TSTP Solution File: SET814+4 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET814+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 11:56:28 EDT 2023
% Result : Theorem 6.66s 7.57s
% Output : Proof 6.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET814+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n031.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 19:28:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 6.66/7.57
% 6.66/7.57 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 6.66/7.57 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.66/7.57 %-----------------------------------------------------
% 6.66/7.57 ncf(matrix, plain, [(622 ^ _78437) ^ [] : [-(member(620 ^ [], on))], (624 ^ _78437) ^ [] : [subset(sum(620 ^ []), 620 ^ [])], (136 ^ _78437) ^ [_82938, _82940] : [_82940 = _82938, -(power_set(_82940) = power_set(_82938))], (142 ^ _78437) ^ [_83184, _83186, _83188, _83190] : [-(intersection(_83190, _83186) = intersection(_83188, _83184)), _83190 = _83188, _83186 = _83184], (152 ^ _78437) ^ [_83543, _83545, _83547, _83549] : [-(difference(_83549, _83545) = difference(_83547, _83543)), _83549 = _83547, _83545 = _83543], (162 ^ _78437) ^ [_83902, _83904, _83906, _83908] : [-(unordered_pair(_83908, _83904) = unordered_pair(_83906, _83902)), _83908 = _83906, _83904 = _83902], (172 ^ _78437) ^ [_84233, _84235] : [_84235 = _84233, -(product(_84235) = product(_84233))], (178 ^ _78437) ^ [_84507, _84509, _84511, _84513, _84515, _84517] : [-(initial_segment(_84517, _84513, _84509) = initial_segment(_84515, _84511, _84507)), _84517 = _84515, _84513 = _84511, _84509 = _84507], (192 ^ _78437) ^ [_84967, _84969] : [_84969 = _84967, -(suc(_84969) = suc(_84967))], (198 ^ _78437) ^ [_85213, _85215, _85217, _85219] : [-(union(_85219, _85215) = union(_85217, _85213)), _85219 = _85217, _85215 = _85213], (208 ^ _78437) ^ [_85544, _85546] : [_85546 = _85544, -(singleton(_85546) = singleton(_85544))], (214 ^ _78437) ^ [_85742, _85744] : [_85744 = _85742, -(sum(_85744) = sum(_85742))], (2 ^ _78437) ^ [_78581] : [-(_78581 = _78581)], (4 ^ _78437) ^ [_78688, _78690] : [_78690 = _78688, -(_78688 = _78690)], (10 ^ _78437) ^ [_78892, _78894, _78896] : [-(_78896 = _78892), _78896 = _78894, _78894 = _78892], (20 ^ _78437) ^ [_79233, _79235, _79237, _79239] : [-(equal_set(_79237, _79233)), equal_set(_79239, _79235), _79239 = _79237, _79235 = _79233], (34 ^ _78437) ^ [_79677, _79679, _79681, _79683] : [-(strict_well_order(_79681, _79677)), strict_well_order(_79683, _79679), _79683 = _79681, _79679 = _79677], (48 ^ _78437) ^ [_80149, _80151, _80153, _80155, _80157, _80159] : [-(least(_80157, _80153, _80149)), least(_80159, _80155, _80151), _80159 = _80157, _80155 = _80153, _80151 = _80149], (66 ^ _78437) ^ [_80730, _80732, _80734, _80736] : [-(strict_order(_80734, _80730)), strict_order(_80736, _80732), _80736 = _80734, _80732 = _80730], (80 ^ _78437) ^ [_81146, _81148] : [-(set(_81146)), _81148 = _81146, set(_81148)], (90 ^ _78437) ^ [_81497, _81499, _81501, _81503, _81505, _81507] : [-(apply(_81505, _81501, _81497)), apply(_81507, _81503, _81499), _81507 = _81505, _81503 = _81501, _81499 = _81497], (108 ^ _78437) ^ [_82078, _82080, _82082, _82084] : [-(member(_82082, _82078)), member(_82084, _82080), _82084 = _82082, _82080 = _82078], (122 ^ _78437) ^ [_82502, _82504, _82506, _82508] : [-(subset(_82506, _82502)), subset(_82508, _82504), _82508 = _82506, _82504 = _82502], (230 ^ _78437) ^ [_86393, _86395] : [232 ^ _78437 : [(233 ^ _78437) ^ [] : [-(member(231 ^ [_86393, _86395], _86395))], (235 ^ _78437) ^ [] : [member(231 ^ [_86393, _86395], _86393)]], -(subset(_86395, _86393))], (220 ^ _78437) ^ [_86079, _86081] : [subset(_86081, _86079), 223 ^ _78437 : [(224 ^ _78437) ^ [_86216] : [member(_86216, _86081), -(member(_86216, _86079))]]], (239 ^ _78437) ^ [_86779, _86781] : [equal_set(_86781, _86779), 242 ^ _78437 : [(243 ^ _78437) ^ [] : [-(subset(_86781, _86779))], (245 ^ _78437) ^ [] : [-(subset(_86779, _86781))]]], (247 ^ _78437) ^ [_87016, _87018] : [-(equal_set(_87018, _87016)), subset(_87018, _87016), subset(_87016, _87018)], (257 ^ _78437) ^ [_87346, _87348] : [member(_87348, power_set(_87346)), -(subset(_87348, _87346))], (263 ^ _78437) ^ [_87512, _87514] : [subset(_87514, _87512), -(member(_87514, power_set(_87512)))], (269 ^ _78437) ^ [_87771, _87773, _87775] : [member(_87775, intersection(_87773, _87771)), 272 ^ _78437 : [(273 ^ _78437) ^ [] : [-(member(_87775, _87773))], (275 ^ _78437) ^ [] : [-(member(_87775, _87771))]]], (277 ^ _78437) ^ [_88022, _88024, _88026] : [-(member(_88026, intersection(_88024, _88022))), member(_88026, _88024), member(_88026, _88022)], (297 ^ _78437) ^ [_88650, _88652, _88654] : [298 ^ _78437 : [(299 ^ _78437) ^ [] : [member(_88654, _88652)], (301 ^ _78437) ^ [] : [member(_88654, _88650)]], -(member(_88654, union(_88652, _88650)))], (287 ^ _78437) ^ [_88382, _88384, _88386] : [member(_88386, union(_88384, _88382)), -(member(_88386, _88384)), -(member(_88386, _88382))], (305 ^ _78437) ^ [_88920] : [member(_88920, empty_set)], (307 ^ _78437) ^ [_89070, _89072, _89074] : [member(_89074, difference(_89070, _89072)), 310 ^ _78437 : [(311 ^ _78437) ^ [] : [-(member(_89074, _89070))], (313 ^ _78437) ^ [] : [member(_89074, _89072)]]], (315 ^ _78437) ^ [_89322, _89324, _89326] : [-(member(_89326, difference(_89322, _89324))), member(_89326, _89322), -(member(_89326, _89324))], (325 ^ _78437) ^ [_89671, _89673] : [member(_89673, singleton(_89671)), -(_89673 = _89671)], (331 ^ _78437) ^ [_89837, _89839] : [_89839 = _89837, -(member(_89839, singleton(_89837)))], (347 ^ _78437) ^ [_90364, _90366, _90368] : [348 ^ _78437 : [(349 ^ _78437) ^ [] : [_90368 = _90366], (351 ^ _78437) ^ [] : [_90368 = _90364]], -(member(_90368, unordered_pair(_90366, _90364)))], (337 ^ _78437) ^ [_90096, _90098, _90100] : [member(_90100, unordered_pair(_90098, _90096)), -(_90100 = _90098), -(_90100 = _90096)], (355 ^ _78437) ^ [_90693, _90695] : [member(_90695, sum(_90693)), 359 ^ _78437 : [(360 ^ _78437) ^ [] : [-(member(358 ^ [_90693, _90695], _90693))], (362 ^ _78437) ^ [] : [-(member(_90695, 358 ^ [_90693, _90695]))]]], (364 ^ _78437) ^ [_91004, _91006] : [-(member(_91006, sum(_91004))), 365 ^ _78437 : [(366 ^ _78437) ^ [_91098] : [member(_91098, _91004), member(_91006, _91098)]]], (384 ^ _78437) ^ [_91699, _91701] : [386 ^ _78437 : [(387 ^ _78437) ^ [] : [-(member(385 ^ [_91699, _91701], _91699))], (389 ^ _78437) ^ [] : [member(_91701, 385 ^ [_91699, _91701])]], -(member(_91701, product(_91699)))], (374 ^ _78437) ^ [_91381, _91383] : [member(_91383, product(_91381)), 377 ^ _78437 : [(378 ^ _78437) ^ [_91522] : [member(_91522, _91381), -(member(_91383, _91522))]]], (611 ^ _78437) ^ [_100094, _100096, _100098] : [-(subset(_100098, _100094)), subset(_100098, _100096), subset(_100096, _100094)], (393 ^ _78437) ^ [_92133] : [member(_92133, on), 396 ^ _78437 : [(397 ^ _78437) ^ [] : [-(set(_92133))], (399 ^ _78437) ^ [] : [-(strict_well_order(member_predicate, _92133))], (401 ^ _78437) ^ [_92404] : [member(_92404, _92133), -(subset(_92404, _92133))]]], (407 ^ _78437) ^ [_92577] : [-(member(_92577, on)), set(_92577), strict_well_order(member_predicate, _92577), 417 ^ _78437 : [(418 ^ _78437) ^ [] : [-(member(416 ^ [_92577], _92577))], (420 ^ _78437) ^ [] : [subset(416 ^ [_92577], _92577)]]], (441 ^ _78437) ^ [_93701, _93703] : [-(strict_well_order(_93703, _93701)), strict_order(_93703, _93701), 447 ^ _78437 : [(448 ^ _78437) ^ [] : [-(subset(446 ^ [_93701, _93703], _93701))], (451 ^ _78437) ^ [] : [-(member(449 ^ [_93701, _93703], 446 ^ [_93701, _93703]))], (453 ^ _78437) ^ [_94154] : [least(_94154, _93703, 446 ^ [_93701, _93703])]]], (424 ^ _78437) ^ [_93115, _93117] : [strict_well_order(_93117, _93115), 427 ^ _78437 : [(428 ^ _78437) ^ [] : [-(strict_order(_93117, _93115))], (430 ^ _78437) ^ [_93341] : [-(least(437 ^ [_93115, _93117, _93341], _93117, _93341)), subset(_93341, _93115), 435 ^ _78437 : [(436 ^ _78437) ^ [_93512] : [member(_93512, _93341)]]]]], (473 ^ _78437) ^ [_94888, _94890, _94892] : [-(least(_94888, _94892, _94890)), member(_94888, _94890), 479 ^ _78437 : [(480 ^ _78437) ^ [] : [-(member(478 ^ [_94888, _94890, _94892], _94890))], (482 ^ _78437) ^ [] : [_94888 = 478 ^ [_94888, _94890, _94892]], (484 ^ _78437) ^ [] : [apply(_94892, _94888, 478 ^ [_94888, _94890, _94892])]]], (457 ^ _78437) ^ [_94377, _94379, _94381] : [least(_94377, _94381, _94379), 460 ^ _78437 : [(461 ^ _78437) ^ [] : [-(member(_94377, _94379))], (463 ^ _78437) ^ [_94601] : [member(_94601, _94379), -(_94377 = _94601), -(apply(_94381, _94377, _94601))]]], (488 ^ _78437) ^ [_95478, _95480] : [apply(member_predicate, _95480, _95478), -(member(_95480, _95478))], (494 ^ _78437) ^ [_95642, _95644] : [member(_95644, _95642), -(apply(member_predicate, _95644, _95642))], (571 ^ _78437) ^ [_98661] : [set(_98661), 574 ^ _78437 : [(575 ^ _78437) ^ [_98791] : [member(_98791, _98661), -(set(_98791))]]], (599 ^ _78437) ^ [_99666, _99668] : [member(_99666, suc(_99668)), -(member(_99666, union(_99668, singleton(_99668))))], (605 ^ _78437) ^ [_99842, _99844] : [member(_99842, union(_99844, singleton(_99844))), -(member(_99842, suc(_99844)))], (581 ^ _78437) ^ [_99063, _99065, _99067, _99069] : [member(_99063, initial_segment(_99069, _99067, _99065)), 584 ^ _78437 : [(585 ^ _78437) ^ [] : [-(member(_99063, _99065))], (587 ^ _78437) ^ [] : [-(apply(_99067, _99063, _99069))]]], (589 ^ _78437) ^ [_99326, _99328, _99330, _99332] : [-(member(_99326, initial_segment(_99332, _99330, _99328))), member(_99326, _99328), apply(_99330, _99326, _99332)], (540 ^ _78437) ^ [_97157, _97159] : [-(strict_order(_97159, _97157)), 545 ^ _78437 : [(546 ^ _78437) ^ [] : [-(member(543 ^ [_97157, _97159], _97157))], (548 ^ _78437) ^ [] : [-(member(544 ^ [_97157, _97159], _97157))], (550 ^ _78437) ^ [] : [-(apply(_97159, 543 ^ [_97157, _97159], 544 ^ [_97157, _97159]))], (552 ^ _78437) ^ [] : [-(apply(_97159, 544 ^ [_97157, _97159], 543 ^ [_97157, _97159]))]], 556 ^ _78437 : [(557 ^ _78437) ^ [] : [-(member(553 ^ [_97157, _97159], _97157))], (559 ^ _78437) ^ [] : [-(member(554 ^ [_97157, _97159], _97157))], (561 ^ _78437) ^ [] : [-(member(555 ^ [_97157, _97159], _97157))], (563 ^ _78437) ^ [] : [-(apply(_97159, 553 ^ [_97157, _97159], 554 ^ [_97157, _97159]))], (565 ^ _78437) ^ [] : [-(apply(_97159, 554 ^ [_97157, _97159], 555 ^ [_97157, _97159]))], (567 ^ _78437) ^ [] : [apply(_97159, 553 ^ [_97157, _97159], 555 ^ [_97157, _97159])]]], (500 ^ _78437) ^ [_95885, _95887] : [strict_order(_95887, _95885), 503 ^ _78437 : [(504 ^ _78437) ^ [_96131, _96133] : [member(_96133, _95885), member(_96131, _95885), apply(_95887, _96133, _96131), apply(_95887, _96131, _96133)], (518 ^ _78437) ^ [_96552, _96554, _96556] : [member(_96556, _95885), member(_96554, _95885), member(_96552, _95885), -(apply(_95887, _96556, _96552)), apply(_95887, _96556, _96554), apply(_95887, _96554, _96552)]]]], input).
% 6.66/7.57 ncf('1',plain,[subset(sum(620 ^ []), 620 ^ [])],start(624 ^ 0)).
% 6.66/7.57 ncf('1.1',plain,[-(subset(sum(620 ^ []), 620 ^ [])), 233 : -(member(231 ^ [620 ^ [], sum(620 ^ [])], sum(620 ^ [])))],extension(230 ^ 1,bind([[_86393, _86395], [620 ^ [], sum(620 ^ [])]]))).
% 6.66/7.57 ncf('1.1.1',plain,[member(231 ^ [620 ^ [], sum(620 ^ [])], sum(620 ^ [])), 360 : -(member(358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]], 620 ^ []))],extension(355 ^ 4,bind([[_90693, _90695], [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]]]))).
% 6.66/7.57 ncf('1.1.1.1',plain,[member(358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]], 620 ^ []), 401 : -(subset(358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]], 620 ^ [])), 401 : member(620 ^ [], on)],extension(393 ^ 7,bind([[_92133, _92404], [620 ^ [], 358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]]]]))).
% 6.66/7.57 ncf('1.1.1.1.1',plain,[subset(358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]], 620 ^ []), 224 : member(231 ^ [620 ^ [], sum(620 ^ [])], 358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]]), 224 : -(member(231 ^ [620 ^ [], sum(620 ^ [])], 620 ^ []))],extension(220 ^ 10,bind([[_86079, _86081, _86216], [620 ^ [], 358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]], 231 ^ [620 ^ [], sum(620 ^ [])]]]))).
% 6.66/7.57 ncf('1.1.1.1.1.1',plain,[-(member(231 ^ [620 ^ [], sum(620 ^ [])], 358 ^ [620 ^ [], 231 ^ [620 ^ [], sum(620 ^ [])]]))],extension(362 ^ 13)).
% 6.66/7.57 ncf('1.1.1.1.1.2',plain,[member(231 ^ [620 ^ [], sum(620 ^ [])], 620 ^ [])],extension(235 ^ 13)).
% 6.66/7.57 ncf('1.1.1.1.2',plain,[-(member(620 ^ [], on))],extension(622 ^ 8)).
% 6.66/7.57 %-----------------------------------------------------
% 6.66/7.57 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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