TSTP Solution File: SEU430+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n026.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 12:03:35 EDT 2023

% Result   : Theorem 72.68s 70.78s
% Output   : Proof 72.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU430+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 13:58:50 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 72.68/70.78  
% 72.68/70.78  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 72.68/70.78  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.68/70.78  %-----------------------------------------------------
% 72.68/70.78  ncf(matrix, plain, [(340 ^ _66645) ^ [] : [341 ^ _66645 : [(347 ^ _66645) ^ [] : [343 ^ [] = k1_xboole_0], (345 ^ _66645) ^ [] : [-(r2_hidden(343 ^ [], 336 ^ []))], (342 ^ _66645) ^ [] : [-(k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0)]], 348 ^ _66645 : [(349 ^ _66645) ^ [_67001] : [r2_hidden(_67001, 336 ^ []), -(_67001 = k1_xboole_0)], (355 ^ _66645) ^ [] : [k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0]]], (338 ^ _66645) ^ [] : [-(m1_subset_1(336 ^ [], k1_zfmisc_1(k1_zfmisc_1(335 ^ []))))], !, (132 ^ _55433) ^ [_59770] : [-(r2_hidden(133 ^ [_59770], _59770)), -(_59770 = k1_xboole_0)], (221 ^ _55433) ^ [] : [-(v3_relat_1(k1_xboole_0))], (217 ^ _55433) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (2 ^ _55433) ^ [_55557] : [-(_55557 = _55557)], (294 ^ _55433) ^ [_65164, _65166, _65168] : [-(m1_subset_1(_65168, _65164)), r2_hidden(_65168, _65166), m1_subset_1(_65166, k1_zfmisc_1(_65164))], (120 ^ _55433) ^ [_59376] : [v1_xboole_0(_59376), -(v1_relat_1(_59376))], (196 ^ _55433) ^ [] : [true___, -(true___)], (304 ^ _55433) ^ [_65491, _65493, _65495] : [r2_hidden(_65495, _65493), m1_subset_1(_65493, k1_zfmisc_1(_65491)), v1_xboole_0(_65491)], (326 ^ _55433) ^ [_66176, _66178] : [v1_xboole_0(_66178), -(_66178 = _66176), v1_xboole_0(_66176)], (219 ^ _55433) ^ [] : [-(v1_relat_1(k1_xboole_0))], (20 ^ _55433) ^ [_56181, _56183] : [-(v1_relat_1(_56181)), _56183 = _56181, v1_relat_1(_56183)], (54 ^ _55433) ^ [_57215, _57217] : [-(v1_xboole_0(_57215)), _57217 = _57215, v1_xboole_0(_57217)], (114 ^ _55433) ^ [_59179, _59181] : [r2_hidden(_59181, _59179), r2_hidden(_59179, _59181)], (256 ^ _55433) ^ [] : [-(v3_relat_1(252 ^ []))], (288 ^ _55433) ^ [_64934, _64936] : [r1_tarski(_64936, _64934), -(m1_subset_1(_64936, k1_zfmisc_1(_64934)))], (215 ^ _55433) ^ [_62467] : [-(m1_subset_1(213 ^ [_62467], _62467))], (184 ^ _55433) ^ [] : [true___, -(true___)], (272 ^ _55433) ^ [_64441, _64443] : [m1_subset_1(_64443, _64441), -(v1_xboole_0(_64441)), -(r2_hidden(_64443, _64441))], (234 ^ _55433) ^ [_63063] : [-(v1_xboole_0(_63063)), 238 ^ _55433 : [(241 ^ _55433) ^ [] : [v1_xboole_0(237 ^ [_63063])], (239 ^ _55433) ^ [] : [-(m1_subset_1(237 ^ [_63063], k1_zfmisc_1(_63063)))]]], (230 ^ _55433) ^ [] : [-(v1_xboole_0(228 ^ []))], (92 ^ _55433) ^ [_58394, _58396] : [_58396 = _58394, -(k3_tarski(_58396) = k3_tarski(_58394))], (320 ^ _55433) ^ [_65989, _65991] : [r2_hidden(_65991, _65989), v1_xboole_0(_65989)], (78 ^ _55433) ^ [_57962, _57964, _57966, _57968] : [-(r2_hidden(_57966, _57962)), r2_hidden(_57968, _57964), _57968 = _57966, _57964 = _57962], (30 ^ _55433) ^ [_56476, _56478] : [-(v3_relat_1(_56476)), _56478 = _56476, v3_relat_1(_56478)], (104 ^ _55433) ^ [_58838, _58840, _58842, _58844] : [-(k5_setfam_1(_58844, _58840) = k5_setfam_1(_58842, _58838)), _58844 = _58842, _58840 = _58838], (258 ^ _55433) ^ [_63909, _63911] : [m1_subset_1(_63909, k1_zfmisc_1(k1_zfmisc_1(_63911))), -(k5_setfam_1(_63911, _63909) = k3_tarski(_63909))], (314 ^ _55433) ^ [_65787] : [v1_xboole_0(_65787), -(_65787 = k1_xboole_0)], (162 ^ _55433) ^ [_60906, _60908] : [-(_60906 = k3_tarski(_60908)), 175 ^ _55433 : [(180 ^ _55433) ^ [] : [r2_hidden(163 ^ [_60906, _60908], _60906)], (178 ^ _55433) ^ [] : [-(r2_hidden(174 ^ [_60906, _60908], _60908))], (176 ^ _55433) ^ [] : [-(r2_hidden(163 ^ [_60906, _60908], 174 ^ [_60906, _60908]))]], 166 ^ _55433 : [(169 ^ _55433) ^ [_61189] : [r2_hidden(163 ^ [_60906, _60908], _61189), r2_hidden(_61189, _60908)], (167 ^ _55433) ^ [] : [-(r2_hidden(163 ^ [_60906, _60908], _60906))]]], (208 ^ _55433) ^ [] : [true___, -(true___)], (251 ^ _55433) ^ [_63647] : [-(v1_xboole_0(247 ^ [_63647]))], (4 ^ _55433) ^ [_55664, _55666] : [_55666 = _55664, -(_55664 = _55666)], (266 ^ _55433) ^ [_64231, _64233] : [r2_hidden(_64233, _64231), -(m1_subset_1(_64233, _64231))], (227 ^ _55433) ^ [] : [-(v1_relat_1(k1_xboole_0))], (64 ^ _55433) ^ [_57538, _57540, _57542, _57544] : [-(m1_subset_1(_57542, _57538)), m1_subset_1(_57544, _57540), _57544 = _57542, _57540 = _57538], (98 ^ _55433) ^ [_58612, _58614] : [_58614 = _58612, -(k1_zfmisc_1(_58614) = k1_zfmisc_1(_58612))], (254 ^ _55433) ^ [] : [-(v1_relat_1(252 ^ []))], (190 ^ _55433) ^ [] : [true___, -(true___)], (223 ^ _55433) ^ [_62712] : [v1_xboole_0(k1_zfmisc_1(_62712))], (264 ^ _55433) ^ [_64122, _64124] : [-(r1_tarski(_64124, _64124))], (225 ^ _55433) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (202 ^ _55433) ^ [_62110, _62112] : [m1_subset_1(_62110, k1_zfmisc_1(k1_zfmisc_1(_62112))), -(m1_subset_1(k5_setfam_1(_62112, _62110), k1_zfmisc_1(_62112)))], (139 ^ _55433) ^ [_60061, _60063] : [_60061 = k3_tarski(_60063), 142 ^ _55433 : [(152 ^ _55433) ^ [_60569] : [-(r2_hidden(_60569, _60061)), 153 ^ _55433 : [(154 ^ _55433) ^ [_60667] : [r2_hidden(_60569, _60667), r2_hidden(_60667, _60063)]]], (143 ^ _55433) ^ [_60242] : [r2_hidden(_60242, _60061), 147 ^ _55433 : [(150 ^ _55433) ^ [] : [-(r2_hidden(146 ^ [_60061, _60063, _60242], _60063))], (148 ^ _55433) ^ [] : [-(r2_hidden(_60242, 146 ^ [_60061, _60063, _60242]))]]]]], (232 ^ _55433) ^ [] : [-(v1_relat_1(228 ^ []))], (249 ^ _55433) ^ [_63596] : [-(m1_subset_1(247 ^ [_63596], k1_zfmisc_1(_63596)))], (246 ^ _55433) ^ [] : [-(v1_relat_1(242 ^ []))], (40 ^ _55433) ^ [_56799, _56801, _56803, _56805] : [-(r1_tarski(_56803, _56799)), r1_tarski(_56805, _56801), _56805 = _56803, _56801 = _56799], (126 ^ _55433) ^ [_59591] : [_59591 = k1_xboole_0, 129 ^ _55433 : [(130 ^ _55433) ^ [_59704] : [r2_hidden(_59704, _59591)]]], (244 ^ _55433) ^ [] : [v1_xboole_0(242 ^ [])], (282 ^ _55433) ^ [_64768, _64770] : [m1_subset_1(_64770, k1_zfmisc_1(_64768)), -(r1_tarski(_64770, _64768))], (10 ^ _55433) ^ [_55868, _55870, _55872] : [-(_55872 = _55868), _55872 = _55870, _55870 = _55868]], input).
% 72.68/70.78  ncf('1',plain,[-(m1_subset_1(336 ^ [], k1_zfmisc_1(k1_zfmisc_1(335 ^ []))))],start(338 ^ 0)).
% 72.68/70.78  ncf('1.1',plain,[m1_subset_1(336 ^ [], k1_zfmisc_1(k1_zfmisc_1(335 ^ []))), -(k5_setfam_1(335 ^ [], 336 ^ []) = k3_tarski(336 ^ []))],extension(258 ^ 1,bind([[_63909, _63911], [336 ^ [], 335 ^ []]]))).
% 72.68/70.78  ncf('1.1.1',plain,[k5_setfam_1(335 ^ [], 336 ^ []) = k3_tarski(336 ^ []), 143 : r2_hidden(133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])], k5_setfam_1(335 ^ [], 336 ^ [])), 150 : -(r2_hidden(146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]], 336 ^ []))],extension(139 ^ 2,bind([[_60061, _60063, _60242], [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]]]))).
% 72.68/70.78  ncf('1.1.1.1',plain,[-(r2_hidden(133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])], k5_setfam_1(335 ^ [], 336 ^ []))), -(k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0)],extension(132 ^ 5,bind([[_59770], [k5_setfam_1(335 ^ [], 336 ^ [])]]))).
% 72.68/70.78  ncf('1.1.1.1.1',plain,[k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0, 345 : -(r2_hidden(343 ^ [], 336 ^ []))],extension(340 ^ 6)).
% 72.68/70.78  ncf('1.1.1.1.1.1',plain,[r2_hidden(343 ^ [], 336 ^ []), 154 : r2_hidden(133 ^ [343 ^ []], 343 ^ []), 154 : -(r2_hidden(133 ^ [343 ^ []], k5_setfam_1(335 ^ [], 336 ^ [])))],extension(152 ^ 9,bind([[_60569, _60667], [133 ^ [343 ^ []], 343 ^ []]]))).
% 72.68/70.78  ncf('1.1.1.1.1.1.1',plain,[-(r2_hidden(133 ^ [343 ^ []], 343 ^ [])), -(343 ^ [] = k1_xboole_0)],extension(132 ^ 12,bind([[_59770], [343 ^ []]]))).
% 72.68/70.78  ncf('1.1.1.1.1.1.1.1',plain,[343 ^ [] = k1_xboole_0],extension(347 ^ 13)).
% 72.68/70.78  ncf('1.1.1.1.1.1.2',plain,[r2_hidden(133 ^ [343 ^ []], k5_setfam_1(335 ^ [], 336 ^ [])), k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0],extension(126 ^ 10,bind([[_59591, _59704], [k5_setfam_1(335 ^ [], 336 ^ []), 133 ^ [343 ^ []]]]))).
% 72.68/70.78  ncf('1.1.1.1.1.1.2.1',plain,[-(k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0)],reduction('1.1.1.1')).
% 72.68/70.78  ncf('1.1.1.2',plain,[r2_hidden(146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]], 336 ^ []), 349 : -(146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]] = k1_xboole_0), 347 : 343 ^ [] = k1_xboole_0],extension(340 ^ 7,bind([[_67001], [146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]]]]))).
% 72.68/70.78  ncf('1.1.1.2.1',plain,[146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]] = k1_xboole_0, 130 : r2_hidden(133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])], 146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]])],extension(126 ^ 10,bind([[_59591, _59704], [146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]]]))).
% 72.68/70.78  ncf('1.1.1.2.1.1',plain,[-(r2_hidden(133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])], 146 ^ [k5_setfam_1(335 ^ [], 336 ^ []), 336 ^ [], 133 ^ [k5_setfam_1(335 ^ [], 336 ^ [])]]))],extension(148 ^ 13)).
% 72.68/70.78  ncf('1.1.1.2.2',plain,[-(343 ^ [] = k1_xboole_0), -(r2_hidden(133 ^ [343 ^ []], 343 ^ []))],extension(132 ^ 10,bind([[_59770], [343 ^ []]]))).
% 72.68/70.78  ncf('1.1.1.2.2.1',plain,[r2_hidden(133 ^ [343 ^ []], 343 ^ []), 154 : r2_hidden(343 ^ [], 336 ^ []), 154 : -(r2_hidden(133 ^ [343 ^ []], k5_setfam_1(335 ^ [], 336 ^ [])))],extension(152 ^ 11,bind([[_60569, _60667], [133 ^ [343 ^ []], 343 ^ []]]))).
% 72.68/70.78  ncf('1.1.1.2.2.1.1',plain,[-(r2_hidden(343 ^ [], 336 ^ []))],extension(345 ^ 14)).
% 72.68/70.78  ncf('1.1.1.2.2.1.2',plain,[r2_hidden(133 ^ [343 ^ []], k5_setfam_1(335 ^ [], 336 ^ [])), k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0],extension(126 ^ 12,bind([[_59591, _59704], [k5_setfam_1(335 ^ [], 336 ^ []), 133 ^ [343 ^ []]]]))).
% 72.68/70.78  ncf('1.1.1.2.2.1.2.1',plain,[-(k5_setfam_1(335 ^ [], 336 ^ []) = k1_xboole_0)],extension(342 ^ 13)).
% 72.68/70.78  %-----------------------------------------------------
% 72.68/70.78  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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