%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU223+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n032.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 12:02:45 EDT 2023

% Result   : Theorem 0.21s 1.30s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SEU223+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.08  % Command  : nanocop.sh %s %d
% 0.07/0.27  % Computer : n032.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit : 300
% 0.07/0.27  % WCLimit  : 300
% 0.07/0.27  % DateTime : Thu May 18 13:08:49 EDT 2023
% 0.07/0.27  % CPUTime  : 
% 0.21/1.30  
% 0.21/1.30  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.21/1.30  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/1.30  %-----------------------------------------------------
% 0.21/1.30  ncf(matrix, plain, [(441 ^ _65155) ^ [] : [-(relation(439 ^ []))], (443 ^ _65155) ^ [] : [-(function(439 ^ []))], (445 ^ _65155) ^ [] : [-(in(438 ^ [], relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))))], (447 ^ _65155) ^ [] : [apply(relation_dom_restriction(439 ^ [], 437 ^ []), 438 ^ []) = apply(439 ^ [], 438 ^ [])], (112 ^ _65155) ^ [_68730, _68732] : [_68732 = _68730, -(powerset(_68732) = powerset(_68730))], (118 ^ _65155) ^ [_68976, _68978, _68980, _68982] : [-(set_intersection2(_68982, _68978) = set_intersection2(_68980, _68976)), _68982 = _68980, _68978 = _68976], (128 ^ _65155) ^ [_69307, _69309] : [_69309 = _69307, -(relation_dom(_69309) = relation_dom(_69307))], (134 ^ _65155) ^ [_69553, _69555, _69557, _69559] : [-(relation_dom_restriction(_69559, _69555) = relation_dom_restriction(_69557, _69553)), _69559 = _69557, _69555 = _69553], (144 ^ _65155) ^ [_69892, _69894, _69896, _69898] : [-(apply(_69898, _69894) = apply(_69896, _69892)), _69898 = _69896, _69894 = _69892], (2 ^ _65155) ^ [_65299] : [-(_65299 = _65299)], (4 ^ _65155) ^ [_65406, _65408] : [_65408 = _65406, -(_65406 = _65408)], (10 ^ _65155) ^ [_65610, _65612, _65614] : [-(_65614 = _65610), _65614 = _65612, _65612 = _65610], (20 ^ _65155) ^ [_65951, _65953, _65955, _65957] : [-(subset(_65955, _65951)), subset(_65957, _65953), _65957 = _65955, _65953 = _65951], (34 ^ _65155) ^ [_66367, _66369] : [-(one_to_one(_66367)), _66369 = _66367, one_to_one(_66369)], (44 ^ _65155) ^ [_66662, _66664] : [-(relation_empty_yielding(_66662)), _66664 = _66662, relation_empty_yielding(_66664)], (54 ^ _65155) ^ [_66985, _66987, _66989, _66991] : [-(element(_66989, _66985)), element(_66991, _66987), _66991 = _66989, _66987 = _66985], (68 ^ _65155) ^ [_67401, _67403] : [-(empty(_67401)), _67403 = _67401, empty(_67403)], (78 ^ _65155) ^ [_67696, _67698] : [-(relation(_67696)), _67698 = _67696, relation(_67698)], (88 ^ _65155) ^ [_67991, _67993] : [-(function(_67991)), _67993 = _67991, function(_67993)], (98 ^ _65155) ^ [_68294, _68296, _68298, _68300] : [-(in(_68298, _68294)), in(_68300, _68296), _68300 = _68298, _68296 = _68294], (154 ^ _65155) ^ [_70226, _70228] : [-(subset(_70228, _70228))], (156 ^ _65155) ^ [] : [-(empty(empty_set))], (158 ^ _65155) ^ [] : [-(relation(empty_set))], (160 ^ _65155) ^ [] : [-(empty(empty_set))], (162 ^ _65155) ^ [] : [-(relation(empty_set))], (164 ^ _65155) ^ [] : [-(relation_empty_yielding(empty_set))], (166 ^ _65155) ^ [] : [-(empty(empty_set))], (168 ^ _65155) ^ [_70630] : [-(set_intersection2(_70630, empty_set) = empty_set)], (171 ^ _65155) ^ [_70750] : [-(element(169 ^ [_70750], _70750))], (173 ^ _65155) ^ [_70848] : [empty(_70848), -(function(_70848))], (179 ^ _65155) ^ [_71034] : [190 ^ _65155 : [(191 ^ _65155) ^ [] : [-(relation(_71034))], (193 ^ _65155) ^ [] : [-(function(_71034))], (195 ^ _65155) ^ [] : [-(one_to_one(_71034))]], relation(_71034), empty(_71034), function(_71034)], (197 ^ _65155) ^ [_71511] : [empty(powerset(_71511))], (199 ^ _65155) ^ [_71605] : [empty(relation_dom(_71605)), -(empty(_71605)), relation(_71605)], (209 ^ _65155) ^ [_71882] : [empty(_71882), 212 ^ _65155 : [(213 ^ _65155) ^ [] : [-(empty(relation_dom(_71882)))], (215 ^ _65155) ^ [] : [-(relation(relation_dom(_71882)))]]], (217 ^ _65155) ^ [_72161, _72163] : [224 ^ _65155 : [(225 ^ _65155) ^ [] : [-(relation(relation_dom_restriction(_72163, _72161)))], (227 ^ _65155) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_72163, _72161)))]], relation(_72163), relation_empty_yielding(_72163)], (229 ^ _65155) ^ [_72525] : [empty(_72525), -(relation(_72525))], (235 ^ _65155) ^ [_72725, _72727] : [element(_72727, _72725), -(empty(_72725)), -(in(_72727, _72725))], (245 ^ _65155) ^ [_73052, _73054] : [element(_73054, powerset(_73052)), -(subset(_73054, _73052))], (251 ^ _65155) ^ [_73218, _73220] : [subset(_73220, _73218), -(element(_73220, powerset(_73218)))], (257 ^ _65155) ^ [_73448, _73450, _73452] : [-(element(_73452, _73448)), in(_73452, _73450), element(_73450, powerset(_73448))], (267 ^ _65155) ^ [_73775, _73777, _73779] : [in(_73779, _73777), element(_73777, powerset(_73775)), empty(_73775)], (277 ^ _65155) ^ [_74071] : [empty(_74071), -(_74071 = empty_set)], (283 ^ _65155) ^ [_74273, _74275] : [empty(_74275), -(_74275 = _74273), empty(_74273)], (293 ^ _65155) ^ [_74555, _74557] : [-(set_intersection2(_74557, _74555) = set_intersection2(_74555, _74557))], (295 ^ _65155) ^ [_74655, _74657] : [-(set_intersection2(_74657, _74657) = _74657)], (297 ^ _65155) ^ [_74767, _74769] : [in(_74769, _74767), in(_74767, _74769)], (303 ^ _65155) ^ [_74978, _74980] : [relation(_74980), -(relation(relation_dom_restriction(_74980, _74978)))], (309 ^ _65155) ^ [_75190, _75192] : [316 ^ _65155 : [(317 ^ _65155) ^ [] : [-(relation(relation_dom_restriction(_75192, _75190)))], (319 ^ _65155) ^ [] : [-(function(relation_dom_restriction(_75192, _75190)))]], relation(_75192), function(_75192)], (322 ^ _65155) ^ [] : [-(relation(320 ^ []))], (324 ^ _65155) ^ [] : [-(function(320 ^ []))], (327 ^ _65155) ^ [] : [-(relation(325 ^ []))], (329 ^ _65155) ^ [] : [-(empty(325 ^ []))], (331 ^ _65155) ^ [] : [-(function(325 ^ []))], (334 ^ _65155) ^ [] : [-(relation(332 ^ []))], (336 ^ _65155) ^ [] : [-(function(332 ^ []))], (338 ^ _65155) ^ [] : [-(one_to_one(332 ^ []))], (340 ^ _65155) ^ [_76121] : [-(empty(_76121)), 344 ^ _65155 : [(345 ^ _65155) ^ [] : [-(element(343 ^ [_76121], powerset(_76121)))], (347 ^ _65155) ^ [] : [empty(343 ^ [_76121])]]], (350 ^ _65155) ^ [_76504] : [-(element(348 ^ [_76504], powerset(_76504)))], (352 ^ _65155) ^ [_76555] : [-(empty(348 ^ [_76555]))], (354 ^ _65155) ^ [_76668, _76670] : [-(relation(set_intersection2(_76670, _76668))), relation(_76670), relation(_76668)], (365 ^ _65155) ^ [] : [-(empty(363 ^ []))], (367 ^ _65155) ^ [] : [-(relation(363 ^ []))], (370 ^ _65155) ^ [] : [empty(368 ^ [])], (372 ^ _65155) ^ [] : [-(relation(368 ^ []))], (375 ^ _65155) ^ [] : [-(relation(373 ^ []))], (377 ^ _65155) ^ [] : [-(relation_empty_yielding(373 ^ []))], (380 ^ _65155) ^ [] : [-(empty(378 ^ []))], (383 ^ _65155) ^ [] : [empty(381 ^ [])], (385 ^ _65155) ^ [_77594, _77596] : [in(_77596, _77594), -(element(_77596, _77594))], (391 ^ _65155) ^ [_77804, _77806] : [in(_77806, _77804), empty(_77804)], (397 ^ _65155) ^ [_77991, _77993] : [relation(_77991), function(_77991), 404 ^ _65155 : [(405 ^ _65155) ^ [_78258] : [relation(_78258), function(_78258), 412 ^ _65155 : [(413 ^ _65155) ^ [] : [_77991 = relation_dom_restriction(_78258, _77993), 416 ^ _65155 : [(417 ^ _65155) ^ [] : [-(relation_dom(_77991) = set_intersection2(relation_dom(_78258), _77993))], (419 ^ _65155) ^ [_78712] : [in(_78712, relation_dom(_77991)), -(apply(_77991, _78712) = apply(_78258, _78712))]]], (425 ^ _65155) ^ [] : [-(_77991 = relation_dom_restriction(_78258, _77993)), relation_dom(_77991) = set_intersection2(relation_dom(_78258), _77993), 431 ^ _65155 : [(432 ^ _65155) ^ [] : [-(in(430 ^ [_77991, _77993, _78258], relation_dom(_77991)))], (434 ^ _65155) ^ [] : [apply(_77991, 430 ^ [_77991, _77993, _78258]) = apply(_78258, 430 ^ [_77991, _77993, _78258])]]]]]]]], input).
% 0.21/1.30  ncf('1',plain,[apply(relation_dom_restriction(439 ^ [], 437 ^ []), 438 ^ []) = apply(439 ^ [], 438 ^ [])],start(447 ^ 0)).
% 0.21/1.30  ncf('1.1',plain,[-(apply(relation_dom_restriction(439 ^ [], 437 ^ []), 438 ^ []) = apply(439 ^ [], 438 ^ [])), 419 : in(438 ^ [], relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))), 419 : relation_dom_restriction(439 ^ [], 437 ^ []) = relation_dom_restriction(439 ^ [], 437 ^ []), 413 : relation(439 ^ []), 413 : function(439 ^ []), 405 : relation(relation_dom_restriction(439 ^ [], 437 ^ [])), 405 : function(relation_dom_restriction(439 ^ [], 437 ^ []))],extension(397 ^ 1,bind([[_77991, _77993, _78258, _78712], [relation_dom_restriction(439 ^ [], 437 ^ []), 437 ^ [], 439 ^ [], 438 ^ []]]))).
% 0.21/1.30  ncf('1.1.1',plain,[-(in(438 ^ [], relation_dom(relation_dom_restriction(439 ^ [], 437 ^ []))))],extension(445 ^ 8)).
% 0.21/1.30  ncf('1.1.2',plain,[-(relation_dom_restriction(439 ^ [], 437 ^ []) = relation_dom_restriction(439 ^ [], 437 ^ []))],extension(2 ^ 6,bind([[_65299], [relation_dom_restriction(439 ^ [], 437 ^ [])]]))).
% 0.21/1.30  ncf('1.1.3',plain,[-(relation(439 ^ []))],extension(441 ^ 4)).
% 0.21/1.30  ncf('1.1.4',plain,[-(function(439 ^ []))],extension(443 ^ 4)).
% 0.21/1.30  ncf('1.1.5',plain,[-(relation(relation_dom_restriction(439 ^ [], 437 ^ []))), relation(439 ^ [])],extension(303 ^ 2,bind([[_74978, _74980], [437 ^ [], 439 ^ []]]))).
% 0.21/1.30  ncf('1.1.5.1',plain,[-(relation(439 ^ []))],extension(441 ^ 3)).
% 0.21/1.30  ncf('1.1.6',plain,[-(function(relation_dom_restriction(439 ^ [], 437 ^ []))), relation(439 ^ []), function(439 ^ [])],extension(309 ^ 2,bind([[_75190, _75192], [437 ^ [], 439 ^ []]]))).
% 0.21/1.30  ncf('1.1.6.1',plain,[-(relation(439 ^ []))],extension(441 ^ 3)).
% 0.21/1.30  ncf('1.1.6.2',plain,[-(function(439 ^ []))],extension(443 ^ 3)).
% 0.21/1.30  %-----------------------------------------------------
% 0.21/1.30  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------