%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU163+2 : 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 12:02:27 EDT 2023

% Result   : Theorem 0.23s 1.33s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SEU163+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.10  % Command  : nanocop.sh %s %d
% 0.09/0.29  % Computer : n027.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Thu May 18 14:01:05 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.23/1.33  
% 0.23/1.33  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.23/1.33  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/1.33  %-----------------------------------------------------
% 0.23/1.33  ncf(matrix, plain, [(1099 ^ _143882) ^ [] : [-(in(1096 ^ [], 1097 ^ []))], (1101 ^ _143882) ^ [] : [subset(1096 ^ [], union(1097 ^ []))], (2 ^ _143882) ^ [_144026] : [-(_144026 = _144026)], (4 ^ _143882) ^ [_144133, _144135] : [_144135 = _144133, -(_144133 = _144135)], (10 ^ _143882) ^ [_144337, _144339, _144341] : [-(_144341 = _144337), _144341 = _144339, _144339 = _144337], (20 ^ _143882) ^ [_144678, _144680, _144682, _144684] : [-(proper_subset(_144682, _144678)), proper_subset(_144684, _144680), _144684 = _144682, _144680 = _144678], (34 ^ _143882) ^ [_145122, _145124, _145126, _145128] : [-(disjoint(_145126, _145122)), disjoint(_145128, _145124), _145128 = _145126, _145124 = _145122], (48 ^ _143882) ^ [_145538, _145540] : [-(empty(_145538)), _145540 = _145538, empty(_145540)], (58 ^ _143882) ^ [_145861, _145863, _145865, _145867] : [-(in(_145865, _145861)), in(_145867, _145863), _145867 = _145865, _145863 = _145861], (72 ^ _143882) ^ [_146285, _146287, _146289, _146291] : [-(subset(_146289, _146285)), subset(_146291, _146287), _146291 = _146289, _146287 = _146285], (86 ^ _143882) ^ [_146743, _146745, _146747, _146749] : [-(cartesian_product2(_146749, _146745) = cartesian_product2(_146747, _146743)), _146749 = _146747, _146745 = _146743], (96 ^ _143882) ^ [_147074, _147076] : [_147076 = _147074, -(powerset(_147076) = powerset(_147074))], (102 ^ _143882) ^ [_147320, _147322, _147324, _147326] : [-(ordered_pair(_147326, _147322) = ordered_pair(_147324, _147320)), _147326 = _147324, _147322 = _147320], (112 ^ _143882) ^ [_147679, _147681, _147683, _147685] : [-(set_intersection2(_147685, _147681) = set_intersection2(_147683, _147679)), _147685 = _147683, _147681 = _147679], (122 ^ _143882) ^ [_148038, _148040, _148042, _148044] : [-(set_difference(_148044, _148040) = set_difference(_148042, _148038)), _148044 = _148042, _148040 = _148038], (132 ^ _143882) ^ [_148397, _148399, _148401, _148403] : [-(set_union2(_148403, _148399) = set_union2(_148401, _148397)), _148403 = _148401, _148399 = _148397], (142 ^ _143882) ^ [_148728, _148730] : [_148730 = _148728, -(singleton(_148730) = singleton(_148728))], (158 ^ _143882) ^ [_149285, _149287] : [_149287 = _149285, -(union(_149287) = union(_149285))], (148 ^ _143882) ^ [_148974, _148976, _148978, _148980] : [-(unordered_pair(_148980, _148976) = unordered_pair(_148978, _148974)), _148980 = _148978, _148976 = _148974], (164 ^ _143882) ^ [_149535, _149537] : [in(_149537, _149535), in(_149535, _149537)], (170 ^ _143882) ^ [_149746, _149748] : [proper_subset(_149748, _149746), proper_subset(_149746, _149748)], (176 ^ _143882) ^ [_149942, _149944] : [-(unordered_pair(_149944, _149942) = unordered_pair(_149942, _149944))], (178 ^ _143882) ^ [_150042, _150044] : [-(set_union2(_150044, _150042) = set_union2(_150042, _150044))], (180 ^ _143882) ^ [_150142, _150144] : [-(set_intersection2(_150144, _150142) = set_intersection2(_150142, _150144))], (182 ^ _143882) ^ [_150286, _150288] : [_150288 = _150286, 185 ^ _143882 : [(186 ^ _143882) ^ [] : [-(subset(_150288, _150286))], (188 ^ _143882) ^ [] : [-(subset(_150286, _150288))]]], (190 ^ _143882) ^ [_150523, _150525] : [-(_150525 = _150523), subset(_150525, _150523), subset(_150523, _150525)], (216 ^ _143882) ^ [_151374, _151376] : [-(_151374 = singleton(_151376)), 220 ^ _143882 : [(221 ^ _143882) ^ [] : [-(in(217 ^ [_151374, _151376], _151374))], (223 ^ _143882) ^ [] : [217 ^ [_151374, _151376] = _151376]], 224 ^ _143882 : [(225 ^ _143882) ^ [] : [-(217 ^ [_151374, _151376] = _151376)], (227 ^ _143882) ^ [] : [in(217 ^ [_151374, _151376], _151374)]]], (200 ^ _143882) ^ [_150853, _150855] : [_150853 = singleton(_150855), 203 ^ _143882 : [(204 ^ _143882) ^ [_151023] : [in(_151023, _150853), -(_151023 = _150855)], (210 ^ _143882) ^ [_151195] : [_151195 = _150855, -(in(_151195, _150853))]]], (231 ^ _143882) ^ [_151925] : [_151925 = empty_set, 234 ^ _143882 : [(235 ^ _143882) ^ [_152038] : [in(_152038, _151925)]]], (237 ^ _143882) ^ [_152104] : [-(in(238 ^ [_152104], _152104)), -(_152104 = empty_set)], (260 ^ _143882) ^ [_152916, _152918] : [-(_152916 = powerset(_152918)), 264 ^ _143882 : [(265 ^ _143882) ^ [] : [-(in(261 ^ [_152916, _152918], _152916))], (267 ^ _143882) ^ [] : [subset(261 ^ [_152916, _152918], _152918)]], 268 ^ _143882 : [(269 ^ _143882) ^ [] : [-(subset(261 ^ [_152916, _152918], _152918))], (271 ^ _143882) ^ [] : [in(261 ^ [_152916, _152918], _152916)]]], (244 ^ _143882) ^ [_152395, _152397] : [_152395 = powerset(_152397), 247 ^ _143882 : [(248 ^ _143882) ^ [_152565] : [in(_152565, _152395), -(subset(_152565, _152397))], (254 ^ _143882) ^ [_152737] : [subset(_152737, _152397), -(in(_152737, _152395))]]], (297 ^ _143882) ^ [_154220, _154222, _154224] : [-(_154220 = unordered_pair(_154224, _154222)), 301 ^ _143882 : [(302 ^ _143882) ^ [] : [-(in(298 ^ [_154220, _154222, _154224], _154220))], (304 ^ _143882) ^ [] : [298 ^ [_154220, _154222, _154224] = _154224], (306 ^ _143882) ^ [] : [298 ^ [_154220, _154222, _154224] = _154222]], 307 ^ _143882 : [(314 ^ _143882) ^ [] : [in(298 ^ [_154220, _154222, _154224], _154220)], (308 ^ _143882) ^ [] : [-(298 ^ [_154220, _154222, _154224] = _154224), -(298 ^ [_154220, _154222, _154224] = _154222)]]], (275 ^ _143882) ^ [_153495, _153497, _153499] : [_153495 = unordered_pair(_153499, _153497), 278 ^ _143882 : [(289 ^ _143882) ^ [_153955] : [290 ^ _143882 : [(291 ^ _143882) ^ [] : [_153955 = _153499], (293 ^ _143882) ^ [] : [_153955 = _153497]], -(in(_153955, _153495))], (279 ^ _143882) ^ [_153677] : [in(_153677, _153495), -(_153677 = _153499), -(_153677 = _153497)]]], (340 ^ _143882) ^ [_155739, _155741, _155743] : [-(_155739 = set_union2(_155743, _155741)), 344 ^ _143882 : [(345 ^ _143882) ^ [] : [-(in(341 ^ [_155739, _155741, _155743], _155739))], (347 ^ _143882) ^ [] : [in(341 ^ [_155739, _155741, _155743], _155743)], (349 ^ _143882) ^ [] : [in(341 ^ [_155739, _155741, _155743], _155741)]], 350 ^ _143882 : [(357 ^ _143882) ^ [] : [in(341 ^ [_155739, _155741, _155743], _155739)], (351 ^ _143882) ^ [] : [-(in(341 ^ [_155739, _155741, _155743], _155743)), -(in(341 ^ [_155739, _155741, _155743], _155741))]]], (318 ^ _143882) ^ [_155014, _155016, _155018] : [_155014 = set_union2(_155018, _155016), 321 ^ _143882 : [(332 ^ _143882) ^ [_155474] : [333 ^ _143882 : [(334 ^ _143882) ^ [] : [in(_155474, _155018)], (336 ^ _143882) ^ [] : [in(_155474, _155016)]], -(in(_155474, _155014))], (322 ^ _143882) ^ [_155196] : [in(_155196, _155014), -(in(_155196, _155018)), -(in(_155196, _155016))]]], (391 ^ _143882) ^ [_157790, _157792, _157794] : [-(_157790 = cartesian_product2(_157794, _157792)), 409 ^ _143882 : [(410 ^ _143882) ^ [] : [-(in(407 ^ [_157790, _157792, _157794], _157794))], (412 ^ _143882) ^ [] : [-(in(408 ^ [_157790, _157792, _157794], _157792))], (414 ^ _143882) ^ [] : [-(392 ^ [_157790, _157792, _157794] = ordered_pair(407 ^ [_157790, _157792, _157794], 408 ^ [_157790, _157792, _157794]))], (416 ^ _143882) ^ [] : [in(392 ^ [_157790, _157792, _157794], _157790)]], 395 ^ _143882 : [(396 ^ _143882) ^ [] : [-(in(392 ^ [_157790, _157792, _157794], _157790))], (398 ^ _143882) ^ [_158128, _158130] : [in(_158130, _157794), in(_158128, _157792), 392 ^ [_157790, _157792, _157794] = ordered_pair(_158130, _158128)]]], (361 ^ _143882) ^ [_156533, _156535, _156537] : [_156533 = cartesian_product2(_156537, _156535), 364 ^ _143882 : [(365 ^ _143882) ^ [_156734] : [in(_156734, _156533), 370 ^ _143882 : [(371 ^ _143882) ^ [] : [-(in(368 ^ [_156533, _156535, _156537, _156734], _156537))], (373 ^ _143882) ^ [] : [-(in(369 ^ [_156533, _156535, _156537, _156734], _156535))], (375 ^ _143882) ^ [] : [-(_156734 = ordered_pair(368 ^ [_156533, _156535, _156537, _156734], 369 ^ [_156533, _156535, _156537, _156734]))]]], (377 ^ _143882) ^ [_157294] : [-(in(_157294, _156533)), 378 ^ _143882 : [(379 ^ _143882) ^ [_157424, _157426] : [in(_157426, _156537), in(_157424, _156535), _157294 = ordered_pair(_157426, _157424)]]]]], (430 ^ _143882) ^ [_159381, _159383] : [432 ^ _143882 : [(433 ^ _143882) ^ [] : [-(in(431 ^ [_159381, _159383], _159383))], (435 ^ _143882) ^ [] : [in(431 ^ [_159381, _159383], _159381)]], -(subset(_159383, _159381))], (420 ^ _143882) ^ [_159067, _159069] : [subset(_159069, _159067), 423 ^ _143882 : [(424 ^ _143882) ^ [_159204] : [in(_159204, _159069), -(in(_159204, _159067))]]], (461 ^ _143882) ^ [_160506, _160508, _160510] : [-(_160506 = set_intersection2(_160510, _160508)), 473 ^ _143882 : [(474 ^ _143882) ^ [] : [-(in(462 ^ [_160506, _160508, _160510], _160510))], (476 ^ _143882) ^ [] : [-(in(462 ^ [_160506, _160508, _160510], _160508))], (478 ^ _143882) ^ [] : [in(462 ^ [_160506, _160508, _160510], _160506)]], 465 ^ _143882 : [(466 ^ _143882) ^ [] : [-(in(462 ^ [_160506, _160508, _160510], _160506))], (468 ^ _143882) ^ [] : [in(462 ^ [_160506, _160508, _160510], _160510), in(462 ^ [_160506, _160508, _160510], _160508)]]], (439 ^ _143882) ^ [_159781, _159783, _159785] : [_159781 = set_intersection2(_159785, _159783), 442 ^ _143882 : [(443 ^ _143882) ^ [_159963] : [in(_159963, _159781), 446 ^ _143882 : [(447 ^ _143882) ^ [] : [-(in(_159963, _159785))], (449 ^ _143882) ^ [] : [-(in(_159963, _159783))]]], (451 ^ _143882) ^ [_160222] : [-(in(_160222, _159781)), in(_160222, _159785), in(_160222, _159783)]]], (505 ^ _143882) ^ [_162133, _162135] : [-(_162133 = union(_162135)), 518 ^ _143882 : [(519 ^ _143882) ^ [] : [-(in(506 ^ [_162133, _162135], 517 ^ [_162133, _162135]))], (521 ^ _143882) ^ [] : [-(in(517 ^ [_162133, _162135], _162135))], (523 ^ _143882) ^ [] : [in(506 ^ [_162133, _162135], _162133)]], 509 ^ _143882 : [(510 ^ _143882) ^ [] : [-(in(506 ^ [_162133, _162135], _162133))], (512 ^ _143882) ^ [_162416] : [in(506 ^ [_162133, _162135], _162416), in(_162416, _162135)]]], (482 ^ _143882) ^ [_161288, _161290] : [_161288 = union(_161290), 485 ^ _143882 : [(486 ^ _143882) ^ [_161469] : [in(_161469, _161288), 490 ^ _143882 : [(491 ^ _143882) ^ [] : [-(in(_161469, 489 ^ [_161288, _161290, _161469]))], (493 ^ _143882) ^ [] : [-(in(489 ^ [_161288, _161290, _161469], _161290))]]], (495 ^ _143882) ^ [_161796] : [-(in(_161796, _161288)), 496 ^ _143882 : [(497 ^ _143882) ^ [_161894] : [in(_161796, _161894), in(_161894, _161290)]]]]], (549 ^ _143882) ^ [_163754, _163756, _163758] : [-(_163754 = set_difference(_163758, _163756)), 561 ^ _143882 : [(562 ^ _143882) ^ [] : [-(in(550 ^ [_163754, _163756, _163758], _163758))], (564 ^ _143882) ^ [] : [in(550 ^ [_163754, _163756, _163758], _163756)], (566 ^ _143882) ^ [] : [in(550 ^ [_163754, _163756, _163758], _163754)]], 553 ^ _143882 : [(554 ^ _143882) ^ [] : [-(in(550 ^ [_163754, _163756, _163758], _163754))], (556 ^ _143882) ^ [] : [in(550 ^ [_163754, _163756, _163758], _163758), -(in(550 ^ [_163754, _163756, _163758], _163756))]]], (527 ^ _143882) ^ [_163023, _163025, _163027] : [_163023 = set_difference(_163027, _163025), 530 ^ _143882 : [(531 ^ _143882) ^ [_163207] : [in(_163207, _163023), 534 ^ _143882 : [(535 ^ _143882) ^ [] : [-(in(_163207, _163027))], (537 ^ _143882) ^ [] : [in(_163207, _163025)]]], (539 ^ _143882) ^ [_163467] : [-(in(_163467, _163023)), in(_163467, _163027), -(in(_163467, _163025))]]], (570 ^ _143882) ^ [_164496, _164498] : [-(ordered_pair(_164498, _164496) = unordered_pair(unordered_pair(_164498, _164496), singleton(_164498)))], (572 ^ _143882) ^ [_164645, _164647] : [disjoint(_164647, _164645), -(set_intersection2(_164647, _164645) = empty_set)], (578 ^ _143882) ^ [_164813, _164815] : [set_intersection2(_164815, _164813) = empty_set, -(disjoint(_164815, _164813))], (584 ^ _143882) ^ [_165060, _165062] : [proper_subset(_165062, _165060), 587 ^ _143882 : [(588 ^ _143882) ^ [] : [-(subset(_165062, _165060))], (590 ^ _143882) ^ [] : [_165062 = _165060]]], (592 ^ _143882) ^ [_165298, _165300] : [-(proper_subset(_165300, _165298)), subset(_165300, _165298), -(_165300 = _165298)], (602 ^ _143882) ^ [] : [true___, -(true___)], (608 ^ _143882) ^ [] : [true___, -(true___)], (614 ^ _143882) ^ [] : [true___, -(true___)], (620 ^ _143882) ^ [] : [true___, -(true___)], (626 ^ _143882) ^ [] : [true___, -(true___)], (632 ^ _143882) ^ [] : [true___, -(true___)], (638 ^ _143882) ^ [] : [true___, -(true___)], (644 ^ _143882) ^ [] : [true___, -(true___)], (650 ^ _143882) ^ [] : [true___, -(true___)], (656 ^ _143882) ^ [] : [true___, -(true___)], (662 ^ _143882) ^ [] : [-(empty(empty_set))], (664 ^ _143882) ^ [_166829, _166831] : [empty(ordered_pair(_166831, _166829))], (666 ^ _143882) ^ [_166940, _166942] : [-(empty(_166942)), empty(set_union2(_166942, _166940))], (672 ^ _143882) ^ [_167156, _167158] : [-(empty(_167158)), empty(set_union2(_167156, _167158))], (678 ^ _143882) ^ [_167357, _167359] : [-(set_union2(_167359, _167359) = _167359)], (680 ^ _143882) ^ [_167454, _167456] : [-(set_intersection2(_167456, _167456) = _167456)], (682 ^ _143882) ^ [_167550, _167552] : [proper_subset(_167552, _167552)], (684 ^ _143882) ^ [_167629] : [singleton(_167629) = empty_set], (686 ^ _143882) ^ [_167738, _167740] : [in(_167740, _167738), -(set_union2(singleton(_167740), _167738) = _167738)], (692 ^ _143882) ^ [_167958, _167960] : [disjoint(singleton(_167960), _167958), in(_167960, _167958)], (698 ^ _143882) ^ [_168171, _168173] : [-(in(_168173, _168171)), -(disjoint(singleton(_168173), _168171))], (704 ^ _143882) ^ [_168417, _168419] : [subset(singleton(_168419), _168417), -(in(_168419, _168417))], (710 ^ _143882) ^ [_168583, _168585] : [in(_168585, _168583), -(subset(singleton(_168585), _168583))], (716 ^ _143882) ^ [_168828, _168830] : [set_difference(_168830, _168828) = empty_set, -(subset(_168830, _168828))], (722 ^ _143882) ^ [_168996, _168998] : [subset(_168998, _168996), -(set_difference(_168998, _168996) = empty_set)], (728 ^ _143882) ^ [_169228, _169230, _169232] : [subset(_169232, _169230), -(in(_169228, _169232)), -(subset(_169232, set_difference(_169230, singleton(_169228))))], (748 ^ _143882) ^ [_169837, _169839] : [749 ^ _143882 : [(750 ^ _143882) ^ [] : [_169839 = empty_set], (752 ^ _143882) ^ [] : [_169839 = singleton(_169837)]], -(subset(_169839, singleton(_169837)))], (738 ^ _143882) ^ [_169577, _169579] : [subset(_169579, singleton(_169577)), -(_169579 = empty_set), -(_169579 = singleton(_169577))], (756 ^ _143882) ^ [_170131, _170133] : [in(_170133, _170131), -(subset(_170133, union(_170131)))], (762 ^ _143882) ^ [_170402, _170404, _170406, _170408] : [in(ordered_pair(_170408, _170406), cartesian_product2(_170404, _170402)), 765 ^ _143882 : [(766 ^ _143882) ^ [] : [-(in(_170408, _170404))], (768 ^ _143882) ^ [] : [-(in(_170406, _170402))]]], (770 ^ _143882) ^ [_170667, _170669, _170671, _170673] : [-(in(ordered_pair(_170673, _170671), cartesian_product2(_170669, _170667))), in(_170673, _170669), in(_170671, _170667)], (781 ^ _143882) ^ [] : [-(empty(779 ^ []))], (784 ^ _143882) ^ [] : [empty(782 ^ [])], (786 ^ _143882) ^ [_171164, _171166] : [-(subset(_171166, _171166))], (788 ^ _143882) ^ [_171273, _171275] : [disjoint(_171275, _171273), -(disjoint(_171273, _171275))], (794 ^ _143882) ^ [_171511, _171513, _171515, _171517] : [unordered_pair(_171517, _171515) = unordered_pair(_171513, _171511), -(_171517 = _171513), -(_171517 = _171511)], (804 ^ _143882) ^ [_171847, _171849] : [subset(_171849, _171847), -(set_union2(_171849, _171847) = _171847)], (810 ^ _143882) ^ [_172048, _172050] : [-(subset(set_intersection2(_172050, _172048), _172050))], (812 ^ _143882) ^ [_172174, _172176, _172178] : [-(subset(_172178, set_intersection2(_172176, _172174))), subset(_172178, _172176), subset(_172178, _172174)], (822 ^ _143882) ^ [_172460] : [-(set_union2(_172460, empty_set) = _172460)], (824 ^ _143882) ^ [_172584, _172586, _172588] : [-(subset(_172588, _172584)), subset(_172588, _172586), subset(_172586, _172584)], (834 ^ _143882) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (836 ^ _143882) ^ [_172960, _172962, _172964] : [subset(_172964, _172962), -(subset(set_intersection2(_172964, _172960), set_intersection2(_172962, _172960)))], (842 ^ _143882) ^ [_173188, _173190] : [subset(_173190, _173188), -(set_intersection2(_173190, _173188) = _173190)], (848 ^ _143882) ^ [_173375] : [-(set_intersection2(_173375, empty_set) = empty_set)], (850 ^ _143882) ^ [_173485, _173487] : [-(_173487 = _173485), 854 ^ _143882 : [(855 ^ _143882) ^ [] : [-(in(851 ^ [_173485, _173487], _173487))], (857 ^ _143882) ^ [] : [in(851 ^ [_173485, _173487], _173485)]], 858 ^ _143882 : [(859 ^ _143882) ^ [] : [-(in(851 ^ [_173485, _173487], _173485))], (861 ^ _143882) ^ [] : [in(851 ^ [_173485, _173487], _173487)]]], (865 ^ _143882) ^ [_173986] : [-(subset(empty_set, _173986))], (867 ^ _143882) ^ [_174107, _174109, _174111] : [subset(_174111, _174109), -(subset(set_difference(_174111, _174107), set_difference(_174109, _174107)))], (873 ^ _143882) ^ [_174363, _174365, _174367, _174369] : [ordered_pair(_174369, _174367) = ordered_pair(_174365, _174363), 876 ^ _143882 : [(877 ^ _143882) ^ [] : [-(_174369 = _174365)], (879 ^ _143882) ^ [] : [-(_174367 = _174363)]]], (881 ^ _143882) ^ [_174661, _174663] : [-(subset(set_difference(_174663, _174661), _174663))], (883 ^ _143882) ^ [_174802, _174804] : [set_difference(_174804, _174802) = empty_set, -(subset(_174804, _174802))], (889 ^ _143882) ^ [_174970, _174972] : [subset(_174972, _174970), -(set_difference(_174972, _174970) = empty_set)], (895 ^ _143882) ^ [_175217, _175219] : [subset(singleton(_175219), _175217), -(in(_175219, _175217))], (901 ^ _143882) ^ [_175383, _175385] : [in(_175385, _175383), -(subset(singleton(_175385), _175383))], (907 ^ _143882) ^ [_175642, _175644, _175646] : [subset(unordered_pair(_175646, _175644), _175642), 910 ^ _143882 : [(911 ^ _143882) ^ [] : [-(in(_175646, _175642))], (913 ^ _143882) ^ [] : [-(in(_175644, _175642))]]], (915 ^ _143882) ^ [_175893, _175895, _175897] : [-(subset(unordered_pair(_175897, _175895), _175893)), in(_175897, _175893), in(_175895, _175893)], (925 ^ _143882) ^ [_176195, _176197] : [-(set_union2(_176197, set_difference(_176195, _176197)) = set_union2(_176197, _176195))], (937 ^ _143882) ^ [_176602, _176604] : [938 ^ _143882 : [(939 ^ _143882) ^ [] : [_176604 = empty_set], (941 ^ _143882) ^ [] : [_176604 = singleton(_176602)]], -(subset(_176604, singleton(_176602)))], (927 ^ _143882) ^ [_176342, _176344] : [subset(_176344, singleton(_176342)), -(_176344 = empty_set), -(_176344 = singleton(_176342))], (945 ^ _143882) ^ [_176867] : [-(set_difference(_176867, empty_set) = _176867)], (947 ^ _143882) ^ [_176997, _176999] : [-(disjoint(_176999, _176997)), 951 ^ _143882 : [(952 ^ _143882) ^ [] : [-(in(950 ^ [_176997, _176999], _176999))], (954 ^ _143882) ^ [] : [-(in(950 ^ [_176997, _176999], _176997))]]], (956 ^ _143882) ^ [_177311, _177313] : [disjoint(_177313, _177311), 957 ^ _143882 : [(958 ^ _143882) ^ [_177403] : [in(_177403, _177313), in(_177403, _177311)]]], (966 ^ _143882) ^ [_177660] : [subset(_177660, empty_set), -(_177660 = empty_set)], (972 ^ _143882) ^ [_177849, _177851] : [-(set_difference(set_union2(_177851, _177849), _177849) = set_difference(_177851, _177849))], (974 ^ _143882) ^ [_177967, _177969] : [subset(_177969, _177967), -(_177967 = set_union2(_177969, set_difference(_177967, _177969)))], (980 ^ _143882) ^ [_178189, _178191] : [in(_178191, _178189), -(set_union2(singleton(_178191), _178189) = _178189)], (986 ^ _143882) ^ [_178394, _178396] : [-(set_difference(_178396, set_difference(_178396, _178394)) = set_intersection2(_178396, _178394))], (988 ^ _143882) ^ [_178483] : [-(set_difference(empty_set, _178483) = empty_set)], (990 ^ _143882) ^ [_178613, _178615] : [-(disjoint(_178615, _178613)), -(in(993 ^ [_178613, _178615], set_intersection2(_178615, _178613)))], (997 ^ _143882) ^ [_178848, _178850] : [998 ^ _143882 : [(999 ^ _143882) ^ [_178921] : [in(_178921, set_intersection2(_178850, _178848))]], disjoint(_178850, _178848)], (1003 ^ _143882) ^ [_179087, _179089] : [subset(_179089, _179087), proper_subset(_179087, _179089)], (1009 ^ _143882) ^ [_179310, _179312, _179314] : [-(disjoint(_179314, _179310)), subset(_179314, _179312), disjoint(_179312, _179310)], (1019 ^ _143882) ^ [_179648, _179650] : [set_difference(_179650, singleton(_179648)) = _179650, in(_179648, _179650)], (1025 ^ _143882) ^ [_179821, _179823] : [-(in(_179821, _179823)), -(set_difference(_179823, singleton(_179821)) = _179823)], (1031 ^ _143882) ^ [_180017] : [-(unordered_pair(_180017, _180017) = singleton(_180017))], (1033 ^ _143882) ^ [_180115] : [empty(_180115), -(_180115 = empty_set)], (1039 ^ _143882) ^ [_180317, _180319] : [subset(singleton(_180319), singleton(_180317)), -(_180319 = _180317)], (1045 ^ _143882) ^ [_180535, _180537] : [in(_180537, _180535), empty(_180535)], (1051 ^ _143882) ^ [_180727, _180729] : [-(subset(_180729, set_union2(_180729, _180727)))], (1053 ^ _143882) ^ [_180868, _180870] : [disjoint(_180870, _180868), -(set_difference(_180870, _180868) = _180870)], (1059 ^ _143882) ^ [_181036, _181038] : [set_difference(_181038, _181036) = _181038, -(disjoint(_181038, _181036))], (1065 ^ _143882) ^ [_181254, _181256] : [empty(_181256), -(_181256 = _181254), empty(_181254)], (1075 ^ _143882) ^ [_181565, _181567, _181569] : [-(subset(set_union2(_181569, _181565), _181567)), subset(_181569, _181567), subset(_181565, _181567)], (1085 ^ _143882) ^ [_181894, _181896, _181898] : [singleton(_181898) = unordered_pair(_181896, _181894), -(_181898 = _181896)], (1091 ^ _143882) ^ [_182114, _182116, _182118] : [singleton(_182118) = unordered_pair(_182116, _182114), -(_182116 = _182114)]], input).
% 0.23/1.33  ncf('1',plain,[subset(1096 ^ [], union(1097 ^ []))],start(1101 ^ 0)).
% 0.23/1.33  ncf('1.1',plain,[-(subset(1096 ^ [], union(1097 ^ []))), in(1096 ^ [], 1097 ^ [])],extension(756 ^ 1,bind([[_170131, _170133], [1097 ^ [], 1096 ^ []]]))).
% 0.23/1.33  ncf('1.1.1',plain,[-(in(1096 ^ [], 1097 ^ []))],extension(1099 ^ 2)).
% 0.23/1.33  %-----------------------------------------------------
% 0.23/1.33  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------