%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n023.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 9.92s 10.68s
% Output   : Proof 9.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SEU336+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n023.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 13:45:14 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 9.92/10.68  
% 9.92/10.68  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 9.92/10.68  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.92/10.68  %-----------------------------------------------------
% 9.92/10.68  ncf(matrix, plain, [(798 ^ _115977) ^ [] : [-(top_str(796 ^ []))], (801 ^ _115977) ^ [] : [-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))], (803 ^ _115977) ^ [] : [804 ^ _115977 : [(805 ^ _115977) ^ [] : [-(closed_subsets(799 ^ [], 796 ^ []))], (807 ^ _115977) ^ [] : [open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [])]], 808 ^ _115977 : [(809 ^ _115977) ^ [] : [-(open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []))], (811 ^ _115977) ^ [] : [closed_subsets(799 ^ [], 796 ^ [])]]], (248 ^ _115977) ^ [_123784, _123786, _123788, _123790] : [-(subset_complement(_123790, _123786) = subset_complement(_123788, _123784)), _123790 = _123788, _123786 = _123784], (258 ^ _115977) ^ [_124115, _124117] : [_124117 = _124115, -(powerset(_124117) = powerset(_124115))], (274 ^ _115977) ^ [_124672, _124674] : [_124674 = _124672, -(the_carrier(_124674) = the_carrier(_124672))], (264 ^ _115977) ^ [_124361, _124363, _124365, _124367] : [-(complements_of_subsets(_124367, _124363) = complements_of_subsets(_124365, _124361)), _124367 = _124365, _124363 = _124361], (2 ^ _115977) ^ [_116121] : [-(_116121 = _116121)], (4 ^ _115977) ^ [_116228, _116230] : [_116230 = _116228, -(_116228 = _116230)], (10 ^ _115977) ^ [_116432, _116434, _116436] : [-(_116436 = _116432), _116436 = _116434, _116434 = _116432], (20 ^ _115977) ^ [_116745, _116747] : [-(v1_xcmplx_0(_116745)), _116747 = _116745, v1_xcmplx_0(_116747)], (30 ^ _115977) ^ [_117040, _117042] : [-(natural(_117040)), _117042 = _117040, natural(_117042)], (40 ^ _115977) ^ [_117335, _117337] : [-(v1_xreal_0(_117335)), _117337 = _117335, v1_xreal_0(_117337)], (50 ^ _115977) ^ [_117630, _117632] : [-(v1_int_1(_117630)), _117632 = _117630, v1_int_1(_117632)], (60 ^ _115977) ^ [_117925, _117927] : [-(v1_rat_1(_117925)), _117927 = _117925, v1_rat_1(_117927)], (70 ^ _115977) ^ [_118220, _118222] : [-(one_sorted_str(_118220)), _118222 = _118220, one_sorted_str(_118222)], (80 ^ _115977) ^ [_118515, _118517] : [-(v1_membered(_118515)), _118517 = _118515, v1_membered(_118517)], (90 ^ _115977) ^ [_118810, _118812] : [-(v2_membered(_118810)), _118812 = _118810, v2_membered(_118812)], (100 ^ _115977) ^ [_119105, _119107] : [-(v3_membered(_119105)), _119107 = _119105, v3_membered(_119107)], (110 ^ _115977) ^ [_119400, _119402] : [-(v4_membered(_119400)), _119402 = _119400, v4_membered(_119402)], (120 ^ _115977) ^ [_119695, _119697] : [-(v5_membered(_119695)), _119697 = _119695, v5_membered(_119697)], (130 ^ _115977) ^ [_120018, _120020, _120022, _120024] : [-(open_subset(_120022, _120018)), open_subset(_120024, _120020), _120024 = _120022, _120020 = _120018], (144 ^ _115977) ^ [_120462, _120464, _120466, _120468] : [-(closed_subset(_120466, _120462)), closed_subset(_120468, _120464), _120468 = _120466, _120464 = _120462], (158 ^ _115977) ^ [_120906, _120908, _120910, _120912] : [-(subset(_120910, _120906)), subset(_120912, _120908), _120912 = _120910, _120908 = _120906], (172 ^ _115977) ^ [_121350, _121352, _121354, _121356] : [-(in(_121354, _121350)), in(_121356, _121352), _121356 = _121354, _121352 = _121350], (186 ^ _115977) ^ [_121766, _121768] : [-(empty(_121766)), _121768 = _121766, empty(_121768)], (196 ^ _115977) ^ [_122061, _122063] : [-(top_str(_122061)), _122063 = _122061, top_str(_122063)], (206 ^ _115977) ^ [_122384, _122386, _122388, _122390] : [-(element(_122388, _122384)), element(_122390, _122386), _122390 = _122388, _122386 = _122384], (220 ^ _115977) ^ [_122828, _122830, _122832, _122834] : [-(closed_subsets(_122832, _122828)), closed_subsets(_122834, _122830), _122834 = _122832, _122830 = _122828], (234 ^ _115977) ^ [_123252, _123254, _123256, _123258] : [-(open_subsets(_123256, _123252)), open_subsets(_123258, _123254), _123258 = _123256, _123254 = _123252], (280 ^ _115977) ^ [_124908, _124910] : [in(_124910, _124908), in(_124908, _124910)], (286 ^ _115977) ^ [_125105] : [v1_membered(_125105), 289 ^ _115977 : [(290 ^ _115977) ^ [_125235] : [element(_125235, _125105), -(v1_xcmplx_0(_125235))]]], (296 ^ _115977) ^ [_125436] : [v2_membered(_125436), 299 ^ _115977 : [(300 ^ _115977) ^ [_125571] : [element(_125571, _125436), 303 ^ _115977 : [(304 ^ _115977) ^ [] : [-(v1_xcmplx_0(_125571))], (306 ^ _115977) ^ [] : [-(v1_xreal_0(_125571))]]]]], (308 ^ _115977) ^ [_125845] : [v3_membered(_125845), 311 ^ _115977 : [(312 ^ _115977) ^ [_125985] : [element(_125985, _125845), 315 ^ _115977 : [(316 ^ _115977) ^ [] : [-(v1_xcmplx_0(_125985))], (318 ^ _115977) ^ [] : [-(v1_xreal_0(_125985))], (320 ^ _115977) ^ [] : [-(v1_rat_1(_125985))]]]]], (322 ^ _115977) ^ [_126331] : [v4_membered(_126331), 325 ^ _115977 : [(326 ^ _115977) ^ [_126476] : [element(_126476, _126331), 329 ^ _115977 : [(330 ^ _115977) ^ [] : [-(v1_xcmplx_0(_126476))], (332 ^ _115977) ^ [] : [-(v1_xreal_0(_126476))], (334 ^ _115977) ^ [] : [-(v1_int_1(_126476))], (336 ^ _115977) ^ [] : [-(v1_rat_1(_126476))]]]]], (338 ^ _115977) ^ [_126894] : [v5_membered(_126894), 341 ^ _115977 : [(342 ^ _115977) ^ [_127044] : [element(_127044, _126894), 345 ^ _115977 : [(346 ^ _115977) ^ [] : [-(v1_xcmplx_0(_127044))], (348 ^ _115977) ^ [] : [-(natural(_127044))], (350 ^ _115977) ^ [] : [-(v1_xreal_0(_127044))], (352 ^ _115977) ^ [] : [-(v1_int_1(_127044))], (354 ^ _115977) ^ [] : [-(v1_rat_1(_127044))]]]]], (356 ^ _115977) ^ [_127534] : [empty(_127534), 359 ^ _115977 : [(360 ^ _115977) ^ [] : [-(v1_membered(_127534))], (362 ^ _115977) ^ [] : [-(v2_membered(_127534))], (364 ^ _115977) ^ [] : [-(v3_membered(_127534))], (366 ^ _115977) ^ [] : [-(v4_membered(_127534))], (368 ^ _115977) ^ [] : [-(v5_membered(_127534))]]], (370 ^ _115977) ^ [_128001] : [v1_membered(_128001), 373 ^ _115977 : [(374 ^ _115977) ^ [_128133] : [element(_128133, powerset(_128001)), -(v1_membered(_128133))]]], (380 ^ _115977) ^ [_128338] : [v2_membered(_128338), 383 ^ _115977 : [(384 ^ _115977) ^ [_128475] : [element(_128475, powerset(_128338)), 387 ^ _115977 : [(388 ^ _115977) ^ [] : [-(v1_membered(_128475))], (390 ^ _115977) ^ [] : [-(v2_membered(_128475))]]]]], (392 ^ _115977) ^ [_128753] : [v3_membered(_128753), 395 ^ _115977 : [(396 ^ _115977) ^ [_128895] : [element(_128895, powerset(_128753)), 399 ^ _115977 : [(400 ^ _115977) ^ [] : [-(v1_membered(_128895))], (402 ^ _115977) ^ [] : [-(v2_membered(_128895))], (404 ^ _115977) ^ [] : [-(v3_membered(_128895))]]]]], (406 ^ _115977) ^ [_129245] : [v4_membered(_129245), 409 ^ _115977 : [(410 ^ _115977) ^ [_129392] : [element(_129392, powerset(_129245)), 413 ^ _115977 : [(414 ^ _115977) ^ [] : [-(v1_membered(_129392))], (416 ^ _115977) ^ [] : [-(v2_membered(_129392))], (418 ^ _115977) ^ [] : [-(v3_membered(_129392))], (420 ^ _115977) ^ [] : [-(v4_membered(_129392))]]]]], (422 ^ _115977) ^ [_129814] : [v5_membered(_129814), -(v4_membered(_129814))], (428 ^ _115977) ^ [_130000] : [v5_membered(_130000), 431 ^ _115977 : [(432 ^ _115977) ^ [_130152] : [element(_130152, powerset(_130000)), 435 ^ _115977 : [(436 ^ _115977) ^ [] : [-(v1_membered(_130152))], (438 ^ _115977) ^ [] : [-(v2_membered(_130152))], (440 ^ _115977) ^ [] : [-(v3_membered(_130152))], (442 ^ _115977) ^ [] : [-(v4_membered(_130152))], (444 ^ _115977) ^ [] : [-(v5_membered(_130152))]]]]], (446 ^ _115977) ^ [_130646] : [v4_membered(_130646), -(v3_membered(_130646))], (452 ^ _115977) ^ [_130832] : [v3_membered(_130832), -(v2_membered(_130832))], (458 ^ _115977) ^ [_131018] : [v2_membered(_131018), -(v1_membered(_131018))], (464 ^ _115977) ^ [_131204] : [top_str(_131204), 467 ^ _115977 : [(468 ^ _115977) ^ [_131368] : [element(_131368, powerset(powerset(the_carrier(_131204)))), 471 ^ _115977 : [(486 ^ _115977) ^ [] : [488 ^ _115977 : [(489 ^ _115977) ^ [] : [-(element(487 ^ [_131204, _131368], powerset(the_carrier(_131204))))], (491 ^ _115977) ^ [] : [-(in(487 ^ [_131204, _131368], _131368))], (493 ^ _115977) ^ [] : [open_subset(487 ^ [_131204, _131368], _131204)]], -(open_subsets(_131368, _131204))], (472 ^ _115977) ^ [] : [open_subsets(_131368, _131204), 475 ^ _115977 : [(476 ^ _115977) ^ [_131643] : [element(_131643, powerset(the_carrier(_131204))), in(_131643, _131368), -(open_subset(_131643, _131204))]]]]]]], (497 ^ _115977) ^ [_132319] : [top_str(_132319), 500 ^ _115977 : [(501 ^ _115977) ^ [_132483] : [element(_132483, powerset(powerset(the_carrier(_132319)))), 504 ^ _115977 : [(519 ^ _115977) ^ [] : [521 ^ _115977 : [(522 ^ _115977) ^ [] : [-(element(520 ^ [_132319, _132483], powerset(the_carrier(_132319))))], (524 ^ _115977) ^ [] : [-(in(520 ^ [_132319, _132483], _132483))], (526 ^ _115977) ^ [] : [closed_subset(520 ^ [_132319, _132483], _132319)]], -(closed_subsets(_132483, _132319))], (505 ^ _115977) ^ [] : [closed_subsets(_132483, _132319), 508 ^ _115977 : [(509 ^ _115977) ^ [_132758] : [element(_132758, powerset(the_carrier(_132319))), in(_132758, _132483), -(closed_subset(_132758, _132319))]]]]]]], (530 ^ _115977) ^ [_133448, _133450] : [element(_133448, powerset(powerset(_133450))), 533 ^ _115977 : [(534 ^ _115977) ^ [_133628] : [element(_133628, powerset(powerset(_133450))), 537 ^ _115977 : [(558 ^ _115977) ^ [] : [-(_133628 = complements_of_subsets(_133450, _133448)), 560 ^ _115977 : [(561 ^ _115977) ^ [] : [-(element(559 ^ [_133448, _133450, _133628], powerset(_133450)))], (563 ^ _115977) ^ [] : [564 ^ _115977 : [(565 ^ _115977) ^ [] : [-(in(559 ^ [_133448, _133450, _133628], _133628))], (567 ^ _115977) ^ [] : [in(subset_complement(_133450, 559 ^ [_133448, _133450, _133628]), _133448)]], 568 ^ _115977 : [(569 ^ _115977) ^ [] : [-(in(subset_complement(_133450, 559 ^ [_133448, _133450, _133628]), _133448))], (571 ^ _115977) ^ [] : [in(559 ^ [_133448, _133450, _133628], _133628)]]]]], (538 ^ _115977) ^ [] : [_133628 = complements_of_subsets(_133450, _133448), 541 ^ _115977 : [(542 ^ _115977) ^ [_133916] : [element(_133916, powerset(_133450)), 545 ^ _115977 : [(546 ^ _115977) ^ [] : [in(_133916, _133628), -(in(subset_complement(_133450, _133916), _133448))], (552 ^ _115977) ^ [] : [in(subset_complement(_133450, _133916), _133448), -(in(_133916, _133628))]]]]]]]]], (575 ^ _115977) ^ [] : [true___, -(true___)], (581 ^ _115977) ^ [] : [true___, -(true___)], (587 ^ _115977) ^ [_135248, _135250] : [element(_135248, powerset(_135250)), -(element(subset_complement(_135250, _135248), powerset(_135250)))], (593 ^ _115977) ^ [_135472, _135474] : [element(_135472, powerset(powerset(_135474))), -(element(complements_of_subsets(_135474, _135472), powerset(powerset(_135474))))], (599 ^ _115977) ^ [_135690] : [top_str(_135690), -(one_sorted_str(_135690))], (605 ^ _115977) ^ [] : [true___, -(true___)], (611 ^ _115977) ^ [] : [true___, -(true___)], (617 ^ _115977) ^ [] : [true___, -(true___)], (624 ^ _115977) ^ [] : [-(top_str(622 ^ []))], (627 ^ _115977) ^ [] : [-(one_sorted_str(625 ^ []))], (630 ^ _115977) ^ [_136435] : [-(element(628 ^ [_136435], _136435))], (632 ^ _115977) ^ [_136517] : [empty(powerset(_136517))], (634 ^ _115977) ^ [] : [-(empty(empty_set))], (636 ^ _115977) ^ [] : [-(v1_membered(empty_set))], (638 ^ _115977) ^ [] : [-(v2_membered(empty_set))], (640 ^ _115977) ^ [] : [-(v3_membered(empty_set))], (642 ^ _115977) ^ [] : [-(v4_membered(empty_set))], (644 ^ _115977) ^ [] : [-(v5_membered(empty_set))], (646 ^ _115977) ^ [_136953, _136955] : [element(_136953, powerset(_136955)), -(subset_complement(_136955, subset_complement(_136955, _136953)) = _136953)], (652 ^ _115977) ^ [_137179, _137181] : [element(_137179, powerset(powerset(_137181))), -(complements_of_subsets(_137181, complements_of_subsets(_137181, _137179)) = _137179)], (659 ^ _115977) ^ [] : [empty(657 ^ [])], (661 ^ _115977) ^ [] : [-(v1_membered(657 ^ []))], (663 ^ _115977) ^ [] : [-(v2_membered(657 ^ []))], (665 ^ _115977) ^ [] : [-(v3_membered(657 ^ []))], (667 ^ _115977) ^ [] : [-(v4_membered(657 ^ []))], (669 ^ _115977) ^ [] : [-(v5_membered(657 ^ []))], (671 ^ _115977) ^ [_137785] : [-(empty(_137785)), 675 ^ _115977 : [(676 ^ _115977) ^ [] : [-(element(674 ^ [_137785], powerset(_137785)))], (678 ^ _115977) ^ [] : [empty(674 ^ [_137785])]]], (681 ^ _115977) ^ [_138168] : [-(element(679 ^ [_138168], powerset(_138168)))], (683 ^ _115977) ^ [_138219] : [-(empty(679 ^ [_138219]))], (685 ^ _115977) ^ [_138317, _138319] : [-(subset(_138319, _138319))], (687 ^ _115977) ^ [_138426, _138428] : [in(_138428, _138426), -(element(_138428, _138426))], (693 ^ _115977) ^ [_138622] : [top_str(_138622), 696 ^ _115977 : [(697 ^ _115977) ^ [_138768] : [element(_138768, powerset(the_carrier(_138622))), 700 ^ _115977 : [(701 ^ _115977) ^ [] : [closed_subset(_138768, _138622), -(open_subset(subset_complement(the_carrier(_138622), _138768), _138622))], (707 ^ _115977) ^ [] : [open_subset(subset_complement(the_carrier(_138622), _138768), _138622), -(closed_subset(_138768, _138622))]]]]], (713 ^ _115977) ^ [_139258, _139260] : [element(_139260, _139258), -(empty(_139258)), -(in(_139260, _139258))], (723 ^ _115977) ^ [_139542] : [top_str(_139542), 726 ^ _115977 : [(727 ^ _115977) ^ [_139688] : [element(_139688, powerset(the_carrier(_139542))), 730 ^ _115977 : [(731 ^ _115977) ^ [] : [open_subset(_139688, _139542), -(closed_subset(subset_complement(the_carrier(_139542), _139688), _139542))], (737 ^ _115977) ^ [] : [closed_subset(subset_complement(the_carrier(_139542), _139688), _139542), -(open_subset(_139688, _139542))]]]]], (743 ^ _115977) ^ [_140207, _140209] : [element(_140209, powerset(_140207)), -(subset(_140209, _140207))], (749 ^ _115977) ^ [_140373, _140375] : [subset(_140375, _140373), -(element(_140375, powerset(_140373)))], (755 ^ _115977) ^ [_140603, _140605, _140607] : [-(element(_140607, _140603)), in(_140607, _140605), element(_140605, powerset(_140603))], (765 ^ _115977) ^ [_140930, _140932, _140934] : [in(_140934, _140932), element(_140932, powerset(_140930)), empty(_140930)], (775 ^ _115977) ^ [_141226] : [empty(_141226), -(_141226 = empty_set)], (781 ^ _115977) ^ [_141428, _141430] : [in(_141430, _141428), empty(_141428)], (787 ^ _115977) ^ [_141615, _141617] : [empty(_141617), -(_141617 = _141615), empty(_141615)]], input).
% 9.92/10.68  ncf('1',plain,[807 : open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []), 811 : closed_subsets(799 ^ [], 796 ^ [])],start(803 ^ 0)).
% 9.92/10.68  ncf('1.1',plain,[-(open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [])), open_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([[_123252, _123254, _123256, _123258], [796 ^ [], 796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]))).
% 9.92/10.68  ncf('1.1.1',plain,[-(open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ [])), 489 : -(element(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ [])))), 486 : element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ [])))), 468 : top_str(796 ^ [])],extension(464 ^ 4,bind([[_131204, _131368], [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]))).
% 9.92/10.68  ncf('1.1.1.1',plain,[element(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))), -(element(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), powerset(the_carrier(796 ^ []))))],extension(587 ^ 11,bind([[_135248, _135250], [487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.1.1.1.1',plain,[element(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), powerset(the_carrier(796 ^ []))), 509 : in(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 799 ^ []), 509 : -(closed_subset(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 796 ^ [])), 509 : closed_subsets(799 ^ [], 796 ^ []), 505 : element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))), 501 : top_str(796 ^ [])],extension(497 ^ 12,bind([[_132319, _132483, _132758], [796 ^ [], 799 ^ [], subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])])]]))).
% 9.92/10.68  ncf('1.1.1.1.1.1',plain,[-(in(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 799 ^ [])), 546 : in(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])), 546 : element(487 ^ [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([[_133448, _133450, _133628, _133916], [799 ^ [], the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]]))).
% 9.92/10.68  ncf('1.1.1.1.1.1.1',plain,[-(in(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])))],extension(491 ^ 28)).
% 9.92/10.68  ncf('1.1.1.1.1.1.2',plain,[-(element(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))))],reduction('1.1.1')).
% 9.92/10.68  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([[_116121], [complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]))).
% 9.92/10.68  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([[_135472, _135474], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.1.1.1.1.1.4.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 23)).
% 9.92/10.68  ncf('1.1.1.1.1.1.5',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 20)).
% 9.92/10.68  ncf('1.1.1.1.1.2',plain,[closed_subset(subset_complement(the_carrier(796 ^ []), 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]), 796 ^ []), 737 : -(open_subset(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], 796 ^ [])), 737 : element(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))), 727 : top_str(796 ^ [])],extension(723 ^ 19,bind([[_139542, _139688], [796 ^ [], 487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])]]]))).
% 9.92/10.68  ncf('1.1.1.1.1.2.1',plain,[open_subset(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], 796 ^ [])],extension(493 ^ 24)).
% 9.92/10.68  ncf('1.1.1.1.1.2.2',plain,[-(element(487 ^ [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])], powerset(the_carrier(796 ^ []))))],reduction('1.1.1')).
% 9.92/10.68  ncf('1.1.1.1.1.2.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 20)).
% 9.92/10.68  ncf('1.1.1.1.1.3',plain,[-(closed_subsets(799 ^ [], 796 ^ []))],extension(805 ^ 17)).
% 9.92/10.68  ncf('1.1.1.1.1.4',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 15)).
% 9.92/10.68  ncf('1.1.1.1.1.5',plain,[-(top_str(796 ^ []))],extension(798 ^ 13)).
% 9.92/10.68  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([[_135472, _135474], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.1.1.2.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 8)).
% 9.92/10.68  ncf('1.1.1.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 5)).
% 9.92/10.68  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([[_124361, _124363, _124365, _124367], [799 ^ [], 799 ^ [], the_carrier(796 ^ []), the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.1.2.1',plain,[-(the_carrier(796 ^ []) = the_carrier(796 ^ [])), 796 ^ [] = 796 ^ []],extension(274 ^ 5,bind([[_124672, _124674], [796 ^ [], 796 ^ []]]))).
% 9.92/10.68  ncf('1.1.2.1.1',plain,[-(796 ^ [] = 796 ^ [])],extension(2 ^ 6,bind([[_116121], [796 ^ []]]))).
% 9.92/10.68  ncf('1.1.2.2',plain,[-(799 ^ [] = 799 ^ [])],extension(2 ^ 5,bind([[_116121], [799 ^ []]]))).
% 9.92/10.68  ncf('1.1.3',plain,[-(796 ^ [] = 796 ^ [])],extension(2 ^ 4,bind([[_116121], [796 ^ []]]))).
% 9.92/10.68  ncf('1.2',plain,[-(closed_subsets(799 ^ [], 796 ^ [])), 522 : -(element(520 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ [])))), 519 : element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))), 501 : top_str(796 ^ [])],extension(497 ^ 3,bind([[_132319, _132483], [796 ^ [], 799 ^ []]]))).
% 9.92/10.68  ncf('1.2.1',plain,[element(520 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))), -(element(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), powerset(the_carrier(796 ^ []))))],extension(587 ^ 10,bind([[_135248, _135250], [520 ^ [796 ^ [], 799 ^ []], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.2.1.1',plain,[element(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), powerset(the_carrier(796 ^ []))), 476 : in(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), complements_of_subsets(the_carrier(796 ^ []), 799 ^ [])), 476 : -(open_subset(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), 796 ^ [])), 476 : open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []), 472 : element(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), powerset(powerset(the_carrier(796 ^ [])))), 468 : top_str(796 ^ [])],extension(464 ^ 11,bind([[_131204, _131368, _131643], [796 ^ [], complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []])]]))).
% 9.92/10.68  ncf('1.2.1.1.1',plain,[-(in(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []))), 546 : in(520 ^ [796 ^ [], 799 ^ []], 799 ^ []), 546 : element(520 ^ [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([[_133448, _133450, _133628, _133916], [complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), the_carrier(796 ^ []), 799 ^ [], 520 ^ [796 ^ [], 799 ^ []]]]))).
% 9.92/10.68  ncf('1.2.1.1.1.1',plain,[-(in(520 ^ [796 ^ [], 799 ^ []], 799 ^ [])), in(520 ^ [796 ^ [], 799 ^ []], 799 ^ []), 520 ^ [796 ^ [], 799 ^ []] = 520 ^ [796 ^ [], 799 ^ []], 799 ^ [] = 799 ^ []],extension(172 ^ 27,bind([[_121350, _121352, _121354, _121356], [799 ^ [], 799 ^ [], 520 ^ [796 ^ [], 799 ^ []], 520 ^ [796 ^ [], 799 ^ []]]]))).
% 9.92/10.68  ncf('1.2.1.1.1.1.1',plain,[-(in(520 ^ [796 ^ [], 799 ^ []], 799 ^ []))],extension(524 ^ 28)).
% 9.92/10.68  ncf('1.2.1.1.1.1.2',plain,[-(520 ^ [796 ^ [], 799 ^ []] = 520 ^ [796 ^ [], 799 ^ []])],extension(2 ^ 28,bind([[_116121], [520 ^ [796 ^ [], 799 ^ []]]]))).
% 9.92/10.68  ncf('1.2.1.1.1.1.3',plain,[-(799 ^ [] = 799 ^ [])],extension(2 ^ 28,bind([[_116121], [799 ^ []]]))).
% 9.92/10.68  ncf('1.2.1.1.1.2',plain,[-(element(520 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))))],reduction('1.2')).
% 9.92/10.68  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([[_116228, _116230], [799 ^ [], complements_of_subsets(the_carrier(796 ^ []), complements_of_subsets(the_carrier(796 ^ []), 799 ^ []))]]))).
% 9.92/10.68  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([[_137179, _137181], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.2.1.1.1.3.1.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 25)).
% 9.92/10.68  ncf('1.2.1.1.1.4',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 21)).
% 9.92/10.68  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([[_135472, _135474], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.2.1.1.1.5.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 20)).
% 9.92/10.68  ncf('1.2.1.1.2',plain,[open_subset(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), 796 ^ []), -(open_subset(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), 796 ^ [])), subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]) = subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), 796 ^ [] = 796 ^ []],extension(130 ^ 18,bind([[_120018, _120020, _120022, _120024], [796 ^ [], 796 ^ [], subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []])]]))).
% 9.92/10.68  ncf('1.2.1.1.2.1',plain,[open_subset(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]), 796 ^ []), 707 : -(closed_subset(520 ^ [796 ^ [], 799 ^ []], 796 ^ [])), 707 : element(520 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))), 697 : top_str(796 ^ [])],extension(693 ^ 19,bind([[_138622, _138768], [796 ^ [], 520 ^ [796 ^ [], 799 ^ []]]]))).
% 9.92/10.68  ncf('1.2.1.1.2.1.1',plain,[closed_subset(520 ^ [796 ^ [], 799 ^ []], 796 ^ [])],extension(526 ^ 24)).
% 9.92/10.68  ncf('1.2.1.1.2.1.2',plain,[-(element(520 ^ [796 ^ [], 799 ^ []], powerset(the_carrier(796 ^ []))))],reduction('1.2')).
% 9.92/10.68  ncf('1.2.1.1.2.1.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 20)).
% 9.92/10.68  ncf('1.2.1.1.2.2',plain,[-(subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []]) = subset_complement(the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []])), the_carrier(796 ^ []) = the_carrier(796 ^ []), 520 ^ [796 ^ [], 799 ^ []] = 520 ^ [796 ^ [], 799 ^ []]],extension(248 ^ 19,bind([[_123784, _123786, _123788, _123790], [520 ^ [796 ^ [], 799 ^ []], 520 ^ [796 ^ [], 799 ^ []], the_carrier(796 ^ []), the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.2.1.1.2.2.1',plain,[-(the_carrier(796 ^ []) = the_carrier(796 ^ []))],extension(2 ^ 20,bind([[_116121], [the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.2.1.1.2.2.2',plain,[-(520 ^ [796 ^ [], 799 ^ []] = 520 ^ [796 ^ [], 799 ^ []])],extension(2 ^ 20,bind([[_116121], [520 ^ [796 ^ [], 799 ^ []]]]))).
% 9.92/10.68  ncf('1.2.1.1.2.3',plain,[-(796 ^ [] = 796 ^ [])],extension(2 ^ 19,bind([[_116121], [796 ^ []]]))).
% 9.92/10.68  ncf('1.2.1.1.3',plain,[-(open_subsets(complements_of_subsets(the_carrier(796 ^ []), 799 ^ []), 796 ^ []))],extension(809 ^ 16)).
% 9.92/10.68  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([[_135472, _135474], [799 ^ [], the_carrier(796 ^ [])]]))).
% 9.92/10.68  ncf('1.2.1.1.4.1',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 15)).
% 9.92/10.68  ncf('1.2.1.1.5',plain,[-(top_str(796 ^ []))],extension(798 ^ 12)).
% 9.92/10.68  ncf('1.2.2',plain,[-(element(799 ^ [], powerset(powerset(the_carrier(796 ^ [])))))],extension(801 ^ 6)).
% 9.92/10.68  ncf('1.2.3',plain,[-(top_str(796 ^ []))],extension(798 ^ 4)).
% 9.92/10.68  %-----------------------------------------------------
% 9.92/10.68  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------