%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU147+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 12:02:22 EDT 2023

% Result   : Theorem 189.90s 182.81s
% Output   : Proof 189.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU147+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 13:28:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 189.90/182.81  
% 189.90/182.81  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 189.90/182.81  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 189.90/182.81  %-----------------------------------------------------
% 189.90/182.81  ncf(matrix, plain, [(799 ^ _144601) ^ [] : [powerset(empty_set) = singleton(empty_set)], !, (546 ^ _116879) ^ [_135383, _135385] : [set_difference(_135385, _135383) = empty_set, -(subset(_135385, _135383))], (667 ^ _116879) ^ [_139589, _139591] : [-(subset(set_difference(_139591, _139589), _139591))], (587 ^ _116879) ^ [] : [-(empty(585 ^ []))], (600 ^ _116879) ^ [_137169, _137171] : [subset(_137171, _137169), -(set_union2(_137171, _137169) = _137169)], (720 ^ _116879) ^ [_141586] : [-(set_difference(empty_set, _141586) = empty_set)], (397 ^ _116879) ^ [_130785, _130787, _130789] : [_130785 = set_difference(_130789, _130787), 400 ^ _116879 : [(401 ^ _116879) ^ [_130969] : [in(_130969, _130785), 404 ^ _116879 : [(405 ^ _116879) ^ [] : [-(in(_130969, _130789))], (407 ^ _116879) ^ [] : [in(_130969, _130787)]]], (409 ^ _116879) ^ [_131229] : [-(in(_131229, _130785)), in(_131229, _130789), -(in(_131229, _130787))]]], (205 ^ _116879) ^ [_123956] : [_123956 = empty_set, 208 ^ _116879 : [(209 ^ _116879) ^ [_124069] : [in(_124069, _123956)]]], (126 ^ _116879) ^ [_121128, _121130] : [_121130 = _121128, -(powerset(_121130) = powerset(_121128))], (62 ^ _116879) ^ [_118959, _118961] : [-(empty(_118959)), _118961 = _118959, empty(_118961)], (528 ^ _116879) ^ [_134659, _134661] : [-(set_intersection2(_134661, _134661) = _134661)], (271 ^ _116879) ^ [_126251, _126253, _126255] : [-(_126251 = unordered_pair(_126255, _126253)), 275 ^ _116879 : [(280 ^ _116879) ^ [] : [272 ^ [_126251, _126253, _126255] = _126253], (278 ^ _116879) ^ [] : [272 ^ [_126251, _126253, _126255] = _126255], (276 ^ _116879) ^ [] : [-(in(272 ^ [_126251, _126253, _126255], _126251))]], 281 ^ _116879 : [(288 ^ _116879) ^ [] : [in(272 ^ [_126251, _126253, _126255], _126251)], (282 ^ _116879) ^ [] : [-(272 ^ [_126251, _126253, _126255] = _126255), -(272 ^ [_126251, _126253, _126255] = _126253)]]], (712 ^ _116879) ^ [_141290, _141292] : [subset(_141292, _141290), -(_141290 = set_union2(_141292, set_difference(_141290, _141292)))], (773 ^ _116879) ^ [_143494, _143496] : [set_difference(_143496, _143494) = _143496, -(disjoint(_143496, _143494))], (132 ^ _116879) ^ [_121326, _121328] : [_121328 = _121326, -(singleton(_121328) = singleton(_121326))], (292 ^ _116879) ^ [_127045, _127047, _127049] : [_127045 = set_union2(_127049, _127047), 295 ^ _116879 : [(306 ^ _116879) ^ [_127505] : [307 ^ _116879 : [(308 ^ _116879) ^ [] : [in(_127505, _127049)], (310 ^ _116879) ^ [] : [in(_127505, _127047)]], -(in(_127505, _127045))], (296 ^ _116879) ^ [_127227] : [in(_127227, _127045), -(in(_127227, _127049)), -(in(_127227, _127047))]]], (156 ^ _116879) ^ [_122317, _122319] : [_122319 = _122317, 159 ^ _116879 : [(160 ^ _116879) ^ [] : [-(subset(_122319, _122317))], (162 ^ _116879) ^ [] : [-(subset(_122317, _122319))]]], (452 ^ _116879) ^ [_132717, _132719] : [proper_subset(_132719, _132717), 455 ^ _116879 : [(456 ^ _116879) ^ [] : [-(subset(_132719, _132717))], (458 ^ _116879) ^ [] : [_132719 = _132717]]], (506 ^ _116879) ^ [] : [true___, -(true___)], (669 ^ _116879) ^ [_139730, _139732] : [set_difference(_139732, _139730) = empty_set, -(subset(_139732, _139730))], (683 ^ _116879) ^ [_140190] : [-(set_difference(_140190, empty_set) = _140190)], (608 ^ _116879) ^ [_137496, _137498, _137500] : [-(subset(_137500, set_intersection2(_137498, _137496))), subset(_137500, _137498), subset(_137500, _137496)], (4 ^ _116879) ^ [_117110, _117112] : [_117112 = _117110, -(_117110 = _117112)], (779 ^ _116879) ^ [_143712, _143714] : [empty(_143714), -(_143714 = _143712), empty(_143712)], (314 ^ _116879) ^ [_127770, _127772, _127774] : [-(_127770 = set_union2(_127774, _127772)), 318 ^ _116879 : [(323 ^ _116879) ^ [] : [in(315 ^ [_127770, _127772, _127774], _127772)], (321 ^ _116879) ^ [] : [in(315 ^ [_127770, _127772, _127774], _127774)], (319 ^ _116879) ^ [] : [-(in(315 ^ [_127770, _127772, _127774], _127770))]], 324 ^ _116879 : [(331 ^ _116879) ^ [] : [in(315 ^ [_127770, _127772, _127774], _127770)], (325 ^ _116879) ^ [] : [-(in(315 ^ [_127770, _127772, _127774], _127774)), -(in(315 ^ [_127770, _127772, _127774], _127772))]]], (446 ^ _116879) ^ [_132470, _132472] : [set_intersection2(_132472, _132470) = empty_set, -(disjoint(_132472, _132470))], (661 ^ _116879) ^ [_139376, _139378, _139380] : [subset(_139380, _139378), -(subset(set_difference(_139380, _139376), set_difference(_139378, _139376)))], (675 ^ _116879) ^ [_139898, _139900] : [subset(_139900, _139898), -(set_difference(_139900, _139898) = empty_set)], (722 ^ _116879) ^ [_141716, _141718] : [-(disjoint(_141718, _141716)), -(in(725 ^ [_141716, _141718], set_intersection2(_141718, _141716)))], (144 ^ _116879) ^ [_121777, _121779] : [proper_subset(_121779, _121777), proper_subset(_121777, _121779)], (710 ^ _116879) ^ [_141172, _141174] : [-(set_difference(set_union2(_141174, _141172), _141172) = set_difference(_141174, _141172))], (568 ^ _116879) ^ [_136132, _136134] : [subset(_136134, singleton(_136132)), -(_136134 = empty_set), -(_136134 = singleton(_136132))], (532 ^ _116879) ^ [_134834] : [singleton(_134834) = empty_set], (753 ^ _116879) ^ [_142791] : [empty(_142791), -(_142791 = empty_set)], (72 ^ _116879) ^ [_119262, _119264, _119266, _119268] : [-(subset(_119266, _119262)), subset(_119268, _119264), _119268 = _119266, _119264 = _119262], (376 ^ _116879) ^ [_129989, _129991, _129993] : [-(_129989 = set_intersection2(_129993, _129991)), 388 ^ _116879 : [(393 ^ _116879) ^ [] : [in(377 ^ [_129989, _129991, _129993], _129989)], (391 ^ _116879) ^ [] : [-(in(377 ^ [_129989, _129991, _129993], _129991))], (389 ^ _116879) ^ [] : [-(in(377 ^ [_129989, _129991, _129993], _129993))]], 380 ^ _116879 : [(381 ^ _116879) ^ [] : [-(in(377 ^ [_129989, _129991, _129993], _129989))], (383 ^ _116879) ^ [] : [in(377 ^ [_129989, _129991, _129993], _129993), in(377 ^ [_129989, _129991, _129993], _129991)]]], (540 ^ _116879) ^ [_135138, _135140] : [in(_135140, _135138), -(subset(singleton(_135140), _135138))], (354 ^ _116879) ^ [_129264, _129266, _129268] : [_129264 = set_intersection2(_129268, _129266), 357 ^ _116879 : [(358 ^ _116879) ^ [_129446] : [in(_129446, _129264), 361 ^ _116879 : [(362 ^ _116879) ^ [] : [-(in(_129446, _129268))], (364 ^ _116879) ^ [] : [-(in(_129446, _129266))]]], (366 ^ _116879) ^ [_129705] : [-(in(_129705, _129264)), in(_129705, _129268), in(_129705, _129266)]]], (659 ^ _116879) ^ [_139255] : [-(subset(empty_set, _139255))], (2 ^ _116879) ^ [_117003] : [-(_117003 = _117003)], (590 ^ _116879) ^ [] : [empty(588 ^ [])], (765 ^ _116879) ^ [_143185, _143187] : [-(subset(_143187, set_union2(_143187, _143185)))], (150 ^ _116879) ^ [_121973, _121975] : [-(unordered_pair(_121975, _121973) = unordered_pair(_121973, _121975))], (520 ^ _116879) ^ [_134361, _134363] : [-(empty(_134363)), empty(set_union2(_134361, _134363))], (718 ^ _116879) ^ [_141497, _141499] : [-(set_difference(_141499, set_difference(_141499, _141497)) = set_intersection2(_141499, _141497))], (767 ^ _116879) ^ [_143326, _143328] : [disjoint(_143328, _143326), -(set_difference(_143328, _143326) = _143328)], (460 ^ _116879) ^ [_132955, _132957] : [-(proper_subset(_132957, _132955)), subset(_132957, _132955), -(_132957 = _132955)], (594 ^ _116879) ^ [_136959, _136961] : [disjoint(_136961, _136959), -(disjoint(_136959, _136961))], (34 ^ _116879) ^ [_118099, _118101, _118103, _118105] : [-(in(_118103, _118099)), in(_118105, _118101), _118105 = _118103, _118101 = _118099], (494 ^ _116879) ^ [] : [true___, -(true___)], (630 ^ _116879) ^ [_138229, _138231, _138233] : [subset(_138233, _138231), -(subset(set_intersection2(_138233, _138229), set_intersection2(_138231, _138229)))], (152 ^ _116879) ^ [_122073, _122075] : [-(set_union2(_122075, _122073) = set_union2(_122073, _122075))], (234 ^ _116879) ^ [_124947, _124949] : [-(_124947 = powerset(_124949)), 238 ^ _116879 : [(239 ^ _116879) ^ [] : [-(in(235 ^ [_124947, _124949], _124947))], (241 ^ _116879) ^ [] : [subset(235 ^ [_124947, _124949], _124949)]], 242 ^ _116879 : [(243 ^ _116879) ^ [] : [-(subset(235 ^ [_124947, _124949], _124949))], (245 ^ _116879) ^ [] : [in(235 ^ [_124947, _124949], _124947)]]], (578 ^ _116879) ^ [_136392, _136394] : [579 ^ _116879 : [(580 ^ _116879) ^ [] : [_136394 = empty_set], (582 ^ _116879) ^ [] : [_136394 = singleton(_136392)]], -(subset(_136394, singleton(_136392)))], (642 ^ _116879) ^ [_138644] : [-(set_intersection2(_138644, empty_set) = empty_set)], (335 ^ _116879) ^ [_128550, _128552] : [subset(_128552, _128550), 338 ^ _116879 : [(339 ^ _116879) ^ [_128687] : [in(_128687, _128552), -(in(_128687, _128550))]]], (470 ^ _116879) ^ [] : [true___, -(true___)], (530 ^ _116879) ^ [_134755, _134757] : [proper_subset(_134757, _134757)], (174 ^ _116879) ^ [_122884, _122886] : [_122884 = singleton(_122886), 177 ^ _116879 : [(178 ^ _116879) ^ [_123054] : [in(_123054, _122884), -(_123054 = _122886)], (184 ^ _116879) ^ [_123226] : [_123226 = _122886, -(in(_123226, _122884))]]], (154 ^ _116879) ^ [_122173, _122175] : [-(set_intersection2(_122175, _122173) = set_intersection2(_122173, _122175))], (86 ^ _116879) ^ [_119720, _119722, _119724, _119726] : [-(set_intersection2(_119726, _119722) = set_intersection2(_119724, _119720)), _119726 = _119724, _119722 = _119720], (440 ^ _116879) ^ [_132302, _132304] : [disjoint(_132304, _132302), -(set_intersection2(_132304, _132302) = empty_set)], (735 ^ _116879) ^ [_142190, _142192] : [subset(_142192, _142190), proper_subset(_142190, _142192)], (106 ^ _116879) ^ [_120438, _120440, _120442, _120444] : [-(set_difference(_120444, _120440) = set_difference(_120442, _120438)), _120444 = _120442, _120440 = _120438], (500 ^ _116879) ^ [] : [true___, -(true___)], (218 ^ _116879) ^ [_124426, _124428] : [_124426 = powerset(_124428), 221 ^ _116879 : [(222 ^ _116879) ^ [_124596] : [in(_124596, _124426), -(subset(_124596, _124428))], (228 ^ _116879) ^ [_124768] : [subset(_124768, _124428), -(in(_124768, _124426))]]], (514 ^ _116879) ^ [_134145, _134147] : [-(empty(_134147)), empty(set_union2(_134147, _134145))], (618 ^ _116879) ^ [_137782] : [-(set_union2(_137782, empty_set) = _137782)], (419 ^ _116879) ^ [_131516, _131518, _131520] : [-(_131516 = set_difference(_131520, _131518)), 431 ^ _116879 : [(436 ^ _116879) ^ [] : [in(420 ^ [_131516, _131518, _131520], _131516)], (434 ^ _116879) ^ [] : [in(420 ^ [_131516, _131518, _131520], _131518)], (432 ^ _116879) ^ [] : [-(in(420 ^ [_131516, _131518, _131520], _131520))]], 423 ^ _116879 : [(424 ^ _116879) ^ [] : [-(in(420 ^ [_131516, _131518, _131520], _131516))], (426 ^ _116879) ^ [] : [in(420 ^ [_131516, _131518, _131520], _131520), -(in(420 ^ [_131516, _131518, _131520], _131518))]]], (620 ^ _116879) ^ [_137906, _137908, _137910] : [-(subset(_137910, _137906)), subset(_137910, _137908), subset(_137908, _137906)], (729 ^ _116879) ^ [_141951, _141953] : [730 ^ _116879 : [(731 ^ _116879) ^ [_142024] : [in(_142024, set_intersection2(_141953, _141951))]], disjoint(_141953, _141951)], (211 ^ _116879) ^ [_124135] : [-(in(212 ^ [_124135], _124135)), -(_124135 = empty_set)], (558 ^ _116879) ^ [_135783, _135785, _135787] : [subset(_135787, _135785), -(in(_135783, _135787)), -(subset(_135787, set_difference(_135785, singleton(_135783))))], (482 ^ _116879) ^ [] : [true___, -(true___)], (685 ^ _116879) ^ [_140320, _140322] : [-(disjoint(_140322, _140320)), 689 ^ _116879 : [(690 ^ _116879) ^ [] : [-(in(688 ^ [_140320, _140322], _140322))], (692 ^ _116879) ^ [] : [-(in(688 ^ [_140320, _140322], _140320))]]], (644 ^ _116879) ^ [_138754, _138756] : [-(_138756 = _138754), 648 ^ _116879 : [(649 ^ _116879) ^ [] : [-(in(645 ^ [_138754, _138756], _138756))], (651 ^ _116879) ^ [] : [in(645 ^ [_138754, _138756], _138754)]], 652 ^ _116879 : [(653 ^ _116879) ^ [] : [-(in(645 ^ [_138754, _138756], _138754))], (655 ^ _116879) ^ [] : [in(645 ^ [_138754, _138756], _138756)]]], (190 ^ _116879) ^ [_123405, _123407] : [-(_123405 = singleton(_123407)), 194 ^ _116879 : [(195 ^ _116879) ^ [] : [-(in(191 ^ [_123405, _123407], _123405))], (197 ^ _116879) ^ [] : [191 ^ [_123405, _123407] = _123407]], 198 ^ _116879 : [(199 ^ _116879) ^ [] : [-(191 ^ [_123405, _123407] = _123407)], (201 ^ _116879) ^ [] : [in(191 ^ [_123405, _123407], _123405)]]], (488 ^ _116879) ^ [] : [true___, -(true___)], (789 ^ _116879) ^ [_144003, _144005, _144007] : [-(subset(set_union2(_144007, _144003), _144005)), subset(_144007, _144005), subset(_144003, _144005)], (636 ^ _116879) ^ [_138457, _138459] : [subset(_138459, _138457), -(set_intersection2(_138459, _138457) = _138459)], (534 ^ _116879) ^ [_134972, _134974] : [subset(singleton(_134974), _134972), -(in(_134974, _134972))], (681 ^ _116879) ^ [_140101, _140103] : [-(set_union2(_140103, set_difference(_140101, _140103)) = set_union2(_140103, _140101))], (526 ^ _116879) ^ [_134562, _134564] : [-(set_union2(_134564, _134564) = _134564)], (164 ^ _116879) ^ [_122554, _122556] : [-(_122556 = _122554), subset(_122556, _122554), subset(_122554, _122556)], (116 ^ _116879) ^ [_120797, _120799, _120801, _120803] : [-(set_union2(_120803, _120799) = set_union2(_120801, _120797)), _120803 = _120801, _120799 = _120797], (592 ^ _116879) ^ [_136850, _136852] : [-(subset(_136852, _136852))], (606 ^ _116879) ^ [_137370, _137372] : [-(subset(set_intersection2(_137372, _137370), _137372))], (476 ^ _116879) ^ [] : [true___, -(true___)], (10 ^ _116879) ^ [_117314, _117316, _117318] : [-(_117318 = _117314), _117318 = _117316, _117316 = _117314], (138 ^ _116879) ^ [_121566, _121568] : [in(_121568, _121566), in(_121566, _121568)], (512 ^ _116879) ^ [] : [-(empty(empty_set))], (694 ^ _116879) ^ [_140634, _140636] : [disjoint(_140636, _140634), 695 ^ _116879 : [(696 ^ _116879) ^ [_140726] : [in(_140726, _140636), in(_140726, _140634)]]], (751 ^ _116879) ^ [_142693] : [-(unordered_pair(_142693, _142693) = singleton(_142693))], (345 ^ _116879) ^ [_128864, _128866] : [347 ^ _116879 : [(348 ^ _116879) ^ [] : [-(in(346 ^ [_128864, _128866], _128866))], (350 ^ _116879) ^ [] : [in(346 ^ [_128864, _128866], _128864)]], -(subset(_128866, _128864))], (704 ^ _116879) ^ [_140983] : [subset(_140983, empty_set), -(_140983 = empty_set)], (20 ^ _116879) ^ [_117655, _117657, _117659, _117661] : [-(proper_subset(_117659, _117655)), proper_subset(_117661, _117657), _117661 = _117659, _117657 = _117655], (249 ^ _116879) ^ [_125526, _125528, _125530] : [_125526 = unordered_pair(_125530, _125528), 252 ^ _116879 : [(263 ^ _116879) ^ [_125986] : [264 ^ _116879 : [(265 ^ _116879) ^ [] : [_125986 = _125530], (267 ^ _116879) ^ [] : [_125986 = _125528]], -(in(_125986, _125526))], (253 ^ _116879) ^ [_125708] : [in(_125708, _125526), -(_125708 = _125530), -(_125708 = _125528)]]], (741 ^ _116879) ^ [_142413, _142415, _142417] : [-(disjoint(_142417, _142413)), subset(_142417, _142415), disjoint(_142415, _142413)], (96 ^ _116879) ^ [_120079, _120081, _120083, _120085] : [-(unordered_pair(_120085, _120081) = unordered_pair(_120083, _120079)), _120085 = _120083, _120081 = _120079], (552 ^ _116879) ^ [_135551, _135553] : [subset(_135553, _135551), -(set_difference(_135553, _135551) = empty_set)], (48 ^ _116879) ^ [_118543, _118545, _118547, _118549] : [-(disjoint(_118547, _118543)), disjoint(_118549, _118545), _118549 = _118547, _118545 = _118543], (759 ^ _116879) ^ [_142993, _142995] : [in(_142995, _142993), empty(_142993)]], input).
% 189.90/182.81  ncf('1',plain,[powerset(empty_set) = singleton(empty_set)],start(799 ^ 0)).
% 189.90/182.81  ncf('1.1',plain,[-(powerset(empty_set) = singleton(empty_set)), 197 : 191 ^ [powerset(empty_set), empty_set] = empty_set, 199 : -(191 ^ [powerset(empty_set), empty_set] = empty_set)],extension(190 ^ 1,bind([[_123405, _123407], [powerset(empty_set), empty_set]]))).
% 189.90/182.81  ncf('1.1.1',plain,[-(191 ^ [powerset(empty_set), empty_set] = empty_set), empty_set = 191 ^ [powerset(empty_set), empty_set]],extension(4 ^ 4,bind([[_117110, _117112], [191 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 189.90/182.81  ncf('1.1.1.1',plain,[-(empty_set = 191 ^ [powerset(empty_set), empty_set]), subset(empty_set, 191 ^ [powerset(empty_set), empty_set]), subset(191 ^ [powerset(empty_set), empty_set], empty_set)],extension(164 ^ 5,bind([[_122554, _122556], [191 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 189.90/182.81  ncf('1.1.1.1.1',plain,[-(subset(empty_set, 191 ^ [powerset(empty_set), empty_set])), set_difference(empty_set, 191 ^ [powerset(empty_set), empty_set]) = empty_set],extension(546 ^ 6,bind([[_135383, _135385], [191 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 189.90/182.81  ncf('1.1.1.1.1.1',plain,[-(set_difference(empty_set, 191 ^ [powerset(empty_set), empty_set]) = empty_set)],extension(720 ^ 7,bind([[_141586], [191 ^ [powerset(empty_set), empty_set]]]))).
% 189.90/182.81  ncf('1.1.1.1.2',plain,[-(subset(191 ^ [powerset(empty_set), empty_set], empty_set)), 222 : in(191 ^ [powerset(empty_set), empty_set], powerset(empty_set)), 222 : powerset(empty_set) = powerset(empty_set)],extension(218 ^ 6,bind([[_124426, _124428, _124596], [powerset(empty_set), empty_set, 191 ^ [powerset(empty_set), empty_set]]]))).
% 189.90/182.81  ncf('1.1.1.1.2.1',plain,[-(in(191 ^ [powerset(empty_set), empty_set], powerset(empty_set)))],extension(195 ^ 9)).
% 189.90/182.81  ncf('1.1.1.1.2.2',plain,[-(powerset(empty_set) = powerset(empty_set))],extension(2 ^ 7,bind([[_117003], [powerset(empty_set)]]))).
% 189.90/182.81  ncf('1.1.2',plain,[191 ^ [powerset(empty_set), empty_set] = empty_set, -(powerset(191 ^ [powerset(empty_set), empty_set]) = powerset(empty_set))],extension(126 ^ 4,bind([[_121128, _121130], [empty_set, 191 ^ [powerset(empty_set), empty_set]]]))).
% 189.90/182.81  ncf('1.1.2.1',plain,[powerset(191 ^ [powerset(empty_set), empty_set]) = powerset(empty_set), -(in(191 ^ [powerset(empty_set), empty_set], powerset(empty_set))), in(set_difference(empty_set, _89671), powerset(191 ^ [powerset(empty_set), empty_set])), set_difference(empty_set, _89671) = 191 ^ [powerset(empty_set), empty_set]],extension(34 ^ 5,bind([[_118099, _118101, _118103, _118105], [powerset(empty_set), powerset(191 ^ [powerset(empty_set), empty_set]), 191 ^ [powerset(empty_set), empty_set], set_difference(empty_set, _89671)]]))).
% 189.90/182.81  ncf('1.1.2.1.1',plain,[in(191 ^ [powerset(empty_set), empty_set], powerset(empty_set))],extension(201 ^ 6)).
% 189.90/182.81  ncf('1.1.2.1.2',plain,[-(in(set_difference(empty_set, _89671), powerset(191 ^ [powerset(empty_set), empty_set]))), 228 : subset(set_difference(empty_set, _89671), empty_set), 228 : powerset(191 ^ [powerset(empty_set), empty_set]) = powerset(empty_set)],extension(218 ^ 6,bind([[_124426, _124428, _124768], [powerset(191 ^ [powerset(empty_set), empty_set]), empty_set, set_difference(empty_set, _89671)]]))).
% 189.90/182.81  ncf('1.1.2.1.2.1',plain,[-(subset(set_difference(empty_set, _89671), empty_set))],extension(667 ^ 9,bind([[_139589, _139591], [_89671, empty_set]]))).
% 189.90/182.81  ncf('1.1.2.1.2.2',plain,[-(powerset(191 ^ [powerset(empty_set), empty_set]) = powerset(empty_set))],reduction('1.1.2')).
% 189.90/182.81  ncf('1.1.2.1.3',plain,[-(set_difference(empty_set, _89671) = 191 ^ [powerset(empty_set), empty_set]), set_difference(empty_set, _89671) = empty_set, empty_set = 191 ^ [powerset(empty_set), empty_set]],extension(10 ^ 6,bind([[_117314, _117316, _117318], [191 ^ [powerset(empty_set), empty_set], empty_set, set_difference(empty_set, _89671)]]))).
% 189.90/182.81  ncf('1.1.2.1.3.1',plain,[-(set_difference(empty_set, _89671) = empty_set)],extension(720 ^ 7,bind([[_141586], [_89671]]))).
% 189.90/182.81  ncf('1.1.2.1.3.2',plain,[-(empty_set = 191 ^ [powerset(empty_set), empty_set]), 191 ^ [powerset(empty_set), empty_set] = empty_set],extension(4 ^ 7,bind([[_117110, _117112], [empty_set, 191 ^ [powerset(empty_set), empty_set]]]))).
% 189.90/182.81  ncf('1.1.2.1.3.2.1',plain,[-(191 ^ [powerset(empty_set), empty_set] = empty_set)],reduction('1.1')).
% 189.90/182.81  %-----------------------------------------------------
% 189.90/182.81  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------