%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 12:02:24 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU152+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.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 13:21:22 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(831 ^ _111966) ^ [] : [-(in(828 ^ [], 829 ^ []))], (833 ^ _111966) ^ [] : [set_union2(singleton(828 ^ []), 829 ^ []) = 829 ^ []], (86 ^ _111966) ^ [_114799, _114801] : [_114801 = _114799, -(powerset(_114801) = powerset(_114799))], (92 ^ _111966) ^ [_115045, _115047, _115049, _115051] : [-(set_intersection2(_115051, _115047) = set_intersection2(_115049, _115045)), _115051 = _115049, _115047 = _115045], (102 ^ _111966) ^ [_115404, _115406, _115408, _115410] : [-(set_difference(_115410, _115406) = set_difference(_115408, _115404)), _115410 = _115408, _115406 = _115404], (112 ^ _111966) ^ [_115763, _115765, _115767, _115769] : [-(unordered_pair(_115769, _115765) = unordered_pair(_115767, _115763)), _115769 = _115767, _115765 = _115763], (132 ^ _111966) ^ [_116433, _116435] : [_116435 = _116433, -(singleton(_116435) = singleton(_116433))], (122 ^ _111966) ^ [_116122, _116124, _116126, _116128] : [-(set_union2(_116128, _116124) = set_union2(_116126, _116122)), _116128 = _116126, _116124 = _116122], (2 ^ _111966) ^ [_112110] : [-(_112110 = _112110)], (4 ^ _111966) ^ [_112217, _112219] : [_112219 = _112217, -(_112217 = _112219)], (10 ^ _111966) ^ [_112421, _112423, _112425] : [-(_112425 = _112421), _112425 = _112423, _112423 = _112421], (20 ^ _111966) ^ [_112762, _112764, _112766, _112768] : [-(proper_subset(_112766, _112762)), proper_subset(_112768, _112764), _112768 = _112766, _112764 = _112762], (34 ^ _111966) ^ [_113206, _113208, _113210, _113212] : [-(disjoint(_113210, _113206)), disjoint(_113212, _113208), _113212 = _113210, _113208 = _113206], (48 ^ _111966) ^ [_113622, _113624] : [-(empty(_113622)), _113624 = _113622, empty(_113624)], (58 ^ _111966) ^ [_113945, _113947, _113949, _113951] : [-(subset(_113949, _113945)), subset(_113951, _113947), _113951 = _113949, _113947 = _113945], (72 ^ _111966) ^ [_114369, _114371, _114373, _114375] : [-(in(_114373, _114369)), in(_114375, _114371), _114375 = _114373, _114371 = _114369], (138 ^ _111966) ^ [_116673, _116675] : [in(_116675, _116673), in(_116673, _116675)], (144 ^ _111966) ^ [_116884, _116886] : [proper_subset(_116886, _116884), proper_subset(_116884, _116886)], (150 ^ _111966) ^ [_117080, _117082] : [-(unordered_pair(_117082, _117080) = unordered_pair(_117080, _117082))], (152 ^ _111966) ^ [_117180, _117182] : [-(set_union2(_117182, _117180) = set_union2(_117180, _117182))], (154 ^ _111966) ^ [_117280, _117282] : [-(set_intersection2(_117282, _117280) = set_intersection2(_117280, _117282))], (156 ^ _111966) ^ [_117424, _117426] : [_117426 = _117424, 159 ^ _111966 : [(160 ^ _111966) ^ [] : [-(subset(_117426, _117424))], (162 ^ _111966) ^ [] : [-(subset(_117424, _117426))]]], (164 ^ _111966) ^ [_117661, _117663] : [-(_117663 = _117661), subset(_117663, _117661), subset(_117661, _117663)], (190 ^ _111966) ^ [_118512, _118514] : [-(_118512 = singleton(_118514)), 194 ^ _111966 : [(195 ^ _111966) ^ [] : [-(in(191 ^ [_118512, _118514], _118512))], (197 ^ _111966) ^ [] : [191 ^ [_118512, _118514] = _118514]], 198 ^ _111966 : [(199 ^ _111966) ^ [] : [-(191 ^ [_118512, _118514] = _118514)], (201 ^ _111966) ^ [] : [in(191 ^ [_118512, _118514], _118512)]]], (174 ^ _111966) ^ [_117991, _117993] : [_117991 = singleton(_117993), 177 ^ _111966 : [(178 ^ _111966) ^ [_118161] : [in(_118161, _117991), -(_118161 = _117993)], (184 ^ _111966) ^ [_118333] : [_118333 = _117993, -(in(_118333, _117991))]]], (205 ^ _111966) ^ [_119063] : [_119063 = empty_set, 208 ^ _111966 : [(209 ^ _111966) ^ [_119176] : [in(_119176, _119063)]]], (211 ^ _111966) ^ [_119242] : [-(in(212 ^ [_119242], _119242)), -(_119242 = empty_set)], (234 ^ _111966) ^ [_120054, _120056] : [-(_120054 = powerset(_120056)), 238 ^ _111966 : [(239 ^ _111966) ^ [] : [-(in(235 ^ [_120054, _120056], _120054))], (241 ^ _111966) ^ [] : [subset(235 ^ [_120054, _120056], _120056)]], 242 ^ _111966 : [(243 ^ _111966) ^ [] : [-(subset(235 ^ [_120054, _120056], _120056))], (245 ^ _111966) ^ [] : [in(235 ^ [_120054, _120056], _120054)]]], (218 ^ _111966) ^ [_119533, _119535] : [_119533 = powerset(_119535), 221 ^ _111966 : [(222 ^ _111966) ^ [_119703] : [in(_119703, _119533), -(subset(_119703, _119535))], (228 ^ _111966) ^ [_119875] : [subset(_119875, _119535), -(in(_119875, _119533))]]], (271 ^ _111966) ^ [_121358, _121360, _121362] : [-(_121358 = unordered_pair(_121362, _121360)), 275 ^ _111966 : [(276 ^ _111966) ^ [] : [-(in(272 ^ [_121358, _121360, _121362], _121358))], (278 ^ _111966) ^ [] : [272 ^ [_121358, _121360, _121362] = _121362], (280 ^ _111966) ^ [] : [272 ^ [_121358, _121360, _121362] = _121360]], 281 ^ _111966 : [(288 ^ _111966) ^ [] : [in(272 ^ [_121358, _121360, _121362], _121358)], (282 ^ _111966) ^ [] : [-(272 ^ [_121358, _121360, _121362] = _121362), -(272 ^ [_121358, _121360, _121362] = _121360)]]], (249 ^ _111966) ^ [_120633, _120635, _120637] : [_120633 = unordered_pair(_120637, _120635), 252 ^ _111966 : [(263 ^ _111966) ^ [_121093] : [264 ^ _111966 : [(265 ^ _111966) ^ [] : [_121093 = _120637], (267 ^ _111966) ^ [] : [_121093 = _120635]], -(in(_121093, _120633))], (253 ^ _111966) ^ [_120815] : [in(_120815, _120633), -(_120815 = _120637), -(_120815 = _120635)]]], (314 ^ _111966) ^ [_122877, _122879, _122881] : [-(_122877 = set_union2(_122881, _122879)), 318 ^ _111966 : [(319 ^ _111966) ^ [] : [-(in(315 ^ [_122877, _122879, _122881], _122877))], (321 ^ _111966) ^ [] : [in(315 ^ [_122877, _122879, _122881], _122881)], (323 ^ _111966) ^ [] : [in(315 ^ [_122877, _122879, _122881], _122879)]], 324 ^ _111966 : [(331 ^ _111966) ^ [] : [in(315 ^ [_122877, _122879, _122881], _122877)], (325 ^ _111966) ^ [] : [-(in(315 ^ [_122877, _122879, _122881], _122881)), -(in(315 ^ [_122877, _122879, _122881], _122879))]]], (292 ^ _111966) ^ [_122152, _122154, _122156] : [_122152 = set_union2(_122156, _122154), 295 ^ _111966 : [(306 ^ _111966) ^ [_122612] : [307 ^ _111966 : [(308 ^ _111966) ^ [] : [in(_122612, _122156)], (310 ^ _111966) ^ [] : [in(_122612, _122154)]], -(in(_122612, _122152))], (296 ^ _111966) ^ [_122334] : [in(_122334, _122152), -(in(_122334, _122156)), -(in(_122334, _122154))]]], (345 ^ _111966) ^ [_123971, _123973] : [347 ^ _111966 : [(348 ^ _111966) ^ [] : [-(in(346 ^ [_123971, _123973], _123973))], (350 ^ _111966) ^ [] : [in(346 ^ [_123971, _123973], _123971)]], -(subset(_123973, _123971))], (335 ^ _111966) ^ [_123657, _123659] : [subset(_123659, _123657), 338 ^ _111966 : [(339 ^ _111966) ^ [_123794] : [in(_123794, _123659), -(in(_123794, _123657))]]], (376 ^ _111966) ^ [_125096, _125098, _125100] : [-(_125096 = set_intersection2(_125100, _125098)), 388 ^ _111966 : [(389 ^ _111966) ^ [] : [-(in(377 ^ [_125096, _125098, _125100], _125100))], (391 ^ _111966) ^ [] : [-(in(377 ^ [_125096, _125098, _125100], _125098))], (393 ^ _111966) ^ [] : [in(377 ^ [_125096, _125098, _125100], _125096)]], 380 ^ _111966 : [(381 ^ _111966) ^ [] : [-(in(377 ^ [_125096, _125098, _125100], _125096))], (383 ^ _111966) ^ [] : [in(377 ^ [_125096, _125098, _125100], _125100), in(377 ^ [_125096, _125098, _125100], _125098)]]], (354 ^ _111966) ^ [_124371, _124373, _124375] : [_124371 = set_intersection2(_124375, _124373), 357 ^ _111966 : [(358 ^ _111966) ^ [_124553] : [in(_124553, _124371), 361 ^ _111966 : [(362 ^ _111966) ^ [] : [-(in(_124553, _124375))], (364 ^ _111966) ^ [] : [-(in(_124553, _124373))]]], (366 ^ _111966) ^ [_124812] : [-(in(_124812, _124371)), in(_124812, _124375), in(_124812, _124373)]]], (419 ^ _111966) ^ [_126623, _126625, _126627] : [-(_126623 = set_difference(_126627, _126625)), 431 ^ _111966 : [(432 ^ _111966) ^ [] : [-(in(420 ^ [_126623, _126625, _126627], _126627))], (434 ^ _111966) ^ [] : [in(420 ^ [_126623, _126625, _126627], _126625)], (436 ^ _111966) ^ [] : [in(420 ^ [_126623, _126625, _126627], _126623)]], 423 ^ _111966 : [(424 ^ _111966) ^ [] : [-(in(420 ^ [_126623, _126625, _126627], _126623))], (426 ^ _111966) ^ [] : [in(420 ^ [_126623, _126625, _126627], _126627), -(in(420 ^ [_126623, _126625, _126627], _126625))]]], (397 ^ _111966) ^ [_125892, _125894, _125896] : [_125892 = set_difference(_125896, _125894), 400 ^ _111966 : [(401 ^ _111966) ^ [_126076] : [in(_126076, _125892), 404 ^ _111966 : [(405 ^ _111966) ^ [] : [-(in(_126076, _125896))], (407 ^ _111966) ^ [] : [in(_126076, _125894)]]], (409 ^ _111966) ^ [_126336] : [-(in(_126336, _125892)), in(_126336, _125896), -(in(_126336, _125894))]]], (440 ^ _111966) ^ [_127409, _127411] : [disjoint(_127411, _127409), -(set_intersection2(_127411, _127409) = empty_set)], (446 ^ _111966) ^ [_127577, _127579] : [set_intersection2(_127579, _127577) = empty_set, -(disjoint(_127579, _127577))], (452 ^ _111966) ^ [_127824, _127826] : [proper_subset(_127826, _127824), 455 ^ _111966 : [(456 ^ _111966) ^ [] : [-(subset(_127826, _127824))], (458 ^ _111966) ^ [] : [_127826 = _127824]]], (460 ^ _111966) ^ [_128062, _128064] : [-(proper_subset(_128064, _128062)), subset(_128064, _128062), -(_128064 = _128062)], (470 ^ _111966) ^ [] : [true___, -(true___)], (476 ^ _111966) ^ [] : [true___, -(true___)], (482 ^ _111966) ^ [] : [true___, -(true___)], (488 ^ _111966) ^ [] : [true___, -(true___)], (494 ^ _111966) ^ [] : [true___, -(true___)], (500 ^ _111966) ^ [] : [true___, -(true___)], (506 ^ _111966) ^ [] : [true___, -(true___)], (512 ^ _111966) ^ [] : [-(empty(empty_set))], (514 ^ _111966) ^ [_129252, _129254] : [-(empty(_129254)), empty(set_union2(_129254, _129252))], (520 ^ _111966) ^ [_129468, _129470] : [-(empty(_129470)), empty(set_union2(_129468, _129470))], (526 ^ _111966) ^ [_129669, _129671] : [-(set_union2(_129671, _129671) = _129671)], (528 ^ _111966) ^ [_129766, _129768] : [-(set_intersection2(_129768, _129768) = _129768)], (530 ^ _111966) ^ [_129862, _129864] : [proper_subset(_129864, _129864)], (532 ^ _111966) ^ [_129941] : [singleton(_129941) = empty_set], (534 ^ _111966) ^ [_130079, _130081] : [subset(singleton(_130081), _130079), -(in(_130081, _130079))], (540 ^ _111966) ^ [_130245, _130247] : [in(_130247, _130245), -(subset(singleton(_130247), _130245))], (546 ^ _111966) ^ [_130490, _130492] : [set_difference(_130492, _130490) = empty_set, -(subset(_130492, _130490))], (552 ^ _111966) ^ [_130658, _130660] : [subset(_130660, _130658), -(set_difference(_130660, _130658) = empty_set)], (558 ^ _111966) ^ [_130890, _130892, _130894] : [subset(_130894, _130892), -(in(_130890, _130894)), -(subset(_130894, set_difference(_130892, singleton(_130890))))], (578 ^ _111966) ^ [_131499, _131501] : [579 ^ _111966 : [(580 ^ _111966) ^ [] : [_131501 = empty_set], (582 ^ _111966) ^ [] : [_131501 = singleton(_131499)]], -(subset(_131501, singleton(_131499)))], (568 ^ _111966) ^ [_131239, _131241] : [subset(_131241, singleton(_131239)), -(_131241 = empty_set), -(_131241 = singleton(_131239))], (587 ^ _111966) ^ [] : [-(empty(585 ^ []))], (590 ^ _111966) ^ [] : [empty(588 ^ [])], (592 ^ _111966) ^ [_131957, _131959] : [-(subset(_131959, _131959))], (594 ^ _111966) ^ [_132066, _132068] : [disjoint(_132068, _132066), -(disjoint(_132066, _132068))], (600 ^ _111966) ^ [_132304, _132306, _132308, _132310] : [unordered_pair(_132310, _132308) = unordered_pair(_132306, _132304), -(_132310 = _132306), -(_132310 = _132304)], (610 ^ _111966) ^ [_132640, _132642] : [subset(_132642, _132640), -(set_union2(_132642, _132640) = _132640)], (616 ^ _111966) ^ [_132841, _132843] : [-(subset(set_intersection2(_132843, _132841), _132843))], (618 ^ _111966) ^ [_132967, _132969, _132971] : [-(subset(_132971, set_intersection2(_132969, _132967))), subset(_132971, _132969), subset(_132971, _132967)], (628 ^ _111966) ^ [_133253] : [-(set_union2(_133253, empty_set) = _133253)], (630 ^ _111966) ^ [_133377, _133379, _133381] : [-(subset(_133381, _133377)), subset(_133381, _133379), subset(_133379, _133377)], (640 ^ _111966) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (642 ^ _111966) ^ [_133753, _133755, _133757] : [subset(_133757, _133755), -(subset(set_intersection2(_133757, _133753), set_intersection2(_133755, _133753)))], (648 ^ _111966) ^ [_133981, _133983] : [subset(_133983, _133981), -(set_intersection2(_133983, _133981) = _133983)], (654 ^ _111966) ^ [_134168] : [-(set_intersection2(_134168, empty_set) = empty_set)], (656 ^ _111966) ^ [_134278, _134280] : [-(_134280 = _134278), 660 ^ _111966 : [(661 ^ _111966) ^ [] : [-(in(657 ^ [_134278, _134280], _134280))], (663 ^ _111966) ^ [] : [in(657 ^ [_134278, _134280], _134278)]], 664 ^ _111966 : [(665 ^ _111966) ^ [] : [-(in(657 ^ [_134278, _134280], _134278))], (667 ^ _111966) ^ [] : [in(657 ^ [_134278, _134280], _134280)]]], (671 ^ _111966) ^ [_134779] : [-(subset(empty_set, _134779))], (673 ^ _111966) ^ [_134900, _134902, _134904] : [subset(_134904, _134902), -(subset(set_difference(_134904, _134900), set_difference(_134902, _134900)))], (679 ^ _111966) ^ [_135113, _135115] : [-(subset(set_difference(_135115, _135113), _135115))], (681 ^ _111966) ^ [_135254, _135256] : [set_difference(_135256, _135254) = empty_set, -(subset(_135256, _135254))], (687 ^ _111966) ^ [_135422, _135424] : [subset(_135424, _135422), -(set_difference(_135424, _135422) = empty_set)], (693 ^ _111966) ^ [_135625, _135627] : [-(set_union2(_135627, set_difference(_135625, _135627)) = set_union2(_135627, _135625))], (695 ^ _111966) ^ [_135714] : [-(set_difference(_135714, empty_set) = _135714)], (697 ^ _111966) ^ [_135844, _135846] : [-(disjoint(_135846, _135844)), 701 ^ _111966 : [(702 ^ _111966) ^ [] : [-(in(700 ^ [_135844, _135846], _135846))], (704 ^ _111966) ^ [] : [-(in(700 ^ [_135844, _135846], _135844))]]], (706 ^ _111966) ^ [_136158, _136160] : [disjoint(_136160, _136158), 707 ^ _111966 : [(708 ^ _111966) ^ [_136250] : [in(_136250, _136160), in(_136250, _136158)]]], (716 ^ _111966) ^ [_136507] : [subset(_136507, empty_set), -(_136507 = empty_set)], (722 ^ _111966) ^ [_136696, _136698] : [-(set_difference(set_union2(_136698, _136696), _136696) = set_difference(_136698, _136696))], (724 ^ _111966) ^ [_136814, _136816] : [subset(_136816, _136814), -(_136814 = set_union2(_136816, set_difference(_136814, _136816)))], (730 ^ _111966) ^ [_137021, _137023] : [-(set_difference(_137023, set_difference(_137023, _137021)) = set_intersection2(_137023, _137021))], (732 ^ _111966) ^ [_137110] : [-(set_difference(empty_set, _137110) = empty_set)], (734 ^ _111966) ^ [_137240, _137242] : [-(disjoint(_137242, _137240)), -(in(737 ^ [_137240, _137242], set_intersection2(_137242, _137240)))], (741 ^ _111966) ^ [_137475, _137477] : [742 ^ _111966 : [(743 ^ _111966) ^ [_137548] : [in(_137548, set_intersection2(_137477, _137475))]], disjoint(_137477, _137475)], (747 ^ _111966) ^ [_137714, _137716] : [subset(_137716, _137714), proper_subset(_137714, _137716)], (753 ^ _111966) ^ [_137937, _137939, _137941] : [-(disjoint(_137941, _137937)), subset(_137941, _137939), disjoint(_137939, _137937)], (763 ^ _111966) ^ [_138217] : [-(unordered_pair(_138217, _138217) = singleton(_138217))], (765 ^ _111966) ^ [_138315] : [empty(_138315), -(_138315 = empty_set)], (771 ^ _111966) ^ [_138517, _138519] : [subset(singleton(_138519), singleton(_138517)), -(_138519 = _138517)], (777 ^ _111966) ^ [_138735, _138737] : [in(_138737, _138735), empty(_138735)], (783 ^ _111966) ^ [_138927, _138929] : [-(subset(_138929, set_union2(_138929, _138927)))], (785 ^ _111966) ^ [_139068, _139070] : [disjoint(_139070, _139068), -(set_difference(_139070, _139068) = _139070)], (791 ^ _111966) ^ [_139236, _139238] : [set_difference(_139238, _139236) = _139238, -(disjoint(_139238, _139236))], (797 ^ _111966) ^ [_139454, _139456] : [empty(_139456), -(_139456 = _139454), empty(_139454)], (807 ^ _111966) ^ [_139765, _139767, _139769] : [-(subset(set_union2(_139769, _139765), _139767)), subset(_139769, _139767), subset(_139765, _139767)], (817 ^ _111966) ^ [_140094, _140096, _140098] : [singleton(_140098) = unordered_pair(_140096, _140094), -(_140098 = _140096)], (823 ^ _111966) ^ [_140314, _140316, _140318] : [singleton(_140318) = unordered_pair(_140316, _140314), -(_140316 = _140314)]], input).
% 0.34/1.37  ncf('1',plain,[set_union2(singleton(828 ^ []), 829 ^ []) = 829 ^ []],start(833 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(set_union2(singleton(828 ^ []), 829 ^ []) = 829 ^ []), subset(singleton(828 ^ []), 829 ^ [])],extension(610 ^ 1,bind([[_132640, _132642], [829 ^ [], singleton(828 ^ [])]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(subset(singleton(828 ^ []), 829 ^ [])), in(828 ^ [], 829 ^ [])],extension(540 ^ 2,bind([[_130245, _130247], [829 ^ [], 828 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.1',plain,[-(in(828 ^ [], 829 ^ []))],extension(831 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------