%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU265+1 : TPTP v8.1.2. Released v3.3.0.
% 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 12:02:56 EDT 2023

% Result   : Theorem 47.59s 46.86s
% Output   : Proof 47.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU265+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % 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 13:27:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 47.59/46.86  
% 47.59/46.86  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 47.59/46.86  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.59/46.86  %-----------------------------------------------------
% 47.59/46.86  ncf(matrix, plain, [(452 ^ _98451) ^ [] : [462 ^ _98451 : [(468 ^ _98451) ^ [_99035] : [in(ordered_pair(464 ^ [], _99035), 448 ^ [])], (466 ^ _98451) ^ [] : [-(in(464 ^ [], 447 ^ []))], (463 ^ _98451) ^ [] : [-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = 447 ^ [])]], 453 ^ _98451 : [(454 ^ _98451) ^ [_98622] : [in(_98622, 447 ^ []), -(in(ordered_pair(_98622, 457 ^ [_98622]), 448 ^ []))], (461 ^ _98451) ^ [] : [relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = 447 ^ []]]], (450 ^ _98451) ^ [] : [-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))], !, (287 ^ _83310) ^ [] : [true___, -(true___)], (269 ^ _83310) ^ [] : [true___, -(true___)], (425 ^ _83310) ^ [_97452] : [empty(_97452), -(_97452 = empty_set)], (192 ^ _83310) ^ [_89896, _89898, _89900] : [element(_89896, powerset(cartesian_product2(_89900, _89898))), -(relation(_89896))], (350 ^ _83310) ^ [_94954, _94956] : [in(_94956, _94954), -(element(_94956, _94954))], (320 ^ _83310) ^ [] : [-(empty(empty_set))], (20 ^ _83310) ^ [_84114, _84116, _84118, _84120, _84122, _84124] : [-(relation_of2(_84122, _84118, _84114)), relation_of2(_84124, _84120, _84116), _84124 = _84122, _84120 = _84118, _84116 = _84114], (76 ^ _83310) ^ [_85850, _85852] : [-(empty(_85850)), _85852 = _85850, empty(_85852)], (172 ^ _83310) ^ [_89181, _89183, _89185, _89187, _89189, _89191] : [-(relation_dom_as_subset(_89191, _89187, _89183) = relation_dom_as_subset(_89189, _89185, _89181)), _89191 = _89189, _89187 = _89185, _89183 = _89181], (38 ^ _83310) ^ [_84667, _84669] : [-(relation(_84667)), _84669 = _84667, relation(_84669)], (299 ^ _83310) ^ [] : [true___, -(true___)], (318 ^ _83310) ^ [_93735, _93737] : [-(relation_of2_as_subset(316 ^ [_93735, _93737], _93737, _93735))], (325 ^ _83310) ^ [] : [-(empty(323 ^ []))], (86 ^ _83310) ^ [_86201, _86203, _86205, _86207, _86209, _86211] : [-(relation_of2_as_subset(_86209, _86205, _86201)), relation_of2_as_subset(_86211, _86207, _86203), _86211 = _86209, _86207 = _86205, _86203 = _86201], (257 ^ _83310) ^ [] : [true___, -(true___)], (393 ^ _83310) ^ [_96433, _96435] : [element(_96435, powerset(_96433)), -(subset(_96435, _96433))], (128 ^ _83310) ^ [_87555, _87557] : [_87557 = _87555, -(singleton(_87557) = singleton(_87555))], (328 ^ _83310) ^ [] : [empty(326 ^ [])], (104 ^ _83310) ^ [_86762, _86764, _86766, _86768] : [-(in(_86766, _86762)), in(_86768, _86764), _86768 = _86766, _86764 = _86762], (48 ^ _83310) ^ [_84990, _84992, _84994, _84996] : [-(subset(_84994, _84990)), subset(_84996, _84992), _84996 = _84994, _84992 = _84990], (156 ^ _83310) ^ [_88568, _88570] : [_88570 = _88568, -(powerset(_88570) = powerset(_88568))], (62 ^ _83310) ^ [_85434, _85436, _85438, _85440] : [-(element(_85438, _85434)), element(_85440, _85436), _85440 = _85438, _85436 = _85434], (118 ^ _83310) ^ [_87224, _87226, _87228, _87230] : [-(unordered_pair(_87230, _87226) = unordered_pair(_87228, _87224)), _87230 = _87228, _87226 = _87224], (4 ^ _83310) ^ [_83541, _83543] : [_83543 = _83541, -(_83541 = _83543)], (275 ^ _83310) ^ [] : [true___, -(true___)], (239 ^ _83310) ^ [] : [true___, -(true___)], (237 ^ _83310) ^ [_91646, _91648] : [-(ordered_pair(_91648, _91646) = unordered_pair(unordered_pair(_91648, _91646), singleton(_91648)))], (245 ^ _83310) ^ [] : [true___, -(true___)], (330 ^ _83310) ^ [_94193, _94195, _94197] : [relation_of2(_94193, _94197, _94195), -(relation_dom_as_subset(_94197, _94195, _94193) = relation_dom(_94193))], (198 ^ _83310) ^ [_90105, _90107] : [-(unordered_pair(_90107, _90105) = unordered_pair(_90105, _90107))], (2 ^ _83310) ^ [_83434] : [-(_83434 = _83434)], (399 ^ _83310) ^ [_96599, _96601] : [subset(_96601, _96599), -(element(_96601, powerset(_96599)))], (405 ^ _83310) ^ [_96829, _96831, _96833] : [-(element(_96833, _96829)), in(_96833, _96831), element(_96831, powerset(_96829))], (312 ^ _83310) ^ [_93469, _93471] : [-(relation_of2(310 ^ [_93469, _93471], _93471, _93469))], (305 ^ _83310) ^ [_93214, _93216, _93218] : [relation_of2_as_subset(_93214, _93218, _93216), -(element(_93214, powerset(cartesian_product2(_93218, _93216))))], (415 ^ _83310) ^ [_97156, _97158, _97160] : [in(_97160, _97158), element(_97158, powerset(_97156)), empty(_97156)], (315 ^ _83310) ^ [_93596] : [-(element(313 ^ [_93596], _93596))], (322 ^ _83310) ^ [_93889, _93891] : [empty(ordered_pair(_93891, _93889))], (263 ^ _83310) ^ [] : [true___, -(true___)], (368 ^ _83310) ^ [_95576, _95578] : [element(_95578, _95576), -(empty(_95576)), -(in(_95578, _95576))], (431 ^ _83310) ^ [_97654, _97656] : [in(_97656, _97654), empty(_97654)], (437 ^ _83310) ^ [_97841, _97843] : [empty(_97843), -(_97843 = _97841), empty(_97841)], (378 ^ _83310) ^ [_95874, _95876] : [-(_95876 = _95874), 382 ^ _83310 : [(385 ^ _83310) ^ [] : [in(379 ^ [_95874, _95876], _95874)], (383 ^ _83310) ^ [] : [-(in(379 ^ [_95874, _95876], _95876))]], 386 ^ _83310 : [(389 ^ _83310) ^ [] : [in(379 ^ [_95874, _95876], _95876)], (387 ^ _83310) ^ [] : [-(in(379 ^ [_95874, _95876], _95874))]]], (251 ^ _83310) ^ [] : [true___, -(true___)], (281 ^ _83310) ^ [_92613, _92615, _92617] : [relation_of2(_92613, _92617, _92615), -(element(relation_dom_as_subset(_92617, _92615, _92613), powerset(_92617)))], (144 ^ _83310) ^ [_88132, _88134] : [_88134 = _88132, -(relation_dom(_88134) = relation_dom(_88132))], (348 ^ _83310) ^ [_94845, _94847] : [-(subset(_94847, _94847))], (150 ^ _83310) ^ [_88350, _88352] : [_88352 = _88350, -(relation_rng(_88352) = relation_rng(_88350))], (162 ^ _83310) ^ [_88814, _88816, _88818, _88820] : [-(ordered_pair(_88820, _88816) = ordered_pair(_88818, _88814)), _88820 = _88818, _88816 = _88814], (356 ^ _83310) ^ [_95178, _95180, _95182] : [relation(_95178), in(ordered_pair(_95182, _95180), _95178), 363 ^ _83310 : [(366 ^ _83310) ^ [] : [-(in(_95180, relation_rng(_95178)))], (364 ^ _83310) ^ [] : [-(in(_95182, relation_dom(_95178)))]]], (10 ^ _83310) ^ [_83745, _83747, _83749] : [-(_83749 = _83745), _83749 = _83747, _83747 = _83745], (200 ^ _83310) ^ [_90206] : [relation(_90206), 203 ^ _83310 : [(204 ^ _83310) ^ [_90387] : [_90387 = relation_dom(_90206), 207 ^ _83310 : [(215 ^ _83310) ^ [_90811] : [216 ^ _83310 : [(217 ^ _83310) ^ [_90890] : [in(ordered_pair(_90811, _90890), _90206)]], -(in(_90811, _90387))], (208 ^ _83310) ^ [_90567] : [in(_90567, _90387), -(in(ordered_pair(_90567, 211 ^ [_90206, _90387, _90567]), _90206))]]], (221 ^ _83310) ^ [_91018] : [-(_91018 = relation_dom(_90206)), 225 ^ _83310 : [(228 ^ _83310) ^ [_91281] : [in(ordered_pair(222 ^ [_90206, _91018], _91281), _90206)], (226 ^ _83310) ^ [] : [-(in(222 ^ [_90206, _91018], _91018))]], 230 ^ _83310 : [(233 ^ _83310) ^ [] : [in(222 ^ [_90206, _91018], _91018)], (231 ^ _83310) ^ [] : [-(in(ordered_pair(222 ^ [_90206, _91018], 229 ^ [_90206, _91018]), _90206))]]]]], (293 ^ _83310) ^ [] : [true___, -(true___)], (342 ^ _83310) ^ [_94638, _94640, _94642] : [relation_of2(_94638, _94642, _94640), -(relation_of2_as_subset(_94638, _94642, _94640))], (134 ^ _83310) ^ [_87801, _87803, _87805, _87807] : [-(cartesian_product2(_87807, _87803) = cartesian_product2(_87805, _87801)), _87807 = _87805, _87803 = _87801], (336 ^ _83310) ^ [_94466, _94468, _94470] : [relation_of2_as_subset(_94466, _94470, _94468), -(relation_of2(_94466, _94470, _94468))], (186 ^ _83310) ^ [_89671, _89673] : [in(_89673, _89671), in(_89671, _89673)]], input).
% 47.59/46.86  ncf('1',plain,[468 : in(ordered_pair(464 ^ [], 211 ^ [448 ^ [], 447 ^ [], 464 ^ []]), 448 ^ []), 461 : relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = 447 ^ []],start(452 ^ 0,bind([[_99035], [211 ^ [448 ^ [], 447 ^ [], 464 ^ []]]]))).
% 47.59/46.86  ncf('1.1',plain,[-(in(ordered_pair(464 ^ [], 211 ^ [448 ^ [], 447 ^ [], 464 ^ []]), 448 ^ [])), 208 : in(464 ^ [], 447 ^ []), 208 : 447 ^ [] = relation_dom(448 ^ []), 204 : relation(448 ^ [])],extension(200 ^ 3,bind([[_90206, _90387, _90567], [448 ^ [], 447 ^ [], 464 ^ []]]))).
% 47.59/46.86  ncf('1.1.1',plain,[-(in(464 ^ [], 447 ^ []))],extension(466 ^ 8)).
% 47.59/46.86  ncf('1.1.2',plain,[-(447 ^ [] = relation_dom(448 ^ [])), 447 ^ [] = relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom(448 ^ [])],extension(10 ^ 6,bind([[_83745, _83747, _83749], [relation_dom(448 ^ []), relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), 447 ^ []]]))).
% 47.59/46.86  ncf('1.1.2.1',plain,[-(447 ^ [] = relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])), relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = 447 ^ []],extension(4 ^ 7,bind([[_83541, _83543], [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]))).
% 47.59/46.86  ncf('1.1.2.1.1',plain,[-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = 447 ^ [])],extension(463 ^ 8)).
% 47.59/46.86  ncf('1.1.2.2',plain,[-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom(448 ^ [])), relation_of2(448 ^ [], 447 ^ [], 446 ^ [])],extension(330 ^ 7,bind([[_94193, _94195, _94197], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.1.2.2.1',plain,[-(relation_of2(448 ^ [], 447 ^ [], 446 ^ [])), relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ [])],extension(336 ^ 8,bind([[_94466, _94468, _94470], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.1.2.2.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))],extension(450 ^ 9)).
% 47.59/46.86  ncf('1.1.3',plain,[-(relation(448 ^ [])), element(448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ [])))],extension(192 ^ 4,bind([[_89896, _89898, _89900], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.1.3.1',plain,[-(element(448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ [])))), relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ [])],extension(305 ^ 5,bind([[_93214, _93216, _93218], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.1.3.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))],extension(450 ^ 6)).
% 47.59/46.86  ncf('1.2',plain,[-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = 447 ^ []), 385 : in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 447 ^ []), 389 : in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []))],extension(378 ^ 3,bind([[_95874, _95876], [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]))).
% 47.59/46.86  ncf('1.2.1',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 447 ^ [])), element(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 447 ^ []), -(empty(447 ^ []))],extension(368 ^ 6,bind([[_95576, _95578], [447 ^ [], 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.1',plain,[-(element(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 447 ^ [])), in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])), element(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), powerset(447 ^ []))],extension(405 ^ 7,bind([[_96829, _96831, _96833], [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.1.1',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []))), in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])] = 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])],extension(104 ^ 8,bind([[_86762, _86764, _86766, _86768], [relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.1.1.1',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])))],extension(383 ^ 9)).
% 47.59/46.86  ncf('1.2.1.1.1.2',plain,[-(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])] = 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])])],extension(2 ^ 9,bind([[_83434], [379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.1.1.3',plain,[-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []))],extension(2 ^ 9,bind([[_83434], [relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]))).
% 47.59/46.86  ncf('1.2.1.1.2',plain,[-(element(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), powerset(447 ^ []))), relation_of2(448 ^ [], 447 ^ [], 446 ^ [])],extension(281 ^ 8,bind([[_92613, _92615, _92617], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.1.1.2.1',plain,[-(relation_of2(448 ^ [], 447 ^ [], 446 ^ [])), relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ [])],extension(336 ^ 9,bind([[_94466, _94468, _94470], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.1.1.2.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))],extension(450 ^ 10)).
% 47.59/46.86  ncf('1.2.1.2',plain,[empty(447 ^ []), in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])), element(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), powerset(447 ^ []))],extension(415 ^ 7,bind([[_97156, _97158, _97160], [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.2.1',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []))), in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])] = 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])],extension(104 ^ 8,bind([[_86762, _86764, _86766, _86768], [relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.2.1.1',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])))],extension(383 ^ 9)).
% 47.59/46.86  ncf('1.2.1.2.1.2',plain,[-(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])] = 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])])],extension(2 ^ 9,bind([[_83434], [379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.1.2.1.3',plain,[-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []))],extension(2 ^ 9,bind([[_83434], [relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]))).
% 47.59/46.86  ncf('1.2.1.2.2',plain,[-(element(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), powerset(447 ^ []))), relation_of2(448 ^ [], 447 ^ [], 446 ^ [])],extension(281 ^ 8,bind([[_92613, _92615, _92617], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.1.2.2.1',plain,[-(relation_of2(448 ^ [], 447 ^ [], 446 ^ [])), relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ [])],extension(336 ^ 9,bind([[_94466, _94468, _94470], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.1.2.2.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))],extension(450 ^ 10)).
% 47.59/46.86  ncf('1.2.2',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []))), 217 : in(ordered_pair(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 457 ^ [379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]), 448 ^ []), 215 : relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom(448 ^ []), 204 : relation(448 ^ [])],extension(200 ^ 6,bind([[_90206, _90387, _90811, _90890], [448 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []), 379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 457 ^ [379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]]))).
% 47.59/46.86  ncf('1.2.2.1',plain,[-(in(ordered_pair(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 457 ^ [379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]), 448 ^ [])), in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 447 ^ [])],extension(454 ^ 13,bind([[_98622], [379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])]]]))).
% 47.59/46.86  ncf('1.2.2.1.1',plain,[-(in(379 ^ [447 ^ [], relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ [])], 447 ^ []))],extension(387 ^ 14)).
% 47.59/46.86  ncf('1.2.2.2',plain,[-(relation_dom_as_subset(447 ^ [], 446 ^ [], 448 ^ []) = relation_dom(448 ^ [])), relation_of2(448 ^ [], 447 ^ [], 446 ^ [])],extension(330 ^ 9,bind([[_94193, _94195, _94197], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.2.2.1',plain,[-(relation_of2(448 ^ [], 447 ^ [], 446 ^ [])), relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ [])],extension(336 ^ 10,bind([[_94466, _94468, _94470], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.2.2.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))],extension(450 ^ 11)).
% 47.59/46.86  ncf('1.2.2.3',plain,[-(relation(448 ^ [])), element(448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ [])))],extension(192 ^ 7,bind([[_89896, _89898, _89900], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.2.3.1',plain,[-(element(448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ [])))), element(448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ []))), 448 ^ [] = 448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ [])) = powerset(cartesian_product2(447 ^ [], 446 ^ []))],extension(62 ^ 8,bind([[_85434, _85436, _85438, _85440], [powerset(cartesian_product2(447 ^ [], 446 ^ [])), powerset(cartesian_product2(447 ^ [], 446 ^ [])), 448 ^ [], 448 ^ []]]))).
% 47.59/46.86  ncf('1.2.2.3.1.1',plain,[-(element(448 ^ [], powerset(cartesian_product2(447 ^ [], 446 ^ [])))), relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ [])],extension(305 ^ 9,bind([[_93214, _93216, _93218], [448 ^ [], 446 ^ [], 447 ^ []]]))).
% 47.59/46.86  ncf('1.2.2.3.1.1.1',plain,[-(relation_of2_as_subset(448 ^ [], 447 ^ [], 446 ^ []))],extension(450 ^ 10)).
% 47.59/46.86  ncf('1.2.2.3.1.2',plain,[-(448 ^ [] = 448 ^ [])],extension(2 ^ 9,bind([[_83434], [448 ^ []]]))).
% 47.59/46.86  ncf('1.2.2.3.1.3',plain,[-(powerset(cartesian_product2(447 ^ [], 446 ^ [])) = powerset(cartesian_product2(447 ^ [], 446 ^ [])))],extension(2 ^ 9,bind([[_83434], [powerset(cartesian_product2(447 ^ [], 446 ^ []))]]))).
% 47.59/46.86  %-----------------------------------------------------
% 47.59/46.86  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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