TSTP Solution File: SEU424+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 12:03:32 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n001.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 14:13:34 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(527 ^ _86518) ^ [] : [v1_xboole_0(525 ^ [])], (531 ^ _86518) ^ [] : [-(m1_subset_1(529 ^ [], k1_zfmisc_1(525 ^ [])))], (534 ^ _86518) ^ [] : [-(m2_relset_1(532 ^ [], 525 ^ [], 528 ^ []))], (536 ^ _86518) ^ [] : [m1_subset_1(a_4_0_relset_2(525 ^ [], 528 ^ [], 529 ^ [], 532 ^ []), k1_zfmisc_1(k1_zfmisc_1(528 ^ [])))], (128 ^ _86518) ^ [_90721, _90723] : [_90723 = _90721, -(k1_tarski(_90723) = k1_tarski(_90721))], (134 ^ _86518) ^ [_90967, _90969, _90971, _90973] : [-(k2_zfmisc_1(_90973, _90969) = k2_zfmisc_1(_90971, _90967)), _90973 = _90971, _90969 = _90967], (144 ^ _86518) ^ [_91382, _91384, _91386, _91388, _91390, _91392, _91394, _91396] : [-(k2_relset_2(_91396, _91392, _91388, _91384) = k2_relset_2(_91394, _91390, _91386, _91382)), _91396 = _91394, _91392 = _91390, _91388 = _91386, _91384 = _91382], (162 ^ _86518) ^ [_92071, _92073, _92075, _92077, _92079, _92081, _92083, _92085] : [-(k10_relset_1(_92085, _92081, _92077, _92073) = k10_relset_1(_92083, _92079, _92075, _92071)), _92085 = _92083, _92081 = _92079, _92077 = _92075, _92073 = _92071], (180 ^ _86518) ^ [_92704, _92706, _92708, _92710] : [-(k9_relat_1(_92710, _92706) = k9_relat_1(_92708, _92704)), _92710 = _92708, _92706 = _92704], (208 ^ _86518) ^ [_93704, _93706] : [_93706 = _93704, -(k1_zfmisc_1(_93706) = k1_zfmisc_1(_93704))], (190 ^ _86518) ^ [_93119, _93121, _93123, _93125, _93127, _93129, _93131, _93133] : [-(a_4_0_relset_2(_93133, _93129, _93125, _93121) = a_4_0_relset_2(_93131, _93127, _93123, _93119)), _93133 = _93131, _93129 = _93127, _93125 = _93123, _93121 = _93119], (2 ^ _86518) ^ [_86662] : [-(_86662 = _86662)], (4 ^ _86518) ^ [_86769, _86771] : [_86771 = _86769, -(_86769 = _86771)], (10 ^ _86518) ^ [_86973, _86975, _86977] : [-(_86977 = _86973), _86977 = _86975, _86975 = _86973], (20 ^ _86518) ^ [_87286, _87288] : [-(v1_relat_1(_87286)), _87288 = _87286, v1_relat_1(_87288)], (30 ^ _86518) ^ [_87581, _87583] : [-(v3_relat_1(_87581)), _87583 = _87581, v3_relat_1(_87583)], (40 ^ _86518) ^ [_87932, _87934, _87936, _87938, _87940, _87942] : [-(m1_relset_1(_87940, _87936, _87932)), m1_relset_1(_87942, _87938, _87934), _87942 = _87940, _87938 = _87936, _87934 = _87932], (58 ^ _86518) ^ [_88513, _88515, _88517, _88519] : [-(r1_tarski(_88517, _88513)), r1_tarski(_88519, _88515), _88519 = _88517, _88515 = _88513], (72 ^ _86518) ^ [_88957, _88959, _88961, _88963] : [-(r2_hidden(_88961, _88957)), r2_hidden(_88963, _88959), _88963 = _88961, _88959 = _88957], (86 ^ _86518) ^ [_89373, _89375] : [-(v1_xboole_0(_89373)), _89375 = _89373, v1_xboole_0(_89375)], (114 ^ _86518) ^ [_90285, _90287, _90289, _90291] : [-(m1_subset_1(_90289, _90285)), m1_subset_1(_90291, _90287), _90291 = _90289, _90287 = _90285], (96 ^ _86518) ^ [_89724, _89726, _89728, _89730, _89732, _89734] : [-(m2_relset_1(_89732, _89728, _89724)), m2_relset_1(_89734, _89730, _89726), _89734 = _89732, _89730 = _89728, _89726 = _89724], (214 ^ _86518) ^ [_93948, _93950] : [r2_hidden(_93950, _93948), r2_hidden(_93948, _93950)], (220 ^ _86518) ^ [_94145] : [v1_xboole_0(_94145), -(v1_relat_1(_94145))], (226 ^ _86518) ^ [_94359, _94361, _94363] : [m1_subset_1(_94359, k1_zfmisc_1(k2_zfmisc_1(_94363, _94361))), -(v1_relat_1(_94359))], (232 ^ _86518) ^ [_94597, _94599, _94601] : [m2_relset_1(_94597, _94601, _94599), 235 ^ _86518 : [(236 ^ _86518) ^ [_94752] : [m1_subset_1(_94752, _94601), -(k2_relset_2(_94601, _94599, _94597, _94752) = k10_relset_1(_94601, _94599, _94597, k1_tarski(_94752)))]]], (242 ^ _86518) ^ [_95037, _95039, _95041, _95043] : [m1_relset_1(_95039, _95043, _95041), -(m1_subset_1(k10_relset_1(_95043, _95041, _95039, _95037), k1_zfmisc_1(_95041)))], (248 ^ _86518) ^ [] : [true___, -(true___)], (254 ^ _86518) ^ [] : [true___, -(true___)], (260 ^ _86518) ^ [] : [true___, -(true___)], (266 ^ _86518) ^ [_95660, _95662, _95664, _95666] : [-(m1_subset_1(k2_relset_2(_95666, _95664, _95662, _95660), k1_zfmisc_1(_95664))), m1_relset_1(_95662, _95666, _95664), m1_subset_1(_95660, _95666)], (276 ^ _86518) ^ [] : [true___, -(true___)], (282 ^ _86518) ^ [] : [true___, -(true___)], (288 ^ _86518) ^ [] : [true___, -(true___)], (294 ^ _86518) ^ [] : [true___, -(true___)], (300 ^ _86518) ^ [_96485, _96487, _96489] : [m2_relset_1(_96485, _96489, _96487), -(m1_subset_1(_96485, k1_zfmisc_1(k2_zfmisc_1(_96489, _96487))))], (307 ^ _86518) ^ [_96740, _96742] : [-(m1_relset_1(305 ^ [_96740, _96742], _96742, _96740))], (310 ^ _86518) ^ [_96867] : [-(m1_subset_1(308 ^ [_96867], _96867))], (313 ^ _86518) ^ [_97006, _97008] : [-(m2_relset_1(311 ^ [_97006, _97008], _97008, _97006))], (315 ^ _86518) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (317 ^ _86518) ^ [] : [-(v1_relat_1(k1_xboole_0))], (319 ^ _86518) ^ [] : [-(v3_relat_1(k1_xboole_0))], (321 ^ _86518) ^ [_97256] : [v1_xboole_0(k1_zfmisc_1(_97256))], (323 ^ _86518) ^ [_97349, _97351] : [-(v1_relat_1(k2_zfmisc_1(_97351, _97349)))], (325 ^ _86518) ^ [_97430] : [v1_xboole_0(k1_tarski(_97430))], (327 ^ _86518) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (329 ^ _86518) ^ [] : [-(v1_relat_1(k1_xboole_0))], (331 ^ _86518) ^ [_97646, _97648] : [v1_xboole_0(k2_zfmisc_1(_97648, _97646)), -(v1_xboole_0(_97648)), -(v1_xboole_0(_97646))], (341 ^ _86518) ^ [_97994, _97996, _97998, _98000, _98002] : [-(v1_xboole_0(_98000)), m1_subset_1(_97996, k1_zfmisc_1(_98000)), m2_relset_1(_97994, _98000, _97998), 352 ^ _86518 : [(353 ^ _86518) ^ [] : [r2_hidden(_98002, a_4_0_relset_2(_98000, _97998, _97996, _97994)), 357 ^ _86518 : [(358 ^ _86518) ^ [] : [-(m1_subset_1(356 ^ [_97994, _97996, _97998, _98000, _98002], _98000))], (360 ^ _86518) ^ [] : [-(_98002 = k2_relset_2(_98000, _97998, _97994, 356 ^ [_97994, _97996, _97998, _98000, _98002]))], (362 ^ _86518) ^ [] : [-(r2_hidden(356 ^ [_97994, _97996, _97998, _98000, _98002], _97996))]]], (364 ^ _86518) ^ [] : [-(r2_hidden(_98002, a_4_0_relset_2(_98000, _97998, _97996, _97994))), 365 ^ _86518 : [(366 ^ _86518) ^ [_98862] : [m1_subset_1(_98862, _98000), _98002 = k2_relset_2(_98000, _97998, _97994, _98862), r2_hidden(_98862, _97996)]]]]], (379 ^ _86518) ^ [] : [-(v1_xboole_0(377 ^ []))], (381 ^ _86518) ^ [] : [-(v1_relat_1(377 ^ []))], (383 ^ _86518) ^ [_99428] : [-(v1_xboole_0(_99428)), 387 ^ _86518 : [(388 ^ _86518) ^ [] : [-(m1_subset_1(386 ^ [_99428], k1_zfmisc_1(_99428)))], (390 ^ _86518) ^ [] : [v1_xboole_0(386 ^ [_99428])]]], (393 ^ _86518) ^ [] : [v1_xboole_0(391 ^ [])], (395 ^ _86518) ^ [] : [-(v1_relat_1(391 ^ []))], (398 ^ _86518) ^ [_99961] : [-(m1_subset_1(396 ^ [_99961], k1_zfmisc_1(_99961)))], (400 ^ _86518) ^ [_100012] : [-(v1_xboole_0(396 ^ [_100012]))], (403 ^ _86518) ^ [] : [-(v1_relat_1(401 ^ []))], (405 ^ _86518) ^ [] : [-(v3_relat_1(401 ^ []))], (407 ^ _86518) ^ [_100302, _100304, _100306, _100308] : [m1_relset_1(_100304, _100308, _100306), -(k10_relset_1(_100308, _100306, _100304, _100302) = k9_relat_1(_100304, _100302))], (413 ^ _86518) ^ [_100585, _100587, _100589] : [m2_relset_1(_100585, _100589, _100587), -(m1_relset_1(_100585, _100589, _100587))], (419 ^ _86518) ^ [_100757, _100759, _100761] : [m1_relset_1(_100757, _100761, _100759), -(m2_relset_1(_100757, _100761, _100759))], (425 ^ _86518) ^ [_100964, _100966] : [-(r1_tarski(_100966, _100966))], (427 ^ _86518) ^ [_101101, _101103, _101105, _101107] : [-(m1_subset_1(a_4_0_relset_2(_101107, _101105, _101103, _101101), k1_zfmisc_1(k1_zfmisc_1(_101105)))), -(v1_xboole_0(_101107)), m1_subset_1(_101103, k1_zfmisc_1(_101107)), m2_relset_1(_101101, _101107, _101105)], (441 ^ _86518) ^ [_101542, _101544] : [r2_hidden(_101544, _101542), -(m1_subset_1(_101544, _101542))], (447 ^ _86518) ^ [_101752, _101754] : [m1_subset_1(_101754, _101752), -(v1_xboole_0(_101752)), -(r2_hidden(_101754, _101752))], (457 ^ _86518) ^ [_102050, _102052] : [-(_102052 = _102050), 461 ^ _86518 : [(462 ^ _86518) ^ [] : [-(r2_hidden(458 ^ [_102050, _102052], _102052))], (464 ^ _86518) ^ [] : [r2_hidden(458 ^ [_102050, _102052], _102050)]], 465 ^ _86518 : [(466 ^ _86518) ^ [] : [-(r2_hidden(458 ^ [_102050, _102052], _102050))], (468 ^ _86518) ^ [] : [r2_hidden(458 ^ [_102050, _102052], _102052)]]], (472 ^ _86518) ^ [_102609, _102611] : [m1_subset_1(_102611, k1_zfmisc_1(_102609)), -(r1_tarski(_102611, _102609))], (478 ^ _86518) ^ [_102775, _102777] : [r1_tarski(_102777, _102775), -(m1_subset_1(_102777, k1_zfmisc_1(_102775)))], (484 ^ _86518) ^ [_103005, _103007, _103009] : [-(m1_subset_1(_103009, _103005)), r2_hidden(_103009, _103007), m1_subset_1(_103007, k1_zfmisc_1(_103005))], (494 ^ _86518) ^ [_103332, _103334, _103336] : [r2_hidden(_103336, _103334), m1_subset_1(_103334, k1_zfmisc_1(_103332)), v1_xboole_0(_103332)], (504 ^ _86518) ^ [_103628] : [v1_xboole_0(_103628), -(_103628 = k1_xboole_0)], (510 ^ _86518) ^ [_103830, _103832] : [r2_hidden(_103832, _103830), v1_xboole_0(_103830)], (516 ^ _86518) ^ [_104017, _104019] : [v1_xboole_0(_104019), -(_104019 = _104017), v1_xboole_0(_104017)]], input).
% 0.31/1.38  ncf('1',plain,[v1_xboole_0(525 ^ [])],start(527 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(v1_xboole_0(525 ^ [])), -(m1_subset_1(a_4_0_relset_2(525 ^ [], 528 ^ [], 529 ^ [], 532 ^ []), k1_zfmisc_1(k1_zfmisc_1(528 ^ [])))), m1_subset_1(529 ^ [], k1_zfmisc_1(525 ^ [])), m2_relset_1(532 ^ [], 525 ^ [], 528 ^ [])],extension(427 ^ 1,bind([[_101101, _101103, _101105, _101107], [532 ^ [], 529 ^ [], 528 ^ [], 525 ^ []]]))).
% 0.31/1.38  ncf('1.1.1',plain,[m1_subset_1(a_4_0_relset_2(525 ^ [], 528 ^ [], 529 ^ [], 532 ^ []), k1_zfmisc_1(k1_zfmisc_1(528 ^ [])))],extension(536 ^ 2)).
% 0.31/1.38  ncf('1.1.2',plain,[-(m1_subset_1(529 ^ [], k1_zfmisc_1(525 ^ [])))],extension(531 ^ 2)).
% 0.31/1.38  ncf('1.1.3',plain,[-(m2_relset_1(532 ^ [], 525 ^ [], 528 ^ []))],extension(534 ^ 2)).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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