TSTP Solution File: SET643+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 11:56:13 EDT 2023
% Result : Theorem 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET643+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n013.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 18:51:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.33/1.39
% 0.33/1.39 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 ncf(matrix, plain, [(484 ^ _64104) ^ [] : [-(ilf_type(482 ^ [], set_type))], (487 ^ _64104) ^ [] : [-(ilf_type(485 ^ [], set_type))], (489 ^ _64104) ^ [] : [ilf_type(cross_product(482 ^ [], 485 ^ []), relation_type(482 ^ [], 485 ^ []))], (82 ^ _64104) ^ [_66788, _66790] : [_66790 = _66788, -(power_set(_66790) = power_set(_66788))], (88 ^ _64104) ^ [_67006, _67008] : [_67008 = _67006, -(member_type(_67008) = member_type(_67006))], (94 ^ _64104) ^ [_67252, _67254, _67256, _67258] : [-(ordered_pair(_67258, _67254) = ordered_pair(_67256, _67252)), _67258 = _67256, _67254 = _67252], (104 ^ _64104) ^ [_67583, _67585] : [_67585 = _67583, -(subset_type(_67585) = subset_type(_67583))], (110 ^ _64104) ^ [_67829, _67831, _67833, _67835] : [-(cross_product(_67835, _67831) = cross_product(_67833, _67829)), _67835 = _67833, _67831 = _67829], (120 ^ _64104) ^ [_68168, _68170, _68172, _68174] : [-(relation_type(_68174, _68170) = relation_type(_68172, _68168)), _68174 = _68172, _68170 = _68168], (2 ^ _64104) ^ [_64248] : [-(_64248 = _64248)], (4 ^ _64104) ^ [_64355, _64357] : [_64357 = _64355, -(_64355 = _64357)], (10 ^ _64104) ^ [_64559, _64561, _64563] : [-(_64563 = _64559), _64563 = _64561, _64561 = _64559], (20 ^ _64104) ^ [_64900, _64902, _64904, _64906] : [-(subset(_64904, _64900)), subset(_64906, _64902), _64906 = _64904, _64902 = _64900], (34 ^ _64104) ^ [_65344, _65346, _65348, _65350] : [-(member(_65348, _65344)), member(_65350, _65346), _65350 = _65348, _65346 = _65344], (48 ^ _64104) ^ [_65760, _65762] : [-(empty(_65760)), _65762 = _65760, empty(_65762)], (58 ^ _64104) ^ [_66055, _66057] : [-(relation_like(_66055)), _66057 = _66055, relation_like(_66057)], (68 ^ _64104) ^ [_66358, _66360, _66362, _66364] : [-(ilf_type(_66362, _66358)), ilf_type(_66364, _66360), _66364 = _66362, _66360 = _66358], (130 ^ _64104) ^ [_68507] : [ilf_type(_68507, set_type), 133 ^ _64104 : [(134 ^ _64104) ^ [_68663] : [ilf_type(_68663, set_type), 137 ^ _64104 : [(138 ^ _64104) ^ [_68814] : [ilf_type(_68814, set_type), subset(_68507, cross_product(_68663, _68814)), -(ilf_type(_68507, relation_type(_68663, _68814)))]]]]], (148 ^ _64104) ^ [_69135] : [ilf_type(_69135, set_type), 151 ^ _64104 : [(152 ^ _64104) ^ [_69325] : [ilf_type(_69325, set_type), 155 ^ _64104 : [(156 ^ _64104) ^ [_69510] : [ilf_type(_69510, set_type), 159 ^ _64104 : [(160 ^ _64104) ^ [] : [member(_69510, cross_product(_69135, _69325)), 164 ^ _64104 : [(165 ^ _64104) ^ [] : [-(ilf_type(163 ^ [_69135, _69325, _69510], set_type))], (168 ^ _64104) ^ [] : [-(ilf_type(166 ^ [_69135, _69325, _69510], set_type))], (170 ^ _64104) ^ [] : [-(member(163 ^ [_69135, _69325, _69510], _69135))], (172 ^ _64104) ^ [] : [-(member(166 ^ [_69135, _69325, _69510], _69325))], (174 ^ _64104) ^ [] : [-(_69510 = ordered_pair(163 ^ [_69135, _69325, _69510], 166 ^ [_69135, _69325, _69510]))]]], (176 ^ _64104) ^ [] : [-(member(_69510, cross_product(_69135, _69325))), 177 ^ _64104 : [(178 ^ _64104) ^ [_70400] : [ilf_type(_70400, set_type), 181 ^ _64104 : [(182 ^ _64104) ^ [_70566] : [ilf_type(_70566, set_type), member(_70400, _69135), member(_70566, _69325), _69510 = ordered_pair(_70400, _70566)]]]]]]]]]]], (198 ^ _64104) ^ [_71073] : [ilf_type(_71073, set_type), 201 ^ _64104 : [(202 ^ _64104) ^ [_71209] : [ilf_type(_71209, set_type), -(ilf_type(cross_product(_71073, _71209), set_type))]]], (208 ^ _64104) ^ [_71418] : [ilf_type(_71418, set_type), 211 ^ _64104 : [(212 ^ _64104) ^ [_71595] : [ilf_type(_71595, set_type), 215 ^ _64104 : [(216 ^ _64104) ^ [_71787] : [ilf_type(_71787, subset_type(cross_product(_71418, _71595))), -(ilf_type(_71787, relation_type(_71418, _71595)))], (222 ^ _64104) ^ [_71989] : [ilf_type(_71989, relation_type(_71418, _71595)), -(ilf_type(_71989, subset_type(cross_product(_71418, _71595))))]]]]], (228 ^ _64104) ^ [_72223] : [ilf_type(_72223, set_type), 231 ^ _64104 : [(232 ^ _64104) ^ [_72364] : [ilf_type(_72364, set_type), -(ilf_type(235 ^ [_72223, _72364], relation_type(_72364, _72223)))]]], (239 ^ _64104) ^ [_72633] : [ilf_type(_72633, set_type), 242 ^ _64104 : [(243 ^ _64104) ^ [_72769] : [ilf_type(_72769, set_type), -(ilf_type(ordered_pair(_72633, _72769), set_type))]]], (249 ^ _64104) ^ [_72978] : [ilf_type(_72978, set_type), 252 ^ _64104 : [(253 ^ _64104) ^ [_73123] : [ilf_type(_73123, set_type), 256 ^ _64104 : [(257 ^ _64104) ^ [] : [ilf_type(_73123, subset_type(_72978)), -(ilf_type(_73123, member_type(power_set(_72978))))], (263 ^ _64104) ^ [] : [ilf_type(_73123, member_type(power_set(_72978))), -(ilf_type(_73123, subset_type(_72978)))]]]]], (269 ^ _64104) ^ [_73594] : [ilf_type(_73594, set_type), -(ilf_type(272 ^ [_73594], subset_type(_73594)))], (276 ^ _64104) ^ [_73841] : [ilf_type(_73841, set_type), 279 ^ _64104 : [(280 ^ _64104) ^ [_73997] : [ilf_type(_73997, set_type), 283 ^ _64104 : [(298 ^ _64104) ^ [] : [300 ^ _64104 : [(301 ^ _64104) ^ [] : [-(ilf_type(299 ^ [_73841, _73997], set_type))], (303 ^ _64104) ^ [] : [-(member(299 ^ [_73841, _73997], _73841))], (305 ^ _64104) ^ [] : [member(299 ^ [_73841, _73997], _73997)]], -(subset(_73841, _73997))], (284 ^ _64104) ^ [] : [subset(_73841, _73997), 287 ^ _64104 : [(288 ^ _64104) ^ [_74256] : [ilf_type(_74256, set_type), member(_74256, _73841), -(member(_74256, _73997))]]]]]]], (309 ^ _64104) ^ [_74916] : [ilf_type(_74916, set_type), -(subset(_74916, _74916))], (315 ^ _64104) ^ [_75106] : [ilf_type(_75106, set_type), 318 ^ _64104 : [(319 ^ _64104) ^ [_75264] : [ilf_type(_75264, set_type), 322 ^ _64104 : [(337 ^ _64104) ^ [] : [339 ^ _64104 : [(340 ^ _64104) ^ [] : [-(ilf_type(338 ^ [_75106, _75264], set_type))], (342 ^ _64104) ^ [] : [-(member(338 ^ [_75106, _75264], _75106))], (344 ^ _64104) ^ [] : [member(338 ^ [_75106, _75264], _75264)]], -(member(_75106, power_set(_75264)))], (323 ^ _64104) ^ [] : [member(_75106, power_set(_75264)), 326 ^ _64104 : [(327 ^ _64104) ^ [_75527] : [ilf_type(_75527, set_type), member(_75527, _75106), -(member(_75527, _75264))]]]]]]], (348 ^ _64104) ^ [_76189] : [ilf_type(_76189, set_type), 351 ^ _64104 : [(352 ^ _64104) ^ [] : [empty(power_set(_76189))], (354 ^ _64104) ^ [] : [-(ilf_type(power_set(_76189), set_type))]]], (356 ^ _64104) ^ [_76459] : [ilf_type(_76459, set_type), 359 ^ _64104 : [(360 ^ _64104) ^ [_76607] : [-(empty(_76607)), ilf_type(_76607, set_type), 367 ^ _64104 : [(368 ^ _64104) ^ [] : [ilf_type(_76459, member_type(_76607)), -(member(_76459, _76607))], (374 ^ _64104) ^ [] : [member(_76459, _76607), -(ilf_type(_76459, member_type(_76607)))]]]]], (380 ^ _64104) ^ [_77158] : [-(ilf_type(387 ^ [_77158], member_type(_77158))), -(empty(_77158)), ilf_type(_77158, set_type)], (391 ^ _64104) ^ [_77491] : [ilf_type(_77491, set_type), 394 ^ _64104 : [(405 ^ _64104) ^ [] : [407 ^ _64104 : [(408 ^ _64104) ^ [] : [-(ilf_type(406 ^ [_77491], set_type))], (410 ^ _64104) ^ [] : [-(member(406 ^ [_77491], _77491))]], -(empty(_77491))], (395 ^ _64104) ^ [] : [empty(_77491), 398 ^ _64104 : [(399 ^ _64104) ^ [_77734] : [ilf_type(_77734, set_type), member(_77734, _77491)]]]]], (457 ^ _64104) ^ [_79737] : [-(relation_like(_79737)), empty(_79737), ilf_type(_79737, set_type)], (481 ^ _64104) ^ [_80488] : [-(ilf_type(_80488, set_type))], (467 ^ _64104) ^ [_80008] : [ilf_type(_80008, set_type), 470 ^ _64104 : [(471 ^ _64104) ^ [_80156] : [ilf_type(_80156, set_type), 474 ^ _64104 : [(475 ^ _64104) ^ [_80299] : [ilf_type(_80299, subset_type(cross_product(_80008, _80156))), -(relation_like(_80299))]]]]], (414 ^ _64104) ^ [_78194] : [ilf_type(_78194, set_type), 417 ^ _64104 : [(418 ^ _64104) ^ [] : [relation_like(_78194), 421 ^ _64104 : [(422 ^ _64104) ^ [_78466] : [ilf_type(_78466, set_type), member(_78466, _78194), 430 ^ _64104 : [(431 ^ _64104) ^ [] : [-(ilf_type(429 ^ [_78194, _78466], set_type))], (434 ^ _64104) ^ [] : [-(ilf_type(432 ^ [_78194, _78466], set_type))], (436 ^ _64104) ^ [] : [-(_78466 = ordered_pair(429 ^ [_78194, _78466], 432 ^ [_78194, _78466]))]]]]], (438 ^ _64104) ^ [] : [-(relation_like(_78194)), 440 ^ _64104 : [(441 ^ _64104) ^ [] : [-(ilf_type(439 ^ [_78194], set_type))], (443 ^ _64104) ^ [] : [-(member(439 ^ [_78194], _78194))], (445 ^ _64104) ^ [_79305] : [ilf_type(_79305, set_type), 448 ^ _64104 : [(449 ^ _64104) ^ [_79452] : [ilf_type(_79452, set_type), 439 ^ [_78194] = ordered_pair(_79305, _79452)]]]]]]]], input).
% 0.33/1.40 ncf('1',plain,[ilf_type(cross_product(482 ^ [], 485 ^ []), relation_type(482 ^ [], 485 ^ []))],start(489 ^ 0)).
% 0.33/1.40 ncf('1.1',plain,[-(ilf_type(cross_product(482 ^ [], 485 ^ []), relation_type(482 ^ [], 485 ^ []))), 138 : ilf_type(485 ^ [], set_type), 138 : subset(cross_product(482 ^ [], 485 ^ []), cross_product(482 ^ [], 485 ^ [])), 138 : ilf_type(482 ^ [], set_type), 134 : ilf_type(cross_product(482 ^ [], 485 ^ []), set_type)],extension(130 ^ 1,bind([[_68507, _68663, _68814], [cross_product(482 ^ [], 485 ^ []), 482 ^ [], 485 ^ []]]))).
% 0.33/1.40 ncf('1.1.1',plain,[-(ilf_type(485 ^ [], set_type))],extension(487 ^ 6)).
% 0.33/1.40 ncf('1.1.2',plain,[-(subset(cross_product(482 ^ [], 485 ^ []), cross_product(482 ^ [], 485 ^ []))), 303 : -(member(299 ^ [cross_product(482 ^ [], 485 ^ []), cross_product(482 ^ [], 485 ^ [])], cross_product(482 ^ [], 485 ^ []))), 298 : ilf_type(cross_product(482 ^ [], 485 ^ []), set_type), 280 : ilf_type(cross_product(482 ^ [], 485 ^ []), set_type)],extension(276 ^ 6,bind([[_73841, _73997], [cross_product(482 ^ [], 485 ^ []), cross_product(482 ^ [], 485 ^ [])]]))).
% 0.33/1.40 ncf('1.1.2.1',plain,[member(299 ^ [cross_product(482 ^ [], 485 ^ []), cross_product(482 ^ [], 485 ^ [])], cross_product(482 ^ [], 485 ^ []))],extension(305 ^ 13)).
% 0.33/1.40 ncf('1.1.2.2',plain,[-(ilf_type(cross_product(482 ^ [], 485 ^ []), set_type)), 202 : ilf_type(485 ^ [], set_type), 202 : ilf_type(482 ^ [], set_type)],extension(198 ^ 9,bind([[_71073, _71209], [482 ^ [], 485 ^ []]]))).
% 0.33/1.40 ncf('1.1.2.2.1',plain,[-(ilf_type(485 ^ [], set_type))],lemmata('[1].x')).
% 0.33/1.40 ncf('1.1.2.2.2',plain,[-(ilf_type(482 ^ [], set_type))],extension(484 ^ 10)).
% 0.33/1.40 ncf('1.1.2.3',plain,[-(ilf_type(cross_product(482 ^ [], 485 ^ []), set_type)), 202 : ilf_type(485 ^ [], set_type), 202 : ilf_type(482 ^ [], set_type)],extension(198 ^ 7,bind([[_71073, _71209], [482 ^ [], 485 ^ []]]))).
% 0.33/1.40 ncf('1.1.2.3.1',plain,[-(ilf_type(485 ^ [], set_type))],lemmata('[1].x')).
% 0.33/1.40 ncf('1.1.2.3.2',plain,[-(ilf_type(482 ^ [], set_type))],extension(484 ^ 8)).
% 0.33/1.40 ncf('1.1.3',plain,[-(ilf_type(482 ^ [], set_type))],extension(484 ^ 4)).
% 0.33/1.40 ncf('1.1.4',plain,[-(ilf_type(cross_product(482 ^ [], 485 ^ []), set_type)), 202 : ilf_type(485 ^ [], set_type), 202 : ilf_type(482 ^ [], set_type)],extension(198 ^ 2,bind([[_71073, _71209], [482 ^ [], 485 ^ []]]))).
% 0.33/1.40 ncf('1.1.4.1',plain,[-(ilf_type(485 ^ [], set_type))],extension(487 ^ 5)).
% 0.33/1.40 ncf('1.1.4.2',plain,[-(ilf_type(482 ^ [], set_type))],extension(484 ^ 3)).
% 0.33/1.40 %-----------------------------------------------------
% 0.33/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------