%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:02:52 EDT 2023

% Result   : Theorem 43.57s 42.70s
% Output   : Proof 43.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU248+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 13:17:13 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 43.57/42.70  
% 43.57/42.70  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.57/42.70  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.57/42.70  %-----------------------------------------------------
% 43.57/42.70  ncf(matrix, plain, [(460 ^ _82434) ^ [] : [subset(relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), relation_dom(456 ^ []))], (458 ^ _82434) ^ [] : [-(relation(456 ^ []))], !, (328 ^ _67321) ^ [_78199, _78201] : [relation(_78199), -(relation(relation_rng_restriction(_78201, _78199)))], (310 ^ _67321) ^ [] : [true___, -(true___)], (434 ^ _67321) ^ [_81574] : [empty(_81574), -(_81574 = empty_set)], (180 ^ _67321) ^ [_73187, _73189] : [-(unordered_pair(_73189, _73187) = unordered_pair(_73187, _73189))], (382 ^ _67321) ^ [] : [-(one_to_one(376 ^ []))], (362 ^ _67321) ^ [] : [-(function(358 ^ []))], (40 ^ _67321) ^ [_68687, _68689, _68691, _68693] : [-(element(_68691, _68687)), element(_68693, _68689), _68693 = _68691, _68689 = _68687], (88 ^ _67321) ^ [_70145, _70147, _70149, _70151] : [-(subset(_70149, _70145)), subset(_70151, _70147), _70151 = _70149, _70147 = _70145], (4 ^ _67321) ^ [_67552, _67554] : [_67554 = _67552, -(_67552 = _67554)], (54 ^ _67321) ^ [_69131, _69133, _69135, _69137] : [-(in(_69135, _69131)), in(_69137, _69133), _69137 = _69135, _69133 = _69131], (341 ^ _67321) ^ [_78540] : [-(element(339 ^ [_78540], _78540))], (360 ^ _67321) ^ [] : [-(relation(358 ^ []))], (368 ^ _67321) ^ [] : [-(relation(366 ^ []))], (156 ^ _67321) ^ [_72509] : [empty(_72509), -(function(_72509))], (298 ^ _67321) ^ [] : [true___, -(true___)], (402 ^ _67321) ^ [_80555, _80557] : [element(_80557, powerset(_80555)), -(subset(_80557, _80555))], (112 ^ _67321) ^ [_70938, _70940] : [_70940 = _70938, -(singleton(_70940) = singleton(_70938))], (370 ^ _67321) ^ [] : [-(empty(366 ^ []))], (150 ^ _67321) ^ [_72312, _72314] : [in(_72314, _72312), in(_72312, _72314)], (68 ^ _67321) ^ [_69547, _69549] : [-(empty(_69547)), _69549 = _69547, empty(_69549)], (134 ^ _67321) ^ [_71761, _71763, _71765, _71767] : [-(relation_rng_restriction(_71767, _71763) = relation_rng_restriction(_71765, _71761)), _71767 = _71765, _71763 = _71761], (78 ^ _67321) ^ [_69842, _69844] : [-(relation(_69842)), _69844 = _69842, relation(_69844)], (102 ^ _67321) ^ [_70607, _70609, _70611, _70613] : [-(unordered_pair(_70613, _70609) = unordered_pair(_70611, _70607)), _70613 = _70611, _70609 = _70607], (20 ^ _67321) ^ [_68069, _68071] : [-(function(_68069)), _68071 = _68069, function(_68071)], (316 ^ _67321) ^ [] : [true___, -(true___)], (253 ^ _67321) ^ [_75925] : [relation(_75925), 256 ^ _67321 : [(257 ^ _67321) ^ [_76106] : [_76106 = relation_dom(_75925), 260 ^ _67321 : [(268 ^ _67321) ^ [_76530] : [269 ^ _67321 : [(270 ^ _67321) ^ [_76609] : [in(ordered_pair(_76530, _76609), _75925)]], -(in(_76530, _76106))], (261 ^ _67321) ^ [_76286] : [in(_76286, _76106), -(in(ordered_pair(_76286, 264 ^ [_75925, _76106, _76286]), _75925))]]], (274 ^ _67321) ^ [_76737] : [-(_76737 = relation_dom(_75925)), 278 ^ _67321 : [(281 ^ _67321) ^ [_77000] : [in(ordered_pair(275 ^ [_75925, _76737], _77000), _75925)], (279 ^ _67321) ^ [] : [-(in(275 ^ [_75925, _76737], _76737))]], 283 ^ _67321 : [(286 ^ _67321) ^ [] : [in(275 ^ [_75925, _76737], _76737)], (284 ^ _67321) ^ [] : [-(in(ordered_pair(275 ^ [_75925, _76737], 282 ^ [_75925, _76737]), _75925))]]]]], (234 ^ _67321) ^ [_75268, _75270] : [subset(_75270, _75268), 237 ^ _67321 : [(238 ^ _67321) ^ [_75405] : [in(_75405, _75270), -(in(_75405, _75268))]]], (290 ^ _67321) ^ [_77365, _77367] : [-(ordered_pair(_77367, _77365) = unordered_pair(unordered_pair(_77367, _77365), singleton(_77367)))], (372 ^ _67321) ^ [] : [-(function(366 ^ []))], (182 ^ _67321) ^ [_73302, _73304] : [relation(_73302), 185 ^ _67321 : [(186 ^ _67321) ^ [_73473] : [relation(_73473), 189 ^ _67321 : [(190 ^ _67321) ^ [] : [_73473 = relation_rng_restriction(_73304, _73302), 193 ^ _67321 : [(202 ^ _67321) ^ [_74079, _74081] : [-(in(ordered_pair(_74081, _74079), _73473)), in(_74079, _73304), in(ordered_pair(_74081, _74079), _73302)], (194 ^ _67321) ^ [_73800, _73802] : [in(ordered_pair(_73802, _73800), _73473), 197 ^ _67321 : [(200 ^ _67321) ^ [] : [-(in(ordered_pair(_73802, _73800), _73302))], (198 ^ _67321) ^ [] : [-(in(_73800, _73304))]]]]], (212 ^ _67321) ^ [] : [-(_73473 = relation_rng_restriction(_73304, _73302)), 225 ^ _67321 : [(230 ^ _67321) ^ [] : [in(ordered_pair(213 ^ [_73302, _73304, _73473], 214 ^ [_73302, _73304, _73473]), _73473)], (228 ^ _67321) ^ [] : [-(in(ordered_pair(213 ^ [_73302, _73304, _73473], 214 ^ [_73302, _73304, _73473]), _73302))], (226 ^ _67321) ^ [] : [-(in(214 ^ [_73302, _73304, _73473], _73304))]], 217 ^ _67321 : [(220 ^ _67321) ^ [] : [in(214 ^ [_73302, _73304, _73473], _73304), in(ordered_pair(213 ^ [_73302, _73304, _73473], 214 ^ [_73302, _73304, _73473]), _73302)], (218 ^ _67321) ^ [] : [-(in(ordered_pair(213 ^ [_73302, _73304, _73473], 214 ^ [_73302, _73304, _73473]), _73473))]]]]]]], (10 ^ _67321) ^ [_67756, _67758, _67760] : [-(_67760 = _67756), _67760 = _67758, _67758 = _67756], (408 ^ _67321) ^ [_80721, _80723] : [subset(_80723, _80721), -(element(_80723, powerset(_80721)))], (414 ^ _67321) ^ [_80951, _80953, _80955] : [-(element(_80955, _80951)), in(_80955, _80953), element(_80953, powerset(_80951))], (345 ^ _67321) ^ [_78689, _78691] : [empty(ordered_pair(_78691, _78689))], (343 ^ _67321) ^ [] : [-(empty(empty_set))], (424 ^ _67321) ^ [_81278, _81280, _81282] : [in(_81282, _81280), element(_81280, powerset(_81278)), empty(_81278)], (347 ^ _67321) ^ [_78800, _78802] : [354 ^ _67321 : [(357 ^ _67321) ^ [] : [-(function(relation_rng_restriction(_78802, _78800)))], (355 ^ _67321) ^ [] : [-(relation(relation_rng_restriction(_78802, _78800)))]], relation(_78800), function(_78800)], (365 ^ _67321) ^ [] : [-(empty(363 ^ []))], (304 ^ _67321) ^ [] : [true___, -(true___)], (386 ^ _67321) ^ [_80018, _80020] : [in(_80020, _80018), -(element(_80020, _80018))], (440 ^ _67321) ^ [_81776, _81778] : [in(_81778, _81776), empty(_81776)], (446 ^ _67321) ^ [_81963, _81965] : [empty(_81965), -(_81965 = _81963), empty(_81963)], (392 ^ _67321) ^ [_80228, _80230] : [element(_80230, _80228), -(empty(_80228)), -(in(_80230, _80228))], (292 ^ _67321) ^ [] : [true___, -(true___)], (322 ^ _67321) ^ [] : [true___, -(true___)], (128 ^ _67321) ^ [_71515, _71517] : [_71517 = _71515, -(powerset(_71517) = powerset(_71515))], (380 ^ _67321) ^ [] : [-(function(376 ^ []))], (144 ^ _67321) ^ [_72072, _72074] : [_72074 = _72072, -(relation_dom(_72074) = relation_dom(_72072))], (2 ^ _67321) ^ [_67445] : [-(_67445 = _67445)], (384 ^ _67321) ^ [_79909, _79911] : [-(subset(_79911, _79911))], (30 ^ _67321) ^ [_68364, _68366] : [-(one_to_one(_68364)), _68366 = _68364, one_to_one(_68366)], (244 ^ _67321) ^ [_75582, _75584] : [246 ^ _67321 : [(249 ^ _67321) ^ [] : [in(245 ^ [_75582, _75584], _75582)], (247 ^ _67321) ^ [] : [-(in(245 ^ [_75582, _75584], _75584))]], -(subset(_75584, _75582))], (334 ^ _67321) ^ [] : [true___, -(true___)], (378 ^ _67321) ^ [] : [-(relation(376 ^ []))], (118 ^ _67321) ^ [_71184, _71186, _71188, _71190] : [-(ordered_pair(_71190, _71186) = ordered_pair(_71188, _71184)), _71190 = _71188, _71186 = _71184], (375 ^ _67321) ^ [] : [empty(373 ^ [])], (162 ^ _67321) ^ [_72695] : [173 ^ _67321 : [(178 ^ _67321) ^ [] : [-(one_to_one(_72695))], (176 ^ _67321) ^ [] : [-(function(_72695))], (174 ^ _67321) ^ [] : [-(relation(_72695))]], relation(_72695), empty(_72695), function(_72695)]], input).
% 43.57/42.70  ncf('1',plain,[-(relation(456 ^ []))],start(458 ^ 0)).
% 43.57/42.70  ncf('1.1',plain,[relation(456 ^ []), 257 : relation_dom(456 ^ []) = relation_dom(456 ^ []), 270 : in(ordered_pair(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], 264 ^ [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]), 456 ^ []), 270 : -(in(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], relation_dom(456 ^ [])))],extension(253 ^ 1,bind([[_75925, _76106, _76530, _76609], [456 ^ [], relation_dom(456 ^ []), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], 264 ^ [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]]]))).
% 43.57/42.70  ncf('1.1.1',plain,[-(relation_dom(456 ^ []) = relation_dom(456 ^ [])), relation_dom(456 ^ []) = relation_dom(456 ^ [])],extension(4 ^ 4,bind([[_67552, _67554], [relation_dom(456 ^ []), relation_dom(456 ^ [])]]))).
% 43.57/42.70  ncf('1.1.1.1',plain,[-(relation_dom(456 ^ []) = relation_dom(456 ^ [])), 456 ^ [] = 456 ^ []],extension(144 ^ 5,bind([[_72072, _72074], [456 ^ [], 456 ^ []]]))).
% 43.57/42.70  ncf('1.1.1.1.1',plain,[-(456 ^ [] = 456 ^ [])],extension(2 ^ 6,bind([[_67445], [456 ^ []]]))).
% 43.57/42.70  ncf('1.1.2',plain,[-(in(ordered_pair(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], 264 ^ [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]), 456 ^ [])), 194 : in(ordered_pair(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], 264 ^ [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]), relation_rng_restriction(455 ^ [], 456 ^ [])), 194 : relation_rng_restriction(455 ^ [], 456 ^ []) = relation_rng_restriction(455 ^ [], 456 ^ []), 190 : relation(relation_rng_restriction(455 ^ [], 456 ^ [])), 186 : relation(456 ^ [])],extension(182 ^ 8,bind([[_73302, _73304, _73473, _73800, _73802], [456 ^ [], 455 ^ [], relation_rng_restriction(455 ^ [], 456 ^ []), 264 ^ [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]], 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]]))).
% 43.57/42.70  ncf('1.1.2.1',plain,[-(in(ordered_pair(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], 264 ^ [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]), relation_rng_restriction(455 ^ [], 456 ^ []))), 261 : in(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))), 261 : relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])) = relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 257 : relation(relation_rng_restriction(455 ^ [], 456 ^ []))],extension(253 ^ 15,bind([[_75925, _76106, _76286], [relation_rng_restriction(455 ^ [], 456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), 245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]]))).
% 43.57/42.70  ncf('1.1.2.1.1',plain,[-(in(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])))), -(subset(relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), relation_dom(456 ^ [])))],extension(244 ^ 20,bind([[_75582, _75584], [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]))).
% 43.57/42.70  ncf('1.1.2.1.1.1',plain,[subset(relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), relation_dom(456 ^ []))],extension(460 ^ 21)).
% 43.57/42.70  ncf('1.1.2.1.2',plain,[-(relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])) = relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])))],extension(2 ^ 18,bind([[_67445], [relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]))).
% 43.57/42.70  ncf('1.1.2.1.3',plain,[-(relation(relation_rng_restriction(455 ^ [], 456 ^ []))), relation(456 ^ [])],extension(328 ^ 16,bind([[_78199, _78201], [456 ^ [], 455 ^ []]]))).
% 43.57/42.70  ncf('1.1.2.1.3.1',plain,[-(relation(456 ^ []))],reduction('1')).
% 43.57/42.70  ncf('1.1.2.2',plain,[-(relation_rng_restriction(455 ^ [], 456 ^ []) = relation_rng_restriction(455 ^ [], 456 ^ [])), relation_rng_restriction(455 ^ [], 456 ^ []) = relation_rng_restriction(455 ^ [], 456 ^ [])],extension(4 ^ 13,bind([[_67552, _67554], [relation_rng_restriction(455 ^ [], 456 ^ []), relation_rng_restriction(455 ^ [], 456 ^ [])]]))).
% 43.57/42.70  ncf('1.1.2.2.1',plain,[-(relation_rng_restriction(455 ^ [], 456 ^ []) = relation_rng_restriction(455 ^ [], 456 ^ []))],extension(2 ^ 14,bind([[_67445], [relation_rng_restriction(455 ^ [], 456 ^ [])]]))).
% 43.57/42.70  ncf('1.1.2.3',plain,[-(relation(relation_rng_restriction(455 ^ [], 456 ^ []))), relation(456 ^ [])],extension(328 ^ 11,bind([[_78199, _78201], [456 ^ [], 455 ^ []]]))).
% 43.57/42.70  ncf('1.1.2.3.1',plain,[-(relation(456 ^ []))],reduction('1')).
% 43.57/42.70  ncf('1.1.2.4',plain,[-(relation(456 ^ []))],reduction('1')).
% 43.57/42.70  ncf('1.1.3',plain,[in(245 ^ [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))], relation_dom(456 ^ [])), -(subset(relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), relation_dom(456 ^ [])))],extension(244 ^ 6,bind([[_75582, _75584], [relation_dom(456 ^ []), relation_dom(relation_rng_restriction(455 ^ [], 456 ^ []))]]))).
% 43.57/42.70  ncf('1.1.3.1',plain,[subset(relation_dom(relation_rng_restriction(455 ^ [], 456 ^ [])), relation_dom(456 ^ []))],extension(460 ^ 7)).
% 43.57/42.70  %-----------------------------------------------------
% 43.57/42.70  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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