TSTP Solution File: SEU002+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU002+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 12:02:04 EDT 2023

% Result   : Theorem 46.36s 45.89s
% Output   : Proof 46.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU002+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu May 18 12:26:17 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 46.36/45.89  
% 46.36/45.89  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 46.36/45.89  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.36/45.89  %-----------------------------------------------------
% 46.36/45.89  ncf(matrix, plain, [(490 ^ _93734) ^ [] : [-(function(486 ^ []))], (488 ^ _93734) ^ [] : [-(relation(486 ^ []))], (499 ^ _93734) ^ [] : [in(485 ^ [], relation_rng(486 ^ []))], (495 ^ _93734) ^ [] : [-(function(491 ^ []))], (497 ^ _93734) ^ [] : [-(in(485 ^ [], relation_rng(relation_composition(491 ^ [], 486 ^ []))))], (493 ^ _93734) ^ [] : [-(relation(491 ^ []))], !, (211 ^ _77687) ^ [_84924, _84926] : [-(relation(relation_composition(_84926, _84924))), relation(_84926), relation(_84924)], (118 ^ _77687) ^ [_81522, _81524] : [_81524 = _81522, -(powerset(_81524) = powerset(_81522))], (140 ^ _77687) ^ [_82315, _82317] : [in(_82317, _82315), in(_82315, _82317)], (298 ^ _77687) ^ [_87482] : [empty(_87482), 301 ^ _77687 : [(304 ^ _77687) ^ [] : [-(relation(relation_rng(_87482)))], (302 ^ _77687) ^ [] : [-(empty(relation_rng(_87482)))]]], (4 ^ _77687) ^ [_77918, _77920] : [_77920 = _77918, -(_77918 = _77920)], (328 ^ _77687) ^ [_88423] : [-(empty(_88423)), 332 ^ _77687 : [(335 ^ _77687) ^ [] : [empty(331 ^ [_88423])], (333 ^ _77687) ^ [] : [-(element(331 ^ [_88423], powerset(_88423)))]]], (264 ^ _77687) ^ [] : [-(empty(empty_set))], (400 ^ _77687) ^ [_90780, _90782] : [relation(_90780), function(_90780), 407 ^ _77687 : [(408 ^ _77687) ^ [_91029] : [relation(_91029), function(_91029), in(_90782, relation_dom(relation_composition(_91029, _90780))), -(apply(relation_composition(_91029, _90780), _90782) = apply(_90780, apply(_91029, _90782)))]]], (266 ^ _77687) ^ [] : [-(empty(empty_set))], (343 ^ _77687) ^ [] : [-(relation(339 ^ []))], (351 ^ _77687) ^ [] : [empty(349 ^ [])], (242 ^ _77687) ^ [_85886, _85888] : [257 ^ _77687 : [(260 ^ _77687) ^ [] : [-(function(relation_composition(_85888, _85886)))], (258 ^ _77687) ^ [] : [-(relation(relation_composition(_85888, _85886)))]], relation(_85888), function(_85888), relation(_85886), function(_85886)], (422 ^ _77687) ^ [_91474, _91476] : [element(_91476, _91474), -(empty(_91474)), -(in(_91476, _91474))], (360 ^ _77687) ^ [_89542, _89544] : [in(_89544, _89542), -(element(_89544, _89542))], (262 ^ _77687) ^ [_86408] : [empty(powerset(_86408))], (224 ^ _77687) ^ [_85345, _85347] : [231 ^ _77687 : [(234 ^ _77687) ^ [] : [-(relation(relation_composition(_85345, _85347)))], (232 ^ _77687) ^ [] : [-(empty(relation_composition(_85345, _85347)))]], empty(_85347), relation(_85345)], (158 ^ _77687) ^ [_82884] : [relation(_82884), function(_82884), 165 ^ _77687 : [(166 ^ _77687) ^ [_83156] : [_83156 = relation_rng(_82884), 169 ^ _77687 : [(179 ^ _77687) ^ [_83686] : [-(in(_83686, _83156)), 180 ^ _77687 : [(181 ^ _77687) ^ [_83789] : [in(_83789, relation_dom(_82884)), _83686 = apply(_82884, _83789)]]], (170 ^ _77687) ^ [_83344] : [in(_83344, _83156), 174 ^ _77687 : [(177 ^ _77687) ^ [] : [-(_83344 = apply(_82884, 173 ^ [_82884, _83156, _83344]))], (175 ^ _77687) ^ [] : [-(in(173 ^ [_82884, _83156, _83344], relation_dom(_82884)))]]]]], (189 ^ _77687) ^ [_84038] : [-(_84038 = relation_rng(_82884)), 202 ^ _77687 : [(207 ^ _77687) ^ [] : [in(190 ^ [_82884, _84038], _84038)], (205 ^ _77687) ^ [] : [-(190 ^ [_82884, _84038] = apply(_82884, 201 ^ [_82884, _84038]))], (203 ^ _77687) ^ [] : [-(in(201 ^ [_82884, _84038], relation_dom(_82884)))]], 193 ^ _77687 : [(196 ^ _77687) ^ [_84333] : [in(_84333, relation_dom(_82884)), 190 ^ [_82884, _84038] = apply(_82884, _84333)], (194 ^ _77687) ^ [] : [-(in(190 ^ [_82884, _84038], _84038))]]]]], (341 ^ _77687) ^ [] : [empty(339 ^ [])], (222 ^ _77687) ^ [_85233] : [-(element(220 ^ [_85233], _85233))], (78 ^ _77687) ^ [_80208, _80210] : [-(function(_80208)), _80210 = _80208, function(_80210)], (146 ^ _77687) ^ [_82512] : [empty(_82512), -(function(_82512))], (321 ^ _77687) ^ [] : [-(function(317 ^ []))], (20 ^ _77687) ^ [_78435, _78437] : [-(relation_empty_yielding(_78435)), _78437 = _78435, relation_empty_yielding(_78437)], (354 ^ _77687) ^ [] : [-(relation(352 ^ []))], (10 ^ _77687) ^ [_78122, _78124, _78126] : [-(_78126 = _78122), _78126 = _78124, _78124 = _78122], (124 ^ _77687) ^ [_81768, _81770, _81772, _81774] : [-(relation_composition(_81774, _81770) = relation_composition(_81772, _81768)), _81774 = _81772, _81770 = _81768], (324 ^ _77687) ^ [] : [-(empty(322 ^ []))], (356 ^ _77687) ^ [] : [-(relation_empty_yielding(352 ^ []))], (348 ^ _77687) ^ [_89096] : [-(empty(344 ^ [_89096]))], (134 ^ _77687) ^ [_82079, _82081] : [_82081 = _82079, -(relation_rng(_82081) = relation_rng(_82079))], (476 ^ _77687) ^ [_93209, _93211] : [empty(_93211), -(_93211 = _93209), empty(_93209)], (454 ^ _77687) ^ [_92524, _92526, _92528] : [in(_92528, _92526), element(_92526, powerset(_92524)), empty(_92524)], (238 ^ _77687) ^ [] : [-(relation(empty_set))], (338 ^ _77687) ^ [] : [-(empty(336 ^ []))], (290 ^ _77687) ^ [_87217] : [empty(_87217), 293 ^ _77687 : [(296 ^ _77687) ^ [] : [-(relation(relation_dom(_87217)))], (294 ^ _77687) ^ [] : [-(empty(relation_dom(_87217)))]]], (68 ^ _77687) ^ [_79913, _79915] : [-(relation(_79913)), _79915 = _79913, relation(_79915)], (44 ^ _77687) ^ [_79202, _79204, _79206, _79208] : [-(element(_79206, _79202)), element(_79208, _79204), _79208 = _79206, _79204 = _79202], (268 ^ _77687) ^ [] : [-(relation(empty_set))], (306 ^ _77687) ^ [_87761, _87763] : [313 ^ _77687 : [(316 ^ _77687) ^ [] : [-(relation(relation_composition(_87763, _87761)))], (314 ^ _77687) ^ [] : [-(empty(relation_composition(_87763, _87761)))]], empty(_87763), relation(_87761)], (366 ^ _77687) ^ [_89752, _89754] : [relation(_89752), function(_89752), 373 ^ _77687 : [(374 ^ _77687) ^ [_90002] : [relation(_90002), function(_90002), 381 ^ _77687 : [(390 ^ _77687) ^ [] : [-(in(_89754, relation_dom(relation_composition(_90002, _89752)))), in(_89754, relation_dom(_90002)), in(apply(_90002, _89754), relation_dom(_89752))], (382 ^ _77687) ^ [] : [in(_89754, relation_dom(relation_composition(_90002, _89752))), 385 ^ _77687 : [(388 ^ _77687) ^ [] : [-(in(apply(_90002, _89754), relation_dom(_89752)))], (386 ^ _77687) ^ [] : [-(in(_89754, relation_dom(_90002)))]]]]]]], (432 ^ _77687) ^ [_91801, _91803] : [element(_91803, powerset(_91801)), -(subset(_91803, _91801))], (444 ^ _77687) ^ [_92197, _92199, _92201] : [-(element(_92201, _92197)), in(_92201, _92199), element(_92199, powerset(_92197))], (240 ^ _77687) ^ [] : [-(relation_empty_yielding(empty_set))], (358 ^ _77687) ^ [_89433, _89435] : [-(subset(_89435, _89435))], (236 ^ _77687) ^ [] : [-(empty(empty_set))], (88 ^ _77687) ^ [_80511, _80513, _80515, _80517] : [-(in(_80515, _80511)), in(_80517, _80513), _80517 = _80515, _80513 = _80511], (280 ^ _77687) ^ [_86940] : [empty(relation_rng(_86940)), -(empty(_86940)), relation(_86940)], (270 ^ _77687) ^ [_86663] : [empty(relation_dom(_86663)), -(empty(_86663)), relation(_86663)], (346 ^ _77687) ^ [_89045] : [-(element(344 ^ [_89045], powerset(_89045)))], (30 ^ _77687) ^ [_78758, _78760, _78762, _78764] : [-(subset(_78762, _78758)), subset(_78764, _78760), _78764 = _78762, _78760 = _78758], (464 ^ _77687) ^ [_92820] : [empty(_92820), -(_92820 = empty_set)], (319 ^ _77687) ^ [] : [-(relation(317 ^ []))], (102 ^ _77687) ^ [_80945, _80947] : [_80947 = _80945, -(relation_dom(_80947) = relation_dom(_80945))], (326 ^ _77687) ^ [] : [-(relation(322 ^ []))], (58 ^ _77687) ^ [_79618, _79620] : [-(empty(_79618)), _79620 = _79618, empty(_79620)], (470 ^ _77687) ^ [_93022, _93024] : [in(_93024, _93022), empty(_93022)], (438 ^ _77687) ^ [_91967, _91969] : [subset(_91969, _91967), -(element(_91969, powerset(_91967)))], (152 ^ _77687) ^ [_82698] : [empty(_82698), -(relation(_82698))], (108 ^ _77687) ^ [_81191, _81193, _81195, _81197] : [-(apply(_81197, _81193) = apply(_81195, _81191)), _81197 = _81195, _81193 = _81191], (2 ^ _77687) ^ [_77811] : [-(_77811 = _77811)]], input).
% 46.36/45.89  ncf('1',plain,[-(function(491 ^ []))],start(495 ^ 0)).
% 46.36/45.89  ncf('1.1',plain,[function(491 ^ []), 408 : relation(491 ^ []), 408 : in(173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []], relation_dom(relation_composition(491 ^ [], 486 ^ []))), 408 : -(apply(relation_composition(491 ^ [], 486 ^ []), 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]) = apply(486 ^ [], apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]))), 408 : relation(486 ^ []), 408 : function(486 ^ [])],extension(400 ^ 1,bind([[_90780, _90782, _91029], [486 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []], 491 ^ []]]))).
% 46.36/45.89  ncf('1.1.1',plain,[-(relation(491 ^ []))],extension(493 ^ 4)).
% 46.36/45.89  ncf('1.1.2',plain,[-(in(173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []], relation_dom(relation_composition(491 ^ [], 486 ^ [])))), 170 : in(485 ^ [], relation_rng(relation_composition(491 ^ [], 486 ^ []))), 170 : relation_rng(relation_composition(491 ^ [], 486 ^ [])) = relation_rng(relation_composition(491 ^ [], 486 ^ [])), 166 : relation(relation_composition(491 ^ [], 486 ^ [])), 166 : function(relation_composition(491 ^ [], 486 ^ []))],extension(158 ^ 4,bind([[_82884, _83156, _83344], [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]]))).
% 46.36/45.89  ncf('1.1.2.1',plain,[-(in(485 ^ [], relation_rng(relation_composition(491 ^ [], 486 ^ []))))],extension(497 ^ 9)).
% 46.36/45.89  ncf('1.1.2.2',plain,[-(relation_rng(relation_composition(491 ^ [], 486 ^ [])) = relation_rng(relation_composition(491 ^ [], 486 ^ []))), relation_rng(relation_composition(491 ^ [], 486 ^ [])) = relation_rng(relation_composition(491 ^ [], 486 ^ []))],extension(4 ^ 7,bind([[_77918, _77920], [relation_rng(relation_composition(491 ^ [], 486 ^ [])), relation_rng(relation_composition(491 ^ [], 486 ^ []))]]))).
% 46.36/45.89  ncf('1.1.2.2.1',plain,[-(relation_rng(relation_composition(491 ^ [], 486 ^ [])) = relation_rng(relation_composition(491 ^ [], 486 ^ [])))],extension(2 ^ 8,bind([[_77811], [relation_rng(relation_composition(491 ^ [], 486 ^ []))]]))).
% 46.36/45.89  ncf('1.1.2.3',plain,[-(relation(relation_composition(491 ^ [], 486 ^ []))), relation(491 ^ []), relation(486 ^ [])],extension(211 ^ 5,bind([[_84924, _84926], [486 ^ [], 491 ^ []]]))).
% 46.36/45.89  ncf('1.1.2.3.1',plain,[-(relation(491 ^ []))],lemmata('[1].x')).
% 46.36/45.89  ncf('1.1.2.3.2',plain,[-(relation(486 ^ []))],extension(488 ^ 6)).
% 46.36/45.89  ncf('1.1.2.4',plain,[-(function(relation_composition(491 ^ [], 486 ^ []))), relation(491 ^ []), function(491 ^ []), relation(486 ^ []), function(486 ^ [])],extension(242 ^ 5,bind([[_85886, _85888], [486 ^ [], 491 ^ []]]))).
% 46.36/45.89  ncf('1.1.2.4.1',plain,[-(relation(491 ^ []))],lemmata('[1].x')).
% 46.36/45.89  ncf('1.1.2.4.2',plain,[-(function(491 ^ []))],reduction('1')).
% 46.36/45.89  ncf('1.1.2.4.3',plain,[-(relation(486 ^ []))],extension(488 ^ 6)).
% 46.36/45.89  ncf('1.1.2.4.4',plain,[-(function(486 ^ []))],extension(490 ^ 6)).
% 46.36/45.89  ncf('1.1.3',plain,[apply(relation_composition(491 ^ [], 486 ^ []), 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]) = apply(486 ^ [], apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []])), -(485 ^ [] = apply(486 ^ [], apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]))), 485 ^ [] = apply(relation_composition(491 ^ [], 486 ^ []), 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []])],extension(10 ^ 4,bind([[_78122, _78124, _78126], [apply(486 ^ [], apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []])), apply(relation_composition(491 ^ [], 486 ^ []), 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]), 485 ^ []]]))).
% 46.36/45.89  ncf('1.1.3.1',plain,[485 ^ [] = apply(486 ^ [], apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []])), 181 : in(apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]), relation_dom(486 ^ [])), 181 : -(in(485 ^ [], relation_rng(486 ^ []))), 179 : relation_rng(486 ^ []) = relation_rng(486 ^ []), 166 : relation(486 ^ []), 166 : function(486 ^ [])],extension(158 ^ 5,bind([[_82884, _83156, _83686, _83789], [486 ^ [], relation_rng(486 ^ []), 485 ^ [], apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []])]]))).
% 46.36/45.89  ncf('1.1.3.1.1',plain,[-(in(apply(491 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]), relation_dom(486 ^ []))), 382 : in(173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []], relation_dom(relation_composition(491 ^ [], 486 ^ []))), 382 : relation(491 ^ []), 382 : function(491 ^ []), 374 : relation(486 ^ []), 374 : function(486 ^ [])],extension(366 ^ 12,bind([[_89752, _89754, _90002], [486 ^ [], 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []], 491 ^ []]]))).
% 46.36/45.89  ncf('1.1.3.1.1.1',plain,[-(in(173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []], relation_dom(relation_composition(491 ^ [], 486 ^ []))))],lemmata('[1].x')).
% 46.36/45.89  ncf('1.1.3.1.1.2',plain,[-(relation(491 ^ []))],lemmata('[1].x')).
% 46.36/45.89  ncf('1.1.3.1.1.3',plain,[-(function(491 ^ []))],reduction('1')).
% 46.36/45.89  ncf('1.1.3.1.1.4',plain,[-(relation(486 ^ []))],extension(488 ^ 13)).
% 46.36/45.89  ncf('1.1.3.1.1.5',plain,[-(function(486 ^ []))],extension(490 ^ 13)).
% 46.36/45.89  ncf('1.1.3.1.2',plain,[in(485 ^ [], relation_rng(486 ^ []))],extension(499 ^ 10)).
% 46.36/45.89  ncf('1.1.3.1.3',plain,[-(relation_rng(486 ^ []) = relation_rng(486 ^ []))],extension(2 ^ 8,bind([[_77811], [relation_rng(486 ^ [])]]))).
% 46.36/45.89  ncf('1.1.3.1.4',plain,[-(relation(486 ^ []))],extension(488 ^ 6)).
% 46.36/45.89  ncf('1.1.3.1.5',plain,[-(function(486 ^ []))],extension(490 ^ 6)).
% 46.36/45.89  ncf('1.1.3.2',plain,[-(485 ^ [] = apply(relation_composition(491 ^ [], 486 ^ []), 173 ^ [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []])), 170 : in(485 ^ [], relation_rng(relation_composition(491 ^ [], 486 ^ []))), 170 : relation_rng(relation_composition(491 ^ [], 486 ^ [])) = relation_rng(relation_composition(491 ^ [], 486 ^ [])), 166 : relation(relation_composition(491 ^ [], 486 ^ [])), 166 : function(relation_composition(491 ^ [], 486 ^ []))],extension(158 ^ 5,bind([[_82884, _83156, _83344], [relation_composition(491 ^ [], 486 ^ []), relation_rng(relation_composition(491 ^ [], 486 ^ [])), 485 ^ []]]))).
% 46.36/45.89  ncf('1.1.3.2.1',plain,[-(in(485 ^ [], relation_rng(relation_composition(491 ^ [], 486 ^ []))))],extension(497 ^ 10)).
% 46.36/45.89  ncf('1.1.3.2.2',plain,[-(relation_rng(relation_composition(491 ^ [], 486 ^ [])) = relation_rng(relation_composition(491 ^ [], 486 ^ [])))],extension(2 ^ 8,bind([[_77811], [relation_rng(relation_composition(491 ^ [], 486 ^ []))]]))).
% 46.36/45.89  ncf('1.1.3.2.3',plain,[-(relation(relation_composition(491 ^ [], 486 ^ []))), relation(491 ^ []), relation(486 ^ [])],extension(211 ^ 6,bind([[_84924, _84926], [486 ^ [], 491 ^ []]]))).
% 46.36/45.89  ncf('1.1.3.2.3.1',plain,[-(relation(491 ^ []))],lemmata('[1].x')).
% 46.36/45.89  ncf('1.1.3.2.3.2',plain,[-(relation(486 ^ []))],extension(488 ^ 7)).
% 46.36/45.89  ncf('1.1.3.2.4',plain,[-(function(relation_composition(491 ^ [], 486 ^ []))), relation(491 ^ []), function(491 ^ []), relation(486 ^ []), function(486 ^ [])],extension(242 ^ 6,bind([[_85886, _85888], [486 ^ [], 491 ^ []]]))).
% 46.36/45.89  ncf('1.1.3.2.4.1',plain,[-(relation(491 ^ []))],lemmata('[1].x')).
% 46.36/45.89  ncf('1.1.3.2.4.2',plain,[-(function(491 ^ []))],reduction('1')).
% 46.36/45.89  ncf('1.1.3.2.4.3',plain,[-(relation(486 ^ []))],extension(488 ^ 7)).
% 46.36/45.89  ncf('1.1.3.2.4.4',plain,[-(function(486 ^ []))],extension(490 ^ 7)).
% 46.36/45.89  ncf('1.1.4',plain,[-(relation(486 ^ []))],extension(488 ^ 2)).
% 46.36/45.89  ncf('1.1.5',plain,[-(function(486 ^ []))],extension(490 ^ 2)).
% 46.36/45.89  %-----------------------------------------------------
% 46.36/45.89  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------