%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU337+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 12:03:11 EDT 2023

% Result   : Theorem 9.99s 10.68s
% Output   : Proof 9.99s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU337+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 13:37:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 9.99/10.68  
% 9.99/10.68  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 9.99/10.68  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.99/10.68  %-----------------------------------------------------
% 9.99/10.68  ncf(matrix, plain, [(798 ^ _115981) ^ [] : [-(top_str(796 ^ []))], (801 ^ _115981) ^ [] : [-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))], (803 ^ _115981) ^ [] : [804 ^ _115981 : [(805 ^ _115981) ^ [] : [-(open_subsets(799 ^ [], 796 ^ []))], (807 ^ _115981) ^ [] : [closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [])]], 808 ^ _115981 : [(809 ^ _115981) ^ [] : [-(closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []))], (811 ^ _115981) ^ [] : [open_subsets(799 ^ [], 796 ^ [])]]], (248 ^ _115981) ^ [_123788, _123790, _123792, _123794] : [-(subset_complement(_123794, _123790) = subset_complement(_123792, _123788)), _123794 = _123792, _123790 = _123788], (258 ^ _115981) ^ [_124119, _124121] : [_124121 = _124119, -(powerset(_124121) = powerset(_124119))], (274 ^ _115981) ^ [_124676, _124678] : [_124678 = _124676, -(the_carrier(_124678) = the_carrier(_124676))], (264 ^ _115981) ^ [_124365, _124367, _124369, _124371] : [-(complements_of_subsets(_124371, _124367) = complements_of_subsets(_124369, _124365)), _124371 = _124369, _124367 = _124365], (2 ^ _115981) ^ [_116125] : [-(_116125 = _116125)], (4 ^ _115981) ^ [_116232, _116234] : [_116234 = _116232, -(_116232 = _116234)], (10 ^ _115981) ^ [_116436, _116438, _116440] : [-(_116440 = _116436), _116440 = _116438, _116438 = _116436], (20 ^ _115981) ^ [_116749, _116751] : [-(v1_xcmplx_0(_116749)), _116751 = _116749, v1_xcmplx_0(_116751)], (30 ^ _115981) ^ [_117044, _117046] : [-(natural(_117044)), _117046 = _117044, natural(_117046)], (40 ^ _115981) ^ [_117339, _117341] : [-(v1_xreal_0(_117339)), _117341 = _117339, v1_xreal_0(_117341)], (50 ^ _115981) ^ [_117634, _117636] : [-(v1_int_1(_117634)), _117636 = _117634, v1_int_1(_117636)], (60 ^ _115981) ^ [_117929, _117931] : [-(v1_rat_1(_117929)), _117931 = _117929, v1_rat_1(_117931)], (70 ^ _115981) ^ [_118224, _118226] : [-(one_sorted_str(_118224)), _118226 = _118224, one_sorted_str(_118226)], (80 ^ _115981) ^ [_118519, _118521] : [-(v1_membered(_118519)), _118521 = _118519, v1_membered(_118521)], (90 ^ _115981) ^ [_118814, _118816] : [-(v2_membered(_118814)), _118816 = _118814, v2_membered(_118816)], (100 ^ _115981) ^ [_119109, _119111] : [-(v3_membered(_119109)), _119111 = _119109, v3_membered(_119111)], (110 ^ _115981) ^ [_119404, _119406] : [-(v4_membered(_119404)), _119406 = _119404, v4_membered(_119406)], (120 ^ _115981) ^ [_119699, _119701] : [-(v5_membered(_119699)), _119701 = _119699, v5_membered(_119701)], (130 ^ _115981) ^ [_120022, _120024, _120026, _120028] : [-(open_subset(_120026, _120022)), open_subset(_120028, _120024), _120028 = _120026, _120024 = _120022], (144 ^ _115981) ^ [_120466, _120468, _120470, _120472] : [-(closed_subset(_120470, _120466)), closed_subset(_120472, _120468), _120472 = _120470, _120468 = _120466], (158 ^ _115981) ^ [_120910, _120912, _120914, _120916] : [-(subset(_120914, _120910)), subset(_120916, _120912), _120916 = _120914, _120912 = _120910], (172 ^ _115981) ^ [_121354, _121356, _121358, _121360] : [-(in(_121358, _121354)), in(_121360, _121356), _121360 = _121358, _121356 = _121354], (186 ^ _115981) ^ [_121770, _121772] : [-(empty(_121770)), _121772 = _121770, empty(_121772)], (196 ^ _115981) ^ [_122065, _122067] : [-(top_str(_122065)), _122067 = _122065, top_str(_122067)], (206 ^ _115981) ^ [_122388, _122390, _122392, _122394] : [-(element(_122392, _122388)), element(_122394, _122390), _122394 = _122392, _122390 = _122388], (220 ^ _115981) ^ [_122832, _122834, _122836, _122838] : [-(open_subsets(_122836, _122832)), open_subsets(_122838, _122834), _122838 = _122836, _122834 = _122832], (234 ^ _115981) ^ [_123256, _123258, _123260, _123262] : [-(closed_subsets(_123260, _123256)), closed_subsets(_123262, _123258), _123262 = _123260, _123258 = _123256], (280 ^ _115981) ^ [_124912, _124914] : [in(_124914, _124912), in(_124912, _124914)], (286 ^ _115981) ^ [_125109] : [v1_membered(_125109), 289 ^ _115981 : [(290 ^ _115981) ^ [_125239] : [element(_125239, _125109), -(v1_xcmplx_0(_125239))]]], (296 ^ _115981) ^ [_125440] : [v2_membered(_125440), 299 ^ _115981 : [(300 ^ _115981) ^ [_125575] : [element(_125575, _125440), 303 ^ _115981 : [(304 ^ _115981) ^ [] : [-(v1_xcmplx_0(_125575))], (306 ^ _115981) ^ [] : [-(v1_xreal_0(_125575))]]]]], (308 ^ _115981) ^ [_125849] : [v3_membered(_125849), 311 ^ _115981 : [(312 ^ _115981) ^ [_125989] : [element(_125989, _125849), 315 ^ _115981 : [(316 ^ _115981) ^ [] : [-(v1_xcmplx_0(_125989))], (318 ^ _115981) ^ [] : [-(v1_xreal_0(_125989))], (320 ^ _115981) ^ [] : [-(v1_rat_1(_125989))]]]]], (322 ^ _115981) ^ [_126335] : [v4_membered(_126335), 325 ^ _115981 : [(326 ^ _115981) ^ [_126480] : [element(_126480, _126335), 329 ^ _115981 : [(330 ^ _115981) ^ [] : [-(v1_xcmplx_0(_126480))], (332 ^ _115981) ^ [] : [-(v1_xreal_0(_126480))], (334 ^ _115981) ^ [] : [-(v1_int_1(_126480))], (336 ^ _115981) ^ [] : [-(v1_rat_1(_126480))]]]]], (338 ^ _115981) ^ [_126898] : [v5_membered(_126898), 341 ^ _115981 : [(342 ^ _115981) ^ [_127048] : [element(_127048, _126898), 345 ^ _115981 : [(346 ^ _115981) ^ [] : [-(v1_xcmplx_0(_127048))], (348 ^ _115981) ^ [] : [-(natural(_127048))], (350 ^ _115981) ^ [] : [-(v1_xreal_0(_127048))], (352 ^ _115981) ^ [] : [-(v1_int_1(_127048))], (354 ^ _115981) ^ [] : [-(v1_rat_1(_127048))]]]]], (356 ^ _115981) ^ [_127538] : [empty(_127538), 359 ^ _115981 : [(360 ^ _115981) ^ [] : [-(v1_membered(_127538))], (362 ^ _115981) ^ [] : [-(v2_membered(_127538))], (364 ^ _115981) ^ [] : [-(v3_membered(_127538))], (366 ^ _115981) ^ [] : [-(v4_membered(_127538))], (368 ^ _115981) ^ [] : [-(v5_membered(_127538))]]], (370 ^ _115981) ^ [_128005] : [v1_membered(_128005), 373 ^ _115981 : [(374 ^ _115981) ^ [_128137] : [element(_128137, powerset(_128005)), -(v1_membered(_128137))]]], (380 ^ _115981) ^ [_128342] : [v2_membered(_128342), 383 ^ _115981 : [(384 ^ _115981) ^ [_128479] : [element(_128479, powerset(_128342)), 387 ^ _115981 : [(388 ^ _115981) ^ [] : [-(v1_membered(_128479))], (390 ^ _115981) ^ [] : [-(v2_membered(_128479))]]]]], (392 ^ _115981) ^ [_128757] : [v3_membered(_128757), 395 ^ _115981 : [(396 ^ _115981) ^ [_128899] : [element(_128899, powerset(_128757)), 399 ^ _115981 : [(400 ^ _115981) ^ [] : [-(v1_membered(_128899))], (402 ^ _115981) ^ [] : [-(v2_membered(_128899))], (404 ^ _115981) ^ [] : [-(v3_membered(_128899))]]]]], (406 ^ _115981) ^ [_129249] : [v4_membered(_129249), 409 ^ _115981 : [(410 ^ _115981) ^ [_129396] : [element(_129396, powerset(_129249)), 413 ^ _115981 : [(414 ^ _115981) ^ [] : [-(v1_membered(_129396))], (416 ^ _115981) ^ [] : [-(v2_membered(_129396))], (418 ^ _115981) ^ [] : [-(v3_membered(_129396))], (420 ^ _115981) ^ [] : [-(v4_membered(_129396))]]]]], (422 ^ _115981) ^ [_129818] : [v5_membered(_129818), -(v4_membered(_129818))], (428 ^ _115981) ^ [_130004] : [v5_membered(_130004), 431 ^ _115981 : [(432 ^ _115981) ^ [_130156] : [element(_130156, powerset(_130004)), 435 ^ _115981 : [(436 ^ _115981) ^ [] : [-(v1_membered(_130156))], (438 ^ _115981) ^ [] : [-(v2_membered(_130156))], (440 ^ _115981) ^ [] : [-(v3_membered(_130156))], (442 ^ _115981) ^ [] : [-(v4_membered(_130156))], (444 ^ _115981) ^ [] : [-(v5_membered(_130156))]]]]], (446 ^ _115981) ^ [_130650] : [v4_membered(_130650), -(v3_membered(_130650))], (452 ^ _115981) ^ [_130836] : [v3_membered(_130836), -(v2_membered(_130836))], (458 ^ _115981) ^ [_131022] : [v2_membered(_131022), -(v1_membered(_131022))], (464 ^ _115981) ^ [_131208] : [top_str(_131208), 467 ^ _115981 : [(468 ^ _115981) ^ [_131372] : [element(_131372, powerset(powerset(the_carrier(_131208)))), 471 ^ _115981 : [(486 ^ _115981) ^ [] : [488 ^ _115981 : [(489 ^ _115981) ^ [] : [-(element(487 ^ [_131208, _131372], powerset(the_carrier(_131208))))], (491 ^ _115981) ^ [] : [-(in(487 ^ [_131208, _131372], _131372))], (493 ^ _115981) ^ [] : [open_subset(487 ^ [_131208, _131372], _131208)]], -(open_subsets(_131372, _131208))], (472 ^ _115981) ^ [] : [open_subsets(_131372, _131208), 475 ^ _115981 : [(476 ^ _115981) ^ [_131647] : [element(_131647, powerset(the_carrier(_131208))), in(_131647, _131372), -(open_subset(_131647, _131208))]]]]]]], (497 ^ _115981) ^ [_132323] : [top_str(_132323), 500 ^ _115981 : [(501 ^ _115981) ^ [_132487] : [element(_132487, powerset(powerset(the_carrier(_132323)))), 504 ^ _115981 : [(519 ^ _115981) ^ [] : [521 ^ _115981 : [(522 ^ _115981) ^ [] : [-(element(520 ^ [_132323, _132487], powerset(the_carrier(_132323))))], (524 ^ _115981) ^ [] : [-(in(520 ^ [_132323, _132487], _132487))], (526 ^ _115981) ^ [] : [closed_subset(520 ^ [_132323, _132487], _132323)]], -(closed_subsets(_132487, _132323))], (505 ^ _115981) ^ [] : [closed_subsets(_132487, _132323), 508 ^ _115981 : [(509 ^ _115981) ^ [_132762] : [element(_132762, powerset(the_carrier(_132323))), in(_132762, _132487), -(closed_subset(_132762, _132323))]]]]]]], (530 ^ _115981) ^ [_133452, _133454] : [element(_133452, powerset(powerset(_133454))), 533 ^ _115981 : [(534 ^ _115981) ^ [_133632] : [element(_133632, powerset(powerset(_133454))), 537 ^ _115981 : [(558 ^ _115981) ^ [] : [-(_133632 = complements_of_subsets(_133454, _133452)), 560 ^ _115981 : [(561 ^ _115981) ^ [] : [-(element(559 ^ [_133452, _133454, _133632], powerset(_133454)))], (563 ^ _115981) ^ [] : [564 ^ _115981 : [(565 ^ _115981) ^ [] : [-(in(559 ^ [_133452, _133454, _133632], _133632))], (567 ^ _115981) ^ [] : [in(subset_complement(_133454, 559 ^ [_133452, _133454, _133632]), _133452)]], 568 ^ _115981 : [(569 ^ _115981) ^ [] : [-(in(subset_complement(_133454, 559 ^ [_133452, _133454, _133632]), _133452))], (571 ^ _115981) ^ [] : [in(559 ^ [_133452, _133454, _133632], _133632)]]]]], (538 ^ _115981) ^ [] : [_133632 = complements_of_subsets(_133454, _133452), 541 ^ _115981 : [(542 ^ _115981) ^ [_133920] : [element(_133920, powerset(_133454)), 545 ^ _115981 : [(546 ^ _115981) ^ [] : [in(_133920, _133632), -(in(subset_complement(_133454, _133920), _133452))], (552 ^ _115981) ^ [] : [in(subset_complement(_133454, _133920), _133452), -(in(_133920, _133632))]]]]]]]]], (575 ^ _115981) ^ [] : [true___, -(true___)], (581 ^ _115981) ^ [] : [true___, -(true___)], (587 ^ _115981) ^ [_135252, _135254] : [element(_135252, powerset(_135254)), -(element(subset_complement(_135254, _135252), powerset(_135254)))], (593 ^ _115981) ^ [_135476, _135478] : [element(_135476, powerset(powerset(_135478))), -(element(complements_of_subsets(_135478, _135476), powerset(powerset(_135478))))], (599 ^ _115981) ^ [_135694] : [top_str(_135694), -(one_sorted_str(_135694))], (605 ^ _115981) ^ [] : [true___, -(true___)], (611 ^ _115981) ^ [] : [true___, -(true___)], (617 ^ _115981) ^ [] : [true___, -(true___)], (624 ^ _115981) ^ [] : [-(top_str(622 ^ []))], (627 ^ _115981) ^ [] : [-(one_sorted_str(625 ^ []))], (630 ^ _115981) ^ [_136439] : [-(element(628 ^ [_136439], _136439))], (632 ^ _115981) ^ [_136521] : [empty(powerset(_136521))], (634 ^ _115981) ^ [] : [-(empty(empty_set))], (636 ^ _115981) ^ [] : [-(v1_membered(empty_set))], (638 ^ _115981) ^ [] : [-(v2_membered(empty_set))], (640 ^ _115981) ^ [] : [-(v3_membered(empty_set))], (642 ^ _115981) ^ [] : [-(v4_membered(empty_set))], (644 ^ _115981) ^ [] : [-(v5_membered(empty_set))], (646 ^ _115981) ^ [_136957, _136959] : [element(_136957, powerset(_136959)), -(subset_complement(_136959, subset_complement(_136959, _136957)) = _136957)], (652 ^ _115981) ^ [_137183, _137185] : [element(_137183, powerset(powerset(_137185))), -(complements_of_subsets(_137185, complements_of_subsets(_137185, _137183)) = _137183)], (659 ^ _115981) ^ [] : [empty(657 ^ [])], (661 ^ _115981) ^ [] : [-(v1_membered(657 ^ []))], (663 ^ _115981) ^ [] : [-(v2_membered(657 ^ []))], (665 ^ _115981) ^ [] : [-(v3_membered(657 ^ []))], (667 ^ _115981) ^ [] : [-(v4_membered(657 ^ []))], (669 ^ _115981) ^ [] : [-(v5_membered(657 ^ []))], (671 ^ _115981) ^ [_137789] : [-(empty(_137789)), 675 ^ _115981 : [(676 ^ _115981) ^ [] : [-(element(674 ^ [_137789], powerset(_137789)))], (678 ^ _115981) ^ [] : [empty(674 ^ [_137789])]]], (681 ^ _115981) ^ [_138172] : [-(element(679 ^ [_138172], powerset(_138172)))], (683 ^ _115981) ^ [_138223] : [-(empty(679 ^ [_138223]))], (685 ^ _115981) ^ [_138321, _138323] : [-(subset(_138323, _138323))], (687 ^ _115981) ^ [_138430, _138432] : [in(_138432, _138430), -(element(_138432, _138430))], (693 ^ _115981) ^ [_138626] : [top_str(_138626), 696 ^ _115981 : [(697 ^ _115981) ^ [_138772] : [element(_138772, powerset(the_carrier(_138626))), 700 ^ _115981 : [(701 ^ _115981) ^ [] : [closed_subset(_138772, _138626), -(open_subset(subset_complement(the_carrier(_138626), _138772), _138626))], (707 ^ _115981) ^ [] : [open_subset(subset_complement(the_carrier(_138626), _138772), _138626), -(closed_subset(_138772, _138626))]]]]], (713 ^ _115981) ^ [_139262, _139264] : [element(_139264, _139262), -(empty(_139262)), -(in(_139264, _139262))], (723 ^ _115981) ^ [_139546] : [top_str(_139546), 726 ^ _115981 : [(727 ^ _115981) ^ [_139692] : [element(_139692, powerset(the_carrier(_139546))), 730 ^ _115981 : [(731 ^ _115981) ^ [] : [open_subset(_139692, _139546), -(closed_subset(subset_complement(the_carrier(_139546), _139692), _139546))], (737 ^ _115981) ^ [] : [closed_subset(subset_complement(the_carrier(_139546), _139692), _139546), -(open_subset(_139692, _139546))]]]]], (743 ^ _115981) ^ [_140211, _140213] : [element(_140213, powerset(_140211)), -(subset(_140213, _140211))], (749 ^ _115981) ^ [_140377, _140379] : [subset(_140379, _140377), -(element(_140379, powerset(_140377)))], (755 ^ _115981) ^ [_140607, _140609, _140611] : [-(element(_140611, _140607)), in(_140611, _140609), element(_140609, powerset(_140607))], (765 ^ _115981) ^ [_140934, _140936, _140938] : [in(_140938, _140936), element(_140936, powerset(_140934)), empty(_140934)], (775 ^ _115981) ^ [_141230] : [empty(_141230), -(_141230 = empty_set)], (781 ^ _115981) ^ [_141432, _141434] : [in(_141434, _141432), empty(_141432)], (787 ^ _115981) ^ [_141619, _141621] : [empty(_141621), -(_141621 = _141619), empty(_141619)]], input).
% 9.99/10.68  ncf('1',plain,[807 : closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []), 811 : open_subsets(799 ^ [], 796 ^ [])],start(803 ^ 0)).
% 9.99/10.68  ncf('1.1',plain,[-(closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [])), closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []) = complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [] = 796 ^ []],extension(234 ^ 3,bind([[_123256, _123258, _123260, _123262], [796 ^ [], 796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]))).
% 9.99/10.68  ncf('1.1.1',plain,[-(closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [])), 522 : -(element(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ [])))), 519 : element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ [])))), 501 : top_str(796 ^ [])],extension(497 ^ 4,bind([[_132323, _132487], [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]))).
% 9.99/10.68  ncf('1.1.1.1',plain,[element(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))), -(element(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), powerset(the_carrier(796 ^ []))))],extension(587 ^ 11,bind([[_135252, _135254], [520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.1.1.1.1',plain,[element(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), powerset(the_carrier(796 ^ []))), 476 : in(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 799 ^ []), 476 : -(open_subset(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 796 ^ [])), 476 : open_subsets(799 ^ [], 796 ^ []), 472 : element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))), 468 : top_str(796 ^ [])],extension(464 ^ 12,bind([[_131208, _131372, _131647], [796 ^ [], 799 ^ [], subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])])]]))).
% 9.99/10.68  ncf('1.1.1.1.1.1',plain,[-(in(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 799 ^ [])), 546 : in(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])), 546 : element(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))), 542 : complements_of_subsets(the_carrier(796 ^ []), 799 ^ []) = complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 538 : element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ [])))), 534 : element(799 ^ [], powerset(powerset(the_carrier(796 ^ []))))],extension(530 ^ 19,bind([[_133452, _133454, _133632, _133920], [799 ^ [], the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]]))).
% 9.99/10.68  ncf('1.1.1.1.1.1.1',plain,[-(in(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])))],extension(524 ^ 28)).
% 9.99/10.68  ncf('1.1.1.1.1.1.2',plain,[-(element(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))))],reduction('1.1.1')).
% 9.99/10.68  ncf('1.1.1.1.1.1.3',plain,[-(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []) = complements_of_subsets(the_carrier(796 ^ []), 799 ^ []))],extension(2 ^ 24,bind([[_116125], [complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]))).
% 9.99/10.68  ncf('1.1.1.1.1.1.4',plain,[-(element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ []))))), element(799 ^ [], powerset(powerset(the_carrier(796 ^ []))))],extension(593 ^ 22,bind([[_135476, _135478], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.1.1.1.1.1.4.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 23)).
% 9.99/10.68  ncf('1.1.1.1.1.1.5',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 20)).
% 9.99/10.68  ncf('1.1.1.1.1.2',plain,[open_subset(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 796 ^ []), 707 : -(closed_subset(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], 796 ^ [])), 707 : element(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))), 697 : top_str(796 ^ [])],extension(693 ^ 19,bind([[_138626, _138772], [796 ^ [], 520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]]))).
% 9.99/10.68  ncf('1.1.1.1.1.2.1',plain,[closed_subset(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], 796 ^ [])],extension(526 ^ 24)).
% 9.99/10.68  ncf('1.1.1.1.1.2.2',plain,[-(element(520 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))))],reduction('1.1.1')).
% 9.99/10.68  ncf('1.1.1.1.1.2.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 20)).
% 9.99/10.68  ncf('1.1.1.1.1.3',plain,[-(open_subsets(799 ^ [], 796 ^ []))],extension(805 ^ 17)).
% 9.99/10.68  ncf('1.1.1.1.1.4',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 15)).
% 9.99/10.68  ncf('1.1.1.1.1.5',plain,[-(top_str(796 ^ []))],extension(798 ^ 13)).
% 9.99/10.68  ncf('1.1.1.2',plain,[-(element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ []))))), element(799 ^ [], powerset(powerset(the_carrier(796 ^ []))))],extension(593 ^ 7,bind([[_135476, _135478], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.1.1.2.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 8)).
% 9.99/10.68  ncf('1.1.1.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 5)).
% 9.99/10.68  ncf('1.1.2',plain,[-(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []) = complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])), the_carrier(796 ^ []) = the_carrier(796 ^ []), 799 ^ [] = 799 ^ []],extension(264 ^ 4,bind([[_124365, _124367, _124369, _124371], [799 ^ [], 799 ^ [], the_carrier(796 ^ []), the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.1.2.1',plain,[-(the_carrier(796 ^ []) = the_carrier(796 ^ [])), 796 ^ [] = 796 ^ []],extension(274 ^ 5,bind([[_124676, _124678], [796 ^ [], 796 ^ []]]))).
% 9.99/10.68  ncf('1.1.2.1.1',plain,[-(796 ^ [] = 796 ^ [])],extension(2 ^ 6,bind([[_116125], [796 ^ []]]))).
% 9.99/10.68  ncf('1.1.2.2',plain,[-(799 ^ [] = 799 ^ [])],extension(2 ^ 5,bind([[_116125], [799 ^ []]]))).
% 9.99/10.68  ncf('1.1.3',plain,[-(796 ^ [] = 796 ^ [])],extension(2 ^ 4,bind([[_116125], [796 ^ []]]))).
% 9.99/10.68  ncf('1.2',plain,[-(open_subsets(799 ^ [], 796 ^ [])), 489 : -(element(487 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ [])))), 486 : element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))), 468 : top_str(796 ^ [])],extension(464 ^ 3,bind([[_131208, _131372], [796 ^ [], 799 ^ []]]))).
% 9.99/10.68  ncf('1.2.1',plain,[element(487 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))), -(element(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), powerset(the_carrier(796 ^ []))))],extension(587 ^ 10,bind([[_135252, _135254], [487 ^ [796 ^ [], 799 ^ []], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.2.1.1',plain,[element(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), powerset(the_carrier(796 ^ []))), 509 : in(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])), 509 : -(closed_subset(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), 796 ^ [])), 509 : closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []), 505 : element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ [])))), 501 : top_str(796 ^ [])],extension(497 ^ 11,bind([[_132323, _132487, _132762], [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []])]]))).
% 9.99/10.68  ncf('1.2.1.1.1',plain,[-(in(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []))), 546 : in(487 ^ [796 ^ [], 799 ^ []], 799 ^ []), 546 : element(487 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))), 542 : 799 ^ [] = complements_of_subsets(the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])), 538 : element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))), 534 : element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ []))))],extension(530 ^ 18,bind([[_133452, _133454, _133632, _133920], [complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), the_carrier(796 ^ []), 799 ^ [], 487 ^ [796 ^ [], 799 ^ []]]]))).
% 9.99/10.68  ncf('1.2.1.1.1.1',plain,[-(in(487 ^ [796 ^ [], 799 ^ []], 799 ^ [])), in(487 ^ [796 ^ [], 799 ^ []], 799 ^ []), 487 ^ [796 ^ [], 799 ^ []] = 487 ^ [796 ^ [], 799 ^ []], 799 ^ [] = 799 ^ []],extension(172 ^ 27,bind([[_121354, _121356, _121358, _121360], [799 ^ [], 799 ^ [], 487 ^ [796 ^ [], 799 ^ []], 487 ^ [796 ^ [], 799 ^ []]]]))).
% 9.99/10.68  ncf('1.2.1.1.1.1.1',plain,[-(in(487 ^ [796 ^ [], 799 ^ []], 799 ^ []))],extension(491 ^ 28)).
% 9.99/10.68  ncf('1.2.1.1.1.1.2',plain,[-(487 ^ [796 ^ [], 799 ^ []] = 487 ^ [796 ^ [], 799 ^ []])],extension(2 ^ 28,bind([[_116125], [487 ^ [796 ^ [], 799 ^ []]]]))).
% 9.99/10.68  ncf('1.2.1.1.1.1.3',plain,[-(799 ^ [] = 799 ^ [])],extension(2 ^ 28,bind([[_116125], [799 ^ []]]))).
% 9.99/10.68  ncf('1.2.1.1.1.2',plain,[-(element(487 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))))],reduction('1.2')).
% 9.99/10.68  ncf('1.2.1.1.1.3',plain,[-(799 ^ [] = complements_of_subsets(the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []))), complements_of_subsets(the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])) = 799 ^ []],extension(4 ^ 23,bind([[_116232, _116234], [799 ^ [], complements_of_subsets(the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []))]]))).
% 9.99/10.68  ncf('1.2.1.1.1.3.1',plain,[-(complements_of_subsets(the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])) = 799 ^ []), element(799 ^ [], powerset(powerset(the_carrier(796 ^ []))))],extension(652 ^ 24,bind([[_137183, _137185], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.2.1.1.1.3.1.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 25)).
% 9.99/10.68  ncf('1.2.1.1.1.4',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 21)).
% 9.99/10.68  ncf('1.2.1.1.1.5',plain,[-(element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ []))))), element(799 ^ [], powerset(powerset(the_carrier(796 ^ []))))],extension(593 ^ 19,bind([[_135476, _135478], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.2.1.1.1.5.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 20)).
% 9.99/10.68  ncf('1.2.1.1.2',plain,[closed_subset(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), 796 ^ []), -(closed_subset(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), 796 ^ [])), subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]) = subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), 796 ^ [] = 796 ^ []],extension(144 ^ 18,bind([[_120466, _120468, _120470, _120472], [796 ^ [], 796 ^ [], subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []])]]))).
% 9.99/10.68  ncf('1.2.1.1.2.1',plain,[closed_subset(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]), 796 ^ []), 737 : -(open_subset(487 ^ [796 ^ [], 799 ^ []], 796 ^ [])), 737 : element(487 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))), 727 : top_str(796 ^ [])],extension(723 ^ 19,bind([[_139546, _139692], [796 ^ [], 487 ^ [796 ^ [], 799 ^ []]]]))).
% 9.99/10.68  ncf('1.2.1.1.2.1.1',plain,[open_subset(487 ^ [796 ^ [], 799 ^ []], 796 ^ [])],extension(493 ^ 24)).
% 9.99/10.68  ncf('1.2.1.1.2.1.2',plain,[-(element(487 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))))],reduction('1.2')).
% 9.99/10.68  ncf('1.2.1.1.2.1.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 20)).
% 9.99/10.68  ncf('1.2.1.1.2.2',plain,[-(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []]) = subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []])), the_carrier(796 ^ []) = the_carrier(796 ^ []), 487 ^ [796 ^ [], 799 ^ []] = 487 ^ [796 ^ [], 799 ^ []]],extension(248 ^ 19,bind([[_123788, _123790, _123792, _123794], [487 ^ [796 ^ [], 799 ^ []], 487 ^ [796 ^ [], 799 ^ []], the_carrier(796 ^ []), the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.2.1.1.2.2.1',plain,[-(the_carrier(796 ^ []) = the_carrier(796 ^ []))],extension(2 ^ 20,bind([[_116125], [the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.2.1.1.2.2.2',plain,[-(487 ^ [796 ^ [], 799 ^ []] = 487 ^ [796 ^ [], 799 ^ []])],extension(2 ^ 20,bind([[_116125], [487 ^ [796 ^ [], 799 ^ []]]]))).
% 9.99/10.68  ncf('1.2.1.1.2.3',plain,[-(796 ^ [] = 796 ^ [])],extension(2 ^ 19,bind([[_116125], [796 ^ []]]))).
% 9.99/10.68  ncf('1.2.1.1.3',plain,[-(closed_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []))],extension(809 ^ 16)).
% 9.99/10.68  ncf('1.2.1.1.4',plain,[-(element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ []))))), element(799 ^ [], powerset(powerset(the_carrier(796 ^ []))))],extension(593 ^ 14,bind([[_135476, _135478], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.99/10.68  ncf('1.2.1.1.4.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 15)).
% 9.99/10.68  ncf('1.2.1.1.5',plain,[-(top_str(796 ^ []))],extension(798 ^ 12)).
% 9.99/10.68  ncf('1.2.2',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 6)).
% 9.99/10.68  ncf('1.2.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 4)).
% 9.99/10.68  %-----------------------------------------------------
% 9.99/10.68  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------