TSTP Solution File: LAT319+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n022.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 11:28:47 EDT 2023

% Result   : Theorem 19.38s 19.07s
% Output   : Proof 19.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LAT319+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 14:26:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 19.38/19.07  
% 19.38/19.07  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 19.38/19.07  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.38/19.07  %-----------------------------------------------------
% 19.38/19.07  ncf(matrix, plain, [(1512 ^ _231294) ^ [] : [v3_struct_0(1510 ^ [])], (1514 ^ _231294) ^ [] : [-(v10_lattices(1510 ^ []))], (1516 ^ _231294) ^ [] : [-(l3_lattices(1510 ^ []))], (1518 ^ _231294) ^ [] : [1519 ^ _231294 : [(1520 ^ _231294) ^ [] : [v3_struct_0(1510 ^ [])], (1522 ^ _231294) ^ [] : [-(v10_lattices(1510 ^ []))], (1524 ^ _231294) ^ [] : [-(v17_lattices(1510 ^ []))], (1526 ^ _231294) ^ [] : [-(l3_lattices(1510 ^ []))], (1528 ^ _231294) ^ [] : [-(v3_struct_0(k1_lattice2(1510 ^ []))), v10_lattices(k1_lattice2(1510 ^ [])), v17_lattices(k1_lattice2(1510 ^ [])), l3_lattices(k1_lattice2(1510 ^ []))]], 1541 ^ _231294 : [(1542 ^ _231294) ^ [] : [v3_struct_0(k1_lattice2(1510 ^ []))], (1544 ^ _231294) ^ [] : [-(v10_lattices(k1_lattice2(1510 ^ [])))], (1546 ^ _231294) ^ [] : [-(v17_lattices(k1_lattice2(1510 ^ [])))], (1548 ^ _231294) ^ [] : [-(l3_lattices(k1_lattice2(1510 ^ [])))], (1550 ^ _231294) ^ [] : [-(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), v17_lattices(1510 ^ []), l3_lattices(1510 ^ [])]]], (402 ^ _231294) ^ [_243944, _243946] : [_243946 = _243944, -(u2_lattices(_243946) = u2_lattices(_243944))], (408 ^ _231294) ^ [_244162, _244164] : [_244164 = _244162, -(u1_lattices(_244164) = u1_lattices(_244162))], (414 ^ _231294) ^ [_244408, _244410, _244412, _244414] : [-(k2_zfmisc_1(_244414, _244410) = k2_zfmisc_1(_244412, _244408)), _244414 = _244412, _244410 = _244408], (424 ^ _231294) ^ [_244795, _244797, _244799, _244801, _244803, _244805] : [-(g3_lattices(_244805, _244801, _244797) = g3_lattices(_244803, _244799, _244795)), _244805 = _244803, _244801 = _244799, _244797 = _244795], (438 ^ _231294) ^ [_245255, _245257] : [_245257 = _245255, -(u1_struct_0(_245257) = u1_struct_0(_245255))], (444 ^ _231294) ^ [_245473, _245475] : [_245475 = _245473, -(k1_zfmisc_1(_245475) = k1_zfmisc_1(_245473))], (450 ^ _231294) ^ [_245671, _245673] : [_245673 = _245671, -(k1_lattice2(_245673) = k1_lattice2(_245671))], (2 ^ _231294) ^ [_231438] : [-(_231438 = _231438)], (4 ^ _231294) ^ [_231545, _231547] : [_231547 = _231545, -(_231545 = _231547)], (10 ^ _231294) ^ [_231749, _231751, _231753] : [-(_231753 = _231749), _231753 = _231751, _231751 = _231749], (20 ^ _231294) ^ [_232062, _232064] : [-(l2_lattices(_232062)), _232064 = _232062, l2_lattices(_232064)], (30 ^ _231294) ^ [_232385, _232387, _232389, _232391] : [-(v1_binop_1(_232389, _232385)), v1_binop_1(_232391, _232387), _232391 = _232389, _232387 = _232385], (44 ^ _231294) ^ [_232801, _232803] : [-(l1_lattices(_232801)), _232803 = _232801, l1_lattices(_232803)], (54 ^ _231294) ^ [_233124, _233126, _233128, _233130] : [-(v2_binop_1(_233128, _233124)), v2_binop_1(_233130, _233126), _233130 = _233128, _233126 = _233124], (68 ^ _231294) ^ [_233596, _233598, _233600, _233602, _233604, _233606] : [-(v1_partfun1(_233604, _233600, _233596)), v1_partfun1(_233606, _233602, _233598), _233606 = _233604, _233602 = _233600, _233598 = _233596], (86 ^ _231294) ^ [_234205, _234207, _234209, _234211, _234213, _234215] : [-(v1_funct_2(_234213, _234209, _234205)), v1_funct_2(_234215, _234211, _234207), _234215 = _234213, _234211 = _234209, _234207 = _234205], (104 ^ _231294) ^ [_234758, _234760] : [-(v12_lattices(_234758)), _234760 = _234758, v12_lattices(_234760)], (114 ^ _231294) ^ [_235053, _235055] : [-(v13_lattices(_235053)), _235055 = _235053, v13_lattices(_235055)], (124 ^ _231294) ^ [_235348, _235350] : [-(v14_lattices(_235348)), _235350 = _235348, v14_lattices(_235350)], (134 ^ _231294) ^ [_235643, _235645] : [-(v1_relat_1(_235643)), _235645 = _235643, v1_relat_1(_235645)], (144 ^ _231294) ^ [_235938, _235940] : [-(v1_funct_1(_235938)), _235940 = _235938, v1_funct_1(_235940)], (154 ^ _231294) ^ [_236233, _236235] : [-(v2_funct_1(_236233)), _236235 = _236233, v2_funct_1(_236235)], (164 ^ _231294) ^ [_236528, _236530] : [-(l1_struct_0(_236528)), _236530 = _236528, l1_struct_0(_236530)], (174 ^ _231294) ^ [_236823, _236825] : [-(v3_lattices(_236823)), _236825 = _236823, v3_lattices(_236825)], (184 ^ _231294) ^ [_237118, _237120] : [-(v4_lattices(_237118)), _237120 = _237118, v4_lattices(_237120)], (194 ^ _231294) ^ [_237413, _237415] : [-(v5_lattices(_237413)), _237415 = _237413, v5_lattices(_237415)], (204 ^ _231294) ^ [_237708, _237710] : [-(v6_lattices(_237708)), _237710 = _237708, v6_lattices(_237710)], (214 ^ _231294) ^ [_238003, _238005] : [-(v7_lattices(_238003)), _238005 = _238003, v7_lattices(_238005)], (224 ^ _231294) ^ [_238298, _238300] : [-(v8_lattices(_238298)), _238300 = _238298, v8_lattices(_238300)], (234 ^ _231294) ^ [_238593, _238595] : [-(v9_lattices(_238593)), _238595 = _238593, v9_lattices(_238595)], (244 ^ _231294) ^ [_238944, _238946, _238948, _238950, _238952, _238954] : [-(m2_relset_1(_238952, _238948, _238944)), m2_relset_1(_238954, _238950, _238946), _238954 = _238952, _238950 = _238948, _238946 = _238944], (262 ^ _231294) ^ [_239553, _239555, _239557, _239559, _239561, _239563] : [-(m1_relset_1(_239561, _239557, _239553)), m1_relset_1(_239563, _239559, _239555), _239563 = _239561, _239559 = _239557, _239555 = _239553], (280 ^ _231294) ^ [_240134, _240136, _240138, _240140] : [-(r1_tarski(_240138, _240134)), r1_tarski(_240140, _240136), _240140 = _240138, _240136 = _240134], (294 ^ _231294) ^ [_240550, _240552] : [-(v15_lattices(_240550)), _240552 = _240550, v15_lattices(_240552)], (304 ^ _231294) ^ [_240845, _240847] : [-(v16_lattices(_240845)), _240847 = _240845, v16_lattices(_240847)], (314 ^ _231294) ^ [_241168, _241170, _241172, _241174] : [-(m1_subset_1(_241172, _241168)), m1_subset_1(_241174, _241170), _241174 = _241172, _241170 = _241168], (328 ^ _231294) ^ [_241584, _241586] : [-(v11_lattices(_241584)), _241586 = _241584, v11_lattices(_241586)], (338 ^ _231294) ^ [_241907, _241909, _241911, _241913] : [-(r2_hidden(_241911, _241907)), r2_hidden(_241913, _241909), _241913 = _241911, _241909 = _241907], (352 ^ _231294) ^ [_242323, _242325] : [-(v1_xboole_0(_242323)), _242325 = _242323, v1_xboole_0(_242325)], (362 ^ _231294) ^ [_242618, _242620] : [-(v3_struct_0(_242618)), _242620 = _242618, v3_struct_0(_242620)], (372 ^ _231294) ^ [_242913, _242915] : [-(v10_lattices(_242913)), _242915 = _242913, v10_lattices(_242915)], (382 ^ _231294) ^ [_243208, _243210] : [-(v17_lattices(_243208)), _243210 = _243208, v17_lattices(_243210)], (392 ^ _231294) ^ [_243483, _243485] : [-(l3_lattices(_243483)), _243485 = _243483, l3_lattices(_243485)], (456 ^ _231294) ^ [_245906] : [l3_lattices(_245906), v3_lattices(_245906), -(_245906 = g3_lattices(u1_struct_0(_245906), u2_lattices(_245906), u1_lattices(_245906)))], (466 ^ _231294) ^ [_246211, _246213] : [r2_hidden(_246213, _246211), r2_hidden(_246211, _246213)], (472 ^ _231294) ^ [_246408] : [v1_xboole_0(_246408), -(v1_funct_1(_246408))], (478 ^ _231294) ^ [_246594] : [l3_lattices(_246594), 489 ^ _231294 : [(490 ^ _231294) ^ [] : [v3_struct_0(_246594)], (492 ^ _231294) ^ [] : [-(v4_lattices(_246594))], (494 ^ _231294) ^ [] : [-(v5_lattices(_246594))], (496 ^ _231294) ^ [] : [-(v6_lattices(_246594))], (498 ^ _231294) ^ [] : [-(v7_lattices(_246594))], (500 ^ _231294) ^ [] : [-(v8_lattices(_246594))], (502 ^ _231294) ^ [] : [-(v9_lattices(_246594))]], -(v3_struct_0(_246594)), v10_lattices(_246594)], (504 ^ _231294) ^ [_247399, _247401, _247403] : [m1_subset_1(_247399, k1_zfmisc_1(k2_zfmisc_1(_247403, _247401))), -(v1_relat_1(_247399))], (510 ^ _231294) ^ [_247609] : [521 ^ _231294 : [(522 ^ _231294) ^ [] : [-(v1_relat_1(_247609))], (524 ^ _231294) ^ [] : [-(v1_funct_1(_247609))], (526 ^ _231294) ^ [] : [-(v2_funct_1(_247609))]], v1_relat_1(_247609), v1_xboole_0(_247609), v1_funct_1(_247609)], (528 ^ _231294) ^ [_248102] : [l3_lattices(_248102), 559 ^ _231294 : [(560 ^ _231294) ^ [] : [v3_struct_0(_248102)], (562 ^ _231294) ^ [] : [-(v10_lattices(_248102))]], -(v3_struct_0(_248102)), v4_lattices(_248102), v5_lattices(_248102), v6_lattices(_248102), v7_lattices(_248102), v8_lattices(_248102), v9_lattices(_248102)], (564 ^ _231294) ^ [_248944] : [l3_lattices(_248944), 579 ^ _231294 : [(580 ^ _231294) ^ [] : [v3_struct_0(_248944)], (582 ^ _231294) ^ [] : [-(v15_lattices(_248944))]], -(v3_struct_0(_248944)), v13_lattices(_248944), v14_lattices(_248944)], (584 ^ _231294) ^ [_249454] : [l3_lattices(_249454), 595 ^ _231294 : [(596 ^ _231294) ^ [] : [v3_struct_0(_249454)], (598 ^ _231294) ^ [] : [-(v13_lattices(_249454))], (600 ^ _231294) ^ [] : [-(v14_lattices(_249454))]], -(v3_struct_0(_249454)), v15_lattices(_249454)], (602 ^ _231294) ^ [_249951] : [l3_lattices(_249951), 613 ^ _231294 : [(614 ^ _231294) ^ [] : [v3_struct_0(_249951)], (616 ^ _231294) ^ [] : [-(v11_lattices(_249951))], (618 ^ _231294) ^ [] : [-(v13_lattices(_249951))], (620 ^ _231294) ^ [] : [-(v14_lattices(_249951))], (622 ^ _231294) ^ [] : [-(v15_lattices(_249951))], (624 ^ _231294) ^ [] : [-(v16_lattices(_249951))]], -(v3_struct_0(_249951)), v17_lattices(_249951)], (626 ^ _231294) ^ [_250658] : [l3_lattices(_250658), 645 ^ _231294 : [(646 ^ _231294) ^ [] : [v3_struct_0(_250658)], (648 ^ _231294) ^ [] : [-(v17_lattices(_250658))]], -(v3_struct_0(_250658)), v11_lattices(_250658), v15_lattices(_250658), v16_lattices(_250658)], (650 ^ _231294) ^ [_251251] : [l3_lattices(_251251), 665 ^ _231294 : [(666 ^ _231294) ^ [] : [v3_struct_0(_251251)], (668 ^ _231294) ^ [] : [-(v4_lattices(_251251))], (670 ^ _231294) ^ [] : [-(v5_lattices(_251251))], (672 ^ _231294) ^ [] : [-(v6_lattices(_251251))], (674 ^ _231294) ^ [] : [-(v7_lattices(_251251))], (676 ^ _231294) ^ [] : [-(v8_lattices(_251251))], (678 ^ _231294) ^ [] : [-(v9_lattices(_251251))], (680 ^ _231294) ^ [] : [-(v10_lattices(_251251))], (682 ^ _231294) ^ [] : [-(v12_lattices(_251251))]], -(v3_struct_0(_251251)), v10_lattices(_251251), v11_lattices(_251251)], (684 ^ _231294) ^ [_252251] : [-(v3_struct_0(_252251)), l3_lattices(_252251), 691 ^ _231294 : [(692 ^ _231294) ^ [] : [v17_lattices(_252251), 695 ^ _231294 : [(696 ^ _231294) ^ [] : [-(v15_lattices(_252251))], (698 ^ _231294) ^ [] : [-(v16_lattices(_252251))], (700 ^ _231294) ^ [] : [-(v11_lattices(_252251))]]], (702 ^ _231294) ^ [] : [-(v17_lattices(_252251)), v15_lattices(_252251), v16_lattices(_252251), v11_lattices(_252251)]]], (716 ^ _231294) ^ [_253058] : [l3_lattices(_253058), -(k1_lattice2(_253058) = g3_lattices(u1_struct_0(_253058), u1_lattices(_253058), u2_lattices(_253058)))], (722 ^ _231294) ^ [_253298, _253300, _253302] : [745 ^ _231294 : [(746 ^ _231294) ^ [] : [-(v3_lattices(g3_lattices(_253302, _253300, _253298)))], (748 ^ _231294) ^ [] : [-(l3_lattices(g3_lattices(_253302, _253300, _253298)))]], v1_funct_1(_253300), v1_funct_2(_253300, k2_zfmisc_1(_253302, _253302), _253302), m1_relset_1(_253300, k2_zfmisc_1(_253302, _253302), _253302), v1_funct_1(_253298), v1_funct_2(_253298, k2_zfmisc_1(_253302, _253302), _253302), m1_relset_1(_253298, k2_zfmisc_1(_253302, _253302), _253302)], (750 ^ _231294) ^ [_254082] : [l3_lattices(_254082), 753 ^ _231294 : [(754 ^ _231294) ^ [] : [-(v3_lattices(k1_lattice2(_254082)))], (756 ^ _231294) ^ [] : [-(l3_lattices(k1_lattice2(_254082)))]]], (758 ^ _231294) ^ [] : [true___, -(true___)], (764 ^ _231294) ^ [] : [true___, -(true___)], (770 ^ _231294) ^ [] : [true___, -(true___)], (776 ^ _231294) ^ [_254704] : [l1_lattices(_254704), -(l1_struct_0(_254704))], (782 ^ _231294) ^ [] : [true___, -(true___)], (788 ^ _231294) ^ [_255009] : [l2_lattices(_255009), -(l1_struct_0(_255009))], (794 ^ _231294) ^ [_255195] : [l3_lattices(_255195), 797 ^ _231294 : [(798 ^ _231294) ^ [] : [-(l1_lattices(_255195))], (800 ^ _231294) ^ [] : [-(l2_lattices(_255195))]]], (802 ^ _231294) ^ [] : [true___, -(true___)], (808 ^ _231294) ^ [] : [true___, -(true___)], (814 ^ _231294) ^ [_255718, _255720, _255722] : [m2_relset_1(_255718, _255722, _255720), -(m1_subset_1(_255718, k1_zfmisc_1(k2_zfmisc_1(_255722, _255720))))], (820 ^ _231294) ^ [_255932] : [l1_lattices(_255932), 823 ^ _231294 : [(824 ^ _231294) ^ [] : [-(v1_funct_1(u1_lattices(_255932)))], (826 ^ _231294) ^ [] : [-(v1_funct_2(u1_lattices(_255932), k2_zfmisc_1(u1_struct_0(_255932), u1_struct_0(_255932)), u1_struct_0(_255932)))], (828 ^ _231294) ^ [] : [-(m2_relset_1(u1_lattices(_255932), k2_zfmisc_1(u1_struct_0(_255932), u1_struct_0(_255932)), u1_struct_0(_255932)))]]], (830 ^ _231294) ^ [] : [true___, -(true___)], (836 ^ _231294) ^ [_256434] : [l2_lattices(_256434), 839 ^ _231294 : [(840 ^ _231294) ^ [] : [-(v1_funct_1(u2_lattices(_256434)))], (842 ^ _231294) ^ [] : [-(v1_funct_2(u2_lattices(_256434), k2_zfmisc_1(u1_struct_0(_256434), u1_struct_0(_256434)), u1_struct_0(_256434)))], (844 ^ _231294) ^ [] : [-(m2_relset_1(u2_lattices(_256434), k2_zfmisc_1(u1_struct_0(_256434), u1_struct_0(_256434)), u1_struct_0(_256434)))]]], (847 ^ _231294) ^ [] : [-(l1_lattices(845 ^ []))], (850 ^ _231294) ^ [] : [-(l1_struct_0(848 ^ []))], (853 ^ _231294) ^ [] : [-(l2_lattices(851 ^ []))], (856 ^ _231294) ^ [] : [-(l3_lattices(854 ^ []))], (859 ^ _231294) ^ [_257214, _257216] : [-(m1_relset_1(857 ^ [_257214, _257216], _257216, _257214))], (862 ^ _231294) ^ [_257341] : [-(m1_subset_1(860 ^ [_257341], _257341))], (865 ^ _231294) ^ [_257480, _257482] : [-(m2_relset_1(863 ^ [_257480, _257482], _257482, _257480))], (867 ^ _231294) ^ [_257583] : [874 ^ _231294 : [(875 ^ _231294) ^ [] : [v3_struct_0(k1_lattice2(_257583))], (877 ^ _231294) ^ [] : [-(v3_lattices(k1_lattice2(_257583)))]], -(v3_struct_0(_257583)), l3_lattices(_257583)], (879 ^ _231294) ^ [_257935] : [v1_xboole_0(u1_struct_0(_257935)), -(v3_struct_0(_257935)), l1_struct_0(_257935)], (889 ^ _231294) ^ [_258196] : [v1_xboole_0(k1_zfmisc_1(_258196))], (891 ^ _231294) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (893 ^ _231294) ^ [_258343] : [904 ^ _231294 : [(905 ^ _231294) ^ [] : [-(v1_relat_1(u2_lattices(_258343)))], (907 ^ _231294) ^ [] : [-(v1_funct_1(u2_lattices(_258343)))], (909 ^ _231294) ^ [] : [-(v1_funct_2(u2_lattices(_258343), k2_zfmisc_1(u1_struct_0(_258343), u1_struct_0(_258343)), u1_struct_0(_258343)))], (911 ^ _231294) ^ [] : [-(v1_binop_1(u2_lattices(_258343), u1_struct_0(_258343)))], (913 ^ _231294) ^ [] : [-(v1_partfun1(u2_lattices(_258343), k2_zfmisc_1(u1_struct_0(_258343), u1_struct_0(_258343)), u1_struct_0(_258343)))]], -(v3_struct_0(_258343)), v4_lattices(_258343), l2_lattices(_258343)], (915 ^ _231294) ^ [_259049] : [926 ^ _231294 : [(927 ^ _231294) ^ [] : [-(v1_relat_1(u2_lattices(_259049)))], (929 ^ _231294) ^ [] : [-(v1_funct_1(u2_lattices(_259049)))], (931 ^ _231294) ^ [] : [-(v1_funct_2(u2_lattices(_259049), k2_zfmisc_1(u1_struct_0(_259049), u1_struct_0(_259049)), u1_struct_0(_259049)))], (933 ^ _231294) ^ [] : [-(v2_binop_1(u2_lattices(_259049), u1_struct_0(_259049)))], (935 ^ _231294) ^ [] : [-(v1_partfun1(u2_lattices(_259049), k2_zfmisc_1(u1_struct_0(_259049), u1_struct_0(_259049)), u1_struct_0(_259049)))]], -(v3_struct_0(_259049)), v5_lattices(_259049), l2_lattices(_259049)], (937 ^ _231294) ^ [_259783, _259785, _259787] : [964 ^ _231294 : [(965 ^ _231294) ^ [] : [v3_struct_0(g3_lattices(_259787, _259785, _259783))], (967 ^ _231294) ^ [] : [-(v3_lattices(g3_lattices(_259787, _259785, _259783)))]], -(v1_xboole_0(_259787)), v1_funct_1(_259785), v1_funct_2(_259785, k2_zfmisc_1(_259787, _259787), _259787), m1_relset_1(_259785, k2_zfmisc_1(_259787, _259787), _259787), v1_funct_1(_259783), v1_funct_2(_259783, k2_zfmisc_1(_259787, _259787), _259787), m1_relset_1(_259783, k2_zfmisc_1(_259787, _259787), _259787)], (969 ^ _231294) ^ [_260662] : [980 ^ _231294 : [(981 ^ _231294) ^ [] : [-(v1_relat_1(u1_lattices(_260662)))], (983 ^ _231294) ^ [] : [-(v1_funct_1(u1_lattices(_260662)))], (985 ^ _231294) ^ [] : [-(v1_funct_2(u1_lattices(_260662), k2_zfmisc_1(u1_struct_0(_260662), u1_struct_0(_260662)), u1_struct_0(_260662)))], (987 ^ _231294) ^ [] : [-(v1_binop_1(u1_lattices(_260662), u1_struct_0(_260662)))], (989 ^ _231294) ^ [] : [-(v1_partfun1(u1_lattices(_260662), k2_zfmisc_1(u1_struct_0(_260662), u1_struct_0(_260662)), u1_struct_0(_260662)))]], -(v3_struct_0(_260662)), v6_lattices(_260662), l1_lattices(_260662)], (991 ^ _231294) ^ [_261382, _261384] : [v1_xboole_0(k2_zfmisc_1(_261384, _261382)), -(v1_xboole_0(_261384)), -(v1_xboole_0(_261382))], (1001 ^ _231294) ^ [_261674] : [1012 ^ _231294 : [(1013 ^ _231294) ^ [] : [-(v1_relat_1(u1_lattices(_261674)))], (1015 ^ _231294) ^ [] : [-(v1_funct_1(u1_lattices(_261674)))], (1017 ^ _231294) ^ [] : [-(v1_funct_2(u1_lattices(_261674), k2_zfmisc_1(u1_struct_0(_261674), u1_struct_0(_261674)), u1_struct_0(_261674)))], (1019 ^ _231294) ^ [] : [-(v2_binop_1(u1_lattices(_261674), u1_struct_0(_261674)))], (1021 ^ _231294) ^ [] : [-(v1_partfun1(u1_lattices(_261674), k2_zfmisc_1(u1_struct_0(_261674), u1_struct_0(_261674)), u1_struct_0(_261674)))]], -(v3_struct_0(_261674)), v7_lattices(_261674), l1_lattices(_261674)], (1023 ^ _231294) ^ [_262380] : [1034 ^ _231294 : [(1035 ^ _231294) ^ [] : [v3_struct_0(k1_lattice2(_262380))], (1037 ^ _231294) ^ [] : [-(v3_lattices(k1_lattice2(_262380)))], (1039 ^ _231294) ^ [] : [-(v4_lattices(k1_lattice2(_262380)))], (1041 ^ _231294) ^ [] : [-(v5_lattices(k1_lattice2(_262380)))], (1043 ^ _231294) ^ [] : [-(v6_lattices(k1_lattice2(_262380)))], (1045 ^ _231294) ^ [] : [-(v7_lattices(k1_lattice2(_262380)))], (1047 ^ _231294) ^ [] : [-(v8_lattices(k1_lattice2(_262380)))], (1049 ^ _231294) ^ [] : [-(v9_lattices(k1_lattice2(_262380)))], (1051 ^ _231294) ^ [] : [-(v10_lattices(k1_lattice2(_262380)))]], -(v3_struct_0(_262380)), v10_lattices(_262380), l3_lattices(_262380)], (1053 ^ _231294) ^ [_263361, _263363, _263365] : [1076 ^ _231294 : [(1077 ^ _231294) ^ [_264053, _264055, _264057] : [g3_lattices(_263365, _263363, _263361) = g3_lattices(_264057, _264055, _264053), 1080 ^ _231294 : [(1081 ^ _231294) ^ [] : [-(_263365 = _264057)], (1083 ^ _231294) ^ [] : [-(_263363 = _264055)], (1085 ^ _231294) ^ [] : [-(_263361 = _264053)]]]], v1_funct_1(_263363), v1_funct_2(_263363, k2_zfmisc_1(_263365, _263365), _263365), m1_relset_1(_263363, k2_zfmisc_1(_263365, _263365), _263365), v1_funct_1(_263361), v1_funct_2(_263361, k2_zfmisc_1(_263365, _263365), _263365), m1_relset_1(_263361, k2_zfmisc_1(_263365, _263365), _263365)], (1088 ^ _231294) ^ [] : [-(l3_lattices(1086 ^ []))], (1090 ^ _231294) ^ [] : [v3_struct_0(1086 ^ [])], (1092 ^ _231294) ^ [] : [-(v3_lattices(1086 ^ []))], (1094 ^ _231294) ^ [] : [-(v4_lattices(1086 ^ []))], (1096 ^ _231294) ^ [] : [-(v5_lattices(1086 ^ []))], (1098 ^ _231294) ^ [] : [-(v6_lattices(1086 ^ []))], (1100 ^ _231294) ^ [] : [-(v7_lattices(1086 ^ []))], (1102 ^ _231294) ^ [] : [-(v8_lattices(1086 ^ []))], (1104 ^ _231294) ^ [] : [-(v9_lattices(1086 ^ []))], (1106 ^ _231294) ^ [] : [-(v10_lattices(1086 ^ []))], (1108 ^ _231294) ^ [] : [-(v11_lattices(1086 ^ []))], (1110 ^ _231294) ^ [] : [-(v12_lattices(1086 ^ []))], (1112 ^ _231294) ^ [] : [-(v13_lattices(1086 ^ []))], (1114 ^ _231294) ^ [] : [-(v14_lattices(1086 ^ []))], (1117 ^ _231294) ^ [] : [-(l3_lattices(1115 ^ []))], (1119 ^ _231294) ^ [] : [v3_struct_0(1115 ^ [])], (1121 ^ _231294) ^ [] : [-(v3_lattices(1115 ^ []))], (1123 ^ _231294) ^ [] : [-(v4_lattices(1115 ^ []))], (1125 ^ _231294) ^ [] : [-(v5_lattices(1115 ^ []))], (1127 ^ _231294) ^ [] : [-(v6_lattices(1115 ^ []))], (1129 ^ _231294) ^ [] : [-(v7_lattices(1115 ^ []))], (1131 ^ _231294) ^ [] : [-(v8_lattices(1115 ^ []))], (1133 ^ _231294) ^ [] : [-(v9_lattices(1115 ^ []))], (1135 ^ _231294) ^ [] : [-(v10_lattices(1115 ^ []))], (1137 ^ _231294) ^ [] : [-(v13_lattices(1115 ^ []))], (1139 ^ _231294) ^ [] : [-(v14_lattices(1115 ^ []))], (1141 ^ _231294) ^ [] : [-(v15_lattices(1115 ^ []))], (1144 ^ _231294) ^ [] : [-(l3_lattices(1142 ^ []))], (1146 ^ _231294) ^ [] : [v3_struct_0(1142 ^ [])], (1148 ^ _231294) ^ [] : [-(v3_lattices(1142 ^ []))], (1150 ^ _231294) ^ [] : [-(v4_lattices(1142 ^ []))], (1152 ^ _231294) ^ [] : [-(v5_lattices(1142 ^ []))], (1154 ^ _231294) ^ [] : [-(v6_lattices(1142 ^ []))], (1156 ^ _231294) ^ [] : [-(v7_lattices(1142 ^ []))], (1158 ^ _231294) ^ [] : [-(v8_lattices(1142 ^ []))], (1160 ^ _231294) ^ [] : [-(v9_lattices(1142 ^ []))], (1162 ^ _231294) ^ [] : [-(v10_lattices(1142 ^ []))], (1164 ^ _231294) ^ [] : [-(v13_lattices(1142 ^ []))], (1166 ^ _231294) ^ [] : [-(v14_lattices(1142 ^ []))], (1168 ^ _231294) ^ [] : [-(v15_lattices(1142 ^ []))], (1170 ^ _231294) ^ [] : [-(v16_lattices(1142 ^ []))], (1173 ^ _231294) ^ [] : [-(l3_lattices(1171 ^ []))], (1175 ^ _231294) ^ [] : [v3_struct_0(1171 ^ [])], (1177 ^ _231294) ^ [] : [-(v3_lattices(1171 ^ []))], (1179 ^ _231294) ^ [] : [-(v4_lattices(1171 ^ []))], (1181 ^ _231294) ^ [] : [-(v5_lattices(1171 ^ []))], (1183 ^ _231294) ^ [] : [-(v6_lattices(1171 ^ []))], (1185 ^ _231294) ^ [] : [-(v7_lattices(1171 ^ []))], (1187 ^ _231294) ^ [] : [-(v8_lattices(1171 ^ []))], (1189 ^ _231294) ^ [] : [-(v9_lattices(1171 ^ []))], (1191 ^ _231294) ^ [] : [-(v10_lattices(1171 ^ []))], (1193 ^ _231294) ^ [] : [-(v11_lattices(1171 ^ []))], (1195 ^ _231294) ^ [] : [-(v13_lattices(1171 ^ []))], (1197 ^ _231294) ^ [] : [-(v14_lattices(1171 ^ []))], (1199 ^ _231294) ^ [] : [-(v15_lattices(1171 ^ []))], (1201 ^ _231294) ^ [] : [-(v16_lattices(1171 ^ []))], (1203 ^ _231294) ^ [] : [-(v17_lattices(1171 ^ []))], (1206 ^ _231294) ^ [] : [-(v1_relat_1(1204 ^ []))], (1208 ^ _231294) ^ [] : [-(v1_funct_1(1204 ^ []))], (1210 ^ _231294) ^ [_268154] : [-(v1_xboole_0(_268154)), 1214 ^ _231294 : [(1215 ^ _231294) ^ [] : [-(m1_subset_1(1213 ^ [_268154], k1_zfmisc_1(_268154)))], (1217 ^ _231294) ^ [] : [v1_xboole_0(1213 ^ [_268154])]]], (1220 ^ _231294) ^ [] : [-(v1_xboole_0(1218 ^ []))], (1223 ^ _231294) ^ [] : [-(v1_relat_1(1221 ^ []))], (1225 ^ _231294) ^ [] : [-(v1_xboole_0(1221 ^ []))], (1227 ^ _231294) ^ [] : [-(v1_funct_1(1221 ^ []))], (1230 ^ _231294) ^ [_268835] : [-(m1_subset_1(1228 ^ [_268835], k1_zfmisc_1(_268835)))], (1232 ^ _231294) ^ [_268886] : [-(v1_xboole_0(1228 ^ [_268886]))], (1235 ^ _231294) ^ [] : [v1_xboole_0(1233 ^ [])], (1238 ^ _231294) ^ [] : [-(v1_relat_1(1236 ^ []))], (1240 ^ _231294) ^ [] : [-(v1_funct_1(1236 ^ []))], (1242 ^ _231294) ^ [] : [-(v2_funct_1(1236 ^ []))], (1245 ^ _231294) ^ [] : [-(l3_lattices(1243 ^ []))], (1247 ^ _231294) ^ [] : [-(v3_lattices(1243 ^ []))], (1250 ^ _231294) ^ [] : [-(l1_struct_0(1248 ^ []))], (1252 ^ _231294) ^ [] : [v3_struct_0(1248 ^ [])], (1254 ^ _231294) ^ [_269583] : [1262 ^ _231294 : [(1263 ^ _231294) ^ [] : [-(m1_subset_1(1261 ^ [_269583], k1_zfmisc_1(u1_struct_0(_269583))))], (1265 ^ _231294) ^ [] : [v1_xboole_0(1261 ^ [_269583])]], -(v3_struct_0(_269583)), l1_struct_0(_269583)], (1268 ^ _231294) ^ [] : [-(l3_lattices(1266 ^ []))], (1270 ^ _231294) ^ [] : [v3_struct_0(1266 ^ [])], (1272 ^ _231294) ^ [] : [-(v3_lattices(1266 ^ []))], (1275 ^ _231294) ^ [] : [-(l3_lattices(1273 ^ []))], (1277 ^ _231294) ^ [] : [v3_struct_0(1273 ^ [])], (1279 ^ _231294) ^ [] : [-(v3_lattices(1273 ^ []))], (1281 ^ _231294) ^ [] : [-(v4_lattices(1273 ^ []))], (1283 ^ _231294) ^ [] : [-(v5_lattices(1273 ^ []))], (1285 ^ _231294) ^ [] : [-(v6_lattices(1273 ^ []))], (1287 ^ _231294) ^ [] : [-(v7_lattices(1273 ^ []))], (1289 ^ _231294) ^ [] : [-(v8_lattices(1273 ^ []))], (1291 ^ _231294) ^ [] : [-(v9_lattices(1273 ^ []))], (1293 ^ _231294) ^ [] : [-(v10_lattices(1273 ^ []))], (1295 ^ _231294) ^ [_270901, _270903, _270905] : [m2_relset_1(_270901, _270905, _270903), -(m1_relset_1(_270901, _270905, _270903))], (1301 ^ _231294) ^ [_271073, _271075, _271077] : [m1_relset_1(_271073, _271077, _271075), -(m2_relset_1(_271073, _271077, _271075))], (1307 ^ _231294) ^ [_271280, _271282] : [-(r1_tarski(_271282, _271282))], (1309 ^ _231294) ^ [_271389, _271391] : [r2_hidden(_271391, _271389), -(m1_subset_1(_271391, _271389))], (1315 ^ _231294) ^ [_271599, _271601] : [m1_subset_1(_271601, _271599), -(v1_xboole_0(_271599)), -(r2_hidden(_271601, _271599))], (1325 ^ _231294) ^ [_271926, _271928] : [m1_subset_1(_271928, k1_zfmisc_1(_271926)), -(r1_tarski(_271928, _271926))], (1331 ^ _231294) ^ [_272092, _272094] : [r1_tarski(_272094, _272092), -(m1_subset_1(_272094, k1_zfmisc_1(_272092)))], (1337 ^ _231294) ^ [_272322, _272324, _272326] : [-(m1_subset_1(_272326, _272322)), r2_hidden(_272326, _272324), m1_subset_1(_272324, k1_zfmisc_1(_272322))], (1347 ^ _231294) ^ [_272621] : [-(v3_struct_0(_272621)), v10_lattices(_272621), l3_lattices(_272621), 1358 ^ _231294 : [(1359 ^ _231294) ^ [] : [1378 ^ _231294 : [(1379 ^ _231294) ^ [] : [v3_struct_0(k1_lattice2(_272621))], (1381 ^ _231294) ^ [] : [-(v10_lattices(k1_lattice2(_272621)))], (1383 ^ _231294) ^ [] : [-(v15_lattices(k1_lattice2(_272621)))], (1385 ^ _231294) ^ [] : [-(v16_lattices(k1_lattice2(_272621)))], (1387 ^ _231294) ^ [] : [-(l3_lattices(k1_lattice2(_272621)))]], -(v3_struct_0(_272621)), v10_lattices(_272621), v15_lattices(_272621), v16_lattices(_272621), l3_lattices(_272621)], (1389 ^ _231294) ^ [] : [1408 ^ _231294 : [(1409 ^ _231294) ^ [] : [v3_struct_0(_272621)], (1411 ^ _231294) ^ [] : [-(v10_lattices(_272621))], (1413 ^ _231294) ^ [] : [-(v15_lattices(_272621))], (1415 ^ _231294) ^ [] : [-(v16_lattices(_272621))], (1417 ^ _231294) ^ [] : [-(l3_lattices(_272621))]], -(v3_struct_0(k1_lattice2(_272621))), v10_lattices(k1_lattice2(_272621)), v15_lattices(k1_lattice2(_272621)), v16_lattices(k1_lattice2(_272621)), l3_lattices(k1_lattice2(_272621))]]], (1419 ^ _231294) ^ [_274464, _274466, _274468] : [r2_hidden(_274468, _274466), m1_subset_1(_274466, k1_zfmisc_1(_274464)), v1_xboole_0(_274464)], (1489 ^ _231294) ^ [_276273] : [v1_xboole_0(_276273), -(_276273 = k1_xboole_0)], (1495 ^ _231294) ^ [_276475, _276477] : [r2_hidden(_276477, _276475), v1_xboole_0(_276475)], (1501 ^ _231294) ^ [_276662, _276664] : [v1_xboole_0(_276664), -(_276664 = _276662), v1_xboole_0(_276662)], (1429 ^ _231294) ^ [_274760] : [-(v3_struct_0(_274760)), v10_lattices(_274760), l3_lattices(_274760), 1440 ^ _231294 : [(1441 ^ _231294) ^ [] : [1456 ^ _231294 : [(1457 ^ _231294) ^ [] : [v3_struct_0(k1_lattice2(_274760))], (1459 ^ _231294) ^ [] : [-(v10_lattices(k1_lattice2(_274760)))], (1461 ^ _231294) ^ [] : [-(v11_lattices(k1_lattice2(_274760)))], (1463 ^ _231294) ^ [] : [-(l3_lattices(k1_lattice2(_274760)))]], -(v3_struct_0(_274760)), v10_lattices(_274760), v11_lattices(_274760), l3_lattices(_274760)], (1465 ^ _231294) ^ [] : [1480 ^ _231294 : [(1481 ^ _231294) ^ [] : [v3_struct_0(_274760)], (1483 ^ _231294) ^ [] : [-(v10_lattices(_274760))], (1485 ^ _231294) ^ [] : [-(v11_lattices(_274760))], (1487 ^ _231294) ^ [] : [-(l3_lattices(_274760))]], -(v3_struct_0(k1_lattice2(_274760))), v10_lattices(k1_lattice2(_274760)), v11_lattices(k1_lattice2(_274760)), l3_lattices(k1_lattice2(_274760))]]]], input).
% 19.38/19.07  ncf('1',plain,[v3_struct_0(1510 ^ [])],start(1512 ^ 0)).
% 19.38/19.07  ncf('1.1',plain,[-(v3_struct_0(1510 ^ [])), 1550 : v10_lattices(1510 ^ []), 1550 : v17_lattices(1510 ^ []), 1550 : l3_lattices(1510 ^ []), 1528 : -(v3_struct_0(k1_lattice2(1510 ^ []))), 1528 : v10_lattices(k1_lattice2(1510 ^ [])), 1528 : v17_lattices(k1_lattice2(1510 ^ [])), 1528 : l3_lattices(k1_lattice2(1510 ^ []))],extension(1518 ^ 1)).
% 19.38/19.07  ncf('1.1.1',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 4)).
% 19.38/19.07  ncf('1.1.2',plain,[-(v17_lattices(1510 ^ [])), l3_lattices(1510 ^ []), -(v3_struct_0(1510 ^ [])), v11_lattices(1510 ^ []), v15_lattices(1510 ^ []), v16_lattices(1510 ^ [])],extension(626 ^ 4,bind([[_250658], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.2.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 5)).
% 19.38/19.07  ncf('1.1.2.2',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.2.3',plain,[-(v11_lattices(1510 ^ [])), 1465 : -(v3_struct_0(k1_lattice2(1510 ^ []))), 1465 : v10_lattices(k1_lattice2(1510 ^ [])), 1465 : v11_lattices(k1_lattice2(1510 ^ [])), 1465 : l3_lattices(k1_lattice2(1510 ^ [])), 1465 : -(v3_struct_0(1510 ^ [])), 1465 : v10_lattices(1510 ^ []), 1465 : l3_lattices(1510 ^ [])],extension(1429 ^ 5,bind([[_274760], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.2.3.1',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],extension(1542 ^ 8)).
% 19.38/19.07  ncf('1.1.2.3.2',plain,[-(v10_lattices(k1_lattice2(1510 ^ [])))],extension(1544 ^ 8)).
% 19.38/19.07  ncf('1.1.2.3.3',plain,[-(v11_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v17_lattices(k1_lattice2(1510 ^ []))],extension(602 ^ 8,bind([[_249951], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.2.3.3.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 9)).
% 19.38/19.07  ncf('1.1.2.3.3.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[2, 1, 1].x')).
% 19.38/19.07  ncf('1.1.2.3.3.3',plain,[-(v17_lattices(k1_lattice2(1510 ^ [])))],extension(1546 ^ 9)).
% 19.38/19.07  ncf('1.1.2.3.4',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 8)).
% 19.38/19.07  ncf('1.1.2.3.5',plain,[v3_struct_0(1510 ^ [])],lemmata('[1, 1].x')).
% 19.38/19.07  ncf('1.1.2.3.6',plain,[-(v10_lattices(1510 ^ []))],lemmata('[1].x')).
% 19.38/19.07  ncf('1.1.2.3.7',plain,[-(l3_lattices(1510 ^ []))],lemmata('[1, 1].x')).
% 19.38/19.07  ncf('1.1.2.4',plain,[-(v15_lattices(1510 ^ [])), 1389 : -(v3_struct_0(k1_lattice2(1510 ^ []))), 1389 : v10_lattices(k1_lattice2(1510 ^ [])), 1389 : v15_lattices(k1_lattice2(1510 ^ [])), 1389 : v16_lattices(k1_lattice2(1510 ^ [])), 1389 : l3_lattices(k1_lattice2(1510 ^ [])), 1389 : -(v3_struct_0(1510 ^ [])), 1389 : v10_lattices(1510 ^ []), 1389 : l3_lattices(1510 ^ [])],extension(1347 ^ 5,bind([[_272621], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.2.4.1',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],extension(1542 ^ 8)).
% 19.38/19.07  ncf('1.1.2.4.2',plain,[-(v10_lattices(k1_lattice2(1510 ^ [])))],extension(1544 ^ 8)).
% 19.38/19.07  ncf('1.1.2.4.3',plain,[-(v15_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v17_lattices(k1_lattice2(1510 ^ []))],extension(602 ^ 8,bind([[_249951], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.2.4.3.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 9)).
% 19.38/19.07  ncf('1.1.2.4.3.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[2, 1, 1].x')).
% 19.38/19.07  ncf('1.1.2.4.3.3',plain,[-(v17_lattices(k1_lattice2(1510 ^ [])))],extension(1546 ^ 9)).
% 19.38/19.07  ncf('1.1.2.4.4',plain,[-(v16_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v17_lattices(k1_lattice2(1510 ^ []))],extension(602 ^ 8,bind([[_249951], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.2.4.4.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 9)).
% 19.38/19.07  ncf('1.1.2.4.4.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[2, 1, 1].x')).
% 19.38/19.07  ncf('1.1.2.4.4.3',plain,[-(v17_lattices(k1_lattice2(1510 ^ [])))],extension(1546 ^ 9)).
% 19.38/19.07  ncf('1.1.2.4.5',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 8)).
% 19.38/19.07  ncf('1.1.2.4.6',plain,[v3_struct_0(1510 ^ [])],lemmata('[1, 1].x')).
% 19.38/19.07  ncf('1.1.2.4.7',plain,[-(v10_lattices(1510 ^ []))],lemmata('[1].x')).
% 19.38/19.07  ncf('1.1.2.4.8',plain,[-(l3_lattices(1510 ^ []))],lemmata('[1, 1].x')).
% 19.38/19.07  ncf('1.1.2.5',plain,[-(v16_lattices(1510 ^ [])), 1389 : -(v3_struct_0(k1_lattice2(1510 ^ []))), 1389 : v10_lattices(k1_lattice2(1510 ^ [])), 1389 : v15_lattices(k1_lattice2(1510 ^ [])), 1389 : v16_lattices(k1_lattice2(1510 ^ [])), 1389 : l3_lattices(k1_lattice2(1510 ^ [])), 1389 : -(v3_struct_0(1510 ^ [])), 1389 : v10_lattices(1510 ^ []), 1389 : l3_lattices(1510 ^ [])],extension(1347 ^ 5,bind([[_272621], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.2.5.1',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],extension(1542 ^ 8)).
% 19.38/19.07  ncf('1.1.2.5.2',plain,[-(v10_lattices(k1_lattice2(1510 ^ [])))],extension(1544 ^ 8)).
% 19.38/19.07  ncf('1.1.2.5.3',plain,[-(v15_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v17_lattices(k1_lattice2(1510 ^ []))],extension(602 ^ 8,bind([[_249951], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.2.5.3.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 9)).
% 19.38/19.07  ncf('1.1.2.5.3.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[2, 1, 1].x')).
% 19.38/19.07  ncf('1.1.2.5.3.3',plain,[-(v17_lattices(k1_lattice2(1510 ^ [])))],extension(1546 ^ 9)).
% 19.38/19.07  ncf('1.1.2.5.4',plain,[-(v16_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v17_lattices(k1_lattice2(1510 ^ []))],extension(602 ^ 8,bind([[_249951], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.2.5.4.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 9)).
% 19.38/19.07  ncf('1.1.2.5.4.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[2, 1, 1].x')).
% 19.38/19.07  ncf('1.1.2.5.4.3',plain,[-(v17_lattices(k1_lattice2(1510 ^ [])))],extension(1546 ^ 9)).
% 19.38/19.07  ncf('1.1.2.5.5',plain,[-(l3_lattices(k1_lattice2(1510 ^ [])))],extension(1548 ^ 8)).
% 19.38/19.07  ncf('1.1.2.5.6',plain,[v3_struct_0(1510 ^ [])],lemmata('[1, 1].x')).
% 19.38/19.07  ncf('1.1.2.5.7',plain,[-(v10_lattices(1510 ^ []))],lemmata('[1].x')).
% 19.38/19.07  ncf('1.1.2.5.8',plain,[-(l3_lattices(1510 ^ []))],lemmata('[1, 1].x')).
% 19.38/19.07  ncf('1.1.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 4)).
% 19.38/19.07  ncf('1.1.4',plain,[v3_struct_0(k1_lattice2(1510 ^ [])), -(v3_struct_0(1510 ^ [])), l3_lattices(1510 ^ [])],extension(867 ^ 4,bind([[_257583], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.4.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.4.2',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 5)).
% 19.38/19.07  ncf('1.1.5',plain,[-(v10_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v4_lattices(k1_lattice2(1510 ^ [])), v5_lattices(k1_lattice2(1510 ^ [])), v6_lattices(k1_lattice2(1510 ^ [])), v7_lattices(k1_lattice2(1510 ^ [])), v8_lattices(k1_lattice2(1510 ^ [])), v9_lattices(k1_lattice2(1510 ^ []))],extension(528 ^ 4,bind([[_248102], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.5.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ []))), l3_lattices(1510 ^ [])],extension(750 ^ 5,bind([[_254082], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.1.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.5.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[1].x')).
% 19.38/19.07  ncf('1.1.5.3',plain,[-(v4_lattices(k1_lattice2(1510 ^ []))), -(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), l3_lattices(1510 ^ [])],extension(1023 ^ 5,bind([[_262380], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.3.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.5.3.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.5.3.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.5.4',plain,[-(v5_lattices(k1_lattice2(1510 ^ []))), -(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), l3_lattices(1510 ^ [])],extension(1023 ^ 5,bind([[_262380], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.4.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.5.4.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.5.4.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.5.5',plain,[-(v6_lattices(k1_lattice2(1510 ^ []))), -(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), l3_lattices(1510 ^ [])],extension(1023 ^ 5,bind([[_262380], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.5.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.5.5.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.5.5.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.5.6',plain,[-(v7_lattices(k1_lattice2(1510 ^ []))), -(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), l3_lattices(1510 ^ [])],extension(1023 ^ 5,bind([[_262380], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.6.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.5.6.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.5.6.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.5.7',plain,[-(v8_lattices(k1_lattice2(1510 ^ []))), -(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), l3_lattices(1510 ^ [])],extension(1023 ^ 5,bind([[_262380], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.7.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.5.7.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.5.7.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.5.8',plain,[-(v9_lattices(k1_lattice2(1510 ^ []))), -(v3_struct_0(1510 ^ [])), v10_lattices(1510 ^ []), l3_lattices(1510 ^ [])],extension(1023 ^ 5,bind([[_262380], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.5.8.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.5.8.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.5.8.3',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.6',plain,[-(v17_lattices(k1_lattice2(1510 ^ []))), l3_lattices(k1_lattice2(1510 ^ [])), -(v3_struct_0(k1_lattice2(1510 ^ []))), v11_lattices(k1_lattice2(1510 ^ [])), v15_lattices(k1_lattice2(1510 ^ [])), v16_lattices(k1_lattice2(1510 ^ []))],extension(626 ^ 4,bind([[_250658], [k1_lattice2(1510 ^ [])]]))).
% 19.38/19.07  ncf('1.1.6.1',plain,[-(l3_lattices(k1_lattice2(1510 ^ []))), l3_lattices(1510 ^ [])],extension(750 ^ 5,bind([[_254082], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.1.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.6.2',plain,[v3_struct_0(k1_lattice2(1510 ^ []))],lemmata('[1].x')).
% 19.38/19.07  ncf('1.1.6.3',plain,[-(v11_lattices(k1_lattice2(1510 ^ []))), 1441 : -(v3_struct_0(1510 ^ [])), 1441 : v10_lattices(1510 ^ []), 1441 : v11_lattices(1510 ^ []), 1441 : l3_lattices(1510 ^ []), 1441 : -(v3_struct_0(1510 ^ [])), 1441 : v10_lattices(1510 ^ []), 1441 : l3_lattices(1510 ^ [])],extension(1429 ^ 5,bind([[_274760], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.3.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.6.3.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 8)).
% 19.38/19.07  ncf('1.1.6.3.3',plain,[-(v11_lattices(1510 ^ [])), l3_lattices(1510 ^ []), -(v3_struct_0(1510 ^ [])), v17_lattices(1510 ^ [])],extension(602 ^ 8,bind([[_249951], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.3.3.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 9)).
% 19.38/19.07  ncf('1.1.6.3.3.2',plain,[v3_struct_0(1510 ^ [])],lemmata('[6, 1, 1].x')).
% 19.38/19.07  ncf('1.1.6.3.3.3',plain,[-(v17_lattices(1510 ^ []))],extension(1524 ^ 9)).
% 19.38/19.07  ncf('1.1.6.3.4',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 8)).
% 19.38/19.07  ncf('1.1.6.3.5',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.6.3.6',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.6.3.7',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.6.4',plain,[-(v15_lattices(k1_lattice2(1510 ^ []))), 1359 : -(v3_struct_0(1510 ^ [])), 1359 : v10_lattices(1510 ^ []), 1359 : v15_lattices(1510 ^ []), 1359 : v16_lattices(1510 ^ []), 1359 : l3_lattices(1510 ^ []), 1359 : -(v3_struct_0(1510 ^ [])), 1359 : v10_lattices(1510 ^ []), 1359 : l3_lattices(1510 ^ [])],extension(1347 ^ 5,bind([[_272621], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.4.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.6.4.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 8)).
% 19.38/19.07  ncf('1.1.6.4.3',plain,[-(v15_lattices(1510 ^ [])), l3_lattices(1510 ^ []), -(v3_struct_0(1510 ^ [])), v17_lattices(1510 ^ [])],extension(602 ^ 8,bind([[_249951], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.4.3.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 9)).
% 19.38/19.07  ncf('1.1.6.4.3.2',plain,[v3_struct_0(1510 ^ [])],lemmata('[6, 1, 1].x')).
% 19.38/19.07  ncf('1.1.6.4.3.3',plain,[-(v17_lattices(1510 ^ []))],extension(1524 ^ 9)).
% 19.38/19.07  ncf('1.1.6.4.4',plain,[-(v16_lattices(1510 ^ [])), l3_lattices(1510 ^ []), -(v3_struct_0(1510 ^ [])), v17_lattices(1510 ^ [])],extension(602 ^ 8,bind([[_249951], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.4.4.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 9)).
% 19.38/19.07  ncf('1.1.6.4.4.2',plain,[v3_struct_0(1510 ^ [])],lemmata('[6, 1, 1].x')).
% 19.38/19.07  ncf('1.1.6.4.4.3',plain,[-(v17_lattices(1510 ^ []))],extension(1524 ^ 9)).
% 19.38/19.07  ncf('1.1.6.4.5',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 8)).
% 19.38/19.07  ncf('1.1.6.4.6',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.6.4.7',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.6.4.8',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.6.5',plain,[-(v16_lattices(k1_lattice2(1510 ^ []))), 1359 : -(v3_struct_0(1510 ^ [])), 1359 : v10_lattices(1510 ^ []), 1359 : v15_lattices(1510 ^ []), 1359 : v16_lattices(1510 ^ []), 1359 : l3_lattices(1510 ^ []), 1359 : -(v3_struct_0(1510 ^ [])), 1359 : v10_lattices(1510 ^ []), 1359 : l3_lattices(1510 ^ [])],extension(1347 ^ 5,bind([[_272621], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.5.1',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.6.5.2',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 8)).
% 19.38/19.07  ncf('1.1.6.5.3',plain,[-(v15_lattices(1510 ^ [])), l3_lattices(1510 ^ []), -(v3_struct_0(1510 ^ [])), v17_lattices(1510 ^ [])],extension(602 ^ 8,bind([[_249951], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.5.3.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 9)).
% 19.38/19.07  ncf('1.1.6.5.3.2',plain,[v3_struct_0(1510 ^ [])],lemmata('[6, 1, 1].x')).
% 19.38/19.07  ncf('1.1.6.5.3.3',plain,[-(v17_lattices(1510 ^ []))],extension(1524 ^ 9)).
% 19.38/19.07  ncf('1.1.6.5.4',plain,[-(v16_lattices(1510 ^ [])), l3_lattices(1510 ^ []), -(v3_struct_0(1510 ^ [])), v17_lattices(1510 ^ [])],extension(602 ^ 8,bind([[_249951], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.6.5.4.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 9)).
% 19.38/19.07  ncf('1.1.6.5.4.2',plain,[v3_struct_0(1510 ^ [])],lemmata('[6, 1, 1].x')).
% 19.38/19.07  ncf('1.1.6.5.4.3',plain,[-(v17_lattices(1510 ^ []))],extension(1524 ^ 9)).
% 19.38/19.07  ncf('1.1.6.5.5',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 8)).
% 19.38/19.07  ncf('1.1.6.5.6',plain,[v3_struct_0(1510 ^ [])],reduction('1')).
% 19.38/19.07  ncf('1.1.6.5.7',plain,[-(v10_lattices(1510 ^ []))],extension(1514 ^ 6)).
% 19.38/19.07  ncf('1.1.6.5.8',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 6)).
% 19.38/19.07  ncf('1.1.7',plain,[-(l3_lattices(k1_lattice2(1510 ^ []))), l3_lattices(1510 ^ [])],extension(750 ^ 4,bind([[_254082], [1510 ^ []]]))).
% 19.38/19.07  ncf('1.1.7.1',plain,[-(l3_lattices(1510 ^ []))],extension(1516 ^ 5)).
% 19.38/19.07  %-----------------------------------------------------
% 19.38/19.07  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------