%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 12:03:05 EDT 2023

% Result   : Theorem 43.42s 42.79s
% Output   : Proof 43.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU310+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 12:28:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 43.42/42.79  
% 43.42/42.79  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.42/42.79  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.42/42.79  %-----------------------------------------------------
% 43.42/42.79  ncf(matrix, plain, [(615 ^ _120156) ^ [] : [-(top_str(610 ^ []))], (617 ^ _120156) ^ [] : [-(element(611 ^ [], powerset(powerset(the_carrier(610 ^ [])))))], (620 ^ _120156) ^ [_120441] : [629 ^ _120156 : [(634 ^ _120156) ^ [] : [in(618 ^ [_120441], _120441)], (632 ^ _120156) ^ [] : [-(in(set_difference(cast_as_carrier_subset(610 ^ []), 618 ^ [_120441]), 611 ^ []))], (630 ^ _120156) ^ [] : [-(in(618 ^ [_120441], powerset(the_carrier(610 ^ []))))]], 621 ^ _120156 : [(624 ^ _120156) ^ [] : [in(618 ^ [_120441], powerset(the_carrier(610 ^ []))), in(set_difference(cast_as_carrier_subset(610 ^ []), 618 ^ [_120441]), 611 ^ [])], (622 ^ _120156) ^ [] : [-(in(618 ^ [_120441], _120441))]]], (613 ^ _120156) ^ [] : [-(topological_space(610 ^ []))], !, (248 ^ _99573) ^ [_107384] : [v2_membered(_107384), -(v1_membered(_107384))], (202 ^ _99573) ^ [_105801, _105803] : [_105803 = _105801, -(powerset(_105803) = powerset(_105801))], (463 ^ _99573) ^ [_114811] : [471 ^ _99573 : [(474 ^ _99573) ^ [] : [-(closed_subset(470 ^ [_114811], _114811))], (472 ^ _99573) ^ [] : [-(element(470 ^ [_114811], powerset(the_carrier(_114811))))]], topological_space(_114811), top_str(_114811)], (490 ^ _99573) ^ [_115762] : [empty(_115762), 493 ^ _99573 : [(494 ^ _99573) ^ [] : [-(v1_membered(_115762))], (498 ^ _99573) ^ [] : [-(v3_membered(_115762))], (502 ^ _99573) ^ [] : [-(v5_membered(_115762))], (500 ^ _99573) ^ [] : [-(v4_membered(_115762))], (496 ^ _99573) ^ [] : [-(v2_membered(_115762))]]], (516 ^ _99573) ^ [_116559] : [one_sorted_str(_116559), -(element(cast_as_carrier_subset(_116559), powerset(the_carrier(_116559))))], (546 ^ _99573) ^ [_117302] : [-(closed_subset(cast_as_carrier_subset(_117302), _117302)), topological_space(_117302), top_str(_117302)], (60 ^ _99573) ^ [_101501, _101503] : [-(v1_rat_1(_101501)), _101503 = _101501, v1_rat_1(_101503)], (255 ^ _99573) ^ [] : [empty(253 ^ [])], (373 ^ _99573) ^ [_111633] : [v4_membered(_111633), 376 ^ _99573 : [(377 ^ _99573) ^ [_111780] : [element(_111780, powerset(_111633)), 380 ^ _99573 : [(383 ^ _99573) ^ [] : [-(v2_membered(_111780))], (385 ^ _99573) ^ [] : [-(v3_membered(_111780))], (387 ^ _99573) ^ [] : [-(v4_membered(_111780))], (381 ^ _99573) ^ [] : [-(v1_membered(_111780))]]]]], (164 ^ _99573) ^ [_104600, _104602] : [-(top_str(_104600)), _104602 = _104600, top_str(_104602)], (303 ^ _99573) ^ [_109186] : [v4_membered(_109186), 306 ^ _99573 : [(307 ^ _99573) ^ [_109331] : [element(_109331, _109186), 310 ^ _99573 : [(313 ^ _99573) ^ [] : [-(v1_xreal_0(_109331))], (315 ^ _99573) ^ [] : [-(v1_int_1(_109331))], (317 ^ _99573) ^ [] : [-(v1_rat_1(_109331))], (311 ^ _99573) ^ [] : [-(v1_xcmplx_0(_109331))]]]]], (154 ^ _99573) ^ [_104305, _104307] : [-(topological_space(_104305)), _104307 = _104305, topological_space(_104307)], (413 ^ _99573) ^ [_113074, _113076] : [v2_membered(_113076), 416 ^ _99573 : [(419 ^ _99573) ^ [] : [-(v2_membered(set_difference(_113076, _113074)))], (417 ^ _99573) ^ [] : [-(v1_membered(set_difference(_113076, _113074)))]]], (407 ^ _99573) ^ [_112862, _112864] : [v1_membered(_112864), -(v1_membered(set_difference(_112864, _112862)))], (208 ^ _99573) ^ [_106019, _106021] : [_106021 = _106019, -(the_carrier(_106021) = the_carrier(_106019))], (10 ^ _99573) ^ [_100008, _100010, _100012] : [-(_100012 = _100008), _100012 = _100010, _100010 = _100008], (486 ^ _99573) ^ [_115612] : [-(element(484 ^ [_115612], powerset(_115612)))], (90 ^ _99573) ^ [_102386, _102388] : [-(v3_membered(_102386)), _102388 = _102386, v3_membered(_102388)], (120 ^ _99573) ^ [_103271, _103273] : [-(one_sorted_str(_103271)), _103273 = _103271, one_sorted_str(_103273)], (214 ^ _99573) ^ [_106265, _106267, _106269, _106271] : [-(set_difference(_106271, _106267) = set_difference(_106269, _106265)), _106271 = _106269, _106267 = _106265], (80 ^ _99573) ^ [_102091, _102093] : [-(v2_membered(_102091)), _102093 = _102091, v2_membered(_102093)], (2 ^ _99573) ^ [_99697] : [-(_99697 = _99697)], (174 ^ _99573) ^ [_104923, _104925, _104927, _104929] : [-(element(_104927, _104923)), element(_104929, _104925), _104929 = _104927, _104925 = _104923], (431 ^ _99573) ^ [_113734, _113736] : [v4_membered(_113736), 434 ^ _99573 : [(437 ^ _99573) ^ [] : [-(v2_membered(set_difference(_113736, _113734)))], (439 ^ _99573) ^ [] : [-(v3_membered(set_difference(_113736, _113734)))], (441 ^ _99573) ^ [] : [-(v4_membered(set_difference(_113736, _113734)))], (435 ^ _99573) ^ [] : [-(v1_membered(set_difference(_113736, _113734)))]]], (30 ^ _99573) ^ [_100616, _100618] : [-(natural(_100616)), _100618 = _100616, natural(_100618)], (359 ^ _99573) ^ [_111141] : [v3_membered(_111141), 362 ^ _99573 : [(363 ^ _99573) ^ [_111283] : [element(_111283, powerset(_111141)), 366 ^ _99573 : [(371 ^ _99573) ^ [] : [-(v3_membered(_111283))], (369 ^ _99573) ^ [] : [-(v2_membered(_111283))], (367 ^ _99573) ^ [] : [-(v1_membered(_111283))]]]]], (236 ^ _99573) ^ [_107012] : [v4_membered(_107012), -(v3_membered(_107012))], (556 ^ _99573) ^ [_117561] : [empty(powerset(_117561))], (265 ^ _99573) ^ [] : [-(v5_membered(253 ^ []))], (421 ^ _99573) ^ [_113365, _113367] : [v3_membered(_113367), 424 ^ _99573 : [(429 ^ _99573) ^ [] : [-(v3_membered(set_difference(_113367, _113365)))], (427 ^ _99573) ^ [] : [-(v2_membered(set_difference(_113367, _113365)))], (425 ^ _99573) ^ [] : [-(v1_membered(set_difference(_113367, _113365)))]]], (540 ^ _99573) ^ [] : [true___, -(true___)], (259 ^ _99573) ^ [] : [-(v2_membered(253 ^ []))], (457 ^ _99573) ^ [] : [true___, -(true___)], (522 ^ _99573) ^ [] : [true___, -(true___)], (277 ^ _99573) ^ [_108291] : [v2_membered(_108291), 280 ^ _99573 : [(281 ^ _99573) ^ [_108426] : [element(_108426, _108291), 284 ^ _99573 : [(287 ^ _99573) ^ [] : [-(v1_xreal_0(_108426))], (285 ^ _99573) ^ [] : [-(v1_xcmplx_0(_108426))]]]]], (230 ^ _99573) ^ [_106826] : [v5_membered(_106826), -(v4_membered(_106826))], (337 ^ _99573) ^ [_110389] : [v1_membered(_110389), 340 ^ _99573 : [(341 ^ _99573) ^ [_110521] : [element(_110521, powerset(_110389)), -(v1_membered(_110521))]]], (70 ^ _99573) ^ [_101796, _101798] : [-(v1_membered(_101796)), _101798 = _101796, v1_membered(_101798)], (110 ^ _99573) ^ [_102976, _102978] : [-(v5_membered(_102976)), _102978 = _102976, v5_membered(_102978)], (534 ^ _99573) ^ [] : [true___, -(true___)], (100 ^ _99573) ^ [_102681, _102683] : [-(v4_membered(_102681)), _102683 = _102681, v4_membered(_102683)], (510 ^ _99573) ^ [] : [true___, -(true___)], (488 ^ _99573) ^ [_115663] : [-(empty(484 ^ [_115663]))], (224 ^ _99573) ^ [_106576, _106578] : [_106578 = _106576, -(cast_as_carrier_subset(_106578) = cast_as_carrier_subset(_106576))], (4 ^ _99573) ^ [_99804, _99806] : [_99806 = _99804, -(_99804 = _99806)], (476 ^ _99573) ^ [_115229] : [-(empty(_115229)), 480 ^ _99573 : [(483 ^ _99573) ^ [] : [empty(479 ^ [_115229])], (481 ^ _99573) ^ [] : [-(element(479 ^ [_115229], powerset(_115229)))]]], (242 ^ _99573) ^ [_107198] : [v3_membered(_107198), -(v2_membered(_107198))], (443 ^ _99573) ^ [_114181, _114183] : [v5_membered(_114183), 446 ^ _99573 : [(447 ^ _99573) ^ [] : [-(v1_membered(set_difference(_114183, _114181)))], (451 ^ _99573) ^ [] : [-(v3_membered(set_difference(_114183, _114181)))], (455 ^ _99573) ^ [] : [-(v5_membered(set_difference(_114183, _114181)))], (453 ^ _99573) ^ [] : [-(v4_membered(set_difference(_114183, _114181)))], (449 ^ _99573) ^ [] : [-(v2_membered(set_difference(_114183, _114181)))]]], (347 ^ _99573) ^ [_110726] : [v2_membered(_110726), 350 ^ _99573 : [(351 ^ _99573) ^ [_110863] : [element(_110863, powerset(_110726)), 354 ^ _99573 : [(357 ^ _99573) ^ [] : [-(v2_membered(_110863))], (355 ^ _99573) ^ [] : [-(v1_membered(_110863))]]]]], (257 ^ _99573) ^ [] : [-(v1_membered(253 ^ []))], (558 ^ _99573) ^ [_117649, _117651] : [topological_space(_117651), top_str(_117651), element(_117649, powerset(powerset(the_carrier(_117651)))), 574 ^ _99573 : [(575 ^ _99573) ^ [] : [-(571 ^ [_117649, _117651] = 572 ^ [_117649, _117651])], (579 ^ _99573) ^ [] : [-(571 ^ [_117649, _117651] = 573 ^ [_117649, _117651])], (583 ^ _99573) ^ [] : [572 ^ [_117649, _117651] = 573 ^ [_117649, _117651]], (581 ^ _99573) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_117651), 573 ^ [_117649, _117651]), _117649))], (577 ^ _99573) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_117651), 572 ^ [_117649, _117651]), _117649))]], 585 ^ _99573 : [(597 ^ _99573) ^ [_119343] : [-(in(_119343, 584 ^ [_117649, _117651])), 598 ^ _99573 : [(599 ^ _99573) ^ [_119463] : [in(_119463, powerset(the_carrier(_117651))), _119463 = _119343, in(set_difference(cast_as_carrier_subset(_117651), _119343), _117649)]]], (586 ^ _99573) ^ [_118893] : [in(_118893, 584 ^ [_117649, _117651]), 590 ^ _99573 : [(595 ^ _99573) ^ [] : [-(in(set_difference(cast_as_carrier_subset(_117651), _118893), _117649))], (593 ^ _99573) ^ [] : [-(589 ^ [_117649, _117651, _118893] = _118893)], (591 ^ _99573) ^ [] : [-(in(589 ^ [_117649, _117651, _118893], powerset(the_carrier(_117651))))]]]]], (504 ^ _99573) ^ [_116243, _116245] : [in(_116245, _116243), in(_116243, _116245)], (20 ^ _99573) ^ [_100321, _100323] : [-(v1_xcmplx_0(_100321)), _100323 = _100321, v1_xcmplx_0(_100323)], (144 ^ _99573) ^ [_104010, _104012] : [-(empty(_104010)), _104012 = _104010, empty(_104012)], (289 ^ _99573) ^ [_108700] : [v3_membered(_108700), 292 ^ _99573 : [(293 ^ _99573) ^ [_108840] : [element(_108840, _108700), 296 ^ _99573 : [(301 ^ _99573) ^ [] : [-(v1_rat_1(_108840))], (299 ^ _99573) ^ [] : [-(v1_xreal_0(_108840))], (297 ^ _99573) ^ [] : [-(v1_xcmplx_0(_108840))]]]]], (319 ^ _99573) ^ [_109749] : [v5_membered(_109749), 322 ^ _99573 : [(323 ^ _99573) ^ [_109899] : [element(_109899, _109749), 326 ^ _99573 : [(327 ^ _99573) ^ [] : [-(v1_xcmplx_0(_109899))], (331 ^ _99573) ^ [] : [-(v1_xreal_0(_109899))], (335 ^ _99573) ^ [] : [-(v1_rat_1(_109899))], (333 ^ _99573) ^ [] : [-(v1_int_1(_109899))], (329 ^ _99573) ^ [] : [-(natural(_109899))]]]]], (40 ^ _99573) ^ [_100911, _100913] : [-(v1_xreal_0(_100911)), _100913 = _100911, v1_xreal_0(_100913)], (130 ^ _99573) ^ [_103594, _103596, _103598, _103600] : [-(closed_subset(_103598, _103594)), closed_subset(_103600, _103596), _103600 = _103598, _103596 = _103594], (528 ^ _99573) ^ [_116878] : [top_str(_116878), -(one_sorted_str(_116878))], (267 ^ _99573) ^ [_107960] : [v1_membered(_107960), 270 ^ _99573 : [(271 ^ _99573) ^ [_108090] : [element(_108090, _107960), -(v1_xcmplx_0(_108090))]]], (263 ^ _99573) ^ [] : [-(v4_membered(253 ^ []))], (261 ^ _99573) ^ [] : [-(v3_membered(253 ^ []))], (50 ^ _99573) ^ [_101206, _101208] : [-(v1_int_1(_101206)), _101208 = _101206, v1_int_1(_101208)], (188 ^ _99573) ^ [_105347, _105349, _105351, _105353] : [-(in(_105351, _105347)), in(_105353, _105349), _105353 = _105351, _105349 = _105347], (389 ^ _99573) ^ [_112202] : [v5_membered(_112202), 392 ^ _99573 : [(393 ^ _99573) ^ [_112354] : [element(_112354, powerset(_112202)), 396 ^ _99573 : [(397 ^ _99573) ^ [] : [-(v1_membered(_112354))], (401 ^ _99573) ^ [] : [-(v3_membered(_112354))], (405 ^ _99573) ^ [] : [-(v5_membered(_112354))], (403 ^ _99573) ^ [] : [-(v4_membered(_112354))], (399 ^ _99573) ^ [] : [-(v2_membered(_112354))]]]]]], input).
% 43.42/42.79  ncf('1',plain,[-(top_str(610 ^ []))],start(615 ^ 0)).
% 43.42/42.79  ncf('1.1',plain,[top_str(610 ^ []), topological_space(610 ^ []), element(611 ^ [], powerset(powerset(the_carrier(610 ^ [])))), 575 : -(571 ^ [611 ^ [], 610 ^ []] = 572 ^ [611 ^ [], 610 ^ []]), 586 : in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], 584 ^ [611 ^ [], 610 ^ []]), 593 : -(589 ^ [611 ^ [], 610 ^ [], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]] = 618 ^ [584 ^ [611 ^ [], 610 ^ []]])],extension(558 ^ 1,bind([[_117649, _117651, _118893], [611 ^ [], 610 ^ [], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]]]))).
% 43.42/42.79  ncf('1.1.1',plain,[-(topological_space(610 ^ []))],extension(613 ^ 2)).
% 43.42/42.79  ncf('1.1.2',plain,[-(element(611 ^ [], powerset(powerset(the_carrier(610 ^ [])))))],extension(617 ^ 2)).
% 43.42/42.79  ncf('1.1.3',plain,[571 ^ [611 ^ [], 610 ^ []] = 572 ^ [611 ^ [], 610 ^ []], -(573 ^ [611 ^ [], 610 ^ []] = 572 ^ [611 ^ [], 610 ^ []]), 573 ^ [611 ^ [], 610 ^ []] = 571 ^ [611 ^ [], 610 ^ []]],extension(10 ^ 4,bind([[_100008, _100010, _100012], [572 ^ [611 ^ [], 610 ^ []], 571 ^ [611 ^ [], 610 ^ []], 573 ^ [611 ^ [], 610 ^ []]]]))).
% 43.42/42.79  ncf('1.1.3.1',plain,[573 ^ [611 ^ [], 610 ^ []] = 572 ^ [611 ^ [], 610 ^ []], -(572 ^ [611 ^ [], 610 ^ []] = 573 ^ [611 ^ [], 610 ^ []])],extension(4 ^ 5,bind([[_99804, _99806], [572 ^ [611 ^ [], 610 ^ []], 573 ^ [611 ^ [], 610 ^ []]]]))).
% 43.42/42.79  ncf('1.1.3.1.1',plain,[572 ^ [611 ^ [], 610 ^ []] = 573 ^ [611 ^ [], 610 ^ []]],extension(583 ^ 6)).
% 43.42/42.79  ncf('1.1.3.2',plain,[-(573 ^ [611 ^ [], 610 ^ []] = 571 ^ [611 ^ [], 610 ^ []]), 571 ^ [611 ^ [], 610 ^ []] = 573 ^ [611 ^ [], 610 ^ []]],extension(4 ^ 5,bind([[_99804, _99806], [573 ^ [611 ^ [], 610 ^ []], 571 ^ [611 ^ [], 610 ^ []]]]))).
% 43.42/42.79  ncf('1.1.3.2.1',plain,[-(571 ^ [611 ^ [], 610 ^ []] = 573 ^ [611 ^ [], 610 ^ []])],extension(579 ^ 6)).
% 43.42/42.79  ncf('1.1.4',plain,[-(in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], 584 ^ [611 ^ [], 610 ^ []])), 632 : -(in(set_difference(cast_as_carrier_subset(610 ^ []), 618 ^ [584 ^ [611 ^ [], 610 ^ []]]), 611 ^ []))],extension(620 ^ 4,bind([[_120441], [584 ^ [611 ^ [], 610 ^ []]]]))).
% 43.42/42.79  ncf('1.1.4.1',plain,[in(set_difference(cast_as_carrier_subset(610 ^ []), 618 ^ [584 ^ [611 ^ [], 610 ^ []]]), 611 ^ []), 599 : in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], powerset(the_carrier(610 ^ []))), 599 : 618 ^ [584 ^ [611 ^ [], 610 ^ []]] = 618 ^ [584 ^ [611 ^ [], 610 ^ []]], 599 : -(in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], 584 ^ [611 ^ [], 610 ^ []]))],extension(597 ^ 7,bind([[_119343, _119463], [618 ^ [584 ^ [611 ^ [], 610 ^ []]], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]]]))).
% 43.42/42.79  ncf('1.1.4.1.1',plain,[-(in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], powerset(the_carrier(610 ^ []))))],extension(630 ^ 10)).
% 43.42/42.79  ncf('1.1.4.1.2',plain,[-(618 ^ [584 ^ [611 ^ [], 610 ^ []]] = 618 ^ [584 ^ [611 ^ [], 610 ^ []]])],extension(2 ^ 10,bind([[_99697], [618 ^ [584 ^ [611 ^ [], 610 ^ []]]]]))).
% 43.42/42.79  ncf('1.1.4.1.3',plain,[in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], 584 ^ [611 ^ [], 610 ^ []])],reduction('1.1')).
% 43.42/42.79  ncf('1.1.5',plain,[589 ^ [611 ^ [], 610 ^ [], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]] = 618 ^ [584 ^ [611 ^ [], 610 ^ []]], -(in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], powerset(the_carrier(610 ^ [])))), in(589 ^ [611 ^ [], 610 ^ [], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]], powerset(the_carrier(610 ^ []))), powerset(the_carrier(610 ^ [])) = powerset(the_carrier(610 ^ []))],extension(188 ^ 6,bind([[_105347, _105349, _105351, _105353], [powerset(the_carrier(610 ^ [])), powerset(the_carrier(610 ^ [])), 618 ^ [584 ^ [611 ^ [], 610 ^ []]], 589 ^ [611 ^ [], 610 ^ [], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]]]]))).
% 43.42/42.79  ncf('1.1.5.1',plain,[in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], powerset(the_carrier(610 ^ []))), 624 : in(set_difference(cast_as_carrier_subset(610 ^ []), 618 ^ [584 ^ [611 ^ [], 610 ^ []]]), 611 ^ []), 634 : in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], 584 ^ [611 ^ [], 610 ^ []])],extension(620 ^ 7,bind([[_120441], [584 ^ [611 ^ [], 610 ^ []]]]))).
% 43.42/42.79  ncf('1.1.5.1.1',plain,[-(in(set_difference(cast_as_carrier_subset(610 ^ []), 618 ^ [584 ^ [611 ^ [], 610 ^ []]]), 611 ^ []))],extension(595 ^ 10)).
% 43.42/42.79  ncf('1.1.5.1.2',plain,[-(in(618 ^ [584 ^ [611 ^ [], 610 ^ []]], 584 ^ [611 ^ [], 610 ^ []]))],lemmata('[1].x')).
% 43.42/42.79  ncf('1.1.5.2',plain,[-(in(589 ^ [611 ^ [], 610 ^ [], 618 ^ [584 ^ [611 ^ [], 610 ^ []]]], powerset(the_carrier(610 ^ []))))],extension(591 ^ 7)).
% 43.42/42.79  ncf('1.1.5.3',plain,[-(powerset(the_carrier(610 ^ [])) = powerset(the_carrier(610 ^ []))), the_carrier(610 ^ []) = the_carrier(610 ^ [])],extension(202 ^ 7,bind([[_105801, _105803], [the_carrier(610 ^ []), the_carrier(610 ^ [])]]))).
% 43.42/42.79  ncf('1.1.5.3.1',plain,[-(the_carrier(610 ^ []) = the_carrier(610 ^ []))],extension(2 ^ 8,bind([[_99697], [the_carrier(610 ^ [])]]))).
% 43.42/42.79  %-----------------------------------------------------
% 43.42/42.79  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------