TSTP Solution File: TOP028+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 12:39:05 EDT 2023

% Result   : Theorem 0.69s 1.38s
% Output   : Proof 0.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : TOP028+1 : TPTP v8.1.2. Released v3.4.0.
% 0.01/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n031.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 20:24:10 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.69/1.38  
% 0.69/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.69/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/1.38  %-----------------------------------------------------
% 0.69/1.38  ncf(matrix, plain, [(1101 ^ _146433) ^ [] : [v3_struct_0(1099 ^ [])], (1103 ^ _146433) ^ [] : [-(v2_pre_topc(1099 ^ []))], (1105 ^ _146433) ^ [] : [-(l1_pre_topc(1099 ^ []))], (1107 ^ _146433) ^ [_182311] : [m1_subset_1(_182311, k1_zfmisc_1(u1_struct_0(1099 ^ []))), v1_tsp_2(_182311, 1099 ^ [])], (310 ^ _146433) ^ [_156164, _156166] : [_156166 = _156164, -(k1_pre_topc(_156166) = k1_pre_topc(_156164))], (316 ^ _146433) ^ [_156382, _156384] : [_156384 = _156382, -(k1_zfmisc_1(_156384) = k1_zfmisc_1(_156382))], (322 ^ _146433) ^ [_156580, _156582] : [_156582 = _156580, -(u1_struct_0(_156582) = u1_struct_0(_156580))], (2 ^ _146433) ^ [_146577] : [-(_146577 = _146577)], (4 ^ _146433) ^ [_146684, _146686] : [_146686 = _146684, -(_146684 = _146686)], (10 ^ _146433) ^ [_146888, _146890, _146892] : [-(_146892 = _146888), _146892 = _146890, _146890 = _146888], (20 ^ _146433) ^ [_147201, _147203] : [-(v1_xcmplx_0(_147201)), _147203 = _147201, v1_xcmplx_0(_147203)], (30 ^ _146433) ^ [_147496, _147498] : [-(v4_ordinal2(_147496)), _147498 = _147496, v4_ordinal2(_147498)], (40 ^ _146433) ^ [_147791, _147793] : [-(v1_xreal_0(_147791)), _147793 = _147791, v1_xreal_0(_147793)], (50 ^ _146433) ^ [_148086, _148088] : [-(v1_int_1(_148086)), _148088 = _148086, v1_int_1(_148088)], (60 ^ _146433) ^ [_148381, _148383] : [-(v1_rat_1(_148381)), _148383 = _148381, v1_rat_1(_148383)], (70 ^ _146433) ^ [_148676, _148678] : [-(l1_struct_0(_148676)), _148678 = _148676, l1_struct_0(_148678)], (80 ^ _146433) ^ [_148999, _149001, _149003, _149005] : [-(v3_pre_topc(_149003, _148999)), v3_pre_topc(_149005, _149001), _149005 = _149003, _149001 = _148999], (94 ^ _146433) ^ [_149415, _149417] : [-(v1_membered(_149415)), _149417 = _149415, v1_membered(_149417)], (104 ^ _146433) ^ [_149710, _149712] : [-(v2_membered(_149710)), _149712 = _149710, v2_membered(_149712)], (114 ^ _146433) ^ [_150005, _150007] : [-(v3_membered(_150005)), _150007 = _150005, v3_membered(_150007)], (124 ^ _146433) ^ [_150300, _150302] : [-(v4_membered(_150300)), _150302 = _150300, v4_membered(_150302)], (134 ^ _146433) ^ [_150595, _150597] : [-(v5_membered(_150595)), _150597 = _150595, v5_membered(_150597)], (144 ^ _146433) ^ [_150918, _150920, _150922, _150924] : [-(v2_tops_1(_150922, _150918)), v2_tops_1(_150924, _150920), _150924 = _150922, _150920 = _150918], (158 ^ _146433) ^ [_151362, _151364, _151366, _151368] : [-(v3_tops_1(_151366, _151362)), v3_tops_1(_151368, _151364), _151368 = _151366, _151364 = _151362], (172 ^ _146433) ^ [_151806, _151808, _151810, _151812] : [-(v4_pre_topc(_151810, _151806)), v4_pre_topc(_151812, _151808), _151812 = _151810, _151808 = _151806], (186 ^ _146433) ^ [_152250, _152252, _152254, _152256] : [-(v3_tex_2(_152254, _152250)), v3_tex_2(_152256, _152252), _152256 = _152254, _152252 = _152250], (200 ^ _146433) ^ [_152694, _152696, _152698, _152700] : [-(r2_hidden(_152698, _152694)), r2_hidden(_152700, _152696), _152700 = _152698, _152696 = _152694], (214 ^ _146433) ^ [_153110, _153112] : [-(v1_xboole_0(_153110)), _153112 = _153110, v1_xboole_0(_153112)], (224 ^ _146433) ^ [_153433, _153435, _153437, _153439] : [-(v1_tsp_1(_153437, _153433)), v1_tsp_1(_153439, _153435), _153439 = _153437, _153435 = _153433], (238 ^ _146433) ^ [_153877, _153879, _153881, _153883] : [-(r1_tarski(_153881, _153877)), r1_tarski(_153883, _153879), _153883 = _153881, _153879 = _153877], (252 ^ _146433) ^ [_154293, _154295] : [-(v3_struct_0(_154293)), _154295 = _154293, v3_struct_0(_154295)], (262 ^ _146433) ^ [_154588, _154590] : [-(v2_pre_topc(_154588)), _154590 = _154588, v2_pre_topc(_154590)], (272 ^ _146433) ^ [_154883, _154885] : [-(l1_pre_topc(_154883)), _154885 = _154883, l1_pre_topc(_154885)], (282 ^ _146433) ^ [_155206, _155208, _155210, _155212] : [-(m1_subset_1(_155210, _155206)), m1_subset_1(_155212, _155208), _155212 = _155210, _155208 = _155206], (296 ^ _146433) ^ [_155630, _155632, _155634, _155636] : [-(v1_tsp_2(_155634, _155630)), v1_tsp_2(_155636, _155632), _155636 = _155634, _155632 = _155630], (328 ^ _146433) ^ [_156812, _156814] : [r2_hidden(_156814, _156812), r2_hidden(_156812, _156814)], (334 ^ _146433) ^ [_157009] : [v1_membered(_157009), 337 ^ _146433 : [(338 ^ _146433) ^ [_157139] : [m1_subset_1(_157139, _157009), -(v1_xcmplx_0(_157139))]]], (344 ^ _146433) ^ [_157340] : [v2_membered(_157340), 347 ^ _146433 : [(348 ^ _146433) ^ [_157475] : [m1_subset_1(_157475, _157340), 351 ^ _146433 : [(352 ^ _146433) ^ [] : [-(v1_xcmplx_0(_157475))], (354 ^ _146433) ^ [] : [-(v1_xreal_0(_157475))]]]]], (356 ^ _146433) ^ [_157749] : [v3_membered(_157749), 359 ^ _146433 : [(360 ^ _146433) ^ [_157889] : [m1_subset_1(_157889, _157749), 363 ^ _146433 : [(364 ^ _146433) ^ [] : [-(v1_xcmplx_0(_157889))], (366 ^ _146433) ^ [] : [-(v1_xreal_0(_157889))], (368 ^ _146433) ^ [] : [-(v1_rat_1(_157889))]]]]], (370 ^ _146433) ^ [_158235] : [v4_membered(_158235), 373 ^ _146433 : [(374 ^ _146433) ^ [_158380] : [m1_subset_1(_158380, _158235), 377 ^ _146433 : [(378 ^ _146433) ^ [] : [-(v1_xcmplx_0(_158380))], (380 ^ _146433) ^ [] : [-(v1_xreal_0(_158380))], (382 ^ _146433) ^ [] : [-(v1_int_1(_158380))], (384 ^ _146433) ^ [] : [-(v1_rat_1(_158380))]]]]], (386 ^ _146433) ^ [_158798] : [v5_membered(_158798), 389 ^ _146433 : [(390 ^ _146433) ^ [_158948] : [m1_subset_1(_158948, _158798), 393 ^ _146433 : [(394 ^ _146433) ^ [] : [-(v1_xcmplx_0(_158948))], (396 ^ _146433) ^ [] : [-(v4_ordinal2(_158948))], (398 ^ _146433) ^ [] : [-(v1_xreal_0(_158948))], (400 ^ _146433) ^ [] : [-(v1_int_1(_158948))], (402 ^ _146433) ^ [] : [-(v1_rat_1(_158948))]]]]], (404 ^ _146433) ^ [_159438] : [v1_xboole_0(_159438), 407 ^ _146433 : [(408 ^ _146433) ^ [] : [-(v1_membered(_159438))], (410 ^ _146433) ^ [] : [-(v2_membered(_159438))], (412 ^ _146433) ^ [] : [-(v3_membered(_159438))], (414 ^ _146433) ^ [] : [-(v4_membered(_159438))], (416 ^ _146433) ^ [] : [-(v5_membered(_159438))]]], (418 ^ _146433) ^ [_159905] : [v1_membered(_159905), 421 ^ _146433 : [(422 ^ _146433) ^ [_160037] : [m1_subset_1(_160037, k1_zfmisc_1(_159905)), -(v1_membered(_160037))]]], (428 ^ _146433) ^ [_160242] : [v2_membered(_160242), 431 ^ _146433 : [(432 ^ _146433) ^ [_160379] : [m1_subset_1(_160379, k1_zfmisc_1(_160242)), 435 ^ _146433 : [(436 ^ _146433) ^ [] : [-(v1_membered(_160379))], (438 ^ _146433) ^ [] : [-(v2_membered(_160379))]]]]], (440 ^ _146433) ^ [_160657] : [v3_membered(_160657), 443 ^ _146433 : [(444 ^ _146433) ^ [_160799] : [m1_subset_1(_160799, k1_zfmisc_1(_160657)), 447 ^ _146433 : [(448 ^ _146433) ^ [] : [-(v1_membered(_160799))], (450 ^ _146433) ^ [] : [-(v2_membered(_160799))], (452 ^ _146433) ^ [] : [-(v3_membered(_160799))]]]]], (454 ^ _146433) ^ [_161149] : [v4_membered(_161149), 457 ^ _146433 : [(458 ^ _146433) ^ [_161296] : [m1_subset_1(_161296, k1_zfmisc_1(_161149)), 461 ^ _146433 : [(462 ^ _146433) ^ [] : [-(v1_membered(_161296))], (464 ^ _146433) ^ [] : [-(v2_membered(_161296))], (466 ^ _146433) ^ [] : [-(v3_membered(_161296))], (468 ^ _146433) ^ [] : [-(v4_membered(_161296))]]]]], (470 ^ _146433) ^ [_161718] : [v5_membered(_161718), -(v4_membered(_161718))], (476 ^ _146433) ^ [_161904] : [v2_pre_topc(_161904), l1_pre_topc(_161904), 483 ^ _146433 : [(484 ^ _146433) ^ [_162133] : [m1_subset_1(_162133, k1_zfmisc_1(u1_struct_0(_161904))), v1_xboole_0(_162133), 491 ^ _146433 : [(492 ^ _146433) ^ [] : [-(v3_pre_topc(_162133, _161904))], (494 ^ _146433) ^ [] : [-(v4_pre_topc(_162133, _161904))]]]]], (496 ^ _146433) ^ [_162508] : [v5_membered(_162508), 499 ^ _146433 : [(500 ^ _146433) ^ [_162660] : [m1_subset_1(_162660, k1_zfmisc_1(_162508)), 503 ^ _146433 : [(504 ^ _146433) ^ [] : [-(v1_membered(_162660))], (506 ^ _146433) ^ [] : [-(v2_membered(_162660))], (508 ^ _146433) ^ [] : [-(v3_membered(_162660))], (510 ^ _146433) ^ [] : [-(v4_membered(_162660))], (512 ^ _146433) ^ [] : [-(v5_membered(_162660))]]]]], (514 ^ _146433) ^ [_163154] : [v4_membered(_163154), -(v3_membered(_163154))], (520 ^ _146433) ^ [_163340] : [l1_pre_topc(_163340), 523 ^ _146433 : [(524 ^ _146433) ^ [_163480] : [m1_subset_1(_163480, k1_zfmisc_1(u1_struct_0(_163340))), v1_xboole_0(_163480), -(v2_tops_1(_163480, _163340))]]], (534 ^ _146433) ^ [_163778] : [v3_membered(_163778), -(v2_membered(_163778))], (540 ^ _146433) ^ [_163964] : [v2_pre_topc(_163964), l1_pre_topc(_163964), 547 ^ _146433 : [(548 ^ _146433) ^ [_164187] : [m1_subset_1(_164187, k1_zfmisc_1(u1_struct_0(_163964))), v1_xboole_0(_164187), -(v3_tops_1(_164187, _163964))]]], (558 ^ _146433) ^ [_164487] : [v2_membered(_164487), -(v1_membered(_164487))], (564 ^ _146433) ^ [_164673] : [v2_pre_topc(_164673), l1_pre_topc(_164673), 571 ^ _146433 : [(572 ^ _146433) ^ [_164897] : [m1_subset_1(_164897, k1_zfmisc_1(u1_struct_0(_164673))), v3_tops_1(_164897, _164673), -(v2_tops_1(_164897, _164673))]]], (582 ^ _146433) ^ [_165199] : [v2_pre_topc(_165199), l1_pre_topc(_165199), 589 ^ _146433 : [(590 ^ _146433) ^ [_165435] : [m1_subset_1(_165435, k1_zfmisc_1(u1_struct_0(_165199))), 601 ^ _146433 : [(602 ^ _146433) ^ [] : [-(v2_tops_1(_165435, _165199))], (604 ^ _146433) ^ [] : [-(v3_tops_1(_165435, _165199))]], v4_pre_topc(_165435, _165199), v2_tops_1(_165435, _165199)]]], (606 ^ _146433) ^ [_165901] : [v2_pre_topc(_165901), l1_pre_topc(_165901), 613 ^ _146433 : [(614 ^ _146433) ^ [_166179] : [m1_subset_1(_166179, k1_zfmisc_1(u1_struct_0(_165901))), 625 ^ _146433 : [(626 ^ _146433) ^ [] : [-(v1_xboole_0(_166179))], (628 ^ _146433) ^ [] : [-(v3_pre_topc(_166179, _165901))], (630 ^ _146433) ^ [] : [-(v4_pre_topc(_166179, _165901))], (632 ^ _146433) ^ [] : [-(v1_membered(_166179))], (634 ^ _146433) ^ [] : [-(v2_membered(_166179))], (636 ^ _146433) ^ [] : [-(v3_membered(_166179))], (638 ^ _146433) ^ [] : [-(v4_membered(_166179))], (640 ^ _146433) ^ [] : [-(v5_membered(_166179))], (642 ^ _146433) ^ [] : [-(v2_tops_1(_166179, _165901))], (644 ^ _146433) ^ [] : [-(v3_tops_1(_166179, _165901))]], v3_pre_topc(_166179, _165901), v3_tops_1(_166179, _165901)]]], (646 ^ _146433) ^ [_167225] : [l1_struct_0(_167225), -(m1_subset_1(k1_pre_topc(_167225), k1_zfmisc_1(u1_struct_0(_167225))))], (652 ^ _146433) ^ [] : [true___, -(true___)], (658 ^ _146433) ^ [] : [true___, -(true___)], (664 ^ _146433) ^ [_167663] : [l1_pre_topc(_167663), -(l1_struct_0(_167663))], (670 ^ _146433) ^ [] : [true___, -(true___)], (676 ^ _146433) ^ [] : [true___, -(true___)], (682 ^ _146433) ^ [] : [true___, -(true___)], (689 ^ _146433) ^ [] : [-(l1_pre_topc(687 ^ []))], (692 ^ _146433) ^ [] : [-(l1_struct_0(690 ^ []))], (695 ^ _146433) ^ [_168408] : [-(m1_subset_1(693 ^ [_168408], _168408))], (697 ^ _146433) ^ [_168506] : [l1_struct_0(_168506), 700 ^ _146433 : [(701 ^ _146433) ^ [] : [-(v1_xboole_0(k1_pre_topc(_168506)))], (703 ^ _146433) ^ [] : [-(v1_membered(k1_pre_topc(_168506)))], (705 ^ _146433) ^ [] : [-(v2_membered(k1_pre_topc(_168506)))], (707 ^ _146433) ^ [] : [-(v3_membered(k1_pre_topc(_168506)))], (709 ^ _146433) ^ [] : [-(v4_membered(k1_pre_topc(_168506)))], (711 ^ _146433) ^ [] : [-(v5_membered(k1_pre_topc(_168506)))]]], (713 ^ _146433) ^ [_169067] : [v1_xboole_0(u1_struct_0(_169067)), -(v3_struct_0(_169067)), l1_struct_0(_169067)], (723 ^ _146433) ^ [_169328] : [v1_xboole_0(k1_zfmisc_1(_169328))], (725 ^ _146433) ^ [_169422] : [732 ^ _146433 : [(733 ^ _146433) ^ [] : [-(v1_xboole_0(k1_pre_topc(_169422)))], (735 ^ _146433) ^ [] : [-(v4_pre_topc(k1_pre_topc(_169422), _169422))], (737 ^ _146433) ^ [] : [-(v1_membered(k1_pre_topc(_169422)))], (739 ^ _146433) ^ [] : [-(v2_membered(k1_pre_topc(_169422)))], (741 ^ _146433) ^ [] : [-(v3_membered(k1_pre_topc(_169422)))], (743 ^ _146433) ^ [] : [-(v4_membered(k1_pre_topc(_169422)))], (745 ^ _146433) ^ [] : [-(v5_membered(k1_pre_topc(_169422)))]], v2_pre_topc(_169422), l1_pre_topc(_169422)], (747 ^ _146433) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (749 ^ _146433) ^ [] : [-(v1_membered(k1_xboole_0))], (751 ^ _146433) ^ [] : [-(v2_membered(k1_xboole_0))], (753 ^ _146433) ^ [] : [-(v3_membered(k1_xboole_0))], (755 ^ _146433) ^ [] : [-(v4_membered(k1_xboole_0))], (757 ^ _146433) ^ [] : [-(v5_membered(k1_xboole_0))], (759 ^ _146433) ^ [_170470] : [766 ^ _146433 : [(767 ^ _146433) ^ [] : [-(v1_xboole_0(k1_pre_topc(_170470)))], (769 ^ _146433) ^ [] : [-(v3_pre_topc(k1_pre_topc(_170470), _170470))], (771 ^ _146433) ^ [] : [-(v4_pre_topc(k1_pre_topc(_170470), _170470))], (773 ^ _146433) ^ [] : [-(v1_membered(k1_pre_topc(_170470)))], (775 ^ _146433) ^ [] : [-(v2_membered(k1_pre_topc(_170470)))], (777 ^ _146433) ^ [] : [-(v3_membered(k1_pre_topc(_170470)))], (779 ^ _146433) ^ [] : [-(v4_membered(k1_pre_topc(_170470)))], (781 ^ _146433) ^ [] : [-(v5_membered(k1_pre_topc(_170470)))]], v2_pre_topc(_170470), l1_pre_topc(_170470)], (784 ^ _146433) ^ [] : [v1_xboole_0(782 ^ [])], (786 ^ _146433) ^ [] : [-(v1_membered(782 ^ []))], (788 ^ _146433) ^ [] : [-(v2_membered(782 ^ []))], (790 ^ _146433) ^ [] : [-(v3_membered(782 ^ []))], (792 ^ _146433) ^ [] : [-(v4_membered(782 ^ []))], (794 ^ _146433) ^ [] : [-(v5_membered(782 ^ []))], (796 ^ _146433) ^ [_171656] : [-(v1_xboole_0(_171656)), 800 ^ _146433 : [(801 ^ _146433) ^ [] : [-(m1_subset_1(799 ^ [_171656], k1_zfmisc_1(_171656)))], (803 ^ _146433) ^ [] : [v1_xboole_0(799 ^ [_171656])]]], (805 ^ _146433) ^ [_171988] : [813 ^ _146433 : [(814 ^ _146433) ^ [] : [-(m1_subset_1(812 ^ [_171988], k1_zfmisc_1(u1_struct_0(_171988))))], (816 ^ _146433) ^ [] : [-(v3_pre_topc(812 ^ [_171988], _171988))]], v2_pre_topc(_171988), l1_pre_topc(_171988)], (819 ^ _146433) ^ [_172457] : [-(m1_subset_1(817 ^ [_172457], k1_zfmisc_1(_172457)))], (821 ^ _146433) ^ [_172508] : [-(v1_xboole_0(817 ^ [_172508]))], (823 ^ _146433) ^ [_172607] : [831 ^ _146433 : [(832 ^ _146433) ^ [] : [-(m1_subset_1(830 ^ [_172607], k1_zfmisc_1(u1_struct_0(_172607))))], (834 ^ _146433) ^ [] : [-(v3_pre_topc(830 ^ [_172607], _172607))], (836 ^ _146433) ^ [] : [-(v4_pre_topc(830 ^ [_172607], _172607))]], v2_pre_topc(_172607), l1_pre_topc(_172607)], (839 ^ _146433) ^ [] : [-(l1_struct_0(837 ^ []))], (841 ^ _146433) ^ [] : [v3_struct_0(837 ^ [])], (843 ^ _146433) ^ [_173258] : [855 ^ _146433 : [(856 ^ _146433) ^ [] : [-(m1_subset_1(854 ^ [_173258], k1_zfmisc_1(u1_struct_0(_173258))))], (858 ^ _146433) ^ [] : [v1_xboole_0(854 ^ [_173258])], (860 ^ _146433) ^ [] : [-(v3_pre_topc(854 ^ [_173258], _173258))], (862 ^ _146433) ^ [] : [-(v4_pre_topc(854 ^ [_173258], _173258))]], -(v3_struct_0(_173258)), v2_pre_topc(_173258), l1_pre_topc(_173258)], (864 ^ _146433) ^ [_173928] : [l1_pre_topc(_173928), 868 ^ _146433 : [(869 ^ _146433) ^ [] : [-(m1_subset_1(867 ^ [_173928], k1_zfmisc_1(u1_struct_0(_173928))))], (871 ^ _146433) ^ [] : [-(v1_xboole_0(867 ^ [_173928]))], (873 ^ _146433) ^ [] : [-(v1_membered(867 ^ [_173928]))], (875 ^ _146433) ^ [] : [-(v2_membered(867 ^ [_173928]))], (877 ^ _146433) ^ [] : [-(v3_membered(867 ^ [_173928]))], (879 ^ _146433) ^ [] : [-(v4_membered(867 ^ [_173928]))], (881 ^ _146433) ^ [] : [-(v5_membered(867 ^ [_173928]))], (883 ^ _146433) ^ [] : [-(v2_tops_1(867 ^ [_173928], _173928))]]], (885 ^ _146433) ^ [_174743] : [893 ^ _146433 : [(894 ^ _146433) ^ [] : [-(m1_subset_1(892 ^ [_174743], k1_zfmisc_1(u1_struct_0(_174743))))], (896 ^ _146433) ^ [] : [v1_xboole_0(892 ^ [_174743])]], -(v3_struct_0(_174743)), l1_struct_0(_174743)], (898 ^ _146433) ^ [_175164] : [906 ^ _146433 : [(907 ^ _146433) ^ [] : [-(m1_subset_1(905 ^ [_175164], k1_zfmisc_1(u1_struct_0(_175164))))], (909 ^ _146433) ^ [] : [-(v1_xboole_0(905 ^ [_175164]))], (911 ^ _146433) ^ [] : [-(v3_pre_topc(905 ^ [_175164], _175164))], (913 ^ _146433) ^ [] : [-(v4_pre_topc(905 ^ [_175164], _175164))], (915 ^ _146433) ^ [] : [-(v1_membered(905 ^ [_175164]))], (917 ^ _146433) ^ [] : [-(v2_membered(905 ^ [_175164]))], (919 ^ _146433) ^ [] : [-(v3_membered(905 ^ [_175164]))], (921 ^ _146433) ^ [] : [-(v4_membered(905 ^ [_175164]))], (923 ^ _146433) ^ [] : [-(v5_membered(905 ^ [_175164]))], (925 ^ _146433) ^ [] : [-(v2_tops_1(905 ^ [_175164], _175164))], (927 ^ _146433) ^ [] : [-(v3_tops_1(905 ^ [_175164], _175164))]], v2_pre_topc(_175164), l1_pre_topc(_175164)], (929 ^ _146433) ^ [_176311] : [937 ^ _146433 : [(938 ^ _146433) ^ [] : [-(m1_subset_1(936 ^ [_176311], k1_zfmisc_1(u1_struct_0(_176311))))], (940 ^ _146433) ^ [] : [-(v4_pre_topc(936 ^ [_176311], _176311))]], v2_pre_topc(_176311), l1_pre_topc(_176311)], (942 ^ _146433) ^ [_176729] : [954 ^ _146433 : [(955 ^ _146433) ^ [] : [-(m1_subset_1(953 ^ [_176729], k1_zfmisc_1(u1_struct_0(_176729))))], (957 ^ _146433) ^ [] : [v1_xboole_0(953 ^ [_176729])], (959 ^ _146433) ^ [] : [-(v4_pre_topc(953 ^ [_176729], _176729))]], -(v3_struct_0(_176729)), v2_pre_topc(_176729), l1_pre_topc(_176729)], (961 ^ _146433) ^ [_177315, _177317] : [-(r1_tarski(_177317, _177317))], (963 ^ _146433) ^ [_177410] : [-(v3_struct_0(_177410)), l1_pre_topc(_177410), 970 ^ _146433 : [(971 ^ _146433) ^ [_177637] : [m1_subset_1(_177637, k1_zfmisc_1(u1_struct_0(_177410))), v3_tex_2(_177637, _177410), -(v1_tsp_1(_177637, _177410))]]], (981 ^ _146433) ^ [_177953, _177955] : [r2_hidden(_177955, _177953), -(m1_subset_1(_177955, _177953))], (987 ^ _146433) ^ [_178163, _178165] : [m1_subset_1(_178165, _178163), -(v1_xboole_0(_178163)), -(r2_hidden(_178165, _178163))], (997 ^ _146433) ^ [_178447] : [-(v3_struct_0(_178447)), v2_pre_topc(_178447), l1_pre_topc(_178447), 1008 ^ _146433 : [(1009 ^ _146433) ^ [_178756] : [-(v3_tex_2(_178756, _178447)), v1_xboole_0(_178756), m1_subset_1(_178756, k1_zfmisc_1(u1_struct_0(_178447)))]]], (1019 ^ _146433) ^ [_179101, _179103] : [m1_subset_1(_179103, k1_zfmisc_1(_179101)), -(r1_tarski(_179103, _179101))], (1025 ^ _146433) ^ [_179267, _179269] : [r1_tarski(_179269, _179267), -(m1_subset_1(_179269, k1_zfmisc_1(_179267)))], (1031 ^ _146433) ^ [_179497, _179499, _179501] : [-(m1_subset_1(_179501, _179497)), r2_hidden(_179501, _179499), m1_subset_1(_179499, k1_zfmisc_1(_179497))], (1041 ^ _146433) ^ [_179824, _179826, _179828] : [r2_hidden(_179828, _179826), m1_subset_1(_179826, k1_zfmisc_1(_179824)), v1_xboole_0(_179824)], (1051 ^ _146433) ^ [_180120] : [v1_xboole_0(_180120), -(_180120 = k1_xboole_0)], (1057 ^ _146433) ^ [_180322, _180324] : [r2_hidden(_180324, _180322), v1_xboole_0(_180322)], (1063 ^ _146433) ^ [_180529, _180531] : [v1_xboole_0(_180531), -(_180531 = _180529), v1_xboole_0(_180529)], (1073 ^ _146433) ^ [_180792] : [-(v3_struct_0(_180792)), v2_pre_topc(_180792), l1_pre_topc(_180792), 1084 ^ _146433 : [(1085 ^ _146433) ^ [_181127] : [m1_subset_1(_181127, k1_zfmisc_1(u1_struct_0(_180792))), v1_tsp_1(_181127, _180792), 1093 ^ _146433 : [(1094 ^ _146433) ^ [] : [-(m1_subset_1(1092 ^ [_180792, _181127], k1_zfmisc_1(u1_struct_0(_180792))))], (1096 ^ _146433) ^ [] : [-(r1_tarski(_181127, 1092 ^ [_180792, _181127]))], (1098 ^ _146433) ^ [] : [-(v1_tsp_2(1092 ^ [_180792, _181127], _180792))]]]]]], input).
% 0.69/1.38  ncf('1',plain,[v3_struct_0(1099 ^ [])],start(1101 ^ 0)).
% 0.69/1.38  ncf('1.1',plain,[-(v3_struct_0(1099 ^ [])), l1_pre_topc(1099 ^ []), 971 : m1_subset_1(k1_pre_topc(1099 ^ []), k1_zfmisc_1(u1_struct_0(1099 ^ []))), 971 : v3_tex_2(k1_pre_topc(1099 ^ []), 1099 ^ []), 971 : -(v1_tsp_1(k1_pre_topc(1099 ^ []), 1099 ^ []))],extension(963 ^ 1,bind([[_177410, _177637], [1099 ^ [], k1_pre_topc(1099 ^ [])]]))).
% 0.69/1.38  ncf('1.1.1',plain,[-(l1_pre_topc(1099 ^ []))],extension(1105 ^ 2)).
% 0.69/1.38  ncf('1.1.2',plain,[-(m1_subset_1(k1_pre_topc(1099 ^ []), k1_zfmisc_1(u1_struct_0(1099 ^ [])))), l1_struct_0(1099 ^ [])],extension(646 ^ 4,bind([[_167225], [1099 ^ []]]))).
% 0.69/1.38  ncf('1.1.2.1',plain,[-(l1_struct_0(1099 ^ [])), l1_pre_topc(1099 ^ [])],extension(664 ^ 5,bind([[_167663], [1099 ^ []]]))).
% 0.69/1.38  ncf('1.1.2.1.1',plain,[-(l1_pre_topc(1099 ^ []))],lemmata('[1].x')).
% 0.69/1.38  ncf('1.1.3',plain,[-(v3_tex_2(k1_pre_topc(1099 ^ []), 1099 ^ [])), 1009 : v1_xboole_0(k1_pre_topc(1099 ^ [])), 1009 : m1_subset_1(k1_pre_topc(1099 ^ []), k1_zfmisc_1(u1_struct_0(1099 ^ []))), 1009 : -(v3_struct_0(1099 ^ [])), 1009 : v2_pre_topc(1099 ^ []), 1009 : l1_pre_topc(1099 ^ [])],extension(997 ^ 4,bind([[_178447, _178756], [1099 ^ [], k1_pre_topc(1099 ^ [])]]))).
% 0.69/1.38  ncf('1.1.3.1',plain,[-(v1_xboole_0(k1_pre_topc(1099 ^ []))), l1_struct_0(1099 ^ [])],extension(697 ^ 7,bind([[_168506], [1099 ^ []]]))).
% 0.69/1.38  ncf('1.1.3.1.1',plain,[-(l1_struct_0(1099 ^ [])), l1_pre_topc(1099 ^ [])],extension(664 ^ 8,bind([[_167663], [1099 ^ []]]))).
% 0.69/1.38  ncf('1.1.3.1.1.1',plain,[-(l1_pre_topc(1099 ^ []))],lemmata('[1].x')).
% 0.69/1.38  ncf('1.1.3.2',plain,[-(m1_subset_1(k1_pre_topc(1099 ^ []), k1_zfmisc_1(u1_struct_0(1099 ^ []))))],lemmata('[1].x')).
% 0.69/1.38  ncf('1.1.3.3',plain,[v3_struct_0(1099 ^ [])],reduction('1')).
% 0.69/1.38  ncf('1.1.3.4',plain,[-(v2_pre_topc(1099 ^ []))],extension(1103 ^ 5)).
% 0.69/1.38  ncf('1.1.3.5',plain,[-(l1_pre_topc(1099 ^ []))],lemmata('[1].x')).
% 0.69/1.38  ncf('1.1.4',plain,[v1_tsp_1(k1_pre_topc(1099 ^ []), 1099 ^ []), 1085 : m1_subset_1(k1_pre_topc(1099 ^ []), k1_zfmisc_1(u1_struct_0(1099 ^ []))), 1094 : -(m1_subset_1(1092 ^ [1099 ^ [], k1_pre_topc(1099 ^ [])], k1_zfmisc_1(u1_struct_0(1099 ^ [])))), 1085 : -(v3_struct_0(1099 ^ [])), 1085 : v2_pre_topc(1099 ^ []), 1085 : l1_pre_topc(1099 ^ [])],extension(1073 ^ 4,bind([[_180792, _181127], [1099 ^ [], k1_pre_topc(1099 ^ [])]]))).
% 0.69/1.38  ncf('1.1.4.1',plain,[-(m1_subset_1(k1_pre_topc(1099 ^ []), k1_zfmisc_1(u1_struct_0(1099 ^ []))))],lemmata('[1].x')).
% 0.69/1.38  ncf('1.1.4.2',plain,[m1_subset_1(1092 ^ [1099 ^ [], k1_pre_topc(1099 ^ [])], k1_zfmisc_1(u1_struct_0(1099 ^ []))), v1_tsp_2(1092 ^ [1099 ^ [], k1_pre_topc(1099 ^ [])], 1099 ^ [])],extension(1107 ^ 9,bind([[_182311], [1092 ^ [1099 ^ [], k1_pre_topc(1099 ^ [])]]]))).
% 0.69/1.38  ncf('1.1.4.2.1',plain,[-(v1_tsp_2(1092 ^ [1099 ^ [], k1_pre_topc(1099 ^ [])], 1099 ^ []))],extension(1098 ^ 10)).
% 0.69/1.38  ncf('1.1.4.3',plain,[v3_struct_0(1099 ^ [])],reduction('1')).
% 0.69/1.38  ncf('1.1.4.4',plain,[-(v2_pre_topc(1099 ^ []))],extension(1103 ^ 5)).
% 0.69/1.38  ncf('1.1.4.5',plain,[-(l1_pre_topc(1099 ^ []))],lemmata('[1].x')).
% 0.69/1.38  %-----------------------------------------------------
% 0.69/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------