TSTP Solution File: SEU262+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU262+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:02:55 EDT 2023

% Result   : Theorem 46.00s 44.71s
% Output   : Proof 46.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU262+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10  % Command  : nanocop.sh %s %d
% 0.09/0.30  % Computer : n027.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Thu May 18 14:01:05 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 46.00/44.71  
% 46.00/44.71  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 46.00/44.71  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.00/44.71  %-----------------------------------------------------
% 46.00/44.71  ncf(matrix, plain, [(473 ^ _91122) ^ [] : [subset(relation_dom(469 ^ []), 467 ^ []), subset(relation_rng(469 ^ []), 468 ^ [])], (471 ^ _91122) ^ [] : [-(relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ []))], !, (317 ^ _75199) ^ [] : [true___, -(true___)], (299 ^ _75199) ^ [] : [true___, -(true___)], (446 ^ _75199) ^ [_90187] : [empty(_90187), -(_90187 = empty_set)], (184 ^ _75199) ^ [_81474, _81476] : [-(unordered_pair(_81476, _81474) = unordered_pair(_81474, _81476))], (380 ^ _75199) ^ [_88033, _88035, _88037, _88039] : [in(ordered_pair(_88039, _88037), cartesian_product2(_88035, _88033)), 383 ^ _75199 : [(386 ^ _75199) ^ [] : [-(in(_88037, _88033))], (384 ^ _75199) ^ [] : [-(in(_88039, _88035))]]], (354 ^ _75199) ^ [_87001, _87003] : [-(relation_of2_as_subset(352 ^ [_87001, _87003], _87003, _87001))], (30 ^ _75199) ^ [_76298, _76300, _76302, _76304, _76306, _76308] : [-(relation_of2(_76306, _76302, _76298)), relation_of2(_76308, _76304, _76300), _76308 = _76306, _76304 = _76302, _76300 = _76298], (104 ^ _75199) ^ [_78651, _78653, _78655, _78657] : [-(subset(_78655, _78651)), subset(_78657, _78653), _78657 = _78655, _78653 = _78651], (2 ^ _75199) ^ [_75323] : [-(_75323 = _75323)], (48 ^ _75199) ^ [_76879, _76881, _76883, _76885] : [-(element(_76883, _76879)), element(_76885, _76881), _76885 = _76883, _76881 = _76879], (329 ^ _75199) ^ [] : [true___, -(true___)], (351 ^ _75199) ^ [_86862] : [-(element(349 ^ [_86862], _86862))], (358 ^ _75199) ^ [_87155, _87157] : [empty(ordered_pair(_87157, _87155))], (172 ^ _75199) ^ [_81040, _81042] : [in(_81042, _81040), in(_81040, _81042)], (287 ^ _75199) ^ [] : [true___, -(true___)], (414 ^ _75199) ^ [_89168, _89170] : [element(_89170, powerset(_89168)), -(subset(_89170, _89168))], (128 ^ _75199) ^ [_79444, _79446] : [_79446 = _79444, -(singleton(_79446) = singleton(_79444))], (361 ^ _75199) ^ [] : [-(empty(359 ^ []))], (86 ^ _75199) ^ [_78090, _78092, _78094, _78096, _78098, _78100] : [-(relation_of2_as_subset(_78098, _78094, _78090)), relation_of2_as_subset(_78100, _78096, _78092), _78100 = _78098, _78096 = _78094, _78092 = _78090], (62 ^ _75199) ^ [_77323, _77325, _77327, _77329] : [-(in(_77327, _77323)), in(_77329, _77325), _77329 = _77327, _77325 = _77323], (160 ^ _75199) ^ [_80598, _80600] : [_80600 = _80598, -(relation_dom(_80600) = relation_dom(_80598))], (76 ^ _75199) ^ [_77739, _77741] : [-(empty(_77739)), _77741 = _77739, empty(_77741)], (118 ^ _75199) ^ [_79113, _79115, _79117, _79119] : [-(unordered_pair(_79119, _79115) = unordered_pair(_79117, _79113)), _79119 = _79117, _79115 = _79113], (10 ^ _75199) ^ [_75634, _75636, _75638] : [-(_75638 = _75634), _75638 = _75636, _75636 = _75634], (305 ^ _75199) ^ [] : [true___, -(true___)], (242 ^ _75199) ^ [_83716] : [relation(_83716), 245 ^ _75199 : [(246 ^ _75199) ^ [_83897] : [_83897 = relation_rng(_83716), 249 ^ _75199 : [(257 ^ _75199) ^ [_84321] : [258 ^ _75199 : [(259 ^ _75199) ^ [_84400] : [in(ordered_pair(_84400, _84321), _83716)]], -(in(_84321, _83897))], (250 ^ _75199) ^ [_84077] : [in(_84077, _83897), -(in(ordered_pair(253 ^ [_83716, _83897, _84077], _84077), _83716))]]], (263 ^ _75199) ^ [_84528] : [-(_84528 = relation_rng(_83716)), 267 ^ _75199 : [(270 ^ _75199) ^ [_84791] : [in(ordered_pair(_84791, 264 ^ [_83716, _84528]), _83716)], (268 ^ _75199) ^ [] : [-(in(264 ^ [_83716, _84528], _84528))]], 272 ^ _75199 : [(275 ^ _75199) ^ [] : [in(264 ^ [_83716, _84528], _84528)], (273 ^ _75199) ^ [] : [-(in(ordered_pair(271 ^ [_83716, _84528], 264 ^ [_83716, _84528]), _83716))]]]]], (205 ^ _75199) ^ [_82275] : [relation(_82275), 208 ^ _75199 : [(209 ^ _75199) ^ [_82456] : [_82456 = relation_dom(_82275), 212 ^ _75199 : [(220 ^ _75199) ^ [_82880] : [221 ^ _75199 : [(222 ^ _75199) ^ [_82959] : [in(ordered_pair(_82880, _82959), _82275)]], -(in(_82880, _82456))], (213 ^ _75199) ^ [_82636] : [in(_82636, _82456), -(in(ordered_pair(_82636, 216 ^ [_82275, _82456, _82636]), _82275))]]], (226 ^ _75199) ^ [_83087] : [-(_83087 = relation_dom(_82275)), 230 ^ _75199 : [(233 ^ _75199) ^ [_83350] : [in(ordered_pair(227 ^ [_82275, _83087], _83350), _82275)], (231 ^ _75199) ^ [] : [-(in(227 ^ [_82275, _83087], _83087))]], 235 ^ _75199 : [(238 ^ _75199) ^ [] : [in(227 ^ [_82275, _83087], _83087)], (236 ^ _75199) ^ [] : [-(in(ordered_pair(227 ^ [_82275, _83087], 234 ^ [_82275, _83087]), _82275))]]]]], (279 ^ _75199) ^ [_85156, _85158] : [-(ordered_pair(_85158, _85156) = unordered_pair(unordered_pair(_85158, _85156), singleton(_85158)))], (364 ^ _75199) ^ [] : [empty(362 ^ [])], (196 ^ _75199) ^ [_81932, _81934] : [198 ^ _75199 : [(201 ^ _75199) ^ [] : [in(197 ^ [_81932, _81934], _81932)], (199 ^ _75199) ^ [] : [-(in(197 ^ [_81932, _81934], _81934))]], -(subset(_81934, _81932))], (4 ^ _75199) ^ [_75430, _75432] : [_75432 = _75430, -(_75430 = _75432)], (420 ^ _75199) ^ [_89334, _89336] : [subset(_89336, _89334), -(element(_89336, powerset(_89334)))], (426 ^ _75199) ^ [_89564, _89566, _89568] : [-(element(_89568, _89564)), in(_89568, _89566), element(_89566, powerset(_89564))], (341 ^ _75199) ^ [_86480, _86482, _86484] : [relation_of2_as_subset(_86480, _86484, _86482), -(element(_86480, powerset(cartesian_product2(_86484, _86482))))], (335 ^ _75199) ^ [] : [true___, -(true___)], (436 ^ _75199) ^ [_89891, _89893, _89895] : [in(_89895, _89893), element(_89893, powerset(_89891)), empty(_89891)], (348 ^ _75199) ^ [_86735, _86737] : [-(relation_of2(346 ^ [_86735, _86737], _86737, _86735))], (356 ^ _75199) ^ [] : [-(empty(empty_set))], (293 ^ _75199) ^ [] : [true___, -(true___)], (398 ^ _75199) ^ [_88631, _88633] : [in(_88633, _88631), -(element(_88633, _88631))], (452 ^ _75199) ^ [_90389, _90391] : [in(_90391, _90389), empty(_90389)], (458 ^ _75199) ^ [_90576, _90578] : [empty(_90578), -(_90578 = _90576), empty(_90576)], (404 ^ _75199) ^ [_88841, _88843] : [element(_88843, _88841), -(empty(_88841)), -(in(_88843, _88841))], (281 ^ _75199) ^ [] : [true___, -(true___)], (311 ^ _75199) ^ [] : [true___, -(true___)], (144 ^ _75199) ^ [_80049, _80051, _80053, _80055] : [-(cartesian_product2(_80055, _80051) = cartesian_product2(_80053, _80049)), _80055 = _80053, _80051 = _80049], (378 ^ _75199) ^ [_87867, _87869] : [-(subset(_87869, _87869))], (154 ^ _75199) ^ [_80380, _80382] : [_80382 = _80380, -(powerset(_80382) = powerset(_80380))], (166 ^ _75199) ^ [_80796, _80798] : [_80798 = _80796, -(relation_rng(_80798) = relation_rng(_80796))], (388 ^ _75199) ^ [_88298, _88300, _88302, _88304] : [-(in(ordered_pair(_88304, _88302), cartesian_product2(_88300, _88298))), in(_88304, _88300), in(_88302, _88298)], (20 ^ _75199) ^ [_75947, _75949] : [-(relation(_75947)), _75949 = _75947, relation(_75949)], (186 ^ _75199) ^ [_81618, _81620] : [subset(_81620, _81618), 189 ^ _75199 : [(190 ^ _75199) ^ [_81755] : [in(_81755, _81620), -(in(_81755, _81618))]]], (323 ^ _75199) ^ [] : [true___, -(true___)], (372 ^ _75199) ^ [_87660, _87662, _87664] : [relation_of2(_87660, _87664, _87662), -(relation_of2_as_subset(_87660, _87664, _87662))], (134 ^ _75199) ^ [_79690, _79692, _79694, _79696] : [-(ordered_pair(_79696, _79692) = ordered_pair(_79694, _79690)), _79696 = _79694, _79692 = _79690], (366 ^ _75199) ^ [_87488, _87490, _87492] : [relation_of2_as_subset(_87488, _87492, _87490), -(relation_of2(_87488, _87492, _87490))], (178 ^ _75199) ^ [_81265, _81267, _81269] : [element(_81265, powerset(cartesian_product2(_81269, _81267))), -(relation(_81265))]], input).
% 46.00/44.71  ncf('1',plain,[subset(relation_dom(469 ^ []), 467 ^ []), subset(relation_rng(469 ^ []), 468 ^ [])],start(473 ^ 0)).
% 46.00/44.71  ncf('1.1',plain,[-(subset(relation_dom(469 ^ []), 467 ^ [])), 201 : in(197 ^ [467 ^ [], relation_dom(469 ^ [])], 467 ^ [])],extension(196 ^ 1,bind([[_81932, _81934], [467 ^ [], relation_dom(469 ^ [])]]))).
% 46.00/44.71  ncf('1.1.1',plain,[-(in(197 ^ [467 ^ [], relation_dom(469 ^ [])], 467 ^ [])), in(ordered_pair(197 ^ [467 ^ [], relation_dom(469 ^ [])], 216 ^ [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]]), cartesian_product2(467 ^ [], 468 ^ []))],extension(380 ^ 4,bind([[_88033, _88035, _88037, _88039], [468 ^ [], 467 ^ [], 216 ^ [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]], 197 ^ [467 ^ [], relation_dom(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.1.1.1',plain,[-(in(ordered_pair(197 ^ [467 ^ [], relation_dom(469 ^ [])], 216 ^ [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]]), cartesian_product2(467 ^ [], 468 ^ []))), 190 : in(ordered_pair(197 ^ [467 ^ [], relation_dom(469 ^ [])], 216 ^ [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]]), 469 ^ []), 190 : subset(469 ^ [], cartesian_product2(467 ^ [], 468 ^ []))],extension(186 ^ 5,bind([[_81618, _81620, _81755], [cartesian_product2(467 ^ [], 468 ^ []), 469 ^ [], ordered_pair(197 ^ [467 ^ [], relation_dom(469 ^ [])], 216 ^ [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]])]]))).
% 46.00/44.71  ncf('1.1.1.1.1',plain,[-(in(ordered_pair(197 ^ [467 ^ [], relation_dom(469 ^ [])], 216 ^ [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]]), 469 ^ [])), 213 : in(197 ^ [467 ^ [], relation_dom(469 ^ [])], relation_dom(469 ^ [])), 213 : relation_dom(469 ^ []) = relation_dom(469 ^ []), 209 : relation(469 ^ [])],extension(205 ^ 8,bind([[_82275, _82456, _82636], [469 ^ [], relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.1.1.1.1.1',plain,[-(in(197 ^ [467 ^ [], relation_dom(469 ^ [])], relation_dom(469 ^ []))), in(197 ^ [467 ^ [], relation_dom(469 ^ [])], relation_dom(469 ^ [])), 197 ^ [467 ^ [], relation_dom(469 ^ [])] = 197 ^ [467 ^ [], relation_dom(469 ^ [])], relation_dom(469 ^ []) = relation_dom(469 ^ [])],extension(62 ^ 13,bind([[_77323, _77325, _77327, _77329], [relation_dom(469 ^ []), relation_dom(469 ^ []), 197 ^ [467 ^ [], relation_dom(469 ^ [])], 197 ^ [467 ^ [], relation_dom(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.1.1.1.1.1.1',plain,[-(in(197 ^ [467 ^ [], relation_dom(469 ^ [])], relation_dom(469 ^ [])))],extension(199 ^ 14)).
% 46.00/44.71  ncf('1.1.1.1.1.1.2',plain,[-(197 ^ [467 ^ [], relation_dom(469 ^ [])] = 197 ^ [467 ^ [], relation_dom(469 ^ [])])],extension(2 ^ 14,bind([[_75323], [197 ^ [467 ^ [], relation_dom(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.1.1.1.1.1.3',plain,[-(relation_dom(469 ^ []) = relation_dom(469 ^ []))],extension(2 ^ 14,bind([[_75323], [relation_dom(469 ^ [])]]))).
% 46.00/44.71  ncf('1.1.1.1.1.2',plain,[-(relation_dom(469 ^ []) = relation_dom(469 ^ []))],extension(2 ^ 11,bind([[_75323], [relation_dom(469 ^ [])]]))).
% 46.00/44.71  ncf('1.1.1.1.1.3',plain,[-(relation(469 ^ [])), element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))],extension(178 ^ 9,bind([[_81265, _81267, _81269], [469 ^ [], 468 ^ [], 467 ^ []]]))).
% 46.00/44.71  ncf('1.1.1.1.1.3.1',plain,[-(element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))), relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ [])],extension(341 ^ 10,bind([[_86480, _86482, _86484], [469 ^ [], 468 ^ [], 467 ^ []]]))).
% 46.00/44.71  ncf('1.1.1.1.1.3.1.1',plain,[-(relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ []))],extension(471 ^ 11)).
% 46.00/44.71  ncf('1.1.1.1.2',plain,[-(subset(469 ^ [], cartesian_product2(467 ^ [], 468 ^ []))), element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))],extension(414 ^ 6,bind([[_89168, _89170], [cartesian_product2(467 ^ [], 468 ^ []), 469 ^ []]]))).
% 46.00/44.71  ncf('1.1.1.1.2.1',plain,[-(element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))), relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ [])],extension(341 ^ 7,bind([[_86480, _86482, _86484], [469 ^ [], 468 ^ [], 467 ^ []]]))).
% 46.00/44.71  ncf('1.1.1.1.2.1.1',plain,[-(relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ []))],extension(471 ^ 8)).
% 46.00/44.71  ncf('1.2',plain,[-(subset(relation_rng(469 ^ []), 468 ^ [])), 201 : in(197 ^ [468 ^ [], relation_rng(469 ^ [])], 468 ^ [])],extension(196 ^ 1,bind([[_81932, _81934], [468 ^ [], relation_rng(469 ^ [])]]))).
% 46.00/44.71  ncf('1.2.1',plain,[-(in(197 ^ [468 ^ [], relation_rng(469 ^ [])], 468 ^ [])), in(ordered_pair(253 ^ [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]], 197 ^ [468 ^ [], relation_rng(469 ^ [])]), cartesian_product2(467 ^ [], 468 ^ []))],extension(380 ^ 4,bind([[_88033, _88035, _88037, _88039], [468 ^ [], 467 ^ [], 197 ^ [468 ^ [], relation_rng(469 ^ [])], 253 ^ [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]]]]))).
% 46.00/44.71  ncf('1.2.1.1',plain,[-(in(ordered_pair(253 ^ [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]], 197 ^ [468 ^ [], relation_rng(469 ^ [])]), cartesian_product2(467 ^ [], 468 ^ []))), 190 : in(ordered_pair(253 ^ [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]], 197 ^ [468 ^ [], relation_rng(469 ^ [])]), 469 ^ []), 190 : subset(469 ^ [], cartesian_product2(467 ^ [], 468 ^ []))],extension(186 ^ 5,bind([[_81618, _81620, _81755], [cartesian_product2(467 ^ [], 468 ^ []), 469 ^ [], ordered_pair(253 ^ [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]], 197 ^ [468 ^ [], relation_rng(469 ^ [])])]]))).
% 46.00/44.71  ncf('1.2.1.1.1',plain,[-(in(ordered_pair(253 ^ [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]], 197 ^ [468 ^ [], relation_rng(469 ^ [])]), 469 ^ [])), 250 : in(197 ^ [468 ^ [], relation_rng(469 ^ [])], relation_rng(469 ^ [])), 250 : relation_rng(469 ^ []) = relation_rng(469 ^ []), 246 : relation(469 ^ [])],extension(242 ^ 8,bind([[_83716, _83897, _84077], [469 ^ [], relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.2.1.1.1.1',plain,[-(in(197 ^ [468 ^ [], relation_rng(469 ^ [])], relation_rng(469 ^ []))), in(197 ^ [468 ^ [], relation_rng(469 ^ [])], relation_rng(469 ^ [])), 197 ^ [468 ^ [], relation_rng(469 ^ [])] = 197 ^ [468 ^ [], relation_rng(469 ^ [])], relation_rng(469 ^ []) = relation_rng(469 ^ [])],extension(62 ^ 13,bind([[_77323, _77325, _77327, _77329], [relation_rng(469 ^ []), relation_rng(469 ^ []), 197 ^ [468 ^ [], relation_rng(469 ^ [])], 197 ^ [468 ^ [], relation_rng(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.2.1.1.1.1.1',plain,[-(in(197 ^ [468 ^ [], relation_rng(469 ^ [])], relation_rng(469 ^ [])))],extension(199 ^ 14)).
% 46.00/44.71  ncf('1.2.1.1.1.1.2',plain,[-(197 ^ [468 ^ [], relation_rng(469 ^ [])] = 197 ^ [468 ^ [], relation_rng(469 ^ [])])],extension(2 ^ 14,bind([[_75323], [197 ^ [468 ^ [], relation_rng(469 ^ [])]]]))).
% 46.00/44.71  ncf('1.2.1.1.1.1.3',plain,[-(relation_rng(469 ^ []) = relation_rng(469 ^ []))],extension(2 ^ 14,bind([[_75323], [relation_rng(469 ^ [])]]))).
% 46.00/44.71  ncf('1.2.1.1.1.2',plain,[-(relation_rng(469 ^ []) = relation_rng(469 ^ []))],extension(2 ^ 11,bind([[_75323], [relation_rng(469 ^ [])]]))).
% 46.00/44.71  ncf('1.2.1.1.1.3',plain,[-(relation(469 ^ [])), element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))],extension(178 ^ 9,bind([[_81265, _81267, _81269], [469 ^ [], 468 ^ [], 467 ^ []]]))).
% 46.00/44.71  ncf('1.2.1.1.1.3.1',plain,[-(element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))), relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ [])],extension(341 ^ 10,bind([[_86480, _86482, _86484], [469 ^ [], 468 ^ [], 467 ^ []]]))).
% 46.00/44.71  ncf('1.2.1.1.1.3.1.1',plain,[-(relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ []))],extension(471 ^ 11)).
% 46.00/44.71  ncf('1.2.1.1.2',plain,[-(subset(469 ^ [], cartesian_product2(467 ^ [], 468 ^ []))), element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))],extension(414 ^ 6,bind([[_89168, _89170], [cartesian_product2(467 ^ [], 468 ^ []), 469 ^ []]]))).
% 46.00/44.71  ncf('1.2.1.1.2.1',plain,[-(element(469 ^ [], powerset(cartesian_product2(467 ^ [], 468 ^ [])))), relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ [])],extension(341 ^ 7,bind([[_86480, _86482, _86484], [469 ^ [], 468 ^ [], 467 ^ []]]))).
% 46.00/44.71  ncf('1.2.1.1.2.1.1',plain,[-(relation_of2_as_subset(469 ^ [], 467 ^ [], 468 ^ []))],extension(471 ^ 8)).
% 46.00/44.71  %-----------------------------------------------------
% 46.00/44.71  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------