%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n013.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 0.37s 1.37s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU161+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 13:20:20 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.37/1.37  
% 0.37/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  ncf(matrix, plain, [(1081 ^ _141339) ^ [] : [-(in(1078 ^ [], 1079 ^ []))], (1083 ^ _141339) ^ [] : [set_union2(singleton(1078 ^ []), 1079 ^ []) = 1079 ^ []], (2 ^ _141339) ^ [_141483] : [-(_141483 = _141483)], (4 ^ _141339) ^ [_141590, _141592] : [_141592 = _141590, -(_141590 = _141592)], (10 ^ _141339) ^ [_141794, _141796, _141798] : [-(_141798 = _141794), _141798 = _141796, _141796 = _141794], (20 ^ _141339) ^ [_142135, _142137, _142139, _142141] : [-(proper_subset(_142139, _142135)), proper_subset(_142141, _142137), _142141 = _142139, _142137 = _142135], (34 ^ _141339) ^ [_142579, _142581, _142583, _142585] : [-(disjoint(_142583, _142579)), disjoint(_142585, _142581), _142585 = _142583, _142581 = _142579], (48 ^ _141339) ^ [_142995, _142997] : [-(empty(_142995)), _142997 = _142995, empty(_142997)], (58 ^ _141339) ^ [_143318, _143320, _143322, _143324] : [-(subset(_143322, _143318)), subset(_143324, _143320), _143324 = _143322, _143320 = _143318], (72 ^ _141339) ^ [_143742, _143744, _143746, _143748] : [-(in(_143746, _143742)), in(_143748, _143744), _143748 = _143746, _143744 = _143742], (86 ^ _141339) ^ [_144172, _144174] : [_144174 = _144172, -(union(_144174) = union(_144172))], (92 ^ _141339) ^ [_144418, _144420, _144422, _144424] : [-(cartesian_product2(_144424, _144420) = cartesian_product2(_144422, _144418)), _144424 = _144422, _144420 = _144418], (102 ^ _141339) ^ [_144749, _144751] : [_144751 = _144749, -(powerset(_144751) = powerset(_144749))], (108 ^ _141339) ^ [_144995, _144997, _144999, _145001] : [-(ordered_pair(_145001, _144997) = ordered_pair(_144999, _144995)), _145001 = _144999, _144997 = _144995], (118 ^ _141339) ^ [_145354, _145356, _145358, _145360] : [-(set_intersection2(_145360, _145356) = set_intersection2(_145358, _145354)), _145360 = _145358, _145356 = _145354], (128 ^ _141339) ^ [_145713, _145715, _145717, _145719] : [-(set_difference(_145719, _145715) = set_difference(_145717, _145713)), _145719 = _145717, _145715 = _145713], (138 ^ _141339) ^ [_146072, _146074, _146076, _146078] : [-(unordered_pair(_146078, _146074) = unordered_pair(_146076, _146072)), _146078 = _146076, _146074 = _146072], (158 ^ _141339) ^ [_146742, _146744] : [_146744 = _146742, -(singleton(_146744) = singleton(_146742))], (148 ^ _141339) ^ [_146431, _146433, _146435, _146437] : [-(set_union2(_146437, _146433) = set_union2(_146435, _146431)), _146437 = _146435, _146433 = _146431], (164 ^ _141339) ^ [_146992, _146994] : [in(_146994, _146992), in(_146992, _146994)], (170 ^ _141339) ^ [_147203, _147205] : [proper_subset(_147205, _147203), proper_subset(_147203, _147205)], (176 ^ _141339) ^ [_147399, _147401] : [-(unordered_pair(_147401, _147399) = unordered_pair(_147399, _147401))], (178 ^ _141339) ^ [_147499, _147501] : [-(set_union2(_147501, _147499) = set_union2(_147499, _147501))], (180 ^ _141339) ^ [_147599, _147601] : [-(set_intersection2(_147601, _147599) = set_intersection2(_147599, _147601))], (182 ^ _141339) ^ [_147743, _147745] : [_147745 = _147743, 185 ^ _141339 : [(186 ^ _141339) ^ [] : [-(subset(_147745, _147743))], (188 ^ _141339) ^ [] : [-(subset(_147743, _147745))]]], (190 ^ _141339) ^ [_147980, _147982] : [-(_147982 = _147980), subset(_147982, _147980), subset(_147980, _147982)], (216 ^ _141339) ^ [_148831, _148833] : [-(_148831 = singleton(_148833)), 220 ^ _141339 : [(221 ^ _141339) ^ [] : [-(in(217 ^ [_148831, _148833], _148831))], (223 ^ _141339) ^ [] : [217 ^ [_148831, _148833] = _148833]], 224 ^ _141339 : [(225 ^ _141339) ^ [] : [-(217 ^ [_148831, _148833] = _148833)], (227 ^ _141339) ^ [] : [in(217 ^ [_148831, _148833], _148831)]]], (200 ^ _141339) ^ [_148310, _148312] : [_148310 = singleton(_148312), 203 ^ _141339 : [(204 ^ _141339) ^ [_148480] : [in(_148480, _148310), -(_148480 = _148312)], (210 ^ _141339) ^ [_148652] : [_148652 = _148312, -(in(_148652, _148310))]]], (231 ^ _141339) ^ [_149382] : [_149382 = empty_set, 234 ^ _141339 : [(235 ^ _141339) ^ [_149495] : [in(_149495, _149382)]]], (237 ^ _141339) ^ [_149561] : [-(in(238 ^ [_149561], _149561)), -(_149561 = empty_set)], (260 ^ _141339) ^ [_150373, _150375] : [-(_150373 = powerset(_150375)), 264 ^ _141339 : [(265 ^ _141339) ^ [] : [-(in(261 ^ [_150373, _150375], _150373))], (267 ^ _141339) ^ [] : [subset(261 ^ [_150373, _150375], _150375)]], 268 ^ _141339 : [(269 ^ _141339) ^ [] : [-(subset(261 ^ [_150373, _150375], _150375))], (271 ^ _141339) ^ [] : [in(261 ^ [_150373, _150375], _150373)]]], (244 ^ _141339) ^ [_149852, _149854] : [_149852 = powerset(_149854), 247 ^ _141339 : [(248 ^ _141339) ^ [_150022] : [in(_150022, _149852), -(subset(_150022, _149854))], (254 ^ _141339) ^ [_150194] : [subset(_150194, _149854), -(in(_150194, _149852))]]], (297 ^ _141339) ^ [_151677, _151679, _151681] : [-(_151677 = unordered_pair(_151681, _151679)), 301 ^ _141339 : [(302 ^ _141339) ^ [] : [-(in(298 ^ [_151677, _151679, _151681], _151677))], (304 ^ _141339) ^ [] : [298 ^ [_151677, _151679, _151681] = _151681], (306 ^ _141339) ^ [] : [298 ^ [_151677, _151679, _151681] = _151679]], 307 ^ _141339 : [(314 ^ _141339) ^ [] : [in(298 ^ [_151677, _151679, _151681], _151677)], (308 ^ _141339) ^ [] : [-(298 ^ [_151677, _151679, _151681] = _151681), -(298 ^ [_151677, _151679, _151681] = _151679)]]], (275 ^ _141339) ^ [_150952, _150954, _150956] : [_150952 = unordered_pair(_150956, _150954), 278 ^ _141339 : [(289 ^ _141339) ^ [_151412] : [290 ^ _141339 : [(291 ^ _141339) ^ [] : [_151412 = _150956], (293 ^ _141339) ^ [] : [_151412 = _150954]], -(in(_151412, _150952))], (279 ^ _141339) ^ [_151134] : [in(_151134, _150952), -(_151134 = _150956), -(_151134 = _150954)]]], (340 ^ _141339) ^ [_153196, _153198, _153200] : [-(_153196 = set_union2(_153200, _153198)), 344 ^ _141339 : [(345 ^ _141339) ^ [] : [-(in(341 ^ [_153196, _153198, _153200], _153196))], (347 ^ _141339) ^ [] : [in(341 ^ [_153196, _153198, _153200], _153200)], (349 ^ _141339) ^ [] : [in(341 ^ [_153196, _153198, _153200], _153198)]], 350 ^ _141339 : [(357 ^ _141339) ^ [] : [in(341 ^ [_153196, _153198, _153200], _153196)], (351 ^ _141339) ^ [] : [-(in(341 ^ [_153196, _153198, _153200], _153200)), -(in(341 ^ [_153196, _153198, _153200], _153198))]]], (318 ^ _141339) ^ [_152471, _152473, _152475] : [_152471 = set_union2(_152475, _152473), 321 ^ _141339 : [(332 ^ _141339) ^ [_152931] : [333 ^ _141339 : [(334 ^ _141339) ^ [] : [in(_152931, _152475)], (336 ^ _141339) ^ [] : [in(_152931, _152473)]], -(in(_152931, _152471))], (322 ^ _141339) ^ [_152653] : [in(_152653, _152471), -(in(_152653, _152475)), -(in(_152653, _152473))]]], (391 ^ _141339) ^ [_155247, _155249, _155251] : [-(_155247 = cartesian_product2(_155251, _155249)), 409 ^ _141339 : [(410 ^ _141339) ^ [] : [-(in(407 ^ [_155247, _155249, _155251], _155251))], (412 ^ _141339) ^ [] : [-(in(408 ^ [_155247, _155249, _155251], _155249))], (414 ^ _141339) ^ [] : [-(392 ^ [_155247, _155249, _155251] = ordered_pair(407 ^ [_155247, _155249, _155251], 408 ^ [_155247, _155249, _155251]))], (416 ^ _141339) ^ [] : [in(392 ^ [_155247, _155249, _155251], _155247)]], 395 ^ _141339 : [(396 ^ _141339) ^ [] : [-(in(392 ^ [_155247, _155249, _155251], _155247))], (398 ^ _141339) ^ [_155585, _155587] : [in(_155587, _155251), in(_155585, _155249), 392 ^ [_155247, _155249, _155251] = ordered_pair(_155587, _155585)]]], (361 ^ _141339) ^ [_153990, _153992, _153994] : [_153990 = cartesian_product2(_153994, _153992), 364 ^ _141339 : [(365 ^ _141339) ^ [_154191] : [in(_154191, _153990), 370 ^ _141339 : [(371 ^ _141339) ^ [] : [-(in(368 ^ [_153990, _153992, _153994, _154191], _153994))], (373 ^ _141339) ^ [] : [-(in(369 ^ [_153990, _153992, _153994, _154191], _153992))], (375 ^ _141339) ^ [] : [-(_154191 = ordered_pair(368 ^ [_153990, _153992, _153994, _154191], 369 ^ [_153990, _153992, _153994, _154191]))]]], (377 ^ _141339) ^ [_154751] : [-(in(_154751, _153990)), 378 ^ _141339 : [(379 ^ _141339) ^ [_154881, _154883] : [in(_154883, _153994), in(_154881, _153992), _154751 = ordered_pair(_154883, _154881)]]]]], (430 ^ _141339) ^ [_156838, _156840] : [432 ^ _141339 : [(433 ^ _141339) ^ [] : [-(in(431 ^ [_156838, _156840], _156840))], (435 ^ _141339) ^ [] : [in(431 ^ [_156838, _156840], _156838)]], -(subset(_156840, _156838))], (420 ^ _141339) ^ [_156524, _156526] : [subset(_156526, _156524), 423 ^ _141339 : [(424 ^ _141339) ^ [_156661] : [in(_156661, _156526), -(in(_156661, _156524))]]], (461 ^ _141339) ^ [_157963, _157965, _157967] : [-(_157963 = set_intersection2(_157967, _157965)), 473 ^ _141339 : [(474 ^ _141339) ^ [] : [-(in(462 ^ [_157963, _157965, _157967], _157967))], (476 ^ _141339) ^ [] : [-(in(462 ^ [_157963, _157965, _157967], _157965))], (478 ^ _141339) ^ [] : [in(462 ^ [_157963, _157965, _157967], _157963)]], 465 ^ _141339 : [(466 ^ _141339) ^ [] : [-(in(462 ^ [_157963, _157965, _157967], _157963))], (468 ^ _141339) ^ [] : [in(462 ^ [_157963, _157965, _157967], _157967), in(462 ^ [_157963, _157965, _157967], _157965)]]], (439 ^ _141339) ^ [_157238, _157240, _157242] : [_157238 = set_intersection2(_157242, _157240), 442 ^ _141339 : [(443 ^ _141339) ^ [_157420] : [in(_157420, _157238), 446 ^ _141339 : [(447 ^ _141339) ^ [] : [-(in(_157420, _157242))], (449 ^ _141339) ^ [] : [-(in(_157420, _157240))]]], (451 ^ _141339) ^ [_157679] : [-(in(_157679, _157238)), in(_157679, _157242), in(_157679, _157240)]]], (505 ^ _141339) ^ [_159590, _159592] : [-(_159590 = union(_159592)), 518 ^ _141339 : [(519 ^ _141339) ^ [] : [-(in(506 ^ [_159590, _159592], 517 ^ [_159590, _159592]))], (521 ^ _141339) ^ [] : [-(in(517 ^ [_159590, _159592], _159592))], (523 ^ _141339) ^ [] : [in(506 ^ [_159590, _159592], _159590)]], 509 ^ _141339 : [(510 ^ _141339) ^ [] : [-(in(506 ^ [_159590, _159592], _159590))], (512 ^ _141339) ^ [_159873] : [in(506 ^ [_159590, _159592], _159873), in(_159873, _159592)]]], (482 ^ _141339) ^ [_158745, _158747] : [_158745 = union(_158747), 485 ^ _141339 : [(486 ^ _141339) ^ [_158926] : [in(_158926, _158745), 490 ^ _141339 : [(491 ^ _141339) ^ [] : [-(in(_158926, 489 ^ [_158745, _158747, _158926]))], (493 ^ _141339) ^ [] : [-(in(489 ^ [_158745, _158747, _158926], _158747))]]], (495 ^ _141339) ^ [_159253] : [-(in(_159253, _158745)), 496 ^ _141339 : [(497 ^ _141339) ^ [_159351] : [in(_159253, _159351), in(_159351, _158747)]]]]], (549 ^ _141339) ^ [_161211, _161213, _161215] : [-(_161211 = set_difference(_161215, _161213)), 561 ^ _141339 : [(562 ^ _141339) ^ [] : [-(in(550 ^ [_161211, _161213, _161215], _161215))], (564 ^ _141339) ^ [] : [in(550 ^ [_161211, _161213, _161215], _161213)], (566 ^ _141339) ^ [] : [in(550 ^ [_161211, _161213, _161215], _161211)]], 553 ^ _141339 : [(554 ^ _141339) ^ [] : [-(in(550 ^ [_161211, _161213, _161215], _161211))], (556 ^ _141339) ^ [] : [in(550 ^ [_161211, _161213, _161215], _161215), -(in(550 ^ [_161211, _161213, _161215], _161213))]]], (527 ^ _141339) ^ [_160480, _160482, _160484] : [_160480 = set_difference(_160484, _160482), 530 ^ _141339 : [(531 ^ _141339) ^ [_160664] : [in(_160664, _160480), 534 ^ _141339 : [(535 ^ _141339) ^ [] : [-(in(_160664, _160484))], (537 ^ _141339) ^ [] : [in(_160664, _160482)]]], (539 ^ _141339) ^ [_160924] : [-(in(_160924, _160480)), in(_160924, _160484), -(in(_160924, _160482))]]], (570 ^ _141339) ^ [_161953, _161955] : [-(ordered_pair(_161955, _161953) = unordered_pair(unordered_pair(_161955, _161953), singleton(_161955)))], (572 ^ _141339) ^ [_162102, _162104] : [disjoint(_162104, _162102), -(set_intersection2(_162104, _162102) = empty_set)], (578 ^ _141339) ^ [_162270, _162272] : [set_intersection2(_162272, _162270) = empty_set, -(disjoint(_162272, _162270))], (584 ^ _141339) ^ [_162517, _162519] : [proper_subset(_162519, _162517), 587 ^ _141339 : [(588 ^ _141339) ^ [] : [-(subset(_162519, _162517))], (590 ^ _141339) ^ [] : [_162519 = _162517]]], (592 ^ _141339) ^ [_162755, _162757] : [-(proper_subset(_162757, _162755)), subset(_162757, _162755), -(_162757 = _162755)], (602 ^ _141339) ^ [] : [true___, -(true___)], (608 ^ _141339) ^ [] : [true___, -(true___)], (614 ^ _141339) ^ [] : [true___, -(true___)], (620 ^ _141339) ^ [] : [true___, -(true___)], (626 ^ _141339) ^ [] : [true___, -(true___)], (632 ^ _141339) ^ [] : [true___, -(true___)], (638 ^ _141339) ^ [] : [true___, -(true___)], (644 ^ _141339) ^ [] : [true___, -(true___)], (650 ^ _141339) ^ [] : [true___, -(true___)], (656 ^ _141339) ^ [] : [true___, -(true___)], (662 ^ _141339) ^ [] : [-(empty(empty_set))], (664 ^ _141339) ^ [_164286, _164288] : [empty(ordered_pair(_164288, _164286))], (666 ^ _141339) ^ [_164397, _164399] : [-(empty(_164399)), empty(set_union2(_164399, _164397))], (672 ^ _141339) ^ [_164613, _164615] : [-(empty(_164615)), empty(set_union2(_164613, _164615))], (678 ^ _141339) ^ [_164814, _164816] : [-(set_union2(_164816, _164816) = _164816)], (680 ^ _141339) ^ [_164911, _164913] : [-(set_intersection2(_164913, _164913) = _164913)], (682 ^ _141339) ^ [_165007, _165009] : [proper_subset(_165009, _165009)], (684 ^ _141339) ^ [_165086] : [singleton(_165086) = empty_set], (686 ^ _141339) ^ [_165195, _165197] : [in(_165197, _165195), -(set_union2(singleton(_165197), _165195) = _165195)], (692 ^ _141339) ^ [_165415, _165417] : [disjoint(singleton(_165417), _165415), in(_165417, _165415)], (698 ^ _141339) ^ [_165628, _165630] : [-(in(_165630, _165628)), -(disjoint(singleton(_165630), _165628))], (704 ^ _141339) ^ [_165874, _165876] : [subset(singleton(_165876), _165874), -(in(_165876, _165874))], (710 ^ _141339) ^ [_166040, _166042] : [in(_166042, _166040), -(subset(singleton(_166042), _166040))], (716 ^ _141339) ^ [_166285, _166287] : [set_difference(_166287, _166285) = empty_set, -(subset(_166287, _166285))], (722 ^ _141339) ^ [_166453, _166455] : [subset(_166455, _166453), -(set_difference(_166455, _166453) = empty_set)], (728 ^ _141339) ^ [_166685, _166687, _166689] : [subset(_166689, _166687), -(in(_166685, _166689)), -(subset(_166689, set_difference(_166687, singleton(_166685))))], (748 ^ _141339) ^ [_167294, _167296] : [749 ^ _141339 : [(750 ^ _141339) ^ [] : [_167296 = empty_set], (752 ^ _141339) ^ [] : [_167296 = singleton(_167294)]], -(subset(_167296, singleton(_167294)))], (738 ^ _141339) ^ [_167034, _167036] : [subset(_167036, singleton(_167034)), -(_167036 = empty_set), -(_167036 = singleton(_167034))], (756 ^ _141339) ^ [_167588, _167590] : [in(_167590, _167588), -(subset(_167590, union(_167588)))], (762 ^ _141339) ^ [_167859, _167861, _167863, _167865] : [in(ordered_pair(_167865, _167863), cartesian_product2(_167861, _167859)), 765 ^ _141339 : [(766 ^ _141339) ^ [] : [-(in(_167865, _167861))], (768 ^ _141339) ^ [] : [-(in(_167863, _167859))]]], (770 ^ _141339) ^ [_168124, _168126, _168128, _168130] : [-(in(ordered_pair(_168130, _168128), cartesian_product2(_168126, _168124))), in(_168130, _168126), in(_168128, _168124)], (781 ^ _141339) ^ [] : [-(empty(779 ^ []))], (784 ^ _141339) ^ [] : [empty(782 ^ [])], (786 ^ _141339) ^ [_168621, _168623] : [-(subset(_168623, _168623))], (788 ^ _141339) ^ [_168730, _168732] : [disjoint(_168732, _168730), -(disjoint(_168730, _168732))], (794 ^ _141339) ^ [_168968, _168970, _168972, _168974] : [unordered_pair(_168974, _168972) = unordered_pair(_168970, _168968), -(_168974 = _168970), -(_168974 = _168968)], (804 ^ _141339) ^ [_169304, _169306] : [subset(_169306, _169304), -(set_union2(_169306, _169304) = _169304)], (810 ^ _141339) ^ [_169505, _169507] : [-(subset(set_intersection2(_169507, _169505), _169507))], (812 ^ _141339) ^ [_169631, _169633, _169635] : [-(subset(_169635, set_intersection2(_169633, _169631))), subset(_169635, _169633), subset(_169635, _169631)], (822 ^ _141339) ^ [_169917] : [-(set_union2(_169917, empty_set) = _169917)], (824 ^ _141339) ^ [_170041, _170043, _170045] : [-(subset(_170045, _170041)), subset(_170045, _170043), subset(_170043, _170041)], (834 ^ _141339) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (836 ^ _141339) ^ [_170417, _170419, _170421] : [subset(_170421, _170419), -(subset(set_intersection2(_170421, _170417), set_intersection2(_170419, _170417)))], (842 ^ _141339) ^ [_170645, _170647] : [subset(_170647, _170645), -(set_intersection2(_170647, _170645) = _170647)], (848 ^ _141339) ^ [_170832] : [-(set_intersection2(_170832, empty_set) = empty_set)], (850 ^ _141339) ^ [_170942, _170944] : [-(_170944 = _170942), 854 ^ _141339 : [(855 ^ _141339) ^ [] : [-(in(851 ^ [_170942, _170944], _170944))], (857 ^ _141339) ^ [] : [in(851 ^ [_170942, _170944], _170942)]], 858 ^ _141339 : [(859 ^ _141339) ^ [] : [-(in(851 ^ [_170942, _170944], _170942))], (861 ^ _141339) ^ [] : [in(851 ^ [_170942, _170944], _170944)]]], (865 ^ _141339) ^ [_171443] : [-(subset(empty_set, _171443))], (867 ^ _141339) ^ [_171564, _171566, _171568] : [subset(_171568, _171566), -(subset(set_difference(_171568, _171564), set_difference(_171566, _171564)))], (873 ^ _141339) ^ [_171820, _171822, _171824, _171826] : [ordered_pair(_171826, _171824) = ordered_pair(_171822, _171820), 876 ^ _141339 : [(877 ^ _141339) ^ [] : [-(_171826 = _171822)], (879 ^ _141339) ^ [] : [-(_171824 = _171820)]]], (881 ^ _141339) ^ [_172118, _172120] : [-(subset(set_difference(_172120, _172118), _172120))], (883 ^ _141339) ^ [_172259, _172261] : [set_difference(_172261, _172259) = empty_set, -(subset(_172261, _172259))], (889 ^ _141339) ^ [_172427, _172429] : [subset(_172429, _172427), -(set_difference(_172429, _172427) = empty_set)], (895 ^ _141339) ^ [_172674, _172676] : [subset(singleton(_172676), _172674), -(in(_172676, _172674))], (901 ^ _141339) ^ [_172840, _172842] : [in(_172842, _172840), -(subset(singleton(_172842), _172840))], (907 ^ _141339) ^ [_173099, _173101, _173103] : [subset(unordered_pair(_173103, _173101), _173099), 910 ^ _141339 : [(911 ^ _141339) ^ [] : [-(in(_173103, _173099))], (913 ^ _141339) ^ [] : [-(in(_173101, _173099))]]], (915 ^ _141339) ^ [_173350, _173352, _173354] : [-(subset(unordered_pair(_173354, _173352), _173350)), in(_173354, _173350), in(_173352, _173350)], (925 ^ _141339) ^ [_173652, _173654] : [-(set_union2(_173654, set_difference(_173652, _173654)) = set_union2(_173654, _173652))], (937 ^ _141339) ^ [_174059, _174061] : [938 ^ _141339 : [(939 ^ _141339) ^ [] : [_174061 = empty_set], (941 ^ _141339) ^ [] : [_174061 = singleton(_174059)]], -(subset(_174061, singleton(_174059)))], (927 ^ _141339) ^ [_173799, _173801] : [subset(_173801, singleton(_173799)), -(_173801 = empty_set), -(_173801 = singleton(_173799))], (945 ^ _141339) ^ [_174324] : [-(set_difference(_174324, empty_set) = _174324)], (947 ^ _141339) ^ [_174454, _174456] : [-(disjoint(_174456, _174454)), 951 ^ _141339 : [(952 ^ _141339) ^ [] : [-(in(950 ^ [_174454, _174456], _174456))], (954 ^ _141339) ^ [] : [-(in(950 ^ [_174454, _174456], _174454))]]], (956 ^ _141339) ^ [_174768, _174770] : [disjoint(_174770, _174768), 957 ^ _141339 : [(958 ^ _141339) ^ [_174860] : [in(_174860, _174770), in(_174860, _174768)]]], (966 ^ _141339) ^ [_175117] : [subset(_175117, empty_set), -(_175117 = empty_set)], (972 ^ _141339) ^ [_175306, _175308] : [-(set_difference(set_union2(_175308, _175306), _175306) = set_difference(_175308, _175306))], (974 ^ _141339) ^ [_175424, _175426] : [subset(_175426, _175424), -(_175424 = set_union2(_175426, set_difference(_175424, _175426)))], (980 ^ _141339) ^ [_175631, _175633] : [-(set_difference(_175633, set_difference(_175633, _175631)) = set_intersection2(_175633, _175631))], (982 ^ _141339) ^ [_175720] : [-(set_difference(empty_set, _175720) = empty_set)], (984 ^ _141339) ^ [_175850, _175852] : [-(disjoint(_175852, _175850)), -(in(987 ^ [_175850, _175852], set_intersection2(_175852, _175850)))], (991 ^ _141339) ^ [_176085, _176087] : [992 ^ _141339 : [(993 ^ _141339) ^ [_176158] : [in(_176158, set_intersection2(_176087, _176085))]], disjoint(_176087, _176085)], (997 ^ _141339) ^ [_176324, _176326] : [subset(_176326, _176324), proper_subset(_176324, _176326)], (1003 ^ _141339) ^ [_176547, _176549, _176551] : [-(disjoint(_176551, _176547)), subset(_176551, _176549), disjoint(_176549, _176547)], (1013 ^ _141339) ^ [_176827] : [-(unordered_pair(_176827, _176827) = singleton(_176827))], (1015 ^ _141339) ^ [_176925] : [empty(_176925), -(_176925 = empty_set)], (1021 ^ _141339) ^ [_177127, _177129] : [subset(singleton(_177129), singleton(_177127)), -(_177129 = _177127)], (1027 ^ _141339) ^ [_177345, _177347] : [in(_177347, _177345), empty(_177345)], (1033 ^ _141339) ^ [_177537, _177539] : [-(subset(_177539, set_union2(_177539, _177537)))], (1035 ^ _141339) ^ [_177678, _177680] : [disjoint(_177680, _177678), -(set_difference(_177680, _177678) = _177680)], (1041 ^ _141339) ^ [_177846, _177848] : [set_difference(_177848, _177846) = _177848, -(disjoint(_177848, _177846))], (1047 ^ _141339) ^ [_178064, _178066] : [empty(_178066), -(_178066 = _178064), empty(_178064)], (1057 ^ _141339) ^ [_178375, _178377, _178379] : [-(subset(set_union2(_178379, _178375), _178377)), subset(_178379, _178377), subset(_178375, _178377)], (1067 ^ _141339) ^ [_178704, _178706, _178708] : [singleton(_178708) = unordered_pair(_178706, _178704), -(_178708 = _178706)], (1073 ^ _141339) ^ [_178924, _178926, _178928] : [singleton(_178928) = unordered_pair(_178926, _178924), -(_178926 = _178924)]], input).
% 0.37/1.37  ncf('1',plain,[set_union2(singleton(1078 ^ []), 1079 ^ []) = 1079 ^ []],start(1083 ^ 0)).
% 0.37/1.37  ncf('1.1',plain,[-(set_union2(singleton(1078 ^ []), 1079 ^ []) = 1079 ^ []), in(1078 ^ [], 1079 ^ [])],extension(686 ^ 1,bind([[_165195, _165197], [1079 ^ [], 1078 ^ []]]))).
% 0.37/1.37  ncf('1.1.1',plain,[-(in(1078 ^ [], 1079 ^ []))],extension(1081 ^ 2)).
% 0.37/1.37  %-----------------------------------------------------
% 0.37/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------