%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 12:02:05 EDT 2023

% Result   : Theorem 43.61s 42.81s
% Output   : Proof 43.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 13:42:30 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 43.61/42.81  
% 43.61/42.81  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.61/42.81  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.61/42.81  %-----------------------------------------------------
% 43.61/42.81  ncf(matrix, plain, [(446 ^ _86085) ^ [] : [-(function(442 ^ []))], (444 ^ _86085) ^ [] : [-(relation(442 ^ []))], (455 ^ _86085) ^ [] : [one_to_one(442 ^ [])], (451 ^ _86085) ^ [] : [-(function(447 ^ []))], (453 ^ _86085) ^ [] : [-(relation_composition(442 ^ [], 447 ^ []) = identity_relation(relation_dom(442 ^ [])))], (449 ^ _86085) ^ [] : [-(relation(447 ^ []))], !, (10 ^ _71898) ^ [_72333, _72335, _72337] : [-(_72337 = _72333), _72337 = _72335, _72335 = _72333], (325 ^ _71898) ^ [_82304] : [relation(_82304), function(_82304), 332 ^ _71898 : [(333 ^ _71898) ^ [_82539] : [relation(_82539), function(_82539), relation_dom(relation_composition(_82539, _82304)) = relation_dom(_82539), -(subset(relation_rng(_82539), relation_dom(_82304)))]]], (347 ^ _71898) ^ [_82956, _82958] : [element(_82958, _82956), -(empty(_82956)), -(in(_82958, _82956))], (417 ^ _71898) ^ [_85096] : [empty(_85096), -(_85096 = empty_set)], (313 ^ _71898) ^ [] : [-(relation(311 ^ []))], (152 ^ _71898) ^ [_76879] : [empty(_76879), -(function(_76879))], (227 ^ _71898) ^ [] : [-(relation(empty_set))], (225 ^ _71898) ^ [] : [-(empty(empty_set))], (302 ^ _71898) ^ [] : [-(relation(298 ^ []))], (287 ^ _71898) ^ [_80989] : [-(empty(_80989)), 291 ^ _71898 : [(294 ^ _71898) ^ [] : [empty(290 ^ [_80989])], (292 ^ _71898) ^ [] : [-(element(290 ^ [_80989], powerset(_80989)))]]], (285 ^ _71898) ^ [] : [-(relation(281 ^ []))], (319 ^ _71898) ^ [_82108, _82110] : [in(_82110, _82108), -(element(_82110, _82108))], (134 ^ _71898) ^ [_76248, _76250] : [_76250 = _76248, -(identity_relation(_76250) = identity_relation(_76248))], (118 ^ _71898) ^ [_75671, _75673] : [_75673 = _75671, -(relation_rng(_75673) = relation_rng(_75671))], (278 ^ _71898) ^ [] : [-(relation(276 ^ []))], (217 ^ _71898) ^ [_78828] : [empty(powerset(_78828))], (82 ^ _71898) ^ [_74568, _74570] : [-(relation(_74568)), _74570 = _74568, relation(_74570)], (407 ^ _71898) ^ [_84800, _84802, _84804] : [in(_84804, _84802), element(_84802, powerset(_84800)), empty(_84800)], (124 ^ _71898) ^ [_75917, _75919, _75921, _75923] : [-(relation_composition(_75923, _75919) = relation_composition(_75921, _75917)), _75923 = _75921, _75919 = _75917], (197 ^ _71898) ^ [_78306, _78308] : [212 ^ _71898 : [(215 ^ _71898) ^ [] : [-(function(relation_composition(_78308, _78306)))], (213 ^ _71898) ^ [] : [-(relation(relation_composition(_78308, _78306)))]], relation(_78308), function(_78308), relation(_78306), function(_78306)], (72 ^ _71898) ^ [_74273, _74275] : [-(empty(_74273)), _74275 = _74273, empty(_74275)], (307 ^ _71898) ^ [_81662] : [-(empty(303 ^ [_81662]))], (249 ^ _71898) ^ [_79783] : [empty(_79783), 252 ^ _71898 : [(255 ^ _71898) ^ [] : [-(relation(relation_dom(_79783)))], (253 ^ _71898) ^ [] : [-(empty(relation_dom(_79783)))]]], (58 ^ _71898) ^ [_73857, _73859, _73861, _73863] : [-(in(_73861, _73857)), in(_73863, _73859), _73863 = _73861, _73859 = _73857], (177 ^ _71898) ^ [_77653] : [-(element(175 ^ [_77653], _77653))], (280 ^ _71898) ^ [] : [-(function(276 ^ []))], (223 ^ _71898) ^ [_79025] : [-(function(identity_relation(_79025)))], (174 ^ _71898) ^ [_77535] : [-(relation(identity_relation(_77535)))], (433 ^ _71898) ^ [_85637, _85639] : [empty(_85639), -(_85639 = _85637), empty(_85637)], (146 ^ _71898) ^ [_76682, _76684] : [in(_76684, _76682), in(_76682, _76684)], (4 ^ _71898) ^ [_72129, _72131] : [_72131 = _72129, -(_72129 = _72131)], (179 ^ _71898) ^ [_77765, _77767] : [186 ^ _71898 : [(189 ^ _71898) ^ [] : [-(relation(relation_composition(_77765, _77767)))], (187 ^ _71898) ^ [] : [-(empty(relation_composition(_77765, _77767)))]], empty(_77767), relation(_77765)], (300 ^ _71898) ^ [] : [empty(298 ^ [])], (369 ^ _71898) ^ [_83651] : [relation(_83651), function(_83651), 376 ^ _71898 : [(377 ^ _71898) ^ [_83886] : [relation(_83886), function(_83886), -(one_to_one(_83886)), one_to_one(relation_composition(_83886, _83651)), subset(relation_rng(_83886), relation_dom(_83651))]]], (423 ^ _71898) ^ [_85289] : [-(relation_dom(identity_relation(_85289)) = _85289)], (30 ^ _71898) ^ [_72969, _72971, _72973, _72975] : [-(subset(_72973, _72969)), subset(_72975, _72971), _72975 = _72973, _72971 = _72969], (395 ^ _71898) ^ [_84394, _84396, _84398] : [-(element(_84398, _84394)), in(_84398, _84396), element(_84396, powerset(_84394))], (405 ^ _71898) ^ [_84678] : [-(one_to_one(identity_relation(_84678)))], (92 ^ _71898) ^ [_74863, _74865] : [-(function(_74863)), _74865 = _74863, function(_74865)], (265 ^ _71898) ^ [_80327, _80329] : [272 ^ _71898 : [(275 ^ _71898) ^ [] : [-(relation(relation_composition(_80329, _80327)))], (273 ^ _71898) ^ [] : [-(empty(relation_composition(_80329, _80327)))]], empty(_80329), relation(_80327)], (425 ^ _71898) ^ [_85337] : [-(relation_rng(identity_relation(_85337)) = _85337)], (283 ^ _71898) ^ [] : [-(empty(281 ^ []))], (112 ^ _71898) ^ [_75453, _75455] : [_75455 = _75453, -(powerset(_75455) = powerset(_75453))], (363 ^ _71898) ^ [_83449, _83451] : [subset(_83451, _83449), -(element(_83451, powerset(_83449)))], (140 ^ _71898) ^ [_76446, _76448] : [_76448 = _76446, -(relation_dom(_76448) = relation_dom(_76446))], (305 ^ _71898) ^ [_81611] : [-(element(303 ^ [_81611], powerset(_81611)))], (191 ^ _71898) ^ [] : [-(empty(empty_set))], (357 ^ _71898) ^ [_83283, _83285] : [element(_83285, powerset(_83283)), -(subset(_83285, _83283))], (229 ^ _71898) ^ [_79229] : [empty(relation_dom(_79229)), -(empty(_79229)), relation(_79229)], (427 ^ _71898) ^ [_85450, _85452] : [in(_85452, _85450), empty(_85450)], (257 ^ _71898) ^ [_80048] : [empty(_80048), 260 ^ _71898 : [(263 ^ _71898) ^ [] : [-(relation(relation_rng(_80048)))], (261 ^ _71898) ^ [] : [-(empty(relation_rng(_80048)))]]], (310 ^ _71898) ^ [] : [empty(308 ^ [])], (2 ^ _71898) ^ [_72022] : [-(_72022 = _72022)], (315 ^ _71898) ^ [] : [-(relation_empty_yielding(311 ^ []))], (195 ^ _71898) ^ [] : [-(relation_empty_yielding(empty_set))], (297 ^ _71898) ^ [] : [-(empty(295 ^ []))], (44 ^ _71898) ^ [_73413, _73415, _73417, _73419] : [-(element(_73417, _73413)), element(_73419, _73415), _73419 = _73417, _73415 = _73413], (102 ^ _71898) ^ [_75138, _75140] : [-(one_to_one(_75138)), _75140 = _75138, one_to_one(_75140)], (193 ^ _71898) ^ [] : [-(relation(empty_set))], (164 ^ _71898) ^ [_77265, _77267] : [-(relation(relation_composition(_77267, _77265))), relation(_77267), relation(_77265)], (219 ^ _71898) ^ [] : [-(empty(empty_set))], (239 ^ _71898) ^ [_79506] : [empty(relation_rng(_79506)), -(empty(_79506)), relation(_79506)], (317 ^ _71898) ^ [_81999, _82001] : [-(subset(_82001, _82001))], (221 ^ _71898) ^ [_78980] : [-(relation(identity_relation(_78980)))], (158 ^ _71898) ^ [_77065] : [empty(_77065), -(relation(_77065))], (20 ^ _71898) ^ [_72646, _72648] : [-(relation_empty_yielding(_72646)), _72648 = _72646, relation_empty_yielding(_72648)]], input).
% 43.61/42.81  ncf('1',plain,[-(function(442 ^ []))],start(446 ^ 0)).
% 43.61/42.81  ncf('1.1',plain,[function(442 ^ []), 333 : relation(442 ^ []), 333 : relation_dom(relation_composition(442 ^ [], 447 ^ [])) = relation_dom(442 ^ []), 333 : -(subset(relation_rng(442 ^ []), relation_dom(447 ^ []))), 333 : relation(447 ^ []), 333 : function(447 ^ [])],extension(325 ^ 1,bind([[_82304, _82539], [447 ^ [], 442 ^ []]]))).
% 43.61/42.81  ncf('1.1.1',plain,[-(relation(442 ^ []))],extension(444 ^ 4)).
% 43.61/42.81  ncf('1.1.2',plain,[-(relation_dom(relation_composition(442 ^ [], 447 ^ [])) = relation_dom(442 ^ [])), relation_dom(relation_composition(442 ^ [], 447 ^ [])) = relation_dom(442 ^ []), relation_dom(442 ^ []) = relation_dom(442 ^ [])],extension(10 ^ 4,bind([[_72333, _72335, _72337], [relation_dom(442 ^ []), relation_dom(442 ^ []), relation_dom(relation_composition(442 ^ [], 447 ^ []))]]))).
% 43.61/42.81  ncf('1.1.2.1',plain,[-(relation_dom(relation_composition(442 ^ [], 447 ^ [])) = relation_dom(442 ^ [])), relation_dom(relation_composition(442 ^ [], 447 ^ [])) = relation_dom(identity_relation(relation_dom(442 ^ []))), relation_dom(identity_relation(relation_dom(442 ^ []))) = relation_dom(442 ^ [])],extension(10 ^ 5,bind([[_72333, _72335, _72337], [relation_dom(442 ^ []), relation_dom(identity_relation(relation_dom(442 ^ []))), relation_dom(relation_composition(442 ^ [], 447 ^ []))]]))).
% 43.61/42.81  ncf('1.1.2.1.1',plain,[-(relation_dom(relation_composition(442 ^ [], 447 ^ [])) = relation_dom(identity_relation(relation_dom(442 ^ [])))), relation_composition(442 ^ [], 447 ^ []) = identity_relation(relation_dom(442 ^ []))],extension(140 ^ 6,bind([[_76446, _76448], [identity_relation(relation_dom(442 ^ [])), relation_composition(442 ^ [], 447 ^ [])]]))).
% 43.61/42.81  ncf('1.1.2.1.1.1',plain,[-(relation_composition(442 ^ [], 447 ^ []) = identity_relation(relation_dom(442 ^ [])))],extension(453 ^ 7)).
% 43.61/42.81  ncf('1.1.2.1.2',plain,[-(relation_dom(identity_relation(relation_dom(442 ^ []))) = relation_dom(442 ^ []))],extension(423 ^ 6,bind([[_85289], [relation_dom(442 ^ [])]]))).
% 43.61/42.81  ncf('1.1.2.2',plain,[-(relation_dom(442 ^ []) = relation_dom(442 ^ [])), 442 ^ [] = 442 ^ []],extension(140 ^ 5,bind([[_76446, _76448], [442 ^ [], 442 ^ []]]))).
% 43.61/42.81  ncf('1.1.2.2.1',plain,[-(442 ^ [] = 442 ^ [])],extension(2 ^ 6,bind([[_72022], [442 ^ []]]))).
% 43.61/42.81  ncf('1.1.3',plain,[subset(relation_rng(442 ^ []), relation_dom(447 ^ [])), 377 : relation(442 ^ []), 377 : function(442 ^ []), 377 : -(one_to_one(442 ^ [])), 377 : one_to_one(relation_composition(442 ^ [], 447 ^ [])), 377 : relation(447 ^ []), 377 : function(447 ^ [])],extension(369 ^ 4,bind([[_83651, _83886], [447 ^ [], 442 ^ []]]))).
% 43.61/42.81  ncf('1.1.3.1',plain,[-(relation(442 ^ []))],lemmata('[1].x')).
% 43.61/42.81  ncf('1.1.3.2',plain,[-(function(442 ^ []))],reduction('1')).
% 43.61/42.81  ncf('1.1.3.3',plain,[one_to_one(442 ^ [])],extension(455 ^ 7)).
% 43.61/42.81  ncf('1.1.3.4',plain,[-(one_to_one(relation_composition(442 ^ [], 447 ^ []))), identity_relation(relation_dom(442 ^ [])) = relation_composition(442 ^ [], 447 ^ []), one_to_one(identity_relation(relation_dom(442 ^ [])))],extension(102 ^ 7,bind([[_75138, _75140], [relation_composition(442 ^ [], 447 ^ []), identity_relation(relation_dom(442 ^ []))]]))).
% 43.61/42.81  ncf('1.1.3.4.1',plain,[-(identity_relation(relation_dom(442 ^ [])) = relation_composition(442 ^ [], 447 ^ [])), relation_composition(442 ^ [], 447 ^ []) = identity_relation(relation_dom(442 ^ []))],extension(4 ^ 8,bind([[_72129, _72131], [identity_relation(relation_dom(442 ^ [])), relation_composition(442 ^ [], 447 ^ [])]]))).
% 43.61/42.81  ncf('1.1.3.4.1.1',plain,[-(relation_composition(442 ^ [], 447 ^ []) = identity_relation(relation_dom(442 ^ [])))],extension(453 ^ 9)).
% 43.61/42.81  ncf('1.1.3.4.2',plain,[-(one_to_one(identity_relation(relation_dom(442 ^ []))))],extension(405 ^ 8,bind([[_84678], [relation_dom(442 ^ [])]]))).
% 43.61/42.81  ncf('1.1.3.5',plain,[-(relation(447 ^ []))],extension(449 ^ 5)).
% 43.61/42.81  ncf('1.1.3.6',plain,[-(function(447 ^ []))],extension(451 ^ 5)).
% 43.61/42.81  ncf('1.1.4',plain,[-(relation(447 ^ []))],extension(449 ^ 2)).
% 43.61/42.81  ncf('1.1.5',plain,[-(function(447 ^ []))],extension(451 ^ 2)).
% 43.61/42.81  %-----------------------------------------------------
% 43.61/42.81  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------