_132565)], (216 ^ _121254) ^ [_127908, _127910] : [-(v14_lattices(_127908)), _127910 = _127908, v14_lattices(_127910)], (603 ^ _121254) ^ [_139140] : [-(m1_subset_1(601 ^ [_139140], k1_zfmisc_1(_139140)))], (380 ^ _121254) ^ [_132930] : [-(m2_filter_2(k17_filter_2(_132930), _132930)), -(v3_struct_0(_132930)), v10_lattices(_132930), l3_lattices(_132930)], (172 ^ _121254) ^ [_126579, _126581] : [-(v3_struct_0(_126579)), _126581 = _126579, v3_struct_0(_126581)], (394 ^ _121254) ^ [_133305, _133307] : [-(m2_filter_2(k19_filter_2(_133307, _133305), _133307)), -(v3_struct_0(_133307)), v10_lattices(_133307), l3_lattices(_133307), -(v1_xboole_0(_133305)), m1_subset_1(_133305, k1_zfmisc_1(u1_struct_0(_133307)))], (280 ^ _121254) ^ [_130125, _130127] : [_130127 = _130125, -(k17_filter_2(_130127) = k17_filter_2(_130125))], (692 ^ _121254) ^ [_141912, _141914] : [m1_subset_1(_141914, _141912), -(v1_xboole_0(_141912)), -(r2_hidden(_141914, _141912))], (470 ^ _121254) ^ [_135256] : [481 ^ _121254 : [(482 ^ _121254) ^ [_135563] : [m2_filter_2(_135563, _135256), 485 ^ _121254 : [(488 ^ _121254) ^ [] : [-(m2_lattice4(_135563, _135256))], (486 ^ _121254) ^ [] : [v1_xboole_0(_135563)]]]], -(v3_struct_0(_135256)), v10_lattices(_135256), l3_lattices(_135256)], (515 ^ _121254) ^ [] : [-(l1_lattices(513 ^ []))], (702 ^ _121254) ^ [_142196] : [713 ^ _121254 : [(714 ^ _121254) ^ [_142502] : [m2_filter_2(_142502, _142196), -(r1_filter_2(u1_struct_0(_142196), k19_filter_2(_142196, _142502), _142502))]], -(v3_struct_0(_142196)), v10_lattices(_142196), l3_lattices(_142196)], (613 ^ _121254) ^ [] : [v3_struct_0(609 ^ [])], (600 ^ _121254) ^ [] : [-(v1_xboole_0(598 ^ []))], (774 ^ _121254) ^ [_144414, _144416, _144418] : [r2_hidden(_144418, _144416), m1_subset_1(_144416, k1_zfmisc_1(_144414)), v1_xboole_0(_144414)], (615 ^ _121254) ^ [_139530] : [623 ^ _121254 : [(626 ^ _121254) ^ [] : [v1_xboole_0(622 ^ [_139530])], (624 ^ _121254) ^ [] : [-(m1_subset_1(622 ^ [_139530], k1_zfmisc_1(u1_struct_0(_139530))))]], -(v3_struct_0(_139530)), l1_struct_0(_139530)], (298 ^ _121254) ^ [_130760] : [v1_xboole_0(_130760), -(v1_funct_1(_130760))], (450 ^ _121254) ^ [_134694] : [l2_lattices(_134694), -(l1_struct_0(_134694))], (192 ^ _121254) ^ [_127169, _127171] : [-(l3_lattices(_127169)), _127171 = _127169, l3_lattices(_127171)], (110 ^ _121254) ^ [_124685, _124687, _124689, _124691] : [-(m2_lattice4(_124689, _124685)), m2_lattice4(_124691, _124687), _124691 = _124689, _124687 = _124685], (518 ^ _121254) ^ [] : [-(l1_struct_0(516 ^ []))], (764 ^ _121254) ^ [_144087, _144089, _144091] : [-(m1_subset_1(_144091, _144087)), r2_hidden(_144091, _144089), m1_subset_1(_144089, k1_zfmisc_1(_144087))], (726 ^ _121254) ^ [_142926, _142928] : [r1_tarski(_142928, _142926), -(m1_subset_1(_142928, k1_zfmisc_1(_142926)))], (605 ^ _121254) ^ [_139191] : [-(v1_xboole_0(601 ^ [_139191]))], (559 ^ _121254) ^ [_137768] : [v1_xboole_0(u1_struct_0(_137768)), -(v3_struct_0(_137768)), l1_struct_0(_137768)], (628 ^ _121254) ^ [_139979, _139981, _139983] : [-(v1_xboole_0(_139983)), m1_subset_1(_139981, k1_zfmisc_1(_139983)), m1_subset_1(_139979, k1_zfmisc_1(_139983)), 639 ^ _121254 : [(646 ^ _121254) ^ [] : [_139981 = _139979, -(r1_filter_2(_139983, _139981, _139979))], (640 ^ _121254) ^ [] : [r1_filter_2(_139983, _139981, _139979), -(_139981 = _139979)]]], (652 ^ _121254) ^ [_140671, _140673, _140675] : [-(r1_filter_2(_140675, _140673, _140673)), -(v1_xboole_0(_140675)), m1_subset_1(_140673, k1_zfmisc_1(_140675)), m1_subset_1(_140671, k1_zfmisc_1(_140675))], (428 ^ _121254) ^ [_134107] : [-(m1_subset_1(k6_lattices(_134107), u1_struct_0(_134107))), -(v3_struct_0(_134107)), l2_lattices(_134107)], (162 ^ _121254) ^ [_126284, _126286] : [-(v1_xboole_0(_126284)), _126286 = _126284, v1_xboole_0(_126286)], (590 ^ _121254) ^ [_138668] : [-(v1_xboole_0(_138668)), 594 ^ _121254 : [(597 ^ _121254) ^ [] : [v1_xboole_0(593 ^ [_138668])], (595 ^ _121254) ^ [] : [-(m1_subset_1(593 ^ [_138668], k1_zfmisc_1(_138668)))]]], (784 ^ _121254) ^ [_144710] : [v1_xboole_0(_144710), -(_144710 = k1_xboole_0)], (438 ^ _121254) ^ [_134389] : [l1_lattices(_134389), -(l1_struct_0(_134389))], (202 ^ _121254) ^ [_127492, _127494, _127496, _127498] : [-(m2_filter_2(_127496, _127492)), m2_filter_2(_127498, _127494), _127498 = _127496, _127494 = _127492], (508 ^ _121254) ^ [] : [true___, -(true___)], (148 ^ _121254) ^ [_125868, _125870, _125872, _125874] : [-(m1_subset_1(_125872, _125868)), m1_subset_1(_125874, _125870), _125874 = _125872, _125870 = _125868], (90 ^ _121254) ^ [_124067, _124069] : [-(l1_lattices(_124067)), _124069 = _124067, l1_lattices(_124069)], (524 ^ _121254) ^ [] : [-(l3_lattices(522 ^ []))], (20 ^ _121254) ^ [_122002, _122004] : [-(v1_funct_1(_122002)), _122004 = _122002, v1_funct_1(_122004)], (732 ^ _121254) ^ [_143128] : [-(v3_struct_0(_143128)), v10_lattices(_143128), l3_lattices(_143128), 743 ^ _121254 : [(744 ^ _121254) ^ [_143471] : [-(v1_xboole_0(_143471)), m1_subset_1(_143471, k1_zfmisc_1(u1_struct_0(_143128))), 759 ^ _121254 : [(762 ^ _121254) ^ [] : [-(k19_filter_2(_143128, _143471) = u1_struct_0(_143128))], (760 ^ _121254) ^ [] : [-(r1_filter_2(u1_struct_0(_143128), k19_filter_2(_143128, _143471), k17_filter_2(_143128)))]], v14_lattices(_143128), r2_hidden(k6_lattices(_143128), _143471)]]], (268 ^ _121254) ^ [_129689, _129691] : [_129691 = _129689, -(k1_zfmisc_1(_129691) = k1_zfmisc_1(_129689))], (124 ^ _121254) ^ [_125101, _125103] : [-(l1_struct_0(_125101)), _125103 = _125101, l1_struct_0(_125103)], (330 ^ _121254) ^ [_131723] : [l3_lattices(_131723), 361 ^ _121254 : [(364 ^ _121254) ^ [] : [-(v10_lattices(_131723))], (362 ^ _121254) ^ [] : [v3_struct_0(_131723)]], -(v3_struct_0(_131723)), v4_lattices(_131723), v5_lattices(_131723), v6_lattices(_131723), v7_lattices(_131723), v8_lattices(_131723), v9_lattices(_131723)], (790 ^ _121254) ^ [_144912, _144914] : [r2_hidden(_144914, _144912), v1_xboole_0(_144912)], (240 ^ _121254) ^ [_128683, _128685, _128687, _128689, _128691, _128693] : [-(r1_filter_2(_128691, _128687, _128683)), r1_filter_2(_128693, _128689, _128685), _128693 = _128691, _128689 = _128687, _128685 = _128683], (490 ^ _121254) ^ [_135840] : [501 ^ _121254 : [(502 ^ _121254) ^ [_136144] : [m2_lattice4(_136144, _135840), -(m1_subset_1(_136144, k1_zfmisc_1(u1_struct_0(_135840))))]], -(v3_struct_0(_135840)), v10_lattices(_135840), l3_lattices(_135840)], (30 ^ _121254) ^ [_122297, _122299] : [-(v4_lattices(_122297)), _122299 = _122297, v4_lattices(_122299)], (569 ^ _121254) ^ [_138029] : [v1_xboole_0(k1_zfmisc_1(_138029))], (686 ^ _121254) ^ [_141702, _141704] : [r2_hidden(_141704, _141702), -(m1_subset_1(_141704, _141702))], (611 ^ _121254) ^ [] : [-(l1_struct_0(609 ^ []))], (50 ^ _121254) ^ [_122887, _122889] : [-(v6_lattices(_122887)), _122889 = _122887, v6_lattices(_122889)], (416 ^ _121254) ^ [] : [true___, -(true___)], (444 ^ _121254) ^ [] : [true___, -(true___)], (796 ^ _121254) ^ [_145099, _145101] : [v1_xboole_0(_145101), -(_145101 = _145099), v1_xboole_0(_145099)], (80 ^ _121254) ^ [_123772, _123774] : [-(v9_lattices(_123772)), _123774 = _123772, v9_lattices(_123774)], (292 ^ _121254) ^ [_130563, _130565] : [r2_hidden(_130565, _130563), r2_hidden(_130563, _130565)], (226 ^ _121254) ^ [_128231, _128233, _128235, _128237] : [-(r2_hidden(_128235, _128231)), r2_hidden(_128237, _128233), _128237 = _128235, _128233 = _128231], (573 ^ _121254) ^ [_138176] : [585 ^ _121254 : [(588 ^ _121254) ^ [] : [v1_xboole_0(584 ^ [_138176])], (586 ^ _121254) ^ [] : [-(m2_lattice4(584 ^ [_138176], _138176))]], -(v3_struct_0(_138176)), v10_lattices(_138176), l3_lattices(_138176)], (274 ^ _121254) ^ [_129907, _129909] : [_129909 = _129907, -(k6_lattices(_129909) = k6_lattices(_129907))], (182 ^ _121254) ^ [_126874, _126876] : [-(v10_lattices(_126874)), _126876 = _126874, v10_lattices(_126876)], (464 ^ _121254) ^ [] : [true___, -(true___)], (527 ^ _121254) ^ [_136854] : [-(m1_subset_1(525 ^ [_136854], _136854))], (608 ^ _121254) ^ [] : [v1_xboole_0(606 ^ [])], (544 ^ _121254) ^ [_137360] : [-(m2_lattice4(555 ^ [_137360], _137360)), -(v3_struct_0(_137360)), v10_lattices(_137360), l3_lattices(_137360)], (10 ^ _121254) ^ [_121689, _121691, _121693] : [-(_121693 = _121689), _121693 = _121691, _121691 = _121689], (571 ^ _121254) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (456 ^ _121254) ^ [_134880] : [l3_lattices(_134880), 459 ^ _121254 : [(462 ^ _121254) ^ [] : [-(l2_lattices(_134880))], (460 ^ _121254) ^ [] : [-(l1_lattices(_134880))]]], (529 ^ _121254) ^ [_136952] : [-(m2_filter_2(540 ^ [_136952], _136952)), -(v3_struct_0(_136952)), v10_lattices(_136952), l3_lattices(_136952)], (100 ^ _121254) ^ [_124362, _124364] : [-(l2_lattices(_124362)), _124364 = _124362, l2_lattices(_124364)], (134 ^ _121254) ^ [_125424, _125426, _125428, _125430] : [-(r1_tarski(_125428, _125424)), r1_tarski(_125430, _125426), _125430 = _125428, _125426 = _125424], (2 ^ _121254) ^ [_121378] : [-(_121378 = _121378)], (40 ^ _121254) ^ [_122592, _122594] : [-(v5_lattices(_122592)), _122594 = _122592, v5_lattices(_122594)]], input).
% 210.29/203.23  ncf('1',plain,[-(v14_lattices(805 ^ []))],start(816 ^ 0)).
% 210.29/203.23  ncf('1.1',plain,[v14_lattices(805 ^ []), 744 : -(v1_xboole_0(812 ^ [])), 744 : m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ []))), 760 : -(r1_filter_2(u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ []), k17_filter_2(805 ^ []))), 760 : r2_hidden(k6_lattices(805 ^ []), 812 ^ []), 744 : -(v3_struct_0(805 ^ [])), 744 : v10_lattices(805 ^ []), 744 : l3_lattices(805 ^ [])],extension(732 ^ 1,bind([[_143128, _143471], [805 ^ [], 812 ^ []]]))).
% 210.29/203.23  ncf('1.1.1',plain,[v1_xboole_0(812 ^ []), 482 : m2_filter_2(812 ^ [], 805 ^ []), 482 : -(v3_struct_0(805 ^ [])), 482 : v10_lattices(805 ^ []), 482 : l3_lattices(805 ^ [])],extension(470 ^ 4,bind([[_135256, _135563], [805 ^ [], 812 ^ []]]))).
% 210.29/203.23  ncf('1.1.1.1',plain,[-(m2_filter_2(812 ^ [], 805 ^ []))],extension(814 ^ 7)).
% 210.29/203.23  ncf('1.1.1.2',plain,[v3_struct_0(805 ^ [])],extension(807 ^ 5)).
% 210.29/203.23  ncf('1.1.1.3',plain,[-(v10_lattices(805 ^ []))],extension(809 ^ 5)).
% 210.29/203.23  ncf('1.1.1.4',plain,[-(l3_lattices(805 ^ []))],extension(811 ^ 5)).
% 210.29/203.23  ncf('1.1.2',plain,[-(m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ [])))), 502 : m2_lattice4(812 ^ [], 805 ^ []), 502 : -(v3_struct_0(805 ^ [])), 502 : v10_lattices(805 ^ []), 502 : l3_lattices(805 ^ [])],extension(490 ^ 4,bind([[_135840, _136144], [805 ^ [], 812 ^ []]]))).
% 210.29/203.23  ncf('1.1.2.1',plain,[-(m2_lattice4(812 ^ [], 805 ^ [])), 482 : m2_filter_2(812 ^ [], 805 ^ []), 482 : -(v3_struct_0(805 ^ [])), 482 : v10_lattices(805 ^ []), 482 : l3_lattices(805 ^ [])],extension(470 ^ 7,bind([[_135256, _135563], [805 ^ [], 812 ^ []]]))).
% 210.29/203.23  ncf('1.1.2.1.1',plain,[-(m2_filter_2(812 ^ [], 805 ^ []))],extension(814 ^ 10)).
% 210.29/203.23  ncf('1.1.2.1.2',plain,[v3_struct_0(805 ^ [])],extension(807 ^ 8)).
% 210.29/203.23  ncf('1.1.2.1.3',plain,[-(v10_lattices(805 ^ []))],extension(809 ^ 8)).
% 210.29/203.23  ncf('1.1.2.1.4',plain,[-(l3_lattices(805 ^ []))],extension(811 ^ 8)).
% 210.29/203.23  ncf('1.1.2.2',plain,[v3_struct_0(805 ^ [])],extension(807 ^ 5)).
% 210.29/203.23  ncf('1.1.2.3',plain,[-(v10_lattices(805 ^ []))],extension(809 ^ 5)).
% 210.29/203.23  ncf('1.1.2.4',plain,[-(l3_lattices(805 ^ []))],extension(811 ^ 5)).
% 210.29/203.23  ncf('1.1.3',plain,[r1_filter_2(u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ []), k17_filter_2(805 ^ [])), -(r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], k17_filter_2(805 ^ []))), u1_struct_0(805 ^ []) = u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ []) = 812 ^ [], k17_filter_2(805 ^ []) = k17_filter_2(805 ^ [])],extension(240 ^ 6,bind([[_128683, _128685, _128687, _128689, _128691, _128693], [k17_filter_2(805 ^ []), k17_filter_2(805 ^ []), 812 ^ [], k19_filter_2(805 ^ [], 812 ^ []), u1_struct_0(805 ^ []), u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.1',plain,[r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], k17_filter_2(805 ^ [])), 812 ^ [] = u1_struct_0(805 ^ [])],extension(820 ^ 7)).
% 210.29/203.23  ncf('1.1.3.1.1',plain,[-(812 ^ [] = u1_struct_0(805 ^ [])), 640 : r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], u1_struct_0(805 ^ [])), 640 : -(v1_xboole_0(u1_struct_0(805 ^ []))), 640 : m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ []))), 640 : m1_subset_1(u1_struct_0(805 ^ []), k1_zfmisc_1(u1_struct_0(805 ^ [])))],extension(628 ^ 8,bind([[_139979, _139981, _139983], [u1_struct_0(805 ^ []), 812 ^ [], u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.1.1.1',plain,[-(r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], u1_struct_0(805 ^ []))), r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], k17_filter_2(805 ^ [])), u1_struct_0(805 ^ []) = u1_struct_0(805 ^ []), 812 ^ [] = 812 ^ [], k17_filter_2(805 ^ []) = u1_struct_0(805 ^ [])],extension(240 ^ 11,bind([[_128683, _128685, _128687, _128689, _128691, _128693], [u1_struct_0(805 ^ []), k17_filter_2(805 ^ []), 812 ^ [], 812 ^ [], u1_struct_0(805 ^ []), u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.1.1.1.1',plain,[-(r1_filter_2(u1_struct_0(805 ^ []), 812 ^ [], k17_filter_2(805 ^ [])))],reduction('1.1.3')).
% 210.29/203.23  ncf('1.1.3.1.1.1.2',plain,[-(u1_struct_0(805 ^ []) = u1_struct_0(805 ^ []))],extension(2 ^ 12,bind([[_121378], [u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.1.1.1.3',plain,[-(812 ^ [] = 812 ^ [])],extension(2 ^ 12,bind([[_121378], [812 ^ []]]))).
% 210.29/203.23  ncf('1.1.3.1.1.1.4',plain,[-(k17_filter_2(805 ^ []) = u1_struct_0(805 ^ [])), -(v3_struct_0(805 ^ [])), v10_lattices(805 ^ []), l3_lattices(805 ^ [])],extension(366 ^ 12,bind([[_132565], [805 ^ []]]))).
% 210.29/203.23  ncf('1.1.3.1.1.1.4.1',plain,[v3_struct_0(805 ^ [])],extension(807 ^ 13)).
% 210.29/203.23  ncf('1.1.3.1.1.1.4.2',plain,[-(v10_lattices(805 ^ []))],extension(809 ^ 13)).
% 210.29/203.23  ncf('1.1.3.1.1.1.4.3',plain,[-(l3_lattices(805 ^ []))],extension(811 ^ 13)).
% 210.29/203.23  ncf('1.1.3.1.1.2',plain,[v1_xboole_0(u1_struct_0(805 ^ [])), r2_hidden(k6_lattices(805 ^ []), 812 ^ []), m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ [])))],extension(774 ^ 9,bind([[_144414, _144416, _144418], [u1_struct_0(805 ^ []), 812 ^ [], k6_lattices(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.1.1.2.1',plain,[-(r2_hidden(k6_lattices(805 ^ []), 812 ^ []))],extension(818 ^ 10)).
% 210.29/203.23  ncf('1.1.3.1.1.2.2',plain,[-(m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ []))))],lemmata('[1].x')).
% 210.29/203.23  ncf('1.1.3.1.1.3',plain,[-(m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ []))))],lemmata('[1].x')).
% 210.29/203.23  ncf('1.1.3.1.1.4',plain,[-(m1_subset_1(u1_struct_0(805 ^ []), k1_zfmisc_1(u1_struct_0(805 ^ [])))), r1_tarski(u1_struct_0(805 ^ []), u1_struct_0(805 ^ []))],extension(726 ^ 9,bind([[_142926, _142928], [u1_struct_0(805 ^ []), u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.1.1.4.1',plain,[-(r1_tarski(u1_struct_0(805 ^ []), u1_struct_0(805 ^ [])))],extension(666 ^ 10,bind([[_141069, _141071], [_89778, u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.2',plain,[-(u1_struct_0(805 ^ []) = u1_struct_0(805 ^ [])), 805 ^ [] = 805 ^ []],extension(286 ^ 7,bind([[_130323, _130325], [805 ^ [], 805 ^ []]]))).
% 210.29/203.23  ncf('1.1.3.2.1',plain,[-(805 ^ [] = 805 ^ [])],extension(2 ^ 8,bind([[_121378], [805 ^ []]]))).
% 210.29/203.23  ncf('1.1.3.3',plain,[-(k19_filter_2(805 ^ [], 812 ^ []) = 812 ^ []), 640 : r1_filter_2(u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ []), 812 ^ []), 640 : -(v1_xboole_0(u1_struct_0(805 ^ []))), 640 : m1_subset_1(k19_filter_2(805 ^ [], 812 ^ []), k1_zfmisc_1(u1_struct_0(805 ^ []))), 640 : m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ [])))],extension(628 ^ 7,bind([[_139979, _139981, _139983], [812 ^ [], k19_filter_2(805 ^ [], 812 ^ []), u1_struct_0(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.3.1',plain,[-(r1_filter_2(u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ []), 812 ^ [])), 714 : m2_filter_2(812 ^ [], 805 ^ []), 714 : -(v3_struct_0(805 ^ [])), 714 : v10_lattices(805 ^ []), 714 : l3_lattices(805 ^ [])],extension(702 ^ 10,bind([[_142196, _142502], [805 ^ [], 812 ^ []]]))).
% 210.29/203.23  ncf('1.1.3.3.1.1',plain,[-(m2_filter_2(812 ^ [], 805 ^ []))],extension(814 ^ 13)).
% 210.29/203.23  ncf('1.1.3.3.1.2',plain,[v3_struct_0(805 ^ [])],extension(807 ^ 11)).
% 210.29/203.23  ncf('1.1.3.3.1.3',plain,[-(v10_lattices(805 ^ []))],extension(809 ^ 11)).
% 210.29/203.23  ncf('1.1.3.3.1.4',plain,[-(l3_lattices(805 ^ []))],extension(811 ^ 11)).
% 210.29/203.23  ncf('1.1.3.3.2',plain,[v1_xboole_0(u1_struct_0(805 ^ [])), r2_hidden(k6_lattices(805 ^ []), 812 ^ []), m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ [])))],extension(774 ^ 8,bind([[_144414, _144416, _144418], [u1_struct_0(805 ^ []), 812 ^ [], k6_lattices(805 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.3.2.1',plain,[-(r2_hidden(k6_lattices(805 ^ []), 812 ^ []))],extension(818 ^ 9)).
% 210.29/203.23  ncf('1.1.3.3.2.2',plain,[-(m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ []))))],lemmata('[1].x')).
% 210.29/203.23  ncf('1.1.3.3.3',plain,[-(m1_subset_1(k19_filter_2(805 ^ [], 812 ^ []), k1_zfmisc_1(u1_struct_0(805 ^ [])))), r1_tarski(k19_filter_2(805 ^ [], 812 ^ []), u1_struct_0(805 ^ []))],extension(726 ^ 8,bind([[_142926, _142928], [u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.3.3.1',plain,[-(r1_tarski(k19_filter_2(805 ^ [], 812 ^ []), u1_struct_0(805 ^ []))), r1_tarski(k19_filter_2(805 ^ [], 812 ^ []), k19_filter_2(805 ^ [], 812 ^ [])), k19_filter_2(805 ^ [], 812 ^ []) = k19_filter_2(805 ^ [], 812 ^ []), k19_filter_2(805 ^ [], 812 ^ []) = u1_struct_0(805 ^ [])],extension(134 ^ 9,bind([[_125424, _125426, _125428, _125430], [u1_struct_0(805 ^ []), k19_filter_2(805 ^ [], 812 ^ []), k19_filter_2(805 ^ [], 812 ^ []), k19_filter_2(805 ^ [], 812 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.3.3.1.1',plain,[-(r1_tarski(k19_filter_2(805 ^ [], 812 ^ []), k19_filter_2(805 ^ [], 812 ^ [])))],extension(666 ^ 10,bind([[_141069, _141071], [_92630, k19_filter_2(805 ^ [], 812 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.3.3.1.2',plain,[-(k19_filter_2(805 ^ [], 812 ^ []) = k19_filter_2(805 ^ [], 812 ^ []))],extension(2 ^ 10,bind([[_121378], [k19_filter_2(805 ^ [], 812 ^ [])]]))).
% 210.29/203.23  ncf('1.1.3.3.3.1.3',plain,[-(k19_filter_2(805 ^ [], 812 ^ []) = u1_struct_0(805 ^ []))],extension(762 ^ 10)).
% 210.29/203.23  ncf('1.1.3.3.4',plain,[-(m1_subset_1(812 ^ [], k1_zfmisc_1(u1_struct_0(805 ^ []))))],lemmata('[1].x')).
% 210.29/203.23  ncf('1.1.3.4',plain,[-(k17_filter_2(805 ^ []) = k17_filter_2(805 ^ [])), 805 ^ [] = 805 ^ []],extension(280 ^ 7,bind([[_130125, _130127], [805 ^ [], 805 ^ []]]))).
% 210.29/203.23  ncf('1.1.3.4.1',plain,[-(805 ^ [] = 805 ^ [])],extension(2 ^ 8,bind([[_121378], [805 ^ []]]))).
% 210.29/203.23  ncf('1.1.4',plain,[-(r2_hidden(k6_lattices(805 ^ []), 812 ^ []))],extension(818 ^ 4)).
% 210.29/203.23  ncf('1.1.5',plain,[v3_struct_0(805 ^ [])],extension(807 ^ 2)).
% 210.29/203.23  ncf('1.1.6',plain,[-(v10_lattices(805 ^ []))],extension(809 ^ 2)).
% 210.29/203.23  ncf('1.1.7',plain,[-(l3_lattices(805 ^ []))],extension(811 ^ 2)).
% 210.29/203.23  %-----------------------------------------------------
% 210.29/203.23  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------