TSTP Solution File: CAT033+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 10:12:50 EDT 2023

% Result   : Theorem 44.31s 42.88s
% Output   : Proof 44.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 20:31:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 44.31/42.88  
% 44.31/42.88  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 44.31/42.88  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.31/42.88  %-----------------------------------------------------
% 44.31/42.88  ncf(matrix, plain, [(853 ^ _167706) ^ [] : [-(l1_cat_1(849 ^ []))], (856 ^ _167706) ^ [] : [-(m1_subset_1(854 ^ [], u1_cat_1(849 ^ [])))], (858 ^ _167706) ^ [] : [m2_cat_1(k20_ens_1(849 ^ [], 854 ^ []), 849 ^ [], k1_yoneda_1(849 ^ []))], (851 ^ _167706) ^ [] : [-(v2_cat_1(849 ^ []))], !, (248 ^ _139797) ^ [_148127, _148129] : [_148129 = _148127, -(u6_cat_1(_148129) = u6_cat_1(_148127))], (680 ^ _139797) ^ [_162218] : [687 ^ _139797 : [(690 ^ _139797) ^ [] : [-(l1_cat_1(k1_yoneda_1(_162218)))], (688 ^ _139797) ^ [] : [-(v2_cat_1(k1_yoneda_1(_162218)))]], v2_cat_1(_162218), l1_cat_1(_162218)], (480 ^ _139797) ^ [] : [true___, -(true___)], (486 ^ _139797) ^ [] : [true___, -(true___)], (779 ^ _139797) ^ [] : [-(v1_xboole_0(777 ^ []))], (353 ^ _139797) ^ [_151771, _151773, _151775, _151777, _151779, _151781] : [404 ^ _139797 : [(405 ^ _139797) ^ [_153337, _153339, _153341, _153343, _153345, _153347] : [g1_cat_1(_151781, _151779, _151777, _151775, _151773, _151771) = g1_cat_1(_153347, _153345, _153343, _153341, _153339, _153337), 408 ^ _139797 : [(411 ^ _139797) ^ [] : [-(_151779 = _153345)], (409 ^ _139797) ^ [] : [-(_151781 = _153347)], (419 ^ _139797) ^ [] : [-(_151771 = _153337)], (415 ^ _139797) ^ [] : [-(_151775 = _153341)], (417 ^ _139797) ^ [] : [-(_151773 = _153339)], (413 ^ _139797) ^ [] : [-(_151777 = _153343)]]]], -(v1_xboole_0(_151781)), -(v1_xboole_0(_151779)), v1_funct_1(_151777), v1_funct_2(_151777, _151779, _151781), m1_relset_1(_151777, _151779, _151781), v1_funct_1(_151775), v1_funct_2(_151775, _151779, _151781), m1_relset_1(_151775, _151779, _151781), v1_funct_1(_151773), m1_relset_1(_151773, k2_zfmisc_1(_151779, _151779), _151779), v1_funct_1(_151771), v1_funct_2(_151771, _151781, _151779), m1_relset_1(_151771, _151781, _151779)], (768 ^ _139797) ^ [_164846] : [v1_xboole_0(k17_ens_1(_164846)), v2_cat_1(_164846), l1_cat_1(_164846)], (323 ^ _139797) ^ [_150850] : [334 ^ _139797 : [(339 ^ _139797) ^ [] : [-(v2_funct_1(_150850))], (337 ^ _139797) ^ [] : [-(v1_funct_1(_150850))], (335 ^ _139797) ^ [] : [-(v1_relat_1(_150850))]], v1_relat_1(_150850), v1_xboole_0(_150850), v1_funct_1(_150850)], (321 ^ _139797) ^ [] : [-(v2_funct_1(315 ^ []))], (800 ^ _139797) ^ [_165806, _165808] : [r1_tarski(_165808, _165806), -(m1_subset_1(_165808, k1_zfmisc_1(_165806)))], (138 ^ _139797) ^ [_144319, _144321, _144323, _144325] : [-(r1_tarski(_144323, _144319)), r1_tarski(_144325, _144321), _144325 = _144323, _144321 = _144319], (294 ^ _139797) ^ [_149794, _149796] : [_149796 = _149794, -(u1_cat_1(_149796) = u1_cat_1(_149794))], (317 ^ _139797) ^ [] : [-(v1_relat_1(315 ^ []))], (349 ^ _139797) ^ [] : [-(v1_xboole_0(345 ^ []))], (128 ^ _139797) ^ [_143996, _143998] : [-(v1_xboole_0(_143996)), _143998 = _143996, v1_xboole_0(_143998)], (605 ^ _139797) ^ [_159928, _159930] : [r2_hidden(_159930, _159928), -(m1_subset_1(_159930, _159928))], (264 ^ _139797) ^ [_148704, _148706] : [_148706 = _148704, -(k2_ens_1(_148706) = k2_ens_1(_148704))], (542 ^ _139797) ^ [_157987] : [l1_cat_1(_157987), v1_cat_1(_157987), -(_157987 = g1_cat_1(u1_cat_1(_157987), u2_cat_1(_157987), u3_cat_1(_157987), u4_cat_1(_157987), u5_cat_1(_157987), u6_cat_1(_157987)))], (647 ^ _139797) ^ [_161279] : [-(m1_subset_1(645 ^ [_161279], _161279))], (631 ^ _139797) ^ [_160789, _160791] : [v1_xboole_0(_160791), -(_160791 = _160789), v1_xboole_0(_160789)], (344 ^ _139797) ^ [] : [-(v1_funct_1(340 ^ []))], (828 ^ _139797) ^ [_166666] : [-(v1_xboole_0(_166666)), 831 ^ _139797 : [(832 ^ _139797) ^ [_166831] : [v2_cat_1(_166831), l1_cat_1(_166831), 839 ^ _139797 : [(840 ^ _139797) ^ [_167071] : [m1_subset_1(_167071, u1_cat_1(_166831)), r1_tarski(k17_ens_1(_166831), _166666), -(m2_cat_1(k20_ens_1(_166831, _167071), _166831, k12_ens_1(_166666)))]]]]], (579 ^ _139797) ^ [] : [true___, -(true___)], (760 ^ _139797) ^ [_164578] : [-(v1_xboole_0(_164578)), 763 ^ _139797 : [(766 ^ _139797) ^ [] : [-(v2_cat_1(k12_ens_1(_164578)))], (764 ^ _139797) ^ [] : [-(v1_cat_1(k12_ens_1(_164578)))]]], (4 ^ _139797) ^ [_140028, _140030] : [_140030 = _140028, -(_140028 = _140030)], (553 ^ _139797) ^ [_158337, _158339] : [-(m2_relset_1(551 ^ [_158337, _158339], _158339, _158337))], (58 ^ _139797) ^ [_141800, _141802, _141804, _141806, _141808, _141810] : [-(v1_funct_2(_141808, _141804, _141800)), v1_funct_2(_141810, _141806, _141802), _141810 = _141808, _141806 = _141804, _141802 = _141800], (692 ^ _139797) ^ [_162580, _162582] : [703 ^ _139797 : [(708 ^ _139797) ^ [] : [-(m2_relset_1(k20_ens_1(_162582, _162580), u2_cat_1(_162582), k2_ens_1(k17_ens_1(_162582))))], (706 ^ _139797) ^ [] : [-(v1_funct_2(k20_ens_1(_162582, _162580), u2_cat_1(_162582), k2_ens_1(k17_ens_1(_162582))))], (704 ^ _139797) ^ [] : [-(v1_funct_1(k20_ens_1(_162582, _162580)))]], v2_cat_1(_162582), l1_cat_1(_162582), m1_subset_1(_162580, u1_cat_1(_162582))], (649 ^ _139797) ^ [_161391, _161393] : [-(m2_cat_1(664 ^ [_161391, _161393], _161393, _161391)), v2_cat_1(_161393), l1_cat_1(_161393), v2_cat_1(_161391), l1_cat_1(_161391)], (561 ^ _139797) ^ [_158669, _158671, _158673] : [m1_relset_1(_158669, _158673, _158671), -(m2_relset_1(_158669, _158673, _158671))], (520 ^ _139797) ^ [_157175] : [l1_cat_1(_157175), 523 ^ _139797 : [(528 ^ _139797) ^ [] : [-(m2_relset_1(u6_cat_1(_157175), u1_cat_1(_157175), u2_cat_1(_157175)))], (526 ^ _139797) ^ [] : [-(v1_funct_2(u6_cat_1(_157175), u1_cat_1(_157175), u2_cat_1(_157175)))], (524 ^ _139797) ^ [] : [-(v1_funct_1(u6_cat_1(_157175)))]]], (567 ^ _139797) ^ [] : [true___, -(true___)], (282 ^ _139797) ^ [_149358, _149360] : [_149360 = _149358, -(k17_ens_1(_149360) = k17_ens_1(_149358))], (536 ^ _139797) ^ [_157790, _157792] : [r2_hidden(_157792, _157790), r2_hidden(_157790, _157792)], (342 ^ _139797) ^ [] : [-(v1_relat_1(340 ^ []))], (424 ^ _139797) ^ [_154323, _154325, _154327, _154329, _154331, _154333] : [475 ^ _139797 : [(478 ^ _139797) ^ [] : [-(l1_cat_1(g1_cat_1(_154333, _154331, _154329, _154327, _154325, _154323)))], (476 ^ _139797) ^ [] : [-(v1_cat_1(g1_cat_1(_154333, _154331, _154329, _154327, _154325, _154323)))]], -(v1_xboole_0(_154333)), -(v1_xboole_0(_154331)), v1_funct_1(_154329), v1_funct_2(_154329, _154331, _154333), m1_relset_1(_154329, _154331, _154333), v1_funct_1(_154327), v1_funct_2(_154327, _154331, _154333), m1_relset_1(_154327, _154331, _154333), v1_funct_1(_154325), m1_relset_1(_154325, k2_zfmisc_1(_154331, _154331), _154331), v1_funct_1(_154323), v1_funct_2(_154323, _154333, _154331), m1_relset_1(_154323, _154333, _154331)], (597 ^ _139797) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (236 ^ _139797) ^ [_147691, _147693] : [_147693 = _147691, -(u4_cat_1(_147693) = u4_cat_1(_147691))], (784 ^ _139797) ^ [_165313, _165315] : [m1_subset_1(_165315, _165313), -(v1_xboole_0(_165313)), -(r2_hidden(_165315, _165313))], (300 ^ _139797) ^ [_150040, _150042, _150044, _150046] : [-(k20_ens_1(_150046, _150042) = k20_ens_1(_150044, _150040)), _150046 = _150044, _150042 = _150040], (40 ^ _139797) ^ [_141191, _141193, _141195, _141197, _141199, _141201] : [-(m1_relset_1(_141199, _141195, _141191)), m1_relset_1(_141201, _141197, _141193), _141201 = _141199, _141197 = _141195, _141193 = _141191], (812 ^ _139797) ^ [_166210, _166212] : [r2_hidden(_166212, _166210), v1_xboole_0(_166210)], (2 ^ _139797) ^ [_139921] : [-(_139921 = _139921)], (710 ^ _139797) ^ [] : [true___, -(true___)], (276 ^ _139797) ^ [_149140, _149142] : [_149142 = _149140, -(k1_zfmisc_1(_149142) = k1_zfmisc_1(_149140))], (722 ^ _139797) ^ [_163399, _163401] : [737 ^ _139797 : [(738 ^ _139797) ^ [_163817] : [m2_cat_1(_163817, _163401, _163399), 741 ^ _139797 : [(746 ^ _139797) ^ [] : [-(m2_relset_1(_163817, u2_cat_1(_163401), u2_cat_1(_163399)))], (744 ^ _139797) ^ [] : [-(v1_funct_2(_163817, u2_cat_1(_163401), u2_cat_1(_163399)))], (742 ^ _139797) ^ [] : [-(v1_funct_1(_163817))]]]], v2_cat_1(_163401), l1_cat_1(_163401), v2_cat_1(_163399), l1_cat_1(_163399)], (30 ^ _139797) ^ [_140840, _140842] : [-(v1_relat_1(_140840)), _140842 = _140840, v1_relat_1(_140842)], (794 ^ _139797) ^ [_165640, _165642] : [m1_subset_1(_165642, k1_zfmisc_1(_165640)), -(r1_tarski(_165642, _165640))], (611 ^ _139797) ^ [_160152, _160154, _160156] : [-(m1_subset_1(_160156, _160152)), r2_hidden(_160156, _160154), m1_subset_1(_160154, k1_zfmisc_1(_160152))], (172 ^ _139797) ^ [_145353, _145355, _145357, _145359] : [-(m1_subset_1(_145357, _145353)), m1_subset_1(_145359, _145355), _145359 = _145357, _145355 = _145353], (641 ^ _139797) ^ [_161071, _161073] : [-(r1_tarski(_161073, _161073))], (94 ^ _139797) ^ [_142962, _142964] : [-(v1_funct_1(_142962)), _142964 = _142962, v1_funct_1(_142964)], (76 ^ _139797) ^ [_142409, _142411, _142413, _142415, _142417, _142419] : [-(m2_relset_1(_142417, _142413, _142409)), m2_relset_1(_142419, _142415, _142411), _142419 = _142417, _142415 = _142413, _142411 = _142409], (162 ^ _139797) ^ [_145030, _145032] : [-(l1_cat_1(_145030)), _145032 = _145030, l1_cat_1(_145032)], (668 ^ _139797) ^ [_161906] : [-(v1_xboole_0(_161906)), -(l1_cat_1(k12_ens_1(_161906)))], (555 ^ _139797) ^ [_158497, _158499, _158501] : [m2_relset_1(_158497, _158501, _158499), -(m1_relset_1(_158497, _158501, _158499))], (591 ^ _139797) ^ [_159476] : [l1_cat_1(_159476), v1_xboole_0(u2_cat_1(_159476))], (351 ^ _139797) ^ [] : [-(v1_funct_1(345 ^ []))], (319 ^ _139797) ^ [] : [-(v1_funct_1(315 ^ []))], (502 ^ _139797) ^ [_156525] : [l1_cat_1(_156525), 505 ^ _139797 : [(510 ^ _139797) ^ [] : [-(m2_relset_1(u4_cat_1(_156525), u2_cat_1(_156525), u1_cat_1(_156525)))], (508 ^ _139797) ^ [] : [-(v1_funct_2(u4_cat_1(_156525), u2_cat_1(_156525), u1_cat_1(_156525)))], (506 ^ _139797) ^ [] : [-(v1_funct_1(u4_cat_1(_156525)))]]], (270 ^ _139797) ^ [_148922, _148924] : [_148924 = _148922, -(u2_cat_1(_148924) = u2_cat_1(_148922))], (422 ^ _139797) ^ [_154150, _154152] : [-(m1_relset_1(420 ^ [_154150, _154152], _154152, _154150))], (716 ^ _139797) ^ [] : [true___, -(true___)], (621 ^ _139797) ^ [_160479, _160481, _160483] : [r2_hidden(_160483, _160481), m1_subset_1(_160481, k1_zfmisc_1(_160479)), v1_xboole_0(_160479)], (186 ^ _139797) ^ [_145805, _145807, _145809, _145811, _145813, _145815] : [-(m2_cat_1(_145813, _145809, _145805)), m2_cat_1(_145815, _145811, _145807), _145815 = _145813, _145811 = _145809, _145807 = _145805], (254 ^ _139797) ^ [_148373, _148375, _148377, _148379] : [-(k2_zfmisc_1(_148379, _148375) = k2_zfmisc_1(_148377, _148373)), _148379 = _148377, _148375 = _148373], (748 ^ _139797) ^ [_164201] : [l1_cat_1(_164201), v1_xboole_0(u1_cat_1(_164201))], (573 ^ _139797) ^ [] : [true___, -(true___)], (754 ^ _139797) ^ [_164392] : [v1_xboole_0(_164392), -(v1_funct_1(_164392))], (644 ^ _139797) ^ [] : [-(l1_cat_1(642 ^ []))], (230 ^ _139797) ^ [_147473, _147475] : [_147475 = _147473, -(u3_cat_1(_147475) = u3_cat_1(_147473))], (20 ^ _139797) ^ [_140545, _140547] : [-(v2_funct_1(_140545)), _140547 = _140545, v2_funct_1(_140547)], (585 ^ _139797) ^ [_159262, _159264, _159266] : [m2_relset_1(_159262, _159266, _159264), -(m1_subset_1(_159262, k1_zfmisc_1(k2_zfmisc_1(_159266, _159264))))], (782 ^ _139797) ^ [] : [v1_xboole_0(780 ^ [])], (204 ^ _139797) ^ [_146530, _146532, _146534, _146536, _146538, _146540, _146542, _146544, _146546, _146548, _146550, _146552] : [-(g1_cat_1(_146552, _146548, _146544, _146540, _146536, _146532) = g1_cat_1(_146550, _146546, _146542, _146538, _146534, _146530)), _146552 = _146550, _146548 = _146546, _146544 = _146542, _146540 = _146538, _146536 = _146534, _146532 = _146530], (104 ^ _139797) ^ [_143257, _143259] : [-(v1_cat_1(_143257)), _143259 = _143257, v1_cat_1(_143259)], (152 ^ _139797) ^ [_144735, _144737] : [-(v2_cat_1(_144735)), _144737 = _144735, v2_cat_1(_144737)], (288 ^ _139797) ^ [_149576, _149578] : [_149578 = _149576, -(k12_ens_1(_149578) = k12_ens_1(_149576))], (347 ^ _139797) ^ [] : [-(v1_relat_1(345 ^ []))], (599 ^ _139797) ^ [_159720] : [-(v1_xboole_0(_159720)), v1_xboole_0(k2_ens_1(_159720))], (818 ^ _139797) ^ [_166403] : [-(k1_yoneda_1(_166403) = k12_ens_1(k17_ens_1(_166403))), v2_cat_1(_166403), l1_cat_1(_166403)], (512 ^ _139797) ^ [_156888] : [l1_cat_1(_156888), 515 ^ _139797 : [(518 ^ _139797) ^ [] : [-(m2_relset_1(u5_cat_1(_156888), k2_zfmisc_1(u2_cat_1(_156888), u2_cat_1(_156888)), u2_cat_1(_156888)))], (516 ^ _139797) ^ [] : [-(v1_funct_1(u5_cat_1(_156888)))]]], (806 ^ _139797) ^ [_166008] : [v1_xboole_0(_166008), -(_166008 = k1_xboole_0)], (530 ^ _139797) ^ [_157566, _157568, _157570] : [m1_subset_1(_157566, k1_zfmisc_1(k2_zfmisc_1(_157570, _157568))), -(v1_relat_1(_157566))], (674 ^ _139797) ^ [] : [true___, -(true___)], (310 ^ _139797) ^ [_150351, _150353] : [_150353 = _150351, -(k1_yoneda_1(_150353) = k1_yoneda_1(_150351))], (10 ^ _139797) ^ [_140232, _140234, _140236] : [-(_140236 = _140232), _140236 = _140234, _140234 = _140232], (114 ^ _139797) ^ [_143580, _143582, _143584, _143586] : [-(r2_hidden(_143584, _143580)), r2_hidden(_143586, _143582), _143586 = _143584, _143582 = _143580], (242 ^ _139797) ^ [_147909, _147911] : [_147911 = _147909, -(u5_cat_1(_147911) = u5_cat_1(_147909))], (492 ^ _139797) ^ [_156162] : [l1_cat_1(_156162), 495 ^ _139797 : [(500 ^ _139797) ^ [] : [-(m2_relset_1(u3_cat_1(_156162), u2_cat_1(_156162), u1_cat_1(_156162)))], (498 ^ _139797) ^ [] : [-(v1_funct_2(u3_cat_1(_156162), u2_cat_1(_156162), u1_cat_1(_156162)))], (496 ^ _139797) ^ [] : [-(v1_funct_1(u3_cat_1(_156162)))]]]], input).
% 44.31/42.88  ncf('1',plain,[m2_cat_1(k20_ens_1(849 ^ [], 854 ^ []), 849 ^ [], k1_yoneda_1(849 ^ []))],start(858 ^ 0)).
% 44.31/42.88  ncf('1.1',plain,[-(m2_cat_1(k20_ens_1(849 ^ [], 854 ^ []), 849 ^ [], k1_yoneda_1(849 ^ []))), m2_cat_1(k20_ens_1(849 ^ [], 854 ^ []), 849 ^ [], k12_ens_1(k17_ens_1(849 ^ []))), k20_ens_1(849 ^ [], 854 ^ []) = k20_ens_1(849 ^ [], 854 ^ []), 849 ^ [] = 849 ^ [], k12_ens_1(k17_ens_1(849 ^ [])) = k1_yoneda_1(849 ^ [])],extension(186 ^ 1,bind([[_145805, _145807, _145809, _145811, _145813, _145815], [k1_yoneda_1(849 ^ []), k12_ens_1(k17_ens_1(849 ^ [])), 849 ^ [], 849 ^ [], k20_ens_1(849 ^ [], 854 ^ []), k20_ens_1(849 ^ [], 854 ^ [])]]))).
% 44.31/42.88  ncf('1.1.1',plain,[-(m2_cat_1(k20_ens_1(849 ^ [], 854 ^ []), 849 ^ [], k12_ens_1(k17_ens_1(849 ^ [])))), 840 : m1_subset_1(854 ^ [], u1_cat_1(849 ^ [])), 840 : r1_tarski(k17_ens_1(849 ^ []), k17_ens_1(849 ^ [])), 840 : v2_cat_1(849 ^ []), 840 : l1_cat_1(849 ^ []), 832 : -(v1_xboole_0(k17_ens_1(849 ^ [])))],extension(828 ^ 2,bind([[_166666, _166831, _167071], [k17_ens_1(849 ^ []), 849 ^ [], 854 ^ []]]))).
% 44.31/42.88  ncf('1.1.1.1',plain,[-(m1_subset_1(854 ^ [], u1_cat_1(849 ^ [])))],extension(856 ^ 7)).
% 44.31/42.88  ncf('1.1.1.2',plain,[-(r1_tarski(k17_ens_1(849 ^ []), k17_ens_1(849 ^ [])))],extension(641 ^ 7,bind([[_161071, _161073], [_99877, k17_ens_1(849 ^ [])]]))).
% 44.31/42.88  ncf('1.1.1.3',plain,[-(v2_cat_1(849 ^ []))],extension(851 ^ 5)).
% 44.31/42.88  ncf('1.1.1.4',plain,[-(l1_cat_1(849 ^ []))],extension(853 ^ 5)).
% 44.31/42.88  ncf('1.1.1.5',plain,[v1_xboole_0(k17_ens_1(849 ^ [])), v2_cat_1(849 ^ []), l1_cat_1(849 ^ [])],extension(768 ^ 3,bind([[_164846], [849 ^ []]]))).
% 44.31/42.88  ncf('1.1.1.5.1',plain,[-(v2_cat_1(849 ^ []))],extension(851 ^ 4)).
% 44.31/42.88  ncf('1.1.1.5.2',plain,[-(l1_cat_1(849 ^ []))],extension(853 ^ 4)).
% 44.31/42.88  ncf('1.1.2',plain,[-(k20_ens_1(849 ^ [], 854 ^ []) = k20_ens_1(849 ^ [], 854 ^ [])), 849 ^ [] = 849 ^ [], 854 ^ [] = 854 ^ []],extension(300 ^ 2,bind([[_150040, _150042, _150044, _150046], [854 ^ [], 854 ^ [], 849 ^ [], 849 ^ []]]))).
% 44.31/42.88  ncf('1.1.2.1',plain,[-(849 ^ [] = 849 ^ [])],extension(2 ^ 3,bind([[_139921], [849 ^ []]]))).
% 44.31/42.88  ncf('1.1.2.2',plain,[-(854 ^ [] = 854 ^ [])],extension(2 ^ 3,bind([[_139921], [854 ^ []]]))).
% 44.31/42.88  ncf('1.1.3',plain,[-(849 ^ [] = 849 ^ [])],extension(2 ^ 2,bind([[_139921], [849 ^ []]]))).
% 44.31/42.88  ncf('1.1.4',plain,[-(k12_ens_1(k17_ens_1(849 ^ [])) = k1_yoneda_1(849 ^ [])), k1_yoneda_1(849 ^ []) = k12_ens_1(k17_ens_1(849 ^ []))],extension(4 ^ 2,bind([[_140028, _140030], [k12_ens_1(k17_ens_1(849 ^ [])), k1_yoneda_1(849 ^ [])]]))).
% 44.31/42.88  ncf('1.1.4.1',plain,[-(k1_yoneda_1(849 ^ []) = k12_ens_1(k17_ens_1(849 ^ []))), v2_cat_1(849 ^ []), l1_cat_1(849 ^ [])],extension(818 ^ 3,bind([[_166403], [849 ^ []]]))).
% 44.31/42.88  ncf('1.1.4.1.1',plain,[-(v2_cat_1(849 ^ []))],extension(851 ^ 4)).
% 44.31/42.88  ncf('1.1.4.1.2',plain,[-(l1_cat_1(849 ^ []))],extension(853 ^ 4)).
% 44.31/42.88  %-----------------------------------------------------
% 44.31/42.88  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------