%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:16:18 EDT 2023

% Result   : Theorem 0.53s 1.37s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GRP618+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 : Fri May 19 01:53:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.53/1.37  
% 0.53/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.53/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/1.37  %-----------------------------------------------------
% 0.53/1.37  ncf(matrix, plain, [(1016 ^ _151869) ^ [] : [v3_struct_0(1014 ^ [])], (1018 ^ _151869) ^ [] : [-(v1_group_1(1014 ^ []))], (1020 ^ _151869) ^ [] : [-(v3_group_1(1014 ^ []))], (1022 ^ _151869) ^ [] : [-(v4_group_1(1014 ^ []))], (1024 ^ _151869) ^ [] : [-(l1_group_1(1014 ^ []))], (1027 ^ _151869) ^ [] : [-(m1_group_2(1025 ^ [], 1014 ^ []))], (1029 ^ _151869) ^ [] : [1046 ^ _151869 : [(1047 ^ _151869) ^ [] : [-(v1_group_3(1025 ^ [], 1014 ^ []))], (1050 ^ _151869) ^ [] : [-(m1_subset_1(1048 ^ [], u1_struct_0(1014 ^ [])))], (1053 ^ _151869) ^ [] : [-(m1_subset_1(1051 ^ [], u1_struct_0(1014 ^ [])))], (1055 ^ _151869) ^ [] : [-(m1_subset_1(1051 ^ [], u1_struct_0(1025 ^ [])))], (1057 ^ _151869) ^ [] : [r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 1051 ^ [], 1048 ^ []))]], 1030 ^ _151869 : [(1045 ^ _151869) ^ [] : [v1_group_3(1025 ^ [], 1014 ^ [])], (1031 ^ _151869) ^ [_184750] : [m1_subset_1(_184750, u1_struct_0(1014 ^ [])), 1034 ^ _151869 : [(1035 ^ _151869) ^ [_184893] : [m1_subset_1(_184893, u1_struct_0(1014 ^ [])), m1_subset_1(_184893, u1_struct_0(1025 ^ [])), -(r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], _184893, _184750)))]]]]], (286 ^ _151869) ^ [_161060, _161062] : [_161062 = _161060, -(k1_zfmisc_1(_161062) = k1_zfmisc_1(_161060))], (292 ^ _151869) ^ [_161306, _161308, _161310, _161312] : [-(k2_zfmisc_1(_161312, _161308) = k2_zfmisc_1(_161310, _161306)), _161312 = _161310, _161308 = _161306], (302 ^ _151869) ^ [_161665, _161667, _161669, _161671] : [-(g1_group_1(_161671, _161667) = g1_group_1(_161669, _161665)), _161671 = _161669, _161667 = _161665], (312 ^ _151869) ^ [_161996, _161998] : [_161998 = _161996, -(u1_group_1(_161998) = u1_group_1(_161996))], (318 ^ _151869) ^ [_162214, _162216] : [_162216 = _162214, -(u1_struct_0(_162216) = u1_struct_0(_162214))], (324 ^ _151869) ^ [_162468, _162470, _162472, _162474, _162476, _162478] : [-(k2_group_3(_162478, _162474, _162470) = k2_group_3(_162476, _162472, _162468)), _162478 = _162476, _162474 = _162472, _162470 = _162468], (2 ^ _151869) ^ [_152013] : [-(_152013 = _152013)], (4 ^ _151869) ^ [_152120, _152122] : [_152122 = _152120, -(_152120 = _152122)], (10 ^ _151869) ^ [_152324, _152326, _152328] : [-(_152328 = _152324), _152328 = _152326, _152326 = _152324], (20 ^ _151869) ^ [_152637, _152639] : [-(v2_funct_1(_152637)), _152639 = _152637, v2_funct_1(_152639)], (30 ^ _151869) ^ [_152932, _152934] : [-(v1_relat_1(_152932)), _152934 = _152932, v1_relat_1(_152934)], (40 ^ _151869) ^ [_153255, _153257, _153259, _153261] : [-(r1_tarski(_153259, _153255)), r1_tarski(_153261, _153257), _153261 = _153259, _153257 = _153255], (54 ^ _151869) ^ [_153727, _153729, _153731, _153733, _153735, _153737] : [-(v1_partfun1(_153735, _153731, _153727)), v1_partfun1(_153737, _153733, _153729), _153737 = _153735, _153733 = _153731, _153729 = _153727], (72 ^ _151869) ^ [_154308, _154310, _154312, _154314] : [-(r2_hidden(_154312, _154308)), r2_hidden(_154314, _154310), _154314 = _154312, _154310 = _154308], (86 ^ _151869) ^ [_154780, _154782, _154784, _154786, _154788, _154790] : [-(m1_relset_1(_154788, _154784, _154780)), m1_relset_1(_154790, _154786, _154782), _154790 = _154788, _154786 = _154784, _154782 = _154780], (104 ^ _151869) ^ [_155333, _155335] : [-(v1_funct_1(_155333)), _155335 = _155333, v1_funct_1(_155335)], (114 ^ _151869) ^ [_155684, _155686, _155688, _155690, _155692, _155694] : [-(v1_funct_2(_155692, _155688, _155684)), v1_funct_2(_155694, _155690, _155686), _155694 = _155692, _155690 = _155688, _155686 = _155684], (132 ^ _151869) ^ [_156293, _156295, _156297, _156299, _156301, _156303] : [-(m2_relset_1(_156301, _156297, _156293)), m2_relset_1(_156303, _156299, _156295), _156303 = _156301, _156299 = _156297, _156295 = _156293], (150 ^ _151869) ^ [_156846, _156848] : [-(v1_xboole_0(_156846)), _156848 = _156846, v1_xboole_0(_156848)], (160 ^ _151869) ^ [_157141, _157143] : [-(l1_struct_0(_157141)), _157143 = _157141, l1_struct_0(_157143)], (170 ^ _151869) ^ [_157436, _157438] : [-(v2_group_1(_157436)), _157438 = _157436, v2_group_1(_157438)], (180 ^ _151869) ^ [_157731, _157733] : [-(v3_struct_0(_157731)), _157733 = _157731, v3_struct_0(_157733)], (190 ^ _151869) ^ [_158026, _158028] : [-(v1_group_1(_158026)), _158028 = _158026, v1_group_1(_158028)], (200 ^ _151869) ^ [_158321, _158323] : [-(v3_group_1(_158321)), _158323 = _158321, v3_group_1(_158323)], (210 ^ _151869) ^ [_158616, _158618] : [-(v4_group_1(_158616)), _158618 = _158616, v4_group_1(_158618)], (220 ^ _151869) ^ [_158911, _158913] : [-(l1_group_1(_158911)), _158913 = _158911, l1_group_1(_158913)], (230 ^ _151869) ^ [_159234, _159236, _159238, _159240] : [-(m1_group_2(_159238, _159234)), m1_group_2(_159240, _159236), _159240 = _159238, _159236 = _159234], (244 ^ _151869) ^ [_159678, _159680, _159682, _159684] : [-(m1_subset_1(_159682, _159678)), m1_subset_1(_159684, _159680), _159684 = _159682, _159680 = _159678], (258 ^ _151869) ^ [_160122, _160124, _160126, _160128] : [-(r1_rlvect_1(_160126, _160122)), r1_rlvect_1(_160128, _160124), _160128 = _160126, _160124 = _160122], (272 ^ _151869) ^ [_160546, _160548, _160550, _160552] : [-(v1_group_3(_160550, _160546)), v1_group_3(_160552, _160548), _160552 = _160550, _160548 = _160546], (339 ^ _151869) ^ [] : [-(v1_relat_1(337 ^ []))], (341 ^ _151869) ^ [] : [-(v1_funct_1(337 ^ []))], (343 ^ _151869) ^ [] : [-(v2_funct_1(337 ^ []))], (345 ^ _151869) ^ [] : [-(v1_xboole_0(337 ^ []))], (348 ^ _151869) ^ [] : [-(v1_relat_1(346 ^ []))], (350 ^ _151869) ^ [] : [-(v1_funct_1(346 ^ []))], (352 ^ _151869) ^ [] : [-(v2_funct_1(346 ^ []))], (354 ^ _151869) ^ [_163417, _163419] : [-(r1_tarski(_163419, _163419))], (356 ^ _151869) ^ [_163512] : [367 ^ _151869 : [(368 ^ _151869) ^ [] : [-(v1_relat_1(_163512))], (370 ^ _151869) ^ [] : [-(v1_funct_1(_163512))], (372 ^ _151869) ^ [] : [-(v2_funct_1(_163512))]], v1_relat_1(_163512), v1_xboole_0(_163512), v1_funct_1(_163512)], (375 ^ _151869) ^ [] : [-(v1_relat_1(373 ^ []))], (377 ^ _151869) ^ [] : [-(v1_funct_1(373 ^ []))], (380 ^ _151869) ^ [_164232, _164234] : [-(m1_relset_1(378 ^ [_164232, _164234], _164234, _164232))], (382 ^ _151869) ^ [_164306, _164308] : [-(v1_relat_1(378 ^ [_164306, _164308]))], (384 ^ _151869) ^ [_164378, _164380] : [-(v1_funct_1(378 ^ [_164378, _164380]))], (386 ^ _151869) ^ [_164430, _164432] : [-(v1_funct_2(378 ^ [_164430, _164432], _164432, _164430))], (389 ^ _151869) ^ [] : [-(v1_relat_1(387 ^ []))], (391 ^ _151869) ^ [] : [-(v1_xboole_0(387 ^ []))], (393 ^ _151869) ^ [] : [-(v1_funct_1(387 ^ []))], (396 ^ _151869) ^ [_164819, _164821] : [-(m1_relset_1(394 ^ [_164819, _164821], _164821, _164819))], (398 ^ _151869) ^ [_164893, _164895] : [-(v1_relat_1(394 ^ [_164893, _164895]))], (400 ^ _151869) ^ [_164945, _164947] : [-(v1_funct_1(394 ^ [_164945, _164947]))], (402 ^ _151869) ^ [_165064, _165066] : [r2_hidden(_165066, _165064), r2_hidden(_165064, _165066)], (408 ^ _151869) ^ [] : [true___, -(true___)], (414 ^ _151869) ^ [] : [true___, -(true___)], (420 ^ _151869) ^ [_165527, _165529, _165531] : [m1_relset_1(_165527, _165531, _165529), 431 ^ _151869 : [(432 ^ _151869) ^ [] : [-(v1_funct_1(_165527))], (434 ^ _151869) ^ [] : [-(v1_funct_2(_165527, _165531, _165529))]], v1_funct_1(_165527), v1_partfun1(_165527, _165531, _165529)], (436 ^ _151869) ^ [_166022, _166024, _166026] : [m1_subset_1(_166022, k1_zfmisc_1(k2_zfmisc_1(_166026, _166024))), -(v1_relat_1(_166022))], (442 ^ _151869) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (444 ^ _151869) ^ [_166285] : [452 ^ _151869 : [(453 ^ _151869) ^ [] : [-(m1_subset_1(451 ^ [_166285], k1_zfmisc_1(u1_struct_0(_166285))))], (455 ^ _151869) ^ [] : [v1_xboole_0(451 ^ [_166285])]], -(v3_struct_0(_166285)), l1_struct_0(_166285)], (457 ^ _151869) ^ [_166720, _166722] : [r2_hidden(_166722, _166720), -(m1_subset_1(_166722, _166720))], (463 ^ _151869) ^ [_166959, _166961] : [m1_subset_1(_166961, k1_zfmisc_1(_166959)), -(r1_tarski(_166961, _166959))], (469 ^ _151869) ^ [_167125, _167127] : [r1_tarski(_167127, _167125), -(m1_subset_1(_167127, k1_zfmisc_1(_167125)))], (475 ^ _151869) ^ [_167355, _167357, _167359] : [-(m1_subset_1(_167359, _167355)), r2_hidden(_167359, _167357), m1_subset_1(_167357, k1_zfmisc_1(_167355))], (485 ^ _151869) ^ [_167682, _167684, _167686] : [r2_hidden(_167686, _167684), m1_subset_1(_167684, k1_zfmisc_1(_167682)), v1_xboole_0(_167682)], (496 ^ _151869) ^ [_168019, _168021] : [-(m1_relset_1(494 ^ [_168019, _168021], _168021, _168019))], (499 ^ _151869) ^ [_168163, _168165] : [-(m2_relset_1(497 ^ [_168163, _168165], _168165, _168163))], (501 ^ _151869) ^ [_168323, _168325, _168327] : [m2_relset_1(_168323, _168327, _168325), -(m1_relset_1(_168323, _168327, _168325))], (507 ^ _151869) ^ [_168495, _168497, _168499] : [m1_relset_1(_168495, _168499, _168497), -(m2_relset_1(_168495, _168499, _168497))], (513 ^ _151869) ^ [] : [true___, -(true___)], (519 ^ _151869) ^ [] : [true___, -(true___)], (525 ^ _151869) ^ [_168969, _168971, _168973] : [m2_relset_1(_168969, _168973, _168971), -(m1_subset_1(_168969, k1_zfmisc_1(k2_zfmisc_1(_168973, _168971))))], (531 ^ _151869) ^ [_169183] : [v1_xboole_0(_169183), -(v1_funct_1(_169183))], (537 ^ _151869) ^ [_169383, _169385] : [-(v1_xboole_0(_169383)), 540 ^ _151869 : [(541 ^ _151869) ^ [_169547] : [m1_relset_1(_169547, _169385, _169383), 552 ^ _151869 : [(553 ^ _151869) ^ [] : [-(v1_funct_1(_169547))], (555 ^ _151869) ^ [] : [-(v1_partfun1(_169547, _169385, _169383))], (557 ^ _151869) ^ [] : [-(v1_funct_2(_169547, _169385, _169383))]], v1_funct_1(_169547), v1_funct_2(_169547, _169385, _169383)]]], (559 ^ _151869) ^ [_170115, _170117] : [-(v1_xboole_0(_170117)), -(v1_xboole_0(_170115)), 566 ^ _151869 : [(567 ^ _151869) ^ [_170376] : [m1_relset_1(_170376, _170117, _170115), 578 ^ _151869 : [(579 ^ _151869) ^ [] : [-(v1_funct_1(_170376))], (581 ^ _151869) ^ [] : [v1_xboole_0(_170376)], (583 ^ _151869) ^ [] : [-(v1_partfun1(_170376, _170117, _170115))], (585 ^ _151869) ^ [] : [-(v1_funct_2(_170376, _170117, _170115))]], v1_funct_1(_170376), v1_funct_2(_170376, _170117, _170115)]]], (587 ^ _151869) ^ [_171021, _171023] : [602 ^ _151869 : [(603 ^ _151869) ^ [] : [v3_struct_0(g1_group_1(_171023, _171021))], (605 ^ _151869) ^ [] : [-(v1_group_1(g1_group_1(_171023, _171021)))]], -(v1_xboole_0(_171023)), v1_funct_1(_171021), v1_funct_2(_171021, k2_zfmisc_1(_171023, _171023), _171023), m1_relset_1(_171021, k2_zfmisc_1(_171023, _171023), _171023)], (608 ^ _151869) ^ [] : [-(v1_xboole_0(606 ^ []))], (611 ^ _151869) ^ [] : [v1_xboole_0(609 ^ [])], (613 ^ _151869) ^ [_171776, _171778] : [m1_subset_1(_171778, _171776), -(v1_xboole_0(_171776)), -(r2_hidden(_171778, _171776))], (623 ^ _151869) ^ [_172060] : [v1_xboole_0(_172060), -(_172060 = k1_xboole_0)], (629 ^ _151869) ^ [_172262, _172264] : [r2_hidden(_172264, _172262), v1_xboole_0(_172262)], (635 ^ _151869) ^ [_172469, _172471] : [v1_xboole_0(_172471), -(_172471 = _172469), v1_xboole_0(_172469)], (645 ^ _151869) ^ [_172766, _172768] : [656 ^ _151869 : [(657 ^ _151869) ^ [_173126, _173128] : [g1_group_1(_172768, _172766) = g1_group_1(_173128, _173126), 660 ^ _151869 : [(661 ^ _151869) ^ [] : [-(_172768 = _173128)], (663 ^ _151869) ^ [] : [-(_172766 = _173126)]]]], v1_funct_1(_172766), v1_funct_2(_172766, k2_zfmisc_1(_172768, _172768), _172768), m1_relset_1(_172766, k2_zfmisc_1(_172768, _172768), _172768)], (666 ^ _151869) ^ [] : [-(l1_struct_0(664 ^ []))], (668 ^ _151869) ^ [_173537, _173539] : [679 ^ _151869 : [(680 ^ _151869) ^ [] : [-(v1_group_1(g1_group_1(_173539, _173537)))], (682 ^ _151869) ^ [] : [-(l1_group_1(g1_group_1(_173539, _173537)))]], v1_funct_1(_173537), v1_funct_2(_173537, k2_zfmisc_1(_173539, _173539), _173539), m1_relset_1(_173537, k2_zfmisc_1(_173539, _173539), _173539)], (684 ^ _151869) ^ [] : [true___, -(true___)], (690 ^ _151869) ^ [_174127] : [l1_group_1(_174127), 693 ^ _151869 : [(694 ^ _151869) ^ [] : [-(v1_funct_1(u1_group_1(_174127)))], (696 ^ _151869) ^ [] : [-(v1_funct_2(u1_group_1(_174127), k2_zfmisc_1(u1_struct_0(_174127), u1_struct_0(_174127)), u1_struct_0(_174127)))], (698 ^ _151869) ^ [] : [-(m2_relset_1(u1_group_1(_174127), k2_zfmisc_1(u1_struct_0(_174127), u1_struct_0(_174127)), u1_struct_0(_174127)))]]], (700 ^ _151869) ^ [_174510] : [v1_xboole_0(u1_struct_0(_174510)), -(v3_struct_0(_174510)), l1_struct_0(_174510)], (710 ^ _151869) ^ [_174787] : [726 ^ _151869 : [(727 ^ _151869) ^ [] : [-(m1_group_2(725 ^ [_174787], _174787))], (729 ^ _151869) ^ [] : [v3_struct_0(725 ^ [_174787])], (731 ^ _151869) ^ [] : [-(v1_group_1(725 ^ [_174787]))], (733 ^ _151869) ^ [] : [-(v2_group_1(725 ^ [_174787]))], (735 ^ _151869) ^ [] : [-(v3_group_1(725 ^ [_174787]))], (737 ^ _151869) ^ [] : [-(v4_group_1(725 ^ [_174787]))]], -(v3_struct_0(_174787)), v3_group_1(_174787), v4_group_1(_174787), l1_group_1(_174787)], (739 ^ _151869) ^ [_175682] : [755 ^ _151869 : [(756 ^ _151869) ^ [] : [-(m1_group_2(754 ^ [_175682], _175682))], (758 ^ _151869) ^ [] : [v3_struct_0(754 ^ [_175682])], (760 ^ _151869) ^ [] : [-(v1_group_1(754 ^ [_175682]))], (762 ^ _151869) ^ [] : [-(v2_group_1(754 ^ [_175682]))], (764 ^ _151869) ^ [] : [-(v3_group_1(754 ^ [_175682]))], (766 ^ _151869) ^ [] : [-(v4_group_1(754 ^ [_175682]))], (768 ^ _151869) ^ [] : [-(v1_group_3(754 ^ [_175682], _175682))]], -(v3_struct_0(_175682)), v3_group_1(_175682), v4_group_1(_175682), l1_group_1(_175682)], (771 ^ _151869) ^ [] : [-(l1_group_1(769 ^ []))], (773 ^ _151869) ^ [] : [v3_struct_0(769 ^ [])], (775 ^ _151869) ^ [] : [-(v1_group_1(769 ^ []))], (777 ^ _151869) ^ [] : [-(v2_group_1(769 ^ []))], (779 ^ _151869) ^ [] : [-(v3_group_1(769 ^ []))], (781 ^ _151869) ^ [] : [-(v4_group_1(769 ^ []))], (784 ^ _151869) ^ [] : [-(l1_struct_0(782 ^ []))], (786 ^ _151869) ^ [] : [v3_struct_0(782 ^ [])], (788 ^ _151869) ^ [_177200] : [l1_group_1(_177200), v1_group_1(_177200), -(_177200 = g1_group_1(u1_struct_0(_177200), u1_group_1(_177200)))], (799 ^ _151869) ^ [] : [-(l1_group_1(797 ^ []))], (801 ^ _151869) ^ [_177574] : [-(m1_group_2(812 ^ [_177574], _177574)), -(v3_struct_0(_177574)), v3_group_1(_177574), l1_group_1(_177574)], (817 ^ _151869) ^ [_178006] : [-(m1_subset_1(815 ^ [_178006], _178006))], (819 ^ _151869) ^ [_178132, _178134, _178136] : [-(m1_subset_1(k2_group_3(_178136, _178134, _178132), u1_struct_0(_178136))), -(v3_struct_0(_178136)), v3_group_1(_178136), v4_group_1(_178136), l1_group_1(_178136), m1_subset_1(_178134, u1_struct_0(_178136)), m1_subset_1(_178132, u1_struct_0(_178136))], (845 ^ _151869) ^ [_178814] : [l1_group_1(_178814), -(l1_struct_0(_178814))], (851 ^ _151869) ^ [_179000] : [862 ^ _151869 : [(863 ^ _151869) ^ [_179311] : [m1_group_2(_179311, _179000), 866 ^ _151869 : [(867 ^ _151869) ^ [] : [v3_struct_0(_179311)], (869 ^ _151869) ^ [] : [-(v3_group_1(_179311))], (871 ^ _151869) ^ [] : [-(l1_group_1(_179311))]]]], -(v3_struct_0(_179000)), v3_group_1(_179000), l1_group_1(_179000)], (873 ^ _151869) ^ [] : [true___, -(true___)], (879 ^ _151869) ^ [] : [true___, -(true___)], (885 ^ _151869) ^ [_179896] : [l1_group_1(_179896), 896 ^ _151869 : [(897 ^ _151869) ^ [] : [v3_struct_0(_179896)], (899 ^ _151869) ^ [] : [-(v2_group_1(_179896))]], -(v3_struct_0(_179896)), v3_group_1(_179896)], (901 ^ _151869) ^ [_180323] : [916 ^ _151869 : [(917 ^ _151869) ^ [_180705] : [m1_group_2(_180705, _180323), -(v4_group_1(_180705))]], -(v3_struct_0(_180323)), v3_group_1(_180323), v4_group_1(_180323), l1_group_1(_180323)], (924 ^ _151869) ^ [] : [-(l1_group_1(922 ^ []))], (926 ^ _151869) ^ [] : [-(v1_group_1(922 ^ []))], (929 ^ _151869) ^ [] : [-(l1_group_1(927 ^ []))], (931 ^ _151869) ^ [] : [v3_struct_0(927 ^ [])], (933 ^ _151869) ^ [] : [-(v1_group_1(927 ^ []))], (935 ^ _151869) ^ [_181265] : [954 ^ _151869 : [(955 ^ _151869) ^ [_181775] : [m1_group_2(_181775, _181265), 961 ^ _151869 : [(962 ^ _151869) ^ [] : [-(m1_subset_1(960 ^ [_181265, _181775], u1_struct_0(_181265)))], (965 ^ _151869) ^ [] : [-(m1_subset_1(963 ^ [_181265, _181775], u1_struct_0(_181265)))], (967 ^ _151869) ^ [] : [-(m1_subset_1(963 ^ [_181265, _181775], u1_struct_0(_181775)))], (969 ^ _151869) ^ [] : [r1_rlvect_1(_181775, k2_group_3(_181265, 963 ^ [_181265, _181775], 960 ^ [_181265, _181775]))]], -(v1_group_3(_181775, _181265))]], -(v3_struct_0(_181265)), v1_group_1(_181265), v3_group_1(_181265), v4_group_1(_181265), l1_group_1(_181265)], (973 ^ _151869) ^ [_182485] : [-(v3_struct_0(_182485)), v1_group_1(_182485), v3_group_1(_182485), v4_group_1(_182485), l1_group_1(_182485), 992 ^ _151869 : [(993 ^ _151869) ^ [_182995] : [m1_group_2(_182995, _182485), v1_group_3(_182995, _182485), 1000 ^ _151869 : [(1001 ^ _151869) ^ [_183246] : [m1_subset_1(_183246, u1_struct_0(_182485)), 1004 ^ _151869 : [(1005 ^ _151869) ^ [_183409] : [m1_subset_1(_183409, u1_struct_0(_182485)), m1_subset_1(_183409, u1_struct_0(_182995)), -(r1_rlvect_1(_182995, k2_group_3(_182485, _183409, _183246)))]]]]]]]], input).
% 0.53/1.38  ncf('1',plain,[v3_struct_0(1014 ^ [])],start(1016 ^ 0)).
% 0.53/1.38  ncf('1.1',plain,[-(v3_struct_0(1014 ^ [])), 955 : m1_group_2(1025 ^ [], 1014 ^ []), 965 : -(m1_subset_1(963 ^ [1014 ^ [], 1025 ^ []], u1_struct_0(1014 ^ []))), 965 : -(v1_group_3(1025 ^ [], 1014 ^ [])), 955 : v1_group_1(1014 ^ []), 955 : v3_group_1(1014 ^ []), 955 : v4_group_1(1014 ^ []), 955 : l1_group_1(1014 ^ [])],extension(935 ^ 1,bind([[_181265, _181775], [1014 ^ [], 1025 ^ []]]))).
% 0.53/1.38  ncf('1.1.1',plain,[-(m1_group_2(1025 ^ [], 1014 ^ []))],extension(1027 ^ 4)).
% 0.53/1.38  ncf('1.1.2',plain,[m1_subset_1(963 ^ [1014 ^ [], 1025 ^ []], u1_struct_0(1014 ^ [])), 1035 : m1_subset_1(963 ^ [1014 ^ [], 1025 ^ []], u1_struct_0(1025 ^ [])), 1035 : -(r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 963 ^ [1014 ^ [], 1025 ^ []], 960 ^ [1014 ^ [], 1025 ^ []]))), 1035 : m1_subset_1(960 ^ [1014 ^ [], 1025 ^ []], u1_struct_0(1014 ^ [])), 1057 : r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 1051 ^ [], 1048 ^ []))],extension(1029 ^ 6,bind([[_184750, _184893], [960 ^ [1014 ^ [], 1025 ^ []], 963 ^ [1014 ^ [], 1025 ^ []]]]))).
% 0.53/1.38  ncf('1.1.2.1',plain,[-(m1_subset_1(963 ^ [1014 ^ [], 1025 ^ []], u1_struct_0(1025 ^ [])))],extension(967 ^ 11)).
% 0.53/1.38  ncf('1.1.2.2',plain,[r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 963 ^ [1014 ^ [], 1025 ^ []], 960 ^ [1014 ^ [], 1025 ^ []]))],extension(969 ^ 11)).
% 0.53/1.38  ncf('1.1.2.3',plain,[-(m1_subset_1(960 ^ [1014 ^ [], 1025 ^ []], u1_struct_0(1014 ^ [])))],extension(962 ^ 9)).
% 0.53/1.38  ncf('1.1.2.4',plain,[-(r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 1051 ^ [], 1048 ^ []))), 1005 : m1_subset_1(1051 ^ [], u1_struct_0(1014 ^ [])), 1005 : m1_subset_1(1051 ^ [], u1_struct_0(1025 ^ [])), 1005 : m1_subset_1(1048 ^ [], u1_struct_0(1014 ^ [])), 1001 : m1_group_2(1025 ^ [], 1014 ^ []), 1001 : v1_group_3(1025 ^ [], 1014 ^ []), 993 : -(v3_struct_0(1014 ^ [])), 993 : v1_group_1(1014 ^ []), 993 : v3_group_1(1014 ^ []), 993 : v4_group_1(1014 ^ []), 993 : l1_group_1(1014 ^ [])],extension(973 ^ 9,bind([[_182485, _182995, _183246, _183409], [1014 ^ [], 1025 ^ [], 1048 ^ [], 1051 ^ []]]))).
% 0.53/1.38  ncf('1.1.2.4.1',plain,[-(m1_subset_1(1051 ^ [], u1_struct_0(1014 ^ [])))],extension(1053 ^ 16)).
% 0.53/1.38  ncf('1.1.2.4.2',plain,[-(m1_subset_1(1051 ^ [], u1_struct_0(1025 ^ [])))],extension(1055 ^ 16)).
% 0.53/1.38  ncf('1.1.2.4.3',plain,[-(m1_subset_1(1048 ^ [], u1_struct_0(1014 ^ [])))],extension(1050 ^ 14)).
% 0.53/1.38  ncf('1.1.2.4.4',plain,[-(m1_group_2(1025 ^ [], 1014 ^ []))],lemmata('[1].x')).
% 0.53/1.38  ncf('1.1.2.4.5',plain,[-(v1_group_3(1025 ^ [], 1014 ^ []))],extension(1047 ^ 12)).
% 0.53/1.38  ncf('1.1.2.4.6',plain,[v3_struct_0(1014 ^ [])],reduction('1')).
% 0.53/1.38  ncf('1.1.2.4.7',plain,[-(v1_group_1(1014 ^ []))],extension(1018 ^ 10)).
% 0.53/1.38  ncf('1.1.2.4.8',plain,[-(v3_group_1(1014 ^ []))],extension(1020 ^ 10)).
% 0.53/1.38  ncf('1.1.2.4.9',plain,[-(v4_group_1(1014 ^ []))],extension(1022 ^ 10)).
% 0.53/1.38  ncf('1.1.2.4.10',plain,[-(l1_group_1(1014 ^ []))],extension(1024 ^ 10)).
% 0.53/1.38  ncf('1.1.3',plain,[v1_group_3(1025 ^ [], 1014 ^ []), 1057 : r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 1051 ^ [], 1048 ^ []))],extension(1029 ^ 4)).
% 0.53/1.38  ncf('1.1.3.1',plain,[-(r1_rlvect_1(1025 ^ [], k2_group_3(1014 ^ [], 1051 ^ [], 1048 ^ []))), 1005 : m1_subset_1(1051 ^ [], u1_struct_0(1014 ^ [])), 1005 : m1_subset_1(1051 ^ [], u1_struct_0(1025 ^ [])), 1005 : m1_subset_1(1048 ^ [], u1_struct_0(1014 ^ [])), 1001 : m1_group_2(1025 ^ [], 1014 ^ []), 1001 : v1_group_3(1025 ^ [], 1014 ^ []), 993 : -(v3_struct_0(1014 ^ [])), 993 : v1_group_1(1014 ^ []), 993 : v3_group_1(1014 ^ []), 993 : v4_group_1(1014 ^ []), 993 : l1_group_1(1014 ^ [])],extension(973 ^ 7,bind([[_182485, _182995, _183246, _183409], [1014 ^ [], 1025 ^ [], 1048 ^ [], 1051 ^ []]]))).
% 0.53/1.38  ncf('1.1.3.1.1',plain,[-(m1_subset_1(1051 ^ [], u1_struct_0(1014 ^ [])))],extension(1053 ^ 14)).
% 0.53/1.38  ncf('1.1.3.1.2',plain,[-(m1_subset_1(1051 ^ [], u1_struct_0(1025 ^ [])))],extension(1055 ^ 14)).
% 0.53/1.38  ncf('1.1.3.1.3',plain,[-(m1_subset_1(1048 ^ [], u1_struct_0(1014 ^ [])))],extension(1050 ^ 12)).
% 0.53/1.38  ncf('1.1.3.1.4',plain,[-(m1_group_2(1025 ^ [], 1014 ^ []))],lemmata('[1].x')).
% 0.53/1.38  ncf('1.1.3.1.5',plain,[-(v1_group_3(1025 ^ [], 1014 ^ []))],reduction('1.1')).
% 0.53/1.38  ncf('1.1.3.1.6',plain,[v3_struct_0(1014 ^ [])],reduction('1')).
% 0.53/1.38  ncf('1.1.3.1.7',plain,[-(v1_group_1(1014 ^ []))],extension(1018 ^ 8)).
% 0.53/1.38  ncf('1.1.3.1.8',plain,[-(v3_group_1(1014 ^ []))],extension(1020 ^ 8)).
% 0.53/1.38  ncf('1.1.3.1.9',plain,[-(v4_group_1(1014 ^ []))],extension(1022 ^ 8)).
% 0.53/1.38  ncf('1.1.3.1.10',plain,[-(l1_group_1(1014 ^ []))],extension(1024 ^ 8)).
% 0.53/1.38  ncf('1.1.4',plain,[-(v1_group_1(1014 ^ []))],extension(1018 ^ 2)).
% 0.53/1.38  ncf('1.1.5',plain,[-(v3_group_1(1014 ^ []))],extension(1020 ^ 2)).
% 0.53/1.38  ncf('1.1.6',plain,[-(v4_group_1(1014 ^ []))],extension(1022 ^ 2)).
% 0.53/1.38  ncf('1.1.7',plain,[-(l1_group_1(1014 ^ []))],extension(1024 ^ 2)).
% 0.53/1.38  %-----------------------------------------------------
% 0.53/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------