TSTP Solution File: GRP642+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 11:16:25 EDT 2023

% Result   : Theorem 201.86s 195.79s
% Output   : Proof 201.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GRP642+1 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n001.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 : Fri May 19 02:17:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 201.86/195.79  
% 201.86/195.79  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 201.86/195.79  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 201.86/195.79  %-----------------------------------------------------
% 201.86/195.79  ncf(matrix, plain, [(815 ^ _157593) ^ [] : [-(v1_group_1(813 ^ []))], (808 ^ _157593) ^ [] : [-(v3_group_1(804 ^ []))], (806 ^ _157593) ^ [] : [v3_struct_0(804 ^ [])], (810 ^ _157593) ^ [] : [-(v4_group_1(804 ^ []))], (817 ^ _157593) ^ [] : [-(m1_group_2(813 ^ [], 804 ^ []))], (819 ^ _157593) ^ [] : [-(k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []) = k1_xboole_0)], (812 ^ _157593) ^ [] : [-(l1_group_1(804 ^ []))], !, (260 ^ _131781) ^ [_140273, _140275, _140277, _140279] : [-(g1_group_1(_140279, _140275) = g1_group_1(_140277, _140273)), _140279 = _140277, _140275 = _140273], (689 ^ _131781) ^ [_153449, _153451] : [-(m1_relset_1(687 ^ [_153449, _153451], _153451, _153449))], (250 ^ _131781) ^ [_139914, _139916, _139918, _139920] : [-(k2_zfmisc_1(_139920, _139916) = k2_zfmisc_1(_139918, _139914)), _139920 = _139918, _139916 = _139914], (751 ^ _131781) ^ [_155624, _155626] : [m1_subset_1(_155626, k1_zfmisc_1(_155624)), -(r1_tarski(_155626, _155624))], (763 ^ _131781) ^ [_156020, _156022, _156024] : [-(m1_subset_1(_156024, _156020)), r2_hidden(_156024, _156022), m1_subset_1(_156022, k1_zfmisc_1(_156020))], (336 ^ _131781) ^ [_142860, _142862] : [-(v1_xboole_0(_142860)), 339 ^ _131781 : [(340 ^ _131781) ^ [_143024] : [m1_relset_1(_143024, _142862, _142860), 351 ^ _131781 : [(356 ^ _131781) ^ [] : [-(v1_funct_2(_143024, _142862, _142860))], (354 ^ _131781) ^ [] : [-(v1_partfun1(_143024, _142862, _142860))], (352 ^ _131781) ^ [] : [-(v1_funct_1(_143024))]], v1_funct_1(_143024), v1_funct_2(_143024, _142862, _142860)]]], (727 ^ _131781) ^ [_154771, _154773, _154775] : [m1_relset_1(_154771, _154775, _154773), -(m2_relset_1(_154771, _154775, _154773))], (579 ^ _131781) ^ [] : [-(l1_struct_0(577 ^ []))], (164 ^ _131781) ^ [_137182, _137184] : [-(v1_xboole_0(_137182)), _137184 = _137182, v1_xboole_0(_137184)], (721 ^ _131781) ^ [_154599, _154601, _154603] : [m2_relset_1(_154599, _154603, _154601), -(m1_relset_1(_154599, _154603, _154601))], (637 ^ _131781) ^ [_151598, _151600] : [v1_xboole_0(k2_zfmisc_1(_151600, _151598)), -(v1_xboole_0(_151600)), -(v1_xboole_0(_151598))], (194 ^ _131781) ^ [_138067, _138069] : [-(v4_group_1(_138067)), _138069 = _138067, v4_group_1(_138069)], (104 ^ _131781) ^ [_135297, _135299, _135301, _135303, _135305, _135307] : [-(m1_relset_1(_135305, _135301, _135297)), m1_relset_1(_135307, _135303, _135299), _135307 = _135305, _135303 = _135301, _135299 = _135297], (270 ^ _131781) ^ [_140604, _140606] : [_140606 = _140604, -(u1_struct_0(_140606) = u1_struct_0(_140604))], (314 ^ _131781) ^ [_142141, _142143, _142145] : [m1_relset_1(_142141, _142145, _142143), 325 ^ _131781 : [(328 ^ _131781) ^ [] : [-(v1_funct_2(_142141, _142145, _142143))], (326 ^ _131781) ^ [] : [-(v1_funct_1(_142141))]], v1_funct_1(_142141), v1_partfun1(_142141, _142145, _142143)], (541 ^ _131781) ^ [] : [true___, -(true___)], (224 ^ _131781) ^ [_138960, _138962, _138964, _138966] : [-(m1_group_2(_138964, _138960)), m1_group_2(_138966, _138962), _138966 = _138964, _138962 = _138960], (597 ^ _131781) ^ [_150364, _150366] : [-(m1_relset_1(595 ^ [_150364, _150366], _150366, _150364))], (733 ^ _131781) ^ [_154978, _154980] : [-(r1_tarski(_154980, _154980))], (86 ^ _131781) ^ [_134688, _134690, _134692, _134694, _134696, _134698] : [-(m2_relset_1(_134696, _134692, _134688)), m2_relset_1(_134698, _134694, _134690), _134698 = _134696, _134694 = _134692, _134690 = _134688], (358 ^ _131781) ^ [_143592, _143594] : [-(v1_xboole_0(_143594)), -(v1_xboole_0(_143592)), 365 ^ _131781 : [(366 ^ _131781) ^ [_143853] : [m1_relset_1(_143853, _143594, _143592), 377 ^ _131781 : [(384 ^ _131781) ^ [] : [-(v1_funct_2(_143853, _143594, _143592))], (378 ^ _131781) ^ [] : [-(v1_funct_1(_143853))], (382 ^ _131781) ^ [] : [-(v1_partfun1(_143853, _143594, _143592))], (380 ^ _131781) ^ [] : [v1_xboole_0(_143853)]], v1_funct_1(_143853), v1_funct_2(_143853, _143594, _143592)]]], (691 ^ _131781) ^ [_153523, _153525] : [-(v1_relat_1(687 ^ [_153523, _153525]))], (298 ^ _131781) ^ [_141617] : [l1_group_1(_141617), v1_group_1(_141617), -(_141617 = g1_group_1(u1_struct_0(_141617), u1_group_1(_141617)))], (647 ^ _131781) ^ [_151904, _151906] : [658 ^ _131781 : [(659 ^ _131781) ^ [_152264, _152266] : [g1_group_1(_151906, _151904) = g1_group_1(_152266, _152264), 662 ^ _131781 : [(665 ^ _131781) ^ [] : [-(_151904 = _152264)], (663 ^ _131781) ^ [] : [-(_151906 = _152266)]]]], v1_funct_1(_151904), v1_funct_2(_151904, k2_zfmisc_1(_151906, _151906), _151906), m1_relset_1(_151904, k2_zfmisc_1(_151906, _151906), _151906)], (238 ^ _131781) ^ [_139450, _139452] : [_139452 = _139450, -(u1_group_1(_139452) = u1_group_1(_139450))], (501 ^ _131781) ^ [] : [true___, -(true___)], (676 ^ _131781) ^ [_152957] : [-(v1_xboole_0(_152957)), 680 ^ _131781 : [(683 ^ _131781) ^ [] : [v1_xboole_0(679 ^ [_152957])], (681 ^ _131781) ^ [] : [-(m1_subset_1(679 ^ [_152957], k1_zfmisc_1(_152957)))]]], (674 ^ _131781) ^ [_152848, _152850] : [-(v1_funct_2(666 ^ [_152848, _152850], _152850, _152848))], (547 ^ _131781) ^ [] : [true___, -(true___)], (292 ^ _131781) ^ [_141379, _141381] : [_141381 = _141379, -(k1_latsubgr(_141381) = k1_latsubgr(_141379))], (757 ^ _131781) ^ [_155790, _155792] : [r1_tarski(_155792, _155790), -(m1_subset_1(_155792, k1_zfmisc_1(_155790)))], (136 ^ _131781) ^ [_136322, _136324, _136326, _136328] : [-(m1_subset_1(_136326, _136322)), m1_subset_1(_136328, _136324), _136328 = _136326, _136324 = _136322], (150 ^ _131781) ^ [_136766, _136768, _136770, _136772] : [-(r2_hidden(_136770, _136766)), r2_hidden(_136772, _136768), _136772 = _136770, _136768 = _136766], (741 ^ _131781) ^ [_155297, _155299] : [m1_subset_1(_155299, _155297), -(v1_xboole_0(_155297)), -(r2_hidden(_155299, _155297))], (330 ^ _131781) ^ [_142636, _142638, _142640] : [m1_subset_1(_142636, k1_zfmisc_1(k2_zfmisc_1(_142640, _142638))), -(v1_relat_1(_142636))], (581 ^ _131781) ^ [_149915] : [-(m1_group_2(592 ^ [_149915], _149915)), -(v3_struct_0(_149915)), v3_group_1(_149915), l1_group_1(_149915)], (66 ^ _131781) ^ [_134042, _134044] : [-(v1_funct_1(_134042)), _134044 = _134042, v1_funct_1(_134044)], (693 ^ _131781) ^ [_153575, _153577] : [-(v1_funct_1(687 ^ [_153575, _153577]))], (519 ^ _131781) ^ [_148097] : [530 ^ _131781 : [(531 ^ _131781) ^ [_148408] : [m1_group_2(_148408, _148097), 534 ^ _131781 : [(539 ^ _131781) ^ [] : [-(l1_group_1(_148408))], (537 ^ _131781) ^ [] : [-(v3_group_1(_148408))], (535 ^ _131781) ^ [] : [v3_struct_0(_148408)]]]], -(v3_struct_0(_148097)), v3_group_1(_148097), l1_group_1(_148097)], (461 ^ _131781) ^ [] : [true___, -(true___)], (701 ^ _131781) ^ [] : [v1_xboole_0(699 ^ [])], (698 ^ _131781) ^ [_153782] : [-(v1_xboole_0(694 ^ [_153782]))], (244 ^ _131781) ^ [_139668, _139670] : [_139670 = _139668, -(k1_group_3(_139670) = k1_group_3(_139668))], (56 ^ _131781) ^ [_133747, _133749] : [-(v1_relat_1(_133747)), _133749 = _133747, v1_relat_1(_133749)], (672 ^ _131781) ^ [_152796, _152798] : [-(v1_funct_1(666 ^ [_152796, _152798]))], (706 ^ _131781) ^ [] : [v3_struct_0(702 ^ [])], (122 ^ _131781) ^ [_135878, _135880, _135882, _135884] : [-(r1_tarski(_135882, _135878)), r1_tarski(_135884, _135880), _135884 = _135882, _135880 = _135878], (708 ^ _131781) ^ [_154121] : [716 ^ _131781 : [(719 ^ _131781) ^ [] : [v1_xboole_0(715 ^ [_154121])], (717 ^ _131781) ^ [] : [-(m1_subset_1(715 ^ [_154121], k1_zfmisc_1(u1_struct_0(_154121))))]], -(v3_struct_0(_154121)), l1_struct_0(_154121)], (559 ^ _131781) ^ [_149235] : [l1_group_1(_149235), 562 ^ _131781 : [(567 ^ _131781) ^ [] : [-(m2_relset_1(u1_group_1(_149235), k2_zfmisc_1(u1_struct_0(_149235), u1_struct_0(_149235)), u1_struct_0(_149235)))], (565 ^ _131781) ^ [] : [-(v1_funct_2(u1_group_1(_149235), k2_zfmisc_1(u1_struct_0(_149235), u1_struct_0(_149235)), u1_struct_0(_149235)))], (563 ^ _131781) ^ [] : [-(v1_funct_1(u1_group_1(_149235)))]]], (4 ^ _131781) ^ [_132012, _132014] : [_132014 = _132012, -(_132012 = _132014)], (605 ^ _131781) ^ [_150733] : [v1_xboole_0(k1_group_3(_150733)), -(v3_struct_0(_150733)), v3_group_1(_150733), v4_group_1(_150733), l1_group_1(_150733)], (282 ^ _131781) ^ [_141068, _141070, _141072, _141074] : [-(k1_funct_1(_141074, _141070) = k1_funct_1(_141072, _141068)), _141074 = _141072, _141070 = _141068], (204 ^ _131781) ^ [_138362, _138364] : [-(l1_group_1(_138362)), _138364 = _138362, l1_group_1(_138364)], (795 ^ _131781) ^ [_157032, _157034] : [v1_xboole_0(_157034), -(_157034 = _157032), v1_xboole_0(_157032)], (576 ^ _131781) ^ [] : [-(l1_group_1(574 ^ []))], (495 ^ _131781) ^ [] : [true___, -(true___)], (789 ^ _131781) ^ [_156845, _156847] : [r2_hidden(_156847, _156845), v1_xboole_0(_156845)], (633 ^ _131781) ^ [_151437] : [v1_xboole_0(k1_zfmisc_1(_151437))], (507 ^ _131781) ^ [_147792] : [l1_group_1(_147792), -(l1_struct_0(_147792))], (20 ^ _131781) ^ [_132585, _132587, _132589, _132591, _132593, _132595] : [-(v1_partfun1(_132593, _132589, _132585)), v1_partfun1(_132595, _132591, _132587), _132595 = _132593, _132591 = _132589, _132587 = _132585], (600 ^ _131781) ^ [_150491] : [-(m1_subset_1(598 ^ [_150491], _150491))], (439 ^ _131781) ^ [_146103, _146105] : [450 ^ _131781 : [(453 ^ _131781) ^ [] : [-(l1_group_1(g1_group_1(_146105, _146103)))], (451 ^ _131781) ^ [] : [-(v1_group_1(g1_group_1(_146105, _146103)))]], v1_funct_1(_146103), v1_funct_2(_146103, k2_zfmisc_1(_146105, _146105), _146105), m1_relset_1(_146103, k2_zfmisc_1(_146105, _146105), _146105)], (569 ^ _131781) ^ [] : [true___, -(true___)], (635 ^ _131781) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (603 ^ _131781) ^ [_150630, _150632] : [-(m2_relset_1(601 ^ [_150630, _150632], _150632, _150630))], (783 ^ _131781) ^ [_156643] : [v1_xboole_0(_156643), -(_156643 = k1_xboole_0)], (696 ^ _131781) ^ [_153731] : [-(m1_subset_1(694 ^ [_153731], k1_zfmisc_1(_153731)))], (773 ^ _131781) ^ [_156347, _156349, _156351] : [r2_hidden(_156351, _156349), m1_subset_1(_156349, k1_zfmisc_1(_156347)), v1_xboole_0(_156347)], (174 ^ _131781) ^ [_137477, _137479] : [-(v3_struct_0(_137477)), _137479 = _137477, v3_struct_0(_137479)], (670 ^ _131781) ^ [_152724, _152726] : [-(v1_relat_1(666 ^ [_152724, _152726]))], (513 ^ _131781) ^ [] : [true___, -(true___)], (386 ^ _131781) ^ [_144484] : [-(v3_struct_0(_144484)), v3_group_1(_144484), v4_group_1(_144484), l1_group_1(_144484), 401 ^ _131781 : [(402 ^ _131781) ^ [_144921] : [v1_funct_1(_144921), v1_funct_2(_144921, k1_group_3(_144484), k1_zfmisc_1(u1_struct_0(_144484))), m2_relset_1(_144921, k1_group_3(_144484), k1_zfmisc_1(u1_struct_0(_144484))), 413 ^ _131781 : [(414 ^ _131781) ^ [] : [_144921 = k1_latsubgr(_144484), 417 ^ _131781 : [(418 ^ _131781) ^ [_145392] : [-(k1_funct_1(_144921, _145392) = u1_struct_0(_145392)), v1_group_1(_145392), m1_group_2(_145392, _144484)]]], (428 ^ _131781) ^ [] : [430 ^ _131781 : [(435 ^ _131781) ^ [] : [k1_funct_1(_144921, 429 ^ [_144484, _144921]) = u1_struct_0(429 ^ [_144484, _144921])], (433 ^ _131781) ^ [] : [-(m1_group_2(429 ^ [_144484, _144921], _144484))], (431 ^ _131781) ^ [] : [-(v1_group_1(429 ^ [_144484, _144921]))]], -(_144921 = k1_latsubgr(_144484))]]]]], (704 ^ _131781) ^ [] : [-(l1_struct_0(702 ^ []))], (686 ^ _131781) ^ [] : [-(v1_xboole_0(684 ^ []))], (10 ^ _131781) ^ [_132216, _132218, _132220] : [-(_132220 = _132216), _132220 = _132218, _132218 = _132216], (455 ^ _131781) ^ [] : [true___, -(true___)], (214 ^ _131781) ^ [_138657, _138659] : [-(v1_group_1(_138657)), _138659 = _138657, v1_group_1(_138659)], (38 ^ _131781) ^ [_133194, _133196, _133198, _133200, _133202, _133204] : [-(v1_funct_2(_133202, _133198, _133194)), v1_funct_2(_133204, _133200, _133196), _133204 = _133202, _133200 = _133198, _133196 = _133194], (467 ^ _131781) ^ [_146812] : [482 ^ _131781 : [(487 ^ _131781) ^ [] : [-(m2_relset_1(k1_latsubgr(_146812), k1_group_3(_146812), k1_zfmisc_1(u1_struct_0(_146812))))], (485 ^ _131781) ^ [] : [-(v1_funct_2(k1_latsubgr(_146812), k1_group_3(_146812), k1_zfmisc_1(u1_struct_0(_146812))))], (483 ^ _131781) ^ [] : [-(v1_funct_1(k1_latsubgr(_146812)))]], -(v3_struct_0(_146812)), v3_group_1(_146812), v4_group_1(_146812), l1_group_1(_146812)], (308 ^ _131781) ^ [_141916, _141918] : [r2_hidden(_141918, _141916), r2_hidden(_141916, _141918)], (489 ^ _131781) ^ [] : [true___, -(true___)], (553 ^ _131781) ^ [_149021, _149023, _149025] : [m2_relset_1(_149021, _149025, _149023), -(m1_subset_1(_149021, k1_zfmisc_1(k2_zfmisc_1(_149025, _149023))))], (668 ^ _131781) ^ [_152650, _152652] : [-(m1_relset_1(666 ^ [_152650, _152652], _152652, _152650))], (2 ^ _131781) ^ [_131905] : [-(_131905 = _131905)], (276 ^ _131781) ^ [_140822, _140824] : [_140824 = _140822, -(k1_zfmisc_1(_140824) = k1_zfmisc_1(_140822))], (76 ^ _131781) ^ [_134337, _134339] : [-(l1_struct_0(_134337)), _134339 = _134337, l1_struct_0(_134339)], (623 ^ _131781) ^ [_151176] : [v1_xboole_0(u1_struct_0(_151176)), -(v3_struct_0(_151176)), l1_struct_0(_151176)], (735 ^ _131781) ^ [_155087, _155089] : [r2_hidden(_155089, _155087), -(m1_subset_1(_155089, _155087))], (184 ^ _131781) ^ [_137772, _137774] : [-(v3_group_1(_137772)), _137774 = _137772, v3_group_1(_137774)]], input).
% 201.86/195.79  ncf('1',plain,[-(v1_group_1(813 ^ []))],start(815 ^ 0)).
% 201.86/195.79  ncf('1.1',plain,[v1_group_1(813 ^ []), 418 : -(k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []) = u1_struct_0(813 ^ [])), 418 : m1_group_2(813 ^ [], 804 ^ []), 418 : k1_latsubgr(804 ^ []) = k1_latsubgr(804 ^ []), 414 : v1_funct_1(k1_latsubgr(804 ^ [])), 414 : v1_funct_2(k1_latsubgr(804 ^ []), k1_group_3(804 ^ []), k1_zfmisc_1(u1_struct_0(804 ^ []))), 414 : m2_relset_1(k1_latsubgr(804 ^ []), k1_group_3(804 ^ []), k1_zfmisc_1(u1_struct_0(804 ^ []))), 402 : -(v3_struct_0(804 ^ [])), 402 : v3_group_1(804 ^ []), 402 : v4_group_1(804 ^ []), 402 : l1_group_1(804 ^ [])],extension(386 ^ 1,bind([[_144484, _144921, _145392], [804 ^ [], k1_latsubgr(804 ^ []), 813 ^ []]]))).
% 201.86/195.79  ncf('1.1.1',plain,[k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []) = u1_struct_0(813 ^ []), -(v1_xboole_0(u1_struct_0(813 ^ []))), v1_xboole_0(k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []))],extension(164 ^ 8,bind([[_137182, _137184], [u1_struct_0(813 ^ []), k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])]]))).
% 201.86/195.79  ncf('1.1.1.1',plain,[v1_xboole_0(u1_struct_0(813 ^ [])), -(v3_struct_0(813 ^ [])), l1_struct_0(813 ^ [])],extension(623 ^ 9,bind([[_151176], [813 ^ []]]))).
% 201.86/195.79  ncf('1.1.1.1.1',plain,[v3_struct_0(813 ^ []), 531 : m1_group_2(813 ^ [], 804 ^ []), 531 : -(v3_struct_0(804 ^ [])), 531 : v3_group_1(804 ^ []), 531 : l1_group_1(804 ^ [])],extension(519 ^ 10,bind([[_148097, _148408], [804 ^ [], 813 ^ []]]))).
% 201.86/195.79  ncf('1.1.1.1.1.1',plain,[-(m1_group_2(813 ^ [], 804 ^ []))],extension(817 ^ 13)).
% 201.86/195.79  ncf('1.1.1.1.1.2',plain,[v3_struct_0(804 ^ [])],extension(806 ^ 11)).
% 201.86/195.79  ncf('1.1.1.1.1.3',plain,[-(v3_group_1(804 ^ []))],extension(808 ^ 11)).
% 201.86/195.79  ncf('1.1.1.1.1.4',plain,[-(l1_group_1(804 ^ []))],extension(812 ^ 11)).
% 201.86/195.79  ncf('1.1.1.1.2',plain,[-(l1_struct_0(813 ^ [])), l1_group_1(813 ^ [])],extension(507 ^ 10,bind([[_147792], [813 ^ []]]))).
% 201.86/195.79  ncf('1.1.1.1.2.1',plain,[-(l1_group_1(813 ^ [])), 531 : m1_group_2(813 ^ [], 804 ^ []), 531 : -(v3_struct_0(804 ^ [])), 531 : v3_group_1(804 ^ []), 531 : l1_group_1(804 ^ [])],extension(519 ^ 11,bind([[_148097, _148408], [804 ^ [], 813 ^ []]]))).
% 201.86/195.79  ncf('1.1.1.1.2.1.1',plain,[-(m1_group_2(813 ^ [], 804 ^ []))],extension(817 ^ 14)).
% 201.86/195.79  ncf('1.1.1.1.2.1.2',plain,[v3_struct_0(804 ^ [])],extension(806 ^ 12)).
% 201.86/195.79  ncf('1.1.1.1.2.1.3',plain,[-(v3_group_1(804 ^ []))],extension(808 ^ 12)).
% 201.86/195.79  ncf('1.1.1.1.2.1.4',plain,[-(l1_group_1(804 ^ []))],extension(812 ^ 12)).
% 201.86/195.79  ncf('1.1.1.2',plain,[-(v1_xboole_0(k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []))), m1_subset_1(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])), -(r2_hidden(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])))],extension(741 ^ 9,bind([[_155297, _155299], [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []), 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])]]]))).
% 201.86/195.79  ncf('1.1.1.2.1',plain,[-(m1_subset_1(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])))],extension(600 ^ 10,bind([[_150491], [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])]]))).
% 201.86/195.79  ncf('1.1.1.2.2',plain,[r2_hidden(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])), -(r2_hidden(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_xboole_0)), 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])] = 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []) = k1_xboole_0],extension(150 ^ 10,bind([[_136766, _136768, _136770, _136772], [k1_xboole_0, k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []), 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])]]]))).
% 201.86/195.79  ncf('1.1.1.2.2.1',plain,[r2_hidden(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])], k1_xboole_0), v1_xboole_0(k1_xboole_0)],extension(789 ^ 11,bind([[_156845, _156847], [k1_xboole_0, 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])]]]))).
% 201.86/195.79  ncf('1.1.1.2.2.1.1',plain,[-(v1_xboole_0(k1_xboole_0))],extension(635 ^ 12)).
% 201.86/195.79  ncf('1.1.1.2.2.2',plain,[-(598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])] = 598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])])],extension(2 ^ 11,bind([[_131905], [598 ^ [k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ [])]]]))).
% 201.86/195.79  ncf('1.1.1.2.2.3',plain,[-(k1_funct_1(k1_latsubgr(804 ^ []), 813 ^ []) = k1_xboole_0)],extension(819 ^ 11)).
% 201.86/195.79  ncf('1.1.2',plain,[-(m1_group_2(813 ^ [], 804 ^ []))],extension(817 ^ 8)).
% 201.86/195.79  ncf('1.1.3',plain,[-(k1_latsubgr(804 ^ []) = k1_latsubgr(804 ^ [])), 804 ^ [] = 804 ^ []],extension(292 ^ 6,bind([[_141379, _141381], [804 ^ [], 804 ^ []]]))).
% 201.86/195.79  ncf('1.1.3.1',plain,[-(804 ^ [] = 804 ^ [])],extension(2 ^ 7,bind([[_131905], [804 ^ []]]))).
% 201.86/195.79  ncf('1.1.4',plain,[-(v1_funct_1(k1_latsubgr(804 ^ []))), -(v3_struct_0(804 ^ [])), v3_group_1(804 ^ []), v4_group_1(804 ^ []), l1_group_1(804 ^ [])],extension(467 ^ 4,bind([[_146812], [804 ^ []]]))).
% 201.86/195.79  ncf('1.1.4.1',plain,[v3_struct_0(804 ^ [])],extension(806 ^ 5)).
% 201.86/195.79  ncf('1.1.4.2',plain,[-(v3_group_1(804 ^ []))],extension(808 ^ 5)).
% 201.86/195.79  ncf('1.1.4.3',plain,[-(v4_group_1(804 ^ []))],extension(810 ^ 5)).
% 201.86/195.79  ncf('1.1.4.4',plain,[-(l1_group_1(804 ^ []))],extension(812 ^ 5)).
% 201.86/195.79  ncf('1.1.5',plain,[-(v1_funct_2(k1_latsubgr(804 ^ []), k1_group_3(804 ^ []), k1_zfmisc_1(u1_struct_0(804 ^ [])))), -(v3_struct_0(804 ^ [])), v3_group_1(804 ^ []), v4_group_1(804 ^ []), l1_group_1(804 ^ [])],extension(467 ^ 4,bind([[_146812], [804 ^ []]]))).
% 201.86/195.79  ncf('1.1.5.1',plain,[v3_struct_0(804 ^ [])],extension(806 ^ 5)).
% 201.86/195.79  ncf('1.1.5.2',plain,[-(v3_group_1(804 ^ []))],extension(808 ^ 5)).
% 201.86/195.79  ncf('1.1.5.3',plain,[-(v4_group_1(804 ^ []))],extension(810 ^ 5)).
% 201.86/195.79  ncf('1.1.5.4',plain,[-(l1_group_1(804 ^ []))],extension(812 ^ 5)).
% 201.86/195.79  ncf('1.1.6',plain,[-(m2_relset_1(k1_latsubgr(804 ^ []), k1_group_3(804 ^ []), k1_zfmisc_1(u1_struct_0(804 ^ [])))), -(v3_struct_0(804 ^ [])), v3_group_1(804 ^ []), v4_group_1(804 ^ []), l1_group_1(804 ^ [])],extension(467 ^ 4,bind([[_146812], [804 ^ []]]))).
% 201.86/195.79  ncf('1.1.6.1',plain,[v3_struct_0(804 ^ [])],extension(806 ^ 5)).
% 201.86/195.79  ncf('1.1.6.2',plain,[-(v3_group_1(804 ^ []))],extension(808 ^ 5)).
% 201.86/195.79  ncf('1.1.6.3',plain,[-(v4_group_1(804 ^ []))],extension(810 ^ 5)).
% 201.86/195.79  ncf('1.1.6.4',plain,[-(l1_group_1(804 ^ []))],extension(812 ^ 5)).
% 201.86/195.79  ncf('1.1.7',plain,[v3_struct_0(804 ^ [])],extension(806 ^ 2)).
% 201.86/195.79  ncf('1.1.8',plain,[-(v3_group_1(804 ^ []))],extension(808 ^ 2)).
% 201.86/195.79  ncf('1.1.9',plain,[-(v4_group_1(804 ^ []))],extension(810 ^ 2)).
% 201.86/195.79  ncf('1.1.10',plain,[-(l1_group_1(804 ^ []))],extension(812 ^ 2)).
% 201.86/195.79  %-----------------------------------------------------
% 201.86/195.79  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------