%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n005.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 1.09s 1.37s
% Output   : Proof 1.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n005.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 13:31:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 1.09/1.37  
% 1.09/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.09/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/1.37  %-----------------------------------------------------
% 1.09/1.37  ncf(matrix, plain, [(523 ^ _72674) ^ [] : [-(finite(521 ^ []))], (525 ^ _72674) ^ [] : [finite_subsets(521 ^ []) = powerset(521 ^ [])], (192 ^ _72674) ^ [_78625, _78627] : [_78627 = _78625, -(finite_subsets(_78627) = finite_subsets(_78625))], (198 ^ _72674) ^ [_78823, _78825] : [_78825 = _78823, -(powerset(_78825) = powerset(_78823))], (2 ^ _72674) ^ [_72818] : [-(_72818 = _72818)], (4 ^ _72674) ^ [_72925, _72927] : [_72927 = _72925, -(_72925 = _72927)], (10 ^ _72674) ^ [_73129, _73131, _73133] : [-(_73133 = _73129), _73133 = _73131, _73131 = _73129], (20 ^ _72674) ^ [_73442, _73444] : [-(cup_closed(_73442)), _73444 = _73442, cup_closed(_73444)], (30 ^ _72674) ^ [_73737, _73739] : [-(cap_closed(_73737)), _73739 = _73737, cap_closed(_73739)], (40 ^ _72674) ^ [_74032, _74034] : [-(diff_closed(_74032)), _74034 = _74032, diff_closed(_74034)], (50 ^ _72674) ^ [_74327, _74329] : [-(preboolean(_74327)), _74329 = _74327, preboolean(_74329)], (60 ^ _72674) ^ [_74622, _74624] : [-(relation(_74622)), _74624 = _74622, relation(_74624)], (70 ^ _72674) ^ [_74917, _74919] : [-(function(_74917)), _74919 = _74917, function(_74919)], (80 ^ _72674) ^ [_75212, _75214] : [-(one_to_one(_75212)), _75214 = _75212, one_to_one(_75214)], (90 ^ _72674) ^ [_75507, _75509] : [-(epsilon_transitive(_75507)), _75509 = _75507, epsilon_transitive(_75509)], (100 ^ _72674) ^ [_75802, _75804] : [-(epsilon_connected(_75802)), _75804 = _75802, epsilon_connected(_75804)], (110 ^ _72674) ^ [_76097, _76099] : [-(ordinal(_76097)), _76099 = _76097, ordinal(_76099)], (120 ^ _72674) ^ [_76392, _76394] : [-(natural(_76392)), _76394 = _76392, natural(_76394)], (130 ^ _72674) ^ [_76715, _76717, _76719, _76721] : [-(subset(_76719, _76715)), subset(_76721, _76717), _76721 = _76719, _76717 = _76715], (144 ^ _72674) ^ [_77159, _77161, _77163, _77165] : [-(element(_77163, _77159)), element(_77165, _77161), _77165 = _77163, _77161 = _77159], (158 ^ _72674) ^ [_77603, _77605, _77607, _77609] : [-(in(_77607, _77603)), in(_77609, _77605), _77609 = _77607, _77605 = _77603], (172 ^ _72674) ^ [_78019, _78021] : [-(empty(_78019)), _78021 = _78019, empty(_78021)], (182 ^ _72674) ^ [_78294, _78296] : [-(finite(_78294)), _78296 = _78294, finite(_78296)], (204 ^ _72674) ^ [_79079, _79081] : [in(_79081, _79079), in(_79079, _79081)], (210 ^ _72674) ^ [_79276] : [empty(_79276), -(finite(_79276))], (216 ^ _72674) ^ [_79462] : [preboolean(_79462), 219 ^ _72674 : [(220 ^ _72674) ^ [] : [-(cup_closed(_79462))], (222 ^ _72674) ^ [] : [-(diff_closed(_79462))]]], (224 ^ _72674) ^ [_79719] : [finite(_79719), 227 ^ _72674 : [(228 ^ _72674) ^ [_79851] : [element(_79851, powerset(_79719)), -(finite(_79851))]]], (234 ^ _72674) ^ [_80056] : [-(preboolean(_80056)), cup_closed(_80056), diff_closed(_80056)], (244 ^ _72674) ^ [_80339, _80341] : [element(_80339, finite_subsets(_80341)), -(finite(_80339))], (250 ^ _72674) ^ [_80580, _80582] : [_80582 = _80580, 253 ^ _72674 : [(254 ^ _72674) ^ [] : [-(subset(_80582, _80580))], (256 ^ _72674) ^ [] : [-(subset(_80580, _80582))]]], (258 ^ _72674) ^ [_80817, _80819] : [-(_80819 = _80817), subset(_80819, _80817), subset(_80817, _80819)], (278 ^ _72674) ^ [_81461, _81463] : [280 ^ _72674 : [(281 ^ _72674) ^ [] : [-(in(279 ^ [_81461, _81463], _81463))], (283 ^ _72674) ^ [] : [in(279 ^ [_81461, _81463], _81461)]], -(subset(_81463, _81461))], (268 ^ _72674) ^ [_81147, _81149] : [subset(_81149, _81147), 271 ^ _72674 : [(272 ^ _72674) ^ [_81284] : [in(_81284, _81149), -(in(_81284, _81147))]]], (287 ^ _72674) ^ [_81818, _81820] : [preboolean(_81818), 290 ^ _72674 : [(313 ^ _72674) ^ [] : [-(_81818 = finite_subsets(_81820)), 325 ^ _72674 : [(326 ^ _72674) ^ [] : [-(subset(314 ^ [_81818, _81820], _81820))], (328 ^ _72674) ^ [] : [-(finite(314 ^ [_81818, _81820]))], (330 ^ _72674) ^ [] : [in(314 ^ [_81818, _81820], _81818)]], 317 ^ _72674 : [(318 ^ _72674) ^ [] : [-(in(314 ^ [_81818, _81820], _81818))], (320 ^ _72674) ^ [] : [subset(314 ^ [_81818, _81820], _81820), finite(314 ^ [_81818, _81820])]]], (291 ^ _72674) ^ [] : [_81818 = finite_subsets(_81820), 294 ^ _72674 : [(295 ^ _72674) ^ [_82105] : [in(_82105, _81818), 298 ^ _72674 : [(299 ^ _72674) ^ [] : [-(subset(_82105, _81820))], (301 ^ _72674) ^ [] : [-(finite(_82105))]]], (303 ^ _72674) ^ [_82352] : [-(in(_82352, _81818)), subset(_82352, _81820), finite(_82352)]]]]], (334 ^ _72674) ^ [_83258] : [-(preboolean(finite_subsets(_83258)))], (337 ^ _72674) ^ [_83376] : [-(element(335 ^ [_83376], _83376))], (339 ^ _72674) ^ [_83478] : [empty(powerset(_83478))], (341 ^ _72674) ^ [_83543] : [-(cup_closed(powerset(_83543)))], (343 ^ _72674) ^ [_83608] : [-(diff_closed(powerset(_83608)))], (345 ^ _72674) ^ [_83653] : [-(preboolean(powerset(_83653)))], (347 ^ _72674) ^ [_83737] : [empty(powerset(_83737))], (349 ^ _72674) ^ [] : [-(empty(empty_set))], (351 ^ _72674) ^ [_83888] : [empty(finite_subsets(_83888))], (353 ^ _72674) ^ [_83953] : [-(cup_closed(finite_subsets(_83953)))], (355 ^ _72674) ^ [_84018] : [-(diff_closed(finite_subsets(_84018)))], (357 ^ _72674) ^ [_84063] : [-(preboolean(finite_subsets(_84063)))], (360 ^ _72674) ^ [] : [empty(358 ^ [])], (362 ^ _72674) ^ [] : [-(finite(358 ^ []))], (365 ^ _72674) ^ [] : [empty(363 ^ [])], (367 ^ _72674) ^ [] : [-(cup_closed(363 ^ []))], (369 ^ _72674) ^ [] : [-(cap_closed(363 ^ []))], (371 ^ _72674) ^ [] : [-(diff_closed(363 ^ []))], (373 ^ _72674) ^ [] : [-(preboolean(363 ^ []))], (375 ^ _72674) ^ [_84643] : [-(empty(_84643)), 379 ^ _72674 : [(380 ^ _72674) ^ [] : [-(element(378 ^ [_84643], powerset(_84643)))], (382 ^ _72674) ^ [] : [empty(378 ^ [_84643])]]], (385 ^ _72674) ^ [] : [-(empty(383 ^ []))], (388 ^ _72674) ^ [_85155] : [-(element(386 ^ [_85155], powerset(_85155)))], (390 ^ _72674) ^ [_85226] : [-(empty(386 ^ [_85226]))], (392 ^ _72674) ^ [_85294] : [-(relation(386 ^ [_85294]))], (394 ^ _72674) ^ [_85362] : [-(function(386 ^ [_85362]))], (396 ^ _72674) ^ [_85430] : [-(one_to_one(386 ^ [_85430]))], (398 ^ _72674) ^ [_85498] : [-(epsilon_transitive(386 ^ [_85498]))], (400 ^ _72674) ^ [_85566] : [-(epsilon_connected(386 ^ [_85566]))], (402 ^ _72674) ^ [_85634] : [-(ordinal(386 ^ [_85634]))], (404 ^ _72674) ^ [_85702] : [-(natural(386 ^ [_85702]))], (406 ^ _72674) ^ [_85750] : [-(finite(386 ^ [_85750]))], (409 ^ _72674) ^ [_85916] : [-(element(407 ^ [_85916], powerset(_85916)))], (411 ^ _72674) ^ [_85967] : [-(empty(407 ^ [_85967]))], (414 ^ _72674) ^ [] : [empty(412 ^ [])], (416 ^ _72674) ^ [_86156] : [-(empty(_86156)), 420 ^ _72674 : [(421 ^ _72674) ^ [] : [-(element(419 ^ [_86156], powerset(_86156)))], (423 ^ _72674) ^ [] : [empty(419 ^ [_86156])], (425 ^ _72674) ^ [] : [-(finite(419 ^ [_86156]))]]], (427 ^ _72674) ^ [_86568] : [-(empty(_86568)), 431 ^ _72674 : [(432 ^ _72674) ^ [] : [-(element(430 ^ [_86568], powerset(_86568)))], (434 ^ _72674) ^ [] : [empty(430 ^ [_86568])], (436 ^ _72674) ^ [] : [-(finite(430 ^ [_86568]))]]], (438 ^ _72674) ^ [_86979, _86981] : [-(subset(_86981, _86981))], (440 ^ _72674) ^ [_87088, _87090] : [-(finite(_87090)), subset(_87090, _87088), finite(_87088)], (450 ^ _72674) ^ [_87383, _87385] : [in(_87385, _87383), -(element(_87385, _87383))], (456 ^ _72674) ^ [_87564] : [-(subset(finite_subsets(_87564), powerset(_87564)))], (458 ^ _72674) ^ [_87675, _87677] : [element(_87677, _87675), -(empty(_87675)), -(in(_87677, _87675))], (468 ^ _72674) ^ [_88002, _88004] : [element(_88004, powerset(_88002)), -(subset(_88004, _88002))], (474 ^ _72674) ^ [_88168, _88170] : [subset(_88170, _88168), -(element(_88170, powerset(_88168)))], (480 ^ _72674) ^ [_88398, _88400, _88402] : [-(element(_88402, _88398)), in(_88402, _88400), element(_88400, powerset(_88398))], (490 ^ _72674) ^ [_88725, _88727, _88729] : [in(_88729, _88727), element(_88727, powerset(_88725)), empty(_88725)], (500 ^ _72674) ^ [_89021] : [empty(_89021), -(_89021 = empty_set)], (506 ^ _72674) ^ [_89223, _89225] : [in(_89225, _89223), empty(_89223)], (512 ^ _72674) ^ [_89410, _89412] : [empty(_89412), -(_89412 = _89410), empty(_89410)]], input).
% 1.09/1.37  ncf('1',plain,[finite_subsets(521 ^ []) = powerset(521 ^ [])],start(525 ^ 0)).
% 1.09/1.37  ncf('1.1',plain,[-(finite_subsets(521 ^ []) = powerset(521 ^ [])), powerset(521 ^ []) = finite_subsets(521 ^ [])],extension(4 ^ 1,bind([[_72925, _72927], [finite_subsets(521 ^ []), powerset(521 ^ [])]]))).
% 1.09/1.37  ncf('1.1.1',plain,[-(powerset(521 ^ []) = finite_subsets(521 ^ [])), 326 : -(subset(314 ^ [powerset(521 ^ []), 521 ^ []], 521 ^ [])), 320 : subset(314 ^ [powerset(521 ^ []), 521 ^ []], 521 ^ []), 320 : finite(314 ^ [powerset(521 ^ []), 521 ^ []]), 313 : preboolean(powerset(521 ^ []))],extension(287 ^ 2,bind([[_81818, _81820], [powerset(521 ^ []), 521 ^ []]]))).
% 1.09/1.37  ncf('1.1.1.1',plain,[subset(314 ^ [powerset(521 ^ []), 521 ^ []], 521 ^ []), -(element(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ [])))],extension(474 ^ 7,bind([[_88168, _88170], [521 ^ [], 314 ^ [powerset(521 ^ []), 521 ^ []]]]))).
% 1.09/1.37  ncf('1.1.1.1.1',plain,[element(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ [])), -(empty(powerset(521 ^ []))), -(in(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ [])))],extension(458 ^ 8,bind([[_87675, _87677], [powerset(521 ^ []), 314 ^ [powerset(521 ^ []), 521 ^ []]]]))).
% 1.09/1.38  ncf('1.1.1.1.1.1',plain,[empty(powerset(521 ^ []))],extension(339 ^ 9,bind([[_83478], [521 ^ []]]))).
% 1.09/1.38  ncf('1.1.1.1.1.2',plain,[in(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ []))],extension(330 ^ 9)).
% 1.09/1.38  ncf('1.1.1.2',plain,[-(subset(314 ^ [powerset(521 ^ []), 521 ^ []], 521 ^ [])), element(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ []))],extension(468 ^ 7,bind([[_88002, _88004], [521 ^ [], 314 ^ [powerset(521 ^ []), 521 ^ []]]]))).
% 1.09/1.38  ncf('1.1.1.2.1',plain,[-(element(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ []))), in(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ []))],extension(450 ^ 8,bind([[_87383, _87385], [powerset(521 ^ []), 314 ^ [powerset(521 ^ []), 521 ^ []]]]))).
% 1.09/1.38  ncf('1.1.1.2.1.1',plain,[-(in(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ [])))],extension(318 ^ 9)).
% 1.09/1.38  ncf('1.1.1.3',plain,[-(finite(314 ^ [powerset(521 ^ []), 521 ^ []])), 228 : element(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ [])), 228 : finite(521 ^ [])],extension(224 ^ 7,bind([[_79719, _79851], [521 ^ [], 314 ^ [powerset(521 ^ []), 521 ^ []]]]))).
% 1.09/1.38  ncf('1.1.1.3.1',plain,[-(element(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ []))), in(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ []))],extension(450 ^ 10,bind([[_87383, _87385], [powerset(521 ^ []), 314 ^ [powerset(521 ^ []), 521 ^ []]]]))).
% 1.09/1.38  ncf('1.1.1.3.1.1',plain,[-(in(314 ^ [powerset(521 ^ []), 521 ^ []], powerset(521 ^ [])))],extension(318 ^ 11)).
% 1.09/1.38  ncf('1.1.1.3.2',plain,[-(finite(521 ^ []))],extension(523 ^ 8)).
% 1.09/1.38  ncf('1.1.1.4',plain,[-(preboolean(powerset(521 ^ []))), cup_closed(powerset(521 ^ [])), diff_closed(powerset(521 ^ []))],extension(234 ^ 3,bind([[_80056], [powerset(521 ^ [])]]))).
% 1.09/1.38  ncf('1.1.1.4.1',plain,[-(cup_closed(powerset(521 ^ [])))],extension(341 ^ 4,bind([[_83543], [521 ^ []]]))).
% 1.09/1.38  ncf('1.1.1.4.2',plain,[-(diff_closed(powerset(521 ^ [])))],extension(343 ^ 4,bind([[_83608], [521 ^ []]]))).
% 1.09/1.38  %-----------------------------------------------------
% 1.09/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------