%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU158+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:02:25 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU158+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.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 13:57:03 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(1033 ^ _137325) ^ [] : [1034 ^ _137325 : [(1035 ^ _137325) ^ [] : [-(subset(singleton(1030 ^ []), 1031 ^ []))], (1037 ^ _137325) ^ [] : [in(1030 ^ [], 1031 ^ [])]], 1038 ^ _137325 : [(1039 ^ _137325) ^ [] : [-(in(1030 ^ [], 1031 ^ []))], (1041 ^ _137325) ^ [] : [subset(singleton(1030 ^ []), 1031 ^ [])]]], (2 ^ _137325) ^ [_137469] : [-(_137469 = _137469)], (4 ^ _137325) ^ [_137576, _137578] : [_137578 = _137576, -(_137576 = _137578)], (10 ^ _137325) ^ [_137780, _137782, _137784] : [-(_137784 = _137780), _137784 = _137782, _137782 = _137780], (20 ^ _137325) ^ [_138121, _138123, _138125, _138127] : [-(proper_subset(_138125, _138121)), proper_subset(_138127, _138123), _138127 = _138125, _138123 = _138121], (34 ^ _137325) ^ [_138565, _138567, _138569, _138571] : [-(disjoint(_138569, _138565)), disjoint(_138571, _138567), _138571 = _138569, _138567 = _138565], (48 ^ _137325) ^ [_138981, _138983] : [-(empty(_138981)), _138983 = _138981, empty(_138983)], (58 ^ _137325) ^ [_139304, _139306, _139308, _139310] : [-(subset(_139308, _139304)), subset(_139310, _139306), _139310 = _139308, _139306 = _139304], (72 ^ _137325) ^ [_139728, _139730, _139732, _139734] : [-(in(_139732, _139728)), in(_139734, _139730), _139734 = _139732, _139730 = _139728], (86 ^ _137325) ^ [_140158, _140160] : [_140160 = _140158, -(union(_140160) = union(_140158))], (92 ^ _137325) ^ [_140404, _140406, _140408, _140410] : [-(cartesian_product2(_140410, _140406) = cartesian_product2(_140408, _140404)), _140410 = _140408, _140406 = _140404], (102 ^ _137325) ^ [_140735, _140737] : [_140737 = _140735, -(powerset(_140737) = powerset(_140735))], (108 ^ _137325) ^ [_140981, _140983, _140985, _140987] : [-(ordered_pair(_140987, _140983) = ordered_pair(_140985, _140981)), _140987 = _140985, _140983 = _140981], (118 ^ _137325) ^ [_141340, _141342, _141344, _141346] : [-(set_intersection2(_141346, _141342) = set_intersection2(_141344, _141340)), _141346 = _141344, _141342 = _141340], (128 ^ _137325) ^ [_141699, _141701, _141703, _141705] : [-(set_difference(_141705, _141701) = set_difference(_141703, _141699)), _141705 = _141703, _141701 = _141699], (138 ^ _137325) ^ [_142058, _142060, _142062, _142064] : [-(set_union2(_142064, _142060) = set_union2(_142062, _142058)), _142064 = _142062, _142060 = _142058], (158 ^ _137325) ^ [_142728, _142730] : [_142730 = _142728, -(singleton(_142730) = singleton(_142728))], (148 ^ _137325) ^ [_142417, _142419, _142421, _142423] : [-(unordered_pair(_142423, _142419) = unordered_pair(_142421, _142417)), _142423 = _142421, _142419 = _142417], (164 ^ _137325) ^ [_142978, _142980] : [in(_142980, _142978), in(_142978, _142980)], (170 ^ _137325) ^ [_143189, _143191] : [proper_subset(_143191, _143189), proper_subset(_143189, _143191)], (176 ^ _137325) ^ [_143385, _143387] : [-(unordered_pair(_143387, _143385) = unordered_pair(_143385, _143387))], (178 ^ _137325) ^ [_143485, _143487] : [-(set_union2(_143487, _143485) = set_union2(_143485, _143487))], (180 ^ _137325) ^ [_143585, _143587] : [-(set_intersection2(_143587, _143585) = set_intersection2(_143585, _143587))], (182 ^ _137325) ^ [_143729, _143731] : [_143731 = _143729, 185 ^ _137325 : [(186 ^ _137325) ^ [] : [-(subset(_143731, _143729))], (188 ^ _137325) ^ [] : [-(subset(_143729, _143731))]]], (190 ^ _137325) ^ [_143966, _143968] : [-(_143968 = _143966), subset(_143968, _143966), subset(_143966, _143968)], (216 ^ _137325) ^ [_144817, _144819] : [-(_144817 = singleton(_144819)), 220 ^ _137325 : [(221 ^ _137325) ^ [] : [-(in(217 ^ [_144817, _144819], _144817))], (223 ^ _137325) ^ [] : [217 ^ [_144817, _144819] = _144819]], 224 ^ _137325 : [(225 ^ _137325) ^ [] : [-(217 ^ [_144817, _144819] = _144819)], (227 ^ _137325) ^ [] : [in(217 ^ [_144817, _144819], _144817)]]], (200 ^ _137325) ^ [_144296, _144298] : [_144296 = singleton(_144298), 203 ^ _137325 : [(204 ^ _137325) ^ [_144466] : [in(_144466, _144296), -(_144466 = _144298)], (210 ^ _137325) ^ [_144638] : [_144638 = _144298, -(in(_144638, _144296))]]], (231 ^ _137325) ^ [_145368] : [_145368 = empty_set, 234 ^ _137325 : [(235 ^ _137325) ^ [_145481] : [in(_145481, _145368)]]], (237 ^ _137325) ^ [_145547] : [-(in(238 ^ [_145547], _145547)), -(_145547 = empty_set)], (260 ^ _137325) ^ [_146359, _146361] : [-(_146359 = powerset(_146361)), 264 ^ _137325 : [(265 ^ _137325) ^ [] : [-(in(261 ^ [_146359, _146361], _146359))], (267 ^ _137325) ^ [] : [subset(261 ^ [_146359, _146361], _146361)]], 268 ^ _137325 : [(269 ^ _137325) ^ [] : [-(subset(261 ^ [_146359, _146361], _146361))], (271 ^ _137325) ^ [] : [in(261 ^ [_146359, _146361], _146359)]]], (244 ^ _137325) ^ [_145838, _145840] : [_145838 = powerset(_145840), 247 ^ _137325 : [(248 ^ _137325) ^ [_146008] : [in(_146008, _145838), -(subset(_146008, _145840))], (254 ^ _137325) ^ [_146180] : [subset(_146180, _145840), -(in(_146180, _145838))]]], (297 ^ _137325) ^ [_147663, _147665, _147667] : [-(_147663 = unordered_pair(_147667, _147665)), 301 ^ _137325 : [(302 ^ _137325) ^ [] : [-(in(298 ^ [_147663, _147665, _147667], _147663))], (304 ^ _137325) ^ [] : [298 ^ [_147663, _147665, _147667] = _147667], (306 ^ _137325) ^ [] : [298 ^ [_147663, _147665, _147667] = _147665]], 307 ^ _137325 : [(314 ^ _137325) ^ [] : [in(298 ^ [_147663, _147665, _147667], _147663)], (308 ^ _137325) ^ [] : [-(298 ^ [_147663, _147665, _147667] = _147667), -(298 ^ [_147663, _147665, _147667] = _147665)]]], (275 ^ _137325) ^ [_146938, _146940, _146942] : [_146938 = unordered_pair(_146942, _146940), 278 ^ _137325 : [(289 ^ _137325) ^ [_147398] : [290 ^ _137325 : [(291 ^ _137325) ^ [] : [_147398 = _146942], (293 ^ _137325) ^ [] : [_147398 = _146940]], -(in(_147398, _146938))], (279 ^ _137325) ^ [_147120] : [in(_147120, _146938), -(_147120 = _146942), -(_147120 = _146940)]]], (340 ^ _137325) ^ [_149182, _149184, _149186] : [-(_149182 = set_union2(_149186, _149184)), 344 ^ _137325 : [(345 ^ _137325) ^ [] : [-(in(341 ^ [_149182, _149184, _149186], _149182))], (347 ^ _137325) ^ [] : [in(341 ^ [_149182, _149184, _149186], _149186)], (349 ^ _137325) ^ [] : [in(341 ^ [_149182, _149184, _149186], _149184)]], 350 ^ _137325 : [(357 ^ _137325) ^ [] : [in(341 ^ [_149182, _149184, _149186], _149182)], (351 ^ _137325) ^ [] : [-(in(341 ^ [_149182, _149184, _149186], _149186)), -(in(341 ^ [_149182, _149184, _149186], _149184))]]], (318 ^ _137325) ^ [_148457, _148459, _148461] : [_148457 = set_union2(_148461, _148459), 321 ^ _137325 : [(332 ^ _137325) ^ [_148917] : [333 ^ _137325 : [(334 ^ _137325) ^ [] : [in(_148917, _148461)], (336 ^ _137325) ^ [] : [in(_148917, _148459)]], -(in(_148917, _148457))], (322 ^ _137325) ^ [_148639] : [in(_148639, _148457), -(in(_148639, _148461)), -(in(_148639, _148459))]]], (391 ^ _137325) ^ [_151233, _151235, _151237] : [-(_151233 = cartesian_product2(_151237, _151235)), 409 ^ _137325 : [(410 ^ _137325) ^ [] : [-(in(407 ^ [_151233, _151235, _151237], _151237))], (412 ^ _137325) ^ [] : [-(in(408 ^ [_151233, _151235, _151237], _151235))], (414 ^ _137325) ^ [] : [-(392 ^ [_151233, _151235, _151237] = ordered_pair(407 ^ [_151233, _151235, _151237], 408 ^ [_151233, _151235, _151237]))], (416 ^ _137325) ^ [] : [in(392 ^ [_151233, _151235, _151237], _151233)]], 395 ^ _137325 : [(396 ^ _137325) ^ [] : [-(in(392 ^ [_151233, _151235, _151237], _151233))], (398 ^ _137325) ^ [_151571, _151573] : [in(_151573, _151237), in(_151571, _151235), 392 ^ [_151233, _151235, _151237] = ordered_pair(_151573, _151571)]]], (361 ^ _137325) ^ [_149976, _149978, _149980] : [_149976 = cartesian_product2(_149980, _149978), 364 ^ _137325 : [(365 ^ _137325) ^ [_150177] : [in(_150177, _149976), 370 ^ _137325 : [(371 ^ _137325) ^ [] : [-(in(368 ^ [_149976, _149978, _149980, _150177], _149980))], (373 ^ _137325) ^ [] : [-(in(369 ^ [_149976, _149978, _149980, _150177], _149978))], (375 ^ _137325) ^ [] : [-(_150177 = ordered_pair(368 ^ [_149976, _149978, _149980, _150177], 369 ^ [_149976, _149978, _149980, _150177]))]]], (377 ^ _137325) ^ [_150737] : [-(in(_150737, _149976)), 378 ^ _137325 : [(379 ^ _137325) ^ [_150867, _150869] : [in(_150869, _149980), in(_150867, _149978), _150737 = ordered_pair(_150869, _150867)]]]]], (430 ^ _137325) ^ [_152824, _152826] : [432 ^ _137325 : [(433 ^ _137325) ^ [] : [-(in(431 ^ [_152824, _152826], _152826))], (435 ^ _137325) ^ [] : [in(431 ^ [_152824, _152826], _152824)]], -(subset(_152826, _152824))], (420 ^ _137325) ^ [_152510, _152512] : [subset(_152512, _152510), 423 ^ _137325 : [(424 ^ _137325) ^ [_152647] : [in(_152647, _152512), -(in(_152647, _152510))]]], (461 ^ _137325) ^ [_153949, _153951, _153953] : [-(_153949 = set_intersection2(_153953, _153951)), 473 ^ _137325 : [(474 ^ _137325) ^ [] : [-(in(462 ^ [_153949, _153951, _153953], _153953))], (476 ^ _137325) ^ [] : [-(in(462 ^ [_153949, _153951, _153953], _153951))], (478 ^ _137325) ^ [] : [in(462 ^ [_153949, _153951, _153953], _153949)]], 465 ^ _137325 : [(466 ^ _137325) ^ [] : [-(in(462 ^ [_153949, _153951, _153953], _153949))], (468 ^ _137325) ^ [] : [in(462 ^ [_153949, _153951, _153953], _153953), in(462 ^ [_153949, _153951, _153953], _153951)]]], (439 ^ _137325) ^ [_153224, _153226, _153228] : [_153224 = set_intersection2(_153228, _153226), 442 ^ _137325 : [(443 ^ _137325) ^ [_153406] : [in(_153406, _153224), 446 ^ _137325 : [(447 ^ _137325) ^ [] : [-(in(_153406, _153228))], (449 ^ _137325) ^ [] : [-(in(_153406, _153226))]]], (451 ^ _137325) ^ [_153665] : [-(in(_153665, _153224)), in(_153665, _153228), in(_153665, _153226)]]], (505 ^ _137325) ^ [_155576, _155578] : [-(_155576 = union(_155578)), 518 ^ _137325 : [(519 ^ _137325) ^ [] : [-(in(506 ^ [_155576, _155578], 517 ^ [_155576, _155578]))], (521 ^ _137325) ^ [] : [-(in(517 ^ [_155576, _155578], _155578))], (523 ^ _137325) ^ [] : [in(506 ^ [_155576, _155578], _155576)]], 509 ^ _137325 : [(510 ^ _137325) ^ [] : [-(in(506 ^ [_155576, _155578], _155576))], (512 ^ _137325) ^ [_155859] : [in(506 ^ [_155576, _155578], _155859), in(_155859, _155578)]]], (482 ^ _137325) ^ [_154731, _154733] : [_154731 = union(_154733), 485 ^ _137325 : [(486 ^ _137325) ^ [_154912] : [in(_154912, _154731), 490 ^ _137325 : [(491 ^ _137325) ^ [] : [-(in(_154912, 489 ^ [_154731, _154733, _154912]))], (493 ^ _137325) ^ [] : [-(in(489 ^ [_154731, _154733, _154912], _154733))]]], (495 ^ _137325) ^ [_155239] : [-(in(_155239, _154731)), 496 ^ _137325 : [(497 ^ _137325) ^ [_155337] : [in(_155239, _155337), in(_155337, _154733)]]]]], (549 ^ _137325) ^ [_157197, _157199, _157201] : [-(_157197 = set_difference(_157201, _157199)), 561 ^ _137325 : [(562 ^ _137325) ^ [] : [-(in(550 ^ [_157197, _157199, _157201], _157201))], (564 ^ _137325) ^ [] : [in(550 ^ [_157197, _157199, _157201], _157199)], (566 ^ _137325) ^ [] : [in(550 ^ [_157197, _157199, _157201], _157197)]], 553 ^ _137325 : [(554 ^ _137325) ^ [] : [-(in(550 ^ [_157197, _157199, _157201], _157197))], (556 ^ _137325) ^ [] : [in(550 ^ [_157197, _157199, _157201], _157201), -(in(550 ^ [_157197, _157199, _157201], _157199))]]], (527 ^ _137325) ^ [_156466, _156468, _156470] : [_156466 = set_difference(_156470, _156468), 530 ^ _137325 : [(531 ^ _137325) ^ [_156650] : [in(_156650, _156466), 534 ^ _137325 : [(535 ^ _137325) ^ [] : [-(in(_156650, _156470))], (537 ^ _137325) ^ [] : [in(_156650, _156468)]]], (539 ^ _137325) ^ [_156910] : [-(in(_156910, _156466)), in(_156910, _156470), -(in(_156910, _156468))]]], (570 ^ _137325) ^ [_157939, _157941] : [-(ordered_pair(_157941, _157939) = unordered_pair(unordered_pair(_157941, _157939), singleton(_157941)))], (572 ^ _137325) ^ [_158088, _158090] : [disjoint(_158090, _158088), -(set_intersection2(_158090, _158088) = empty_set)], (578 ^ _137325) ^ [_158256, _158258] : [set_intersection2(_158258, _158256) = empty_set, -(disjoint(_158258, _158256))], (584 ^ _137325) ^ [_158503, _158505] : [proper_subset(_158505, _158503), 587 ^ _137325 : [(588 ^ _137325) ^ [] : [-(subset(_158505, _158503))], (590 ^ _137325) ^ [] : [_158505 = _158503]]], (592 ^ _137325) ^ [_158741, _158743] : [-(proper_subset(_158743, _158741)), subset(_158743, _158741), -(_158743 = _158741)], (602 ^ _137325) ^ [] : [true___, -(true___)], (608 ^ _137325) ^ [] : [true___, -(true___)], (614 ^ _137325) ^ [] : [true___, -(true___)], (620 ^ _137325) ^ [] : [true___, -(true___)], (626 ^ _137325) ^ [] : [true___, -(true___)], (632 ^ _137325) ^ [] : [true___, -(true___)], (638 ^ _137325) ^ [] : [true___, -(true___)], (644 ^ _137325) ^ [] : [true___, -(true___)], (650 ^ _137325) ^ [] : [true___, -(true___)], (656 ^ _137325) ^ [] : [true___, -(true___)], (662 ^ _137325) ^ [] : [-(empty(empty_set))], (664 ^ _137325) ^ [_160272, _160274] : [empty(ordered_pair(_160274, _160272))], (666 ^ _137325) ^ [_160383, _160385] : [-(empty(_160385)), empty(set_union2(_160385, _160383))], (672 ^ _137325) ^ [_160599, _160601] : [-(empty(_160601)), empty(set_union2(_160599, _160601))], (678 ^ _137325) ^ [_160800, _160802] : [-(set_union2(_160802, _160802) = _160802)], (680 ^ _137325) ^ [_160897, _160899] : [-(set_intersection2(_160899, _160899) = _160899)], (682 ^ _137325) ^ [_160993, _160995] : [proper_subset(_160995, _160995)], (684 ^ _137325) ^ [_161072] : [singleton(_161072) = empty_set], (686 ^ _137325) ^ [_161181, _161183] : [in(_161183, _161181), -(set_union2(singleton(_161183), _161181) = _161181)], (692 ^ _137325) ^ [_161401, _161403] : [disjoint(singleton(_161403), _161401), in(_161403, _161401)], (698 ^ _137325) ^ [_161614, _161616] : [-(in(_161616, _161614)), -(disjoint(singleton(_161616), _161614))], (704 ^ _137325) ^ [_161860, _161862] : [subset(singleton(_161862), _161860), -(in(_161862, _161860))], (710 ^ _137325) ^ [_162026, _162028] : [in(_162028, _162026), -(subset(singleton(_162028), _162026))], (716 ^ _137325) ^ [_162271, _162273] : [set_difference(_162273, _162271) = empty_set, -(subset(_162273, _162271))], (722 ^ _137325) ^ [_162439, _162441] : [subset(_162441, _162439), -(set_difference(_162441, _162439) = empty_set)], (728 ^ _137325) ^ [_162671, _162673, _162675] : [subset(_162675, _162673), -(in(_162671, _162675)), -(subset(_162675, set_difference(_162673, singleton(_162671))))], (748 ^ _137325) ^ [_163280, _163282] : [749 ^ _137325 : [(750 ^ _137325) ^ [] : [_163282 = empty_set], (752 ^ _137325) ^ [] : [_163282 = singleton(_163280)]], -(subset(_163282, singleton(_163280)))], (738 ^ _137325) ^ [_163020, _163022] : [subset(_163022, singleton(_163020)), -(_163022 = empty_set), -(_163022 = singleton(_163020))], (756 ^ _137325) ^ [_163574, _163576] : [in(_163576, _163574), -(subset(_163576, union(_163574)))], (762 ^ _137325) ^ [_163845, _163847, _163849, _163851] : [in(ordered_pair(_163851, _163849), cartesian_product2(_163847, _163845)), 765 ^ _137325 : [(766 ^ _137325) ^ [] : [-(in(_163851, _163847))], (768 ^ _137325) ^ [] : [-(in(_163849, _163845))]]], (770 ^ _137325) ^ [_164110, _164112, _164114, _164116] : [-(in(ordered_pair(_164116, _164114), cartesian_product2(_164112, _164110))), in(_164116, _164112), in(_164114, _164110)], (781 ^ _137325) ^ [] : [-(empty(779 ^ []))], (784 ^ _137325) ^ [] : [empty(782 ^ [])], (786 ^ _137325) ^ [_164607, _164609] : [-(subset(_164609, _164609))], (788 ^ _137325) ^ [_164716, _164718] : [disjoint(_164718, _164716), -(disjoint(_164716, _164718))], (794 ^ _137325) ^ [_164954, _164956, _164958, _164960] : [unordered_pair(_164960, _164958) = unordered_pair(_164956, _164954), -(_164960 = _164956), -(_164960 = _164954)], (804 ^ _137325) ^ [_165290, _165292] : [subset(_165292, _165290), -(set_union2(_165292, _165290) = _165290)], (810 ^ _137325) ^ [_165491, _165493] : [-(subset(set_intersection2(_165493, _165491), _165493))], (812 ^ _137325) ^ [_165617, _165619, _165621] : [-(subset(_165621, set_intersection2(_165619, _165617))), subset(_165621, _165619), subset(_165621, _165617)], (822 ^ _137325) ^ [_165903] : [-(set_union2(_165903, empty_set) = _165903)], (824 ^ _137325) ^ [_166027, _166029, _166031] : [-(subset(_166031, _166027)), subset(_166031, _166029), subset(_166029, _166027)], (834 ^ _137325) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (836 ^ _137325) ^ [_166403, _166405, _166407] : [subset(_166407, _166405), -(subset(set_intersection2(_166407, _166403), set_intersection2(_166405, _166403)))], (842 ^ _137325) ^ [_166631, _166633] : [subset(_166633, _166631), -(set_intersection2(_166633, _166631) = _166633)], (848 ^ _137325) ^ [_166818] : [-(set_intersection2(_166818, empty_set) = empty_set)], (850 ^ _137325) ^ [_166928, _166930] : [-(_166930 = _166928), 854 ^ _137325 : [(855 ^ _137325) ^ [] : [-(in(851 ^ [_166928, _166930], _166930))], (857 ^ _137325) ^ [] : [in(851 ^ [_166928, _166930], _166928)]], 858 ^ _137325 : [(859 ^ _137325) ^ [] : [-(in(851 ^ [_166928, _166930], _166928))], (861 ^ _137325) ^ [] : [in(851 ^ [_166928, _166930], _166930)]]], (865 ^ _137325) ^ [_167429] : [-(subset(empty_set, _167429))], (867 ^ _137325) ^ [_167550, _167552, _167554] : [subset(_167554, _167552), -(subset(set_difference(_167554, _167550), set_difference(_167552, _167550)))], (873 ^ _137325) ^ [_167806, _167808, _167810, _167812] : [ordered_pair(_167812, _167810) = ordered_pair(_167808, _167806), 876 ^ _137325 : [(877 ^ _137325) ^ [] : [-(_167812 = _167808)], (879 ^ _137325) ^ [] : [-(_167810 = _167806)]]], (881 ^ _137325) ^ [_168104, _168106] : [-(subset(set_difference(_168106, _168104), _168106))], (883 ^ _137325) ^ [_168245, _168247] : [set_difference(_168247, _168245) = empty_set, -(subset(_168247, _168245))], (889 ^ _137325) ^ [_168413, _168415] : [subset(_168415, _168413), -(set_difference(_168415, _168413) = empty_set)], (895 ^ _137325) ^ [_168616, _168618] : [-(set_union2(_168618, set_difference(_168616, _168618)) = set_union2(_168618, _168616))], (897 ^ _137325) ^ [_168705] : [-(set_difference(_168705, empty_set) = _168705)], (899 ^ _137325) ^ [_168835, _168837] : [-(disjoint(_168837, _168835)), 903 ^ _137325 : [(904 ^ _137325) ^ [] : [-(in(902 ^ [_168835, _168837], _168837))], (906 ^ _137325) ^ [] : [-(in(902 ^ [_168835, _168837], _168835))]]], (908 ^ _137325) ^ [_169149, _169151] : [disjoint(_169151, _169149), 909 ^ _137325 : [(910 ^ _137325) ^ [_169241] : [in(_169241, _169151), in(_169241, _169149)]]], (918 ^ _137325) ^ [_169498] : [subset(_169498, empty_set), -(_169498 = empty_set)], (924 ^ _137325) ^ [_169687, _169689] : [-(set_difference(set_union2(_169689, _169687), _169687) = set_difference(_169689, _169687))], (926 ^ _137325) ^ [_169805, _169807] : [subset(_169807, _169805), -(_169805 = set_union2(_169807, set_difference(_169805, _169807)))], (932 ^ _137325) ^ [_170012, _170014] : [-(set_difference(_170014, set_difference(_170014, _170012)) = set_intersection2(_170014, _170012))], (934 ^ _137325) ^ [_170101] : [-(set_difference(empty_set, _170101) = empty_set)], (936 ^ _137325) ^ [_170231, _170233] : [-(disjoint(_170233, _170231)), -(in(939 ^ [_170231, _170233], set_intersection2(_170233, _170231)))], (943 ^ _137325) ^ [_170466, _170468] : [944 ^ _137325 : [(945 ^ _137325) ^ [_170539] : [in(_170539, set_intersection2(_170468, _170466))]], disjoint(_170468, _170466)], (949 ^ _137325) ^ [_170705, _170707] : [subset(_170707, _170705), proper_subset(_170705, _170707)], (955 ^ _137325) ^ [_170928, _170930, _170932] : [-(disjoint(_170932, _170928)), subset(_170932, _170930), disjoint(_170930, _170928)], (965 ^ _137325) ^ [_171208] : [-(unordered_pair(_171208, _171208) = singleton(_171208))], (967 ^ _137325) ^ [_171306] : [empty(_171306), -(_171306 = empty_set)], (973 ^ _137325) ^ [_171508, _171510] : [subset(singleton(_171510), singleton(_171508)), -(_171510 = _171508)], (979 ^ _137325) ^ [_171726, _171728] : [in(_171728, _171726), empty(_171726)], (985 ^ _137325) ^ [_171918, _171920] : [-(subset(_171920, set_union2(_171920, _171918)))], (987 ^ _137325) ^ [_172059, _172061] : [disjoint(_172061, _172059), -(set_difference(_172061, _172059) = _172061)], (993 ^ _137325) ^ [_172227, _172229] : [set_difference(_172229, _172227) = _172229, -(disjoint(_172229, _172227))], (999 ^ _137325) ^ [_172445, _172447] : [empty(_172447), -(_172447 = _172445), empty(_172445)], (1009 ^ _137325) ^ [_172756, _172758, _172760] : [-(subset(set_union2(_172760, _172756), _172758)), subset(_172760, _172758), subset(_172756, _172758)], (1019 ^ _137325) ^ [_173085, _173087, _173089] : [singleton(_173089) = unordered_pair(_173087, _173085), -(_173089 = _173087)], (1025 ^ _137325) ^ [_173305, _173307, _173309] : [singleton(_173309) = unordered_pair(_173307, _173305), -(_173307 = _173305)]], input).
% 0.35/1.37  ncf('1',plain,[1037 : in(1030 ^ [], 1031 ^ []), 1041 : subset(singleton(1030 ^ []), 1031 ^ [])],start(1033 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(in(1030 ^ [], 1031 ^ [])), subset(singleton(1030 ^ []), 1031 ^ [])],extension(704 ^ 3,bind([[_161860, _161862], [1031 ^ [], 1030 ^ []]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(subset(singleton(1030 ^ []), 1031 ^ []))],extension(1035 ^ 4)).
% 0.35/1.37  ncf('1.2',plain,[-(subset(singleton(1030 ^ []), 1031 ^ [])), in(1030 ^ [], 1031 ^ [])],extension(710 ^ 3,bind([[_162026, _162028], [1031 ^ [], 1030 ^ []]]))).
% 0.35/1.37  ncf('1.2.1',plain,[-(in(1030 ^ [], 1031 ^ []))],extension(1039 ^ 4)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------