%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:03:12 EDT 2023

% Result   : Theorem 0.37s 1.38s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU341+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 13:14:28 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.37/1.38  
% 0.37/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  ncf(matrix, plain, [(724 ^ _97035) ^ [] : [empty_carrier(722 ^ [])], (726 ^ _97035) ^ [] : [-(topological_space(722 ^ []))], (728 ^ _97035) ^ [] : [-(top_str(722 ^ []))], (731 ^ _97035) ^ [] : [-(element(729 ^ [], powerset(the_carrier(722 ^ []))))], (734 ^ _97035) ^ [] : [-(element(732 ^ [], the_carrier(722 ^ [])))], (736 ^ _97035) ^ [] : [-(open_subset(729 ^ [], 722 ^ []))], (738 ^ _97035) ^ [] : [-(in(732 ^ [], 729 ^ []))], (740 ^ _97035) ^ [] : [point_neighbourhood(729 ^ [], 722 ^ [], 732 ^ [])], (244 ^ _97035) ^ [_104705, _104707, _104709, _104711] : [-(interior(_104711, _104707) = interior(_104709, _104705)), _104711 = _104709, _104707 = _104705], (254 ^ _97035) ^ [_105036, _105038] : [_105038 = _105036, -(powerset(_105038) = powerset(_105036))], (260 ^ _97035) ^ [_105234, _105236] : [_105236 = _105234, -(the_carrier(_105236) = the_carrier(_105234))], (2 ^ _97035) ^ [_97179] : [-(_97179 = _97179)], (4 ^ _97035) ^ [_97286, _97288] : [_97288 = _97286, -(_97286 = _97288)], (10 ^ _97035) ^ [_97490, _97492, _97494] : [-(_97494 = _97490), _97494 = _97492, _97492 = _97490], (20 ^ _97035) ^ [_97803, _97805] : [-(v1_xcmplx_0(_97803)), _97805 = _97803, v1_xcmplx_0(_97805)], (30 ^ _97035) ^ [_98098, _98100] : [-(natural(_98098)), _98100 = _98098, natural(_98100)], (40 ^ _97035) ^ [_98393, _98395] : [-(v1_xreal_0(_98393)), _98395 = _98393, v1_xreal_0(_98395)], (50 ^ _97035) ^ [_98688, _98690] : [-(v1_int_1(_98688)), _98690 = _98688, v1_int_1(_98690)], (60 ^ _97035) ^ [_98983, _98985] : [-(v1_rat_1(_98983)), _98985 = _98983, v1_rat_1(_98985)], (70 ^ _97035) ^ [_99278, _99280] : [-(one_sorted_str(_99278)), _99280 = _99278, one_sorted_str(_99280)], (80 ^ _97035) ^ [_99573, _99575] : [-(v1_membered(_99573)), _99575 = _99573, v1_membered(_99575)], (90 ^ _97035) ^ [_99868, _99870] : [-(v2_membered(_99868)), _99870 = _99868, v2_membered(_99870)], (100 ^ _97035) ^ [_100163, _100165] : [-(v3_membered(_100163)), _100165 = _100163, v3_membered(_100165)], (110 ^ _97035) ^ [_100458, _100460] : [-(v4_membered(_100458)), _100460 = _100458, v4_membered(_100460)], (120 ^ _97035) ^ [_100753, _100755] : [-(v5_membered(_100753)), _100755 = _100753, v5_membered(_100755)], (130 ^ _97035) ^ [_101076, _101078, _101080, _101082] : [-(subset(_101080, _101076)), subset(_101082, _101078), _101082 = _101080, _101078 = _101076], (144 ^ _97035) ^ [_101492, _101494] : [-(empty(_101492)), _101494 = _101492, empty(_101494)], (154 ^ _97035) ^ [_101787, _101789] : [-(empty_carrier(_101787)), _101789 = _101787, empty_carrier(_101789)], (164 ^ _97035) ^ [_102082, _102084] : [-(topological_space(_102082)), _102084 = _102082, topological_space(_102084)], (174 ^ _97035) ^ [_102377, _102379] : [-(top_str(_102377)), _102379 = _102377, top_str(_102379)], (184 ^ _97035) ^ [_102700, _102702, _102704, _102706] : [-(element(_102704, _102700)), element(_102706, _102702), _102706 = _102704, _102702 = _102700], (198 ^ _97035) ^ [_103144, _103146, _103148, _103150] : [-(open_subset(_103148, _103144)), open_subset(_103150, _103146), _103150 = _103148, _103146 = _103144], (212 ^ _97035) ^ [_103588, _103590, _103592, _103594] : [-(in(_103592, _103588)), in(_103594, _103590), _103594 = _103592, _103590 = _103588], (226 ^ _97035) ^ [_104040, _104042, _104044, _104046, _104048, _104050] : [-(point_neighbourhood(_104048, _104044, _104040)), point_neighbourhood(_104050, _104046, _104042), _104050 = _104048, _104046 = _104044, _104042 = _104040], (266 ^ _97035) ^ [_105466, _105468] : [in(_105468, _105466), in(_105466, _105468)], (272 ^ _97035) ^ [_105663] : [v1_membered(_105663), 275 ^ _97035 : [(276 ^ _97035) ^ [_105793] : [element(_105793, _105663), -(v1_xcmplx_0(_105793))]]], (282 ^ _97035) ^ [_105994] : [v2_membered(_105994), 285 ^ _97035 : [(286 ^ _97035) ^ [_106129] : [element(_106129, _105994), 289 ^ _97035 : [(290 ^ _97035) ^ [] : [-(v1_xcmplx_0(_106129))], (292 ^ _97035) ^ [] : [-(v1_xreal_0(_106129))]]]]], (294 ^ _97035) ^ [_106403] : [v3_membered(_106403), 297 ^ _97035 : [(298 ^ _97035) ^ [_106543] : [element(_106543, _106403), 301 ^ _97035 : [(302 ^ _97035) ^ [] : [-(v1_xcmplx_0(_106543))], (304 ^ _97035) ^ [] : [-(v1_xreal_0(_106543))], (306 ^ _97035) ^ [] : [-(v1_rat_1(_106543))]]]]], (308 ^ _97035) ^ [_106889] : [v4_membered(_106889), 311 ^ _97035 : [(312 ^ _97035) ^ [_107034] : [element(_107034, _106889), 315 ^ _97035 : [(316 ^ _97035) ^ [] : [-(v1_xcmplx_0(_107034))], (318 ^ _97035) ^ [] : [-(v1_xreal_0(_107034))], (320 ^ _97035) ^ [] : [-(v1_int_1(_107034))], (322 ^ _97035) ^ [] : [-(v1_rat_1(_107034))]]]]], (324 ^ _97035) ^ [_107452] : [v5_membered(_107452), 327 ^ _97035 : [(328 ^ _97035) ^ [_107602] : [element(_107602, _107452), 331 ^ _97035 : [(332 ^ _97035) ^ [] : [-(v1_xcmplx_0(_107602))], (334 ^ _97035) ^ [] : [-(natural(_107602))], (336 ^ _97035) ^ [] : [-(v1_xreal_0(_107602))], (338 ^ _97035) ^ [] : [-(v1_int_1(_107602))], (340 ^ _97035) ^ [] : [-(v1_rat_1(_107602))]]]]], (342 ^ _97035) ^ [_108092] : [empty(_108092), 345 ^ _97035 : [(346 ^ _97035) ^ [] : [-(v1_membered(_108092))], (348 ^ _97035) ^ [] : [-(v2_membered(_108092))], (350 ^ _97035) ^ [] : [-(v3_membered(_108092))], (352 ^ _97035) ^ [] : [-(v4_membered(_108092))], (354 ^ _97035) ^ [] : [-(v5_membered(_108092))]]], (356 ^ _97035) ^ [_108559] : [v1_membered(_108559), 359 ^ _97035 : [(360 ^ _97035) ^ [_108691] : [element(_108691, powerset(_108559)), -(v1_membered(_108691))]]], (366 ^ _97035) ^ [_108896] : [v2_membered(_108896), 369 ^ _97035 : [(370 ^ _97035) ^ [_109033] : [element(_109033, powerset(_108896)), 373 ^ _97035 : [(374 ^ _97035) ^ [] : [-(v1_membered(_109033))], (376 ^ _97035) ^ [] : [-(v2_membered(_109033))]]]]], (378 ^ _97035) ^ [_109311] : [v3_membered(_109311), 381 ^ _97035 : [(382 ^ _97035) ^ [_109453] : [element(_109453, powerset(_109311)), 385 ^ _97035 : [(386 ^ _97035) ^ [] : [-(v1_membered(_109453))], (388 ^ _97035) ^ [] : [-(v2_membered(_109453))], (390 ^ _97035) ^ [] : [-(v3_membered(_109453))]]]]], (392 ^ _97035) ^ [_109803] : [v4_membered(_109803), 395 ^ _97035 : [(396 ^ _97035) ^ [_109950] : [element(_109950, powerset(_109803)), 399 ^ _97035 : [(400 ^ _97035) ^ [] : [-(v1_membered(_109950))], (402 ^ _97035) ^ [] : [-(v2_membered(_109950))], (404 ^ _97035) ^ [] : [-(v3_membered(_109950))], (406 ^ _97035) ^ [] : [-(v4_membered(_109950))]]]]], (408 ^ _97035) ^ [_110372] : [v5_membered(_110372), -(v4_membered(_110372))], (414 ^ _97035) ^ [_110558] : [v5_membered(_110558), 417 ^ _97035 : [(418 ^ _97035) ^ [_110710] : [element(_110710, powerset(_110558)), 421 ^ _97035 : [(422 ^ _97035) ^ [] : [-(v1_membered(_110710))], (424 ^ _97035) ^ [] : [-(v2_membered(_110710))], (426 ^ _97035) ^ [] : [-(v3_membered(_110710))], (428 ^ _97035) ^ [] : [-(v4_membered(_110710))], (430 ^ _97035) ^ [] : [-(v5_membered(_110710))]]]]], (432 ^ _97035) ^ [_111204] : [v4_membered(_111204), -(v3_membered(_111204))], (438 ^ _97035) ^ [_111390] : [v3_membered(_111390), -(v2_membered(_111390))], (444 ^ _97035) ^ [_111576] : [v2_membered(_111576), -(v1_membered(_111576))], (450 ^ _97035) ^ [_111762] : [-(empty_carrier(_111762)), topological_space(_111762), top_str(_111762), 461 ^ _97035 : [(462 ^ _97035) ^ [_112089] : [element(_112089, the_carrier(_111762)), 465 ^ _97035 : [(466 ^ _97035) ^ [_112246] : [element(_112246, powerset(the_carrier(_111762))), 469 ^ _97035 : [(470 ^ _97035) ^ [] : [point_neighbourhood(_112246, _111762, _112089), -(in(_112089, interior(_111762, _112246)))], (476 ^ _97035) ^ [] : [in(_112089, interior(_111762, _112246)), -(point_neighbourhood(_112246, _111762, _112089))]]]]]]], (482 ^ _97035) ^ [_112760, _112762] : [-(element(interior(_112762, _112760), powerset(the_carrier(_112762)))), top_str(_112762), element(_112760, powerset(the_carrier(_112762)))], (492 ^ _97035) ^ [] : [true___, -(true___)], (498 ^ _97035) ^ [] : [true___, -(true___)], (504 ^ _97035) ^ [_113303] : [top_str(_113303), -(one_sorted_str(_113303))], (510 ^ _97035) ^ [] : [true___, -(true___)], (516 ^ _97035) ^ [_113622, _113624] : [531 ^ _97035 : [(532 ^ _97035) ^ [_114032] : [point_neighbourhood(_114032, _113624, _113622), -(element(_114032, powerset(the_carrier(_113624))))]], -(empty_carrier(_113624)), topological_space(_113624), top_str(_113624), element(_113622, the_carrier(_113624))], (538 ^ _97035) ^ [] : [true___, -(true___)], (544 ^ _97035) ^ [] : [true___, -(true___)], (551 ^ _97035) ^ [] : [-(top_str(549 ^ []))], (554 ^ _97035) ^ [] : [-(one_sorted_str(552 ^ []))], (556 ^ _97035) ^ [_114683, _114685] : [-(point_neighbourhood(571 ^ [_114683, _114685], _114685, _114683)), -(empty_carrier(_114685)), topological_space(_114685), top_str(_114685), element(_114683, the_carrier(_114685))], (576 ^ _97035) ^ [_115231] : [-(element(574 ^ [_115231], _115231))], (578 ^ _97035) ^ [_115313] : [empty(powerset(_115313))], (580 ^ _97035) ^ [] : [-(empty(empty_set))], (582 ^ _97035) ^ [] : [-(v1_membered(empty_set))], (584 ^ _97035) ^ [] : [-(v2_membered(empty_set))], (586 ^ _97035) ^ [] : [-(v3_membered(empty_set))], (588 ^ _97035) ^ [] : [-(v4_membered(empty_set))], (590 ^ _97035) ^ [] : [-(v5_membered(empty_set))], (593 ^ _97035) ^ [] : [empty(591 ^ [])], (595 ^ _97035) ^ [] : [-(v1_membered(591 ^ []))], (597 ^ _97035) ^ [] : [-(v2_membered(591 ^ []))], (599 ^ _97035) ^ [] : [-(v3_membered(591 ^ []))], (601 ^ _97035) ^ [] : [-(v4_membered(591 ^ []))], (603 ^ _97035) ^ [] : [-(v5_membered(591 ^ []))], (605 ^ _97035) ^ [_116125] : [-(empty(_116125)), 609 ^ _97035 : [(610 ^ _97035) ^ [] : [-(element(608 ^ [_116125], powerset(_116125)))], (612 ^ _97035) ^ [] : [empty(608 ^ [_116125])]]], (615 ^ _97035) ^ [_116508] : [-(element(613 ^ [_116508], powerset(_116508)))], (617 ^ _97035) ^ [_116559] : [-(empty(613 ^ [_116559]))], (619 ^ _97035) ^ [_116657, _116659] : [-(subset(_116659, _116659))], (621 ^ _97035) ^ [_116766, _116768] : [in(_116768, _116766), -(element(_116768, _116766))], (627 ^ _97035) ^ [_116976, _116978] : [element(_116978, _116976), -(empty(_116976)), -(in(_116978, _116976))], (637 ^ _97035) ^ [_117303, _117305] : [element(_117305, powerset(_117303)), -(subset(_117305, _117303))], (643 ^ _97035) ^ [_117469, _117471] : [subset(_117471, _117469), -(element(_117471, powerset(_117469)))], (649 ^ _97035) ^ [_117699, _117701, _117703] : [-(element(_117703, _117699)), in(_117703, _117701), element(_117701, powerset(_117699))], (659 ^ _97035) ^ [_117998] : [topological_space(_117998), top_str(_117998), 666 ^ _97035 : [(667 ^ _97035) ^ [_118265] : [top_str(_118265), 670 ^ _97035 : [(671 ^ _97035) ^ [_118445] : [element(_118445, powerset(the_carrier(_117998))), 674 ^ _97035 : [(675 ^ _97035) ^ [_118626] : [element(_118626, powerset(the_carrier(_118265))), 678 ^ _97035 : [(679 ^ _97035) ^ [] : [open_subset(_118626, _118265), -(interior(_118265, _118626) = _118626)], (685 ^ _97035) ^ [] : [interior(_117998, _118445) = _118445, -(open_subset(_118445, _117998))]]]]]]]]], (691 ^ _97035) ^ [_119178, _119180, _119182] : [in(_119182, _119180), element(_119180, powerset(_119178)), empty(_119178)], (701 ^ _97035) ^ [_119474] : [empty(_119474), -(_119474 = empty_set)], (707 ^ _97035) ^ [_119676, _119678] : [in(_119678, _119676), empty(_119676)], (713 ^ _97035) ^ [_119863, _119865] : [empty(_119865), -(_119865 = _119863), empty(_119863)]], input).
% 0.37/1.38  ncf('1',plain,[empty_carrier(722 ^ [])],start(724 ^ 0)).
% 0.37/1.38  ncf('1.1',plain,[-(empty_carrier(722 ^ [])), topological_space(722 ^ []), top_str(722 ^ []), 462 : element(732 ^ [], the_carrier(722 ^ [])), 466 : element(729 ^ [], powerset(the_carrier(722 ^ []))), 476 : in(732 ^ [], interior(722 ^ [], 729 ^ [])), 476 : -(point_neighbourhood(729 ^ [], 722 ^ [], 732 ^ []))],extension(450 ^ 1,bind([[_111762, _112089, _112246], [722 ^ [], 732 ^ [], 729 ^ []]]))).
% 0.37/1.38  ncf('1.1.1',plain,[-(topological_space(722 ^ []))],extension(726 ^ 2)).
% 0.37/1.38  ncf('1.1.2',plain,[-(top_str(722 ^ []))],extension(728 ^ 2)).
% 0.37/1.38  ncf('1.1.3',plain,[-(element(732 ^ [], the_carrier(722 ^ [])))],extension(734 ^ 4)).
% 0.37/1.38  ncf('1.1.4',plain,[-(element(729 ^ [], powerset(the_carrier(722 ^ []))))],extension(731 ^ 6)).
% 0.37/1.38  ncf('1.1.5',plain,[-(in(732 ^ [], interior(722 ^ [], 729 ^ []))), in(732 ^ [], 729 ^ []), 732 ^ [] = 732 ^ [], 729 ^ [] = interior(722 ^ [], 729 ^ [])],extension(212 ^ 8,bind([[_103588, _103590, _103592, _103594], [interior(722 ^ [], 729 ^ []), 729 ^ [], 732 ^ [], 732 ^ []]]))).
% 0.37/1.38  ncf('1.1.5.1',plain,[-(in(732 ^ [], 729 ^ []))],extension(738 ^ 9)).
% 0.37/1.38  ncf('1.1.5.2',plain,[-(732 ^ [] = 732 ^ [])],extension(2 ^ 9,bind([[_97179], [732 ^ []]]))).
% 0.37/1.38  ncf('1.1.5.3',plain,[-(729 ^ [] = interior(722 ^ [], 729 ^ [])), interior(722 ^ [], 729 ^ []) = 729 ^ []],extension(4 ^ 9,bind([[_97286, _97288], [729 ^ [], interior(722 ^ [], 729 ^ [])]]))).
% 0.37/1.38  ncf('1.1.5.3.1',plain,[-(interior(722 ^ [], 729 ^ []) = 729 ^ []), 679 : open_subset(729 ^ [], 722 ^ []), 679 : element(729 ^ [], powerset(the_carrier(722 ^ []))), 675 : element(729 ^ [], powerset(the_carrier(722 ^ []))), 671 : top_str(722 ^ []), 667 : topological_space(722 ^ []), 667 : top_str(722 ^ [])],extension(659 ^ 10,bind([[_117998, _118265, _118445, _118626], [722 ^ [], 722 ^ [], 729 ^ [], 729 ^ []]]))).
% 0.37/1.38  ncf('1.1.5.3.1.1',plain,[-(open_subset(729 ^ [], 722 ^ []))],extension(736 ^ 19)).
% 0.37/1.38  ncf('1.1.5.3.1.2',plain,[-(element(729 ^ [], powerset(the_carrier(722 ^ []))))],lemmata('[1].x')).
% 0.37/1.38  ncf('1.1.5.3.1.3',plain,[-(element(729 ^ [], powerset(the_carrier(722 ^ []))))],extension(731 ^ 15)).
% 0.37/1.38  ncf('1.1.5.3.1.4',plain,[-(top_str(722 ^ []))],lemmata('[1].x')).
% 0.37/1.38  ncf('1.1.5.3.1.5',plain,[-(topological_space(722 ^ []))],lemmata('[1].x')).
% 0.37/1.38  ncf('1.1.5.3.1.6',plain,[-(top_str(722 ^ []))],lemmata('[1].x')).
% 0.37/1.38  ncf('1.1.6',plain,[point_neighbourhood(729 ^ [], 722 ^ [], 732 ^ [])],extension(740 ^ 8)).
% 0.37/1.38  %-----------------------------------------------------
% 0.37/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------