TSTP Solution File: SEU328+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : SEU328+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n032.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 12:03:09 EDT 2023
% Result : Theorem 280.82s 272.78s
% Output : Proof 280.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SEU328+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.09 % Command : nanocop.sh %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Thu May 18 13:11:34 EDT 2023
% 0.08/0.28 % CPUTime :
% 280.82/272.78
% 280.82/272.78 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 280.82/272.78 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 280.82/272.78 %-----------------------------------------------------
% 280.82/272.78 ncf(matrix, plain, [(490 ^ _118845) ^ [_134952, _134954] : [element(_134952, powerset(powerset(_134954))), -(element(union_of_subsets(_134954, _134952), powerset(_134954)))], (529 ^ _118845) ^ [_136302, _136304] : [v1_membered(_136304), -(v1_membered(set_difference(_136304, _136302)))], (744 ^ _118845) ^ [] : [union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))], (4 ^ _118845) ^ [_119096, _119098] : [_119098 = _119096, -(_119096 = _119098)], (110 ^ _118845) ^ [_122268, _122270] : [-(v5_membered(_122268)), _122270 = _122268, v5_membered(_122270)], (535 ^ _118845) ^ [_136514, _136516] : [v2_membered(_136516), 538 ^ _118845 : [(541 ^ _118845) ^ [] : [-(v2_membered(set_difference(_136516, _136514)))], (539 ^ _118845) ^ [] : [-(v1_membered(set_difference(_136516, _136514)))]]], (591 ^ _118845) ^ [_138474, _138476] : [element(_138474, powerset(_138476)), -(subset_complement(_138476, subset_complement(_138476, _138474)) = _138474)], (214 ^ _118845) ^ [_125731, _125733] : [_125733 = _125731, -(powerset(_125733) = powerset(_125731))], (386 ^ _118845) ^ [_131772] : [v4_membered(_131772), 389 ^ _118845 : [(390 ^ _118845) ^ [_131919] : [element(_131919, powerset(_131772)), 393 ^ _118845 : [(396 ^ _118845) ^ [] : [-(v2_membered(_131919))], (398 ^ _118845) ^ [] : [-(v3_membered(_131919))], (400 ^ _118845) ^ [] : [-(v4_membered(_131919))], (394 ^ _118845) ^ [] : [-(v1_membered(_131919))]]]]], (172 ^ _118845) ^ [_124202, _124204] : [_124204 = _124202, -(union(_124204) = union(_124202))], (402 ^ _118845) ^ [_132341] : [v5_membered(_132341), -(v4_membered(_132341))], (512 ^ _118845) ^ [_135751, _135753] : [element(_135751, powerset(powerset(_135753))), -(element(complements_of_subsets(_135753, _135751), powerset(powerset(_135753))))], (204 ^ _118845) ^ [_125400, _125402, _125404, _125406] : [-(set_difference(_125406, _125402) = set_difference(_125404, _125400)), _125406 = _125404, _125402 = _125400], (230 ^ _118845) ^ [_126336, _126338, _126340, _126342] : [-(complements_of_subsets(_126342, _126338) = complements_of_subsets(_126340, _126336)), _126342 = _126340, _126338 = _126336], (70 ^ _118845) ^ [_121088, _121090] : [-(v1_membered(_121088)), _121090 = _121088, v1_membered(_121090)], (426 ^ _118845) ^ [_133173] : [v4_membered(_133173), -(v3_membered(_133173))], (502 ^ _118845) ^ [_135422, _135424, _135426] : [-(element(subset_difference(_135426, _135424, _135422), powerset(_135426))), element(_135424, powerset(_135426)), element(_135422, powerset(_135426))], (597 ^ _118845) ^ [_138700, _138702] : [element(_138700, powerset(powerset(_138702))), -(complements_of_subsets(_138702, complements_of_subsets(_138702, _138700)) = _138700)], (740 ^ _118845) ^ [] : [-(element(738 ^ [], powerset(powerset(737 ^ []))))], (318 ^ _118845) ^ [_129421] : [v5_membered(_129421), 321 ^ _118845 : [(322 ^ _118845) ^ [_129571] : [element(_129571, _129421), 325 ^ _118845 : [(332 ^ _118845) ^ [] : [-(v1_int_1(_129571))], (326 ^ _118845) ^ [] : [-(v1_xcmplx_0(_129571))], (330 ^ _118845) ^ [] : [-(v1_xreal_0(_129571))], (334 ^ _118845) ^ [] : [-(v1_rat_1(_129571))], (328 ^ _118845) ^ [] : [-(natural(_129571))]]]]], (478 ^ _118845) ^ [] : [true___, -(true___)], (672 ^ _118845) ^ [_141366, _141368] : [element(_141368, powerset(_141366)), -(subset(_141368, _141366))], (589 ^ _118845) ^ [] : [-(v5_membered(empty_set))], (696 ^ _118845) ^ [_142183, _142185, _142187] : [-(element(_142187, _142183)), in(_142187, _142185), element(_142185, powerset(_142183))], (606 ^ _118845) ^ [] : [-(v1_membered(602 ^ []))], (608 ^ _118845) ^ [] : [-(v2_membered(602 ^ []))], (684 ^ _118845) ^ [_141748, _141750] : [element(_141748, powerset(powerset(_141750))), -(_141748 = empty_set), -(union_of_subsets(_141750, complements_of_subsets(_141750, _141748)) = subset_difference(_141750, cast_to_subset(_141750), meet_of_subsets(_141750, _141748)))], (742 ^ _118845) ^ [] : [738 ^ [] = empty_set], (148 ^ _118845) ^ [_123451, _123453] : [-(empty(_123451)), _123453 = _123451, empty(_123453)], (458 ^ _118845) ^ [] : [true___, -(true___)], (10 ^ _118845) ^ [_119300, _119302, _119304] : [-(_119304 = _119300), _119304 = _119302, _119302 = _119300], (660 ^ _118845) ^ [_140958, _140960] : [element(_140960, _140958), -(empty(_140958)), -(in(_140960, _140958))], (722 ^ _118845) ^ [_143008, _143010] : [in(_143010, _143008), empty(_143008)], (614 ^ _118845) ^ [] : [-(v5_membered(602 ^ []))], (579 ^ _118845) ^ [] : [-(empty(empty_set))], (432 ^ _118845) ^ [_133359] : [v3_membered(_133359), -(v2_membered(_133359))], (616 ^ _118845) ^ [_139306] : [-(empty(_139306)), 620 ^ _118845 : [(623 ^ _118845) ^ [] : [empty(619 ^ [_139306])], (621 ^ _118845) ^ [] : [-(element(619 ^ [_139306], powerset(_139306)))]]], (652 ^ _118845) ^ [_140639, _140641] : [-(subset(_140641, _140641))], (630 ^ _118845) ^ [_139853, _139855] : [element(_139853, powerset(powerset(_139855))), -(union_of_subsets(_139855, _139853) = union(_139853))], (583 ^ _118845) ^ [] : [-(v2_membered(empty_set))], (678 ^ _118845) ^ [_141532, _141534] : [subset(_141534, _141532), -(element(_141534, powerset(_141532)))], (587 ^ _118845) ^ [] : [-(v4_membered(empty_set))], (360 ^ _118845) ^ [_130865] : [v2_membered(_130865), 363 ^ _118845 : [(364 ^ _118845) ^ [_131002] : [element(_131002, powerset(_130865)), 367 ^ _118845 : [(370 ^ _118845) ^ [] : [-(v2_membered(_131002))], (368 ^ _118845) ^ [] : [-(v1_membered(_131002))]]]]], (408 ^ _118845) ^ [_132527] : [v5_membered(_132527), 411 ^ _118845 : [(412 ^ _118845) ^ [_132679] : [element(_132679, powerset(_132527)), 415 ^ _118845 : [(422 ^ _118845) ^ [] : [-(v4_membered(_132679))], (416 ^ _118845) ^ [] : [-(v1_membered(_132679))], (420 ^ _118845) ^ [] : [-(v3_membered(_132679))], (424 ^ _118845) ^ [] : [-(v5_membered(_132679))], (418 ^ _118845) ^ [] : [-(v2_membered(_132679))]]]]], (120 ^ _118845) ^ [_122591, _122593, _122595, _122597] : [-(subset(_122595, _122591)), subset(_122597, _122593), _122597 = _122595, _122593 = _122591], (612 ^ _118845) ^ [] : [-(v4_membered(602 ^ []))], (50 ^ _118845) ^ [_120498, _120500] : [-(v1_int_1(_120498)), _120500 = _120498, v1_int_1(_120500)], (518 ^ _118845) ^ [] : [true___, -(true___)], (716 ^ _118845) ^ [_142806] : [empty(_142806), -(_142806 = empty_set)], (288 ^ _118845) ^ [_128372] : [v3_membered(_128372), 291 ^ _118845 : [(292 ^ _118845) ^ [_128512] : [element(_128512, _128372), 295 ^ _118845 : [(296 ^ _118845) ^ [] : [-(v1_xcmplx_0(_128512))], (300 ^ _118845) ^ [] : [-(v1_rat_1(_128512))], (298 ^ _118845) ^ [] : [-(v1_xreal_0(_128512))]]]]], (90 ^ _118845) ^ [_121678, _121680] : [-(v3_membered(_121678)), _121680 = _121678, v3_membered(_121680)], (452 ^ _118845) ^ [] : [true___, -(true___)], (527 ^ _118845) ^ [_136194] : [empty(powerset(_136194))], (604 ^ _118845) ^ [] : [empty(602 ^ [])], (198 ^ _118845) ^ [_125154, _125156] : [_125156 = _125154, -(cast_to_subset(_125156) = cast_to_subset(_125154))], (80 ^ _118845) ^ [_121383, _121385] : [-(v2_membered(_121383)), _121385 = _121383, v2_membered(_121385)], (628 ^ _118845) ^ [_139740] : [-(empty(624 ^ [_139740]))], (350 ^ _118845) ^ [_130528] : [v1_membered(_130528), 353 ^ _118845 : [(354 ^ _118845) ^ [_130660] : [element(_130660, powerset(_130528)), -(v1_membered(_130660))]]], (372 ^ _118845) ^ [_131280] : [v3_membered(_131280), 375 ^ _118845 : [(376 ^ _118845) ^ [_131422] : [element(_131422, powerset(_131280)), 379 ^ _118845 : [(380 ^ _118845) ^ [] : [-(v1_membered(_131422))], (384 ^ _118845) ^ [] : [-(v3_membered(_131422))], (382 ^ _118845) ^ [] : [-(v2_membered(_131422))]]]]], (581 ^ _118845) ^ [] : [-(v1_membered(empty_set))], (728 ^ _118845) ^ [_143195, _143197] : [empty(_143197), -(_143197 = _143195), empty(_143195)], (240 ^ _118845) ^ [_126695, _126697, _126699, _126701] : [-(subset_complement(_126701, _126697) = subset_complement(_126699, _126695)), _126701 = _126699, _126697 = _126695], (626 ^ _118845) ^ [_139689] : [-(element(624 ^ [_139689], powerset(_139689)))], (60 ^ _118845) ^ [_120793, _120795] : [-(v1_rat_1(_120793)), _120795 = _120793, v1_rat_1(_120795)], (543 ^ _118845) ^ [_136805, _136807] : [v3_membered(_136807), 546 ^ _118845 : [(547 ^ _118845) ^ [] : [-(v1_membered(set_difference(_136807, _136805)))], (551 ^ _118845) ^ [] : [-(v3_membered(set_difference(_136807, _136805)))], (549 ^ _118845) ^ [] : [-(v2_membered(set_difference(_136807, _136805)))]]], (464 ^ _118845) ^ [] : [true___, -(true___)], (553 ^ _118845) ^ [_137174, _137176] : [v4_membered(_137176), 556 ^ _118845 : [(559 ^ _118845) ^ [] : [-(v2_membered(set_difference(_137176, _137174)))], (561 ^ _118845) ^ [] : [-(v3_membered(set_difference(_137176, _137174)))], (563 ^ _118845) ^ [] : [-(v4_membered(set_difference(_137176, _137174)))], (557 ^ _118845) ^ [] : [-(v1_membered(set_difference(_137176, _137174)))]]], (470 ^ _118845) ^ [_134379] : [-(element(cast_to_subset(_134379), powerset(_134379)))], (30 ^ _118845) ^ [_119908, _119910] : [-(natural(_119908)), _119910 = _119908, natural(_119910)], (20 ^ _118845) ^ [_119613, _119615] : [-(v1_xcmplx_0(_119613)), _119615 = _119613, v1_xcmplx_0(_119615)], (260 ^ _118845) ^ [_127435, _127437] : [in(_127437, _127435), in(_127435, _127437)], (565 ^ _118845) ^ [_137621, _137623] : [v5_membered(_137623), 568 ^ _118845 : [(575 ^ _118845) ^ [] : [-(v4_membered(set_difference(_137623, _137621)))], (569 ^ _118845) ^ [] : [-(v1_membered(set_difference(_137623, _137621)))], (573 ^ _118845) ^ [] : [-(v3_membered(set_difference(_137623, _137621)))], (577 ^ _118845) ^ [] : [-(v5_membered(set_difference(_137623, _137621)))], (571 ^ _118845) ^ [] : [-(v2_membered(set_difference(_137623, _137621)))]]], (444 ^ _118845) ^ [_133716] : [-(cast_to_subset(_133716) = _133716)], (654 ^ _118845) ^ [_140748, _140750] : [in(_140750, _140748), -(element(_140750, _140748))], (642 ^ _118845) ^ [_140323, _140325, _140327] : [-(subset_difference(_140327, _140325, _140323) = set_difference(_140325, _140323)), element(_140325, powerset(_140327)), element(_140323, powerset(_140327))], (438 ^ _118845) ^ [_133545] : [v2_membered(_133545), -(v1_membered(_133545))], (496 ^ _118845) ^ [_135180, _135182] : [element(_135180, powerset(powerset(_135182))), -(element(meet_of_subsets(_135182, _135180), powerset(_135182)))], (134 ^ _118845) ^ [_123035, _123037, _123039, _123041] : [-(in(_123039, _123035)), in(_123041, _123037), _123041 = _123039, _123037 = _123035], (694 ^ _118845) ^ [_142059] : [-(set_difference(empty_set, _142059) = empty_set)], (276 ^ _118845) ^ [_127963] : [v2_membered(_127963), 279 ^ _118845 : [(280 ^ _118845) ^ [_128098] : [element(_128098, _127963), 283 ^ _118845 : [(286 ^ _118845) ^ [] : [-(v1_xreal_0(_128098))], (284 ^ _118845) ^ [] : [-(v1_xcmplx_0(_128098))]]]]], (158 ^ _118845) ^ [_123754, _123756, _123758, _123760] : [-(element(_123758, _123754)), element(_123760, _123756), _123760 = _123758, _123756 = _123754], (472 ^ _118845) ^ [_134490, _134492] : [element(_134490, powerset(_134492)), -(element(subset_complement(_134492, _134490), powerset(_134492)))], (636 ^ _118845) ^ [_140081, _140083] : [element(_140081, powerset(powerset(_140083))), -(meet_of_subsets(_140083, _140081) = set_meet(_140081))], (706 ^ _118845) ^ [_142510, _142512, _142514] : [in(_142514, _142512), element(_142512, powerset(_142510)), empty(_142510)], (446 ^ _118845) ^ [_133825, _133827] : [element(_133825, powerset(_133827)), -(subset_complement(_133827, _133825) = set_difference(_133827, _133825))], (2 ^ _118845) ^ [_118989] : [-(_118989 = _118989)], (100 ^ _118845) ^ [_121973, _121975] : [-(v4_membered(_121973)), _121975 = _121973, v4_membered(_121975)], (302 ^ _118845) ^ [_128858] : [v4_membered(_128858), 305 ^ _118845 : [(306 ^ _118845) ^ [_129003] : [element(_129003, _128858), 309 ^ _118845 : [(312 ^ _118845) ^ [] : [-(v1_xreal_0(_129003))], (314 ^ _118845) ^ [] : [-(v1_int_1(_129003))], (316 ^ _118845) ^ [] : [-(v1_rat_1(_129003))], (310 ^ _118845) ^ [] : [-(v1_xcmplx_0(_129003))]]]]], (670 ^ _118845) ^ [_141227] : [-(set_difference(_141227, empty_set) = _141227)], (178 ^ _118845) ^ [_124420, _124422] : [_124422 = _124420, -(set_meet(_124422) = set_meet(_124420))], (266 ^ _118845) ^ [_127632] : [v1_membered(_127632), 269 ^ _118845 : [(270 ^ _118845) ^ [_127762] : [element(_127762, _127632), -(v1_xcmplx_0(_127762))]]], (610 ^ _118845) ^ [] : [-(v3_membered(602 ^ []))], (220 ^ _118845) ^ [_125977, _125979, _125981, _125983] : [-(union_of_subsets(_125983, _125979) = union_of_subsets(_125981, _125977)), _125983 = _125981, _125979 = _125977], (484 ^ _118845) ^ [] : [true___, -(true___)], (525 ^ _118845) ^ [_136112] : [-(element(523 ^ [_136112], _136112))], (184 ^ _118845) ^ [_124694, _124696, _124698, _124700, _124702, _124704] : [-(subset_difference(_124704, _124700, _124696) = subset_difference(_124702, _124698, _124694)), _124704 = _124702, _124700 = _124698, _124696 = _124694], (40 ^ _118845) ^ [_120203, _120205] : [-(v1_xreal_0(_120203)), _120205 = _120203, v1_xreal_0(_120205)], (336 ^ _118845) ^ [_130061] : [empty(_130061), 339 ^ _118845 : [(346 ^ _118845) ^ [] : [-(v4_membered(_130061))], (340 ^ _118845) ^ [] : [-(v1_membered(_130061))], (344 ^ _118845) ^ [] : [-(v3_membered(_130061))], (348 ^ _118845) ^ [] : [-(v5_membered(_130061))], (342 ^ _118845) ^ [] : [-(v2_membered(_130061))]]], (250 ^ _118845) ^ [_127034, _127036, _127038, _127040] : [-(meet_of_subsets(_127040, _127036) = meet_of_subsets(_127038, _127034)), _127040 = _127038, _127036 = _127034], (585 ^ _118845) ^ [] : [-(v3_membered(empty_set))]], input).
% 280.82/272.79 ncf('1',plain,[union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))],start(744 ^ 0)).
% 280.82/272.79 ncf('1.1',plain,[-(union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))), union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))],extension(10 ^ 1,bind([[_119300, _119302, _119304], [subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])), union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.1',plain,[-(union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))],extension(4 ^ 2,bind([[_119096, _119098], [union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.1.1',plain,[-(subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])), union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))],extension(10 ^ 3,bind([[_119300, _119302, _119304], [union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])), union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.1.1.1',plain,[-(subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))), union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))],extension(4 ^ 4,bind([[_119096, _119098], [subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])), union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.1.1.1.1',plain,[-(union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))), element(738 ^ [], powerset(powerset(737 ^ []))), -(738 ^ [] = empty_set)],extension(684 ^ 5,bind([[_141748, _141750], [738 ^ [], 737 ^ []]]))).
% 280.82/272.79 ncf('1.1.1.1.1.1.1',plain,[-(element(738 ^ [], powerset(powerset(737 ^ []))))],extension(740 ^ 6)).
% 280.82/272.79 ncf('1.1.1.1.1.1.2',plain,[738 ^ [] = empty_set],extension(742 ^ 6)).
% 280.82/272.79 ncf('1.1.1.1.2',plain,[-(union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])) = union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ [])))],extension(2 ^ 4,bind([[_118989], [union_of_subsets(737 ^ [], complements_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.2',plain,[-(subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])), set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))],extension(10 ^ 2,bind([[_119300, _119302, _119304], [subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])), set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.2.1',plain,[-(subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])), set_difference(cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))],extension(10 ^ 3,bind([[_119300, _119302, _119304], [set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])), set_difference(cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])), subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.2.1.1',plain,[-(subset_difference(737 ^ [], cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ []))), element(cast_to_subset(737 ^ []), powerset(737 ^ [])), element(meet_of_subsets(737 ^ [], 738 ^ []), powerset(737 ^ []))],extension(642 ^ 4,bind([[_140323, _140325, _140327], [meet_of_subsets(737 ^ [], 738 ^ []), cast_to_subset(737 ^ []), 737 ^ []]]))).
% 280.82/272.79 ncf('1.1.2.1.1.1',plain,[-(element(cast_to_subset(737 ^ []), powerset(737 ^ [])))],extension(470 ^ 5,bind([[_134379], [737 ^ []]]))).
% 280.82/272.79 ncf('1.1.2.1.1.2',plain,[-(element(meet_of_subsets(737 ^ [], 738 ^ []), powerset(737 ^ []))), element(738 ^ [], powerset(powerset(737 ^ [])))],extension(496 ^ 5,bind([[_135180, _135182], [738 ^ [], 737 ^ []]]))).
% 280.82/272.79 ncf('1.1.2.1.1.2.1',plain,[-(element(738 ^ [], powerset(powerset(737 ^ []))))],extension(740 ^ 6)).
% 280.82/272.79 ncf('1.1.2.1.2',plain,[-(set_difference(cast_to_subset(737 ^ []), meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))), cast_to_subset(737 ^ []) = 737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []) = meet_of_subsets(737 ^ [], 738 ^ [])],extension(204 ^ 4,bind([[_125400, _125402, _125404, _125406], [meet_of_subsets(737 ^ [], 738 ^ []), meet_of_subsets(737 ^ [], 738 ^ []), 737 ^ [], cast_to_subset(737 ^ [])]]))).
% 280.82/272.79 ncf('1.1.2.1.2.1',plain,[-(cast_to_subset(737 ^ []) = 737 ^ [])],extension(444 ^ 5,bind([[_133716], [737 ^ []]]))).
% 280.82/272.79 ncf('1.1.2.1.2.2',plain,[-(meet_of_subsets(737 ^ [], 738 ^ []) = meet_of_subsets(737 ^ [], 738 ^ []))],extension(2 ^ 5,bind([[_118989], [meet_of_subsets(737 ^ [], 738 ^ [])]]))).
% 280.82/272.79 ncf('1.1.2.2',plain,[-(set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])) = subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))), subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))],extension(4 ^ 3,bind([[_119096, _119098], [set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])), subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))]]))).
% 280.82/272.79 ncf('1.1.2.2.1',plain,[-(subset_complement(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ [])) = set_difference(737 ^ [], meet_of_subsets(737 ^ [], 738 ^ []))), element(meet_of_subsets(737 ^ [], 738 ^ []), powerset(737 ^ []))],extension(446 ^ 4,bind([[_133825, _133827], [meet_of_subsets(737 ^ [], 738 ^ []), 737 ^ []]]))).
% 280.82/272.79 ncf('1.1.2.2.1.1',plain,[-(element(meet_of_subsets(737 ^ [], 738 ^ []), powerset(737 ^ []))), element(738 ^ [], powerset(powerset(737 ^ [])))],extension(496 ^ 5,bind([[_135180, _135182], [738 ^ [], 737 ^ []]]))).
% 280.82/272.79 ncf('1.1.2.2.1.1.1',plain,[-(element(738 ^ [], powerset(powerset(737 ^ []))))],extension(740 ^ 6)).
% 280.82/272.79 %-----------------------------------------------------
% 280.82/272.79 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------