%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n020.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 12:02:07 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n020.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 12:34:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(441 ^ _66565) ^ [] : [-(relation(439 ^ []))], (443 ^ _66565) ^ [] : [-(function(439 ^ []))], (445 ^ _66565) ^ [] : [-(in(438 ^ [], set_intersection2(relation_dom(439 ^ []), 437 ^ [])))], (447 ^ _66565) ^ [] : [apply(relation_dom_restriction(439 ^ [], 437 ^ []), 438 ^ []) = apply(439 ^ [], 438 ^ [])], (112 ^ _66565) ^ [_70140, _70142] : [_70142 = _70140, -(powerset(_70142) = powerset(_70140))], (118 ^ _66565) ^ [_70386, _70388, _70390, _70392] : [-(set_intersection2(_70392, _70388) = set_intersection2(_70390, _70386)), _70392 = _70390, _70388 = _70386], (128 ^ _66565) ^ [_70717, _70719] : [_70719 = _70717, -(relation_dom(_70719) = relation_dom(_70717))], (134 ^ _66565) ^ [_70963, _70965, _70967, _70969] : [-(relation_dom_restriction(_70969, _70965) = relation_dom_restriction(_70967, _70963)), _70969 = _70967, _70965 = _70963], (144 ^ _66565) ^ [_71302, _71304, _71306, _71308] : [-(apply(_71308, _71304) = apply(_71306, _71302)), _71308 = _71306, _71304 = _71302], (2 ^ _66565) ^ [_66709] : [-(_66709 = _66709)], (4 ^ _66565) ^ [_66816, _66818] : [_66818 = _66816, -(_66816 = _66818)], (10 ^ _66565) ^ [_67020, _67022, _67024] : [-(_67024 = _67020), _67024 = _67022, _67022 = _67020], (20 ^ _66565) ^ [_67333, _67335] : [-(one_to_one(_67333)), _67335 = _67333, one_to_one(_67335)], (30 ^ _66565) ^ [_67628, _67630] : [-(relation_empty_yielding(_67628)), _67630 = _67628, relation_empty_yielding(_67630)], (40 ^ _66565) ^ [_67951, _67953, _67955, _67957] : [-(subset(_67955, _67951)), subset(_67957, _67953), _67957 = _67955, _67953 = _67951], (54 ^ _66565) ^ [_68395, _68397, _68399, _68401] : [-(element(_68399, _68395)), element(_68401, _68397), _68401 = _68399, _68397 = _68395], (68 ^ _66565) ^ [_68811, _68813] : [-(empty(_68811)), _68813 = _68811, empty(_68813)], (78 ^ _66565) ^ [_69106, _69108] : [-(relation(_69106)), _69108 = _69106, relation(_69108)], (88 ^ _66565) ^ [_69401, _69403] : [-(function(_69401)), _69403 = _69401, function(_69403)], (98 ^ _66565) ^ [_69704, _69706, _69708, _69710] : [-(in(_69708, _69704)), in(_69710, _69706), _69710 = _69708, _69706 = _69704], (154 ^ _66565) ^ [_71651, _71653] : [in(_71653, _71651), in(_71651, _71653)], (160 ^ _66565) ^ [_71848] : [empty(_71848), -(function(_71848))], (166 ^ _66565) ^ [_72034] : [empty(_72034), -(relation(_72034))], (172 ^ _66565) ^ [_72220] : [183 ^ _66565 : [(184 ^ _66565) ^ [] : [-(relation(_72220))], (186 ^ _66565) ^ [] : [-(function(_72220))], (188 ^ _66565) ^ [] : [-(one_to_one(_72220))]], relation(_72220), empty(_72220), function(_72220)], (190 ^ _66565) ^ [_72712, _72714] : [-(set_intersection2(_72714, _72712) = set_intersection2(_72712, _72714))], (192 ^ _66565) ^ [_72827, _72829] : [relation(_72829), -(relation(relation_dom_restriction(_72829, _72827)))], (199 ^ _66565) ^ [_73049] : [-(element(197 ^ [_73049], _73049))], (201 ^ _66565) ^ [] : [-(empty(empty_set))], (203 ^ _66565) ^ [] : [-(relation(empty_set))], (205 ^ _66565) ^ [] : [-(relation_empty_yielding(empty_set))], (207 ^ _66565) ^ [_73324, _73326] : [214 ^ _66565 : [(215 ^ _66565) ^ [] : [-(relation(relation_dom_restriction(_73326, _73324)))], (217 ^ _66565) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_73326, _73324)))]], relation(_73326), relation_empty_yielding(_73326)], (219 ^ _66565) ^ [_73702, _73704] : [-(relation(set_intersection2(_73704, _73702))), relation(_73704), relation(_73702)], (229 ^ _66565) ^ [_73971] : [empty(powerset(_73971))], (231 ^ _66565) ^ [] : [-(empty(empty_set))], (233 ^ _66565) ^ [_74132, _74134] : [240 ^ _66565 : [(241 ^ _66565) ^ [] : [-(relation(relation_dom_restriction(_74134, _74132)))], (243 ^ _66565) ^ [] : [-(function(relation_dom_restriction(_74134, _74132)))]], relation(_74134), function(_74134)], (245 ^ _66565) ^ [] : [-(empty(empty_set))], (247 ^ _66565) ^ [] : [-(relation(empty_set))], (249 ^ _66565) ^ [_74604] : [empty(relation_dom(_74604)), -(empty(_74604)), relation(_74604)], (259 ^ _66565) ^ [_74881] : [empty(_74881), 262 ^ _66565 : [(263 ^ _66565) ^ [] : [-(empty(relation_dom(_74881)))], (265 ^ _66565) ^ [] : [-(relation(relation_dom(_74881)))]]], (267 ^ _66565) ^ [_75145, _75147] : [-(set_intersection2(_75147, _75147) = _75147)], (270 ^ _66565) ^ [] : [-(relation(268 ^ []))], (272 ^ _66565) ^ [] : [-(function(268 ^ []))], (275 ^ _66565) ^ [] : [-(empty(273 ^ []))], (277 ^ _66565) ^ [] : [-(relation(273 ^ []))], (279 ^ _66565) ^ [_75541] : [-(empty(_75541)), 283 ^ _66565 : [(284 ^ _66565) ^ [] : [-(element(282 ^ [_75541], powerset(_75541)))], (286 ^ _66565) ^ [] : [empty(282 ^ [_75541])]]], (289 ^ _66565) ^ [] : [-(empty(287 ^ []))], (292 ^ _66565) ^ [] : [-(relation(290 ^ []))], (294 ^ _66565) ^ [] : [-(empty(290 ^ []))], (296 ^ _66565) ^ [] : [-(function(290 ^ []))], (299 ^ _66565) ^ [] : [empty(297 ^ [])], (301 ^ _66565) ^ [] : [-(relation(297 ^ []))], (304 ^ _66565) ^ [_76372] : [-(element(302 ^ [_76372], powerset(_76372)))], (306 ^ _66565) ^ [_76423] : [-(empty(302 ^ [_76423]))], (309 ^ _66565) ^ [] : [empty(307 ^ [])], (312 ^ _66565) ^ [] : [-(relation(310 ^ []))], (314 ^ _66565) ^ [] : [-(function(310 ^ []))], (316 ^ _66565) ^ [] : [-(one_to_one(310 ^ []))], (319 ^ _66565) ^ [] : [-(relation(317 ^ []))], (321 ^ _66565) ^ [] : [-(relation_empty_yielding(317 ^ []))], (323 ^ _66565) ^ [_76969, _76971] : [-(subset(_76971, _76971))], (325 ^ _66565) ^ [_77078, _77080] : [in(_77080, _77078), -(element(_77080, _77078))], (331 ^ _66565) ^ [_77259] : [-(set_intersection2(_77259, empty_set) = empty_set)], (333 ^ _66565) ^ [_77369, _77371] : [element(_77371, _77369), -(empty(_77369)), -(in(_77371, _77369))], (343 ^ _66565) ^ [_77696, _77698] : [element(_77698, powerset(_77696)), -(subset(_77698, _77696))], (349 ^ _66565) ^ [_77862, _77864] : [subset(_77864, _77862), -(element(_77864, powerset(_77862)))], (355 ^ _66565) ^ [_78092, _78094, _78096] : [-(element(_78096, _78092)), in(_78096, _78094), element(_78094, powerset(_78092))], (365 ^ _66565) ^ [_78419, _78421, _78423] : [in(_78423, _78421), element(_78421, powerset(_78419)), empty(_78419)], (416 ^ _66565) ^ [_80104] : [empty(_80104), -(_80104 = empty_set)], (422 ^ _66565) ^ [_80306, _80308] : [in(_80308, _80306), empty(_80306)], (428 ^ _66565) ^ [_80493, _80495] : [empty(_80495), -(_80495 = _80493), empty(_80493)], (375 ^ _66565) ^ [_78729, _78731] : [relation(_78729), function(_78729), 382 ^ _66565 : [(383 ^ _66565) ^ [_78996] : [relation(_78996), function(_78996), 390 ^ _66565 : [(391 ^ _66565) ^ [] : [_78729 = relation_dom_restriction(_78996, _78731), 394 ^ _66565 : [(395 ^ _66565) ^ [] : [-(relation_dom(_78729) = set_intersection2(relation_dom(_78996), _78731))], (397 ^ _66565) ^ [_79450] : [in(_79450, relation_dom(_78729)), -(apply(_78729, _79450) = apply(_78996, _79450))]]], (403 ^ _66565) ^ [] : [-(_78729 = relation_dom_restriction(_78996, _78731)), relation_dom(_78729) = set_intersection2(relation_dom(_78996), _78731), 409 ^ _66565 : [(410 ^ _66565) ^ [] : [-(in(408 ^ [_78729, _78731, _78996], relation_dom(_78729)))], (412 ^ _66565) ^ [] : [apply(_78729, 408 ^ [_78729, _78731, _78996]) = apply(_78996, 408 ^ [_78729, _78731, _78996])]]]]]]]], input).
% 0.34/1.37  ncf('1',plain,[apply(relation_dom_restriction(439 ^ [], 437 ^ []), 438 ^ []) = apply(439 ^ [], 438 ^ [])],start(447 ^ 0)).
% 0.34/1.37  ncf('1.1',plain,[-(apply(relation_dom_restriction(439 ^ [], 437 ^ []), 438 ^ []) = apply(439 ^ [], 438 ^ [])), 397 : in(438 ^ [], relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))), 397 : relation_dom_restriction(439 ^ [], 437 ^ []) = relation_dom_restriction(439 ^ [], 437 ^ []), 391 : relation(439 ^ []), 391 : function(439 ^ []), 383 : relation(relation_dom_restriction(439 ^ [], 437 ^ [])), 383 : function(relation_dom_restriction(439 ^ [], 437 ^ []))],extension(375 ^ 1,bind([[_78729, _78731, _78996, _79450], [relation_dom_restriction(439 ^ [], 437 ^ []), 437 ^ [], 439 ^ [], 438 ^ []]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(in(438 ^ [], relation_dom(relation_dom_restriction(439 ^ [], 437 ^ [])))), in(438 ^ [], set_intersection2(relation_dom(439 ^ []), 437 ^ [])), 438 ^ [] = 438 ^ [], set_intersection2(relation_dom(439 ^ []), 437 ^ []) = relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))],extension(98 ^ 8,bind([[_69704, _69706, _69708, _69710], [relation_dom(relation_dom_restriction(439 ^ [], 437 ^ [])), set_intersection2(relation_dom(439 ^ []), 437 ^ []), 438 ^ [], 438 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.1',plain,[-(in(438 ^ [], set_intersection2(relation_dom(439 ^ []), 437 ^ [])))],extension(445 ^ 9)).
% 0.34/1.37  ncf('1.1.1.2',plain,[-(438 ^ [] = 438 ^ [])],extension(2 ^ 9,bind([[_66709], [438 ^ []]]))).
% 0.34/1.37  ncf('1.1.1.3',plain,[-(set_intersection2(relation_dom(439 ^ []), 437 ^ []) = relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))), relation_dom(relation_dom_restriction(439 ^ [], 437 ^ [])) = set_intersection2(relation_dom(439 ^ []), 437 ^ [])],extension(4 ^ 9,bind([[_66816, _66818], [set_intersection2(relation_dom(439 ^ []), 437 ^ []), relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))]]))).
% 0.34/1.37  ncf('1.1.1.3.1',plain,[-(relation_dom(relation_dom_restriction(439 ^ [], 437 ^ [])) = set_intersection2(relation_dom(439 ^ []), 437 ^ []))],extension(395 ^ 10)).
% 0.34/1.37  ncf('1.1.2',plain,[-(relation_dom_restriction(439 ^ [], 437 ^ []) = relation_dom_restriction(439 ^ [], 437 ^ [])), 439 ^ [] = 439 ^ [], 437 ^ [] = 437 ^ []],extension(134 ^ 6,bind([[_70963, _70965, _70967, _70969], [437 ^ [], 437 ^ [], 439 ^ [], 439 ^ []]]))).
% 0.34/1.37  ncf('1.1.2.1',plain,[-(439 ^ [] = 439 ^ [])],extension(2 ^ 7,bind([[_66709], [439 ^ []]]))).
% 0.34/1.37  ncf('1.1.2.2',plain,[-(437 ^ [] = 437 ^ [])],extension(2 ^ 7,bind([[_66709], [437 ^ []]]))).
% 0.34/1.37  ncf('1.1.3',plain,[-(relation(439 ^ []))],extension(441 ^ 4)).
% 0.34/1.37  ncf('1.1.4',plain,[-(function(439 ^ []))],extension(443 ^ 4)).
% 0.34/1.37  ncf('1.1.5',plain,[-(relation(relation_dom_restriction(439 ^ [], 437 ^ []))), relation(439 ^ [])],extension(192 ^ 2,bind([[_72827, _72829], [437 ^ [], 439 ^ []]]))).
% 0.34/1.37  ncf('1.1.5.1',plain,[-(relation(439 ^ []))],extension(441 ^ 3)).
% 0.34/1.37  ncf('1.1.6',plain,[-(function(relation_dom_restriction(439 ^ [], 437 ^ []))), relation(439 ^ []), function(439 ^ [])],extension(233 ^ 2,bind([[_74132, _74134], [437 ^ [], 439 ^ []]]))).
% 0.34/1.37  ncf('1.1.6.1',plain,[-(relation(439 ^ []))],extension(441 ^ 3)).
% 0.34/1.37  ncf('1.1.6.2',plain,[-(function(439 ^ []))],extension(443 ^ 3)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------