TSTP Solution File: GRP644+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n027.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 0.38s 1.37s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP644+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n027.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 01:57:36 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.38/1.37  
% 0.38/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  ncf(matrix, plain, [(869 ^ _125710) ^ [] : [v3_struct_0(867 ^ [])], (871 ^ _125710) ^ [] : [-(v3_group_1(867 ^ []))], (873 ^ _125710) ^ [] : [-(v4_group_1(867 ^ []))], (875 ^ _125710) ^ [] : [-(l1_group_1(867 ^ []))], (878 ^ _125710) ^ [] : [-(v1_group_1(876 ^ []))], (880 ^ _125710) ^ [] : [-(m1_group_2(876 ^ [], 867 ^ []))], (883 ^ _125710) ^ [] : [-(m1_subset_1(881 ^ [], u1_struct_0(867 ^ [])))], (885 ^ _125710) ^ [] : [-(r2_hidden(881 ^ [], k1_funct_1(k1_latsubgr(867 ^ []), 876 ^ [])))], (887 ^ _125710) ^ [] : [r2_hidden(k3_group_1(867 ^ [], 881 ^ []), k1_funct_1(k1_latsubgr(867 ^ []), 876 ^ []))], (252 ^ _125710) ^ [_133849, _133851] : [_133851 = _133849, -(u1_group_1(_133851) = u1_group_1(_133849))], (258 ^ _125710) ^ [_134067, _134069] : [_134069 = _134067, -(k1_group_3(_134069) = k1_group_3(_134067))], (264 ^ _125710) ^ [_134313, _134315, _134317, _134319] : [-(k2_zfmisc_1(_134319, _134315) = k2_zfmisc_1(_134317, _134313)), _134319 = _134317, _134315 = _134313], (274 ^ _125710) ^ [_134672, _134674, _134676, _134678] : [-(g1_group_1(_134678, _134674) = g1_group_1(_134676, _134672)), _134678 = _134676, _134674 = _134672], (284 ^ _125710) ^ [_135003, _135005] : [_135005 = _135003, -(k1_zfmisc_1(_135005) = k1_zfmisc_1(_135003))], (290 ^ _125710) ^ [_135221, _135223] : [_135223 = _135221, -(u1_struct_0(_135223) = u1_struct_0(_135221))], (296 ^ _125710) ^ [_135467, _135469, _135471, _135473] : [-(k3_group_1(_135473, _135469) = k3_group_1(_135471, _135467)), _135473 = _135471, _135469 = _135467], (316 ^ _125710) ^ [_136137, _136139] : [_136139 = _136137, -(k1_latsubgr(_136139) = k1_latsubgr(_136137))], (306 ^ _125710) ^ [_135826, _135828, _135830, _135832] : [-(k1_funct_1(_135832, _135828) = k1_funct_1(_135830, _135826)), _135832 = _135830, _135828 = _135826], (2 ^ _125710) ^ [_125854] : [-(_125854 = _125854)], (4 ^ _125710) ^ [_125961, _125963] : [_125963 = _125961, -(_125961 = _125963)], (10 ^ _125710) ^ [_126165, _126167, _126169] : [-(_126169 = _126165), _126169 = _126167, _126167 = _126165], (20 ^ _125710) ^ [_126534, _126536, _126538, _126540, _126542, _126544] : [-(v1_partfun1(_126542, _126538, _126534)), v1_partfun1(_126544, _126540, _126536), _126544 = _126542, _126540 = _126538, _126536 = _126534], (38 ^ _125710) ^ [_127143, _127145, _127147, _127149, _127151, _127153] : [-(v1_funct_2(_127151, _127147, _127143)), v1_funct_2(_127153, _127149, _127145), _127153 = _127151, _127149 = _127147, _127145 = _127143], (56 ^ _125710) ^ [_127696, _127698] : [-(v1_relat_1(_127696)), _127698 = _127696, v1_relat_1(_127698)], (66 ^ _125710) ^ [_127991, _127993] : [-(v1_funct_1(_127991)), _127993 = _127991, v1_funct_1(_127993)], (76 ^ _125710) ^ [_128286, _128288] : [-(l1_struct_0(_128286)), _128288 = _128286, l1_struct_0(_128288)], (86 ^ _125710) ^ [_128637, _128639, _128641, _128643, _128645, _128647] : [-(m2_relset_1(_128645, _128641, _128637)), m2_relset_1(_128647, _128643, _128639), _128647 = _128645, _128643 = _128641, _128639 = _128637], (104 ^ _125710) ^ [_129246, _129248, _129250, _129252, _129254, _129256] : [-(m1_relset_1(_129254, _129250, _129246)), m1_relset_1(_129256, _129252, _129248), _129256 = _129254, _129252 = _129250, _129248 = _129246], (122 ^ _125710) ^ [_129827, _129829, _129831, _129833] : [-(r1_tarski(_129831, _129827)), r1_tarski(_129833, _129829), _129833 = _129831, _129829 = _129827], (136 ^ _125710) ^ [_130271, _130273, _130275, _130277] : [-(r1_rlvect_1(_130275, _130271)), r1_rlvect_1(_130277, _130273), _130277 = _130275, _130273 = _130271], (150 ^ _125710) ^ [_130687, _130689] : [-(v1_xboole_0(_130687)), _130689 = _130687, v1_xboole_0(_130689)], (160 ^ _125710) ^ [_130982, _130984] : [-(v3_struct_0(_130982)), _130984 = _130982, v3_struct_0(_130984)], (170 ^ _125710) ^ [_131277, _131279] : [-(v3_group_1(_131277)), _131279 = _131277, v3_group_1(_131279)], (180 ^ _125710) ^ [_131572, _131574] : [-(v4_group_1(_131572)), _131574 = _131572, v4_group_1(_131574)], (190 ^ _125710) ^ [_131867, _131869] : [-(l1_group_1(_131867)), _131869 = _131867, l1_group_1(_131869)], (200 ^ _125710) ^ [_132162, _132164] : [-(v1_group_1(_132162)), _132164 = _132162, v1_group_1(_132164)], (210 ^ _125710) ^ [_132485, _132487, _132489, _132491] : [-(m1_group_2(_132489, _132485)), m1_group_2(_132491, _132487), _132491 = _132489, _132487 = _132485], (224 ^ _125710) ^ [_132929, _132931, _132933, _132935] : [-(m1_subset_1(_132933, _132929)), m1_subset_1(_132935, _132931), _132935 = _132933, _132931 = _132929], (238 ^ _125710) ^ [_133353, _133355, _133357, _133359] : [-(r2_hidden(_133357, _133353)), r2_hidden(_133359, _133355), _133359 = _133357, _133355 = _133353], (322 ^ _125710) ^ [_136379] : [l1_group_1(_136379), v1_group_1(_136379), -(_136379 = g1_group_1(u1_struct_0(_136379), u1_group_1(_136379)))], (332 ^ _125710) ^ [_136678, _136680] : [r2_hidden(_136680, _136678), r2_hidden(_136678, _136680)], (338 ^ _125710) ^ [_136903, _136905, _136907] : [m1_relset_1(_136903, _136907, _136905), 349 ^ _125710 : [(350 ^ _125710) ^ [] : [-(v1_funct_1(_136903))], (352 ^ _125710) ^ [] : [-(v1_funct_2(_136903, _136907, _136905))]], v1_funct_1(_136903), v1_partfun1(_136903, _136907, _136905)], (354 ^ _125710) ^ [_137398, _137400, _137402] : [m1_subset_1(_137398, k1_zfmisc_1(k2_zfmisc_1(_137402, _137400))), -(v1_relat_1(_137398))], (360 ^ _125710) ^ [_137622, _137624] : [-(v1_xboole_0(_137622)), 363 ^ _125710 : [(364 ^ _125710) ^ [_137786] : [m1_relset_1(_137786, _137624, _137622), 375 ^ _125710 : [(376 ^ _125710) ^ [] : [-(v1_funct_1(_137786))], (378 ^ _125710) ^ [] : [-(v1_partfun1(_137786, _137624, _137622))], (380 ^ _125710) ^ [] : [-(v1_funct_2(_137786, _137624, _137622))]], v1_funct_1(_137786), v1_funct_2(_137786, _137624, _137622)]]], (382 ^ _125710) ^ [_138354, _138356] : [-(v1_xboole_0(_138356)), -(v1_xboole_0(_138354)), 389 ^ _125710 : [(390 ^ _125710) ^ [_138615] : [m1_relset_1(_138615, _138356, _138354), 401 ^ _125710 : [(402 ^ _125710) ^ [] : [-(v1_funct_1(_138615))], (404 ^ _125710) ^ [] : [v1_xboole_0(_138615)], (406 ^ _125710) ^ [] : [-(v1_partfun1(_138615, _138356, _138354))], (408 ^ _125710) ^ [] : [-(v1_funct_2(_138615, _138356, _138354))]], v1_funct_1(_138615), v1_funct_2(_138615, _138356, _138354)]]], (410 ^ _125710) ^ [_139260, _139262] : [421 ^ _125710 : [(422 ^ _125710) ^ [] : [-(v1_group_1(g1_group_1(_139262, _139260)))], (424 ^ _125710) ^ [] : [-(l1_group_1(g1_group_1(_139262, _139260)))]], v1_funct_1(_139260), v1_funct_2(_139260, k2_zfmisc_1(_139262, _139262), _139262), m1_relset_1(_139260, k2_zfmisc_1(_139262, _139262), _139262)], (426 ^ _125710) ^ [] : [true___, -(true___)], (432 ^ _125710) ^ [] : [true___, -(true___)], (438 ^ _125710) ^ [_139969] : [453 ^ _125710 : [(454 ^ _125710) ^ [] : [-(v1_funct_1(k1_latsubgr(_139969)))], (456 ^ _125710) ^ [] : [-(v1_funct_2(k1_latsubgr(_139969), k1_group_3(_139969), k1_zfmisc_1(u1_struct_0(_139969))))], (458 ^ _125710) ^ [] : [-(m2_relset_1(k1_latsubgr(_139969), k1_group_3(_139969), k1_zfmisc_1(u1_struct_0(_139969))))]], -(v3_struct_0(_139969)), v3_group_1(_139969), v4_group_1(_139969), l1_group_1(_139969)], (460 ^ _125710) ^ [] : [true___, -(true___)], (466 ^ _125710) ^ [] : [true___, -(true___)], (472 ^ _125710) ^ [] : [true___, -(true___)], (478 ^ _125710) ^ [_140963, _140965] : [-(m1_subset_1(k3_group_1(_140965, _140963), u1_struct_0(_140965))), -(v3_struct_0(_140965)), v3_group_1(_140965), v4_group_1(_140965), l1_group_1(_140965), m1_subset_1(_140963, u1_struct_0(_140965))], (500 ^ _125710) ^ [_141524] : [l1_group_1(_141524), -(l1_struct_0(_141524))], (506 ^ _125710) ^ [] : [true___, -(true___)], (512 ^ _125710) ^ [_141829] : [523 ^ _125710 : [(524 ^ _125710) ^ [_142140] : [m1_group_2(_142140, _141829), 527 ^ _125710 : [(528 ^ _125710) ^ [] : [v3_struct_0(_142140)], (530 ^ _125710) ^ [] : [-(v3_group_1(_142140))], (532 ^ _125710) ^ [] : [-(l1_group_1(_142140))]]]], -(v3_struct_0(_141829)), v3_group_1(_141829), l1_group_1(_141829)], (534 ^ _125710) ^ [] : [true___, -(true___)], (540 ^ _125710) ^ [] : [true___, -(true___)], (546 ^ _125710) ^ [_142753, _142755, _142757] : [m2_relset_1(_142753, _142757, _142755), -(m1_subset_1(_142753, k1_zfmisc_1(k2_zfmisc_1(_142757, _142755))))], (552 ^ _125710) ^ [_142967] : [l1_group_1(_142967), 555 ^ _125710 : [(556 ^ _125710) ^ [] : [-(v1_funct_1(u1_group_1(_142967)))], (558 ^ _125710) ^ [] : [-(v1_funct_2(u1_group_1(_142967), k2_zfmisc_1(u1_struct_0(_142967), u1_struct_0(_142967)), u1_struct_0(_142967)))], (560 ^ _125710) ^ [] : [-(m2_relset_1(u1_group_1(_142967), k2_zfmisc_1(u1_struct_0(_142967), u1_struct_0(_142967)), u1_struct_0(_142967)))]]], (562 ^ _125710) ^ [] : [true___, -(true___)], (569 ^ _125710) ^ [] : [-(l1_group_1(567 ^ []))], (572 ^ _125710) ^ [] : [-(l1_struct_0(570 ^ []))], (574 ^ _125710) ^ [_143647] : [-(m1_group_2(585 ^ [_143647], _143647)), -(v3_struct_0(_143647)), v3_group_1(_143647), l1_group_1(_143647)], (590 ^ _125710) ^ [_144096, _144098] : [-(m1_relset_1(588 ^ [_144096, _144098], _144098, _144096))], (593 ^ _125710) ^ [_144223] : [-(m1_subset_1(591 ^ [_144223], _144223))], (596 ^ _125710) ^ [_144362, _144364] : [-(m2_relset_1(594 ^ [_144362, _144364], _144364, _144362))], (598 ^ _125710) ^ [_144465] : [v1_xboole_0(k1_group_3(_144465)), -(v3_struct_0(_144465)), v3_group_1(_144465), v4_group_1(_144465), l1_group_1(_144465)], (616 ^ _125710) ^ [_144908] : [v1_xboole_0(u1_struct_0(_144908)), -(v3_struct_0(_144908)), l1_struct_0(_144908)], (626 ^ _125710) ^ [_145169] : [v1_xboole_0(k1_zfmisc_1(_145169))], (628 ^ _125710) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (630 ^ _125710) ^ [_145330, _145332] : [v1_xboole_0(k2_zfmisc_1(_145332, _145330)), -(v1_xboole_0(_145332)), -(v1_xboole_0(_145330))], (640 ^ _125710) ^ [_145636, _145638] : [651 ^ _125710 : [(652 ^ _125710) ^ [_145996, _145998] : [g1_group_1(_145638, _145636) = g1_group_1(_145998, _145996), 655 ^ _125710 : [(656 ^ _125710) ^ [] : [-(_145638 = _145998)], (658 ^ _125710) ^ [] : [-(_145636 = _145996)]]]], v1_funct_1(_145636), v1_funct_2(_145636, k2_zfmisc_1(_145638, _145638), _145638), m1_relset_1(_145636, k2_zfmisc_1(_145638, _145638), _145638)], (661 ^ _125710) ^ [_146382, _146384] : [-(m1_relset_1(659 ^ [_146382, _146384], _146384, _146382))], (663 ^ _125710) ^ [_146456, _146458] : [-(v1_relat_1(659 ^ [_146456, _146458]))], (665 ^ _125710) ^ [_146528, _146530] : [-(v1_funct_1(659 ^ [_146528, _146530]))], (667 ^ _125710) ^ [_146580, _146582] : [-(v1_funct_2(659 ^ [_146580, _146582], _146582, _146580))], (669 ^ _125710) ^ [_146689] : [-(v1_xboole_0(_146689)), 673 ^ _125710 : [(674 ^ _125710) ^ [] : [-(m1_subset_1(672 ^ [_146689], k1_zfmisc_1(_146689)))], (676 ^ _125710) ^ [] : [v1_xboole_0(672 ^ [_146689])]]], (679 ^ _125710) ^ [] : [-(v1_xboole_0(677 ^ []))], (682 ^ _125710) ^ [_147181, _147183] : [-(m1_relset_1(680 ^ [_147181, _147183], _147183, _147181))], (684 ^ _125710) ^ [_147255, _147257] : [-(v1_relat_1(680 ^ [_147255, _147257]))], (686 ^ _125710) ^ [_147307, _147309] : [-(v1_funct_1(680 ^ [_147307, _147309]))], (689 ^ _125710) ^ [_147463] : [-(m1_subset_1(687 ^ [_147463], k1_zfmisc_1(_147463)))], (691 ^ _125710) ^ [_147514] : [-(v1_xboole_0(687 ^ [_147514]))], (694 ^ _125710) ^ [] : [v1_xboole_0(692 ^ [])], (697 ^ _125710) ^ [] : [-(l1_struct_0(695 ^ []))], (699 ^ _125710) ^ [] : [v3_struct_0(695 ^ [])], (701 ^ _125710) ^ [_147853] : [709 ^ _125710 : [(710 ^ _125710) ^ [] : [-(m1_subset_1(708 ^ [_147853], k1_zfmisc_1(u1_struct_0(_147853))))], (712 ^ _125710) ^ [] : [v1_xboole_0(708 ^ [_147853])]], -(v3_struct_0(_147853)), l1_struct_0(_147853)], (714 ^ _125710) ^ [_148331, _148333, _148335] : [m2_relset_1(_148331, _148335, _148333), -(m1_relset_1(_148331, _148335, _148333))], (720 ^ _125710) ^ [_148503, _148505, _148507] : [m1_relset_1(_148503, _148507, _148505), -(m2_relset_1(_148503, _148507, _148505))], (726 ^ _125710) ^ [_148710, _148712] : [-(r1_tarski(_148712, _148712))], (728 ^ _125710) ^ [_148805] : [-(v3_struct_0(_148805)), v3_group_1(_148805), v4_group_1(_148805), l1_group_1(_148805), 743 ^ _125710 : [(744 ^ _125710) ^ [_149217] : [v1_group_1(_149217), m1_group_2(_149217, _148805), 751 ^ _125710 : [(752 ^ _125710) ^ [_149456] : [m1_subset_1(_149456, u1_struct_0(_148805)), 755 ^ _125710 : [(756 ^ _125710) ^ [] : [r2_hidden(_149456, k1_funct_1(k1_latsubgr(_148805), _149217)), -(r1_rlvect_1(_149217, _149456))], (762 ^ _125710) ^ [] : [r1_rlvect_1(_149217, _149456), -(r2_hidden(_149456, k1_funct_1(k1_latsubgr(_148805), _149217)))]]]]]]], (768 ^ _125710) ^ [_149973, _149975] : [r2_hidden(_149975, _149973), -(m1_subset_1(_149975, _149973))], (774 ^ _125710) ^ [_150183, _150185] : [m1_subset_1(_150185, _150183), -(v1_xboole_0(_150183)), -(r2_hidden(_150185, _150183))], (784 ^ _125710) ^ [_150510, _150512] : [m1_subset_1(_150512, k1_zfmisc_1(_150510)), -(r1_tarski(_150512, _150510))], (790 ^ _125710) ^ [_150676, _150678] : [r1_tarski(_150678, _150676), -(m1_subset_1(_150678, k1_zfmisc_1(_150676)))], (796 ^ _125710) ^ [_150906, _150908, _150910] : [-(m1_subset_1(_150910, _150906)), r2_hidden(_150910, _150908), m1_subset_1(_150908, k1_zfmisc_1(_150906))], (806 ^ _125710) ^ [_151233, _151235, _151237] : [r2_hidden(_151237, _151235), m1_subset_1(_151235, k1_zfmisc_1(_151233)), v1_xboole_0(_151233)], (816 ^ _125710) ^ [_151529] : [-(v3_struct_0(_151529)), v3_group_1(_151529), v4_group_1(_151529), l1_group_1(_151529), 831 ^ _125710 : [(832 ^ _125710) ^ [_151934] : [m1_subset_1(_151934, u1_struct_0(_151529)), 835 ^ _125710 : [(836 ^ _125710) ^ [_152086] : [m1_group_2(_152086, _151529), r1_rlvect_1(_152086, _151934), -(r1_rlvect_1(_152086, k3_group_1(_151529, _151934)))]]]]], (846 ^ _125710) ^ [_152407] : [v1_xboole_0(_152407), -(_152407 = k1_xboole_0)], (852 ^ _125710) ^ [_152609, _152611] : [r2_hidden(_152611, _152609), v1_xboole_0(_152609)], (858 ^ _125710) ^ [_152796, _152798] : [v1_xboole_0(_152798), -(_152798 = _152796), v1_xboole_0(_152796)]], input).
% 0.38/1.37  ncf('1',plain,[v3_struct_0(867 ^ [])],start(869 ^ 0)).
% 0.38/1.37  ncf('1.1',plain,[-(v3_struct_0(867 ^ [])), v3_group_1(867 ^ []), v4_group_1(867 ^ []), l1_group_1(867 ^ []), 832 : m1_subset_1(881 ^ [], u1_struct_0(867 ^ [])), 836 : m1_group_2(876 ^ [], 867 ^ []), 836 : r1_rlvect_1(876 ^ [], 881 ^ []), 836 : -(r1_rlvect_1(876 ^ [], k3_group_1(867 ^ [], 881 ^ [])))],extension(816 ^ 1,bind([[_151529, _151934, _152086], [867 ^ [], 881 ^ [], 876 ^ []]]))).
% 0.38/1.37  ncf('1.1.1',plain,[-(v3_group_1(867 ^ []))],extension(871 ^ 2)).
% 0.38/1.37  ncf('1.1.2',plain,[-(v4_group_1(867 ^ []))],extension(873 ^ 2)).
% 0.38/1.37  ncf('1.1.3',plain,[-(l1_group_1(867 ^ []))],extension(875 ^ 2)).
% 0.38/1.37  ncf('1.1.4',plain,[-(m1_subset_1(881 ^ [], u1_struct_0(867 ^ [])))],extension(883 ^ 4)).
% 0.38/1.37  ncf('1.1.5',plain,[-(m1_group_2(876 ^ [], 867 ^ []))],extension(880 ^ 6)).
% 0.38/1.37  ncf('1.1.6',plain,[-(r1_rlvect_1(876 ^ [], 881 ^ [])), r1_rlvect_1(876 ^ [], 881 ^ []), 876 ^ [] = 876 ^ [], 881 ^ [] = 881 ^ []],extension(136 ^ 6,bind([[_130271, _130273, _130275, _130277], [881 ^ [], 881 ^ [], 876 ^ [], 876 ^ []]]))).
% 0.38/1.37  ncf('1.1.6.1',plain,[-(r1_rlvect_1(876 ^ [], 881 ^ [])), 756 : r2_hidden(881 ^ [], k1_funct_1(k1_latsubgr(867 ^ []), 876 ^ [])), 756 : m1_subset_1(881 ^ [], u1_struct_0(867 ^ [])), 752 : v1_group_1(876 ^ []), 752 : m1_group_2(876 ^ [], 867 ^ []), 744 : -(v3_struct_0(867 ^ [])), 744 : v3_group_1(867 ^ []), 744 : v4_group_1(867 ^ []), 744 : l1_group_1(867 ^ [])],extension(728 ^ 7,bind([[_148805, _149217, _149456], [867 ^ [], 876 ^ [], 881 ^ []]]))).
% 0.38/1.37  ncf('1.1.6.1.1',plain,[-(r2_hidden(881 ^ [], k1_funct_1(k1_latsubgr(867 ^ []), 876 ^ [])))],extension(885 ^ 14)).
% 0.38/1.37  ncf('1.1.6.1.2',plain,[-(m1_subset_1(881 ^ [], u1_struct_0(867 ^ [])))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.6.1.3',plain,[-(v1_group_1(876 ^ []))],extension(878 ^ 10)).
% 0.38/1.37  ncf('1.1.6.1.4',plain,[-(m1_group_2(876 ^ [], 867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.6.1.5',plain,[v3_struct_0(867 ^ [])],reduction('1')).
% 0.38/1.37  ncf('1.1.6.1.6',plain,[-(v3_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.6.1.7',plain,[-(v4_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.6.1.8',plain,[-(l1_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.6.2',plain,[-(876 ^ [] = 876 ^ [])],extension(2 ^ 7,bind([[_125854], [876 ^ []]]))).
% 0.38/1.37  ncf('1.1.6.3',plain,[-(881 ^ [] = 881 ^ [])],extension(2 ^ 7,bind([[_125854], [881 ^ []]]))).
% 0.38/1.37  ncf('1.1.7',plain,[r1_rlvect_1(876 ^ [], k3_group_1(867 ^ [], 881 ^ [])), 762 : -(r2_hidden(k3_group_1(867 ^ [], 881 ^ []), k1_funct_1(k1_latsubgr(867 ^ []), 876 ^ []))), 762 : m1_subset_1(k3_group_1(867 ^ [], 881 ^ []), u1_struct_0(867 ^ [])), 752 : v1_group_1(876 ^ []), 752 : m1_group_2(876 ^ [], 867 ^ []), 744 : -(v3_struct_0(867 ^ [])), 744 : v3_group_1(867 ^ []), 744 : v4_group_1(867 ^ []), 744 : l1_group_1(867 ^ [])],extension(728 ^ 6,bind([[_148805, _149217, _149456], [867 ^ [], 876 ^ [], k3_group_1(867 ^ [], 881 ^ [])]]))).
% 0.38/1.37  ncf('1.1.7.1',plain,[r2_hidden(k3_group_1(867 ^ [], 881 ^ []), k1_funct_1(k1_latsubgr(867 ^ []), 876 ^ []))],extension(887 ^ 13)).
% 0.38/1.37  ncf('1.1.7.2',plain,[-(m1_subset_1(k3_group_1(867 ^ [], 881 ^ []), u1_struct_0(867 ^ []))), -(v3_struct_0(867 ^ [])), v3_group_1(867 ^ []), v4_group_1(867 ^ []), l1_group_1(867 ^ []), m1_subset_1(881 ^ [], u1_struct_0(867 ^ []))],extension(478 ^ 11,bind([[_140963, _140965], [881 ^ [], 867 ^ []]]))).
% 0.38/1.37  ncf('1.1.7.2.1',plain,[v3_struct_0(867 ^ [])],reduction('1')).
% 0.38/1.37  ncf('1.1.7.2.2',plain,[-(v3_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.2.3',plain,[-(v4_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.2.4',plain,[-(l1_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.2.5',plain,[-(m1_subset_1(881 ^ [], u1_struct_0(867 ^ [])))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.3',plain,[-(v1_group_1(876 ^ []))],extension(878 ^ 9)).
% 0.38/1.37  ncf('1.1.7.4',plain,[-(m1_group_2(876 ^ [], 867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.5',plain,[v3_struct_0(867 ^ [])],reduction('1')).
% 0.38/1.37  ncf('1.1.7.6',plain,[-(v3_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.7',plain,[-(v4_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  ncf('1.1.7.8',plain,[-(l1_group_1(867 ^ []))],lemmata('[1].x')).
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------