%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 49.40s 48.01s
% Output   : Proof 49.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 12:47:12 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 49.40/48.01  
% 49.40/48.01  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 49.40/48.01  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.40/48.01  %-----------------------------------------------------
% 49.40/48.01  ncf(matrix, plain, [(707 ^ _126109) ^ [] : [empty_carrier(705 ^ [])], (712 ^ _126109) ^ [] : [-(element(710 ^ [], powerset(powerset(the_carrier(705 ^ [])))))], (716 ^ _126109) ^ [] : [-(710 ^ [] = empty_set)], (714 ^ _126109) ^ [] : [-(is_a_cover_of_carrier(705 ^ [], 710 ^ []))], (709 ^ _126109) ^ [] : [-(one_sorted_str(705 ^ []))], !, (590 ^ _102977) ^ [] : [-(v3_membered(582 ^ []))], (571 ^ _102977) ^ [] : [-(empty(empty_set))], (561 ^ _102977) ^ [_121176] : [empty(cast_as_carrier_subset(_121176)), -(empty_carrier(_121176)), one_sorted_str(_121176)], (4 ^ _102977) ^ [_103208, _103210] : [_103210 = _103208, -(_103208 = _103210)], (684 ^ _102977) ^ [_125167] : [empty(_125167), -(_125167 = empty_set)], (298 ^ _102977) ^ [_112605] : [v5_membered(_112605), 301 ^ _102977 : [(302 ^ _102977) ^ [_112755] : [element(_112755, _112605), 305 ^ _102977 : [(306 ^ _102977) ^ [] : [-(v1_xcmplx_0(_112755))], (310 ^ _102977) ^ [] : [-(v1_xreal_0(_112755))], (314 ^ _102977) ^ [] : [-(v1_rat_1(_112755))], (312 ^ _102977) ^ [] : [-(v1_int_1(_112755))], (308 ^ _102977) ^ [] : [-(natural(_112755))]]]]], (60 ^ _102977) ^ [_104905, _104907] : [-(v1_rat_1(_104905)), _104907 = _104905, v1_rat_1(_104907)], (594 ^ _102977) ^ [] : [-(v5_membered(582 ^ []))], (412 ^ _102977) ^ [_116543] : [v3_membered(_116543), -(v2_membered(_116543))], (577 ^ _102977) ^ [] : [-(v3_membered(empty_set))], (525 ^ _102977) ^ [] : [true___, -(true___)], (10 ^ _102977) ^ [_103412, _103414, _103416] : [-(_103416 = _103412), _103416 = _103414, _103414 = _103412], (90 ^ _102977) ^ [_105790, _105792] : [-(v3_membered(_105790)), _105792 = _105790, v3_membered(_105792)], (495 ^ _102977) ^ [] : [true___, -(true___)], (134 ^ _102977) ^ [_107147, _107149, _107151, _107153] : [-(in(_107151, _107147)), in(_107153, _107149), _107153 = _107151, _107149 = _107147], (519 ^ _102977) ^ [_120039, _120041] : [element(_120039, powerset(powerset(_120041))), -(element(union_of_subsets(_120041, _120039), powerset(_120041)))], (664 ^ _102977) ^ [_124544, _124546, _124548] : [-(element(_124548, _124544)), in(_124548, _124546), element(_124546, powerset(_124544))], (652 ^ _102977) ^ [_124148, _124150] : [element(_124150, powerset(_124148)), -(subset(_124150, _124148))], (20 ^ _102977) ^ [_103725, _103727] : [-(v1_xcmplx_0(_103725)), _103727 = _103725, v1_xcmplx_0(_103727)], (592 ^ _102977) ^ [] : [-(v4_membered(582 ^ []))], (547 ^ _102977) ^ [_120723] : [-(element(545 ^ [_120723], _120723))], (696 ^ _102977) ^ [_125556, _125558] : [empty(_125558), -(_125558 = _125556), empty(_125556)], (636 ^ _102977) ^ [_123611, _123613] : [in(_123613, _123611), -(element(_123613, _123611))], (30 ^ _102977) ^ [_104020, _104022] : [-(natural(_104020)), _104022 = _104020, natural(_104022)], (80 ^ _102977) ^ [_105495, _105497] : [-(v2_membered(_105495)), _105497 = _105495, v2_membered(_105497)], (634 ^ _102977) ^ [_123502, _123504] : [-(subset(_123504, _123504))], (537 ^ _102977) ^ [] : [true___, -(true___)], (158 ^ _102977) ^ [_107858, _107860] : [-(empty_carrier(_107858)), _107860 = _107858, empty_carrier(_107860)], (531 ^ _102977) ^ [] : [true___, -(true___)], (658 ^ _102977) ^ [_124314, _124316] : [subset(_124316, _124314), -(element(_124316, powerset(_124314)))], (584 ^ _102977) ^ [] : [empty(582 ^ [])], (596 ^ _102977) ^ [_122171] : [-(empty(_122171)), 600 ^ _102977 : [(603 ^ _102977) ^ [] : [empty(599 ^ [_122171])], (601 ^ _102977) ^ [] : [-(element(599 ^ [_122171], powerset(_122171)))]]], (246 ^ _102977) ^ [_110816] : [v1_membered(_110816), 249 ^ _102977 : [(250 ^ _102977) ^ [_110946] : [element(_110946, _110816), -(v1_xcmplx_0(_110946))]]], (613 ^ _102977) ^ [] : [empty_carrier(609 ^ [])], (507 ^ _102977) ^ [_119706] : [one_sorted_str(_119706), -(element(cast_as_carrier_subset(_119706), powerset(the_carrier(_119706))))], (501 ^ _102977) ^ [] : [true___, -(true___)], (615 ^ _102977) ^ [_122854] : [623 ^ _102977 : [(626 ^ _102977) ^ [] : [empty(622 ^ [_122854])], (624 ^ _102977) ^ [] : [-(element(622 ^ [_122854], powerset(the_carrier(_122854))))]], -(empty_carrier(_122854)), one_sorted_str(_122854)], (330 ^ _102977) ^ [_113712] : [v1_membered(_113712), 333 ^ _102977 : [(334 ^ _102977) ^ [_113844] : [element(_113844, powerset(_113712)), -(v1_membered(_113844))]]], (212 ^ _102977) ^ [_109632, _109634, _109636, _109638] : [-(union_of_subsets(_109638, _109634) = union_of_subsets(_109636, _109632)), _109638 = _109636, _109634 = _109632], (608 ^ _102977) ^ [_122605] : [-(empty(604 ^ [_122605]))], (406 ^ _102977) ^ [_116357] : [v4_membered(_116357), -(v3_membered(_116357))], (206 ^ _102977) ^ [_109386, _109388] : [_109388 = _109386, -(cast_as_carrier_subset(_109388) = cast_as_carrier_subset(_109386))], (573 ^ _102977) ^ [] : [-(v1_membered(empty_set))], (544 ^ _102977) ^ [] : [-(one_sorted_str(542 ^ []))], (234 ^ _102977) ^ [_110379, _110381] : [_110381 = _110379, -(the_carrier(_110381) = the_carrier(_110379))], (148 ^ _102977) ^ [_107563, _107565] : [-(empty(_107563)), _107565 = _107563, empty(_107565)], (40 ^ _102977) ^ [_104315, _104317] : [-(v1_xreal_0(_104315)), _104317 = _104315, v1_xreal_0(_104317)], (120 ^ _102977) ^ [_106703, _106705, _106707, _106709] : [-(subset(_106707, _106703)), subset(_106709, _106705), _106709 = _106707, _106705 = _106703], (453 ^ _102977) ^ [_117999, _118001] : [-(_117999 = union(_118001)), 466 ^ _102977 : [(471 ^ _102977) ^ [] : [in(454 ^ [_117999, _118001], _117999)], (469 ^ _102977) ^ [] : [-(in(465 ^ [_117999, _118001], _118001))], (467 ^ _102977) ^ [] : [-(in(454 ^ [_117999, _118001], 465 ^ [_117999, _118001]))]], 457 ^ _102977 : [(460 ^ _102977) ^ [_118282] : [in(454 ^ [_117999, _118001], _118282), in(_118282, _118001)], (458 ^ _102977) ^ [] : [-(in(454 ^ [_117999, _118001], _117999))]]], (418 ^ _102977) ^ [_116729] : [v2_membered(_116729), -(v1_membered(_116729))], (559 ^ _102977) ^ [_121082] : [empty(powerset(_121082))], (100 ^ _102977) ^ [_106085, _106087] : [-(v4_membered(_106085)), _106087 = _106085, v4_membered(_106087)], (575 ^ _102977) ^ [] : [-(v2_membered(empty_set))], (430 ^ _102977) ^ [_117154, _117156] : [_117154 = union(_117156), 433 ^ _102977 : [(443 ^ _102977) ^ [_117662] : [-(in(_117662, _117154)), 444 ^ _102977 : [(445 ^ _102977) ^ [_117760] : [in(_117662, _117760), in(_117760, _117156)]]], (434 ^ _102977) ^ [_117335] : [in(_117335, _117154), 438 ^ _102977 : [(441 ^ _102977) ^ [] : [-(in(437 ^ [_117154, _117156, _117335], _117156))], (439 ^ _102977) ^ [] : [-(in(_117335, 437 ^ [_117154, _117156, _117335]))]]]]], (690 ^ _102977) ^ [_125369, _125371] : [in(_125371, _125369), empty(_125369)], (581 ^ _102977) ^ [] : [-(v5_membered(empty_set))], (611 ^ _102977) ^ [] : [-(one_sorted_str(609 ^ []))], (586 ^ _102977) ^ [] : [-(v1_membered(582 ^ []))], (2 ^ _102977) ^ [_103101] : [-(_103101 = _103101)], (70 ^ _102977) ^ [_105200, _105202] : [-(v1_membered(_105200)), _105202 = _105200, v1_membered(_105202)], (579 ^ _102977) ^ [] : [-(v4_membered(empty_set))], (228 ^ _102977) ^ [_110181, _110183] : [_110183 = _110181, -(powerset(_110183) = powerset(_110181))], (366 ^ _102977) ^ [_114956] : [v4_membered(_114956), 369 ^ _102977 : [(370 ^ _102977) ^ [_115103] : [element(_115103, powerset(_114956)), 373 ^ _102977 : [(376 ^ _102977) ^ [] : [-(v2_membered(_115103))], (378 ^ _102977) ^ [] : [-(v3_membered(_115103))], (380 ^ _102977) ^ [] : [-(v4_membered(_115103))], (374 ^ _102977) ^ [] : [-(v1_membered(_115103))]]]]], (388 ^ _102977) ^ [_115711] : [v5_membered(_115711), 391 ^ _102977 : [(392 ^ _102977) ^ [_115863] : [element(_115863, powerset(_115711)), 395 ^ _102977 : [(396 ^ _102977) ^ [] : [-(v1_membered(_115863))], (400 ^ _102977) ^ [] : [-(v3_membered(_115863))], (404 ^ _102977) ^ [] : [-(v5_membered(_115863))], (402 ^ _102977) ^ [] : [-(v4_membered(_115863))], (398 ^ _102977) ^ [] : [-(v2_membered(_115863))]]]]], (628 ^ _102977) ^ [_123289, _123291] : [element(_123289, powerset(powerset(_123291))), -(union_of_subsets(_123291, _123289) = union(_123289))], (424 ^ _102977) ^ [_116915] : [one_sorted_str(_116915), -(cast_as_carrier_subset(_116915) = the_carrier(_116915))], (340 ^ _102977) ^ [_114049] : [v2_membered(_114049), 343 ^ _102977 : [(344 ^ _102977) ^ [_114186] : [element(_114186, powerset(_114049)), 347 ^ _102977 : [(350 ^ _102977) ^ [] : [-(v2_membered(_114186))], (348 ^ _102977) ^ [] : [-(v1_membered(_114186))]]]]], (256 ^ _102977) ^ [_111147] : [v2_membered(_111147), 259 ^ _102977 : [(260 ^ _102977) ^ [_111282] : [element(_111282, _111147), 263 ^ _102977 : [(266 ^ _102977) ^ [] : [-(v1_xreal_0(_111282))], (264 ^ _102977) ^ [] : [-(v1_xcmplx_0(_111282))]]]]], (642 ^ _102977) ^ [_123821, _123823] : [element(_123823, _123821), -(empty(_123821)), -(in(_123823, _123821))], (382 ^ _102977) ^ [_115525] : [v5_membered(_115525), -(v4_membered(_115525))], (282 ^ _102977) ^ [_112042] : [v4_membered(_112042), 285 ^ _102977 : [(286 ^ _102977) ^ [_112187] : [element(_112187, _112042), 289 ^ _102977 : [(292 ^ _102977) ^ [] : [-(v1_xreal_0(_112187))], (294 ^ _102977) ^ [] : [-(v1_int_1(_112187))], (296 ^ _102977) ^ [] : [-(v1_rat_1(_112187))], (290 ^ _102977) ^ [] : [-(v1_xcmplx_0(_112187))]]]]], (674 ^ _102977) ^ [_124871, _124873, _124875] : [in(_124875, _124873), element(_124873, powerset(_124871)), empty(_124871)], (606 ^ _102977) ^ [_122554] : [-(element(604 ^ [_122554], powerset(_122554)))], (352 ^ _102977) ^ [_114464] : [v3_membered(_114464), 355 ^ _102977 : [(356 ^ _102977) ^ [_114606] : [element(_114606, powerset(_114464)), 359 ^ _102977 : [(364 ^ _102977) ^ [] : [-(v3_membered(_114606))], (362 ^ _102977) ^ [] : [-(v2_membered(_114606))], (360 ^ _102977) ^ [] : [-(v1_membered(_114606))]]]]], (588 ^ _102977) ^ [] : [-(v2_membered(582 ^ []))], (50 ^ _102977) ^ [_104610, _104612] : [-(v1_int_1(_104610)), _104612 = _104610, v1_int_1(_104612)], (475 ^ _102977) ^ [_118832] : [one_sorted_str(_118832), 478 ^ _102977 : [(479 ^ _102977) ^ [_118982] : [element(_118982, powerset(powerset(the_carrier(_118832)))), 482 ^ _102977 : [(489 ^ _102977) ^ [] : [cast_as_carrier_subset(_118832) = union_of_subsets(the_carrier(_118832), _118982), -(is_a_cover_of_carrier(_118832, _118982))], (483 ^ _102977) ^ [] : [is_a_cover_of_carrier(_118832, _118982), -(cast_as_carrier_subset(_118832) = union_of_subsets(the_carrier(_118832), _118982))]]]]], (168 ^ _102977) ^ [_108153, _108155] : [-(one_sorted_str(_108153)), _108155 = _108153, one_sorted_str(_108155)], (268 ^ _102977) ^ [_111556] : [v3_membered(_111556), 271 ^ _102977 : [(272 ^ _102977) ^ [_111696] : [element(_111696, _111556), 275 ^ _102977 : [(280 ^ _102977) ^ [] : [-(v1_rat_1(_111696))], (278 ^ _102977) ^ [] : [-(v1_xreal_0(_111696))], (276 ^ _102977) ^ [] : [-(v1_xcmplx_0(_111696))]]]]], (513 ^ _102977) ^ [] : [true___, -(true___)], (178 ^ _102977) ^ [_108476, _108478, _108480, _108482] : [-(element(_108480, _108476)), element(_108482, _108478), _108482 = _108480, _108478 = _108476], (240 ^ _102977) ^ [_110619, _110621] : [in(_110621, _110619), in(_110619, _110621)], (192 ^ _102977) ^ [_108900, _108902, _108904, _108906] : [-(is_a_cover_of_carrier(_108904, _108900)), is_a_cover_of_carrier(_108906, _108902), _108906 = _108904, _108902 = _108900], (110 ^ _102977) ^ [_106380, _106382] : [-(v5_membered(_106380)), _106382 = _106380, v5_membered(_106382)], (316 ^ _102977) ^ [_113245] : [empty(_113245), 319 ^ _102977 : [(320 ^ _102977) ^ [] : [-(v1_membered(_113245))], (324 ^ _102977) ^ [] : [-(v3_membered(_113245))], (328 ^ _102977) ^ [] : [-(v5_membered(_113245))], (326 ^ _102977) ^ [] : [-(v4_membered(_113245))], (322 ^ _102977) ^ [] : [-(v2_membered(_113245))]]], (549 ^ _102977) ^ [_120821] : [empty(the_carrier(_120821)), -(empty_carrier(_120821)), one_sorted_str(_120821)], (222 ^ _102977) ^ [_109963, _109965] : [_109965 = _109963, -(union(_109965) = union(_109963))]], input).
% 49.40/48.01  ncf('1',plain,[-(element(710 ^ [], powerset(powerset(the_carrier(705 ^ [])))))],start(712 ^ 0)).
% 49.40/48.01  ncf('1.1',plain,[element(710 ^ [], powerset(powerset(the_carrier(705 ^ [])))), 483 : is_a_cover_of_carrier(705 ^ [], 710 ^ []), 483 : -(cast_as_carrier_subset(705 ^ []) = union_of_subsets(the_carrier(705 ^ []), 710 ^ [])), 479 : one_sorted_str(705 ^ [])],extension(475 ^ 1,bind([[_118832, _118982], [705 ^ [], 710 ^ []]]))).
% 49.40/48.01  ncf('1.1.1',plain,[-(is_a_cover_of_carrier(705 ^ [], 710 ^ []))],extension(714 ^ 6)).
% 49.40/48.01  ncf('1.1.2',plain,[cast_as_carrier_subset(705 ^ []) = union_of_subsets(the_carrier(705 ^ []), 710 ^ []), -(in(545 ^ [cast_as_carrier_subset(705 ^ [])], union_of_subsets(the_carrier(705 ^ []), 710 ^ []))), in(545 ^ [cast_as_carrier_subset(705 ^ [])], cast_as_carrier_subset(705 ^ [])), 545 ^ [cast_as_carrier_subset(705 ^ [])] = 545 ^ [cast_as_carrier_subset(705 ^ [])]],extension(134 ^ 6,bind([[_107147, _107149, _107151, _107153], [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), cast_as_carrier_subset(705 ^ []), 545 ^ [cast_as_carrier_subset(705 ^ [])], 545 ^ [cast_as_carrier_subset(705 ^ [])]]]))).
% 49.40/48.01  ncf('1.1.2.1',plain,[in(545 ^ [cast_as_carrier_subset(705 ^ [])], union_of_subsets(the_carrier(705 ^ []), 710 ^ [])), 441 : -(in(437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]], 710 ^ [])), 434 : union_of_subsets(the_carrier(705 ^ []), 710 ^ []) = union(710 ^ [])],extension(430 ^ 7,bind([[_117154, _117156, _117335], [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]]]))).
% 49.40/48.01  ncf('1.1.2.1.1',plain,[in(437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]], 710 ^ []), -(in(437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]], empty_set)), 437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]] = 437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]], 710 ^ [] = empty_set],extension(134 ^ 12,bind([[_107147, _107149, _107151, _107153], [empty_set, 710 ^ [], 437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]], 437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]]]]))).
% 49.40/48.01  ncf('1.1.2.1.1.1',plain,[in(437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]], empty_set), empty(empty_set)],extension(690 ^ 13,bind([[_125369, _125371], [empty_set, 437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]]]]))).
% 49.40/48.01  ncf('1.1.2.1.1.1.1',plain,[-(empty(empty_set))],extension(571 ^ 14)).
% 49.40/48.01  ncf('1.1.2.1.1.2',plain,[-(437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]] = 437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]])],extension(2 ^ 13,bind([[_103101], [437 ^ [union_of_subsets(the_carrier(705 ^ []), 710 ^ []), 710 ^ [], 545 ^ [cast_as_carrier_subset(705 ^ [])]]]]))).
% 49.40/48.01  ncf('1.1.2.1.1.3',plain,[-(710 ^ [] = empty_set)],extension(716 ^ 13)).
% 49.40/48.01  ncf('1.1.2.1.2',plain,[-(union_of_subsets(the_carrier(705 ^ []), 710 ^ []) = union(710 ^ [])), element(710 ^ [], powerset(powerset(the_carrier(705 ^ []))))],extension(628 ^ 8,bind([[_123289, _123291], [710 ^ [], the_carrier(705 ^ [])]]))).
% 49.40/48.01  ncf('1.1.2.1.2.1',plain,[-(element(710 ^ [], powerset(powerset(the_carrier(705 ^ [])))))],reduction('1')).
% 49.40/48.01  ncf('1.1.2.2',plain,[-(in(545 ^ [cast_as_carrier_subset(705 ^ [])], cast_as_carrier_subset(705 ^ []))), element(545 ^ [cast_as_carrier_subset(705 ^ [])], cast_as_carrier_subset(705 ^ [])), -(empty(cast_as_carrier_subset(705 ^ [])))],extension(642 ^ 7,bind([[_123821, _123823], [cast_as_carrier_subset(705 ^ []), 545 ^ [cast_as_carrier_subset(705 ^ [])]]]))).
% 49.40/48.01  ncf('1.1.2.2.1',plain,[-(element(545 ^ [cast_as_carrier_subset(705 ^ [])], cast_as_carrier_subset(705 ^ [])))],extension(547 ^ 8,bind([[_120723], [cast_as_carrier_subset(705 ^ [])]]))).
% 49.40/48.01  ncf('1.1.2.2.2',plain,[empty(cast_as_carrier_subset(705 ^ [])), -(empty_carrier(705 ^ [])), one_sorted_str(705 ^ [])],extension(561 ^ 8,bind([[_121176], [705 ^ []]]))).
% 49.40/48.01  ncf('1.1.2.2.2.1',plain,[empty_carrier(705 ^ [])],extension(707 ^ 9)).
% 49.40/48.01  ncf('1.1.2.2.2.2',plain,[-(one_sorted_str(705 ^ []))],extension(709 ^ 9)).
% 49.40/48.01  ncf('1.1.2.3',plain,[-(545 ^ [cast_as_carrier_subset(705 ^ [])] = 545 ^ [cast_as_carrier_subset(705 ^ [])]), 545 ^ [cast_as_carrier_subset(705 ^ [])] = 545 ^ [cast_as_carrier_subset(705 ^ [])]],extension(4 ^ 7,bind([[_103208, _103210], [545 ^ [cast_as_carrier_subset(705 ^ [])], 545 ^ [cast_as_carrier_subset(705 ^ [])]]]))).
% 49.40/48.01  ncf('1.1.2.3.1',plain,[-(545 ^ [cast_as_carrier_subset(705 ^ [])] = 545 ^ [cast_as_carrier_subset(705 ^ [])])],extension(2 ^ 8,bind([[_103101], [545 ^ [cast_as_carrier_subset(705 ^ [])]]]))).
% 49.40/48.01  ncf('1.1.3',plain,[-(one_sorted_str(705 ^ []))],extension(709 ^ 2)).
% 49.40/48.01  %-----------------------------------------------------
% 49.40/48.01  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------