%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GRP645+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n002.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 11:16:26 EDT 2023

% Result   : Theorem 0.69s 1.37s
% Output   : Proof 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP645+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n002.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 02:08:35 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.69/1.37  
% 0.69/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.69/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/1.37  %-----------------------------------------------------
% 0.69/1.37  ncf(matrix, plain, [(998 ^ _148998) ^ [] : [v3_struct_0(996 ^ [])], (1000 ^ _148998) ^ [] : [-(v3_group_1(996 ^ []))], (1002 ^ _148998) ^ [] : [-(v4_group_1(996 ^ []))], (1004 ^ _148998) ^ [] : [-(l1_group_1(996 ^ []))], (1007 ^ _148998) ^ [] : [-(v1_group_1(1005 ^ []))], (1009 ^ _148998) ^ [] : [-(m1_group_2(1005 ^ [], 996 ^ []))], (1012 ^ _148998) ^ [] : [-(v1_group_1(1010 ^ []))], (1014 ^ _148998) ^ [] : [-(m1_group_2(1010 ^ [], 996 ^ []))], (1016 ^ _148998) ^ [] : [k1_funct_1(k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = k3_xboole_0(k1_funct_1(k1_latsubgr(996 ^ []), 1005 ^ []), k1_funct_1(k1_latsubgr(996 ^ []), 1010 ^ []))], (238 ^ _148998) ^ [_156687, _156689] : [_156689 = _156687, -(u1_group_1(_156689) = u1_group_1(_156687))], (244 ^ _148998) ^ [_156905, _156907] : [_156907 = _156905, -(k1_group_3(_156907) = k1_group_3(_156905))], (250 ^ _148998) ^ [_157151, _157153, _157155, _157157] : [-(k2_zfmisc_1(_157157, _157153) = k2_zfmisc_1(_157155, _157151)), _157157 = _157155, _157153 = _157151], (260 ^ _148998) ^ [_157510, _157512, _157514, _157516] : [-(g1_group_1(_157516, _157512) = g1_group_1(_157514, _157510)), _157516 = _157514, _157512 = _157510], (270 ^ _148998) ^ [_157897, _157899, _157901, _157903, _157905, _157907] : [-(k8_group_2(_157907, _157903, _157899) = k8_group_2(_157905, _157901, _157897)), _157907 = _157905, _157903 = _157901, _157899 = _157897], (284 ^ _148998) ^ [_158357, _158359] : [_158359 = _158357, -(u1_struct_0(_158359) = u1_struct_0(_158357))], (290 ^ _148998) ^ [_158575, _158577] : [_158577 = _158575, -(k1_zfmisc_1(_158577) = k1_zfmisc_1(_158575))], (296 ^ _148998) ^ [_158849, _158851, _158853, _158855, _158857, _158859] : [-(k9_group_2(_158859, _158855, _158851) = k9_group_2(_158857, _158853, _158849)), _158859 = _158857, _158855 = _158853, _158851 = _158849], (310 ^ _148998) ^ [_159337, _159339, _159341, _159343] : [-(k3_xboole_0(_159343, _159339) = k3_xboole_0(_159341, _159337)), _159343 = _159341, _159339 = _159337], (330 ^ _148998) ^ [_160007, _160009] : [_160009 = _160007, -(k1_latsubgr(_160009) = k1_latsubgr(_160007))], (320 ^ _148998) ^ [_159696, _159698, _159700, _159702] : [-(k1_funct_1(_159702, _159698) = k1_funct_1(_159700, _159696)), _159702 = _159700, _159698 = _159696], (2 ^ _148998) ^ [_149142] : [-(_149142 = _149142)], (4 ^ _148998) ^ [_149249, _149251] : [_149251 = _149249, -(_149249 = _149251)], (10 ^ _148998) ^ [_149453, _149455, _149457] : [-(_149457 = _149453), _149457 = _149455, _149455 = _149453], (20 ^ _148998) ^ [_149822, _149824, _149826, _149828, _149830, _149832] : [-(v1_partfun1(_149830, _149826, _149822)), v1_partfun1(_149832, _149828, _149824), _149832 = _149830, _149828 = _149826, _149824 = _149822], (38 ^ _148998) ^ [_150431, _150433, _150435, _150437, _150439, _150441] : [-(v1_funct_2(_150439, _150435, _150431)), v1_funct_2(_150441, _150437, _150433), _150441 = _150439, _150437 = _150435, _150433 = _150431], (56 ^ _148998) ^ [_150984, _150986] : [-(v1_relat_1(_150984)), _150986 = _150984, v1_relat_1(_150986)], (66 ^ _148998) ^ [_151279, _151281] : [-(v1_funct_1(_151279)), _151281 = _151279, v1_funct_1(_151281)], (76 ^ _148998) ^ [_151574, _151576] : [-(l1_struct_0(_151574)), _151576 = _151574, l1_struct_0(_151576)], (86 ^ _148998) ^ [_151925, _151927, _151929, _151931, _151933, _151935] : [-(m2_relset_1(_151933, _151929, _151925)), m2_relset_1(_151935, _151931, _151927), _151935 = _151933, _151931 = _151929, _151927 = _151925], (104 ^ _148998) ^ [_152534, _152536, _152538, _152540, _152542, _152544] : [-(m1_relset_1(_152542, _152538, _152534)), m1_relset_1(_152544, _152540, _152536), _152544 = _152542, _152540 = _152538, _152536 = _152534], (122 ^ _148998) ^ [_153115, _153117, _153119, _153121] : [-(r1_tarski(_153119, _153115)), r1_tarski(_153121, _153117), _153121 = _153119, _153117 = _153115], (136 ^ _148998) ^ [_153559, _153561, _153563, _153565] : [-(m1_subset_1(_153563, _153559)), m1_subset_1(_153565, _153561), _153565 = _153563, _153561 = _153559], (150 ^ _148998) ^ [_154003, _154005, _154007, _154009] : [-(r2_hidden(_154007, _154003)), r2_hidden(_154009, _154005), _154009 = _154007, _154005 = _154003], (164 ^ _148998) ^ [_154419, _154421] : [-(v1_xboole_0(_154419)), _154421 = _154419, v1_xboole_0(_154421)], (174 ^ _148998) ^ [_154714, _154716] : [-(v3_struct_0(_154714)), _154716 = _154714, v3_struct_0(_154716)], (184 ^ _148998) ^ [_155009, _155011] : [-(v3_group_1(_155009)), _155011 = _155009, v3_group_1(_155011)], (194 ^ _148998) ^ [_155304, _155306] : [-(v4_group_1(_155304)), _155306 = _155304, v4_group_1(_155306)], (204 ^ _148998) ^ [_155599, _155601] : [-(l1_group_1(_155599)), _155601 = _155599, l1_group_1(_155601)], (214 ^ _148998) ^ [_155894, _155896] : [-(v1_group_1(_155894)), _155896 = _155894, v1_group_1(_155896)], (224 ^ _148998) ^ [_156197, _156199, _156201, _156203] : [-(m1_group_2(_156201, _156197)), m1_group_2(_156203, _156199), _156203 = _156201, _156199 = _156197], (336 ^ _148998) ^ [_160257] : [l1_group_1(_160257), v1_group_1(_160257), -(_160257 = g1_group_1(u1_struct_0(_160257), u1_group_1(_160257)))], (346 ^ _148998) ^ [_160556, _160558] : [r2_hidden(_160558, _160556), r2_hidden(_160556, _160558)], (352 ^ _148998) ^ [_160781, _160783, _160785] : [m1_relset_1(_160781, _160785, _160783), 363 ^ _148998 : [(364 ^ _148998) ^ [] : [-(v1_funct_1(_160781))], (366 ^ _148998) ^ [] : [-(v1_funct_2(_160781, _160785, _160783))]], v1_funct_1(_160781), v1_partfun1(_160781, _160785, _160783)], (368 ^ _148998) ^ [_161276, _161278, _161280] : [m1_subset_1(_161276, k1_zfmisc_1(k2_zfmisc_1(_161280, _161278))), -(v1_relat_1(_161276))], (374 ^ _148998) ^ [_161500, _161502] : [-(v1_xboole_0(_161500)), 377 ^ _148998 : [(378 ^ _148998) ^ [_161664] : [m1_relset_1(_161664, _161502, _161500), 389 ^ _148998 : [(390 ^ _148998) ^ [] : [-(v1_funct_1(_161664))], (392 ^ _148998) ^ [] : [-(v1_partfun1(_161664, _161502, _161500))], (394 ^ _148998) ^ [] : [-(v1_funct_2(_161664, _161502, _161500))]], v1_funct_1(_161664), v1_funct_2(_161664, _161502, _161500)]]], (396 ^ _148998) ^ [_162232, _162234] : [-(v1_xboole_0(_162234)), -(v1_xboole_0(_162232)), 403 ^ _148998 : [(404 ^ _148998) ^ [_162493] : [m1_relset_1(_162493, _162234, _162232), 415 ^ _148998 : [(416 ^ _148998) ^ [] : [-(v1_funct_1(_162493))], (418 ^ _148998) ^ [] : [v1_xboole_0(_162493)], (420 ^ _148998) ^ [] : [-(v1_partfun1(_162493, _162234, _162232))], (422 ^ _148998) ^ [] : [-(v1_funct_2(_162493, _162234, _162232))]], v1_funct_1(_162493), v1_funct_2(_162493, _162234, _162232)]]], (424 ^ _148998) ^ [_163123, _163125] : [-(k3_xboole_0(_163125, _163123) = k3_xboole_0(_163123, _163125))], (426 ^ _148998) ^ [_163252, _163254, _163256] : [-(k9_group_2(_163256, _163254, _163252) = k9_group_2(_163256, _163252, _163254)), -(v3_struct_0(_163256)), v3_group_1(_163256), v4_group_1(_163256), l1_group_1(_163256), m1_group_2(_163254, _163256), m1_group_2(_163252, _163256)], (452 ^ _148998) ^ [_163930] : [-(v3_struct_0(_163930)), v3_group_1(_163930), v4_group_1(_163930), l1_group_1(_163930), 467 ^ _148998 : [(468 ^ _148998) ^ [_164367] : [v1_funct_1(_164367), v1_funct_2(_164367, k1_group_3(_163930), k1_zfmisc_1(u1_struct_0(_163930))), m2_relset_1(_164367, k1_group_3(_163930), k1_zfmisc_1(u1_struct_0(_163930))), 479 ^ _148998 : [(494 ^ _148998) ^ [] : [496 ^ _148998 : [(497 ^ _148998) ^ [] : [-(v1_group_1(495 ^ [_163930, _164367]))], (499 ^ _148998) ^ [] : [-(m1_group_2(495 ^ [_163930, _164367], _163930))], (501 ^ _148998) ^ [] : [k1_funct_1(_164367, 495 ^ [_163930, _164367]) = u1_struct_0(495 ^ [_163930, _164367])]], -(_164367 = k1_latsubgr(_163930))], (480 ^ _148998) ^ [] : [_164367 = k1_latsubgr(_163930), 483 ^ _148998 : [(484 ^ _148998) ^ [_164838] : [-(k1_funct_1(_164367, _164838) = u1_struct_0(_164838)), v1_group_1(_164838), m1_group_2(_164838, _163930)]]]]]]], (505 ^ _148998) ^ [_165549, _165551] : [516 ^ _148998 : [(517 ^ _148998) ^ [] : [-(v1_group_1(g1_group_1(_165551, _165549)))], (519 ^ _148998) ^ [] : [-(l1_group_1(g1_group_1(_165551, _165549)))]], v1_funct_1(_165549), v1_funct_2(_165549, k2_zfmisc_1(_165551, _165551), _165551), m1_relset_1(_165549, k2_zfmisc_1(_165551, _165551), _165551)], (521 ^ _148998) ^ [] : [true___, -(true___)], (527 ^ _148998) ^ [] : [true___, -(true___)], (533 ^ _148998) ^ [_166258] : [548 ^ _148998 : [(549 ^ _148998) ^ [] : [-(v1_funct_1(k1_latsubgr(_166258)))], (551 ^ _148998) ^ [] : [-(v1_funct_2(k1_latsubgr(_166258), k1_group_3(_166258), k1_zfmisc_1(u1_struct_0(_166258))))], (553 ^ _148998) ^ [] : [-(m2_relset_1(k1_latsubgr(_166258), k1_group_3(_166258), k1_zfmisc_1(u1_struct_0(_166258))))]], -(v3_struct_0(_166258)), v3_group_1(_166258), v4_group_1(_166258), l1_group_1(_166258)], (555 ^ _148998) ^ [] : [true___, -(true___)], (561 ^ _148998) ^ [] : [true___, -(true___)], (567 ^ _148998) ^ [] : [true___, -(true___)], (573 ^ _148998) ^ [] : [true___, -(true___)], (579 ^ _148998) ^ [_167385, _167387, _167389] : [602 ^ _148998 : [(603 ^ _148998) ^ [] : [-(v1_group_1(k8_group_2(_167389, _167387, _167385)))], (605 ^ _148998) ^ [] : [-(m1_group_2(k8_group_2(_167389, _167387, _167385), _167389))]], -(v3_struct_0(_167389)), v3_group_1(_167389), v4_group_1(_167389), l1_group_1(_167389), m1_group_2(_167387, _167389), m1_group_2(_167385, _167389)], (607 ^ _148998) ^ [_168166, _168168, _168170] : [630 ^ _148998 : [(631 ^ _148998) ^ [] : [-(v1_group_1(k9_group_2(_168170, _168168, _168166)))], (633 ^ _148998) ^ [] : [-(m1_group_2(k9_group_2(_168170, _168168, _168166), _168170))]], -(v3_struct_0(_168170)), v3_group_1(_168170), v4_group_1(_168170), l1_group_1(_168170), m1_group_2(_168168, _168170), m1_group_2(_168166, _168170)], (635 ^ _148998) ^ [_168919] : [l1_group_1(_168919), -(l1_struct_0(_168919))], (641 ^ _148998) ^ [] : [true___, -(true___)], (647 ^ _148998) ^ [_169224] : [658 ^ _148998 : [(659 ^ _148998) ^ [_169535] : [m1_group_2(_169535, _169224), 662 ^ _148998 : [(663 ^ _148998) ^ [] : [v3_struct_0(_169535)], (665 ^ _148998) ^ [] : [-(v3_group_1(_169535))], (667 ^ _148998) ^ [] : [-(l1_group_1(_169535))]]]], -(v3_struct_0(_169224)), v3_group_1(_169224), l1_group_1(_169224)], (669 ^ _148998) ^ [] : [true___, -(true___)], (675 ^ _148998) ^ [] : [true___, -(true___)], (681 ^ _148998) ^ [_170148, _170150, _170152] : [m2_relset_1(_170148, _170152, _170150), -(m1_subset_1(_170148, k1_zfmisc_1(k2_zfmisc_1(_170152, _170150))))], (687 ^ _148998) ^ [_170362] : [l1_group_1(_170362), 690 ^ _148998 : [(691 ^ _148998) ^ [] : [-(v1_funct_1(u1_group_1(_170362)))], (693 ^ _148998) ^ [] : [-(v1_funct_2(u1_group_1(_170362), k2_zfmisc_1(u1_struct_0(_170362), u1_struct_0(_170362)), u1_struct_0(_170362)))], (695 ^ _148998) ^ [] : [-(m2_relset_1(u1_group_1(_170362), k2_zfmisc_1(u1_struct_0(_170362), u1_struct_0(_170362)), u1_struct_0(_170362)))]]], (697 ^ _148998) ^ [] : [true___, -(true___)], (704 ^ _148998) ^ [] : [-(l1_group_1(702 ^ []))], (707 ^ _148998) ^ [] : [-(l1_struct_0(705 ^ []))], (709 ^ _148998) ^ [_171042] : [-(m1_group_2(720 ^ [_171042], _171042)), -(v3_struct_0(_171042)), v3_group_1(_171042), l1_group_1(_171042)], (725 ^ _148998) ^ [_171491, _171493] : [-(m1_relset_1(723 ^ [_171491, _171493], _171493, _171491))], (728 ^ _148998) ^ [_171618] : [-(m1_subset_1(726 ^ [_171618], _171618))], (731 ^ _148998) ^ [_171757, _171759] : [-(m2_relset_1(729 ^ [_171757, _171759], _171759, _171757))], (733 ^ _148998) ^ [_171860] : [v1_xboole_0(k1_group_3(_171860)), -(v3_struct_0(_171860)), v3_group_1(_171860), v4_group_1(_171860), l1_group_1(_171860)], (751 ^ _148998) ^ [_172303] : [v1_xboole_0(u1_struct_0(_172303)), -(v3_struct_0(_172303)), l1_struct_0(_172303)], (761 ^ _148998) ^ [_172564] : [v1_xboole_0(k1_zfmisc_1(_172564))], (763 ^ _148998) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (765 ^ _148998) ^ [_172725, _172727] : [v1_xboole_0(k2_zfmisc_1(_172727, _172725)), -(v1_xboole_0(_172727)), -(v1_xboole_0(_172725))], (775 ^ _148998) ^ [_173031, _173033] : [786 ^ _148998 : [(787 ^ _148998) ^ [_173391, _173393] : [g1_group_1(_173033, _173031) = g1_group_1(_173393, _173391), 790 ^ _148998 : [(791 ^ _148998) ^ [] : [-(_173033 = _173393)], (793 ^ _148998) ^ [] : [-(_173031 = _173391)]]]], v1_funct_1(_173031), v1_funct_2(_173031, k2_zfmisc_1(_173033, _173033), _173033), m1_relset_1(_173031, k2_zfmisc_1(_173033, _173033), _173033)], (795 ^ _148998) ^ [_173698, _173700] : [-(k3_xboole_0(_173700, _173700) = _173700)], (798 ^ _148998) ^ [_173874, _173876] : [-(m1_relset_1(796 ^ [_173874, _173876], _173876, _173874))], (800 ^ _148998) ^ [_173948, _173950] : [-(v1_relat_1(796 ^ [_173948, _173950]))], (802 ^ _148998) ^ [_174020, _174022] : [-(v1_funct_1(796 ^ [_174020, _174022]))], (804 ^ _148998) ^ [_174072, _174074] : [-(v1_funct_2(796 ^ [_174072, _174074], _174074, _174072))], (806 ^ _148998) ^ [_174181] : [-(v1_xboole_0(_174181)), 810 ^ _148998 : [(811 ^ _148998) ^ [] : [-(m1_subset_1(809 ^ [_174181], k1_zfmisc_1(_174181)))], (813 ^ _148998) ^ [] : [v1_xboole_0(809 ^ [_174181])]]], (816 ^ _148998) ^ [] : [-(v1_xboole_0(814 ^ []))], (819 ^ _148998) ^ [_174673, _174675] : [-(m1_relset_1(817 ^ [_174673, _174675], _174675, _174673))], (821 ^ _148998) ^ [_174747, _174749] : [-(v1_relat_1(817 ^ [_174747, _174749]))], (823 ^ _148998) ^ [_174799, _174801] : [-(v1_funct_1(817 ^ [_174799, _174801]))], (826 ^ _148998) ^ [_174955] : [-(m1_subset_1(824 ^ [_174955], k1_zfmisc_1(_174955)))], (828 ^ _148998) ^ [_175006] : [-(v1_xboole_0(824 ^ [_175006]))], (831 ^ _148998) ^ [] : [v1_xboole_0(829 ^ [])], (834 ^ _148998) ^ [] : [-(l1_struct_0(832 ^ []))], (836 ^ _148998) ^ [] : [v3_struct_0(832 ^ [])], (838 ^ _148998) ^ [_175345] : [846 ^ _148998 : [(847 ^ _148998) ^ [] : [-(m1_subset_1(845 ^ [_175345], k1_zfmisc_1(u1_struct_0(_175345))))], (849 ^ _148998) ^ [] : [v1_xboole_0(845 ^ [_175345])]], -(v3_struct_0(_175345)), l1_struct_0(_175345)], (851 ^ _148998) ^ [_175794, _175796, _175798] : [-(k9_group_2(_175798, _175796, _175794) = k8_group_2(_175798, _175796, _175794)), -(v3_struct_0(_175798)), v3_group_1(_175798), v4_group_1(_175798), l1_group_1(_175798), m1_group_2(_175796, _175798), m1_group_2(_175794, _175798)], (877 ^ _148998) ^ [_176529, _176531, _176533] : [m2_relset_1(_176529, _176533, _176531), -(m1_relset_1(_176529, _176533, _176531))], (883 ^ _148998) ^ [_176701, _176703, _176705] : [m1_relset_1(_176701, _176705, _176703), -(m2_relset_1(_176701, _176705, _176703))], (889 ^ _148998) ^ [_176908, _176910] : [-(r1_tarski(_176910, _176910))], (891 ^ _148998) ^ [_177017, _177019] : [r2_hidden(_177019, _177017), -(m1_subset_1(_177019, _177017))], (897 ^ _148998) ^ [_177213] : [-(v3_struct_0(_177213)), v3_group_1(_177213), v4_group_1(_177213), l1_group_1(_177213), 912 ^ _148998 : [(913 ^ _148998) ^ [_177636] : [v1_group_1(_177636), m1_group_2(_177636, _177213), 920 ^ _148998 : [(921 ^ _148998) ^ [_177886] : [-(u1_struct_0(k9_group_2(_177213, _177636, _177886)) = k3_xboole_0(k1_funct_1(k1_latsubgr(_177213), _177636), k1_funct_1(k1_latsubgr(_177213), _177886))), v1_group_1(_177886), m1_group_2(_177886, _177213)]]]]], (931 ^ _148998) ^ [_178224] : [-(k3_xboole_0(_178224, k1_xboole_0) = k1_xboole_0)], (933 ^ _148998) ^ [_178334, _178336] : [m1_subset_1(_178336, _178334), -(v1_xboole_0(_178334)), -(r2_hidden(_178336, _178334))], (943 ^ _148998) ^ [_178661, _178663] : [m1_subset_1(_178663, k1_zfmisc_1(_178661)), -(r1_tarski(_178663, _178661))], (949 ^ _148998) ^ [_178827, _178829] : [r1_tarski(_178829, _178827), -(m1_subset_1(_178829, k1_zfmisc_1(_178827)))], (955 ^ _148998) ^ [_179057, _179059, _179061] : [-(m1_subset_1(_179061, _179057)), r2_hidden(_179061, _179059), m1_subset_1(_179059, k1_zfmisc_1(_179057))], (965 ^ _148998) ^ [_179384, _179386, _179388] : [r2_hidden(_179388, _179386), m1_subset_1(_179386, k1_zfmisc_1(_179384)), v1_xboole_0(_179384)], (975 ^ _148998) ^ [_179680] : [v1_xboole_0(_179680), -(_179680 = k1_xboole_0)], (981 ^ _148998) ^ [_179882, _179884] : [r2_hidden(_179884, _179882), v1_xboole_0(_179882)], (987 ^ _148998) ^ [_180069, _180071] : [v1_xboole_0(_180071), -(_180071 = _180069), v1_xboole_0(_180069)]], input).
% 0.69/1.37  ncf('1',plain,[v3_struct_0(996 ^ [])],start(998 ^ 0)).
% 0.69/1.37  ncf('1.1',plain,[-(v3_struct_0(996 ^ [])), v3_group_1(996 ^ []), v4_group_1(996 ^ []), l1_group_1(996 ^ []), 468 : v1_funct_1(k1_latsubgr(996 ^ [])), 468 : v1_funct_2(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ []))), 468 : m2_relset_1(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ []))), 480 : k1_latsubgr(996 ^ []) = k1_latsubgr(996 ^ []), 484 : -(k1_funct_1(k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = u1_struct_0(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ []))), 484 : v1_group_1(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])), 484 : m1_group_2(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ []), 996 ^ [])],extension(452 ^ 1,bind([[_163930, _164367, _164838], [996 ^ [], k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])]]))).
% 0.69/1.37  ncf('1.1.1',plain,[-(v3_group_1(996 ^ []))],extension(1000 ^ 2)).
% 0.69/1.37  ncf('1.1.2',plain,[-(v4_group_1(996 ^ []))],extension(1002 ^ 2)).
% 0.69/1.37  ncf('1.1.3',plain,[-(l1_group_1(996 ^ []))],extension(1004 ^ 2)).
% 0.69/1.37  ncf('1.1.4',plain,[-(v1_funct_1(k1_latsubgr(996 ^ []))), -(v3_struct_0(996 ^ [])), v3_group_1(996 ^ []), v4_group_1(996 ^ []), l1_group_1(996 ^ [])],extension(533 ^ 4,bind([[_166258], [996 ^ []]]))).
% 0.69/1.37  ncf('1.1.4.1',plain,[v3_struct_0(996 ^ [])],reduction('1')).
% 0.69/1.37  ncf('1.1.4.2',plain,[-(v3_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.4.3',plain,[-(v4_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.4.4',plain,[-(l1_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.5',plain,[-(v1_funct_2(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ [])))), v1_funct_2(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ []))), k1_latsubgr(996 ^ []) = k1_latsubgr(996 ^ []), k1_group_3(996 ^ []) = k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ [])) = k1_zfmisc_1(u1_struct_0(996 ^ []))],extension(38 ^ 4,bind([[_150431, _150433, _150435, _150437, _150439, _150441], [k1_zfmisc_1(u1_struct_0(996 ^ [])), k1_zfmisc_1(u1_struct_0(996 ^ [])), k1_group_3(996 ^ []), k1_group_3(996 ^ []), k1_latsubgr(996 ^ []), k1_latsubgr(996 ^ [])]]))).
% 0.69/1.37  ncf('1.1.5.1',plain,[-(v1_funct_2(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ [])))), -(v3_struct_0(996 ^ [])), v3_group_1(996 ^ []), v4_group_1(996 ^ []), l1_group_1(996 ^ [])],extension(533 ^ 5,bind([[_166258], [996 ^ []]]))).
% 0.69/1.37  ncf('1.1.5.1.1',plain,[v3_struct_0(996 ^ [])],reduction('1')).
% 0.69/1.37  ncf('1.1.5.1.2',plain,[-(v3_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.5.1.3',plain,[-(v4_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.5.1.4',plain,[-(l1_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.5.2',plain,[-(k1_latsubgr(996 ^ []) = k1_latsubgr(996 ^ []))],extension(2 ^ 5,bind([[_149142], [k1_latsubgr(996 ^ [])]]))).
% 0.69/1.37  ncf('1.1.5.3',plain,[-(k1_group_3(996 ^ []) = k1_group_3(996 ^ []))],extension(2 ^ 5,bind([[_149142], [k1_group_3(996 ^ [])]]))).
% 0.69/1.37  ncf('1.1.5.4',plain,[-(k1_zfmisc_1(u1_struct_0(996 ^ [])) = k1_zfmisc_1(u1_struct_0(996 ^ [])))],extension(2 ^ 5,bind([[_149142], [k1_zfmisc_1(u1_struct_0(996 ^ []))]]))).
% 0.69/1.37  ncf('1.1.6',plain,[-(m2_relset_1(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ [])))), m2_relset_1(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ []))), k1_latsubgr(996 ^ []) = k1_latsubgr(996 ^ []), k1_group_3(996 ^ []) = k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ [])) = k1_zfmisc_1(u1_struct_0(996 ^ []))],extension(86 ^ 4,bind([[_151925, _151927, _151929, _151931, _151933, _151935], [k1_zfmisc_1(u1_struct_0(996 ^ [])), k1_zfmisc_1(u1_struct_0(996 ^ [])), k1_group_3(996 ^ []), k1_group_3(996 ^ []), k1_latsubgr(996 ^ []), k1_latsubgr(996 ^ [])]]))).
% 0.69/1.37  ncf('1.1.6.1',plain,[-(m2_relset_1(k1_latsubgr(996 ^ []), k1_group_3(996 ^ []), k1_zfmisc_1(u1_struct_0(996 ^ [])))), -(v3_struct_0(996 ^ [])), v3_group_1(996 ^ []), v4_group_1(996 ^ []), l1_group_1(996 ^ [])],extension(533 ^ 5,bind([[_166258], [996 ^ []]]))).
% 0.69/1.37  ncf('1.1.6.1.1',plain,[v3_struct_0(996 ^ [])],reduction('1')).
% 0.69/1.37  ncf('1.1.6.1.2',plain,[-(v3_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.6.1.3',plain,[-(v4_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.6.1.4',plain,[-(l1_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.6.2',plain,[-(k1_latsubgr(996 ^ []) = k1_latsubgr(996 ^ []))],extension(2 ^ 5,bind([[_149142], [k1_latsubgr(996 ^ [])]]))).
% 0.69/1.37  ncf('1.1.6.3',plain,[-(k1_group_3(996 ^ []) = k1_group_3(996 ^ []))],extension(2 ^ 5,bind([[_149142], [k1_group_3(996 ^ [])]]))).
% 0.69/1.37  ncf('1.1.6.4',plain,[-(k1_zfmisc_1(u1_struct_0(996 ^ [])) = k1_zfmisc_1(u1_struct_0(996 ^ [])))],extension(2 ^ 5,bind([[_149142], [k1_zfmisc_1(u1_struct_0(996 ^ []))]]))).
% 0.69/1.37  ncf('1.1.7',plain,[-(k1_latsubgr(996 ^ []) = k1_latsubgr(996 ^ [])), 996 ^ [] = 996 ^ []],extension(330 ^ 6,bind([[_160007, _160009], [996 ^ [], 996 ^ []]]))).
% 0.69/1.37  ncf('1.1.7.1',plain,[-(996 ^ [] = 996 ^ [])],extension(2 ^ 7,bind([[_149142], [996 ^ []]]))).
% 0.69/1.37  ncf('1.1.8',plain,[k1_funct_1(k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = u1_struct_0(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])), -(k1_funct_1(k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = k3_xboole_0(k1_funct_1(k1_latsubgr(996 ^ []), 1005 ^ []), k1_funct_1(k1_latsubgr(996 ^ []), 1010 ^ []))), u1_struct_0(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = k3_xboole_0(k1_funct_1(k1_latsubgr(996 ^ []), 1005 ^ []), k1_funct_1(k1_latsubgr(996 ^ []), 1010 ^ []))],extension(10 ^ 8,bind([[_149453, _149455, _149457], [k3_xboole_0(k1_funct_1(k1_latsubgr(996 ^ []), 1005 ^ []), k1_funct_1(k1_latsubgr(996 ^ []), 1010 ^ [])), u1_struct_0(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])), k1_funct_1(k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ []))]]))).
% 0.69/1.37  ncf('1.1.8.1',plain,[k1_funct_1(k1_latsubgr(996 ^ []), k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = k3_xboole_0(k1_funct_1(k1_latsubgr(996 ^ []), 1005 ^ []), k1_funct_1(k1_latsubgr(996 ^ []), 1010 ^ []))],extension(1016 ^ 9)).
% 0.69/1.37  ncf('1.1.8.2',plain,[-(u1_struct_0(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ [])) = k3_xboole_0(k1_funct_1(k1_latsubgr(996 ^ []), 1005 ^ []), k1_funct_1(k1_latsubgr(996 ^ []), 1010 ^ []))), 921 : v1_group_1(1010 ^ []), 921 : m1_group_2(1010 ^ [], 996 ^ []), 921 : v1_group_1(1005 ^ []), 921 : m1_group_2(1005 ^ [], 996 ^ []), 913 : -(v3_struct_0(996 ^ [])), 913 : v3_group_1(996 ^ []), 913 : v4_group_1(996 ^ []), 913 : l1_group_1(996 ^ [])],extension(897 ^ 9,bind([[_177213, _177636, _177886], [996 ^ [], 1005 ^ [], 1010 ^ []]]))).
% 0.69/1.37  ncf('1.1.8.2.1',plain,[-(v1_group_1(1010 ^ []))],extension(1012 ^ 14)).
% 0.69/1.37  ncf('1.1.8.2.2',plain,[-(m1_group_2(1010 ^ [], 996 ^ []))],extension(1014 ^ 14)).
% 0.69/1.37  ncf('1.1.8.2.3',plain,[-(v1_group_1(1005 ^ []))],extension(1007 ^ 12)).
% 0.69/1.37  ncf('1.1.8.2.4',plain,[-(m1_group_2(1005 ^ [], 996 ^ []))],extension(1009 ^ 12)).
% 0.69/1.37  ncf('1.1.8.2.5',plain,[v3_struct_0(996 ^ [])],reduction('1')).
% 0.69/1.37  ncf('1.1.8.2.6',plain,[-(v3_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.8.2.7',plain,[-(v4_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.8.2.8',plain,[-(l1_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.9',plain,[-(v1_group_1(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ []))), -(v3_struct_0(996 ^ [])), v3_group_1(996 ^ []), v4_group_1(996 ^ []), l1_group_1(996 ^ []), m1_group_2(1005 ^ [], 996 ^ []), m1_group_2(1010 ^ [], 996 ^ [])],extension(607 ^ 8,bind([[_168166, _168168, _168170], [1010 ^ [], 1005 ^ [], 996 ^ []]]))).
% 0.69/1.37  ncf('1.1.9.1',plain,[v3_struct_0(996 ^ [])],reduction('1')).
% 0.69/1.37  ncf('1.1.9.2',plain,[-(v3_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.9.3',plain,[-(v4_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.9.4',plain,[-(l1_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.9.5',plain,[-(m1_group_2(1005 ^ [], 996 ^ []))],extension(1009 ^ 9)).
% 0.69/1.37  ncf('1.1.9.6',plain,[-(m1_group_2(1010 ^ [], 996 ^ []))],extension(1014 ^ 9)).
% 0.69/1.37  ncf('1.1.10',plain,[-(m1_group_2(k9_group_2(996 ^ [], 1005 ^ [], 1010 ^ []), 996 ^ [])), -(v3_struct_0(996 ^ [])), v3_group_1(996 ^ []), v4_group_1(996 ^ []), l1_group_1(996 ^ []), m1_group_2(1005 ^ [], 996 ^ []), m1_group_2(1010 ^ [], 996 ^ [])],extension(607 ^ 8,bind([[_168166, _168168, _168170], [1010 ^ [], 1005 ^ [], 996 ^ []]]))).
% 0.69/1.37  ncf('1.1.10.1',plain,[v3_struct_0(996 ^ [])],reduction('1')).
% 0.69/1.37  ncf('1.1.10.2',plain,[-(v3_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.10.3',plain,[-(v4_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.10.4',plain,[-(l1_group_1(996 ^ []))],lemmata('[1].x')).
% 0.69/1.37  ncf('1.1.10.5',plain,[-(m1_group_2(1005 ^ [], 996 ^ []))],extension(1009 ^ 9)).
% 0.69/1.37  ncf('1.1.10.6',plain,[-(m1_group_2(1010 ^ [], 996 ^ []))],extension(1014 ^ 9)).
% 0.69/1.37  %-----------------------------------------------------
% 0.69/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------