TSTP Solution File: SEU321+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 12:03:08 EDT 2023
% Result : Theorem 0.80s 1.37s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n008.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 13:35:09 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.80/1.37
% 0.80/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.80/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/1.37 %-----------------------------------------------------
% 0.80/1.37 ncf(matrix, plain, [(600 ^ _82071) ^ [] : [empty_carrier(598 ^ [])], (602 ^ _82071) ^ [] : [-(one_sorted_str(598 ^ []))], (605 ^ _82071) ^ [] : [-(element(603 ^ [], powerset(the_carrier(598 ^ []))))], (608 ^ _82071) ^ [] : [-(element(606 ^ [], the_carrier(598 ^ [])))], (610 ^ _82071) ^ [] : [611 ^ _82071 : [(612 ^ _82071) ^ [] : [-(in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ [])))], (614 ^ _82071) ^ [] : [-(in(606 ^ [], 603 ^ []))]], 615 ^ _82071 : [(616 ^ _82071) ^ [] : [in(606 ^ [], 603 ^ [])], (618 ^ _82071) ^ [] : [in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ []))]]], (192 ^ _82071) ^ [_88022, _88024] : [_88024 = _88022, -(powerset(_88024) = powerset(_88022))], (208 ^ _82071) ^ [_88579, _88581] : [_88581 = _88579, -(the_carrier(_88581) = the_carrier(_88579))], (198 ^ _82071) ^ [_88268, _88270, _88272, _88274] : [-(subset_complement(_88274, _88270) = subset_complement(_88272, _88268)), _88274 = _88272, _88270 = _88268], (2 ^ _82071) ^ [_82215] : [-(_82215 = _82215)], (4 ^ _82071) ^ [_82322, _82324] : [_82324 = _82322, -(_82322 = _82324)], (10 ^ _82071) ^ [_82526, _82528, _82530] : [-(_82530 = _82526), _82530 = _82528, _82528 = _82526], (20 ^ _82071) ^ [_82839, _82841] : [-(v1_xcmplx_0(_82839)), _82841 = _82839, v1_xcmplx_0(_82841)], (30 ^ _82071) ^ [_83134, _83136] : [-(natural(_83134)), _83136 = _83134, natural(_83136)], (40 ^ _82071) ^ [_83429, _83431] : [-(v1_xreal_0(_83429)), _83431 = _83429, v1_xreal_0(_83431)], (50 ^ _82071) ^ [_83724, _83726] : [-(v1_int_1(_83724)), _83726 = _83724, v1_int_1(_83726)], (60 ^ _82071) ^ [_84019, _84021] : [-(v1_rat_1(_84019)), _84021 = _84019, v1_rat_1(_84021)], (70 ^ _82071) ^ [_84314, _84316] : [-(v1_membered(_84314)), _84316 = _84314, v1_membered(_84316)], (80 ^ _82071) ^ [_84609, _84611] : [-(v2_membered(_84609)), _84611 = _84609, v2_membered(_84611)], (90 ^ _82071) ^ [_84904, _84906] : [-(v3_membered(_84904)), _84906 = _84904, v3_membered(_84906)], (100 ^ _82071) ^ [_85199, _85201] : [-(v4_membered(_85199)), _85201 = _85199, v4_membered(_85201)], (110 ^ _82071) ^ [_85494, _85496] : [-(v5_membered(_85494)), _85496 = _85494, v5_membered(_85496)], (120 ^ _82071) ^ [_85817, _85819, _85821, _85823] : [-(subset(_85821, _85817)), subset(_85823, _85819), _85823 = _85821, _85819 = _85817], (134 ^ _82071) ^ [_86233, _86235] : [-(empty(_86233)), _86235 = _86233, empty(_86235)], (144 ^ _82071) ^ [_86528, _86530] : [-(empty_carrier(_86528)), _86530 = _86528, empty_carrier(_86530)], (154 ^ _82071) ^ [_86823, _86825] : [-(one_sorted_str(_86823)), _86825 = _86823, one_sorted_str(_86825)], (164 ^ _82071) ^ [_87146, _87148, _87150, _87152] : [-(element(_87150, _87146)), element(_87152, _87148), _87152 = _87150, _87148 = _87146], (178 ^ _82071) ^ [_87570, _87572, _87574, _87576] : [-(in(_87574, _87570)), in(_87576, _87572), _87576 = _87574, _87572 = _87570], (214 ^ _82071) ^ [_88824, _88826] : [-(subset(_88826, _88826))], (216 ^ _82071) ^ [_88919] : [224 ^ _82071 : [(225 ^ _82071) ^ [] : [-(element(223 ^ [_88919], powerset(the_carrier(_88919))))], (227 ^ _82071) ^ [] : [empty(223 ^ [_88919])]], -(empty_carrier(_88919)), one_sorted_str(_88919)], (229 ^ _82071) ^ [_89340] : [v5_membered(_89340), -(v4_membered(_89340))], (235 ^ _82071) ^ [_89526] : [v4_membered(_89526), -(v3_membered(_89526))], (241 ^ _82071) ^ [_89712] : [v3_membered(_89712), -(v2_membered(_89712))], (247 ^ _82071) ^ [_89898] : [v2_membered(_89898), -(v1_membered(_89898))], (254 ^ _82071) ^ [] : [empty(252 ^ [])], (256 ^ _82071) ^ [] : [-(v1_membered(252 ^ []))], (258 ^ _82071) ^ [] : [-(v2_membered(252 ^ []))], (260 ^ _82071) ^ [] : [-(v3_membered(252 ^ []))], (262 ^ _82071) ^ [] : [-(v4_membered(252 ^ []))], (264 ^ _82071) ^ [] : [-(v5_membered(252 ^ []))], (266 ^ _82071) ^ [_90474] : [v1_membered(_90474), 269 ^ _82071 : [(270 ^ _82071) ^ [_90604] : [element(_90604, _90474), -(v1_xcmplx_0(_90604))]]], (276 ^ _82071) ^ [_90805] : [v2_membered(_90805), 279 ^ _82071 : [(280 ^ _82071) ^ [_90940] : [element(_90940, _90805), 283 ^ _82071 : [(284 ^ _82071) ^ [] : [-(v1_xcmplx_0(_90940))], (286 ^ _82071) ^ [] : [-(v1_xreal_0(_90940))]]]]], (288 ^ _82071) ^ [_91214] : [v3_membered(_91214), 291 ^ _82071 : [(292 ^ _82071) ^ [_91354] : [element(_91354, _91214), 295 ^ _82071 : [(296 ^ _82071) ^ [] : [-(v1_xcmplx_0(_91354))], (298 ^ _82071) ^ [] : [-(v1_xreal_0(_91354))], (300 ^ _82071) ^ [] : [-(v1_rat_1(_91354))]]]]], (302 ^ _82071) ^ [_91700] : [v4_membered(_91700), 305 ^ _82071 : [(306 ^ _82071) ^ [_91845] : [element(_91845, _91700), 309 ^ _82071 : [(310 ^ _82071) ^ [] : [-(v1_xcmplx_0(_91845))], (312 ^ _82071) ^ [] : [-(v1_xreal_0(_91845))], (314 ^ _82071) ^ [] : [-(v1_int_1(_91845))], (316 ^ _82071) ^ [] : [-(v1_rat_1(_91845))]]]]], (318 ^ _82071) ^ [_92263] : [v5_membered(_92263), 321 ^ _82071 : [(322 ^ _82071) ^ [_92413] : [element(_92413, _92263), 325 ^ _82071 : [(326 ^ _82071) ^ [] : [-(v1_xcmplx_0(_92413))], (328 ^ _82071) ^ [] : [-(natural(_92413))], (330 ^ _82071) ^ [] : [-(v1_xreal_0(_92413))], (332 ^ _82071) ^ [] : [-(v1_int_1(_92413))], (334 ^ _82071) ^ [] : [-(v1_rat_1(_92413))]]]]], (336 ^ _82071) ^ [_92903] : [empty(_92903), 339 ^ _82071 : [(340 ^ _82071) ^ [] : [-(v1_membered(_92903))], (342 ^ _82071) ^ [] : [-(v2_membered(_92903))], (344 ^ _82071) ^ [] : [-(v3_membered(_92903))], (346 ^ _82071) ^ [] : [-(v4_membered(_92903))], (348 ^ _82071) ^ [] : [-(v5_membered(_92903))]]], (350 ^ _82071) ^ [_93370] : [v1_membered(_93370), 353 ^ _82071 : [(354 ^ _82071) ^ [_93502] : [element(_93502, powerset(_93370)), -(v1_membered(_93502))]]], (360 ^ _82071) ^ [_93707] : [v2_membered(_93707), 363 ^ _82071 : [(364 ^ _82071) ^ [_93844] : [element(_93844, powerset(_93707)), 367 ^ _82071 : [(368 ^ _82071) ^ [] : [-(v1_membered(_93844))], (370 ^ _82071) ^ [] : [-(v2_membered(_93844))]]]]], (372 ^ _82071) ^ [_94122] : [v3_membered(_94122), 375 ^ _82071 : [(376 ^ _82071) ^ [_94264] : [element(_94264, powerset(_94122)), 379 ^ _82071 : [(380 ^ _82071) ^ [] : [-(v1_membered(_94264))], (382 ^ _82071) ^ [] : [-(v2_membered(_94264))], (384 ^ _82071) ^ [] : [-(v3_membered(_94264))]]]]], (386 ^ _82071) ^ [_94614] : [v4_membered(_94614), 389 ^ _82071 : [(390 ^ _82071) ^ [_94761] : [element(_94761, powerset(_94614)), 393 ^ _82071 : [(394 ^ _82071) ^ [] : [-(v1_membered(_94761))], (396 ^ _82071) ^ [] : [-(v2_membered(_94761))], (398 ^ _82071) ^ [] : [-(v3_membered(_94761))], (400 ^ _82071) ^ [] : [-(v4_membered(_94761))]]]]], (402 ^ _82071) ^ [_95183] : [v5_membered(_95183), 405 ^ _82071 : [(406 ^ _82071) ^ [_95335] : [element(_95335, powerset(_95183)), 409 ^ _82071 : [(410 ^ _82071) ^ [] : [-(v1_membered(_95335))], (412 ^ _82071) ^ [] : [-(v2_membered(_95335))], (414 ^ _82071) ^ [] : [-(v3_membered(_95335))], (416 ^ _82071) ^ [] : [-(v4_membered(_95335))], (418 ^ _82071) ^ [] : [-(v5_membered(_95335))]]]]], (420 ^ _82071) ^ [_95843, _95845] : [element(_95845, _95843), -(empty(_95843)), -(in(_95845, _95843))], (430 ^ _82071) ^ [_96155, _96157, _96159] : [in(_96159, _96157), element(_96157, powerset(_96155)), empty(_96155)], (440 ^ _82071) ^ [_96465, _96467] : [empty(_96467), -(_96467 = _96465), empty(_96465)], (450 ^ _82071) ^ [_96762, _96764] : [element(_96762, powerset(_96764)), -(subset_complement(_96764, subset_complement(_96764, _96762)) = _96762)], (456 ^ _82071) ^ [_96988, _96990] : [in(_96990, _96988), in(_96988, _96990)], (463 ^ _82071) ^ [] : [-(one_sorted_str(461 ^ []))], (466 ^ _82071) ^ [_97298] : [-(element(464 ^ [_97298], _97298))], (468 ^ _82071) ^ [] : [true___, -(true___)], (474 ^ _82071) ^ [] : [true___, -(true___)], (480 ^ _82071) ^ [_97648, _97650] : [element(_97648, powerset(_97650)), -(element(subset_complement(_97650, _97648), powerset(_97650)))], (486 ^ _82071) ^ [] : [true___, -(true___)], (492 ^ _82071) ^ [] : [true___, -(true___)], (498 ^ _82071) ^ [] : [true___, -(true___)], (505 ^ _82071) ^ [] : [-(one_sorted_str(503 ^ []))], (507 ^ _82071) ^ [] : [empty_carrier(503 ^ [])], (509 ^ _82071) ^ [_98365] : [empty(the_carrier(_98365)), -(empty_carrier(_98365)), one_sorted_str(_98365)], (519 ^ _82071) ^ [] : [-(empty(empty_set))], (521 ^ _82071) ^ [] : [-(v1_membered(empty_set))], (523 ^ _82071) ^ [] : [-(v2_membered(empty_set))], (525 ^ _82071) ^ [] : [-(v3_membered(empty_set))], (527 ^ _82071) ^ [] : [-(v4_membered(empty_set))], (529 ^ _82071) ^ [] : [-(v5_membered(empty_set))], (531 ^ _82071) ^ [_98984, _98986] : [in(_98986, _98984), -(element(_98986, _98984))], (537 ^ _82071) ^ [_99223, _99225] : [element(_99225, powerset(_99223)), -(subset(_99225, _99223))], (543 ^ _82071) ^ [_99389, _99391] : [subset(_99391, _99389), -(element(_99391, powerset(_99389)))], (549 ^ _82071) ^ [_99619, _99621, _99623] : [-(element(_99623, _99619)), in(_99623, _99621), element(_99621, powerset(_99619))], (559 ^ _82071) ^ [_99918] : [empty(_99918), -(_99918 = empty_set)], (565 ^ _82071) ^ [_100120, _100122] : [in(_100122, _100120), empty(_100120)], (589 ^ _82071) ^ [_100953, _100955, _100957] : [element(_100953, powerset(_100957)), in(_100955, subset_complement(_100957, _100953)), in(_100955, _100953)], (571 ^ _82071) ^ [_100313] : [-(_100313 = empty_set), 574 ^ _82071 : [(575 ^ _82071) ^ [_100473] : [element(_100473, powerset(_100313)), 578 ^ _82071 : [(579 ^ _82071) ^ [_100627] : [element(_100627, _100313), -(in(_100627, _100473)), -(in(_100627, subset_complement(_100313, _100473)))]]]]]], input).
% 0.80/1.37 ncf('1',plain,[element(603 ^ [], powerset(the_carrier(598 ^ []))), in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ [])), in(606 ^ [], 603 ^ [])],start(589 ^ 0,bind([[_100953, _100955, _100957], [603 ^ [], 606 ^ [], the_carrier(598 ^ [])]]))).
% 0.80/1.37 ncf('1.1',plain,[-(element(603 ^ [], powerset(the_carrier(598 ^ []))))],extension(605 ^ 1)).
% 0.80/1.37 ncf('1.2',plain,[-(in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ []))), 579 : element(606 ^ [], the_carrier(598 ^ [])), 579 : -(in(606 ^ [], 603 ^ [])), 579 : element(603 ^ [], powerset(the_carrier(598 ^ []))), 575 : -(the_carrier(598 ^ []) = empty_set)],extension(571 ^ 1,bind([[_100313, _100473, _100627], [the_carrier(598 ^ []), 603 ^ [], 606 ^ []]]))).
% 0.80/1.37 ncf('1.2.1',plain,[-(element(606 ^ [], the_carrier(598 ^ [])))],extension(608 ^ 6)).
% 0.80/1.37 ncf('1.2.2',plain,[in(606 ^ [], 603 ^ []), 612 : -(in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ [])))],extension(610 ^ 6)).
% 0.80/1.37 ncf('1.2.2.1',plain,[in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ []))],reduction('1')).
% 0.80/1.37 ncf('1.2.3',plain,[-(element(603 ^ [], powerset(the_carrier(598 ^ []))))],lemmata('x')).
% 0.80/1.37 ncf('1.2.4',plain,[the_carrier(598 ^ []) = empty_set, -(empty_set = the_carrier(598 ^ []))],extension(4 ^ 2,bind([[_82322, _82324], [empty_set, the_carrier(598 ^ [])]]))).
% 0.80/1.37 ncf('1.2.4.1',plain,[empty_set = the_carrier(598 ^ []), -(empty(the_carrier(598 ^ []))), empty(empty_set)],extension(134 ^ 3,bind([[_86233, _86235], [the_carrier(598 ^ []), empty_set]]))).
% 0.80/1.37 ncf('1.2.4.1.1',plain,[empty(the_carrier(598 ^ [])), -(empty_carrier(598 ^ [])), one_sorted_str(598 ^ [])],extension(509 ^ 4,bind([[_98365], [598 ^ []]]))).
% 0.80/1.37 ncf('1.2.4.1.1.1',plain,[empty_carrier(598 ^ [])],extension(600 ^ 5)).
% 0.80/1.37 ncf('1.2.4.1.1.2',plain,[-(one_sorted_str(598 ^ []))],extension(602 ^ 5)).
% 0.80/1.37 ncf('1.2.4.1.2',plain,[-(empty(empty_set))],extension(519 ^ 4)).
% 0.80/1.37 ncf('1.3',plain,[-(in(606 ^ [], 603 ^ [])), 618 : in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ []))],extension(610 ^ 1)).
% 0.80/1.37 ncf('1.3.1',plain,[-(in(606 ^ [], subset_complement(the_carrier(598 ^ []), 603 ^ [])))],lemmata('x')).
% 0.80/1.37 %-----------------------------------------------------
% 0.80/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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