TSTP Solution File: SEU368+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU368+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 12:03:18 EDT 2023
% Result : Theorem 43.30s 42.72s
% Output : Proof 43.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU368+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n007.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 13:02:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.30/42.72
% 43.30/42.72 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.30/42.72 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.30/42.72 %-----------------------------------------------------
% 43.30/42.72 ncf(matrix, plain, [(682 ^ _134428) ^ [] : [the_carrier(incl_POSet(680 ^ [])) = 680 ^ [], the_InternalRel(incl_POSet(680 ^ [])) = inclusion_order(680 ^ [])], !, (96 ^ _112196) ^ [_115354, _115356, _115358, _115360] : [-(element(_115358, _115354)), element(_115360, _115356), _115360 = _115358, _115356 = _115354], (345 ^ _112196) ^ [] : [-(empty(empty_set))], (196 ^ _112196) ^ [_118463, _118465] : [-(strict_rel_str(_118463)), _118465 = _118463, strict_rel_str(_118465)], (44 ^ _112196) ^ [_113683, _113685] : [-(empty(_113683)), _113685 = _113683, empty(_113685)], (469 ^ _112196) ^ [] : [true___, -(true___)], (120 ^ _112196) ^ [_116065, _116067] : [-(reflexive(_116065)), _116067 = _116065, reflexive(_116067)], (567 ^ _112196) ^ [] : [-(one_sorted_str(565 ^ []))], (655 ^ _112196) ^ [_133250] : [-(strict_rel_str(incl_POSet(_133250)))], (527 ^ _112196) ^ [_128953] : [empty(powerset(_128953))], (286 ^ _112196) ^ [_121487, _121489] : [_121489 = _121487, -(inclusion_order(_121489) = inclusion_order(_121487))], (20 ^ _112196) ^ [_112944, _112946] : [-(empty_carrier(_112944)), _112946 = _112944, empty_carrier(_112946)], (592 ^ _112196) ^ [_131274] : [-(relation(inclusion_relation(_131274)))], (54 ^ _112196) ^ [_114006, _114008, _114010, _114012] : [-(subset(_114010, _114006)), subset(_114012, _114008), _114012 = _114010, _114008 = _114006], (481 ^ _112196) ^ [] : [true___, -(true___)], (150 ^ _112196) ^ [_117006, _117008, _117010, _117012, _117014, _117016] : [-(v1_partfun1(_117014, _117010, _117006)), v1_partfun1(_117016, _117012, _117008), _117016 = _117014, _117012 = _117010, _117008 = _117006], (319 ^ _112196) ^ [_122482] : [327 ^ _112196 : [(330 ^ _112196) ^ [] : [empty(326 ^ [_122482])], (328 ^ _112196) ^ [] : [-(element(326 ^ [_122482], powerset(the_carrier(_122482))))]], -(empty_carrier(_122482)), one_sorted_str(_122482)], (335 ^ _112196) ^ [] : [empty_carrier(331 ^ [])], (600 ^ _112196) ^ [] : [true___, -(true___)], (298 ^ _112196) ^ [] : [true___, -(true___)], (347 ^ _112196) ^ [_123360, _123362] : [in(_123362, _123360), -(element(_123362, _123360))], (4 ^ _112196) ^ [_112427, _112429] : [_112429 = _112427, -(_112427 = _112429)], (421 ^ _112196) ^ [_125867] : [-(element(419 ^ [_125867], powerset(_125867)))], (647 ^ _112196) ^ [_132964] : [-(antisymmetric(inclusion_order(_132964)))], (529 ^ _112196) ^ [_129090, _129092] : [element(_129092, powerset(_129090)), -(subset(_129092, _129090))], (305 ^ _112196) ^ [] : [-(one_sorted_str(303 ^ []))], (467 ^ _112196) ^ [_127354] : [-(element(465 ^ [_127354], _127354))], (110 ^ _112196) ^ [_115770, _115772] : [-(relation(_115770)), _115772 = _115770, relation(_115772)], (30 ^ _112196) ^ [_113267, _113269, _113271, _113273] : [-(in(_113271, _113267)), in(_113273, _113269), _113273 = _113271, _113269 = _113267], (553 ^ _112196) ^ [_129950] : [rel_str(_129950), strict_rel_str(_129950), -(_129950 = rel_str_of(the_carrier(_129950), the_InternalRel(_129950)))], (178 ^ _112196) ^ [_117910, _117912, _117914, _117916, _117918, _117920] : [-(relation_of2_as_subset(_117918, _117914, _117910)), relation_of2_as_subset(_117920, _117916, _117912), _117920 = _117918, _117916 = _117914, _117912 = _117910], (268 ^ _112196) ^ [_120853, _120855] : [_120855 = _120853, -(the_carrier(_120855) = the_carrier(_120853))], (140 ^ _112196) ^ [_116655, _116657] : [-(transitive(_116655)), _116657 = _116655, transitive(_116657)], (86 ^ _112196) ^ [_115031, _115033] : [-(one_sorted_str(_115031)), _115033 = _115031, one_sorted_str(_115033)], (659 ^ _112196) ^ [_133391] : [rel_str(_133391), -(relation_of2_as_subset(the_InternalRel(_133391), the_carrier(_133391), the_carrier(_133391)))], (564 ^ _112196) ^ [] : [-(rel_str(562 ^ []))], (475 ^ _112196) ^ [] : [true___, -(true___)], (645 ^ _112196) ^ [_132899] : [-(reflexive(inclusion_order(_132899)))], (258 ^ _112196) ^ [_120522, _120524, _120526, _120528] : [-(rel_str_of(_120528, _120524) = rel_str_of(_120526, _120522)), _120528 = _120526, _120524 = _120522], (341 ^ _112196) ^ [] : [-(transitive_relstr(331 ^ []))], (280 ^ _112196) ^ [_121289, _121291] : [_121291 = _121289, -(incl_POSet(_121291) = incl_POSet(_121289))], (130 ^ _112196) ^ [_116360, _116362] : [-(antisymmetric(_116360)), _116362 = _116360, antisymmetric(_116362)], (252 ^ _112196) ^ [_120276, _120278] : [_120278 = _120276, -(inclusion_relation(_120278) = inclusion_relation(_120276))], (453 ^ _112196) ^ [_126903, _126905] : [empty(_126905), -(_126905 = _126903), empty(_126903)], (487 ^ _112196) ^ [] : [true___, -(true___)], (606 ^ _112196) ^ [_131701, _131703, _131705] : [relation_of2_as_subset(_131701, _131705, _131703), -(element(_131701, powerset(cartesian_product2(_131705, _131703))))], (651 ^ _112196) ^ [_133094] : [-(v1_partfun1(inclusion_order(_133094), _133094, _133094))], (410 ^ _112196) ^ [_125524, _125526] : [empty(cartesian_product2(_125526, _125524)), -(empty(_125526)), -(empty(_125524))], (649 ^ _112196) ^ [_133029] : [-(transitive(inclusion_order(_133029)))], (216 ^ _112196) ^ [_119053, _119055] : [-(transitive_relstr(_119053)), _119055 = _119053, transitive_relstr(_119055)], (337 ^ _112196) ^ [] : [-(strict_rel_str(331 ^ []))], (375 ^ _112196) ^ [_124301] : [-(empty(_124301)), 378 ^ _112196 : [(379 ^ _112196) ^ [] : [empty_carrier(incl_POSet(_124301))], (383 ^ _112196) ^ [] : [-(reflexive_relstr(incl_POSet(_124301)))], (387 ^ _112196) ^ [] : [-(antisymmetric_relstr(incl_POSet(_124301)))], (385 ^ _112196) ^ [] : [-(transitive_relstr(incl_POSet(_124301)))], (381 ^ _112196) ^ [] : [-(strict_rel_str(incl_POSet(_124301)))]]], (68 ^ _112196) ^ [_114478, _114480, _114482, _114484, _114486, _114488] : [-(relation_of2(_114486, _114482, _114478)), relation_of2(_114488, _114484, _114480), _114488 = _114486, _114484 = _114482, _114480 = _114478], (613 ^ _112196) ^ [] : [-(rel_str(611 ^ []))], (679 ^ _112196) ^ [_133957] : [-(incl_POSet(_133957) = rel_str_of(_133957, inclusion_order(_133957)))], (677 ^ _112196) ^ [_133892] : [-(antisymmetric_relstr(incl_POSet(_133892)))], (373 ^ _112196) ^ [_124206, _124208] : [-(subset(_124208, _124208))], (168 ^ _112196) ^ [_117559, _117561] : [-(rel_str(_117559)), _117561 = _117559, rel_str(_117561)], (363 ^ _112196) ^ [_123911, _123913, _123915] : [in(_123915, _123913), element(_123913, powerset(_123911)), empty(_123911)], (353 ^ _112196) ^ [_123584, _123586, _123588] : [-(element(_123588, _123584)), in(_123588, _123586), element(_123586, powerset(_123584))], (521 ^ _112196) ^ [_128759, _128761, _128763] : [element(_128759, powerset(cartesian_product2(_128763, _128761))), -(relation(_128759))], (10 ^ _112196) ^ [_112631, _112633, _112635] : [-(_112635 = _112631), _112635 = _112633, _112633 = _112631], (426 ^ _112196) ^ [] : [-(empty(424 ^ []))], (643 ^ _112196) ^ [_132797] : [-(inclusion_order(_132797) = inclusion_relation(_132797))], (339 ^ _112196) ^ [] : [-(reflexive_relstr(331 ^ []))], (431 ^ _112196) ^ [_126210, _126212] : [element(_126212, _126210), -(empty(_126210)), -(in(_126212, _126210))], (584 ^ _112196) ^ [_131008, _131010] : [relation_of2(_131008, _131010, _131010), 587 ^ _112196 : [(590 ^ _112196) ^ [] : [-(rel_str(rel_str_of(_131010, _131008)))], (588 ^ _112196) ^ [] : [-(strict_rel_str(rel_str_of(_131010, _131008)))]]], (671 ^ _112196) ^ [_133717] : [-(strict_rel_str(incl_POSet(_133717)))], (617 ^ _112196) ^ [_132064] : [632 ^ _112196 : [(633 ^ _112196) ^ [] : [-(relation(the_InternalRel(_132064)))], (637 ^ _112196) ^ [] : [-(antisymmetric(the_InternalRel(_132064)))], (641 ^ _112196) ^ [] : [-(v1_partfun1(the_InternalRel(_132064), the_carrier(_132064), the_carrier(_132064)))], (639 ^ _112196) ^ [] : [-(transitive(the_InternalRel(_132064)))], (635 ^ _112196) ^ [] : [-(reflexive(the_InternalRel(_132064)))]], reflexive_relstr(_132064), transitive_relstr(_132064), antisymmetric_relstr(_132064), rel_str(_132064)], (570 ^ _112196) ^ [_130454, _130456] : [-(relation_of2_as_subset(568 ^ [_130454, _130456], _130456, _130454))], (2 ^ _112196) ^ [_112320] : [-(_112320 = _112320)], (594 ^ _112196) ^ [_131368] : [rel_str(_131368), -(one_sorted_str(_131368))], (653 ^ _112196) ^ [_133141] : [-(relation_of2_as_subset(inclusion_order(_133141), _133141, _133141))], (578 ^ _112196) ^ [_130786, _130788, _130790] : [relation_of2(_130786, _130790, _130788), -(relation_of2_as_subset(_130786, _130790, _130788))], (464 ^ _112196) ^ [_127227, _127229] : [-(relation_of2(462 ^ [_127227, _127229], _127229, _127227))], (307 ^ _112196) ^ [] : [empty_carrier(303 ^ [])], (236 ^ _112196) ^ [_119699, _119701] : [_119701 = _119699, -(powerset(_119701) = powerset(_119699))], (675 ^ _112196) ^ [_133847] : [-(transitive_relstr(incl_POSet(_133847)))], (423 ^ _112196) ^ [_125918] : [-(empty(419 ^ [_125918]))], (292 ^ _112196) ^ [_121739, _121741] : [in(_121741, _121739), in(_121739, _121741)], (309 ^ _112196) ^ [_122205] : [empty(the_carrier(_122205)), -(empty_carrier(_122205)), one_sorted_str(_122205)], (572 ^ _112196) ^ [_130614, _130616, _130618] : [relation_of2_as_subset(_130614, _130618, _130616), -(relation_of2(_130614, _130618, _130616))], (242 ^ _112196) ^ [_119945, _119947, _119949, _119951] : [-(cartesian_product2(_119951, _119947) = cartesian_product2(_119949, _119945)), _119951 = _119949, _119947 = _119945], (493 ^ _112196) ^ [_127942, _127944] : [512 ^ _112196 : [(515 ^ _112196) ^ [] : [-(reflexive_relstr(rel_str_of(_127944, _127942)))], (517 ^ _112196) ^ [] : [-(transitive_relstr(rel_str_of(_127944, _127942)))], (519 ^ _112196) ^ [] : [-(antisymmetric_relstr(rel_str_of(_127944, _127942)))], (513 ^ _112196) ^ [] : [-(strict_rel_str(rel_str_of(_127944, _127942)))]], reflexive(_127942), antisymmetric(_127942), transitive(_127942), v1_partfun1(_127942, _127944, _127944), relation_of2(_127942, _127944, _127944)], (441 ^ _112196) ^ [_126494] : [empty(_126494), -(_126494 = empty_set)], (343 ^ _112196) ^ [] : [-(antisymmetric_relstr(331 ^ []))], (673 ^ _112196) ^ [_133782] : [-(reflexive_relstr(incl_POSet(_133782)))], (389 ^ _112196) ^ [_124806, _124808] : [396 ^ _112196 : [(399 ^ _112196) ^ [] : [-(strict_rel_str(rel_str_of(_124808, _124806)))], (397 ^ _112196) ^ [] : [empty_carrier(rel_str_of(_124808, _124806))]], -(empty(_124808)), relation_of2(_124806, _124808, _124808)], (333 ^ _112196) ^ [] : [-(rel_str(331 ^ []))], (447 ^ _112196) ^ [_126696, _126698] : [in(_126698, _126696), empty(_126696)], (226 ^ _112196) ^ [_119328, _119330] : [-(antisymmetric_relstr(_119328)), _119330 = _119328, antisymmetric_relstr(_119330)], (206 ^ _112196) ^ [_118758, _118760] : [-(reflexive_relstr(_118758)), _118760 = _118758, reflexive_relstr(_118760)], (665 ^ _112196) ^ [] : [true___, -(true___)], (541 ^ _112196) ^ [_129472, _129474] : [relation_of2(_129472, _129474, _129474), 544 ^ _112196 : [(545 ^ _112196) ^ [_129642, _129644] : [rel_str_of(_129474, _129472) = rel_str_of(_129644, _129642), 548 ^ _112196 : [(551 ^ _112196) ^ [] : [-(_129472 = _129642)], (549 ^ _112196) ^ [] : [-(_129474 = _129644)]]]]], (535 ^ _112196) ^ [_129256, _129258] : [subset(_129258, _129256), -(element(_129258, powerset(_129256)))], (401 ^ _112196) ^ [_125178] : [-(empty(_125178)), 405 ^ _112196 : [(408 ^ _112196) ^ [] : [empty(404 ^ [_125178])], (406 ^ _112196) ^ [] : [-(element(404 ^ [_125178], powerset(_125178)))]]], (615 ^ _112196) ^ [] : [-(strict_rel_str(611 ^ []))], (657 ^ _112196) ^ [_133295] : [-(rel_str(incl_POSet(_133295)))], (274 ^ _112196) ^ [_121071, _121073] : [_121073 = _121071, -(the_InternalRel(_121073) = the_InternalRel(_121071))], (429 ^ _112196) ^ [] : [empty(427 ^ [])]], input).
% 43.30/42.72 ncf('1',plain,[the_carrier(incl_POSet(680 ^ [])) = 680 ^ [], the_InternalRel(incl_POSet(680 ^ [])) = inclusion_order(680 ^ [])],start(682 ^ 0)).
% 43.30/42.72 ncf('1.1',plain,[-(the_carrier(incl_POSet(680 ^ [])) = 680 ^ []), 680 ^ [] = the_carrier(incl_POSet(680 ^ []))],extension(4 ^ 1,bind([[_112427, _112429], [the_carrier(incl_POSet(680 ^ [])), 680 ^ []]]))).
% 43.30/42.72 ncf('1.1.1',plain,[-(680 ^ [] = the_carrier(incl_POSet(680 ^ []))), 545 : rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ []))), 545 : relation_of2(inclusion_order(680 ^ []), 680 ^ [], 680 ^ [])],extension(541 ^ 2,bind([[_129472, _129474, _129642, _129644], [inclusion_order(680 ^ []), 680 ^ [], the_InternalRel(incl_POSet(680 ^ [])), the_carrier(incl_POSet(680 ^ []))]]))).
% 43.30/42.72 ncf('1.1.1.1',plain,[-(rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ [])))), rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = incl_POSet(680 ^ []), incl_POSet(680 ^ []) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ [])))],extension(10 ^ 5,bind([[_112631, _112633, _112635], [rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ []))), incl_POSet(680 ^ []), rel_str_of(680 ^ [], inclusion_order(680 ^ []))]]))).
% 43.30/42.72 ncf('1.1.1.1.1',plain,[-(rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = incl_POSet(680 ^ [])), incl_POSet(680 ^ []) = rel_str_of(680 ^ [], inclusion_order(680 ^ []))],extension(4 ^ 6,bind([[_112427, _112429], [rel_str_of(680 ^ [], inclusion_order(680 ^ [])), incl_POSet(680 ^ [])]]))).
% 43.30/42.72 ncf('1.1.1.1.1.1',plain,[-(incl_POSet(680 ^ []) = rel_str_of(680 ^ [], inclusion_order(680 ^ [])))],extension(679 ^ 7,bind([[_133957], [680 ^ []]]))).
% 43.30/42.72 ncf('1.1.1.1.2',plain,[-(incl_POSet(680 ^ []) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ [])))), rel_str(incl_POSet(680 ^ [])), strict_rel_str(incl_POSet(680 ^ []))],extension(553 ^ 6,bind([[_129950], [incl_POSet(680 ^ [])]]))).
% 43.30/42.72 ncf('1.1.1.1.2.1',plain,[-(rel_str(incl_POSet(680 ^ [])))],extension(657 ^ 7,bind([[_133295], [680 ^ []]]))).
% 43.30/42.72 ncf('1.1.1.1.2.2',plain,[-(strict_rel_str(incl_POSet(680 ^ [])))],extension(655 ^ 7,bind([[_133250], [680 ^ []]]))).
% 43.30/42.72 ncf('1.1.1.2',plain,[-(relation_of2(inclusion_order(680 ^ []), 680 ^ [], 680 ^ [])), relation_of2_as_subset(inclusion_order(680 ^ []), 680 ^ [], 680 ^ [])],extension(572 ^ 3,bind([[_130614, _130616, _130618], [inclusion_order(680 ^ []), 680 ^ [], 680 ^ []]]))).
% 43.30/42.72 ncf('1.1.1.2.1',plain,[-(relation_of2_as_subset(inclusion_order(680 ^ []), 680 ^ [], 680 ^ []))],extension(653 ^ 4,bind([[_133141], [680 ^ []]]))).
% 43.30/42.72 ncf('1.2',plain,[-(the_InternalRel(incl_POSet(680 ^ [])) = inclusion_order(680 ^ [])), inclusion_order(680 ^ []) = the_InternalRel(incl_POSet(680 ^ []))],extension(4 ^ 1,bind([[_112427, _112429], [the_InternalRel(incl_POSet(680 ^ [])), inclusion_order(680 ^ [])]]))).
% 43.30/42.72 ncf('1.2.1',plain,[-(inclusion_order(680 ^ []) = the_InternalRel(incl_POSet(680 ^ []))), 545 : rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ []))), 545 : relation_of2(inclusion_order(680 ^ []), 680 ^ [], 680 ^ [])],extension(541 ^ 2,bind([[_129472, _129474, _129642, _129644], [inclusion_order(680 ^ []), 680 ^ [], the_InternalRel(incl_POSet(680 ^ [])), the_carrier(incl_POSet(680 ^ []))]]))).
% 43.30/42.72 ncf('1.2.1.1',plain,[-(rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ [])))), rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = incl_POSet(680 ^ []), incl_POSet(680 ^ []) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ [])))],extension(10 ^ 5,bind([[_112631, _112633, _112635], [rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ []))), incl_POSet(680 ^ []), rel_str_of(680 ^ [], inclusion_order(680 ^ []))]]))).
% 43.30/42.72 ncf('1.2.1.1.1',plain,[-(rel_str_of(680 ^ [], inclusion_order(680 ^ [])) = incl_POSet(680 ^ [])), incl_POSet(680 ^ []) = rel_str_of(680 ^ [], inclusion_order(680 ^ []))],extension(4 ^ 6,bind([[_112427, _112429], [rel_str_of(680 ^ [], inclusion_order(680 ^ [])), incl_POSet(680 ^ [])]]))).
% 43.30/42.72 ncf('1.2.1.1.1.1',plain,[-(incl_POSet(680 ^ []) = rel_str_of(680 ^ [], inclusion_order(680 ^ [])))],extension(679 ^ 7,bind([[_133957], [680 ^ []]]))).
% 43.30/42.72 ncf('1.2.1.1.2',plain,[-(incl_POSet(680 ^ []) = rel_str_of(the_carrier(incl_POSet(680 ^ [])), the_InternalRel(incl_POSet(680 ^ [])))), rel_str(incl_POSet(680 ^ [])), strict_rel_str(incl_POSet(680 ^ []))],extension(553 ^ 6,bind([[_129950], [incl_POSet(680 ^ [])]]))).
% 43.30/42.72 ncf('1.2.1.1.2.1',plain,[-(rel_str(incl_POSet(680 ^ [])))],extension(657 ^ 7,bind([[_133295], [680 ^ []]]))).
% 43.30/42.72 ncf('1.2.1.1.2.2',plain,[-(strict_rel_str(incl_POSet(680 ^ [])))],extension(655 ^ 7,bind([[_133250], [680 ^ []]]))).
% 43.30/42.72 ncf('1.2.1.2',plain,[-(relation_of2(inclusion_order(680 ^ []), 680 ^ [], 680 ^ [])), relation_of2_as_subset(inclusion_order(680 ^ []), 680 ^ [], 680 ^ [])],extension(572 ^ 3,bind([[_130614, _130616, _130618], [inclusion_order(680 ^ []), 680 ^ [], 680 ^ []]]))).
% 43.30/42.72 ncf('1.2.1.2.1',plain,[-(relation_of2_as_subset(inclusion_order(680 ^ []), 680 ^ [], 680 ^ []))],extension(653 ^ 4,bind([[_133141], [680 ^ []]]))).
% 43.30/42.72 %-----------------------------------------------------
% 43.30/42.72 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------