TSTP Solution File: SEU449+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:04:42 EDT 2023

% Result   : Theorem 1.63s 2.40s
% Output   : Proof 1.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU449+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n005.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 13:26:23 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 1.63/2.40  
% 1.63/2.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.63/2.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.63/2.40  %-----------------------------------------------------
% 1.63/2.40  ncf(matrix, plain, [(677 ^ _128713) ^ [] : [-(m1_subset_1(675 ^ [], k1_zfmisc_1(673 ^ [])))], (680 ^ _128713) ^ [] : [-(m1_subset_1(678 ^ [], k1_zfmisc_1(674 ^ [])))], (683 ^ _128713) ^ [] : [-(m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []))], (685 ^ _128713) ^ [] : [r1_tarski(675 ^ [], k8_relset_2(674 ^ [], 673 ^ [], k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []))), r1_tarski(678 ^ [], k8_relset_2(673 ^ [], 674 ^ [], k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), 681 ^ []))], (170 ^ _128713) ^ [_134298, _134300, _134302, _134304] : [-(k9_relat_1(_134304, _134300) = k9_relat_1(_134302, _134298)), _134304 = _134302, _134300 = _134298], (180 ^ _128713) ^ [_134657, _134659, _134661, _134663] : [-(k5_relset_2(_134663, _134659) = k5_relset_2(_134661, _134657)), _134663 = _134661, _134659 = _134657], (190 ^ _128713) ^ [_135016, _135018, _135020, _135022] : [-(k8_setfam_1(_135022, _135018) = k8_setfam_1(_135020, _135016)), _135022 = _135020, _135018 = _135016], (200 ^ _128713) ^ [_135431, _135433, _135435, _135437, _135439, _135441, _135443, _135445] : [-(k4_relset_2(_135445, _135441, _135437, _135433) = k4_relset_2(_135443, _135439, _135435, _135431)), _135445 = _135443, _135441 = _135439, _135437 = _135435, _135433 = _135431], (218 ^ _128713) ^ [_136092, _136094, _136096, _136098, _136100, _136102] : [-(k6_relset_2(_136102, _136098, _136094) = k6_relset_2(_136100, _136096, _136092)), _136102 = _136100, _136098 = _136096, _136094 = _136092], (232 ^ _128713) ^ [_136552, _136554] : [_136554 = _136552, -(k3_pua2mss1(_136554) = k3_pua2mss1(_136552))], (238 ^ _128713) ^ [_136770, _136772] : [_136772 = _136770, -(k4_relat_1(_136772) = k4_relat_1(_136770))], (244 ^ _128713) ^ [_137072, _137074, _137076, _137078, _137080, _137082, _137084, _137086] : [-(k7_relset_2(_137086, _137082, _137078, _137074) = k7_relset_2(_137084, _137080, _137076, _137072)), _137086 = _137084, _137082 = _137080, _137078 = _137076, _137074 = _137072], (262 ^ _128713) ^ [_137705, _137707, _137709, _137711] : [-(k2_zfmisc_1(_137711, _137707) = k2_zfmisc_1(_137709, _137705)), _137711 = _137709, _137707 = _137705], (272 ^ _128713) ^ [_138036, _138038] : [_138038 = _138036, -(k1_zfmisc_1(_138038) = k1_zfmisc_1(_138036))], (296 ^ _128713) ^ [_138979, _138981, _138983, _138985, _138987, _138989] : [-(k6_relset_1(_138989, _138985, _138981) = k6_relset_1(_138987, _138983, _138979)), _138989 = _138987, _138985 = _138983, _138981 = _138979], (278 ^ _128713) ^ [_138338, _138340, _138342, _138344, _138346, _138348, _138350, _138352] : [-(k8_relset_2(_138352, _138348, _138344, _138340) = k8_relset_2(_138350, _138346, _138342, _138338)), _138352 = _138350, _138348 = _138346, _138344 = _138342, _138340 = _138338], (2 ^ _128713) ^ [_128857] : [-(_128857 = _128857)], (4 ^ _128713) ^ [_128964, _128966] : [_128966 = _128964, -(_128964 = _128966)], (10 ^ _128713) ^ [_129168, _129170, _129172] : [-(_129172 = _129168), _129172 = _129170, _129170 = _129168], (20 ^ _128713) ^ [_129509, _129511, _129513, _129515] : [-(m1_eqrel_1(_129513, _129509)), m1_eqrel_1(_129515, _129511), _129515 = _129513, _129511 = _129509], (34 ^ _128713) ^ [_129925, _129927] : [-(v1_funct_1(_129925)), _129927 = _129925, v1_funct_1(_129927)], (44 ^ _128713) ^ [_130276, _130278, _130280, _130282, _130284, _130286] : [-(v1_funct_2(_130284, _130280, _130276)), v1_funct_2(_130286, _130282, _130278), _130286 = _130284, _130282 = _130280, _130278 = _130276], (62 ^ _128713) ^ [_130829, _130831] : [-(v3_relat_1(_130829)), _130831 = _130829, v3_relat_1(_130831)], (72 ^ _128713) ^ [_131124, _131126] : [-(v1_relat_1(_131124)), _131126 = _131124, v1_relat_1(_131126)], (82 ^ _128713) ^ [_131447, _131449, _131451, _131453] : [-(r2_hidden(_131451, _131447)), r2_hidden(_131453, _131449), _131453 = _131451, _131449 = _131447], (96 ^ _128713) ^ [_131919, _131921, _131923, _131925, _131927, _131929] : [-(m1_relset_1(_131927, _131923, _131919)), m1_relset_1(_131929, _131925, _131921), _131929 = _131927, _131925 = _131923, _131921 = _131919], (114 ^ _128713) ^ [_132472, _132474] : [-(v1_xboole_0(_132472)), _132474 = _132472, v1_xboole_0(_132474)], (124 ^ _128713) ^ [_132795, _132797, _132799, _132801] : [-(m1_subset_1(_132799, _132795)), m1_subset_1(_132801, _132797), _132801 = _132799, _132797 = _132795], (156 ^ _128713) ^ [_133828, _133830, _133832, _133834] : [-(r1_tarski(_133832, _133828)), r1_tarski(_133834, _133830), _133834 = _133832, _133830 = _133828], (138 ^ _128713) ^ [_133267, _133269, _133271, _133273, _133275, _133277] : [-(m2_relset_1(_133275, _133271, _133267)), m2_relset_1(_133277, _133273, _133269), _133277 = _133275, _133273 = _133271, _133269 = _133267], (311 ^ _128713) ^ [_139527] : [-(m1_eqrel_1(309 ^ [_139527], _139527))], (313 ^ _128713) ^ [_139639, _139641] : [v1_relat_1(_139639), 316 ^ _128713 : [(317 ^ _128713) ^ [] : [-(v1_relat_1(k5_relset_2(_139641, _139639)))], (319 ^ _128713) ^ [] : [-(v1_funct_1(k5_relset_2(_139641, _139639)))]]], (321 ^ _128713) ^ [] : [true___, -(true___)], (327 ^ _128713) ^ [_140049, _140051] : [m1_eqrel_1(_140049, _140051), -(m1_subset_1(_140049, k1_zfmisc_1(k1_zfmisc_1(_140051))))], (334 ^ _128713) ^ [_140324, _140326] : [-(m1_relset_1(332 ^ [_140324, _140326], _140326, _140324))], (336 ^ _128713) ^ [_140398, _140400] : [-(v1_relat_1(332 ^ [_140398, _140400]))], (338 ^ _128713) ^ [_140450, _140452] : [-(v1_funct_1(332 ^ [_140450, _140452]))], (341 ^ _128713) ^ [] : [-(v1_relat_1(339 ^ []))], (343 ^ _128713) ^ [] : [-(v3_relat_1(339 ^ []))], (345 ^ _128713) ^ [_140718, _140720] : [r2_hidden(_140720, _140718), r2_hidden(_140718, _140720)], (351 ^ _128713) ^ [_140957, _140959, _140961, _140963] : [m1_subset_1(_140959, k1_zfmisc_1(k2_zfmisc_1(_140963, k1_zfmisc_1(_140961)))), -(k4_relset_2(_140963, _140961, _140959, _140957) = k9_relat_1(_140959, _140957))], (357 ^ _128713) ^ [_141223, _141225, _141227] : [m1_subset_1(_141223, k1_zfmisc_1(k2_zfmisc_1(_141225, _141227))), -(k6_relset_2(_141227, _141225, _141223) = k5_relset_2(_141225, _141223))], (363 ^ _128713) ^ [] : [true___, -(true___)], (369 ^ _128713) ^ [_141553] : [-(m1_eqrel_1(k3_pua2mss1(_141553), _141553))], (371 ^ _128713) ^ [_141690, _141692, _141694, _141696] : [m1_subset_1(_141692, k1_zfmisc_1(k2_zfmisc_1(_141696, k1_zfmisc_1(_141694)))), -(m1_subset_1(k4_relset_2(_141696, _141694, _141692, _141690), k1_zfmisc_1(k1_zfmisc_1(_141694))))], (377 ^ _128713) ^ [_141958, _141960, _141962] : [m1_subset_1(_141958, k1_zfmisc_1(k2_zfmisc_1(_141960, _141962))), 380 ^ _128713 : [(381 ^ _128713) ^ [] : [-(v1_funct_1(k6_relset_2(_141962, _141960, _141958)))], (383 ^ _128713) ^ [] : [-(v1_funct_2(k6_relset_2(_141962, _141960, _141958), k1_zfmisc_1(_141960), k1_zfmisc_1(_141962)))], (385 ^ _128713) ^ [] : [-(m2_relset_1(k6_relset_2(_141962, _141960, _141958), k1_zfmisc_1(_141960), k1_zfmisc_1(_141962)))]]], (387 ^ _128713) ^ [_142379, _142381] : [m1_subset_1(_142379, k1_zfmisc_1(k1_zfmisc_1(_142381))), -(m1_subset_1(k8_setfam_1(_142381, _142379), k1_zfmisc_1(_142381)))], (393 ^ _128713) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (395 ^ _128713) ^ [] : [-(v1_relat_1(k1_xboole_0))], (397 ^ _128713) ^ [] : [-(v3_relat_1(k1_xboole_0))], (399 ^ _128713) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (401 ^ _128713) ^ [] : [-(v1_relat_1(k1_xboole_0))], (404 ^ _128713) ^ [] : [-(v1_xboole_0(402 ^ []))], (406 ^ _128713) ^ [] : [-(v1_relat_1(402 ^ []))], (409 ^ _128713) ^ [] : [v1_xboole_0(407 ^ [])], (411 ^ _128713) ^ [] : [-(v1_relat_1(407 ^ []))], (413 ^ _128713) ^ [_143177, _143179] : [r2_hidden(_143179, _143177), -(m1_subset_1(_143179, _143177))], (419 ^ _128713) ^ [_143401, _143403, _143405] : [-(m1_subset_1(_143405, _143401)), r2_hidden(_143405, _143403), m1_subset_1(_143403, k1_zfmisc_1(_143401))], (429 ^ _128713) ^ [_143728, _143730, _143732] : [r2_hidden(_143732, _143730), m1_subset_1(_143730, k1_zfmisc_1(_143728)), v1_xboole_0(_143728)], (439 ^ _128713) ^ [_144024] : [v1_relat_1(_144024), -(k4_relat_1(k4_relat_1(_144024)) = _144024)], (446 ^ _128713) ^ [_144261, _144263] : [-(m1_relset_1(444 ^ [_144261, _144263], _144263, _144261))], (448 ^ _128713) ^ [] : [true___, -(true___)], (454 ^ _128713) ^ [_144483] : [v1_relat_1(_144483), -(v1_relat_1(k4_relat_1(_144483)))], (460 ^ _128713) ^ [] : [true___, -(true___)], (466 ^ _128713) ^ [] : [true___, -(true___)], (472 ^ _128713) ^ [_144911] : [v1_xboole_0(_144911), -(v1_relat_1(_144911))], (478 ^ _128713) ^ [_145125, _145127, _145129] : [m1_subset_1(_145125, k1_zfmisc_1(k2_zfmisc_1(_145129, _145127))), -(v1_relat_1(_145125))], (484 ^ _128713) ^ [_145335] : [v1_xboole_0(_145335), 487 ^ _128713 : [(488 ^ _128713) ^ [] : [-(v1_xboole_0(k4_relat_1(_145335)))], (490 ^ _128713) ^ [] : [-(v1_relat_1(k4_relat_1(_145335)))]]], (492 ^ _128713) ^ [_145599, _145601] : [-(v1_relat_1(k2_zfmisc_1(_145601, _145599)))], (494 ^ _128713) ^ [_145710, _145712] : [v1_xboole_0(k2_zfmisc_1(_145712, _145710)), -(v1_xboole_0(_145712)), -(v1_xboole_0(_145710))], (504 ^ _128713) ^ [_146002] : [-(v1_xboole_0(_146002)), 508 ^ _128713 : [(509 ^ _128713) ^ [] : [-(m1_subset_1(507 ^ [_146002], k1_zfmisc_1(_146002)))], (511 ^ _128713) ^ [] : [v1_xboole_0(507 ^ [_146002])]]], (514 ^ _128713) ^ [_146385] : [-(m1_subset_1(512 ^ [_146385], k1_zfmisc_1(_146385)))], (516 ^ _128713) ^ [_146436] : [-(v1_xboole_0(512 ^ [_146436]))], (518 ^ _128713) ^ [_146549, _146551] : [m1_subset_1(_146551, _146549), -(v1_xboole_0(_146549)), -(r2_hidden(_146551, _146549))], (528 ^ _128713) ^ [_146833] : [v1_xboole_0(_146833), -(_146833 = k1_xboole_0)], (534 ^ _128713) ^ [_147035, _147037] : [r2_hidden(_147037, _147035), v1_xboole_0(_147035)], (540 ^ _128713) ^ [_147242, _147244] : [v1_xboole_0(_147244), -(_147244 = _147242), v1_xboole_0(_147242)], (550 ^ _128713) ^ [_147553, _147555, _147557] : [m1_subset_1(_147553, k1_zfmisc_1(_147557)), 553 ^ _128713 : [(554 ^ _128713) ^ [_147724] : [m1_subset_1(_147724, k1_zfmisc_1(k2_zfmisc_1(_147557, _147555))), -(k7_relset_2(_147557, _147555, _147553, _147724) = k8_setfam_1(_147555, k4_relset_2(k1_zfmisc_1(_147557), _147555, k6_relset_2(_147555, _147557, _147724), k3_pua2mss1(_147553))))]]], (560 ^ _128713) ^ [_148023, _148025, _148027] : [m1_relset_1(_148023, _148027, _148025), -(k6_relset_1(_148027, _148025, k6_relset_1(_148027, _148025, _148023)) = _148023)], (566 ^ _128713) ^ [_148242, _148244] : [-(r1_tarski(_148244, _148244))], (569 ^ _128713) ^ [_148361] : [-(m1_subset_1(567 ^ [_148361], _148361))], (572 ^ _128713) ^ [_148500, _148502] : [-(m2_relset_1(570 ^ [_148500, _148502], _148502, _148500))], (574 ^ _128713) ^ [_148631, _148633, _148635] : [m1_relset_1(_148631, _148635, _148633), -(k6_relset_1(_148635, _148633, _148631) = k4_relat_1(_148631))], (580 ^ _128713) ^ [_148889, _148891, _148893, _148895] : [-(k8_relset_2(_148895, _148893, _148891, _148889) = k7_relset_2(_148895, _148893, _148891, _148889)), m1_subset_1(_148891, k1_zfmisc_1(_148895)), m1_subset_1(_148889, k1_zfmisc_1(k2_zfmisc_1(_148895, _148893)))], (590 ^ _128713) ^ [_149285, _149287, _149289] : [m2_relset_1(_149285, _149289, _149287), -(m1_relset_1(_149285, _149289, _149287))], (596 ^ _128713) ^ [_149457, _149459, _149461] : [m1_relset_1(_149457, _149461, _149459), -(m2_relset_1(_149457, _149461, _149459))], (602 ^ _128713) ^ [] : [true___, -(true___)], (608 ^ _128713) ^ [_149812, _149814, _149816] : [m1_relset_1(_149812, _149816, _149814), -(m2_relset_1(k6_relset_1(_149816, _149814, _149812), _149814, _149816))], (614 ^ _128713) ^ [_150068, _150070, _150072, _150074] : [-(m1_subset_1(k8_relset_2(_150074, _150072, _150070, _150068), k1_zfmisc_1(_150072))), m1_subset_1(_150070, k1_zfmisc_1(_150074)), m1_subset_1(_150068, k1_zfmisc_1(k2_zfmisc_1(_150074, _150072)))], (624 ^ _128713) ^ [] : [true___, -(true___)], (630 ^ _128713) ^ [_150548, _150550, _150552] : [m2_relset_1(_150548, _150552, _150550), -(m1_subset_1(_150548, k1_zfmisc_1(k2_zfmisc_1(_150552, _150550))))], (636 ^ _128713) ^ [_150746] : [v1_xboole_0(k1_zfmisc_1(_150746))], (638 ^ _128713) ^ [_150883, _150885] : [m1_subset_1(_150885, k1_zfmisc_1(_150883)), -(r1_tarski(_150885, _150883))], (644 ^ _128713) ^ [_151049, _151051] : [r1_tarski(_151051, _151049), -(m1_subset_1(_151051, k1_zfmisc_1(_151049)))], (650 ^ _128713) ^ [_151259, _151261, _151263] : [m1_subset_1(_151259, k1_zfmisc_1(_151263)), 653 ^ _128713 : [(654 ^ _128713) ^ [_151438] : [m1_subset_1(_151438, k1_zfmisc_1(_151261)), 657 ^ _128713 : [(658 ^ _128713) ^ [_151614] : [m2_relset_1(_151614, _151263, _151261), 661 ^ _128713 : [(662 ^ _128713) ^ [] : [r1_tarski(_151259, k8_relset_2(_151261, _151263, _151438, k6_relset_1(_151263, _151261, _151614))), -(r1_tarski(_151438, k8_relset_2(_151263, _151261, _151259, _151614)))], (668 ^ _128713) ^ [] : [r1_tarski(_151438, k8_relset_2(_151263, _151261, _151259, _151614)), -(r1_tarski(_151259, k8_relset_2(_151261, _151263, _151438, k6_relset_1(_151263, _151261, _151614))))]]]]]]]], input).
% 1.63/2.40  ncf('1',plain,[r1_tarski(675 ^ [], k8_relset_2(674 ^ [], 673 ^ [], k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []))), r1_tarski(678 ^ [], k8_relset_2(673 ^ [], 674 ^ [], k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), 681 ^ []))],start(685 ^ 0)).
% 1.63/2.40  ncf('1.1',plain,[-(r1_tarski(675 ^ [], k8_relset_2(674 ^ [], 673 ^ [], k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])))), 668 : r1_tarski(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ [])), 668 : m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []), 658 : m1_subset_1(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k1_zfmisc_1(674 ^ [])), 654 : m1_subset_1(675 ^ [], k1_zfmisc_1(673 ^ []))],extension(650 ^ 1,bind([[_151259, _151261, _151263, _151438, _151614], [675 ^ [], 674 ^ [], 673 ^ [], k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), 681 ^ []]]))).
% 1.63/2.40  ncf('1.1.1',plain,[-(r1_tarski(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ [])))],extension(566 ^ 8,bind([[_148242, _148244], [_84777, k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ [])]]))).
% 1.63/2.40  ncf('1.1.2',plain,[-(m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []))],extension(683 ^ 6)).
% 1.63/2.40  ncf('1.1.3',plain,[-(m1_subset_1(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k1_zfmisc_1(674 ^ []))), r2_hidden(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k1_zfmisc_1(674 ^ [])), m1_subset_1(k1_zfmisc_1(674 ^ []), k1_zfmisc_1(k1_zfmisc_1(674 ^ [])))],extension(419 ^ 4,bind([[_143401, _143403, _143405], [k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ []), k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ [])]]))).
% 1.63/2.40  ncf('1.1.3.1',plain,[-(r2_hidden(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k1_zfmisc_1(674 ^ []))), m1_subset_1(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k1_zfmisc_1(674 ^ [])), -(v1_xboole_0(k1_zfmisc_1(674 ^ [])))],extension(518 ^ 5,bind([[_146549, _146551], [k1_zfmisc_1(674 ^ []), k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ [])]]))).
% 1.63/2.40  ncf('1.1.3.1.1',plain,[-(m1_subset_1(k8_relset_2(673 ^ [], 674 ^ [], 675 ^ [], 681 ^ []), k1_zfmisc_1(674 ^ []))), m1_subset_1(675 ^ [], k1_zfmisc_1(673 ^ [])), m1_subset_1(681 ^ [], k1_zfmisc_1(k2_zfmisc_1(673 ^ [], 674 ^ [])))],extension(614 ^ 6,bind([[_150068, _150070, _150072, _150074], [681 ^ [], 675 ^ [], 674 ^ [], 673 ^ []]]))).
% 1.63/2.40  ncf('1.1.3.1.1.1',plain,[-(m1_subset_1(675 ^ [], k1_zfmisc_1(673 ^ [])))],extension(677 ^ 7)).
% 1.63/2.40  ncf('1.1.3.1.1.2',plain,[-(m1_subset_1(681 ^ [], k1_zfmisc_1(k2_zfmisc_1(673 ^ [], 674 ^ [])))), m2_relset_1(681 ^ [], 673 ^ [], 674 ^ [])],extension(630 ^ 7,bind([[_150548, _150550, _150552], [681 ^ [], 674 ^ [], 673 ^ []]]))).
% 1.63/2.40  ncf('1.1.3.1.1.2.1',plain,[-(m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []))],extension(683 ^ 8)).
% 1.63/2.40  ncf('1.1.3.1.2',plain,[v1_xboole_0(k1_zfmisc_1(674 ^ []))],extension(636 ^ 6,bind([[_150746], [674 ^ []]]))).
% 1.63/2.40  ncf('1.1.3.2',plain,[-(m1_subset_1(k1_zfmisc_1(674 ^ []), k1_zfmisc_1(k1_zfmisc_1(674 ^ [])))), r1_tarski(k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ []))],extension(644 ^ 5,bind([[_151049, _151051], [k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ [])]]))).
% 1.63/2.40  ncf('1.1.3.2.1',plain,[-(r1_tarski(k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ []))), r1_tarski(k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ [])), k1_zfmisc_1(674 ^ []) = k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ []) = k1_zfmisc_1(674 ^ [])],extension(156 ^ 6,bind([[_133828, _133830, _133832, _133834], [k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ [])]]))).
% 1.63/2.40  ncf('1.1.3.2.1.1',plain,[-(r1_tarski(k1_zfmisc_1(674 ^ []), k1_zfmisc_1(674 ^ [])))],extension(566 ^ 7,bind([[_148242, _148244], [_88279, k1_zfmisc_1(674 ^ [])]]))).
% 1.63/2.40  ncf('1.1.3.2.1.2',plain,[-(k1_zfmisc_1(674 ^ []) = k1_zfmisc_1(674 ^ []))],extension(2 ^ 7,bind([[_128857], [k1_zfmisc_1(674 ^ [])]]))).
% 1.63/2.40  ncf('1.1.3.2.1.3',plain,[-(k1_zfmisc_1(674 ^ []) = k1_zfmisc_1(674 ^ []))],lemmata('[2, 3, 1, 1].x')).
% 1.63/2.40  ncf('1.1.4',plain,[-(m1_subset_1(675 ^ [], k1_zfmisc_1(673 ^ [])))],extension(677 ^ 2)).
% 1.63/2.40  ncf('1.2',plain,[-(r1_tarski(678 ^ [], k8_relset_2(673 ^ [], 674 ^ [], k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), 681 ^ []))), 662 : r1_tarski(k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []))), 662 : m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []), 658 : m1_subset_1(678 ^ [], k1_zfmisc_1(674 ^ [])), 654 : m1_subset_1(k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), k1_zfmisc_1(673 ^ []))],extension(650 ^ 1,bind([[_151259, _151261, _151263, _151438, _151614], [k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), 674 ^ [], 673 ^ [], 678 ^ [], 681 ^ []]]))).
% 1.63/2.40  ncf('1.2.1',plain,[-(r1_tarski(k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []))))],extension(566 ^ 8,bind([[_148242, _148244], [_89689, k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []))]]))).
% 1.63/2.40  ncf('1.2.2',plain,[-(m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []))],extension(683 ^ 6)).
% 1.63/2.40  ncf('1.2.3',plain,[-(m1_subset_1(678 ^ [], k1_zfmisc_1(674 ^ [])))],extension(680 ^ 4)).
% 1.63/2.40  ncf('1.2.4',plain,[-(m1_subset_1(k8_relset_2(674 ^ [], 673 ^ [], 678 ^ [], k6_relset_1(673 ^ [], 674 ^ [], 681 ^ [])), k1_zfmisc_1(673 ^ []))), m1_subset_1(678 ^ [], k1_zfmisc_1(674 ^ [])), m1_subset_1(k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []), k1_zfmisc_1(k2_zfmisc_1(674 ^ [], 673 ^ [])))],extension(614 ^ 2,bind([[_150068, _150070, _150072, _150074], [k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []), 678 ^ [], 673 ^ [], 674 ^ []]]))).
% 1.63/2.40  ncf('1.2.4.1',plain,[-(m1_subset_1(678 ^ [], k1_zfmisc_1(674 ^ [])))],extension(680 ^ 3)).
% 1.63/2.40  ncf('1.2.4.2',plain,[-(m1_subset_1(k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []), k1_zfmisc_1(k2_zfmisc_1(674 ^ [], 673 ^ [])))), m2_relset_1(k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []), 674 ^ [], 673 ^ [])],extension(630 ^ 3,bind([[_150548, _150550, _150552], [k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []), 673 ^ [], 674 ^ []]]))).
% 1.63/2.40  ncf('1.2.4.2.1',plain,[-(m2_relset_1(k6_relset_1(673 ^ [], 674 ^ [], 681 ^ []), 674 ^ [], 673 ^ [])), m1_relset_1(681 ^ [], 673 ^ [], 674 ^ [])],extension(608 ^ 4,bind([[_149812, _149814, _149816], [681 ^ [], 674 ^ [], 673 ^ []]]))).
% 1.63/2.40  ncf('1.2.4.2.1.1',plain,[-(m1_relset_1(681 ^ [], 673 ^ [], 674 ^ [])), m2_relset_1(681 ^ [], 673 ^ [], 674 ^ [])],extension(590 ^ 5,bind([[_149285, _149287, _149289], [681 ^ [], 674 ^ [], 673 ^ []]]))).
% 1.63/2.40  ncf('1.2.4.2.1.1.1',plain,[-(m2_relset_1(681 ^ [], 673 ^ [], 674 ^ []))],extension(683 ^ 6)).
% 1.63/2.40  %-----------------------------------------------------
% 1.63/2.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------