TSTP Solution File: SEU107+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 12:02:13 EDT 2023
% Result : Theorem 0.86s 1.37s
% Output : Proof 0.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n019.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 13:15:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.86/1.37
% 0.86/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.86/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.86/1.37 %-----------------------------------------------------
% 0.86/1.37 ncf(matrix, plain, [(479 ^ _68513) ^ [] : [empty(477 ^ [])], (481 ^ _68513) ^ [] : [-(preboolean(477 ^ []))], (483 ^ _68513) ^ [] : [in(empty_set, 477 ^ [])], (222 ^ _68513) ^ [_75579, _75581] : [in(_75581, _75579), in(_75579, _75581)], (228 ^ _68513) ^ [_75776] : [empty(_75776), -(finite(_75776))], (234 ^ _68513) ^ [_75962] : [preboolean(_75962), 237 ^ _68513 : [(238 ^ _68513) ^ [] : [-(cup_closed(_75962))], (240 ^ _68513) ^ [] : [-(diff_closed(_75962))]]], (242 ^ _68513) ^ [_76219] : [finite(_76219), 245 ^ _68513 : [(246 ^ _68513) ^ [_76351] : [element(_76351, powerset(_76219)), -(finite(_76351))]]], (252 ^ _68513) ^ [_76556] : [-(preboolean(_76556)), cup_closed(_76556), diff_closed(_76556)], (262 ^ _68513) ^ [_76853, _76855, _76857] : [-(element(prebool_difference(_76857, _76855, _76853), _76857)), -(empty(_76857)), preboolean(_76857), element(_76855, _76857), element(_76853, _76857)], (281 ^ _68513) ^ [_77365] : [-(element(279 ^ [_77365], _77365))], (283 ^ _68513) ^ [_77477, _77479] : [finite(_77479), -(finite(set_difference(_77479, _77477)))], (289 ^ _68513) ^ [_77659] : [empty(powerset(_77659))], (291 ^ _68513) ^ [] : [-(empty(empty_set))], (294 ^ _68513) ^ [] : [empty(292 ^ [])], (296 ^ _68513) ^ [] : [-(finite(292 ^ []))], (299 ^ _68513) ^ [] : [empty(297 ^ [])], (301 ^ _68513) ^ [] : [-(cup_closed(297 ^ []))], (303 ^ _68513) ^ [] : [-(cap_closed(297 ^ []))], (305 ^ _68513) ^ [] : [-(diff_closed(297 ^ []))], (307 ^ _68513) ^ [] : [-(preboolean(297 ^ []))], (309 ^ _68513) ^ [_78286] : [-(empty(_78286)), 313 ^ _68513 : [(314 ^ _68513) ^ [] : [-(element(312 ^ [_78286], powerset(_78286)))], (316 ^ _68513) ^ [] : [empty(312 ^ [_78286])]]], (319 ^ _68513) ^ [] : [-(empty(317 ^ []))], (322 ^ _68513) ^ [_78798] : [-(element(320 ^ [_78798], powerset(_78798)))], (324 ^ _68513) ^ [_78869] : [-(empty(320 ^ [_78869]))], (326 ^ _68513) ^ [_78937] : [-(relation(320 ^ [_78937]))], (328 ^ _68513) ^ [_79005] : [-(function(320 ^ [_79005]))], (330 ^ _68513) ^ [_79073] : [-(one_to_one(320 ^ [_79073]))], (332 ^ _68513) ^ [_79141] : [-(epsilon_transitive(320 ^ [_79141]))], (334 ^ _68513) ^ [_79209] : [-(epsilon_connected(320 ^ [_79209]))], (336 ^ _68513) ^ [_79277] : [-(ordinal(320 ^ [_79277]))], (338 ^ _68513) ^ [_79345] : [-(natural(320 ^ [_79345]))], (340 ^ _68513) ^ [_79393] : [-(finite(320 ^ [_79393]))], (343 ^ _68513) ^ [_79559] : [-(element(341 ^ [_79559], powerset(_79559)))], (345 ^ _68513) ^ [_79610] : [-(empty(341 ^ [_79610]))], (348 ^ _68513) ^ [] : [empty(346 ^ [])], (350 ^ _68513) ^ [_79799] : [-(empty(_79799)), 354 ^ _68513 : [(355 ^ _68513) ^ [] : [-(element(353 ^ [_79799], powerset(_79799)))], (357 ^ _68513) ^ [] : [empty(353 ^ [_79799])], (359 ^ _68513) ^ [] : [-(finite(353 ^ [_79799]))]]], (361 ^ _68513) ^ [_80211] : [-(empty(_80211)), 365 ^ _68513 : [(366 ^ _68513) ^ [] : [-(element(364 ^ [_80211], powerset(_80211)))], (368 ^ _68513) ^ [] : [empty(364 ^ [_80211])], (370 ^ _68513) ^ [] : [-(finite(364 ^ [_80211]))]]], (372 ^ _68513) ^ [_80651, _80653, _80655] : [-(prebool_difference(_80655, _80653, _80651) = set_difference(_80653, _80651)), -(empty(_80655)), preboolean(_80655), element(_80653, _80655), element(_80651, _80655)], (390 ^ _68513) ^ [_81144, _81146] : [-(subset(_81146, _81146))], (392 ^ _68513) ^ [_81253, _81255] : [in(_81255, _81253), -(element(_81255, _81253))], (398 ^ _68513) ^ [_81463, _81465] : [element(_81465, _81463), -(empty(_81463)), -(in(_81465, _81463))], (408 ^ _68513) ^ [_81790, _81792] : [set_difference(_81792, _81790) = empty_set, -(subset(_81792, _81790))], (414 ^ _68513) ^ [_81958, _81960] : [subset(_81960, _81958), -(set_difference(_81960, _81958) = empty_set)], (420 ^ _68513) ^ [_82147] : [-(set_difference(_82147, empty_set) = _82147)], (422 ^ _68513) ^ [_82286, _82288] : [element(_82288, powerset(_82286)), -(subset(_82288, _82286))], (428 ^ _68513) ^ [_82452, _82454] : [subset(_82454, _82452), -(element(_82454, powerset(_82452)))], (434 ^ _68513) ^ [_82639] : [-(set_difference(empty_set, _82639) = empty_set)], (436 ^ _68513) ^ [_82763, _82765, _82767] : [-(element(_82767, _82763)), in(_82767, _82765), element(_82765, powerset(_82763))], (446 ^ _68513) ^ [_83090, _83092, _83094] : [in(_83094, _83092), element(_83092, powerset(_83090)), empty(_83090)], (456 ^ _68513) ^ [_83386] : [empty(_83386), -(_83386 = empty_set)], (462 ^ _68513) ^ [_83588, _83590] : [in(_83590, _83588), empty(_83588)], (468 ^ _68513) ^ [_83775, _83777] : [empty(_83777), -(_83777 = _83775), empty(_83775)], (192 ^ _68513) ^ [_74520, _74522, _74524, _74526, _74528, _74530] : [-(prebool_difference(_74530, _74526, _74522) = prebool_difference(_74528, _74524, _74520)), _74530 = _74528, _74526 = _74524, _74522 = _74520], (216 ^ _68513) ^ [_75319, _75321] : [_75321 = _75319, -(powerset(_75321) = powerset(_75319))], (206 ^ _68513) ^ [_75008, _75010, _75012, _75014] : [-(set_difference(_75014, _75010) = set_difference(_75012, _75008)), _75014 = _75012, _75010 = _75008], (2 ^ _68513) ^ [_68657] : [-(_68657 = _68657)], (4 ^ _68513) ^ [_68764, _68766] : [_68766 = _68764, -(_68764 = _68766)], (10 ^ _68513) ^ [_68968, _68970, _68972] : [-(_68972 = _68968), _68972 = _68970, _68970 = _68968], (20 ^ _68513) ^ [_69281, _69283] : [-(cup_closed(_69281)), _69283 = _69281, cup_closed(_69283)], (30 ^ _68513) ^ [_69576, _69578] : [-(cap_closed(_69576)), _69578 = _69576, cap_closed(_69578)], (40 ^ _68513) ^ [_69871, _69873] : [-(diff_closed(_69871)), _69873 = _69871, diff_closed(_69873)], (50 ^ _68513) ^ [_70166, _70168] : [-(relation(_70166)), _70168 = _70166, relation(_70168)], (60 ^ _68513) ^ [_70461, _70463] : [-(function(_70461)), _70463 = _70461, function(_70463)], (70 ^ _68513) ^ [_70756, _70758] : [-(one_to_one(_70756)), _70758 = _70756, one_to_one(_70758)], (80 ^ _68513) ^ [_71051, _71053] : [-(epsilon_transitive(_71051)), _71053 = _71051, epsilon_transitive(_71053)], (90 ^ _68513) ^ [_71346, _71348] : [-(epsilon_connected(_71346)), _71348 = _71346, epsilon_connected(_71348)], (100 ^ _68513) ^ [_71641, _71643] : [-(ordinal(_71641)), _71643 = _71641, ordinal(_71643)], (110 ^ _68513) ^ [_71936, _71938] : [-(natural(_71936)), _71938 = _71936, natural(_71938)], (120 ^ _68513) ^ [_72231, _72233] : [-(finite(_72231)), _72233 = _72231, finite(_72233)], (130 ^ _68513) ^ [_72554, _72556, _72558, _72560] : [-(subset(_72558, _72554)), subset(_72560, _72556), _72560 = _72558, _72556 = _72554], (144 ^ _68513) ^ [_72998, _73000, _73002, _73004] : [-(element(_73002, _72998)), element(_73004, _73000), _73004 = _73002, _73000 = _72998], (158 ^ _68513) ^ [_73414, _73416] : [-(empty(_73414)), _73416 = _73414, empty(_73416)], (168 ^ _68513) ^ [_73709, _73711] : [-(preboolean(_73709)), _73711 = _73709, preboolean(_73711)], (178 ^ _68513) ^ [_74012, _74014, _74016, _74018] : [-(in(_74016, _74012)), in(_74018, _74014), _74018 = _74016, _74014 = _74012]], input).
% 0.86/1.37 ncf('1',plain,[in(empty_set, 477 ^ [])],start(483 ^ 0)).
% 0.86/1.37 ncf('1.1',plain,[-(in(empty_set, 477 ^ [])), in(prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]), 477 ^ []), prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]) = empty_set, 477 ^ [] = 477 ^ []],extension(178 ^ 1,bind([[_74012, _74014, _74016, _74018], [477 ^ [], 477 ^ [], empty_set, prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []])]]))).
% 0.86/1.37 ncf('1.1.1',plain,[-(in(prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]), 477 ^ [])), element(prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]), 477 ^ []), -(empty(477 ^ []))],extension(398 ^ 2,bind([[_81463, _81465], [477 ^ [], prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []])]]))).
% 0.86/1.37 ncf('1.1.1.1',plain,[-(element(prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]), 477 ^ [])), -(empty(477 ^ [])), preboolean(477 ^ []), element(279 ^ [477 ^ []], 477 ^ []), element(279 ^ [477 ^ []], 477 ^ [])],extension(262 ^ 3,bind([[_76853, _76855, _76857], [279 ^ [477 ^ []], 279 ^ [477 ^ []], 477 ^ []]]))).
% 0.86/1.37 ncf('1.1.1.1.1',plain,[empty(477 ^ [])],extension(479 ^ 4)).
% 0.86/1.37 ncf('1.1.1.1.2',plain,[-(preboolean(477 ^ []))],extension(481 ^ 4)).
% 0.86/1.37 ncf('1.1.1.1.3',plain,[-(element(279 ^ [477 ^ []], 477 ^ []))],extension(281 ^ 4,bind([[_77365], [477 ^ []]]))).
% 0.86/1.37 ncf('1.1.1.1.4',plain,[-(element(279 ^ [477 ^ []], 477 ^ []))],extension(281 ^ 4,bind([[_77365], [477 ^ []]]))).
% 0.86/1.37 ncf('1.1.1.2',plain,[empty(477 ^ [])],extension(479 ^ 3)).
% 0.86/1.37 ncf('1.1.2',plain,[-(prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]) = empty_set), prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]) = set_difference(279 ^ [477 ^ []], 279 ^ [477 ^ []]), set_difference(279 ^ [477 ^ []], 279 ^ [477 ^ []]) = empty_set],extension(10 ^ 2,bind([[_68968, _68970, _68972], [empty_set, set_difference(279 ^ [477 ^ []], 279 ^ [477 ^ []]), prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []])]]))).
% 0.86/1.37 ncf('1.1.2.1',plain,[-(prebool_difference(477 ^ [], 279 ^ [477 ^ []], 279 ^ [477 ^ []]) = set_difference(279 ^ [477 ^ []], 279 ^ [477 ^ []])), -(empty(477 ^ [])), preboolean(477 ^ []), element(279 ^ [477 ^ []], 477 ^ []), element(279 ^ [477 ^ []], 477 ^ [])],extension(372 ^ 3,bind([[_80651, _80653, _80655], [279 ^ [477 ^ []], 279 ^ [477 ^ []], 477 ^ []]]))).
% 0.86/1.37 ncf('1.1.2.1.1',plain,[empty(477 ^ [])],extension(479 ^ 4)).
% 0.86/1.37 ncf('1.1.2.1.2',plain,[-(preboolean(477 ^ []))],extension(481 ^ 4)).
% 0.86/1.37 ncf('1.1.2.1.3',plain,[-(element(279 ^ [477 ^ []], 477 ^ []))],extension(281 ^ 4,bind([[_77365], [477 ^ []]]))).
% 0.86/1.37 ncf('1.1.2.1.4',plain,[-(element(279 ^ [477 ^ []], 477 ^ []))],lemmata('[2, 1, 1].x')).
% 0.86/1.37 ncf('1.1.2.2',plain,[-(set_difference(279 ^ [477 ^ []], 279 ^ [477 ^ []]) = empty_set), subset(279 ^ [477 ^ []], 279 ^ [477 ^ []])],extension(414 ^ 3,bind([[_81958, _81960], [279 ^ [477 ^ []], 279 ^ [477 ^ []]]]))).
% 0.86/1.37 ncf('1.1.2.2.1',plain,[-(subset(279 ^ [477 ^ []], 279 ^ [477 ^ []]))],extension(390 ^ 4,bind([[_81144, _81146], [_50393, 279 ^ [477 ^ []]]]))).
% 0.86/1.37 ncf('1.1.3',plain,[-(477 ^ [] = 477 ^ [])],extension(2 ^ 2,bind([[_68657], [477 ^ []]]))).
% 0.86/1.37 %-----------------------------------------------------
% 0.86/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------