TSTP Solution File: SEU306+1 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 12:03:04 EDT 2023

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU306+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May 18 13:34:22 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.35/1.39  
% 0.35/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  ncf(matrix, plain, [(546 ^ _69922) ^ [] : [-(one_sorted_str(544 ^ []))], (548 ^ _69922) ^ [] : [cast_as_carrier_subset(544 ^ []) = the_carrier(544 ^ [])], (182 ^ _69922) ^ [_75576, _75578] : [_75578 = _75576, -(powerset(_75578) = powerset(_75576))], (188 ^ _69922) ^ [_75794, _75796] : [_75796 = _75794, -(cast_as_carrier_subset(_75796) = cast_as_carrier_subset(_75794))], (194 ^ _69922) ^ [_75992, _75994] : [_75994 = _75992, -(the_carrier(_75994) = the_carrier(_75992))], (2 ^ _69922) ^ [_70066] : [-(_70066 = _70066)], (4 ^ _69922) ^ [_70173, _70175] : [_70175 = _70173, -(_70173 = _70175)], (10 ^ _69922) ^ [_70377, _70379, _70381] : [-(_70381 = _70377), _70381 = _70379, _70379 = _70377], (20 ^ _69922) ^ [_70690, _70692] : [-(v1_xcmplx_0(_70690)), _70692 = _70690, v1_xcmplx_0(_70692)], (30 ^ _69922) ^ [_70985, _70987] : [-(natural(_70985)), _70987 = _70985, natural(_70987)], (40 ^ _69922) ^ [_71280, _71282] : [-(v1_xreal_0(_71280)), _71282 = _71280, v1_xreal_0(_71282)], (50 ^ _69922) ^ [_71575, _71577] : [-(v1_int_1(_71575)), _71577 = _71575, v1_int_1(_71577)], (60 ^ _69922) ^ [_71870, _71872] : [-(v1_rat_1(_71870)), _71872 = _71870, v1_rat_1(_71872)], (70 ^ _69922) ^ [_72165, _72167] : [-(v1_membered(_72165)), _72167 = _72165, v1_membered(_72167)], (80 ^ _69922) ^ [_72460, _72462] : [-(v2_membered(_72460)), _72462 = _72460, v2_membered(_72462)], (90 ^ _69922) ^ [_72755, _72757] : [-(v3_membered(_72755)), _72757 = _72755, v3_membered(_72757)], (100 ^ _69922) ^ [_73050, _73052] : [-(v4_membered(_73050)), _73052 = _73050, v4_membered(_73052)], (110 ^ _69922) ^ [_73345, _73347] : [-(v5_membered(_73345)), _73347 = _73345, v5_membered(_73347)], (120 ^ _69922) ^ [_73668, _73670, _73672, _73674] : [-(in(_73672, _73668)), in(_73674, _73670), _73674 = _73672, _73670 = _73668], (134 ^ _69922) ^ [_74084, _74086] : [-(empty(_74084)), _74086 = _74084, empty(_74086)], (144 ^ _69922) ^ [_74407, _74409, _74411, _74413] : [-(subset(_74411, _74407)), subset(_74413, _74409), _74413 = _74411, _74409 = _74407], (172 ^ _69922) ^ [_75247, _75249] : [-(one_sorted_str(_75247)), _75249 = _75247, one_sorted_str(_75249)], (158 ^ _69922) ^ [_74851, _74853, _74855, _74857] : [-(element(_74855, _74851)), element(_74857, _74853), _74857 = _74855, _74853 = _74851], (200 ^ _69922) ^ [_76220, _76222] : [in(_76222, _76220), in(_76220, _76222)], (206 ^ _69922) ^ [] : [true___, -(true___)], (212 ^ _69922) ^ [_76536] : [v5_membered(_76536), -(v4_membered(_76536))], (218 ^ _69922) ^ [_76722] : [v4_membered(_76722), -(v3_membered(_76722))], (224 ^ _69922) ^ [_76908] : [v3_membered(_76908), -(v2_membered(_76908))], (230 ^ _69922) ^ [_77094] : [v2_membered(_77094), -(v1_membered(_77094))], (237 ^ _69922) ^ [] : [empty(235 ^ [])], (239 ^ _69922) ^ [] : [-(v1_membered(235 ^ []))], (241 ^ _69922) ^ [] : [-(v2_membered(235 ^ []))], (243 ^ _69922) ^ [] : [-(v3_membered(235 ^ []))], (245 ^ _69922) ^ [] : [-(v4_membered(235 ^ []))], (247 ^ _69922) ^ [] : [-(v5_membered(235 ^ []))], (249 ^ _69922) ^ [_77670] : [v1_membered(_77670), 252 ^ _69922 : [(253 ^ _69922) ^ [_77800] : [element(_77800, _77670), -(v1_xcmplx_0(_77800))]]], (259 ^ _69922) ^ [_78001] : [v2_membered(_78001), 262 ^ _69922 : [(263 ^ _69922) ^ [_78136] : [element(_78136, _78001), 266 ^ _69922 : [(267 ^ _69922) ^ [] : [-(v1_xcmplx_0(_78136))], (269 ^ _69922) ^ [] : [-(v1_xreal_0(_78136))]]]]], (271 ^ _69922) ^ [_78410] : [v3_membered(_78410), 274 ^ _69922 : [(275 ^ _69922) ^ [_78550] : [element(_78550, _78410), 278 ^ _69922 : [(279 ^ _69922) ^ [] : [-(v1_xcmplx_0(_78550))], (281 ^ _69922) ^ [] : [-(v1_xreal_0(_78550))], (283 ^ _69922) ^ [] : [-(v1_rat_1(_78550))]]]]], (285 ^ _69922) ^ [_78896] : [v4_membered(_78896), 288 ^ _69922 : [(289 ^ _69922) ^ [_79041] : [element(_79041, _78896), 292 ^ _69922 : [(293 ^ _69922) ^ [] : [-(v1_xcmplx_0(_79041))], (295 ^ _69922) ^ [] : [-(v1_xreal_0(_79041))], (297 ^ _69922) ^ [] : [-(v1_int_1(_79041))], (299 ^ _69922) ^ [] : [-(v1_rat_1(_79041))]]]]], (301 ^ _69922) ^ [_79459] : [v5_membered(_79459), 304 ^ _69922 : [(305 ^ _69922) ^ [_79609] : [element(_79609, _79459), 308 ^ _69922 : [(309 ^ _69922) ^ [] : [-(v1_xcmplx_0(_79609))], (311 ^ _69922) ^ [] : [-(natural(_79609))], (313 ^ _69922) ^ [] : [-(v1_xreal_0(_79609))], (315 ^ _69922) ^ [] : [-(v1_int_1(_79609))], (317 ^ _69922) ^ [] : [-(v1_rat_1(_79609))]]]]], (319 ^ _69922) ^ [] : [-(empty(empty_set))], (321 ^ _69922) ^ [] : [-(v1_membered(empty_set))], (323 ^ _69922) ^ [] : [-(v2_membered(empty_set))], (325 ^ _69922) ^ [] : [-(v3_membered(empty_set))], (327 ^ _69922) ^ [] : [-(v4_membered(empty_set))], (329 ^ _69922) ^ [] : [-(v5_membered(empty_set))], (331 ^ _69922) ^ [_80427] : [v1_membered(_80427), 334 ^ _69922 : [(335 ^ _69922) ^ [_80559] : [element(_80559, powerset(_80427)), -(v1_membered(_80559))]]], (341 ^ _69922) ^ [_80764] : [v2_membered(_80764), 344 ^ _69922 : [(345 ^ _69922) ^ [_80901] : [element(_80901, powerset(_80764)), 348 ^ _69922 : [(349 ^ _69922) ^ [] : [-(v1_membered(_80901))], (351 ^ _69922) ^ [] : [-(v2_membered(_80901))]]]]], (353 ^ _69922) ^ [_81179] : [v3_membered(_81179), 356 ^ _69922 : [(357 ^ _69922) ^ [_81321] : [element(_81321, powerset(_81179)), 360 ^ _69922 : [(361 ^ _69922) ^ [] : [-(v1_membered(_81321))], (363 ^ _69922) ^ [] : [-(v2_membered(_81321))], (365 ^ _69922) ^ [] : [-(v3_membered(_81321))]]]]], (367 ^ _69922) ^ [_81671] : [v4_membered(_81671), 370 ^ _69922 : [(371 ^ _69922) ^ [_81818] : [element(_81818, powerset(_81671)), 374 ^ _69922 : [(375 ^ _69922) ^ [] : [-(v1_membered(_81818))], (377 ^ _69922) ^ [] : [-(v2_membered(_81818))], (379 ^ _69922) ^ [] : [-(v3_membered(_81818))], (381 ^ _69922) ^ [] : [-(v4_membered(_81818))]]]]], (383 ^ _69922) ^ [_82240] : [v5_membered(_82240), 386 ^ _69922 : [(387 ^ _69922) ^ [_82392] : [element(_82392, powerset(_82240)), 390 ^ _69922 : [(391 ^ _69922) ^ [] : [-(v1_membered(_82392))], (393 ^ _69922) ^ [] : [-(v2_membered(_82392))], (395 ^ _69922) ^ [] : [-(v3_membered(_82392))], (397 ^ _69922) ^ [] : [-(v4_membered(_82392))], (399 ^ _69922) ^ [] : [-(v5_membered(_82392))]]]]], (401 ^ _69922) ^ [_82900, _82902] : [in(_82902, _82900), -(element(_82902, _82900))], (407 ^ _69922) ^ [_83124, _83126, _83128] : [-(element(_83128, _83124)), in(_83128, _83126), element(_83126, powerset(_83124))], (417 ^ _69922) ^ [_83451, _83453, _83455] : [in(_83455, _83453), element(_83453, powerset(_83451)), empty(_83451)], (427 ^ _69922) ^ [_83746, _83748] : [-(subset(_83748, _83748))], (429 ^ _69922) ^ [_83841] : [-(empty(_83841)), 433 ^ _69922 : [(434 ^ _69922) ^ [] : [-(element(432 ^ [_83841], powerset(_83841)))], (436 ^ _69922) ^ [] : [empty(432 ^ [_83841])]]], (439 ^ _69922) ^ [_84224] : [-(element(437 ^ [_84224], powerset(_84224)))], (441 ^ _69922) ^ [_84275] : [-(empty(437 ^ [_84275]))], (443 ^ _69922) ^ [_84374] : [empty(_84374), 446 ^ _69922 : [(447 ^ _69922) ^ [] : [-(v1_membered(_84374))], (449 ^ _69922) ^ [] : [-(v2_membered(_84374))], (451 ^ _69922) ^ [] : [-(v3_membered(_84374))], (453 ^ _69922) ^ [] : [-(v4_membered(_84374))], (455 ^ _69922) ^ [] : [-(v5_membered(_84374))]]], (457 ^ _69922) ^ [_84855, _84857] : [element(_84857, _84855), -(empty(_84855)), -(in(_84857, _84855))], (467 ^ _69922) ^ [_85139] : [empty(_85139), -(_85139 = empty_set)], (473 ^ _69922) ^ [_85341, _85343] : [in(_85343, _85341), empty(_85341)], (479 ^ _69922) ^ [_85548, _85550] : [empty(_85550), -(_85550 = _85548), empty(_85548)], (490 ^ _69922) ^ [_85855] : [-(element(488 ^ [_85855], _85855))], (492 ^ _69922) ^ [] : [true___, -(true___)], (498 ^ _69922) ^ [] : [true___, -(true___)], (504 ^ _69922) ^ [_86175] : [empty(powerset(_86175))], (506 ^ _69922) ^ [_86312, _86314] : [element(_86314, powerset(_86312)), -(subset(_86314, _86312))], (512 ^ _69922) ^ [_86478, _86480] : [subset(_86480, _86478), -(element(_86480, powerset(_86478)))], (519 ^ _69922) ^ [] : [-(one_sorted_str(517 ^ []))], (521 ^ _69922) ^ [_86769] : [one_sorted_str(_86769), -(element(cast_as_carrier_subset(_86769), powerset(the_carrier(_86769))))], (527 ^ _69922) ^ [] : [true___, -(true___)], (533 ^ _69922) ^ [] : [true___, -(true___)], (539 ^ _69922) ^ [_87187] : [one_sorted_str(_87187), -(cast_as_carrier_subset(_87187) = the_carrier(_87187))]], input).
% 0.35/1.39  ncf('1',plain,[cast_as_carrier_subset(544 ^ []) = the_carrier(544 ^ [])],start(548 ^ 0)).
% 0.35/1.39  ncf('1.1',plain,[-(cast_as_carrier_subset(544 ^ []) = the_carrier(544 ^ [])), one_sorted_str(544 ^ [])],extension(539 ^ 1,bind([[_87187], [544 ^ []]]))).
% 0.35/1.39  ncf('1.1.1',plain,[-(one_sorted_str(544 ^ []))],extension(546 ^ 2)).
% 0.35/1.39  %-----------------------------------------------------
% 0.35/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------