%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU223+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 12:02:44 EDT 2023

% Result   : Theorem 0.32s 1.38s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU223+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 12:53:36 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.32/1.38  
% 0.32/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  ncf(matrix, plain, [(401 ^ _56198) ^ [] : [-(relation(399 ^ []))], (403 ^ _56198) ^ [] : [-(function(399 ^ []))], (405 ^ _56198) ^ [] : [-(in(398 ^ [], relation_dom(relation_dom_restriction(399 ^ [], 397 ^ []))))], (407 ^ _56198) ^ [] : [apply(relation_dom_restriction(399 ^ [], 397 ^ []), 398 ^ []) = apply(399 ^ [], 398 ^ [])], (98 ^ _56198) ^ [_59355, _59357, _59359, _59361] : [-(set_intersection2(_59361, _59357) = set_intersection2(_59359, _59355)), _59361 = _59359, _59357 = _59355], (108 ^ _56198) ^ [_59686, _59688] : [_59688 = _59686, -(relation_dom(_59688) = relation_dom(_59686))], (114 ^ _56198) ^ [_59932, _59934, _59936, _59938] : [-(relation_dom_restriction(_59938, _59934) = relation_dom_restriction(_59936, _59932)), _59938 = _59936, _59934 = _59932], (124 ^ _56198) ^ [_60271, _60273, _60275, _60277] : [-(apply(_60277, _60273) = apply(_60275, _60271)), _60277 = _60275, _60273 = _60271], (2 ^ _56198) ^ [_56342] : [-(_56342 = _56342)], (4 ^ _56198) ^ [_56449, _56451] : [_56451 = _56449, -(_56449 = _56451)], (10 ^ _56198) ^ [_56653, _56655, _56657] : [-(_56657 = _56653), _56657 = _56655, _56655 = _56653], (20 ^ _56198) ^ [_56966, _56968] : [-(relation_empty_yielding(_56966)), _56968 = _56966, relation_empty_yielding(_56968)], (30 ^ _56198) ^ [_57261, _57263] : [-(one_to_one(_57261)), _57263 = _57261, one_to_one(_57263)], (40 ^ _56198) ^ [_57584, _57586, _57588, _57590] : [-(element(_57588, _57584)), element(_57590, _57586), _57590 = _57588, _57586 = _57584], (54 ^ _56198) ^ [_58000, _58002] : [-(empty(_58000)), _58002 = _58000, empty(_58002)], (64 ^ _56198) ^ [_58295, _58297] : [-(relation(_58295)), _58297 = _58295, relation(_58297)], (74 ^ _56198) ^ [_58590, _58592] : [-(function(_58590)), _58592 = _58590, function(_58592)], (84 ^ _56198) ^ [_58893, _58895, _58897, _58899] : [-(in(_58897, _58893)), in(_58899, _58895), _58899 = _58897, _58895 = _58893], (135 ^ _56198) ^ [] : [-(relation(133 ^ []))], (137 ^ _56198) ^ [] : [-(relation_empty_yielding(133 ^ []))], (139 ^ _56198) ^ [_60765, _60767] : [146 ^ _56198 : [(147 ^ _56198) ^ [] : [-(relation(relation_dom_restriction(_60767, _60765)))], (149 ^ _56198) ^ [] : [-(relation_empty_yielding(relation_dom_restriction(_60767, _60765)))]], relation(_60767), relation_empty_yielding(_60767)], (151 ^ _56198) ^ [] : [true___, -(true___)], (158 ^ _56198) ^ [] : [-(relation(156 ^ []))], (160 ^ _56198) ^ [] : [-(function(156 ^ []))], (162 ^ _56198) ^ [] : [-(one_to_one(156 ^ []))], (164 ^ _56198) ^ [] : [-(empty(empty_set))], (166 ^ _56198) ^ [] : [-(relation(empty_set))], (168 ^ _56198) ^ [] : [-(empty(empty_set))], (170 ^ _56198) ^ [] : [-(relation(empty_set))], (172 ^ _56198) ^ [] : [-(relation_empty_yielding(empty_set))], (174 ^ _56198) ^ [] : [-(empty(empty_set))], (176 ^ _56198) ^ [_61766] : [-(set_intersection2(_61766, empty_set) = empty_set)], (179 ^ _56198) ^ [_61886] : [-(element(177 ^ [_61886], _61886))], (181 ^ _56198) ^ [] : [true___, -(true___)], (187 ^ _56198) ^ [_62103] : [empty(_62103), -(function(_62103))], (194 ^ _56198) ^ [] : [-(relation(192 ^ []))], (196 ^ _56198) ^ [] : [-(empty(192 ^ []))], (198 ^ _56198) ^ [] : [-(function(192 ^ []))], (200 ^ _56198) ^ [_62498] : [211 ^ _56198 : [(212 ^ _56198) ^ [] : [-(relation(_62498))], (214 ^ _56198) ^ [] : [-(function(_62498))], (216 ^ _56198) ^ [] : [-(one_to_one(_62498))]], relation(_62498), empty(_62498), function(_62498)], (219 ^ _56198) ^ [] : [-(empty(217 ^ []))], (221 ^ _56198) ^ [] : [-(relation(217 ^ []))], (223 ^ _56198) ^ [_63140] : [empty(_63140), -(relation(_63140))], (230 ^ _56198) ^ [] : [empty(228 ^ [])], (232 ^ _56198) ^ [] : [-(relation(228 ^ []))], (234 ^ _56198) ^ [_63476] : [empty(relation_dom(_63476)), -(empty(_63476)), relation(_63476)], (244 ^ _56198) ^ [_63753] : [empty(_63753), 247 ^ _56198 : [(248 ^ _56198) ^ [] : [-(empty(relation_dom(_63753)))], (250 ^ _56198) ^ [] : [-(relation(relation_dom(_63753)))]]], (253 ^ _56198) ^ [] : [-(empty(251 ^ []))], (256 ^ _56198) ^ [] : [empty(254 ^ [])], (258 ^ _56198) ^ [_64211, _64213] : [element(_64213, _64211), -(empty(_64211)), -(in(_64213, _64211))], (268 ^ _56198) ^ [_64495] : [empty(_64495), -(_64495 = empty_set)], (274 ^ _56198) ^ [_64697, _64699] : [empty(_64699), -(_64699 = _64697), empty(_64697)], (284 ^ _56198) ^ [_64979, _64981] : [-(set_intersection2(_64981, _64979) = set_intersection2(_64979, _64981))], (286 ^ _56198) ^ [_65079, _65081] : [-(set_intersection2(_65081, _65081) = _65081)], (288 ^ _56198) ^ [_65191, _65193] : [in(_65193, _65191), in(_65191, _65193)], (294 ^ _56198) ^ [] : [true___, -(true___)], (300 ^ _56198) ^ [] : [true___, -(true___)], (306 ^ _56198) ^ [] : [true___, -(true___)], (312 ^ _56198) ^ [_65759, _65761] : [relation(_65761), -(relation(relation_dom_restriction(_65761, _65759)))], (319 ^ _56198) ^ [] : [-(relation(317 ^ []))], (321 ^ _56198) ^ [] : [-(function(317 ^ []))], (323 ^ _56198) ^ [_66120, _66122] : [330 ^ _56198 : [(331 ^ _56198) ^ [] : [-(relation(relation_dom_restriction(_66122, _66120)))], (333 ^ _56198) ^ [] : [-(function(relation_dom_restriction(_66122, _66120)))]], relation(_66122), function(_66122)], (335 ^ _56198) ^ [_66498, _66500] : [-(relation(set_intersection2(_66500, _66498))), relation(_66500), relation(_66498)], (345 ^ _56198) ^ [_66797, _66799] : [in(_66799, _66797), -(element(_66799, _66797))], (351 ^ _56198) ^ [_67007, _67009] : [in(_67009, _67007), empty(_67007)], (357 ^ _56198) ^ [_67194, _67196] : [relation(_67194), function(_67194), 364 ^ _56198 : [(365 ^ _56198) ^ [_67461] : [relation(_67461), function(_67461), 372 ^ _56198 : [(373 ^ _56198) ^ [] : [_67194 = relation_dom_restriction(_67461, _67196), 376 ^ _56198 : [(377 ^ _56198) ^ [] : [-(relation_dom(_67194) = set_intersection2(relation_dom(_67461), _67196))], (379 ^ _56198) ^ [_67915] : [in(_67915, relation_dom(_67194)), -(apply(_67194, _67915) = apply(_67461, _67915))]]], (385 ^ _56198) ^ [] : [-(_67194 = relation_dom_restriction(_67461, _67196)), relation_dom(_67194) = set_intersection2(relation_dom(_67461), _67196), 391 ^ _56198 : [(392 ^ _56198) ^ [] : [-(in(390 ^ [_67194, _67196, _67461], relation_dom(_67194)))], (394 ^ _56198) ^ [] : [apply(_67194, 390 ^ [_67194, _67196, _67461]) = apply(_67461, 390 ^ [_67194, _67196, _67461])]]]]]]]], input).
% 0.32/1.38  ncf('1',plain,[apply(relation_dom_restriction(399 ^ [], 397 ^ []), 398 ^ []) = apply(399 ^ [], 398 ^ [])],start(407 ^ 0)).
% 0.32/1.38  ncf('1.1',plain,[-(apply(relation_dom_restriction(399 ^ [], 397 ^ []), 398 ^ []) = apply(399 ^ [], 398 ^ [])), 379 : in(398 ^ [], relation_dom(relation_dom_restriction(399 ^ [], 397 ^ []))), 379 : relation_dom_restriction(399 ^ [], 397 ^ []) = relation_dom_restriction(399 ^ [], 397 ^ []), 373 : relation(399 ^ []), 373 : function(399 ^ []), 365 : relation(relation_dom_restriction(399 ^ [], 397 ^ [])), 365 : function(relation_dom_restriction(399 ^ [], 397 ^ []))],extension(357 ^ 1,bind([[_67194, _67196, _67461, _67915], [relation_dom_restriction(399 ^ [], 397 ^ []), 397 ^ [], 399 ^ [], 398 ^ []]]))).
% 0.32/1.38  ncf('1.1.1',plain,[-(in(398 ^ [], relation_dom(relation_dom_restriction(399 ^ [], 397 ^ []))))],extension(405 ^ 8)).
% 0.32/1.38  ncf('1.1.2',plain,[-(relation_dom_restriction(399 ^ [], 397 ^ []) = relation_dom_restriction(399 ^ [], 397 ^ []))],extension(2 ^ 6,bind([[_56342], [relation_dom_restriction(399 ^ [], 397 ^ [])]]))).
% 0.32/1.38  ncf('1.1.3',plain,[-(relation(399 ^ []))],extension(401 ^ 4)).
% 0.32/1.38  ncf('1.1.4',plain,[-(function(399 ^ []))],extension(403 ^ 4)).
% 0.32/1.38  ncf('1.1.5',plain,[-(relation(relation_dom_restriction(399 ^ [], 397 ^ []))), relation(399 ^ [])],extension(312 ^ 2,bind([[_65759, _65761], [397 ^ [], 399 ^ []]]))).
% 0.32/1.38  ncf('1.1.5.1',plain,[-(relation(399 ^ []))],extension(401 ^ 3)).
% 0.32/1.38  ncf('1.1.6',plain,[-(function(relation_dom_restriction(399 ^ [], 397 ^ []))), relation(399 ^ []), function(399 ^ [])],extension(323 ^ 2,bind([[_66120, _66122], [397 ^ [], 399 ^ []]]))).
% 0.32/1.38  ncf('1.1.6.1',plain,[-(relation(399 ^ []))],extension(401 ^ 3)).
% 0.32/1.38  ncf('1.1.6.2',plain,[-(function(399 ^ []))],extension(403 ^ 3)).
% 0.32/1.38  %-----------------------------------------------------
% 0.32/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------