%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU258+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n001.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 12:02:54 EDT 2023

% Result   : Theorem 20.90s 21.07s
% Output   : Proof 20.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU258+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 13:30:04 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 20.90/21.07  
% 20.90/21.07  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 20.90/21.07  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.90/21.07  %-----------------------------------------------------
% 20.90/21.07  ncf(matrix, plain, [(666 ^ _93601) ^ [] : [-(relation(664 ^ []))], (668 ^ _93601) ^ [] : [-(well_ordering(664 ^ []))], (670 ^ _93601) ^ [] : [-(subset(663 ^ [], relation_field(664 ^ [])))], (672 ^ _93601) ^ [] : [relation_field(relation_restriction(664 ^ [], 663 ^ [])) = 663 ^ []], (162 ^ _93601) ^ [_98689, _98691, _98693, _98695] : [-(unordered_pair(_98695, _98691) = unordered_pair(_98693, _98689)), _98695 = _98693, _98691 = _98689], (172 ^ _93601) ^ [_99020, _99022] : [_99022 = _99020, -(singleton(_99022) = singleton(_99020))], (178 ^ _93601) ^ [_99238, _99240] : [_99240 = _99238, -(relation_dom(_99240) = relation_dom(_99238))], (184 ^ _93601) ^ [_99456, _99458] : [_99458 = _99456, -(relation_rng(_99458) = relation_rng(_99456))], (190 ^ _93601) ^ [_99702, _99704, _99706, _99708] : [-(cartesian_product2(_99708, _99704) = cartesian_product2(_99706, _99702)), _99708 = _99706, _99704 = _99702], (200 ^ _93601) ^ [_100061, _100063, _100065, _100067] : [-(set_union2(_100067, _100063) = set_union2(_100065, _100061)), _100067 = _100065, _100063 = _100061], (210 ^ _93601) ^ [_100420, _100422, _100424, _100426] : [-(set_intersection2(_100426, _100422) = set_intersection2(_100424, _100420)), _100426 = _100424, _100422 = _100420], (220 ^ _93601) ^ [_100779, _100781, _100783, _100785] : [-(ordered_pair(_100785, _100781) = ordered_pair(_100783, _100779)), _100785 = _100783, _100781 = _100779], (230 ^ _93601) ^ [_101110, _101112] : [_101112 = _101110, -(powerset(_101112) = powerset(_101110))], (236 ^ _93601) ^ [_101328, _101330] : [_101330 = _101328, -(relation_field(_101330) = relation_field(_101328))], (242 ^ _93601) ^ [_101554, _101556, _101558, _101560] : [-(relation_restriction(_101560, _101556) = relation_restriction(_101558, _101554)), _101560 = _101558, _101556 = _101554], (2 ^ _93601) ^ [_93745] : [-(_93745 = _93745)], (4 ^ _93601) ^ [_93852, _93854] : [_93854 = _93852, -(_93852 = _93854)], (10 ^ _93601) ^ [_94056, _94058, _94060] : [-(_94060 = _94056), _94060 = _94058, _94058 = _94056], (20 ^ _93601) ^ [_94369, _94371] : [-(transitive(_94369)), _94371 = _94369, transitive(_94371)], (30 ^ _93601) ^ [_94664, _94666] : [-(antisymmetric(_94664)), _94666 = _94664, antisymmetric(_94666)], (40 ^ _93601) ^ [_94959, _94961] : [-(connected(_94959)), _94961 = _94959, connected(_94961)], (50 ^ _93601) ^ [_95254, _95256] : [-(well_founded_relation(_95254)), _95256 = _95254, well_founded_relation(_95256)], (60 ^ _93601) ^ [_95549, _95551] : [-(reflexive(_95549)), _95551 = _95549, reflexive(_95551)], (70 ^ _93601) ^ [_95844, _95846] : [-(function(_95844)), _95846 = _95844, function(_95846)], (80 ^ _93601) ^ [_96139, _96141] : [-(one_to_one(_96139)), _96141 = _96139, one_to_one(_96141)], (90 ^ _93601) ^ [_96462, _96464, _96466, _96468] : [-(element(_96466, _96462)), element(_96468, _96464), _96468 = _96466, _96464 = _96462], (104 ^ _93601) ^ [_96906, _96908, _96910, _96912] : [-(in(_96910, _96906)), in(_96912, _96908), _96912 = _96910, _96908 = _96906], (118 ^ _93601) ^ [_97322, _97324] : [-(empty(_97322)), _97324 = _97322, empty(_97324)], (128 ^ _93601) ^ [_97617, _97619] : [-(relation(_97617)), _97619 = _97617, relation(_97619)], (138 ^ _93601) ^ [_97912, _97914] : [-(well_ordering(_97912)), _97914 = _97912, well_ordering(_97914)], (148 ^ _93601) ^ [_98215, _98217, _98219, _98221] : [-(subset(_98219, _98215)), subset(_98221, _98217), _98221 = _98219, _98217 = _98215], (252 ^ _93601) ^ [_101959, _101961] : [in(_101961, _101959), in(_101959, _101961)], (258 ^ _93601) ^ [_102156] : [empty(_102156), -(function(_102156))], (264 ^ _93601) ^ [_102342] : [275 ^ _93601 : [(276 ^ _93601) ^ [] : [-(relation(_102342))], (278 ^ _93601) ^ [] : [-(function(_102342))], (280 ^ _93601) ^ [] : [-(one_to_one(_102342))]], relation(_102342), empty(_102342), function(_102342)], (282 ^ _93601) ^ [_102834, _102836] : [-(unordered_pair(_102836, _102834) = unordered_pair(_102834, _102836))], (284 ^ _93601) ^ [_102934, _102936] : [-(set_union2(_102936, _102934) = set_union2(_102934, _102936))], (286 ^ _93601) ^ [_103034, _103036] : [-(set_intersection2(_103036, _103034) = set_intersection2(_103034, _103036))], (288 ^ _93601) ^ [_103178, _103180] : [_103180 = _103178, 291 ^ _93601 : [(292 ^ _93601) ^ [] : [-(subset(_103180, _103178))], (294 ^ _93601) ^ [] : [-(subset(_103178, _103180))]]], (296 ^ _93601) ^ [_103415, _103417] : [-(_103417 = _103415), subset(_103417, _103415), subset(_103415, _103417)], (316 ^ _93601) ^ [_104059, _104061] : [318 ^ _93601 : [(319 ^ _93601) ^ [] : [-(in(317 ^ [_104059, _104061], _104061))], (321 ^ _93601) ^ [] : [in(317 ^ [_104059, _104061], _104059)]], -(subset(_104061, _104059))], (306 ^ _93601) ^ [_103745, _103747] : [subset(_103747, _103745), 309 ^ _93601 : [(310 ^ _93601) ^ [_103882] : [in(_103882, _103747), -(in(_103882, _103745))]]], (325 ^ _93601) ^ [_104402] : [relation(_104402), 328 ^ _93601 : [(329 ^ _93601) ^ [] : [well_ordering(_104402), 332 ^ _93601 : [(333 ^ _93601) ^ [] : [-(reflexive(_104402))], (335 ^ _93601) ^ [] : [-(transitive(_104402))], (337 ^ _93601) ^ [] : [-(antisymmetric(_104402))], (339 ^ _93601) ^ [] : [-(connected(_104402))], (341 ^ _93601) ^ [] : [-(well_founded_relation(_104402))]]], (343 ^ _93601) ^ [] : [-(well_ordering(_104402)), reflexive(_104402), transitive(_104402), antisymmetric(_104402), connected(_104402), well_founded_relation(_104402)]]], (365 ^ _93601) ^ [_105416, _105418] : [-(ordered_pair(_105418, _105416) = unordered_pair(unordered_pair(_105418, _105416), singleton(_105418)))], (367 ^ _93601) ^ [_105522] : [relation(_105522), -(relation_field(_105522) = set_union2(relation_dom(_105522), relation_rng(_105522)))], (373 ^ _93601) ^ [_105728] : [relation(_105728), 376 ^ _93601 : [(377 ^ _93601) ^ [_105847] : [-(relation_restriction(_105728, _105847) = set_intersection2(_105728, cartesian_product2(_105847, _105847)))]]], (379 ^ _93601) ^ [] : [true___, -(true___)], (385 ^ _93601) ^ [] : [true___, -(true___)], (391 ^ _93601) ^ [] : [true___, -(true___)], (397 ^ _93601) ^ [] : [true___, -(true___)], (403 ^ _93601) ^ [] : [true___, -(true___)], (409 ^ _93601) ^ [] : [true___, -(true___)], (415 ^ _93601) ^ [_106684, _106686] : [relation(_106686), -(relation(relation_restriction(_106686, _106684)))], (421 ^ _93601) ^ [] : [true___, -(true___)], (427 ^ _93601) ^ [] : [true___, -(true___)], (433 ^ _93601) ^ [] : [true___, -(true___)], (439 ^ _93601) ^ [] : [true___, -(true___)], (445 ^ _93601) ^ [] : [true___, -(true___)], (451 ^ _93601) ^ [] : [true___, -(true___)], (458 ^ _93601) ^ [_107620] : [-(element(456 ^ [_107620], _107620))], (460 ^ _93601) ^ [] : [-(empty(empty_set))], (462 ^ _93601) ^ [_107769, _107771] : [empty(ordered_pair(_107771, _107769))], (464 ^ _93601) ^ [_107880, _107882] : [-(empty(_107882)), empty(set_union2(_107882, _107880))], (470 ^ _93601) ^ [_108096, _108098] : [-(empty(_108098)), empty(set_union2(_108096, _108098))], (476 ^ _93601) ^ [_108297, _108299] : [-(set_union2(_108299, _108299) = _108299)], (478 ^ _93601) ^ [_108394, _108396] : [-(set_intersection2(_108396, _108396) = _108396)], (480 ^ _93601) ^ [_108492] : [relation(_108492), 483 ^ _93601 : [(494 ^ _93601) ^ [] : [496 ^ _93601 : [(497 ^ _93601) ^ [] : [-(in(495 ^ [_108492], relation_field(_108492)))], (499 ^ _93601) ^ [] : [in(ordered_pair(495 ^ [_108492], 495 ^ [_108492]), _108492)]], -(reflexive(_108492))], (484 ^ _93601) ^ [] : [reflexive(_108492), 487 ^ _93601 : [(488 ^ _93601) ^ [_108736] : [in(_108736, relation_field(_108492)), -(in(ordered_pair(_108736, _108736), _108492))]]]]], (504 ^ _93601) ^ [] : [-(relation(502 ^ []))], (506 ^ _93601) ^ [] : [-(function(502 ^ []))], (509 ^ _93601) ^ [] : [-(empty(507 ^ []))], (512 ^ _93601) ^ [] : [-(relation(510 ^ []))], (514 ^ _93601) ^ [] : [-(empty(510 ^ []))], (516 ^ _93601) ^ [] : [-(function(510 ^ []))], (519 ^ _93601) ^ [] : [empty(517 ^ [])], (522 ^ _93601) ^ [] : [-(relation(520 ^ []))], (524 ^ _93601) ^ [] : [-(function(520 ^ []))], (526 ^ _93601) ^ [] : [-(one_to_one(520 ^ []))], (528 ^ _93601) ^ [_109962, _109964] : [-(subset(_109964, _109964))], (530 ^ _93601) ^ [_110128, _110130, _110132, _110134] : [in(ordered_pair(_110134, _110132), cartesian_product2(_110130, _110128)), 533 ^ _93601 : [(534 ^ _93601) ^ [] : [-(in(_110134, _110130))], (536 ^ _93601) ^ [] : [-(in(_110132, _110128))]]], (538 ^ _93601) ^ [_110393, _110395, _110397, _110399] : [-(in(ordered_pair(_110399, _110397), cartesian_product2(_110395, _110393))), in(_110399, _110395), in(_110397, _110393)], (548 ^ _93601) ^ [_110740, _110742, _110744] : [relation(_110740), 551 ^ _93601 : [(552 ^ _93601) ^ [] : [in(_110744, relation_restriction(_110740, _110742)), 555 ^ _93601 : [(556 ^ _93601) ^ [] : [-(in(_110744, _110740))], (558 ^ _93601) ^ [] : [-(in(_110744, cartesian_product2(_110742, _110742)))]]], (560 ^ _93601) ^ [] : [-(in(_110744, relation_restriction(_110740, _110742))), in(_110744, _110740), in(_110744, cartesian_product2(_110742, _110742))]]], (570 ^ _93601) ^ [_111367] : [-(set_union2(_111367, empty_set) = _111367)], (572 ^ _93601) ^ [_111477, _111479] : [in(_111479, _111477), -(element(_111479, _111477))], (578 ^ _93601) ^ [_111687, _111689] : [relation(_111687), 581 ^ _93601 : [(582 ^ _93601) ^ [] : [-(subset(relation_field(relation_restriction(_111687, _111689)), relation_field(_111687)))], (584 ^ _93601) ^ [] : [-(subset(relation_field(relation_restriction(_111687, _111689)), _111689))]]], (586 ^ _93601) ^ [_111965] : [-(set_intersection2(_111965, empty_set) = empty_set)], (588 ^ _93601) ^ [_112075, _112077] : [element(_112077, _112075), -(empty(_112075)), -(in(_112077, _112075))], (598 ^ _93601) ^ [_112387, _112389, _112391] : [relation(_112387), in(ordered_pair(_112391, _112389), _112387), 605 ^ _93601 : [(606 ^ _93601) ^ [] : [-(in(_112391, relation_field(_112387)))], (608 ^ _93601) ^ [] : [-(in(_112389, relation_field(_112387)))]]], (610 ^ _93601) ^ [_112814, _112816] : [element(_112816, powerset(_112814)), -(subset(_112816, _112814))], (616 ^ _93601) ^ [_112980, _112982] : [subset(_112982, _112980), -(element(_112982, powerset(_112980)))], (622 ^ _93601) ^ [_113210, _113212, _113214] : [-(element(_113214, _113210)), in(_113214, _113212), element(_113212, powerset(_113210))], (632 ^ _93601) ^ [_113537, _113539, _113541] : [in(_113541, _113539), element(_113539, powerset(_113537)), empty(_113537)], (642 ^ _93601) ^ [_113833] : [empty(_113833), -(_113833 = empty_set)], (648 ^ _93601) ^ [_114035, _114037] : [in(_114037, _114035), empty(_114035)], (654 ^ _93601) ^ [_114222, _114224] : [empty(_114224), -(_114224 = _114222), empty(_114222)]], input).
% 20.90/21.07  ncf('1',plain,[relation_field(relation_restriction(664 ^ [], 663 ^ [])) = 663 ^ []],start(672 ^ 0)).
% 20.90/21.07  ncf('1.1',plain,[-(relation_field(relation_restriction(664 ^ [], 663 ^ [])) = 663 ^ []), subset(relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []), subset(663 ^ [], relation_field(relation_restriction(664 ^ [], 663 ^ [])))],extension(296 ^ 1,bind([[_103415, _103417], [663 ^ [], relation_field(relation_restriction(664 ^ [], 663 ^ []))]]))).
% 20.90/21.07  ncf('1.1.1',plain,[-(subset(relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ [])), relation(664 ^ [])],extension(578 ^ 2,bind([[_111687, _111689], [664 ^ [], 663 ^ []]]))).
% 20.90/21.07  ncf('1.1.1.1',plain,[-(relation(664 ^ []))],extension(666 ^ 3)).
% 20.90/21.07  ncf('1.1.2',plain,[-(subset(663 ^ [], relation_field(relation_restriction(664 ^ [], 663 ^ [])))), 321 : in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], relation_field(relation_restriction(664 ^ [], 663 ^ [])))],extension(316 ^ 2,bind([[_104059, _104061], [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]]))).
% 20.90/21.07  ncf('1.1.2.1',plain,[-(in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], relation_field(relation_restriction(664 ^ [], 663 ^ [])))), relation(relation_restriction(664 ^ [], 663 ^ [])), in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), relation_restriction(664 ^ [], 663 ^ []))],extension(598 ^ 5,bind([[_112387, _112389, _112391], [relation_restriction(664 ^ [], 663 ^ []), 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]]]))).
% 20.90/21.07  ncf('1.1.2.1.1',plain,[-(relation(relation_restriction(664 ^ [], 663 ^ []))), relation(664 ^ [])],extension(415 ^ 6,bind([[_106684, _106686], [663 ^ [], 664 ^ []]]))).
% 20.90/21.07  ncf('1.1.2.1.1.1',plain,[-(relation(664 ^ []))],extension(666 ^ 7)).
% 20.90/21.07  ncf('1.1.2.1.2',plain,[-(in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), relation_restriction(664 ^ [], 663 ^ []))), 560 : in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), 664 ^ []), 560 : in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), cartesian_product2(663 ^ [], 663 ^ [])), 560 : relation(664 ^ [])],extension(548 ^ 6,bind([[_110740, _110742, _110744], [664 ^ [], 663 ^ [], ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []])]]))).
% 20.90/21.07  ncf('1.1.2.1.2.1',plain,[-(in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), 664 ^ [])), 488 : in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], relation_field(664 ^ [])), 488 : reflexive(664 ^ []), 484 : relation(664 ^ [])],extension(480 ^ 9,bind([[_108492, _108736], [664 ^ [], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]]]))).
% 20.90/21.07  ncf('1.1.2.1.2.1.1',plain,[-(in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], relation_field(664 ^ []))), 310 : in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 663 ^ []), 310 : subset(663 ^ [], relation_field(664 ^ []))],extension(306 ^ 14,bind([[_103745, _103747, _103882], [relation_field(664 ^ []), 663 ^ [], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]]]))).
% 20.90/21.07  ncf('1.1.2.1.2.1.1.1',plain,[-(in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 663 ^ []))],extension(319 ^ 17)).
% 20.90/21.07  ncf('1.1.2.1.2.1.1.2',plain,[-(subset(663 ^ [], relation_field(664 ^ [])))],extension(670 ^ 15)).
% 20.90/21.07  ncf('1.1.2.1.2.1.2',plain,[-(reflexive(664 ^ [])), 329 : well_ordering(664 ^ []), 329 : relation(664 ^ [])],extension(325 ^ 12,bind([[_104402], [664 ^ []]]))).
% 20.90/21.07  ncf('1.1.2.1.2.1.2.1',plain,[-(well_ordering(664 ^ []))],extension(668 ^ 15)).
% 20.90/21.07  ncf('1.1.2.1.2.1.2.2',plain,[-(relation(664 ^ []))],extension(666 ^ 13)).
% 20.90/21.07  ncf('1.1.2.1.2.1.3',plain,[-(relation(664 ^ []))],extension(666 ^ 10)).
% 20.90/21.07  ncf('1.1.2.1.2.2',plain,[-(in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), cartesian_product2(663 ^ [], 663 ^ []))), 310 : in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), cartesian_product2(663 ^ [], 663 ^ [])), 310 : subset(cartesian_product2(663 ^ [], 663 ^ []), cartesian_product2(663 ^ [], 663 ^ []))],extension(306 ^ 9,bind([[_103745, _103747, _103882], [cartesian_product2(663 ^ [], 663 ^ []), cartesian_product2(663 ^ [], 663 ^ []), ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []])]]))).
% 20.90/21.07  ncf('1.1.2.1.2.2.1',plain,[-(in(ordered_pair(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]), cartesian_product2(663 ^ [], 663 ^ []))), in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 663 ^ []), in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 663 ^ [])],extension(538 ^ 12,bind([[_110393, _110395, _110397, _110399], [663 ^ [], 663 ^ [], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []]]]))).
% 20.90/21.07  ncf('1.1.2.1.2.2.1.1',plain,[-(in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 663 ^ []))],extension(319 ^ 13)).
% 20.90/21.07  ncf('1.1.2.1.2.2.1.2',plain,[-(in(317 ^ [relation_field(relation_restriction(664 ^ [], 663 ^ [])), 663 ^ []], 663 ^ []))],extension(319 ^ 13)).
% 20.90/21.07  ncf('1.1.2.1.2.2.2',plain,[-(subset(cartesian_product2(663 ^ [], 663 ^ []), cartesian_product2(663 ^ [], 663 ^ []))), cartesian_product2(663 ^ [], 663 ^ []) = cartesian_product2(663 ^ [], 663 ^ [])],extension(288 ^ 10,bind([[_103178, _103180], [cartesian_product2(663 ^ [], 663 ^ []), cartesian_product2(663 ^ [], 663 ^ [])]]))).
% 20.90/21.07  ncf('1.1.2.1.2.2.2.1',plain,[-(cartesian_product2(663 ^ [], 663 ^ []) = cartesian_product2(663 ^ [], 663 ^ []))],extension(2 ^ 11,bind([[_93745], [cartesian_product2(663 ^ [], 663 ^ [])]]))).
% 20.90/21.07  ncf('1.1.2.1.2.3',plain,[-(relation(664 ^ []))],extension(666 ^ 7)).
% 20.90/21.07  %-----------------------------------------------------
% 20.90/21.07  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------