%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU046+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 12:02:08 EDT 2023

% Result   : Theorem 0.32s 1.37s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU046+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 13:00:17 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.32/1.37  
% 0.32/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.32/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  ncf(matrix, plain, [(482 ^ _67178) ^ [] : [-(relation(480 ^ []))], (484 ^ _67178) ^ [] : [-(function(480 ^ []))], (486 ^ _67178) ^ [] : [subset(relation_dom(relation_rng_restriction(479 ^ [], 480 ^ [])), relation_dom(480 ^ [])), subset(relation_rng(relation_rng_restriction(479 ^ [], 480 ^ [])), relation_rng(480 ^ []))], (112 ^ _67178) ^ [_70753, _70755] : [_70755 = _70753, -(powerset(_70755) = powerset(_70753))], (118 ^ _67178) ^ [_70999, _71001, _71003, _71005] : [-(apply(_71005, _71001) = apply(_71003, _70999)), _71005 = _71003, _71001 = _70999], (128 ^ _67178) ^ [_71330, _71332] : [_71332 = _71330, -(relation_dom(_71332) = relation_dom(_71330))], (144 ^ _67178) ^ [_71887, _71889] : [_71889 = _71887, -(relation_rng(_71889) = relation_rng(_71887))], (134 ^ _67178) ^ [_71576, _71578, _71580, _71582] : [-(relation_rng_restriction(_71582, _71578) = relation_rng_restriction(_71580, _71576)), _71582 = _71580, _71578 = _71576], (2 ^ _67178) ^ [_67322] : [-(_67322 = _67322)], (4 ^ _67178) ^ [_67429, _67431] : [_67431 = _67429, -(_67429 = _67431)], (10 ^ _67178) ^ [_67633, _67635, _67637] : [-(_67637 = _67633), _67637 = _67635, _67635 = _67633], (20 ^ _67178) ^ [_67946, _67948] : [-(one_to_one(_67946)), _67948 = _67946, one_to_one(_67948)], (30 ^ _67178) ^ [_68241, _68243] : [-(relation_empty_yielding(_68241)), _68243 = _68241, relation_empty_yielding(_68243)], (40 ^ _67178) ^ [_68564, _68566, _68568, _68570] : [-(element(_68568, _68564)), element(_68570, _68566), _68570 = _68568, _68566 = _68564], (54 ^ _67178) ^ [_69008, _69010, _69012, _69014] : [-(in(_69012, _69008)), in(_69014, _69010), _69014 = _69012, _69010 = _69008], (68 ^ _67178) ^ [_69424, _69426] : [-(empty(_69424)), _69426 = _69424, empty(_69426)], (78 ^ _67178) ^ [_69719, _69721] : [-(relation(_69719)), _69721 = _69719, relation(_69721)], (88 ^ _67178) ^ [_70014, _70016] : [-(function(_70014)), _70016 = _70014, function(_70016)], (98 ^ _67178) ^ [_70317, _70319, _70321, _70323] : [-(subset(_70321, _70317)), subset(_70323, _70319), _70323 = _70321, _70319 = _70317], (150 ^ _67178) ^ [_72123, _72125] : [in(_72125, _72123), in(_72123, _72125)], (156 ^ _67178) ^ [_72320] : [empty(_72320), -(function(_72320))], (162 ^ _67178) ^ [_72506] : [empty(_72506), -(relation(_72506))], (168 ^ _67178) ^ [_72692] : [179 ^ _67178 : [(180 ^ _67178) ^ [] : [-(relation(_72692))], (182 ^ _67178) ^ [] : [-(function(_72692))], (184 ^ _67178) ^ [] : [-(one_to_one(_72692))]], relation(_72692), empty(_72692), function(_72692)], (196 ^ _67178) ^ [_73542, _73544] : [198 ^ _67178 : [(199 ^ _67178) ^ [] : [-(in(197 ^ [_73542, _73544], _73544))], (201 ^ _67178) ^ [] : [in(197 ^ [_73542, _73544], _73542)]], -(subset(_73544, _73542))], (186 ^ _67178) ^ [_73228, _73230] : [subset(_73230, _73228), 189 ^ _67178 : [(190 ^ _67178) ^ [_73365] : [in(_73365, _73230), -(in(_73365, _73228))]]], (205 ^ _67178) ^ [_73899, _73901] : [relation(_73899), -(relation(relation_rng_restriction(_73901, _73899)))], (212 ^ _67178) ^ [_74121] : [-(element(210 ^ [_74121], _74121))], (214 ^ _67178) ^ [] : [-(empty(empty_set))], (216 ^ _67178) ^ [] : [-(relation(empty_set))], (218 ^ _67178) ^ [] : [-(relation_empty_yielding(empty_set))], (220 ^ _67178) ^ [_74366] : [empty(powerset(_74366))], (222 ^ _67178) ^ [] : [-(empty(empty_set))], (224 ^ _67178) ^ [] : [-(empty(empty_set))], (226 ^ _67178) ^ [] : [-(relation(empty_set))], (228 ^ _67178) ^ [_74635, _74637] : [235 ^ _67178 : [(236 ^ _67178) ^ [] : [-(relation(relation_rng_restriction(_74637, _74635)))], (238 ^ _67178) ^ [] : [-(function(relation_rng_restriction(_74637, _74635)))]], relation(_74635), function(_74635)], (240 ^ _67178) ^ [_74999] : [empty(relation_dom(_74999)), -(empty(_74999)), relation(_74999)], (250 ^ _67178) ^ [_75276] : [empty(relation_rng(_75276)), -(empty(_75276)), relation(_75276)], (260 ^ _67178) ^ [_75553] : [empty(_75553), 263 ^ _67178 : [(264 ^ _67178) ^ [] : [-(empty(relation_dom(_75553)))], (266 ^ _67178) ^ [] : [-(relation(relation_dom(_75553)))]]], (268 ^ _67178) ^ [_75818] : [empty(_75818), 271 ^ _67178 : [(272 ^ _67178) ^ [] : [-(empty(relation_rng(_75818)))], (274 ^ _67178) ^ [] : [-(relation(relation_rng(_75818)))]]], (277 ^ _67178) ^ [] : [-(relation(275 ^ []))], (279 ^ _67178) ^ [] : [-(function(275 ^ []))], (282 ^ _67178) ^ [] : [-(empty(280 ^ []))], (284 ^ _67178) ^ [] : [-(relation(280 ^ []))], (286 ^ _67178) ^ [_76381] : [-(empty(_76381)), 290 ^ _67178 : [(291 ^ _67178) ^ [] : [-(element(289 ^ [_76381], powerset(_76381)))], (293 ^ _67178) ^ [] : [empty(289 ^ [_76381])]]], (296 ^ _67178) ^ [] : [-(empty(294 ^ []))], (299 ^ _67178) ^ [] : [-(relation(297 ^ []))], (301 ^ _67178) ^ [] : [-(empty(297 ^ []))], (303 ^ _67178) ^ [] : [-(function(297 ^ []))], (306 ^ _67178) ^ [] : [empty(304 ^ [])], (308 ^ _67178) ^ [] : [-(relation(304 ^ []))], (311 ^ _67178) ^ [_77212] : [-(element(309 ^ [_77212], powerset(_77212)))], (313 ^ _67178) ^ [_77263] : [-(empty(309 ^ [_77263]))], (316 ^ _67178) ^ [] : [empty(314 ^ [])], (319 ^ _67178) ^ [] : [-(relation(317 ^ []))], (321 ^ _67178) ^ [] : [-(function(317 ^ []))], (323 ^ _67178) ^ [] : [-(one_to_one(317 ^ []))], (326 ^ _67178) ^ [] : [-(relation(324 ^ []))], (328 ^ _67178) ^ [] : [-(relation_empty_yielding(324 ^ []))], (330 ^ _67178) ^ [_77809, _77811] : [-(subset(_77811, _77811))], (332 ^ _67178) ^ [_77918, _77920] : [relation(_77918), -(subset(relation_rng(relation_rng_restriction(_77920, _77918)), relation_rng(_77918)))], (338 ^ _67178) ^ [_78140, _78142] : [in(_78142, _78140), -(element(_78142, _78140))], (344 ^ _67178) ^ [_78350, _78352] : [element(_78352, _78350), -(empty(_78350)), -(in(_78352, _78350))], (354 ^ _67178) ^ [_78677, _78679] : [element(_78679, powerset(_78677)), -(subset(_78679, _78677))], (360 ^ _67178) ^ [_78843, _78845] : [subset(_78845, _78843), -(element(_78845, powerset(_78843)))], (366 ^ _67178) ^ [_79073, _79075, _79077] : [-(element(_79077, _79073)), in(_79077, _79075), element(_79075, powerset(_79073))], (376 ^ _67178) ^ [_79400, _79402, _79404] : [in(_79404, _79402), element(_79402, powerset(_79400)), empty(_79400)], (386 ^ _67178) ^ [_79696] : [empty(_79696), -(_79696 = empty_set)], (392 ^ _67178) ^ [_79898, _79900] : [in(_79900, _79898), empty(_79898)], (470 ^ _67178) ^ [_82588, _82590] : [empty(_82590), -(_82590 = _82588), empty(_82588)], (398 ^ _67178) ^ [_80105, _80107] : [relation(_80105), function(_80105), 405 ^ _67178 : [(406 ^ _67178) ^ [_80389] : [relation(_80389), function(_80389), 413 ^ _67178 : [(442 ^ _67178) ^ [] : [-(_80105 = relation_rng_restriction(_80107, _80389)), 463 ^ _67178 : [(464 ^ _67178) ^ [] : [-(in(462 ^ [_80105, _80107, _80389], relation_dom(_80105)))], (466 ^ _67178) ^ [] : [apply(_80105, 462 ^ [_80105, _80107, _80389]) = apply(_80389, 462 ^ [_80105, _80107, _80389])]], 456 ^ _67178 : [(457 ^ _67178) ^ [] : [-(in(445 ^ [_80105, _80107, _80389], relation_dom(_80389)))], (459 ^ _67178) ^ [] : [-(in(apply(_80389, 445 ^ [_80105, _80107, _80389]), _80107))], (461 ^ _67178) ^ [] : [in(445 ^ [_80105, _80107, _80389], relation_dom(_80105))]], 448 ^ _67178 : [(449 ^ _67178) ^ [] : [-(in(445 ^ [_80105, _80107, _80389], relation_dom(_80105)))], (451 ^ _67178) ^ [] : [in(445 ^ [_80105, _80107, _80389], relation_dom(_80389)), in(apply(_80389, 445 ^ [_80105, _80107, _80389]), _80107)]]], (414 ^ _67178) ^ [] : [_80105 = relation_rng_restriction(_80107, _80389), 417 ^ _67178 : [(436 ^ _67178) ^ [_81414] : [in(_81414, relation_dom(_80105)), -(apply(_80105, _81414) = apply(_80389, _81414))], (418 ^ _67178) ^ [_80834] : [in(_80834, relation_dom(_80105)), 421 ^ _67178 : [(422 ^ _67178) ^ [] : [-(in(_80834, relation_dom(_80389)))], (424 ^ _67178) ^ [] : [-(in(apply(_80389, _80834), _80107))]]], (426 ^ _67178) ^ [_81107] : [-(in(_81107, relation_dom(_80105))), in(_81107, relation_dom(_80389)), in(apply(_80389, _81107), _80107)]]]]]]]], input).
% 0.32/1.37  ncf('1',plain,[subset(relation_dom(relation_rng_restriction(479 ^ [], 480 ^ [])), relation_dom(480 ^ [])), subset(relation_rng(relation_rng_restriction(479 ^ [], 480 ^ [])), relation_rng(480 ^ []))],start(486 ^ 0)).
% 0.32/1.37  ncf('1.1',plain,[-(subset(relation_dom(relation_rng_restriction(479 ^ [], 480 ^ [])), relation_dom(480 ^ []))), 199 : -(in(197 ^ [relation_dom(480 ^ []), relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))], relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))))],extension(196 ^ 1,bind([[_73542, _73544], [relation_dom(480 ^ []), relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))]]))).
% 0.32/1.37  ncf('1.1.1',plain,[in(197 ^ [relation_dom(480 ^ []), relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))], relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))), 422 : -(in(197 ^ [relation_dom(480 ^ []), relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))], relation_dom(480 ^ []))), 418 : relation_rng_restriction(479 ^ [], 480 ^ []) = relation_rng_restriction(479 ^ [], 480 ^ []), 414 : relation(480 ^ []), 414 : function(480 ^ []), 406 : relation(relation_rng_restriction(479 ^ [], 480 ^ [])), 406 : function(relation_rng_restriction(479 ^ [], 480 ^ []))],extension(398 ^ 4,bind([[_80105, _80107, _80389, _80834], [relation_rng_restriction(479 ^ [], 480 ^ []), 479 ^ [], 480 ^ [], 197 ^ [relation_dom(480 ^ []), relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))]]]))).
% 0.32/1.37  ncf('1.1.1.1',plain,[in(197 ^ [relation_dom(480 ^ []), relation_dom(relation_rng_restriction(479 ^ [], 480 ^ []))], relation_dom(480 ^ []))],extension(201 ^ 13)).
% 0.32/1.37  ncf('1.1.1.2',plain,[-(relation_rng_restriction(479 ^ [], 480 ^ []) = relation_rng_restriction(479 ^ [], 480 ^ []))],extension(2 ^ 9,bind([[_67322], [relation_rng_restriction(479 ^ [], 480 ^ [])]]))).
% 0.32/1.37  ncf('1.1.1.3',plain,[-(relation(480 ^ []))],extension(482 ^ 7)).
% 0.32/1.37  ncf('1.1.1.4',plain,[-(function(480 ^ []))],extension(484 ^ 7)).
% 0.32/1.37  ncf('1.1.1.5',plain,[-(relation(relation_rng_restriction(479 ^ [], 480 ^ []))), relation(480 ^ [])],extension(205 ^ 5,bind([[_73899, _73901], [480 ^ [], 479 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.5.1',plain,[-(relation(480 ^ []))],extension(482 ^ 6)).
% 0.32/1.37  ncf('1.1.1.6',plain,[-(function(relation_rng_restriction(479 ^ [], 480 ^ []))), relation(480 ^ []), function(480 ^ [])],extension(228 ^ 5,bind([[_74635, _74637], [480 ^ [], 479 ^ []]]))).
% 0.32/1.37  ncf('1.1.1.6.1',plain,[-(relation(480 ^ []))],extension(482 ^ 6)).
% 0.32/1.37  ncf('1.1.1.6.2',plain,[-(function(480 ^ []))],extension(484 ^ 6)).
% 0.32/1.37  ncf('1.2',plain,[-(subset(relation_rng(relation_rng_restriction(479 ^ [], 480 ^ [])), relation_rng(480 ^ []))), relation(480 ^ [])],extension(332 ^ 1,bind([[_77918, _77920], [480 ^ [], 479 ^ []]]))).
% 0.32/1.37  ncf('1.2.1',plain,[-(relation(480 ^ []))],extension(482 ^ 2)).
% 0.32/1.37  %-----------------------------------------------------
% 0.32/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------