TSTP Solution File: SEU444+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 12:04:40 EDT 2023
% Result : Theorem 0.31s 1.36s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 18 13:56:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.31/1.36
% 0.31/1.36 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.31/1.36 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.36 %-----------------------------------------------------
% 0.31/1.36 ncf(matrix, plain, [(483 ^ _81323) ^ [] : [-(m2_relset_1(481 ^ [], 480 ^ [], 479 ^ []))], (485 ^ _81323) ^ [] : [k1_funct_5(481 ^ []) = k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), 479 ^ []), k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ [])) = k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k2_funct_5(481 ^ []))], (128 ^ _81323) ^ [_85554, _85556, _85558, _85560] : [-(k9_relat_1(_85560, _85556) = k9_relat_1(_85558, _85554)), _85560 = _85558, _85556 = _85554], (138 ^ _81323) ^ [_85885, _85887] : [_85887 = _85885, -(k4_relat_1(_85887) = k4_relat_1(_85885))], (144 ^ _81323) ^ [_86103, _86105] : [_86105 = _86103, -(k1_zfmisc_1(_86105) = k1_zfmisc_1(_86103))], (150 ^ _81323) ^ [_86349, _86351, _86353, _86355] : [-(k2_zfmisc_1(_86355, _86351) = k2_zfmisc_1(_86353, _86349)), _86355 = _86353, _86351 = _86349], (160 ^ _81323) ^ [_86680, _86682] : [_86682 = _86680, -(k1_funct_5(_86682) = k1_funct_5(_86680))], (166 ^ _81323) ^ [_86982, _86984, _86986, _86988, _86990, _86992, _86994, _86996] : [-(k10_relset_1(_86996, _86992, _86988, _86984) = k10_relset_1(_86994, _86990, _86986, _86982)), _86996 = _86994, _86992 = _86990, _86988 = _86986, _86984 = _86982], (198 ^ _81323) ^ [_88083, _88085] : [_88085 = _88083, -(k2_funct_5(_88085) = k2_funct_5(_88083))], (184 ^ _81323) ^ [_87643, _87645, _87647, _87649, _87651, _87653] : [-(k6_relset_1(_87653, _87649, _87645) = k6_relset_1(_87651, _87647, _87643)), _87653 = _87651, _87649 = _87647, _87645 = _87643], (2 ^ _81323) ^ [_81467] : [-(_81467 = _81467)], (4 ^ _81323) ^ [_81574, _81576] : [_81576 = _81574, -(_81574 = _81576)], (10 ^ _81323) ^ [_81778, _81780, _81782] : [-(_81782 = _81778), _81782 = _81780, _81780 = _81778], (20 ^ _81323) ^ [_82091, _82093] : [-(v3_relat_1(_82091)), _82093 = _82091, v3_relat_1(_82093)], (30 ^ _81323) ^ [_82414, _82416, _82418, _82420] : [-(r2_hidden(_82418, _82414)), r2_hidden(_82420, _82416), _82420 = _82418, _82416 = _82414], (44 ^ _81323) ^ [_82830, _82832] : [-(v1_xboole_0(_82830)), _82832 = _82830, v1_xboole_0(_82832)], (54 ^ _81323) ^ [_83125, _83127] : [-(v1_relat_1(_83125)), _83127 = _83125, v1_relat_1(_83127)], (64 ^ _81323) ^ [_83448, _83450, _83452, _83454] : [-(r1_tarski(_83452, _83448)), r1_tarski(_83454, _83450), _83454 = _83452, _83450 = _83448], (78 ^ _81323) ^ [_83920, _83922, _83924, _83926, _83928, _83930] : [-(m1_relset_1(_83928, _83924, _83920)), m1_relset_1(_83930, _83926, _83922), _83930 = _83928, _83926 = _83924, _83922 = _83920], (96 ^ _81323) ^ [_84501, _84503, _84505, _84507] : [-(m1_subset_1(_84505, _84501)), m1_subset_1(_84507, _84503), _84507 = _84505, _84503 = _84501], (110 ^ _81323) ^ [_84953, _84955, _84957, _84959, _84961, _84963] : [-(m2_relset_1(_84961, _84957, _84953)), m2_relset_1(_84963, _84959, _84955), _84963 = _84961, _84959 = _84957, _84955 = _84953], (205 ^ _81323) ^ [] : [-(v1_relat_1(203 ^ []))], (207 ^ _81323) ^ [] : [-(v3_relat_1(203 ^ []))], (209 ^ _81323) ^ [_88480, _88482] : [r2_hidden(_88482, _88480), r2_hidden(_88480, _88482)], (215 ^ _81323) ^ [] : [true___, -(true___)], (221 ^ _81323) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (223 ^ _81323) ^ [] : [-(v1_relat_1(k1_xboole_0))], (225 ^ _81323) ^ [] : [-(v3_relat_1(k1_xboole_0))], (227 ^ _81323) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (229 ^ _81323) ^ [] : [-(v1_relat_1(k1_xboole_0))], (231 ^ _81323) ^ [_89081, _89083] : [r2_hidden(_89083, _89081), -(m1_subset_1(_89083, _89081))], (237 ^ _81323) ^ [_89305, _89307, _89309] : [-(m1_subset_1(_89309, _89305)), r2_hidden(_89309, _89307), m1_subset_1(_89307, k1_zfmisc_1(_89305))], (247 ^ _81323) ^ [_89632, _89634, _89636] : [r2_hidden(_89636, _89634), m1_subset_1(_89634, k1_zfmisc_1(_89632)), v1_xboole_0(_89632)], (257 ^ _81323) ^ [_89927, _89929] : [-(r1_tarski(_89929, _89929))], (259 ^ _81323) ^ [_90022] : [v1_xboole_0(_90022), -(v1_relat_1(_90022))], (265 ^ _81323) ^ [_90208] : [v1_xboole_0(_90208), 268 ^ _81323 : [(269 ^ _81323) ^ [] : [-(v1_xboole_0(k4_relat_1(_90208)))], (271 ^ _81323) ^ [] : [-(v1_relat_1(k4_relat_1(_90208)))]]], (273 ^ _81323) ^ [_90487, _90489] : [v1_xboole_0(k2_zfmisc_1(_90489, _90487)), -(v1_xboole_0(_90489)), -(v1_xboole_0(_90487))], (284 ^ _81323) ^ [] : [-(v1_xboole_0(282 ^ []))], (286 ^ _81323) ^ [] : [-(v1_relat_1(282 ^ []))], (288 ^ _81323) ^ [_90928] : [-(v1_xboole_0(_90928)), 292 ^ _81323 : [(293 ^ _81323) ^ [] : [-(m1_subset_1(291 ^ [_90928], k1_zfmisc_1(_90928)))], (295 ^ _81323) ^ [] : [v1_xboole_0(291 ^ [_90928])]]], (298 ^ _81323) ^ [] : [v1_xboole_0(296 ^ [])], (300 ^ _81323) ^ [] : [-(v1_relat_1(296 ^ []))], (303 ^ _81323) ^ [_91461] : [-(m1_subset_1(301 ^ [_91461], k1_zfmisc_1(_91461)))], (305 ^ _81323) ^ [_91512] : [-(v1_xboole_0(301 ^ [_91512]))], (307 ^ _81323) ^ [_91625, _91627] : [m1_subset_1(_91627, _91625), -(v1_xboole_0(_91625)), -(r2_hidden(_91627, _91625))], (317 ^ _81323) ^ [_91909] : [v1_xboole_0(_91909), -(_91909 = k1_xboole_0)], (323 ^ _81323) ^ [_92111, _92113] : [r2_hidden(_92113, _92111), v1_xboole_0(_92111)], (329 ^ _81323) ^ [_92318, _92320] : [v1_xboole_0(_92320), -(_92320 = _92318), v1_xboole_0(_92318)], (339 ^ _81323) ^ [_92601] : [v1_relat_1(_92601), -(k4_relat_1(k4_relat_1(_92601)) = _92601)], (346 ^ _81323) ^ [_92838, _92840] : [-(m1_relset_1(344 ^ [_92838, _92840], _92840, _92838))], (349 ^ _81323) ^ [_92965] : [-(m1_subset_1(347 ^ [_92965], _92965))], (351 ^ _81323) ^ [] : [true___, -(true___)], (357 ^ _81323) ^ [] : [true___, -(true___)], (363 ^ _81323) ^ [_93301] : [v1_relat_1(_93301), -(v1_relat_1(k4_relat_1(_93301)))], (369 ^ _81323) ^ [] : [true___, -(true___)], (375 ^ _81323) ^ [] : [true___, -(true___)], (381 ^ _81323) ^ [] : [true___, -(true___)], (387 ^ _81323) ^ [_93876, _93878, _93880] : [m1_subset_1(_93876, k1_zfmisc_1(k2_zfmisc_1(_93880, _93878))), -(v1_relat_1(_93876))], (393 ^ _81323) ^ [_94070] : [v1_xboole_0(k1_zfmisc_1(_94070))], (395 ^ _81323) ^ [_94163, _94165] : [-(v1_relat_1(k2_zfmisc_1(_94165, _94163)))], (397 ^ _81323) ^ [_94303, _94305] : [m1_subset_1(_94305, k1_zfmisc_1(_94303)), -(r1_tarski(_94305, _94303))], (403 ^ _81323) ^ [_94469, _94471] : [r1_tarski(_94471, _94469), -(m1_subset_1(_94471, k1_zfmisc_1(_94469)))], (409 ^ _81323) ^ [_94699, _94701, _94703] : [m1_relset_1(_94699, _94703, _94701), -(k6_relset_1(_94703, _94701, k6_relset_1(_94703, _94701, _94699)) = _94699)], (416 ^ _81323) ^ [_94960, _94962] : [-(m2_relset_1(414 ^ [_94960, _94962], _94962, _94960))], (418 ^ _81323) ^ [_95105, _95107, _95109, _95111] : [m1_relset_1(_95107, _95111, _95109), -(k10_relset_1(_95111, _95109, _95107, _95105) = k9_relat_1(_95107, _95105))], (424 ^ _81323) ^ [_95359, _95361, _95363] : [m1_relset_1(_95359, _95363, _95361), -(k6_relset_1(_95363, _95361, _95359) = k4_relat_1(_95359))], (430 ^ _81323) ^ [_95632, _95634, _95636] : [m2_relset_1(_95632, _95636, _95634), -(m1_relset_1(_95632, _95636, _95634))], (436 ^ _81323) ^ [_95804, _95806, _95808] : [m1_relset_1(_95804, _95808, _95806), -(m2_relset_1(_95804, _95808, _95806))], (442 ^ _81323) ^ [_96054, _96056, _96058, _96060] : [m1_relset_1(_96056, _96060, _96058), -(m1_subset_1(k10_relset_1(_96060, _96058, _96056, _96054), k1_zfmisc_1(_96058)))], (448 ^ _81323) ^ [] : [true___, -(true___)], (454 ^ _81323) ^ [] : [true___, -(true___)], (460 ^ _81323) ^ [_96544, _96546, _96548] : [m1_relset_1(_96544, _96548, _96546), -(m2_relset_1(k6_relset_1(_96548, _96546, _96544), _96546, _96548))], (466 ^ _81323) ^ [_96786, _96788, _96790] : [m2_relset_1(_96786, _96790, _96788), -(m1_subset_1(_96786, k1_zfmisc_1(k2_zfmisc_1(_96790, _96788))))], (472 ^ _81323) ^ [_97008, _97010, _97012] : [m2_relset_1(_97008, _97010, _97012), 475 ^ _81323 : [(476 ^ _81323) ^ [] : [-(k1_funct_5(_97008) = k10_relset_1(_97012, _97010, k6_relset_1(_97010, _97012, _97008), _97012))], (478 ^ _81323) ^ [] : [-(k2_funct_5(_97008) = k10_relset_1(_97010, _97012, _97008, _97010))]]]], input).
% 0.31/1.36 ncf('1',plain,[k1_funct_5(481 ^ []) = k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), 479 ^ []), k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ [])) = k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k2_funct_5(481 ^ []))],start(485 ^ 0)).
% 0.31/1.36 ncf('1.1',plain,[-(k1_funct_5(481 ^ []) = k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), 479 ^ [])), m2_relset_1(481 ^ [], 480 ^ [], 479 ^ [])],extension(472 ^ 1,bind([[_97008, _97010, _97012], [481 ^ [], 480 ^ [], 479 ^ []]]))).
% 0.31/1.36 ncf('1.1.1',plain,[-(m2_relset_1(481 ^ [], 480 ^ [], 479 ^ []))],extension(483 ^ 2)).
% 0.31/1.36 ncf('1.2',plain,[-(k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ [])) = k10_relset_1(479 ^ [], 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k2_funct_5(481 ^ []))), 479 ^ [] = 479 ^ [], 480 ^ [] = 480 ^ [], k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []) = k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ []) = k2_funct_5(481 ^ [])],extension(166 ^ 1,bind([[_86982, _86984, _86986, _86988, _86990, _86992, _86994, _86996], [k2_funct_5(481 ^ []), k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ []), k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []), 480 ^ [], 480 ^ [], 479 ^ [], 479 ^ []]]))).
% 0.31/1.36 ncf('1.2.1',plain,[-(479 ^ [] = 479 ^ [])],extension(2 ^ 2,bind([[_81467], [479 ^ []]]))).
% 0.31/1.36 ncf('1.2.2',plain,[-(480 ^ [] = 480 ^ [])],extension(2 ^ 2,bind([[_81467], [480 ^ []]]))).
% 0.31/1.36 ncf('1.2.3',plain,[-(k6_relset_1(480 ^ [], 479 ^ [], 481 ^ []) = k6_relset_1(480 ^ [], 479 ^ [], 481 ^ [])), 480 ^ [] = 480 ^ [], 479 ^ [] = 479 ^ [], 481 ^ [] = 481 ^ []],extension(184 ^ 2,bind([[_87643, _87645, _87647, _87649, _87651, _87653], [481 ^ [], 481 ^ [], 479 ^ [], 479 ^ [], 480 ^ [], 480 ^ []]]))).
% 0.31/1.36 ncf('1.2.3.1',plain,[-(480 ^ [] = 480 ^ [])],lemmata('[1].x')).
% 0.31/1.36 ncf('1.2.3.2',plain,[-(479 ^ [] = 479 ^ [])],lemmata('[1].x')).
% 0.31/1.36 ncf('1.2.3.3',plain,[-(481 ^ [] = 481 ^ [])],extension(2 ^ 3,bind([[_81467], [481 ^ []]]))).
% 0.31/1.36 ncf('1.2.4',plain,[-(k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ []) = k2_funct_5(481 ^ [])), k2_funct_5(481 ^ []) = k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ [])],extension(4 ^ 2,bind([[_81574, _81576], [k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ []), k2_funct_5(481 ^ [])]]))).
% 0.31/1.36 ncf('1.2.4.1',plain,[-(k2_funct_5(481 ^ []) = k10_relset_1(480 ^ [], 479 ^ [], 481 ^ [], 480 ^ [])), m2_relset_1(481 ^ [], 480 ^ [], 479 ^ [])],extension(472 ^ 3,bind([[_97008, _97010, _97012], [481 ^ [], 480 ^ [], 479 ^ []]]))).
% 0.31/1.36 ncf('1.2.4.1.1',plain,[-(m2_relset_1(481 ^ [], 480 ^ [], 479 ^ []))],extension(483 ^ 4)).
% 0.31/1.36 %-----------------------------------------------------
% 0.31/1.36 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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