%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU411+1 : TPTP v8.1.2. Released v3.4.0.
% 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 12:03:27 EDT 2023

% Result   : Theorem 33.56s 33.42s
% Output   : Proof 33.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU411+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n019.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 13:24:42 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 33.56/33.42  
% 33.56/33.42  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 33.56/33.42  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.56/33.42  %-----------------------------------------------------
% 33.56/33.42  ncf(matrix, plain, [(647 ^ _97101) ^ [] : [v3_struct_0(645 ^ [])], (649 ^ _97101) ^ [] : [-(v2_orders_2(645 ^ []))], (651 ^ _97101) ^ [] : [-(v3_orders_2(645 ^ []))], (653 ^ _97101) ^ [] : [-(v4_orders_2(645 ^ []))], (655 ^ _97101) ^ [] : [-(v1_yellow_0(645 ^ []))], (657 ^ _97101) ^ [] : [-(v1_lattice3(645 ^ []))], (659 ^ _97101) ^ [] : [-(l1_orders_2(645 ^ []))], (662 ^ _97101) ^ [] : [v3_struct_0(660 ^ [])], (664 ^ _97101) ^ [] : [-(v2_orders_2(660 ^ []))], (666 ^ _97101) ^ [] : [-(v3_orders_2(660 ^ []))], (668 ^ _97101) ^ [] : [-(v4_orders_2(660 ^ []))], (670 ^ _97101) ^ [] : [-(v1_yellow_0(660 ^ []))], (672 ^ _97101) ^ [] : [-(v1_lattice3(660 ^ []))], (674 ^ _97101) ^ [] : [-(l1_orders_2(660 ^ []))], (676 ^ _97101) ^ [] : [v1_xboole_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))], (678 ^ _97101) ^ [] : [-(v1_waybel_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), 660 ^ []))], (680 ^ _97101) ^ [] : [-(v12_waybel_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), 660 ^ []))], (682 ^ _97101) ^ [] : [-(m1_subset_1(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k1_zfmisc_1(u1_struct_0(660 ^ []))))], (684 ^ _97101) ^ [] : [r2_hidden(k3_yellow_0(660 ^ []), u1_struct_0(645 ^ []))], (216 ^ _97101) ^ [_104038, _104040, _104042, _104044] : [-(k3_xboole_0(_104044, _104040) = k3_xboole_0(_104042, _104038)), _104044 = _104042, _104040 = _104038], (226 ^ _97101) ^ [_104369, _104371] : [_104371 = _104369, -(k1_zfmisc_1(_104371) = k1_zfmisc_1(_104369))], (232 ^ _97101) ^ [_104587, _104589] : [_104589 = _104587, -(k3_yellow_0(_104589) = k3_yellow_0(_104587))], (238 ^ _97101) ^ [_104785, _104787] : [_104787 = _104785, -(u1_struct_0(_104787) = u1_struct_0(_104785))], (2 ^ _97101) ^ [_97245] : [-(_97245 = _97245)], (4 ^ _97101) ^ [_97352, _97354] : [_97354 = _97352, -(_97352 = _97354)], (10 ^ _97101) ^ [_97556, _97558, _97560] : [-(_97560 = _97556), _97560 = _97558, _97558 = _97556], (20 ^ _97101) ^ [_97869, _97871] : [-(l1_struct_0(_97869)), _97871 = _97869, l1_struct_0(_97871)], (30 ^ _97101) ^ [_98220, _98222, _98224, _98226, _98228, _98230] : [-(r3_orders_2(_98228, _98224, _98220)), r3_orders_2(_98230, _98226, _98222), _98230 = _98228, _98226 = _98224, _98222 = _98220], (48 ^ _97101) ^ [_98801, _98803, _98805, _98807] : [-(r1_tarski(_98805, _98801)), r1_tarski(_98807, _98803), _98807 = _98805, _98803 = _98801], (62 ^ _97101) ^ [_99273, _99275, _99277, _99279, _99281, _99283] : [-(r1_orders_2(_99281, _99277, _99273)), r1_orders_2(_99283, _99279, _99275), _99283 = _99281, _99279 = _99277, _99275 = _99273], (80 ^ _97101) ^ [_99826, _99828] : [-(v3_struct_0(_99826)), _99828 = _99826, v3_struct_0(_99828)], (90 ^ _97101) ^ [_100121, _100123] : [-(v2_orders_2(_100121)), _100123 = _100121, v2_orders_2(_100123)], (100 ^ _97101) ^ [_100416, _100418] : [-(v3_orders_2(_100416)), _100418 = _100416, v3_orders_2(_100418)], (110 ^ _97101) ^ [_100711, _100713] : [-(v4_orders_2(_100711)), _100713 = _100711, v4_orders_2(_100713)], (120 ^ _97101) ^ [_101006, _101008] : [-(v1_yellow_0(_101006)), _101008 = _101006, v1_yellow_0(_101008)], (130 ^ _97101) ^ [_101301, _101303] : [-(v1_lattice3(_101301)), _101303 = _101301, v1_lattice3(_101303)], (140 ^ _97101) ^ [_101596, _101598] : [-(l1_orders_2(_101596)), _101598 = _101596, l1_orders_2(_101598)], (150 ^ _97101) ^ [_101891, _101893] : [-(v1_xboole_0(_101891)), _101893 = _101891, v1_xboole_0(_101893)], (160 ^ _97101) ^ [_102214, _102216, _102218, _102220] : [-(v1_waybel_0(_102218, _102214)), v1_waybel_0(_102220, _102216), _102220 = _102218, _102216 = _102214], (174 ^ _97101) ^ [_102658, _102660, _102662, _102664] : [-(v12_waybel_0(_102662, _102658)), v12_waybel_0(_102664, _102660), _102664 = _102662, _102660 = _102658], (188 ^ _97101) ^ [_103102, _103104, _103106, _103108] : [-(m1_subset_1(_103106, _103102)), m1_subset_1(_103108, _103104), _103108 = _103106, _103104 = _103102], (202 ^ _97101) ^ [_103526, _103528, _103530, _103532] : [-(r2_hidden(_103530, _103526)), r2_hidden(_103532, _103528), _103532 = _103530, _103528 = _103526], (244 ^ _97101) ^ [_105021, _105023] : [r2_hidden(_105023, _105021), r2_hidden(_105021, _105023)], (250 ^ _97101) ^ [_105217, _105219] : [-(k3_xboole_0(_105219, _105217) = k3_xboole_0(_105217, _105219))], (252 ^ _97101) ^ [_105318] : [l1_orders_2(_105318), 255 ^ _97101 : [(256 ^ _97101) ^ [_105498] : [m1_subset_1(_105498, k1_zfmisc_1(u1_struct_0(_105318))), 259 ^ _97101 : [(282 ^ _97101) ^ [] : [284 ^ _97101 : [(285 ^ _97101) ^ [] : [-(m1_subset_1(283 ^ [_105318, _105498], u1_struct_0(_105318)))], (288 ^ _97101) ^ [] : [-(m1_subset_1(286 ^ [_105318, _105498], u1_struct_0(_105318)))], (290 ^ _97101) ^ [] : [-(r2_hidden(283 ^ [_105318, _105498], _105498))], (292 ^ _97101) ^ [] : [-(r1_orders_2(_105318, 286 ^ [_105318, _105498], 283 ^ [_105318, _105498]))], (294 ^ _97101) ^ [] : [r2_hidden(286 ^ [_105318, _105498], _105498)]], -(v12_waybel_0(_105498, _105318))], (260 ^ _97101) ^ [] : [v12_waybel_0(_105498, _105318), 263 ^ _97101 : [(264 ^ _97101) ^ [_105787] : [m1_subset_1(_105787, u1_struct_0(_105318)), 267 ^ _97101 : [(268 ^ _97101) ^ [_105951] : [m1_subset_1(_105951, u1_struct_0(_105318)), -(r2_hidden(_105951, _105498)), r2_hidden(_105787, _105498), r1_orders_2(_105318, _105951, _105787)]]]]]]]]], (298 ^ _97101) ^ [_107026] : [_107026 = k1_xboole_0, 301 ^ _97101 : [(302 ^ _97101) ^ [_107139] : [r2_hidden(_107139, _107026)]]], (304 ^ _97101) ^ [_107205] : [-(r2_hidden(305 ^ [_107205], _107205)), -(_107205 = k1_xboole_0)], (333 ^ _97101) ^ [_108235, _108237, _108239] : [-(_108235 = k3_xboole_0(_108239, _108237)), 345 ^ _97101 : [(346 ^ _97101) ^ [] : [-(r2_hidden(334 ^ [_108235, _108237, _108239], _108239))], (348 ^ _97101) ^ [] : [-(r2_hidden(334 ^ [_108235, _108237, _108239], _108237))], (350 ^ _97101) ^ [] : [r2_hidden(334 ^ [_108235, _108237, _108239], _108235)]], 337 ^ _97101 : [(338 ^ _97101) ^ [] : [-(r2_hidden(334 ^ [_108235, _108237, _108239], _108235))], (340 ^ _97101) ^ [] : [r2_hidden(334 ^ [_108235, _108237, _108239], _108239), r2_hidden(334 ^ [_108235, _108237, _108239], _108237)]]], (311 ^ _97101) ^ [_107510, _107512, _107514] : [_107510 = k3_xboole_0(_107514, _107512), 314 ^ _97101 : [(315 ^ _97101) ^ [_107692] : [r2_hidden(_107692, _107510), 318 ^ _97101 : [(319 ^ _97101) ^ [] : [-(r2_hidden(_107692, _107514))], (321 ^ _97101) ^ [] : [-(r2_hidden(_107692, _107512))]]], (323 ^ _97101) ^ [_107951] : [-(r2_hidden(_107951, _107510)), r2_hidden(_107951, _107514), r2_hidden(_107951, _107512)]]], (354 ^ _97101) ^ [] : [true___, -(true___)], (360 ^ _97101) ^ [] : [true___, -(true___)], (366 ^ _97101) ^ [] : [true___, -(true___)], (372 ^ _97101) ^ [_109331] : [l1_orders_2(_109331), -(m1_subset_1(k3_yellow_0(_109331), u1_struct_0(_109331)))], (378 ^ _97101) ^ [_109527] : [l1_orders_2(_109527), -(l1_struct_0(_109527))], (384 ^ _97101) ^ [] : [true___, -(true___)], (390 ^ _97101) ^ [] : [true___, -(true___)], (396 ^ _97101) ^ [] : [true___, -(true___)], (403 ^ _97101) ^ [] : [-(l1_orders_2(401 ^ []))], (406 ^ _97101) ^ [] : [-(l1_struct_0(404 ^ []))], (409 ^ _97101) ^ [_110272] : [-(m1_subset_1(407 ^ [_110272], _110272))], (411 ^ _97101) ^ [_110370] : [v1_xboole_0(u1_struct_0(_110370)), -(v3_struct_0(_110370)), l1_struct_0(_110370)], (421 ^ _97101) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (423 ^ _97101) ^ [_110699, _110701] : [-(k3_xboole_0(_110701, _110701) = _110701)], (426 ^ _97101) ^ [] : [-(v1_xboole_0(424 ^ []))], (429 ^ _97101) ^ [] : [v1_xboole_0(427 ^ [])], (432 ^ _97101) ^ [] : [-(l1_struct_0(430 ^ []))], (434 ^ _97101) ^ [] : [v3_struct_0(430 ^ [])], (436 ^ _97101) ^ [_111126] : [444 ^ _97101 : [(445 ^ _97101) ^ [] : [-(m1_subset_1(443 ^ [_111126], k1_zfmisc_1(u1_struct_0(_111126))))], (447 ^ _97101) ^ [] : [v1_xboole_0(443 ^ [_111126])]], -(v3_struct_0(_111126)), l1_struct_0(_111126)], (449 ^ _97101) ^ [_111547] : [465 ^ _97101 : [(466 ^ _97101) ^ [] : [-(m1_subset_1(464 ^ [_111547], k1_zfmisc_1(u1_struct_0(_111547))))], (468 ^ _97101) ^ [] : [v1_xboole_0(464 ^ [_111547])], (470 ^ _97101) ^ [] : [-(v1_waybel_0(464 ^ [_111547], _111547))], (472 ^ _97101) ^ [] : [-(v12_waybel_0(464 ^ [_111547], _111547))]], -(v3_struct_0(_111547)), v2_orders_2(_111547), v3_orders_2(_111547), l1_orders_2(_111547)], (474 ^ _97101) ^ [_112328, _112330, _112332] : [493 ^ _97101 : [(494 ^ _97101) ^ [] : [r3_orders_2(_112332, _112330, _112328), -(r1_orders_2(_112332, _112330, _112328))], (500 ^ _97101) ^ [] : [r1_orders_2(_112332, _112330, _112328), -(r3_orders_2(_112332, _112330, _112328))]], -(v3_struct_0(_112332)), v2_orders_2(_112332), l1_orders_2(_112332), m1_subset_1(_112330, u1_struct_0(_112332)), m1_subset_1(_112328, u1_struct_0(_112332))], (506 ^ _97101) ^ [_113172, _113174] : [-(r1_tarski(_113174, _113174))], (508 ^ _97101) ^ [_113295, _113297, _113299] : [-(r3_orders_2(_113299, _113297, _113297)), -(v3_struct_0(_113299)), v2_orders_2(_113299), l1_orders_2(_113299), m1_subset_1(_113297, u1_struct_0(_113299)), m1_subset_1(_113295, u1_struct_0(_113299))], (530 ^ _97101) ^ [_113876] : [-(v3_struct_0(_113876)), l1_orders_2(_113876), 537 ^ _97101 : [(538 ^ _97101) ^ [_114119] : [-(v3_struct_0(_114119)), l1_orders_2(_114119), 545 ^ _97101 : [(546 ^ _97101) ^ [_114355] : [r2_hidden(_114355, k3_xboole_0(u1_struct_0(_113876), u1_struct_0(_114119))), -(m1_subset_1(_114355, u1_struct_0(_114119)))]]]]], (552 ^ _97101) ^ [_114607, _114609] : [r2_hidden(_114609, _114607), -(m1_subset_1(_114609, _114607))], (558 ^ _97101) ^ [_114788] : [-(k3_xboole_0(_114788, k1_xboole_0) = k1_xboole_0)], (560 ^ _97101) ^ [_114898, _114900] : [m1_subset_1(_114900, _114898), -(v1_xboole_0(_114898)), -(r2_hidden(_114900, _114898))], (570 ^ _97101) ^ [_115225, _115227] : [m1_subset_1(_115227, k1_zfmisc_1(_115225)), -(r1_tarski(_115227, _115225))], (576 ^ _97101) ^ [_115391, _115393] : [r1_tarski(_115393, _115391), -(m1_subset_1(_115393, k1_zfmisc_1(_115391)))], (582 ^ _97101) ^ [_115593] : [597 ^ _97101 : [(598 ^ _97101) ^ [_115981] : [m1_subset_1(_115981, u1_struct_0(_115593)), -(r1_orders_2(_115593, k3_yellow_0(_115593), _115981))]], -(v3_struct_0(_115593)), v4_orders_2(_115593), v1_yellow_0(_115593), l1_orders_2(_115593)], (604 ^ _97101) ^ [_116222, _116224, _116226] : [-(m1_subset_1(_116226, _116222)), r2_hidden(_116226, _116224), m1_subset_1(_116224, k1_zfmisc_1(_116222))], (614 ^ _97101) ^ [_116549, _116551, _116553] : [r2_hidden(_116553, _116551), m1_subset_1(_116551, k1_zfmisc_1(_116549)), v1_xboole_0(_116549)], (624 ^ _97101) ^ [_116845] : [v1_xboole_0(_116845), -(_116845 = k1_xboole_0)], (630 ^ _97101) ^ [_117047, _117049] : [r2_hidden(_117049, _117047), v1_xboole_0(_117047)], (636 ^ _97101) ^ [_117234, _117236] : [v1_xboole_0(_117236), -(_117236 = _117234), v1_xboole_0(_117234)]], input).
% 33.56/33.42  ncf('1',plain,[r2_hidden(k3_yellow_0(660 ^ []), u1_struct_0(645 ^ []))],start(684 ^ 0)).
% 33.56/33.42  ncf('1.1',plain,[-(r2_hidden(k3_yellow_0(660 ^ []), u1_struct_0(645 ^ []))), 315 : r2_hidden(k3_yellow_0(660 ^ []), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), 315 : k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k3_xboole_0(u1_struct_0(645 ^ []), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(311 ^ 1,bind([[_107510, _107512, _107514, _107692], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ []), k3_yellow_0(660 ^ [])]]))).
% 33.56/33.42  ncf('1.1.1',plain,[-(r2_hidden(k3_yellow_0(660 ^ []), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), 268 : m1_subset_1(k3_yellow_0(660 ^ []), u1_struct_0(660 ^ [])), 268 : r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), 268 : r1_orders_2(660 ^ [], k3_yellow_0(660 ^ []), 305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]), 268 : m1_subset_1(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], u1_struct_0(660 ^ [])), 264 : v12_waybel_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), 660 ^ []), 260 : m1_subset_1(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k1_zfmisc_1(u1_struct_0(660 ^ []))), 256 : l1_orders_2(660 ^ [])],extension(252 ^ 4,bind([[_105318, _105498, _105787, _105951], [660 ^ [], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), 305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_yellow_0(660 ^ [])]]))).
% 33.56/33.42  ncf('1.1.1.1',plain,[-(m1_subset_1(k3_yellow_0(660 ^ []), u1_struct_0(660 ^ []))), l1_orders_2(660 ^ [])],extension(372 ^ 13,bind([[_109331], [660 ^ []]]))).
% 33.56/33.42  ncf('1.1.1.1.1',plain,[-(l1_orders_2(660 ^ []))],extension(674 ^ 14)).
% 33.56/33.42  ncf('1.1.1.2',plain,[-(r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), -(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k1_xboole_0)],extension(304 ^ 13,bind([[_107205], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]))).
% 33.56/33.42  ncf('1.1.1.2.1',plain,[k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k1_xboole_0, -(k1_xboole_0 = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(4 ^ 14,bind([[_97352, _97354], [k1_xboole_0, k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]))).
% 33.56/33.42  ncf('1.1.1.2.1.1',plain,[k1_xboole_0 = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), -(k1_xboole_0 = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))],extension(10 ^ 15,bind([[_97556, _97558, _97560], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k1_xboole_0]]))).
% 33.56/33.42  ncf('1.1.1.2.1.1.1',plain,[k1_xboole_0 = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), -(v1_xboole_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), v1_xboole_0(k1_xboole_0)],extension(150 ^ 16,bind([[_101891, _101893], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k1_xboole_0]]))).
% 33.56/33.42  ncf('1.1.1.2.1.1.1.1',plain,[v1_xboole_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(676 ^ 17)).
% 33.56/33.42  ncf('1.1.1.2.1.1.1.2',plain,[-(v1_xboole_0(k1_xboole_0))],extension(421 ^ 17)).
% 33.56/33.42  ncf('1.1.1.2.1.1.2',plain,[-(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(2 ^ 16,bind([[_97245], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]))).
% 33.56/33.42  ncf('1.1.1.3',plain,[-(r1_orders_2(660 ^ [], k3_yellow_0(660 ^ []), 305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))])), 598 : m1_subset_1(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], u1_struct_0(660 ^ [])), 598 : -(v3_struct_0(660 ^ [])), 598 : v4_orders_2(660 ^ []), 598 : v1_yellow_0(660 ^ []), 598 : l1_orders_2(660 ^ [])],extension(582 ^ 13,bind([[_115593, _115981], [660 ^ [], 305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]]))).
% 33.56/33.42  ncf('1.1.1.3.1',plain,[-(m1_subset_1(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], u1_struct_0(660 ^ []))), 546 : r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), 546 : -(v3_struct_0(660 ^ [])), 546 : l1_orders_2(660 ^ []), 538 : -(v3_struct_0(645 ^ [])), 538 : l1_orders_2(645 ^ [])],extension(530 ^ 16,bind([[_113876, _114119, _114355], [645 ^ [], 660 ^ [], 305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]]))).
% 33.56/33.42  ncf('1.1.1.3.1.1',plain,[-(r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(315 ^ 21,bind([[_107692], [305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]]))).
% 33.56/33.42  ncf('1.1.1.3.1.1.1',plain,[-(r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))))],lemmata('[1, 1].x')).
% 33.56/33.42  ncf('1.1.1.3.1.2',plain,[v3_struct_0(660 ^ [])],extension(662 ^ 19)).
% 33.56/33.42  ncf('1.1.1.3.1.3',plain,[-(l1_orders_2(660 ^ []))],extension(674 ^ 19)).
% 33.56/33.42  ncf('1.1.1.3.1.4',plain,[v3_struct_0(645 ^ [])],extension(647 ^ 17)).
% 33.56/33.42  ncf('1.1.1.3.1.5',plain,[-(l1_orders_2(645 ^ []))],extension(659 ^ 17)).
% 33.56/33.42  ncf('1.1.1.3.2',plain,[v3_struct_0(660 ^ [])],extension(662 ^ 14)).
% 33.56/33.42  ncf('1.1.1.3.3',plain,[-(v4_orders_2(660 ^ []))],extension(668 ^ 14)).
% 33.56/33.42  ncf('1.1.1.3.4',plain,[-(v1_yellow_0(660 ^ []))],extension(670 ^ 14)).
% 33.56/33.42  ncf('1.1.1.3.5',plain,[-(l1_orders_2(660 ^ []))],extension(674 ^ 14)).
% 33.56/33.42  ncf('1.1.1.4',plain,[-(m1_subset_1(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], u1_struct_0(660 ^ []))), 546 : r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), 546 : -(v3_struct_0(660 ^ [])), 546 : l1_orders_2(660 ^ []), 538 : -(v3_struct_0(645 ^ [])), 538 : l1_orders_2(645 ^ [])],extension(530 ^ 11,bind([[_113876, _114119, _114355], [645 ^ [], 660 ^ [], 305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]]))).
% 33.56/33.42  ncf('1.1.1.4.1',plain,[-(r2_hidden(305 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), -(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k1_xboole_0)],extension(304 ^ 16,bind([[_107205], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]))).
% 33.56/33.42  ncf('1.1.1.4.1.1',plain,[k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k1_xboole_0, -(k1_xboole_0 = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(4 ^ 17,bind([[_97352, _97354], [k1_xboole_0, k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))]]))).
% 33.56/33.42  ncf('1.1.1.4.1.1.1',plain,[k1_xboole_0 = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), -(v1_xboole_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), v1_xboole_0(k1_xboole_0)],extension(150 ^ 18,bind([[_101891, _101893], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k1_xboole_0]]))).
% 33.56/33.42  ncf('1.1.1.4.1.1.1.1',plain,[v1_xboole_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(676 ^ 19)).
% 33.56/33.42  ncf('1.1.1.4.1.1.1.2',plain,[-(v1_xboole_0(k1_xboole_0))],extension(421 ^ 19)).
% 33.56/33.42  ncf('1.1.1.4.2',plain,[v3_struct_0(660 ^ [])],extension(662 ^ 14)).
% 33.56/33.42  ncf('1.1.1.4.3',plain,[-(l1_orders_2(660 ^ []))],extension(674 ^ 14)).
% 33.56/33.42  ncf('1.1.1.4.4',plain,[v3_struct_0(645 ^ [])],extension(647 ^ 12)).
% 33.56/33.42  ncf('1.1.1.4.5',plain,[-(l1_orders_2(645 ^ []))],extension(659 ^ 12)).
% 33.56/33.42  ncf('1.1.1.5',plain,[-(v12_waybel_0(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), 660 ^ []))],extension(680 ^ 9)).
% 33.56/33.42  ncf('1.1.1.6',plain,[-(m1_subset_1(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k1_zfmisc_1(u1_struct_0(660 ^ []))))],extension(682 ^ 7)).
% 33.56/33.42  ncf('1.1.1.7',plain,[-(l1_orders_2(660 ^ []))],extension(674 ^ 5)).
% 33.56/33.42  ncf('1.1.2',plain,[-(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k3_xboole_0(u1_struct_0(645 ^ []), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), 348 : -(r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))), 338 : -(r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))))],extension(333 ^ 2,bind([[_108235, _108237, _108239], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])]]))).
% 33.56/33.42  ncf('1.1.2.1',plain,[r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])))],extension(350 ^ 5)).
% 33.56/33.42  ncf('1.1.2.2',plain,[r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], u1_struct_0(645 ^ []))],extension(340 ^ 5)).
% 33.56/33.42  ncf('1.1.2.2.1',plain,[-(r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], u1_struct_0(645 ^ []))), 315 : r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), 315 : k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))],extension(311 ^ 6,bind([[_107510, _107512, _107514, _107692], [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(660 ^ []), u1_struct_0(645 ^ []), 334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])]]]))).
% 33.56/33.42  ncf('1.1.2.2.1.1',plain,[-(r2_hidden(334 ^ [k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])), u1_struct_0(645 ^ [])], k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))))],reduction('1.1.2')).
% 33.56/33.42  ncf('1.1.2.2.1.2',plain,[-(k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ [])) = k3_xboole_0(u1_struct_0(645 ^ []), u1_struct_0(660 ^ []))), u1_struct_0(645 ^ []) = u1_struct_0(645 ^ []), u1_struct_0(660 ^ []) = u1_struct_0(660 ^ [])],extension(216 ^ 7,bind([[_104038, _104040, _104042, _104044], [u1_struct_0(660 ^ []), u1_struct_0(660 ^ []), u1_struct_0(645 ^ []), u1_struct_0(645 ^ [])]]))).
% 33.56/33.42  ncf('1.1.2.2.1.2.1',plain,[-(u1_struct_0(645 ^ []) = u1_struct_0(645 ^ []))],extension(2 ^ 8,bind([[_97245], [u1_struct_0(645 ^ [])]]))).
% 33.56/33.42  ncf('1.1.2.2.1.2.2',plain,[-(u1_struct_0(660 ^ []) = u1_struct_0(660 ^ []))],extension(2 ^ 8,bind([[_97245], [u1_struct_0(660 ^ [])]]))).
% 33.56/33.42  %-----------------------------------------------------
% 33.56/33.42  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------