%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU056+1 : TPTP v8.1.2. Released v3.2.0.
% 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 12:02:09 EDT 2023

% Result   : Theorem 44.98s 43.86s
% Output   : Proof 44.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SEU056+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 13:30:43 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 44.98/43.86  
% 44.98/43.86  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 44.98/43.86  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.98/43.86  %-----------------------------------------------------
% 44.98/43.86  ncf(matrix, plain, [(388 ^ _77083) ^ [] : [-(relation(386 ^ []))], (392 ^ _77083) ^ [] : [-(disjoint(384 ^ [], 385 ^ []))], (396 ^ _77083) ^ [] : [disjoint(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ []))], (394 ^ _77083) ^ [] : [-(one_to_one(386 ^ []))], (390 ^ _77083) ^ [] : [-(function(386 ^ []))], !, (221 ^ _64384) ^ [_71456] : [empty(powerset(_71456))], (126 ^ _64384) ^ [_68413, _68415, _68417, _68419] : [-(set_intersection2(_68419, _68415) = set_intersection2(_68417, _68413)), _68419 = _68417, _68415 = _68413], (283 ^ _64384) ^ [] : [-(relation_empty_yielding(279 ^ []))], (307 ^ _64384) ^ [_74281] : [relation(_74281), -(relation_image(_74281, empty_set) = empty_set)], (321 ^ _64384) ^ [_74780, _74782] : [element(_74782, _74780), -(empty(_74780)), -(in(_74782, _74780))], (363 ^ _64384) ^ [_76126] : [empty(_76126), -(_76126 = empty_set)], (82 ^ _64384) ^ [_67054, _67056] : [-(relation(_67054)), _67056 = _67054, relation(_67056)], (223 ^ _64384) ^ [] : [-(empty(empty_set))], (263 ^ _64384) ^ [] : [-(relation(259 ^ []))], (196 ^ _64384) ^ [_70684, _70686] : [set_intersection2(_70686, _70684) = empty_set, -(disjoint(_70686, _70684))], (251 ^ _64384) ^ [] : [-(empty(249 ^ []))], (190 ^ _64384) ^ [_70516, _70518] : [disjoint(_70518, _70516), -(set_intersection2(_70518, _70516) = empty_set)], (271 ^ _64384) ^ [] : [empty(269 ^ [])], (268 ^ _64384) ^ [_72988] : [-(empty(264 ^ [_72988]))], (136 ^ _64384) ^ [_68744, _68746] : [_68746 = _68744, -(powerset(_68746) = powerset(_68744))], (20 ^ _64384) ^ [_65132, _65134] : [-(relation_empty_yielding(_65132)), _65134 = _65132, relation_empty_yielding(_65134)], (287 ^ _64384) ^ [_73643, _73645] : [disjoint(_73645, _73643), -(disjoint(_73643, _73645))], (112 ^ _64384) ^ [_67947, _67949, _67951, _67953] : [-(disjoint(_67951, _67947)), disjoint(_67953, _67949), _67953 = _67951, _67949 = _67947], (164 ^ _64384) ^ [_69694] : [empty(_69694), -(relation(_69694))], (2 ^ _64384) ^ [_64508] : [-(_64508 = _64508)], (102 ^ _64384) ^ [_67644, _67646] : [-(one_to_one(_67644)), _67646 = _67644, one_to_one(_67646)], (4 ^ _64384) ^ [_64615, _64617] : [_64617 = _64615, -(_64615 = _64617)], (203 ^ _64384) ^ [_70912] : [-(element(201 ^ [_70912], _70912))], (276 ^ _64384) ^ [] : [-(function(272 ^ []))], (44 ^ _64384) ^ [_65899, _65901, _65903, _65905] : [-(element(_65903, _65899)), element(_65905, _65901), _65905 = _65903, _65901 = _65899], (261 ^ _64384) ^ [] : [empty(259 ^ [])], (209 ^ _64384) ^ [] : [-(relation_empty_yielding(empty_set))], (369 ^ _64384) ^ [_76328, _76330] : [in(_76330, _76328), empty(_76328)], (234 ^ _64384) ^ [] : [-(function(230 ^ []))], (274 ^ _64384) ^ [] : [-(relation(272 ^ []))], (353 ^ _64384) ^ [_75830, _75832, _75834] : [in(_75834, _75832), element(_75832, powerset(_75830)), empty(_75830)], (227 ^ _64384) ^ [] : [-(relation(empty_set))], (281 ^ _64384) ^ [] : [-(relation(279 ^ []))], (331 ^ _64384) ^ [_75107, _75109] : [element(_75109, powerset(_75107)), -(subset(_75109, _75107))], (239 ^ _64384) ^ [] : [-(relation(235 ^ []))], (207 ^ _64384) ^ [] : [-(relation(empty_set))], (256 ^ _64384) ^ [] : [-(empty(252 ^ []))], (92 ^ _64384) ^ [_67349, _67351] : [-(function(_67349)), _67351 = _67349, function(_67351)], (158 ^ _64384) ^ [_69508] : [empty(_69508), -(function(_69508))], (343 ^ _64384) ^ [_75503, _75505, _75507] : [-(element(_75507, _75503)), in(_75507, _75505), element(_75505, powerset(_75503))], (152 ^ _64384) ^ [_69311, _69313] : [in(_69313, _69311), in(_69311, _69313)], (319 ^ _64384) ^ [_74670] : [-(set_intersection2(_74670, empty_set) = empty_set)], (293 ^ _64384) ^ [_73867, _73869, _73871] : [relation(_73867), function(_73867), one_to_one(_73867), -(relation_image(_73867, set_intersection2(_73871, _73869)) = set_intersection2(relation_image(_73867, _73871), relation_image(_73867, _73869)))], (142 ^ _64384) ^ [_68970, _68972, _68974, _68976] : [-(relation_image(_68976, _68972) = relation_image(_68974, _68970)), _68976 = _68974, _68972 = _68970], (10 ^ _64384) ^ [_64819, _64821, _64823] : [-(_64823 = _64819), _64823 = _64821, _64821 = _64819], (285 ^ _64384) ^ [_73534, _73536] : [-(subset(_73536, _73536))], (211 ^ _64384) ^ [_71187, _71189] : [-(relation(set_intersection2(_71189, _71187))), relation(_71189), relation(_71187)], (278 ^ _64384) ^ [] : [-(one_to_one(272 ^ []))], (258 ^ _64384) ^ [] : [-(function(252 ^ []))], (225 ^ _64384) ^ [] : [-(empty(empty_set))], (375 ^ _64384) ^ [_76515, _76517] : [empty(_76517), -(_76517 = _76515), empty(_76515)], (313 ^ _64384) ^ [_74489, _74491] : [in(_74491, _74489), -(element(_74491, _74489))], (30 ^ _64384) ^ [_65455, _65457, _65459, _65461] : [-(subset(_65459, _65455)), subset(_65461, _65457), _65461 = _65459, _65457 = _65455], (188 ^ _64384) ^ [_70372, _70374] : [-(set_intersection2(_70374, _70372) = set_intersection2(_70372, _70374))], (241 ^ _64384) ^ [_72106] : [-(empty(_72106)), 245 ^ _64384 : [(248 ^ _64384) ^ [] : [empty(244 ^ [_72106])], (246 ^ _64384) ^ [] : [-(element(244 ^ [_72106], powerset(_72106)))]]], (254 ^ _64384) ^ [] : [-(relation(252 ^ []))], (58 ^ _64384) ^ [_66343, _66345, _66347, _66349] : [-(in(_66347, _66343)), in(_66349, _66345), _66349 = _66347, _66345 = _66343], (170 ^ _64384) ^ [_69880] : [181 ^ _64384 : [(186 ^ _64384) ^ [] : [-(one_to_one(_69880))], (184 ^ _64384) ^ [] : [-(function(_69880))], (182 ^ _64384) ^ [] : [-(relation(_69880))]], relation(_69880), empty(_69880), function(_69880)], (337 ^ _64384) ^ [_75273, _75275] : [subset(_75275, _75273), -(element(_75275, powerset(_75273)))], (237 ^ _64384) ^ [] : [-(empty(235 ^ []))], (232 ^ _64384) ^ [] : [-(relation(230 ^ []))], (229 ^ _64384) ^ [_71710, _71712] : [-(set_intersection2(_71712, _71712) = _71712)], (72 ^ _64384) ^ [_66759, _66761] : [-(empty(_66759)), _66761 = _66759, empty(_66761)], (205 ^ _64384) ^ [] : [-(empty(empty_set))], (266 ^ _64384) ^ [_72937] : [-(element(264 ^ [_72937], powerset(_72937)))]], input).
% 44.98/43.86  ncf('1',plain,[-(disjoint(384 ^ [], 385 ^ []))],start(392 ^ 0)).
% 44.98/43.86  ncf('1.1',plain,[disjoint(384 ^ [], 385 ^ []), -(set_intersection2(384 ^ [], 385 ^ []) = empty_set)],extension(190 ^ 1,bind([[_70516, _70518], [385 ^ [], 384 ^ []]]))).
% 44.98/43.86  ncf('1.1.1',plain,[set_intersection2(384 ^ [], 385 ^ []) = empty_set, -(relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ [])) = relation_image(386 ^ [], empty_set)), 386 ^ [] = 386 ^ []],extension(142 ^ 2,bind([[_68970, _68972, _68974, _68976], [empty_set, set_intersection2(384 ^ [], 385 ^ []), 386 ^ [], 386 ^ []]]))).
% 44.98/43.86  ncf('1.1.1.1',plain,[relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ [])) = relation_image(386 ^ [], empty_set), -(set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])) = relation_image(386 ^ [], empty_set)), set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])) = relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ []))],extension(10 ^ 3,bind([[_64819, _64821, _64823], [relation_image(386 ^ [], empty_set), relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ [])), set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ []))]]))).
% 44.98/43.86  ncf('1.1.1.1.1',plain,[set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])) = relation_image(386 ^ [], empty_set), -(set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])) = empty_set), relation_image(386 ^ [], empty_set) = empty_set],extension(10 ^ 4,bind([[_64819, _64821, _64823], [empty_set, relation_image(386 ^ [], empty_set), set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ []))]]))).
% 44.98/43.86  ncf('1.1.1.1.1.1',plain,[set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])) = empty_set, -(disjoint(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])))],extension(196 ^ 5,bind([[_70684, _70686], [relation_image(386 ^ [], 385 ^ []), relation_image(386 ^ [], 384 ^ [])]]))).
% 44.98/43.86  ncf('1.1.1.1.1.1.1',plain,[disjoint(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ []))],extension(396 ^ 6)).
% 44.98/43.86  ncf('1.1.1.1.1.2',plain,[-(relation_image(386 ^ [], empty_set) = empty_set), relation(386 ^ [])],extension(307 ^ 5,bind([[_74281], [386 ^ []]]))).
% 44.98/43.86  ncf('1.1.1.1.1.2.1',plain,[-(relation(386 ^ []))],extension(388 ^ 6)).
% 44.98/43.86  ncf('1.1.1.1.2',plain,[-(set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])) = relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ []))), relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ [])) = set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ []))],extension(4 ^ 4,bind([[_64615, _64617], [set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ [])), relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ []))]]))).
% 44.98/43.86  ncf('1.1.1.1.2.1',plain,[-(relation_image(386 ^ [], set_intersection2(384 ^ [], 385 ^ [])) = set_intersection2(relation_image(386 ^ [], 384 ^ []), relation_image(386 ^ [], 385 ^ []))), relation(386 ^ []), function(386 ^ []), one_to_one(386 ^ [])],extension(293 ^ 5,bind([[_73867, _73869, _73871], [386 ^ [], 385 ^ [], 384 ^ []]]))).
% 44.98/43.86  ncf('1.1.1.1.2.1.1',plain,[-(relation(386 ^ []))],extension(388 ^ 6)).
% 44.98/43.86  ncf('1.1.1.1.2.1.2',plain,[-(function(386 ^ []))],extension(390 ^ 6)).
% 44.98/43.86  ncf('1.1.1.1.2.1.3',plain,[-(one_to_one(386 ^ []))],extension(394 ^ 6)).
% 44.98/43.86  ncf('1.1.1.2',plain,[-(386 ^ [] = 386 ^ [])],extension(2 ^ 3,bind([[_64508], [386 ^ []]]))).
% 44.98/43.86  %-----------------------------------------------------
% 44.98/43.86  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------