%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU149+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 12:02:23 EDT 2023

% Result   : Theorem 9.71s 9.65s
% Output   : Proof 9.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU149+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n005.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 12:49:38 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 9.71/9.65  
% 9.71/9.65  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 9.71/9.65  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.71/9.65  %-----------------------------------------------------
% 9.71/9.65  ncf(matrix, plain, [(810 ^ _109705) ^ [] : [-(singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ []))], (812 ^ _109705) ^ [] : [806 ^ [] = 807 ^ []], (86 ^ _109705) ^ [_112538, _112540] : [_112540 = _112538, -(powerset(_112540) = powerset(_112538))], (92 ^ _109705) ^ [_112784, _112786, _112788, _112790] : [-(set_intersection2(_112790, _112786) = set_intersection2(_112788, _112784)), _112790 = _112788, _112786 = _112784], (102 ^ _109705) ^ [_113143, _113145, _113147, _113149] : [-(set_difference(_113149, _113145) = set_difference(_113147, _113143)), _113149 = _113147, _113145 = _113143], (112 ^ _109705) ^ [_113502, _113504, _113506, _113508] : [-(set_union2(_113508, _113504) = set_union2(_113506, _113502)), _113508 = _113506, _113504 = _113502], (122 ^ _109705) ^ [_113833, _113835] : [_113835 = _113833, -(singleton(_113835) = singleton(_113833))], (128 ^ _109705) ^ [_114059, _114061, _114063, _114065] : [-(unordered_pair(_114065, _114061) = unordered_pair(_114063, _114059)), _114065 = _114063, _114061 = _114059], (2 ^ _109705) ^ [_109849] : [-(_109849 = _109849)], (4 ^ _109705) ^ [_109956, _109958] : [_109958 = _109956, -(_109956 = _109958)], (10 ^ _109705) ^ [_110160, _110162, _110164] : [-(_110164 = _110160), _110164 = _110162, _110162 = _110160], (20 ^ _109705) ^ [_110501, _110503, _110505, _110507] : [-(proper_subset(_110505, _110501)), proper_subset(_110507, _110503), _110507 = _110505, _110503 = _110501], (34 ^ _109705) ^ [_110945, _110947, _110949, _110951] : [-(in(_110949, _110945)), in(_110951, _110947), _110951 = _110949, _110947 = _110945], (48 ^ _109705) ^ [_111389, _111391, _111393, _111395] : [-(disjoint(_111393, _111389)), disjoint(_111395, _111391), _111395 = _111393, _111391 = _111389], (62 ^ _109705) ^ [_111805, _111807] : [-(empty(_111805)), _111807 = _111805, empty(_111807)], (72 ^ _109705) ^ [_112108, _112110, _112112, _112114] : [-(subset(_112112, _112108)), subset(_112114, _112110), _112114 = _112112, _112110 = _112108], (138 ^ _109705) ^ [_114412, _114414] : [in(_114414, _114412), in(_114412, _114414)], (144 ^ _109705) ^ [_114623, _114625] : [proper_subset(_114625, _114623), proper_subset(_114623, _114625)], (150 ^ _109705) ^ [_114819, _114821] : [-(unordered_pair(_114821, _114819) = unordered_pair(_114819, _114821))], (152 ^ _109705) ^ [_114919, _114921] : [-(set_union2(_114921, _114919) = set_union2(_114919, _114921))], (154 ^ _109705) ^ [_115019, _115021] : [-(set_intersection2(_115021, _115019) = set_intersection2(_115019, _115021))], (156 ^ _109705) ^ [_115163, _115165] : [_115165 = _115163, 159 ^ _109705 : [(160 ^ _109705) ^ [] : [-(subset(_115165, _115163))], (162 ^ _109705) ^ [] : [-(subset(_115163, _115165))]]], (164 ^ _109705) ^ [_115400, _115402] : [-(_115402 = _115400), subset(_115402, _115400), subset(_115400, _115402)], (190 ^ _109705) ^ [_116251, _116253] : [-(_116251 = singleton(_116253)), 194 ^ _109705 : [(195 ^ _109705) ^ [] : [-(in(191 ^ [_116251, _116253], _116251))], (197 ^ _109705) ^ [] : [191 ^ [_116251, _116253] = _116253]], 198 ^ _109705 : [(199 ^ _109705) ^ [] : [-(191 ^ [_116251, _116253] = _116253)], (201 ^ _109705) ^ [] : [in(191 ^ [_116251, _116253], _116251)]]], (174 ^ _109705) ^ [_115730, _115732] : [_115730 = singleton(_115732), 177 ^ _109705 : [(178 ^ _109705) ^ [_115900] : [in(_115900, _115730), -(_115900 = _115732)], (184 ^ _109705) ^ [_116072] : [_116072 = _115732, -(in(_116072, _115730))]]], (205 ^ _109705) ^ [_116802] : [_116802 = empty_set, 208 ^ _109705 : [(209 ^ _109705) ^ [_116915] : [in(_116915, _116802)]]], (211 ^ _109705) ^ [_116981] : [-(in(212 ^ [_116981], _116981)), -(_116981 = empty_set)], (234 ^ _109705) ^ [_117793, _117795] : [-(_117793 = powerset(_117795)), 238 ^ _109705 : [(239 ^ _109705) ^ [] : [-(in(235 ^ [_117793, _117795], _117793))], (241 ^ _109705) ^ [] : [subset(235 ^ [_117793, _117795], _117795)]], 242 ^ _109705 : [(243 ^ _109705) ^ [] : [-(subset(235 ^ [_117793, _117795], _117795))], (245 ^ _109705) ^ [] : [in(235 ^ [_117793, _117795], _117793)]]], (218 ^ _109705) ^ [_117272, _117274] : [_117272 = powerset(_117274), 221 ^ _109705 : [(222 ^ _109705) ^ [_117442] : [in(_117442, _117272), -(subset(_117442, _117274))], (228 ^ _109705) ^ [_117614] : [subset(_117614, _117274), -(in(_117614, _117272))]]], (271 ^ _109705) ^ [_119097, _119099, _119101] : [-(_119097 = unordered_pair(_119101, _119099)), 275 ^ _109705 : [(276 ^ _109705) ^ [] : [-(in(272 ^ [_119097, _119099, _119101], _119097))], (278 ^ _109705) ^ [] : [272 ^ [_119097, _119099, _119101] = _119101], (280 ^ _109705) ^ [] : [272 ^ [_119097, _119099, _119101] = _119099]], 281 ^ _109705 : [(288 ^ _109705) ^ [] : [in(272 ^ [_119097, _119099, _119101], _119097)], (282 ^ _109705) ^ [] : [-(272 ^ [_119097, _119099, _119101] = _119101), -(272 ^ [_119097, _119099, _119101] = _119099)]]], (249 ^ _109705) ^ [_118372, _118374, _118376] : [_118372 = unordered_pair(_118376, _118374), 252 ^ _109705 : [(263 ^ _109705) ^ [_118832] : [264 ^ _109705 : [(265 ^ _109705) ^ [] : [_118832 = _118376], (267 ^ _109705) ^ [] : [_118832 = _118374]], -(in(_118832, _118372))], (253 ^ _109705) ^ [_118554] : [in(_118554, _118372), -(_118554 = _118376), -(_118554 = _118374)]]], (314 ^ _109705) ^ [_120616, _120618, _120620] : [-(_120616 = set_union2(_120620, _120618)), 318 ^ _109705 : [(319 ^ _109705) ^ [] : [-(in(315 ^ [_120616, _120618, _120620], _120616))], (321 ^ _109705) ^ [] : [in(315 ^ [_120616, _120618, _120620], _120620)], (323 ^ _109705) ^ [] : [in(315 ^ [_120616, _120618, _120620], _120618)]], 324 ^ _109705 : [(331 ^ _109705) ^ [] : [in(315 ^ [_120616, _120618, _120620], _120616)], (325 ^ _109705) ^ [] : [-(in(315 ^ [_120616, _120618, _120620], _120620)), -(in(315 ^ [_120616, _120618, _120620], _120618))]]], (292 ^ _109705) ^ [_119891, _119893, _119895] : [_119891 = set_union2(_119895, _119893), 295 ^ _109705 : [(306 ^ _109705) ^ [_120351] : [307 ^ _109705 : [(308 ^ _109705) ^ [] : [in(_120351, _119895)], (310 ^ _109705) ^ [] : [in(_120351, _119893)]], -(in(_120351, _119891))], (296 ^ _109705) ^ [_120073] : [in(_120073, _119891), -(in(_120073, _119895)), -(in(_120073, _119893))]]], (345 ^ _109705) ^ [_121710, _121712] : [347 ^ _109705 : [(348 ^ _109705) ^ [] : [-(in(346 ^ [_121710, _121712], _121712))], (350 ^ _109705) ^ [] : [in(346 ^ [_121710, _121712], _121710)]], -(subset(_121712, _121710))], (335 ^ _109705) ^ [_121396, _121398] : [subset(_121398, _121396), 338 ^ _109705 : [(339 ^ _109705) ^ [_121533] : [in(_121533, _121398), -(in(_121533, _121396))]]], (376 ^ _109705) ^ [_122835, _122837, _122839] : [-(_122835 = set_intersection2(_122839, _122837)), 388 ^ _109705 : [(389 ^ _109705) ^ [] : [-(in(377 ^ [_122835, _122837, _122839], _122839))], (391 ^ _109705) ^ [] : [-(in(377 ^ [_122835, _122837, _122839], _122837))], (393 ^ _109705) ^ [] : [in(377 ^ [_122835, _122837, _122839], _122835)]], 380 ^ _109705 : [(381 ^ _109705) ^ [] : [-(in(377 ^ [_122835, _122837, _122839], _122835))], (383 ^ _109705) ^ [] : [in(377 ^ [_122835, _122837, _122839], _122839), in(377 ^ [_122835, _122837, _122839], _122837)]]], (354 ^ _109705) ^ [_122110, _122112, _122114] : [_122110 = set_intersection2(_122114, _122112), 357 ^ _109705 : [(358 ^ _109705) ^ [_122292] : [in(_122292, _122110), 361 ^ _109705 : [(362 ^ _109705) ^ [] : [-(in(_122292, _122114))], (364 ^ _109705) ^ [] : [-(in(_122292, _122112))]]], (366 ^ _109705) ^ [_122551] : [-(in(_122551, _122110)), in(_122551, _122114), in(_122551, _122112)]]], (419 ^ _109705) ^ [_124362, _124364, _124366] : [-(_124362 = set_difference(_124366, _124364)), 431 ^ _109705 : [(432 ^ _109705) ^ [] : [-(in(420 ^ [_124362, _124364, _124366], _124366))], (434 ^ _109705) ^ [] : [in(420 ^ [_124362, _124364, _124366], _124364)], (436 ^ _109705) ^ [] : [in(420 ^ [_124362, _124364, _124366], _124362)]], 423 ^ _109705 : [(424 ^ _109705) ^ [] : [-(in(420 ^ [_124362, _124364, _124366], _124362))], (426 ^ _109705) ^ [] : [in(420 ^ [_124362, _124364, _124366], _124366), -(in(420 ^ [_124362, _124364, _124366], _124364))]]], (397 ^ _109705) ^ [_123631, _123633, _123635] : [_123631 = set_difference(_123635, _123633), 400 ^ _109705 : [(401 ^ _109705) ^ [_123815] : [in(_123815, _123631), 404 ^ _109705 : [(405 ^ _109705) ^ [] : [-(in(_123815, _123635))], (407 ^ _109705) ^ [] : [in(_123815, _123633)]]], (409 ^ _109705) ^ [_124075] : [-(in(_124075, _123631)), in(_124075, _123635), -(in(_124075, _123633))]]], (440 ^ _109705) ^ [_125148, _125150] : [disjoint(_125150, _125148), -(set_intersection2(_125150, _125148) = empty_set)], (446 ^ _109705) ^ [_125316, _125318] : [set_intersection2(_125318, _125316) = empty_set, -(disjoint(_125318, _125316))], (452 ^ _109705) ^ [_125563, _125565] : [proper_subset(_125565, _125563), 455 ^ _109705 : [(456 ^ _109705) ^ [] : [-(subset(_125565, _125563))], (458 ^ _109705) ^ [] : [_125565 = _125563]]], (460 ^ _109705) ^ [_125801, _125803] : [-(proper_subset(_125803, _125801)), subset(_125803, _125801), -(_125803 = _125801)], (470 ^ _109705) ^ [] : [true___, -(true___)], (476 ^ _109705) ^ [] : [true___, -(true___)], (482 ^ _109705) ^ [] : [true___, -(true___)], (488 ^ _109705) ^ [] : [true___, -(true___)], (494 ^ _109705) ^ [] : [true___, -(true___)], (500 ^ _109705) ^ [] : [true___, -(true___)], (506 ^ _109705) ^ [] : [true___, -(true___)], (512 ^ _109705) ^ [] : [-(empty(empty_set))], (514 ^ _109705) ^ [_126991, _126993] : [-(empty(_126993)), empty(set_union2(_126993, _126991))], (520 ^ _109705) ^ [_127207, _127209] : [-(empty(_127209)), empty(set_union2(_127207, _127209))], (526 ^ _109705) ^ [_127408, _127410] : [-(set_union2(_127410, _127410) = _127410)], (528 ^ _109705) ^ [_127505, _127507] : [-(set_intersection2(_127507, _127507) = _127507)], (530 ^ _109705) ^ [_127601, _127603] : [proper_subset(_127603, _127603)], (532 ^ _109705) ^ [_127680] : [singleton(_127680) = empty_set], (534 ^ _109705) ^ [_127818, _127820] : [subset(singleton(_127820), _127818), -(in(_127820, _127818))], (540 ^ _109705) ^ [_127984, _127986] : [in(_127986, _127984), -(subset(singleton(_127986), _127984))], (546 ^ _109705) ^ [_128229, _128231] : [set_difference(_128231, _128229) = empty_set, -(subset(_128231, _128229))], (552 ^ _109705) ^ [_128397, _128399] : [subset(_128399, _128397), -(set_difference(_128399, _128397) = empty_set)], (558 ^ _109705) ^ [_128629, _128631, _128633] : [subset(_128633, _128631), -(in(_128629, _128633)), -(subset(_128633, set_difference(_128631, singleton(_128629))))], (578 ^ _109705) ^ [_129238, _129240] : [579 ^ _109705 : [(580 ^ _109705) ^ [] : [_129240 = empty_set], (582 ^ _109705) ^ [] : [_129240 = singleton(_129238)]], -(subset(_129240, singleton(_129238)))], (568 ^ _109705) ^ [_128978, _128980] : [subset(_128980, singleton(_128978)), -(_128980 = empty_set), -(_128980 = singleton(_128978))], (587 ^ _109705) ^ [] : [-(empty(585 ^ []))], (590 ^ _109705) ^ [] : [empty(588 ^ [])], (592 ^ _109705) ^ [_129696, _129698] : [-(subset(_129698, _129698))], (594 ^ _109705) ^ [_129805, _129807] : [disjoint(_129807, _129805), -(disjoint(_129805, _129807))], (600 ^ _109705) ^ [_130015, _130017] : [subset(_130017, _130015), -(set_union2(_130017, _130015) = _130015)], (606 ^ _109705) ^ [_130216, _130218] : [-(subset(set_intersection2(_130218, _130216), _130218))], (608 ^ _109705) ^ [_130342, _130344, _130346] : [-(subset(_130346, set_intersection2(_130344, _130342))), subset(_130346, _130344), subset(_130346, _130342)], (618 ^ _109705) ^ [_130628] : [-(set_union2(_130628, empty_set) = _130628)], (620 ^ _109705) ^ [_130752, _130754, _130756] : [-(subset(_130756, _130752)), subset(_130756, _130754), subset(_130754, _130752)], (630 ^ _109705) ^ [] : [-(powerset(empty_set) = singleton(empty_set))], (632 ^ _109705) ^ [_131128, _131130, _131132] : [subset(_131132, _131130), -(subset(set_intersection2(_131132, _131128), set_intersection2(_131130, _131128)))], (638 ^ _109705) ^ [_131356, _131358] : [subset(_131358, _131356), -(set_intersection2(_131358, _131356) = _131358)], (644 ^ _109705) ^ [_131543] : [-(set_intersection2(_131543, empty_set) = empty_set)], (646 ^ _109705) ^ [_131653, _131655] : [-(_131655 = _131653), 650 ^ _109705 : [(651 ^ _109705) ^ [] : [-(in(647 ^ [_131653, _131655], _131655))], (653 ^ _109705) ^ [] : [in(647 ^ [_131653, _131655], _131653)]], 654 ^ _109705 : [(655 ^ _109705) ^ [] : [-(in(647 ^ [_131653, _131655], _131653))], (657 ^ _109705) ^ [] : [in(647 ^ [_131653, _131655], _131655)]]], (661 ^ _109705) ^ [_132154] : [-(subset(empty_set, _132154))], (663 ^ _109705) ^ [_132275, _132277, _132279] : [subset(_132279, _132277), -(subset(set_difference(_132279, _132275), set_difference(_132277, _132275)))], (669 ^ _109705) ^ [_132488, _132490] : [-(subset(set_difference(_132490, _132488), _132490))], (671 ^ _109705) ^ [_132629, _132631] : [set_difference(_132631, _132629) = empty_set, -(subset(_132631, _132629))], (677 ^ _109705) ^ [_132797, _132799] : [subset(_132799, _132797), -(set_difference(_132799, _132797) = empty_set)], (683 ^ _109705) ^ [_133000, _133002] : [-(set_union2(_133002, set_difference(_133000, _133002)) = set_union2(_133002, _133000))], (685 ^ _109705) ^ [_133089] : [-(set_difference(_133089, empty_set) = _133089)], (687 ^ _109705) ^ [_133219, _133221] : [-(disjoint(_133221, _133219)), 691 ^ _109705 : [(692 ^ _109705) ^ [] : [-(in(690 ^ [_133219, _133221], _133221))], (694 ^ _109705) ^ [] : [-(in(690 ^ [_133219, _133221], _133219))]]], (696 ^ _109705) ^ [_133533, _133535] : [disjoint(_133535, _133533), 697 ^ _109705 : [(698 ^ _109705) ^ [_133625] : [in(_133625, _133535), in(_133625, _133533)]]], (706 ^ _109705) ^ [_133882] : [subset(_133882, empty_set), -(_133882 = empty_set)], (712 ^ _109705) ^ [_134071, _134073] : [-(set_difference(set_union2(_134073, _134071), _134071) = set_difference(_134073, _134071))], (714 ^ _109705) ^ [_134189, _134191] : [subset(_134191, _134189), -(_134189 = set_union2(_134191, set_difference(_134189, _134191)))], (720 ^ _109705) ^ [_134396, _134398] : [-(set_difference(_134398, set_difference(_134398, _134396)) = set_intersection2(_134398, _134396))], (722 ^ _109705) ^ [_134485] : [-(set_difference(empty_set, _134485) = empty_set)], (724 ^ _109705) ^ [_134615, _134617] : [-(disjoint(_134617, _134615)), -(in(727 ^ [_134615, _134617], set_intersection2(_134617, _134615)))], (731 ^ _109705) ^ [_134850, _134852] : [732 ^ _109705 : [(733 ^ _109705) ^ [_134923] : [in(_134923, set_intersection2(_134852, _134850))]], disjoint(_134852, _134850)], (737 ^ _109705) ^ [_135089, _135091] : [subset(_135091, _135089), proper_subset(_135089, _135091)], (743 ^ _109705) ^ [_135312, _135314, _135316] : [-(disjoint(_135316, _135312)), subset(_135316, _135314), disjoint(_135314, _135312)], (753 ^ _109705) ^ [_135592] : [-(unordered_pair(_135592, _135592) = singleton(_135592))], (755 ^ _109705) ^ [_135690] : [empty(_135690), -(_135690 = empty_set)], (761 ^ _109705) ^ [_135892, _135894] : [subset(singleton(_135894), singleton(_135892)), -(_135894 = _135892)], (767 ^ _109705) ^ [_136110, _136112] : [in(_136112, _136110), empty(_136110)], (773 ^ _109705) ^ [_136302, _136304] : [-(subset(_136304, set_union2(_136304, _136302)))], (775 ^ _109705) ^ [_136443, _136445] : [disjoint(_136445, _136443), -(set_difference(_136445, _136443) = _136445)], (781 ^ _109705) ^ [_136611, _136613] : [set_difference(_136613, _136611) = _136613, -(disjoint(_136613, _136611))], (787 ^ _109705) ^ [_136829, _136831] : [empty(_136831), -(_136831 = _136829), empty(_136829)], (797 ^ _109705) ^ [_137120, _137122, _137124] : [-(subset(set_union2(_137124, _137120), _137122)), subset(_137124, _137122), subset(_137120, _137122)]], input).
% 9.71/9.65  ncf('1',plain,[proper_subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])), proper_subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []))],start(144 ^ 0,bind([[_114623, _114625], [unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])]]))).
% 9.71/9.65  ncf('1.1',plain,[-(proper_subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []))), subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])), -(unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ []))],extension(460 ^ 1,bind([[_125801, _125803], [unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])]]))).
% 9.71/9.65  ncf('1.1.1',plain,[-(subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []))), subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])), unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ [])],extension(72 ^ 2,bind([[_112108, _112110, _112112, _112114], [unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])]]))).
% 9.71/9.65  ncf('1.1.1.1',plain,[-(subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []))), subset(singleton(806 ^ []), unordered_pair(807 ^ [], 808 ^ [])), singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ [])],extension(72 ^ 3,bind([[_112108, _112110, _112112, _112114], [unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ []), singleton(806 ^ [])]]))).
% 9.71/9.65  ncf('1.1.1.1.1',plain,[-(subset(singleton(806 ^ []), unordered_pair(807 ^ [], 808 ^ []))), singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ [])],extension(156 ^ 4,bind([[_115163, _115165], [unordered_pair(807 ^ [], 808 ^ []), singleton(806 ^ [])]]))).
% 9.71/9.65  ncf('1.1.1.1.1.1',plain,[-(singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ []))],extension(810 ^ 5)).
% 9.71/9.65  ncf('1.1.1.1.2',plain,[-(singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ []))],extension(810 ^ 4)).
% 9.71/9.65  ncf('1.1.1.1.3',plain,[-(unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ []))],extension(2 ^ 4,bind([[_109849], [unordered_pair(807 ^ [], 808 ^ [])]]))).
% 9.71/9.65  ncf('1.1.1.2',plain,[-(unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ [])), 807 ^ [] = 807 ^ [], 808 ^ [] = 808 ^ []],extension(128 ^ 3,bind([[_114059, _114061, _114063, _114065], [808 ^ [], 808 ^ [], 807 ^ [], 807 ^ []]]))).
% 9.71/9.65  ncf('1.1.1.2.1',plain,[-(807 ^ [] = 807 ^ [])],extension(2 ^ 4,bind([[_109849], [807 ^ []]]))).
% 9.71/9.65  ncf('1.1.1.2.2',plain,[-(808 ^ [] = 808 ^ [])],extension(2 ^ 4,bind([[_109849], [808 ^ []]]))).
% 9.71/9.65  ncf('1.1.1.3',plain,[-(unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ [])), 807 ^ [] = 807 ^ [], 808 ^ [] = 808 ^ []],extension(128 ^ 3,bind([[_114059, _114061, _114063, _114065], [808 ^ [], 808 ^ [], 807 ^ [], 807 ^ []]]))).
% 9.71/9.65  ncf('1.1.1.3.1',plain,[-(807 ^ [] = 807 ^ [])],extension(2 ^ 4,bind([[_109849], [807 ^ []]]))).
% 9.71/9.65  ncf('1.1.1.3.2',plain,[-(808 ^ [] = 808 ^ [])],extension(2 ^ 4,bind([[_109849], [808 ^ []]]))).
% 9.71/9.65  ncf('1.1.2',plain,[unordered_pair(807 ^ [], 808 ^ []) = unordered_pair(807 ^ [], 808 ^ []), 265 : 807 ^ [] = 807 ^ [], 265 : -(in(807 ^ [], unordered_pair(807 ^ [], 808 ^ [])))],extension(249 ^ 2,bind([[_118372, _118374, _118376, _118832], [unordered_pair(807 ^ [], 808 ^ []), 808 ^ [], 807 ^ [], 807 ^ []]]))).
% 9.71/9.65  ncf('1.1.2.1',plain,[-(807 ^ [] = 807 ^ [])],extension(2 ^ 7,bind([[_109849], [807 ^ []]]))).
% 9.71/9.65  ncf('1.1.2.2',plain,[in(807 ^ [], unordered_pair(807 ^ [], 808 ^ [])), 178 : -(807 ^ [] = 806 ^ []), 178 : unordered_pair(807 ^ [], 808 ^ []) = singleton(806 ^ [])],extension(174 ^ 5,bind([[_115730, _115732, _115900], [unordered_pair(807 ^ [], 808 ^ []), 806 ^ [], 807 ^ []]]))).
% 9.71/9.65  ncf('1.1.2.2.1',plain,[807 ^ [] = 806 ^ [], -(806 ^ [] = 807 ^ [])],extension(4 ^ 8,bind([[_109956, _109958], [806 ^ [], 807 ^ []]]))).
% 9.71/9.65  ncf('1.1.2.2.1.1',plain,[806 ^ [] = 807 ^ []],extension(812 ^ 9)).
% 9.71/9.65  ncf('1.1.2.2.2',plain,[-(unordered_pair(807 ^ [], 808 ^ []) = singleton(806 ^ [])), singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ [])],extension(4 ^ 6,bind([[_109956, _109958], [unordered_pair(807 ^ [], 808 ^ []), singleton(806 ^ [])]]))).
% 9.71/9.65  ncf('1.1.2.2.2.1',plain,[-(singleton(806 ^ []) = unordered_pair(807 ^ [], 808 ^ []))],extension(810 ^ 7)).
% 9.71/9.65  ncf('1.2',plain,[-(proper_subset(unordered_pair(807 ^ [], 808 ^ []), unordered_pair(807 ^ [], 808 ^ [])))],lemmata('x')).
% 9.71/9.65  %-----------------------------------------------------
% 9.71/9.65  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------