TSTP Solution File: SEU294+1 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU294+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:03:01 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU294+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 13:42:03 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(543 ^ _70744) ^ [] : [-(subset(540 ^ [], 541 ^ []))], (545 ^ _70744) ^ [] : [-(finite(541 ^ []))], (547 ^ _70744) ^ [] : [finite(540 ^ [])], (162 ^ _70744) ^ [_75784, _75786] : [_75786 = _75784, -(powerset(_75786) = powerset(_75784))], (2 ^ _70744) ^ [_70888] : [-(_70888 = _70888)], (4 ^ _70744) ^ [_70995, _70997] : [_70997 = _70995, -(_70995 = _70997)], (10 ^ _70744) ^ [_71199, _71201, _71203] : [-(_71203 = _71199), _71203 = _71201, _71201 = _71199], (20 ^ _70744) ^ [_71512, _71514] : [-(natural(_71512)), _71514 = _71512, natural(_71514)], (30 ^ _70744) ^ [_71807, _71809] : [-(one_to_one(_71807)), _71809 = _71807, one_to_one(_71809)], (40 ^ _70744) ^ [_72102, _72104] : [-(epsilon_transitive(_72102)), _72104 = _72102, epsilon_transitive(_72104)], (50 ^ _70744) ^ [_72397, _72399] : [-(epsilon_connected(_72397)), _72399 = _72397, epsilon_connected(_72399)], (60 ^ _70744) ^ [_72692, _72694] : [-(ordinal(_72692)), _72694 = _72692, ordinal(_72694)], (70 ^ _70744) ^ [_72987, _72989] : [-(relation(_72987)), _72989 = _72987, relation(_72989)], (80 ^ _70744) ^ [_73282, _73284] : [-(relation_empty_yielding(_73282)), _73284 = _73282, relation_empty_yielding(_73284)], (90 ^ _70744) ^ [_73577, _73579] : [-(function(_73577)), _73579 = _73577, function(_73579)], (100 ^ _70744) ^ [_73900, _73902, _73904, _73906] : [-(element(_73904, _73900)), element(_73906, _73902), _73906 = _73904, _73902 = _73900], (114 ^ _70744) ^ [_74344, _74346, _74348, _74350] : [-(in(_74348, _74344)), in(_74350, _74346), _74350 = _74348, _74346 = _74344], (128 ^ _70744) ^ [_74760, _74762] : [-(empty(_74760)), _74762 = _74760, empty(_74762)], (152 ^ _70744) ^ [_75479, _75481] : [-(finite(_75479)), _75481 = _75479, finite(_75481)], (138 ^ _70744) ^ [_75083, _75085, _75087, _75089] : [-(subset(_75087, _75083)), subset(_75089, _75085), _75089 = _75087, _75085 = _75083], (168 ^ _70744) ^ [_76004, _76006] : [in(_76006, _76004), in(_76004, _76006)], (174 ^ _70744) ^ [_76201] : [ordinal(_76201), 177 ^ _70744 : [(178 ^ _70744) ^ [_76341] : [element(_76341, _76201), 181 ^ _70744 : [(182 ^ _70744) ^ [] : [-(epsilon_transitive(_76341))], (184 ^ _70744) ^ [] : [-(epsilon_connected(_76341))], (186 ^ _70744) ^ [] : [-(ordinal(_76341))]]]]], (188 ^ _70744) ^ [_76687] : [empty(_76687), -(finite(_76687))], (194 ^ _70744) ^ [_76873] : [empty(_76873), -(function(_76873))], (200 ^ _70744) ^ [_77059] : [ordinal(_77059), 203 ^ _70744 : [(204 ^ _70744) ^ [] : [-(epsilon_transitive(_77059))], (206 ^ _70744) ^ [] : [-(epsilon_connected(_77059))]]], (208 ^ _70744) ^ [_77316] : [empty(_77316), -(relation(_77316))], (214 ^ _70744) ^ [_77502] : [221 ^ _70744 : [(222 ^ _70744) ^ [] : [-(epsilon_transitive(_77502))], (224 ^ _70744) ^ [] : [-(epsilon_connected(_77502))], (226 ^ _70744) ^ [] : [-(ordinal(_77502))], (228 ^ _70744) ^ [] : [-(natural(_77502))]], empty(_77502), ordinal(_77502)], (230 ^ _70744) ^ [_77982] : [finite(_77982), 233 ^ _70744 : [(234 ^ _70744) ^ [_78114] : [element(_78114, powerset(_77982)), -(finite(_78114))]]], (240 ^ _70744) ^ [_78319] : [251 ^ _70744 : [(252 ^ _70744) ^ [] : [-(relation(_78319))], (254 ^ _70744) ^ [] : [-(function(_78319))], (256 ^ _70744) ^ [] : [-(one_to_one(_78319))]], relation(_78319), empty(_78319), function(_78319)], (258 ^ _70744) ^ [_78812] : [-(ordinal(_78812)), epsilon_transitive(_78812), epsilon_connected(_78812)], (268 ^ _70744) ^ [_79081] : [empty(_79081), 271 ^ _70744 : [(272 ^ _70744) ^ [] : [-(epsilon_transitive(_79081))], (274 ^ _70744) ^ [] : [-(epsilon_connected(_79081))], (276 ^ _70744) ^ [] : [-(ordinal(_79081))]]], (278 ^ _70744) ^ [] : [true___, -(true___)], (284 ^ _70744) ^ [] : [true___, -(true___)], (290 ^ _70744) ^ [] : [true___, -(true___)], (297 ^ _70744) ^ [_79789] : [-(element(295 ^ [_79789], _79789))], (299 ^ _70744) ^ [] : [-(empty(empty_set))], (301 ^ _70744) ^ [] : [-(relation(empty_set))], (303 ^ _70744) ^ [] : [-(relation_empty_yielding(empty_set))], (305 ^ _70744) ^ [_80034] : [empty(powerset(_80034))], (307 ^ _70744) ^ [] : [-(empty(empty_set))], (309 ^ _70744) ^ [] : [-(relation(empty_set))], (311 ^ _70744) ^ [] : [-(relation_empty_yielding(empty_set))], (313 ^ _70744) ^ [] : [-(function(empty_set))], (315 ^ _70744) ^ [] : [-(one_to_one(empty_set))], (317 ^ _70744) ^ [] : [-(empty(empty_set))], (319 ^ _70744) ^ [] : [-(epsilon_transitive(empty_set))], (321 ^ _70744) ^ [] : [-(epsilon_connected(empty_set))], (323 ^ _70744) ^ [] : [-(ordinal(empty_set))], (325 ^ _70744) ^ [] : [-(empty(empty_set))], (327 ^ _70744) ^ [] : [-(relation(empty_set))], (330 ^ _70744) ^ [] : [empty(328 ^ [])], (332 ^ _70744) ^ [] : [-(epsilon_transitive(328 ^ []))], (334 ^ _70744) ^ [] : [-(epsilon_connected(328 ^ []))], (336 ^ _70744) ^ [] : [-(ordinal(328 ^ []))], (338 ^ _70744) ^ [] : [-(natural(328 ^ []))], (341 ^ _70744) ^ [] : [empty(339 ^ [])], (343 ^ _70744) ^ [] : [-(finite(339 ^ []))], (346 ^ _70744) ^ [] : [-(relation(344 ^ []))], (348 ^ _70744) ^ [] : [-(function(344 ^ []))], (351 ^ _70744) ^ [] : [-(epsilon_transitive(349 ^ []))], (353 ^ _70744) ^ [] : [-(epsilon_connected(349 ^ []))], (355 ^ _70744) ^ [] : [-(ordinal(349 ^ []))], (358 ^ _70744) ^ [] : [-(empty(356 ^ []))], (360 ^ _70744) ^ [] : [-(relation(356 ^ []))], (362 ^ _70744) ^ [_81714] : [-(empty(_81714)), 366 ^ _70744 : [(367 ^ _70744) ^ [] : [-(element(365 ^ [_81714], powerset(_81714)))], (369 ^ _70744) ^ [] : [empty(365 ^ [_81714])]]], (372 ^ _70744) ^ [] : [-(empty(370 ^ []))], (375 ^ _70744) ^ [_82226] : [-(element(373 ^ [_82226], powerset(_82226)))], (377 ^ _70744) ^ [_82297] : [-(empty(373 ^ [_82297]))], (379 ^ _70744) ^ [_82365] : [-(relation(373 ^ [_82365]))], (381 ^ _70744) ^ [_82433] : [-(function(373 ^ [_82433]))], (383 ^ _70744) ^ [_82501] : [-(one_to_one(373 ^ [_82501]))], (385 ^ _70744) ^ [_82569] : [-(epsilon_transitive(373 ^ [_82569]))], (387 ^ _70744) ^ [_82637] : [-(epsilon_connected(373 ^ [_82637]))], (389 ^ _70744) ^ [_82705] : [-(ordinal(373 ^ [_82705]))], (391 ^ _70744) ^ [_82773] : [-(natural(373 ^ [_82773]))], (393 ^ _70744) ^ [_82821] : [-(finite(373 ^ [_82821]))], (396 ^ _70744) ^ [] : [-(relation(394 ^ []))], (398 ^ _70744) ^ [] : [-(empty(394 ^ []))], (400 ^ _70744) ^ [] : [-(function(394 ^ []))], (403 ^ _70744) ^ [] : [-(relation(401 ^ []))], (405 ^ _70744) ^ [] : [-(function(401 ^ []))], (407 ^ _70744) ^ [] : [-(one_to_one(401 ^ []))], (409 ^ _70744) ^ [] : [-(empty(401 ^ []))], (411 ^ _70744) ^ [] : [-(epsilon_transitive(401 ^ []))], (413 ^ _70744) ^ [] : [-(epsilon_connected(401 ^ []))], (415 ^ _70744) ^ [] : [-(ordinal(401 ^ []))], (418 ^ _70744) ^ [] : [empty(416 ^ [])], (420 ^ _70744) ^ [] : [-(relation(416 ^ []))], (423 ^ _70744) ^ [_83795] : [-(element(421 ^ [_83795], powerset(_83795)))], (425 ^ _70744) ^ [_83846] : [-(empty(421 ^ [_83846]))], (428 ^ _70744) ^ [] : [empty(426 ^ [])], (430 ^ _70744) ^ [_84035] : [-(empty(_84035)), 434 ^ _70744 : [(435 ^ _70744) ^ [] : [-(element(433 ^ [_84035], powerset(_84035)))], (437 ^ _70744) ^ [] : [empty(433 ^ [_84035])], (439 ^ _70744) ^ [] : [-(finite(433 ^ [_84035]))]]], (442 ^ _70744) ^ [] : [-(relation(440 ^ []))], (444 ^ _70744) ^ [] : [-(function(440 ^ []))], (446 ^ _70744) ^ [] : [-(one_to_one(440 ^ []))], (449 ^ _70744) ^ [] : [empty(447 ^ [])], (451 ^ _70744) ^ [] : [-(epsilon_transitive(447 ^ []))], (453 ^ _70744) ^ [] : [-(epsilon_connected(447 ^ []))], (455 ^ _70744) ^ [] : [-(ordinal(447 ^ []))], (458 ^ _70744) ^ [] : [-(relation(456 ^ []))], (460 ^ _70744) ^ [] : [-(relation_empty_yielding(456 ^ []))], (463 ^ _70744) ^ [] : [-(relation(461 ^ []))], (465 ^ _70744) ^ [] : [-(relation_empty_yielding(461 ^ []))], (467 ^ _70744) ^ [] : [-(function(461 ^ []))], (469 ^ _70744) ^ [_85283, _85285] : [-(subset(_85285, _85285))], (471 ^ _70744) ^ [_85392, _85394] : [in(_85394, _85392), -(element(_85394, _85392))], (477 ^ _70744) ^ [_85602, _85604] : [element(_85604, _85602), -(empty(_85602)), -(in(_85604, _85602))], (487 ^ _70744) ^ [_85929, _85931] : [element(_85931, powerset(_85929)), -(subset(_85931, _85929))], (493 ^ _70744) ^ [_86095, _86097] : [subset(_86097, _86095), -(element(_86097, powerset(_86095)))], (499 ^ _70744) ^ [_86325, _86327, _86329] : [-(element(_86329, _86325)), in(_86329, _86327), element(_86327, powerset(_86325))], (509 ^ _70744) ^ [_86652, _86654, _86656] : [in(_86656, _86654), element(_86654, powerset(_86652)), empty(_86652)], (519 ^ _70744) ^ [_86948] : [empty(_86948), -(_86948 = empty_set)], (525 ^ _70744) ^ [_87150, _87152] : [in(_87152, _87150), empty(_87150)], (531 ^ _70744) ^ [_87337, _87339] : [empty(_87339), -(_87339 = _87337), empty(_87337)]], input).
% 0.33/1.38  ncf('1',plain,[finite(540 ^ [])],start(547 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(finite(540 ^ [])), 234 : element(540 ^ [], powerset(541 ^ [])), 234 : finite(541 ^ [])],extension(230 ^ 1,bind([[_77982, _78114], [541 ^ [], 540 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(element(540 ^ [], powerset(541 ^ []))), subset(540 ^ [], 541 ^ [])],extension(493 ^ 4,bind([[_86095, _86097], [541 ^ [], 540 ^ []]]))).
% 0.33/1.38  ncf('1.1.1.1',plain,[-(subset(540 ^ [], 541 ^ []))],extension(543 ^ 5)).
% 0.33/1.38  ncf('1.1.2',plain,[-(finite(541 ^ []))],extension(545 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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