%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:02:50 EDT 2023

% Result   : Theorem 0.38s 1.37s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU243+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n019.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 13:17:42 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.38/1.37  
% 0.38/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  ncf(matrix, plain, [(467 ^ _69983) ^ [] : [-(relation(465 ^ []))], (469 ^ _69983) ^ [] : [470 ^ _69983 : [(471 ^ _69983) ^ [] : [-(well_founded_relation(465 ^ []))], (473 ^ _69983) ^ [] : [is_well_founded_in(465 ^ [], relation_field(465 ^ []))]], 474 ^ _69983 : [(475 ^ _69983) ^ [] : [-(is_well_founded_in(465 ^ [], relation_field(465 ^ [])))], (477 ^ _69983) ^ [] : [well_founded_relation(465 ^ [])]]], (140 ^ _69983) ^ [_74478, _74480, _74482, _74484] : [-(fiber(_74484, _74480) = fiber(_74482, _74478)), _74484 = _74482, _74480 = _74478], (150 ^ _69983) ^ [_74809, _74811] : [_74811 = _74809, -(relation_dom(_74811) = relation_dom(_74809))], (156 ^ _69983) ^ [_75027, _75029] : [_75029 = _75027, -(relation_rng(_75029) = relation_rng(_75027))], (162 ^ _69983) ^ [_75273, _75275, _75277, _75279] : [-(set_union2(_75279, _75275) = set_union2(_75277, _75273)), _75279 = _75277, _75275 = _75273], (172 ^ _69983) ^ [_75604, _75606] : [_75606 = _75604, -(powerset(_75606) = powerset(_75604))], (178 ^ _69983) ^ [_75802, _75804] : [_75804 = _75802, -(relation_field(_75804) = relation_field(_75802))], (2 ^ _69983) ^ [_70127] : [-(_70127 = _70127)], (4 ^ _69983) ^ [_70234, _70236] : [_70236 = _70234, -(_70234 = _70236)], (10 ^ _69983) ^ [_70438, _70440, _70442] : [-(_70442 = _70438), _70442 = _70440, _70440 = _70438], (20 ^ _69983) ^ [_70751, _70753] : [-(function(_70751)), _70753 = _70751, function(_70753)], (30 ^ _69983) ^ [_71046, _71048] : [-(one_to_one(_71046)), _71048 = _71046, one_to_one(_71048)], (40 ^ _69983) ^ [_71369, _71371, _71373, _71375] : [-(disjoint(_71373, _71369)), disjoint(_71375, _71371), _71375 = _71373, _71371 = _71369], (54 ^ _69983) ^ [_71813, _71815, _71817, _71819] : [-(subset(_71817, _71813)), subset(_71819, _71815), _71819 = _71817, _71815 = _71813], (68 ^ _69983) ^ [_72257, _72259, _72261, _72263] : [-(element(_72261, _72257)), element(_72263, _72259), _72263 = _72261, _72259 = _72257], (82 ^ _69983) ^ [_72701, _72703, _72705, _72707] : [-(in(_72705, _72701)), in(_72707, _72703), _72707 = _72705, _72703 = _72701], (96 ^ _69983) ^ [_73117, _73119] : [-(empty(_73117)), _73119 = _73117, empty(_73119)], (106 ^ _69983) ^ [_73412, _73414] : [-(relation(_73412)), _73414 = _73412, relation(_73414)], (116 ^ _69983) ^ [_73707, _73709] : [-(well_founded_relation(_73707)), _73709 = _73707, well_founded_relation(_73709)], (126 ^ _69983) ^ [_74010, _74012, _74014, _74016] : [-(is_well_founded_in(_74014, _74010)), is_well_founded_in(_74016, _74012), _74016 = _74014, _74012 = _74010], (184 ^ _69983) ^ [_76042, _76044] : [in(_76044, _76042), in(_76042, _76044)], (190 ^ _69983) ^ [_76239] : [empty(_76239), -(function(_76239))], (196 ^ _69983) ^ [_76425] : [207 ^ _69983 : [(208 ^ _69983) ^ [] : [-(relation(_76425))], (210 ^ _69983) ^ [] : [-(function(_76425))], (212 ^ _69983) ^ [] : [-(one_to_one(_76425))]], relation(_76425), empty(_76425), function(_76425)], (214 ^ _69983) ^ [_76917, _76919] : [-(set_union2(_76919, _76917) = set_union2(_76917, _76919))], (216 ^ _69983) ^ [_77018] : [relation(_77018), 219 ^ _69983 : [(237 ^ _69983) ^ [] : [-(well_founded_relation(_77018)), 239 ^ _69983 : [(240 ^ _69983) ^ [] : [-(subset(238 ^ [_77018], relation_field(_77018)))], (242 ^ _69983) ^ [] : [238 ^ [_77018] = empty_set], (244 ^ _69983) ^ [_77968] : [in(_77968, 238 ^ [_77018]), disjoint(fiber(_77018, _77968), 238 ^ [_77018])]]], (220 ^ _69983) ^ [] : [well_founded_relation(_77018), 223 ^ _69983 : [(224 ^ _69983) ^ [_77285] : [subset(_77285, relation_field(_77018)), -(_77285 = empty_set), 232 ^ _69983 : [(233 ^ _69983) ^ [] : [-(in(231 ^ [_77018, _77285], _77285))], (235 ^ _69983) ^ [] : [-(disjoint(fiber(_77018, 231 ^ [_77018, _77285]), _77285))]]]]]]], (252 ^ _69983) ^ [_78250] : [relation(_78250), 255 ^ _69983 : [(273 ^ _69983) ^ [_79053] : [-(is_well_founded_in(_78250, _79053)), 275 ^ _69983 : [(276 ^ _69983) ^ [] : [-(subset(274 ^ [_78250, _79053], _79053))], (278 ^ _69983) ^ [] : [274 ^ [_78250, _79053] = empty_set], (280 ^ _69983) ^ [_79395] : [in(_79395, 274 ^ [_78250, _79053]), disjoint(fiber(_78250, _79395), 274 ^ [_78250, _79053])]]], (256 ^ _69983) ^ [_78447] : [is_well_founded_in(_78250, _78447), 259 ^ _69983 : [(260 ^ _69983) ^ [_78612] : [subset(_78612, _78447), -(_78612 = empty_set), 268 ^ _69983 : [(269 ^ _69983) ^ [] : [-(in(267 ^ [_78250, _78447, _78612], _78612))], (271 ^ _69983) ^ [] : [-(disjoint(fiber(_78250, 267 ^ [_78250, _78447, _78612]), _78612))]]]]]]], (288 ^ _69983) ^ [_79696] : [relation(_79696), -(relation_field(_79696) = set_union2(relation_dom(_79696), relation_rng(_79696)))], (294 ^ _69983) ^ [] : [true___, -(true___)], (300 ^ _69983) ^ [] : [true___, -(true___)], (306 ^ _69983) ^ [] : [true___, -(true___)], (312 ^ _69983) ^ [] : [true___, -(true___)], (318 ^ _69983) ^ [] : [true___, -(true___)], (324 ^ _69983) ^ [] : [true___, -(true___)], (330 ^ _69983) ^ [] : [true___, -(true___)], (336 ^ _69983) ^ [] : [true___, -(true___)], (343 ^ _69983) ^ [_80878] : [-(element(341 ^ [_80878], _80878))], (345 ^ _69983) ^ [] : [-(empty(empty_set))], (347 ^ _69983) ^ [_81043, _81045] : [-(empty(_81045)), empty(set_union2(_81045, _81043))], (353 ^ _69983) ^ [_81259, _81261] : [-(empty(_81261)), empty(set_union2(_81259, _81261))], (359 ^ _69983) ^ [_81460, _81462] : [-(set_union2(_81462, _81462) = _81462)], (362 ^ _69983) ^ [] : [-(relation(360 ^ []))], (364 ^ _69983) ^ [] : [-(function(360 ^ []))], (367 ^ _69983) ^ [] : [-(empty(365 ^ []))], (370 ^ _69983) ^ [] : [-(relation(368 ^ []))], (372 ^ _69983) ^ [] : [-(empty(368 ^ []))], (374 ^ _69983) ^ [] : [-(function(368 ^ []))], (377 ^ _69983) ^ [] : [empty(375 ^ [])], (380 ^ _69983) ^ [] : [-(relation(378 ^ []))], (382 ^ _69983) ^ [] : [-(function(378 ^ []))], (384 ^ _69983) ^ [] : [-(one_to_one(378 ^ []))], (386 ^ _69983) ^ [_82303, _82305] : [-(subset(_82305, _82305))], (388 ^ _69983) ^ [_82412, _82414] : [disjoint(_82414, _82412), -(disjoint(_82412, _82414))], (394 ^ _69983) ^ [_82593] : [-(set_union2(_82593, empty_set) = _82593)], (396 ^ _69983) ^ [_82703, _82705] : [in(_82705, _82703), -(element(_82705, _82703))], (402 ^ _69983) ^ [_82913, _82915] : [element(_82915, _82913), -(empty(_82913)), -(in(_82915, _82913))], (412 ^ _69983) ^ [_83240, _83242] : [element(_83242, powerset(_83240)), -(subset(_83242, _83240))], (418 ^ _69983) ^ [_83406, _83408] : [subset(_83408, _83406), -(element(_83408, powerset(_83406)))], (424 ^ _69983) ^ [_83636, _83638, _83640] : [-(element(_83640, _83636)), in(_83640, _83638), element(_83638, powerset(_83636))], (434 ^ _69983) ^ [_83963, _83965, _83967] : [in(_83967, _83965), element(_83965, powerset(_83963)), empty(_83963)], (444 ^ _69983) ^ [_84259] : [empty(_84259), -(_84259 = empty_set)], (450 ^ _69983) ^ [_84461, _84463] : [in(_84463, _84461), empty(_84461)], (456 ^ _69983) ^ [_84648, _84650] : [empty(_84650), -(_84650 = _84648), empty(_84648)]], input).
% 0.38/1.37  ncf('1',plain,[473 : is_well_founded_in(465 ^ [], relation_field(465 ^ [])), 477 : well_founded_relation(465 ^ [])],start(469 ^ 0)).
% 0.38/1.37  ncf('1.1',plain,[-(is_well_founded_in(465 ^ [], relation_field(465 ^ []))), 280 : in(231 ^ [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]], 274 ^ [465 ^ [], relation_field(465 ^ [])]), 280 : disjoint(fiber(465 ^ [], 231 ^ [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]]), 274 ^ [465 ^ [], relation_field(465 ^ [])]), 273 : relation(465 ^ [])],extension(252 ^ 3,bind([[_78250, _79053, _79395], [465 ^ [], relation_field(465 ^ []), 231 ^ [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]]]]))).
% 0.38/1.37  ncf('1.1.1',plain,[-(in(231 ^ [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]], 274 ^ [465 ^ [], relation_field(465 ^ [])])), 224 : subset(274 ^ [465 ^ [], relation_field(465 ^ [])], relation_field(465 ^ [])), 224 : -(274 ^ [465 ^ [], relation_field(465 ^ [])] = empty_set), 224 : well_founded_relation(465 ^ []), 220 : relation(465 ^ [])],extension(216 ^ 8,bind([[_77018, _77285], [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]]]))).
% 0.38/1.37  ncf('1.1.1.1',plain,[-(subset(274 ^ [465 ^ [], relation_field(465 ^ [])], relation_field(465 ^ [])))],extension(276 ^ 13)).
% 0.38/1.37  ncf('1.1.1.2',plain,[274 ^ [465 ^ [], relation_field(465 ^ [])] = empty_set],extension(278 ^ 13)).
% 0.38/1.37  ncf('1.1.1.3',plain,[-(well_founded_relation(465 ^ []))],extension(471 ^ 11)).
% 0.38/1.37  ncf('1.1.1.4',plain,[-(relation(465 ^ []))],extension(467 ^ 9)).
% 0.38/1.37  ncf('1.1.2',plain,[-(disjoint(fiber(465 ^ [], 231 ^ [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]]), 274 ^ [465 ^ [], relation_field(465 ^ [])])), 224 : subset(274 ^ [465 ^ [], relation_field(465 ^ [])], relation_field(465 ^ [])), 224 : -(274 ^ [465 ^ [], relation_field(465 ^ [])] = empty_set), 224 : well_founded_relation(465 ^ []), 220 : relation(465 ^ [])],extension(216 ^ 8,bind([[_77018, _77285], [465 ^ [], 274 ^ [465 ^ [], relation_field(465 ^ [])]]]))).
% 0.38/1.37  ncf('1.1.2.1',plain,[-(subset(274 ^ [465 ^ [], relation_field(465 ^ [])], relation_field(465 ^ [])))],extension(276 ^ 13)).
% 0.38/1.37  ncf('1.1.2.2',plain,[274 ^ [465 ^ [], relation_field(465 ^ [])] = empty_set],extension(278 ^ 13)).
% 0.38/1.37  ncf('1.1.2.3',plain,[-(well_founded_relation(465 ^ []))],extension(471 ^ 11)).
% 0.38/1.37  ncf('1.1.2.4',plain,[-(relation(465 ^ []))],extension(467 ^ 9)).
% 0.38/1.37  ncf('1.1.3',plain,[-(relation(465 ^ []))],extension(467 ^ 4)).
% 0.38/1.37  ncf('1.2',plain,[-(well_founded_relation(465 ^ [])), 244 : in(267 ^ [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]], 238 ^ [465 ^ []]), 244 : disjoint(fiber(465 ^ [], 267 ^ [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]]), 238 ^ [465 ^ []]), 237 : relation(465 ^ [])],extension(216 ^ 3,bind([[_77018, _77968], [465 ^ [], 267 ^ [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]]]]))).
% 0.38/1.37  ncf('1.2.1',plain,[-(in(267 ^ [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]], 238 ^ [465 ^ []])), 260 : subset(238 ^ [465 ^ []], relation_field(465 ^ [])), 260 : -(238 ^ [465 ^ []] = empty_set), 260 : is_well_founded_in(465 ^ [], relation_field(465 ^ [])), 256 : relation(465 ^ [])],extension(252 ^ 8,bind([[_78250, _78447, _78612], [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]]]))).
% 0.38/1.37  ncf('1.2.1.1',plain,[-(subset(238 ^ [465 ^ []], relation_field(465 ^ [])))],extension(240 ^ 13)).
% 0.38/1.37  ncf('1.2.1.2',plain,[238 ^ [465 ^ []] = empty_set],extension(242 ^ 13)).
% 0.38/1.37  ncf('1.2.1.3',plain,[-(is_well_founded_in(465 ^ [], relation_field(465 ^ [])))],extension(475 ^ 11)).
% 0.38/1.37  ncf('1.2.1.4',plain,[-(relation(465 ^ []))],extension(467 ^ 9)).
% 0.38/1.37  ncf('1.2.2',plain,[-(disjoint(fiber(465 ^ [], 267 ^ [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]]), 238 ^ [465 ^ []])), 260 : subset(238 ^ [465 ^ []], relation_field(465 ^ [])), 260 : -(238 ^ [465 ^ []] = empty_set), 260 : is_well_founded_in(465 ^ [], relation_field(465 ^ [])), 256 : relation(465 ^ [])],extension(252 ^ 8,bind([[_78250, _78447, _78612], [465 ^ [], relation_field(465 ^ []), 238 ^ [465 ^ []]]]))).
% 0.38/1.37  ncf('1.2.2.1',plain,[-(subset(238 ^ [465 ^ []], relation_field(465 ^ [])))],extension(240 ^ 13)).
% 0.38/1.37  ncf('1.2.2.2',plain,[238 ^ [465 ^ []] = empty_set],extension(242 ^ 13)).
% 0.38/1.37  ncf('1.2.2.3',plain,[-(is_well_founded_in(465 ^ [], relation_field(465 ^ [])))],extension(475 ^ 11)).
% 0.38/1.37  ncf('1.2.2.4',plain,[-(relation(465 ^ []))],extension(467 ^ 9)).
% 0.38/1.37  ncf('1.2.3',plain,[-(relation(465 ^ []))],extension(467 ^ 4)).
% 0.38/1.37  %-----------------------------------------------------
% 0.38/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------