TSTP Solution File: SEU118+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 12:02:14 EDT 2023
% Result : Theorem 1.05s 1.38s
% Output : Proof 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU118+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n025.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 12:38:03 EDT 2023
% 0.12/0.34 % CPUTime :
% 1.05/1.38
% 1.05/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.05/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.38 %-----------------------------------------------------
% 1.05/1.38 ncf(matrix, plain, [(485 ^ _68462) ^ [] : [-(element(483 ^ [], powerset(482 ^ [])))], (487 ^ _68462) ^ [] : [-(finite(482 ^ []))], (489 ^ _68462) ^ [] : [element(483 ^ [], finite_subsets(482 ^ []))], (204 ^ _68462) ^ [_74867, _74869] : [in(_74869, _74867), in(_74867, _74869)], (210 ^ _68462) ^ [_75064] : [empty(_75064), -(finite(_75064))], (216 ^ _68462) ^ [_75250] : [preboolean(_75250), 219 ^ _68462 : [(220 ^ _68462) ^ [] : [-(cup_closed(_75250))], (222 ^ _68462) ^ [] : [-(diff_closed(_75250))]]], (224 ^ _68462) ^ [_75507] : [finite(_75507), 227 ^ _68462 : [(228 ^ _68462) ^ [_75639] : [element(_75639, powerset(_75507)), -(finite(_75639))]]], (234 ^ _68462) ^ [_75844] : [-(preboolean(_75844)), cup_closed(_75844), diff_closed(_75844)], (244 ^ _68462) ^ [_76127, _76129] : [element(_76127, finite_subsets(_76129)), -(finite(_76127))], (250 ^ _68462) ^ [_76339, _76341] : [preboolean(_76339), 253 ^ _68462 : [(276 ^ _68462) ^ [] : [-(_76339 = finite_subsets(_76341)), 288 ^ _68462 : [(289 ^ _68462) ^ [] : [-(subset(277 ^ [_76339, _76341], _76341))], (291 ^ _68462) ^ [] : [-(finite(277 ^ [_76339, _76341]))], (293 ^ _68462) ^ [] : [in(277 ^ [_76339, _76341], _76339)]], 280 ^ _68462 : [(281 ^ _68462) ^ [] : [-(in(277 ^ [_76339, _76341], _76339))], (283 ^ _68462) ^ [] : [subset(277 ^ [_76339, _76341], _76341), finite(277 ^ [_76339, _76341])]]], (254 ^ _68462) ^ [] : [_76339 = finite_subsets(_76341), 257 ^ _68462 : [(258 ^ _68462) ^ [_76626] : [in(_76626, _76339), 261 ^ _68462 : [(262 ^ _68462) ^ [] : [-(subset(_76626, _76341))], (264 ^ _68462) ^ [] : [-(finite(_76626))]]], (266 ^ _68462) ^ [_76873] : [-(in(_76873, _76339)), subset(_76873, _76341), finite(_76873)]]]]], (297 ^ _68462) ^ [_77779] : [-(preboolean(finite_subsets(_77779)))], (300 ^ _68462) ^ [_77897] : [-(element(298 ^ [_77897], _77897))], (302 ^ _68462) ^ [_77999] : [empty(powerset(_77999))], (304 ^ _68462) ^ [_78064] : [-(cup_closed(powerset(_78064)))], (306 ^ _68462) ^ [_78129] : [-(diff_closed(powerset(_78129)))], (308 ^ _68462) ^ [_78174] : [-(preboolean(powerset(_78174)))], (310 ^ _68462) ^ [_78258] : [empty(powerset(_78258))], (312 ^ _68462) ^ [] : [-(empty(empty_set))], (314 ^ _68462) ^ [_78409] : [empty(finite_subsets(_78409))], (316 ^ _68462) ^ [_78474] : [-(cup_closed(finite_subsets(_78474)))], (318 ^ _68462) ^ [_78539] : [-(diff_closed(finite_subsets(_78539)))], (320 ^ _68462) ^ [_78584] : [-(preboolean(finite_subsets(_78584)))], (323 ^ _68462) ^ [] : [empty(321 ^ [])], (325 ^ _68462) ^ [] : [-(finite(321 ^ []))], (328 ^ _68462) ^ [] : [empty(326 ^ [])], (330 ^ _68462) ^ [] : [-(cup_closed(326 ^ []))], (332 ^ _68462) ^ [] : [-(cap_closed(326 ^ []))], (334 ^ _68462) ^ [] : [-(diff_closed(326 ^ []))], (336 ^ _68462) ^ [] : [-(preboolean(326 ^ []))], (338 ^ _68462) ^ [_79164] : [-(empty(_79164)), 342 ^ _68462 : [(343 ^ _68462) ^ [] : [-(element(341 ^ [_79164], powerset(_79164)))], (345 ^ _68462) ^ [] : [empty(341 ^ [_79164])]]], (348 ^ _68462) ^ [] : [-(empty(346 ^ []))], (351 ^ _68462) ^ [_79676] : [-(element(349 ^ [_79676], powerset(_79676)))], (353 ^ _68462) ^ [_79747] : [-(empty(349 ^ [_79747]))], (355 ^ _68462) ^ [_79815] : [-(relation(349 ^ [_79815]))], (357 ^ _68462) ^ [_79883] : [-(function(349 ^ [_79883]))], (359 ^ _68462) ^ [_79951] : [-(one_to_one(349 ^ [_79951]))], (361 ^ _68462) ^ [_80019] : [-(epsilon_transitive(349 ^ [_80019]))], (363 ^ _68462) ^ [_80087] : [-(epsilon_connected(349 ^ [_80087]))], (365 ^ _68462) ^ [_80155] : [-(ordinal(349 ^ [_80155]))], (367 ^ _68462) ^ [_80223] : [-(natural(349 ^ [_80223]))], (369 ^ _68462) ^ [_80271] : [-(finite(349 ^ [_80271]))], (372 ^ _68462) ^ [_80437] : [-(element(370 ^ [_80437], powerset(_80437)))], (374 ^ _68462) ^ [_80488] : [-(empty(370 ^ [_80488]))], (377 ^ _68462) ^ [] : [empty(375 ^ [])], (379 ^ _68462) ^ [_80677] : [-(empty(_80677)), 383 ^ _68462 : [(384 ^ _68462) ^ [] : [-(element(382 ^ [_80677], powerset(_80677)))], (386 ^ _68462) ^ [] : [empty(382 ^ [_80677])], (388 ^ _68462) ^ [] : [-(finite(382 ^ [_80677]))]]], (390 ^ _68462) ^ [_81089] : [-(empty(_81089)), 394 ^ _68462 : [(395 ^ _68462) ^ [] : [-(element(393 ^ [_81089], powerset(_81089)))], (397 ^ _68462) ^ [] : [empty(393 ^ [_81089])], (399 ^ _68462) ^ [] : [-(finite(393 ^ [_81089]))]]], (401 ^ _68462) ^ [_81500, _81502] : [-(subset(_81502, _81502))], (403 ^ _68462) ^ [_81609, _81611] : [-(finite(_81611)), subset(_81611, _81609), finite(_81609)], (413 ^ _68462) ^ [_81904, _81906] : [in(_81906, _81904), -(element(_81906, _81904))], (419 ^ _68462) ^ [_82114, _82116] : [element(_82116, _82114), -(empty(_82114)), -(in(_82116, _82114))], (429 ^ _68462) ^ [_82441, _82443] : [element(_82443, powerset(_82441)), -(subset(_82443, _82441))], (435 ^ _68462) ^ [_82607, _82609] : [subset(_82609, _82607), -(element(_82609, powerset(_82607)))], (441 ^ _68462) ^ [_82837, _82839, _82841] : [-(element(_82841, _82837)), in(_82841, _82839), element(_82839, powerset(_82837))], (451 ^ _68462) ^ [_83164, _83166, _83168] : [in(_83168, _83166), element(_83166, powerset(_83164)), empty(_83164)], (461 ^ _68462) ^ [_83460] : [empty(_83460), -(_83460 = empty_set)], (467 ^ _68462) ^ [_83662, _83664] : [in(_83664, _83662), empty(_83662)], (473 ^ _68462) ^ [_83849, _83851] : [empty(_83851), -(_83851 = _83849), empty(_83849)], (192 ^ _68462) ^ [_74413, _74415] : [_74415 = _74413, -(powerset(_74415) = powerset(_74413))], (198 ^ _68462) ^ [_74611, _74613] : [_74613 = _74611, -(finite_subsets(_74613) = finite_subsets(_74611))], (2 ^ _68462) ^ [_68606] : [-(_68606 = _68606)], (4 ^ _68462) ^ [_68713, _68715] : [_68715 = _68713, -(_68713 = _68715)], (10 ^ _68462) ^ [_68917, _68919, _68921] : [-(_68921 = _68917), _68921 = _68919, _68919 = _68917], (20 ^ _68462) ^ [_69230, _69232] : [-(cup_closed(_69230)), _69232 = _69230, cup_closed(_69232)], (30 ^ _68462) ^ [_69525, _69527] : [-(cap_closed(_69525)), _69527 = _69525, cap_closed(_69527)], (40 ^ _68462) ^ [_69820, _69822] : [-(diff_closed(_69820)), _69822 = _69820, diff_closed(_69822)], (50 ^ _68462) ^ [_70115, _70117] : [-(preboolean(_70115)), _70117 = _70115, preboolean(_70117)], (60 ^ _68462) ^ [_70410, _70412] : [-(relation(_70410)), _70412 = _70410, relation(_70412)], (70 ^ _68462) ^ [_70705, _70707] : [-(function(_70705)), _70707 = _70705, function(_70707)], (80 ^ _68462) ^ [_71000, _71002] : [-(one_to_one(_71000)), _71002 = _71000, one_to_one(_71002)], (90 ^ _68462) ^ [_71295, _71297] : [-(epsilon_transitive(_71295)), _71297 = _71295, epsilon_transitive(_71297)], (100 ^ _68462) ^ [_71590, _71592] : [-(epsilon_connected(_71590)), _71592 = _71590, epsilon_connected(_71592)], (110 ^ _68462) ^ [_71885, _71887] : [-(ordinal(_71885)), _71887 = _71885, ordinal(_71887)], (120 ^ _68462) ^ [_72180, _72182] : [-(natural(_72180)), _72182 = _72180, natural(_72182)], (130 ^ _68462) ^ [_72503, _72505, _72507, _72509] : [-(subset(_72507, _72503)), subset(_72509, _72505), _72509 = _72507, _72505 = _72503], (144 ^ _68462) ^ [_72947, _72949, _72951, _72953] : [-(in(_72951, _72947)), in(_72953, _72949), _72953 = _72951, _72949 = _72947], (158 ^ _68462) ^ [_73363, _73365] : [-(empty(_73363)), _73365 = _73363, empty(_73365)], (168 ^ _68462) ^ [_73658, _73660] : [-(finite(_73658)), _73660 = _73658, finite(_73660)], (178 ^ _68462) ^ [_73961, _73963, _73965, _73967] : [-(element(_73965, _73961)), element(_73967, _73963), _73967 = _73965, _73963 = _73961]], input).
% 1.05/1.38 ncf('1',plain,[element(483 ^ [], finite_subsets(482 ^ []))],start(489 ^ 0)).
% 1.05/1.38 ncf('1.1',plain,[-(element(483 ^ [], finite_subsets(482 ^ []))), element(483 ^ [], powerset(482 ^ [])), 483 ^ [] = 483 ^ [], powerset(482 ^ []) = finite_subsets(482 ^ [])],extension(178 ^ 1,bind([[_73961, _73963, _73965, _73967], [finite_subsets(482 ^ []), powerset(482 ^ []), 483 ^ [], 483 ^ []]]))).
% 1.05/1.38 ncf('1.1.1',plain,[-(element(483 ^ [], powerset(482 ^ [])))],extension(485 ^ 2)).
% 1.05/1.38 ncf('1.1.2',plain,[-(483 ^ [] = 483 ^ [])],extension(2 ^ 2,bind([[_68606], [483 ^ []]]))).
% 1.05/1.38 ncf('1.1.3',plain,[-(powerset(482 ^ []) = finite_subsets(482 ^ [])), 289 : -(subset(277 ^ [powerset(482 ^ []), 482 ^ []], 482 ^ [])), 283 : subset(277 ^ [powerset(482 ^ []), 482 ^ []], 482 ^ []), 283 : finite(277 ^ [powerset(482 ^ []), 482 ^ []]), 276 : preboolean(powerset(482 ^ []))],extension(250 ^ 2,bind([[_76339, _76341], [powerset(482 ^ []), 482 ^ []]]))).
% 1.05/1.38 ncf('1.1.3.1',plain,[subset(277 ^ [powerset(482 ^ []), 482 ^ []], 482 ^ []), -(element(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ [])))],extension(435 ^ 7,bind([[_82607, _82609], [482 ^ [], 277 ^ [powerset(482 ^ []), 482 ^ []]]]))).
% 1.05/1.38 ncf('1.1.3.1.1',plain,[element(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ [])), -(empty(powerset(482 ^ []))), -(in(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ [])))],extension(419 ^ 8,bind([[_82114, _82116], [powerset(482 ^ []), 277 ^ [powerset(482 ^ []), 482 ^ []]]]))).
% 1.05/1.38 ncf('1.1.3.1.1.1',plain,[empty(powerset(482 ^ []))],extension(302 ^ 9,bind([[_77999], [482 ^ []]]))).
% 1.05/1.38 ncf('1.1.3.1.1.2',plain,[in(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ []))],extension(293 ^ 9)).
% 1.05/1.38 ncf('1.1.3.2',plain,[-(subset(277 ^ [powerset(482 ^ []), 482 ^ []], 482 ^ [])), element(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ []))],extension(429 ^ 7,bind([[_82441, _82443], [482 ^ [], 277 ^ [powerset(482 ^ []), 482 ^ []]]]))).
% 1.05/1.38 ncf('1.1.3.2.1',plain,[-(element(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ []))), in(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ []))],extension(413 ^ 8,bind([[_81904, _81906], [powerset(482 ^ []), 277 ^ [powerset(482 ^ []), 482 ^ []]]]))).
% 1.05/1.38 ncf('1.1.3.2.1.1',plain,[-(in(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ [])))],extension(281 ^ 9)).
% 1.05/1.38 ncf('1.1.3.3',plain,[-(finite(277 ^ [powerset(482 ^ []), 482 ^ []])), 228 : element(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ [])), 228 : finite(482 ^ [])],extension(224 ^ 7,bind([[_75507, _75639], [482 ^ [], 277 ^ [powerset(482 ^ []), 482 ^ []]]]))).
% 1.05/1.38 ncf('1.1.3.3.1',plain,[-(element(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ []))), in(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ []))],extension(413 ^ 10,bind([[_81904, _81906], [powerset(482 ^ []), 277 ^ [powerset(482 ^ []), 482 ^ []]]]))).
% 1.05/1.38 ncf('1.1.3.3.1.1',plain,[-(in(277 ^ [powerset(482 ^ []), 482 ^ []], powerset(482 ^ [])))],extension(281 ^ 11)).
% 1.05/1.38 ncf('1.1.3.3.2',plain,[-(finite(482 ^ []))],extension(487 ^ 8)).
% 1.05/1.38 ncf('1.1.3.4',plain,[-(preboolean(powerset(482 ^ []))), cup_closed(powerset(482 ^ [])), diff_closed(powerset(482 ^ []))],extension(234 ^ 3,bind([[_75844], [powerset(482 ^ [])]]))).
% 1.05/1.38 ncf('1.1.3.4.1',plain,[-(cup_closed(powerset(482 ^ [])))],extension(304 ^ 4,bind([[_78064], [482 ^ []]]))).
% 1.05/1.38 ncf('1.1.3.4.2',plain,[-(diff_closed(powerset(482 ^ [])))],extension(306 ^ 4,bind([[_78129], [482 ^ []]]))).
% 1.05/1.38 %-----------------------------------------------------
% 1.05/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------