%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n024.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 11:16:24 EDT 2023

% Result   : Theorem 9.82s 10.69s
% Output   : Proof 9.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP640+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May 19 01:54:36 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 9.82/10.69  
% 9.82/10.69  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 9.82/10.69  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.82/10.69  %-----------------------------------------------------
% 9.82/10.69  ncf(matrix, plain, [(1019 ^ _160350) ^ [] : [v3_struct_0(1017 ^ [])], (1021 ^ _160350) ^ [] : [-(v3_group_1(1017 ^ []))], (1023 ^ _160350) ^ [] : [-(v4_group_1(1017 ^ []))], (1025 ^ _160350) ^ [] : [-(l1_group_1(1017 ^ []))], (1028 ^ _160350) ^ [] : [v3_struct_0(1026 ^ [])], (1030 ^ _160350) ^ [] : [-(v3_group_1(1026 ^ []))], (1032 ^ _160350) ^ [] : [-(v4_group_1(1026 ^ []))], (1034 ^ _160350) ^ [] : [-(l1_group_1(1026 ^ []))], (1037 ^ _160350) ^ [] : [-(m1_group_2(1035 ^ [], 1017 ^ []))], (1040 ^ _160350) ^ [] : [-(m1_group_2(1038 ^ [], 1017 ^ []))], (1043 ^ _160350) ^ [] : [-(v1_funct_1(1041 ^ []))], (1045 ^ _160350) ^ [] : [-(v1_funct_2(1041 ^ [], u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ [])))], (1047 ^ _160350) ^ [] : [-(m2_relset_1(1041 ^ [], u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ [])))], (1050 ^ _160350) ^ [] : [-(m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ []))))], (1052 ^ _160350) ^ [] : [-(1048 ^ [] = k2_xboole_0(u1_struct_0(1035 ^ []), u1_struct_0(1038 ^ [])))], (1054 ^ _160350) ^ [] : [k2_funct_2(u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []), 1041 ^ [], u1_struct_0(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []))) = k2_funct_2(u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []), 1041 ^ [], u1_struct_0(k5_group_4(1017 ^ [], 1048 ^ [])))], (256 ^ _160350) ^ [_168682, _168684, _168686, _168688] : [-(g1_group_1(_168688, _168684) = g1_group_1(_168686, _168682)), _168688 = _168686, _168684 = _168682], (266 ^ _160350) ^ [_169013, _169015] : [_169015 = _169013, -(u1_group_1(_169015) = u1_group_1(_169013))], (272 ^ _160350) ^ [_169259, _169261, _169263, _169265] : [-(k9_relat_1(_169265, _169261) = k9_relat_1(_169263, _169259)), _169265 = _169263, _169261 = _169259], (282 ^ _160350) ^ [_169618, _169620, _169622, _169624] : [-(k2_zfmisc_1(_169624, _169620) = k2_zfmisc_1(_169622, _169618)), _169624 = _169622, _169620 = _169618], (292 ^ _160350) ^ [_169949, _169951] : [_169951 = _169949, -(k1_zfmisc_1(_169951) = k1_zfmisc_1(_169949))], (298 ^ _160350) ^ [_170195, _170197, _170199, _170201] : [-(k2_xboole_0(_170201, _170197) = k2_xboole_0(_170199, _170195)), _170201 = _170199, _170197 = _170195], (308 ^ _160350) ^ [_170582, _170584, _170586, _170588, _170590, _170592] : [-(k8_group_4(_170592, _170588, _170584) = k8_group_4(_170590, _170586, _170582)), _170592 = _170590, _170588 = _170586, _170584 = _170582], (322 ^ _160350) ^ [_171126, _171128, _171130, _171132, _171134, _171136, _171138, _171140] : [-(k2_funct_2(_171140, _171136, _171132, _171128) = k2_funct_2(_171138, _171134, _171130, _171126)), _171140 = _171138, _171136 = _171134, _171132 = _171130, _171128 = _171126], (340 ^ _160350) ^ [_171731, _171733] : [_171733 = _171731, -(u1_struct_0(_171733) = u1_struct_0(_171731))], (346 ^ _160350) ^ [_171957, _171959, _171961, _171963] : [-(k5_group_4(_171963, _171959) = k5_group_4(_171961, _171957)), _171963 = _171961, _171959 = _171957], (2 ^ _160350) ^ [_160494] : [-(_160494 = _160494)], (4 ^ _160350) ^ [_160601, _160603] : [_160603 = _160601, -(_160601 = _160603)], (10 ^ _160350) ^ [_160805, _160807, _160809] : [-(_160809 = _160805), _160809 = _160807, _160807 = _160805], (20 ^ _160350) ^ [_161118, _161120] : [-(v1_relat_1(_161118)), _161120 = _161118, v1_relat_1(_161120)], (30 ^ _160350) ^ [_161469, _161471, _161473, _161475, _161477, _161479] : [-(v1_partfun1(_161477, _161473, _161469)), v1_partfun1(_161479, _161475, _161471), _161479 = _161477, _161475 = _161473, _161471 = _161469], (48 ^ _160350) ^ [_162050, _162052, _162054, _162056] : [-(r2_hidden(_162054, _162050)), r2_hidden(_162056, _162052), _162056 = _162054, _162052 = _162050], (62 ^ _160350) ^ [_162522, _162524, _162526, _162528, _162530, _162532] : [-(m1_relset_1(_162530, _162526, _162522)), m1_relset_1(_162532, _162528, _162524), _162532 = _162530, _162528 = _162526, _162524 = _162522], (80 ^ _160350) ^ [_163075, _163077] : [-(v1_group_1(_163075)), _163077 = _163075, v1_group_1(_163077)], (90 ^ _160350) ^ [_163370, _163372] : [-(l1_struct_0(_163370)), _163372 = _163370, l1_struct_0(_163372)], (100 ^ _160350) ^ [_163665, _163667] : [-(v1_xboole_0(_163665)), _163667 = _163665, v1_xboole_0(_163667)], (110 ^ _160350) ^ [_163988, _163990, _163992, _163994] : [-(r1_tarski(_163992, _163988)), r1_tarski(_163994, _163990), _163994 = _163992, _163990 = _163988], (124 ^ _160350) ^ [_164460, _164462, _164464, _164466, _164468, _164470] : [-(r1_group_2(_164468, _164464, _164460)), r1_group_2(_164470, _164466, _164462), _164470 = _164468, _164466 = _164464, _164462 = _164460], (142 ^ _160350) ^ [_165013, _165015] : [-(v3_struct_0(_165013)), _165015 = _165013, v3_struct_0(_165015)], (152 ^ _160350) ^ [_165308, _165310] : [-(v3_group_1(_165308)), _165310 = _165308, v3_group_1(_165310)], (162 ^ _160350) ^ [_165603, _165605] : [-(v4_group_1(_165603)), _165605 = _165603, v4_group_1(_165605)], (172 ^ _160350) ^ [_165898, _165900] : [-(l1_group_1(_165898)), _165900 = _165898, l1_group_1(_165900)], (182 ^ _160350) ^ [_166221, _166223, _166225, _166227] : [-(m1_group_2(_166225, _166221)), m1_group_2(_166227, _166223), _166227 = _166225, _166223 = _166221], (196 ^ _160350) ^ [_166637, _166639] : [-(v1_funct_1(_166637)), _166639 = _166637, v1_funct_1(_166639)], (206 ^ _160350) ^ [_166988, _166990, _166992, _166994, _166996, _166998] : [-(v1_funct_2(_166996, _166992, _166988)), v1_funct_2(_166998, _166994, _166990), _166998 = _166996, _166994 = _166992, _166990 = _166988], (242 ^ _160350) ^ [_168158, _168160, _168162, _168164] : [-(m1_subset_1(_168162, _168158)), m1_subset_1(_168164, _168160), _168164 = _168162, _168160 = _168158], (224 ^ _160350) ^ [_167597, _167599, _167601, _167603, _167605, _167607] : [-(m2_relset_1(_167605, _167601, _167597)), m2_relset_1(_167607, _167603, _167599), _167607 = _167605, _167603 = _167601, _167599 = _167597], (356 ^ _160350) ^ [_172330, _172332] : [367 ^ _160350 : [(368 ^ _160350) ^ [_172690, _172692] : [g1_group_1(_172332, _172330) = g1_group_1(_172692, _172690), 371 ^ _160350 : [(372 ^ _160350) ^ [] : [-(_172332 = _172692)], (374 ^ _160350) ^ [] : [-(_172330 = _172690)]]]], v1_funct_1(_172330), v1_funct_2(_172330, k2_zfmisc_1(_172332, _172332), _172332), m1_relset_1(_172330, k2_zfmisc_1(_172332, _172332), _172332)], (376 ^ _160350) ^ [_173012, _173014] : [r2_hidden(_173014, _173012), r2_hidden(_173012, _173014)], (382 ^ _160350) ^ [_173223, _173225] : [393 ^ _160350 : [(394 ^ _160350) ^ [] : [-(v1_group_1(g1_group_1(_173225, _173223)))], (396 ^ _160350) ^ [] : [-(l1_group_1(g1_group_1(_173225, _173223)))]], v1_funct_1(_173223), v1_funct_2(_173223, k2_zfmisc_1(_173225, _173225), _173225), m1_relset_1(_173223, k2_zfmisc_1(_173225, _173225), _173225)], (398 ^ _160350) ^ [] : [true___, -(true___)], (404 ^ _160350) ^ [_173813] : [l1_group_1(_173813), 407 ^ _160350 : [(408 ^ _160350) ^ [] : [-(v1_funct_1(u1_group_1(_173813)))], (410 ^ _160350) ^ [] : [-(v1_funct_2(u1_group_1(_173813), k2_zfmisc_1(u1_struct_0(_173813), u1_struct_0(_173813)), u1_struct_0(_173813)))], (412 ^ _160350) ^ [] : [-(m2_relset_1(u1_group_1(_173813), k2_zfmisc_1(u1_struct_0(_173813), u1_struct_0(_173813)), u1_struct_0(_173813)))]]], (414 ^ _160350) ^ [_174224, _174226, _174228] : [m1_relset_1(_174224, _174228, _174226), 425 ^ _160350 : [(426 ^ _160350) ^ [] : [-(v1_funct_1(_174224))], (428 ^ _160350) ^ [] : [-(v1_funct_2(_174224, _174228, _174226))]], v1_funct_1(_174224), v1_partfun1(_174224, _174228, _174226)], (430 ^ _160350) ^ [] : [-(v1_xboole_0(k1_xboole_0))], (433 ^ _160350) ^ [_174822, _174824] : [-(m1_relset_1(431 ^ [_174822, _174824], _174824, _174822))], (435 ^ _160350) ^ [_174896, _174898] : [-(v1_relat_1(431 ^ [_174896, _174898]))], (437 ^ _160350) ^ [_174968, _174970] : [-(v1_funct_1(431 ^ [_174968, _174970]))], (439 ^ _160350) ^ [_175020, _175022] : [-(v1_funct_2(431 ^ [_175020, _175022], _175022, _175020))], (442 ^ _160350) ^ [_175200, _175202] : [-(m1_relset_1(440 ^ [_175200, _175202], _175202, _175200))], (444 ^ _160350) ^ [_175274, _175276] : [-(v1_relat_1(440 ^ [_175274, _175276]))], (446 ^ _160350) ^ [_175326, _175328] : [-(v1_funct_1(440 ^ [_175326, _175328]))], (448 ^ _160350) ^ [_175416] : [-(k2_xboole_0(_175416, k1_xboole_0) = _175416)], (450 ^ _160350) ^ [_175526, _175528] : [r2_hidden(_175528, _175526), -(m1_subset_1(_175528, _175526))], (456 ^ _160350) ^ [_175750, _175752, _175754] : [-(m1_subset_1(_175754, _175750)), r2_hidden(_175754, _175752), m1_subset_1(_175752, k1_zfmisc_1(_175750))], (466 ^ _160350) ^ [_176077, _176079, _176081] : [r2_hidden(_176081, _176079), m1_subset_1(_176079, k1_zfmisc_1(_176077)), v1_xboole_0(_176077)], (476 ^ _160350) ^ [_176372, _176374] : [-(r1_tarski(_176374, _176374))], (478 ^ _160350) ^ [_176467] : [l1_group_1(_176467), v1_group_1(_176467), -(_176467 = g1_group_1(u1_struct_0(_176467), u1_group_1(_176467)))], (489 ^ _160350) ^ [] : [-(l1_struct_0(487 ^ []))], (492 ^ _160350) ^ [_176882, _176884] : [-(m1_relset_1(490 ^ [_176882, _176884], _176884, _176882))], (494 ^ _160350) ^ [] : [true___, -(true___)], (500 ^ _160350) ^ [] : [true___, -(true___)], (506 ^ _160350) ^ [] : [true___, -(true___)], (512 ^ _160350) ^ [] : [true___, -(true___)], (518 ^ _160350) ^ [_177489, _177491, _177493] : [m1_subset_1(_177489, k1_zfmisc_1(k2_zfmisc_1(_177493, _177491))), -(v1_relat_1(_177489))], (524 ^ _160350) ^ [_177713, _177715] : [-(v1_xboole_0(_177713)), 527 ^ _160350 : [(528 ^ _160350) ^ [_177877] : [m1_relset_1(_177877, _177715, _177713), 539 ^ _160350 : [(540 ^ _160350) ^ [] : [-(v1_funct_1(_177877))], (542 ^ _160350) ^ [] : [-(v1_partfun1(_177877, _177715, _177713))], (544 ^ _160350) ^ [] : [-(v1_funct_2(_177877, _177715, _177713))]], v1_funct_1(_177877), v1_funct_2(_177877, _177715, _177713)]]], (546 ^ _160350) ^ [_178445, _178447] : [-(v1_xboole_0(_178447)), -(v1_xboole_0(_178445)), 553 ^ _160350 : [(554 ^ _160350) ^ [_178706] : [m1_relset_1(_178706, _178447, _178445), 565 ^ _160350 : [(566 ^ _160350) ^ [] : [-(v1_funct_1(_178706))], (568 ^ _160350) ^ [] : [v1_xboole_0(_178706)], (570 ^ _160350) ^ [] : [-(v1_partfun1(_178706, _178447, _178445))], (572 ^ _160350) ^ [] : [-(v1_funct_2(_178706, _178447, _178445))]], v1_funct_1(_178706), v1_funct_2(_178706, _178447, _178445)]]], (574 ^ _160350) ^ [_179337] : [v1_xboole_0(u1_struct_0(_179337)), -(v3_struct_0(_179337)), l1_struct_0(_179337)], (584 ^ _160350) ^ [_179628, _179630] : [-(v1_xboole_0(_179630)), v1_xboole_0(k2_xboole_0(_179630, _179628))], (590 ^ _160350) ^ [_179844, _179846] : [-(v1_xboole_0(_179846)), v1_xboole_0(k2_xboole_0(_179844, _179846))], (596 ^ _160350) ^ [_180060, _180062] : [v1_xboole_0(k2_zfmisc_1(_180062, _180060)), -(v1_xboole_0(_180062)), -(v1_xboole_0(_180060))], (606 ^ _160350) ^ [_180352] : [-(v1_xboole_0(_180352)), 610 ^ _160350 : [(611 ^ _160350) ^ [] : [-(m1_subset_1(609 ^ [_180352], k1_zfmisc_1(_180352)))], (613 ^ _160350) ^ [] : [v1_xboole_0(609 ^ [_180352])]]], (616 ^ _160350) ^ [] : [-(v1_xboole_0(614 ^ []))], (619 ^ _160350) ^ [_180824] : [-(m1_subset_1(617 ^ [_180824], k1_zfmisc_1(_180824)))], (621 ^ _160350) ^ [_180875] : [-(v1_xboole_0(617 ^ [_180875]))], (624 ^ _160350) ^ [] : [v1_xboole_0(622 ^ [])], (627 ^ _160350) ^ [] : [-(l1_struct_0(625 ^ []))], (629 ^ _160350) ^ [] : [v3_struct_0(625 ^ [])], (631 ^ _160350) ^ [_181214] : [639 ^ _160350 : [(640 ^ _160350) ^ [] : [-(m1_subset_1(638 ^ [_181214], k1_zfmisc_1(u1_struct_0(_181214))))], (642 ^ _160350) ^ [] : [v1_xboole_0(638 ^ [_181214])]], -(v3_struct_0(_181214)), l1_struct_0(_181214)], (644 ^ _160350) ^ [_181649, _181651] : [m1_subset_1(_181651, _181649), -(v1_xboole_0(_181649)), -(r2_hidden(_181651, _181649))], (654 ^ _160350) ^ [_181933] : [v1_xboole_0(_181933), -(_181933 = k1_xboole_0)], (660 ^ _160350) ^ [_182135, _182137] : [r2_hidden(_182137, _182135), v1_xboole_0(_182135)], (666 ^ _160350) ^ [_182342, _182344] : [v1_xboole_0(_182344), -(_182344 = _182342), v1_xboole_0(_182342)], (676 ^ _160350) ^ [_182624, _182626] : [-(k2_xboole_0(_182626, _182624) = k2_xboole_0(_182624, _182626))], (678 ^ _160350) ^ [_182724, _182726] : [-(k2_xboole_0(_182726, _182726) = _182726)], (680 ^ _160350) ^ [_182850, _182852, _182854] : [r1_group_2(_182854, _182852, _182850), -(r1_group_2(_182854, _182850, _182852)), -(v3_struct_0(_182854)), v3_group_1(_182854), v4_group_1(_182854), l1_group_1(_182854), v1_group_1(_182852), m1_group_2(_182852, _182854), v1_group_1(_182850), m1_group_2(_182850, _182854)], (718 ^ _160350) ^ [_183821, _183823, _183825] : [-(r1_group_2(_183825, _183823, _183823)), -(v3_struct_0(_183825)), v3_group_1(_183825), v4_group_1(_183825), l1_group_1(_183825), v1_group_1(_183823), m1_group_2(_183823, _183825), v1_group_1(_183821), m1_group_2(_183821, _183825)], (753 ^ _160350) ^ [] : [-(l1_group_1(751 ^ []))], (755 ^ _160350) ^ [_184756] : [-(m1_group_2(766 ^ [_184756], _184756)), -(v3_struct_0(_184756)), v3_group_1(_184756), l1_group_1(_184756)], (771 ^ _160350) ^ [_185188] : [-(m1_subset_1(769 ^ [_185188], _185188))], (774 ^ _160350) ^ [_185327, _185329] : [-(m2_relset_1(772 ^ [_185327, _185329], _185329, _185327))], (776 ^ _160350) ^ [_185472, _185474, _185476, _185478] : [-(k2_funct_2(_185478, _185476, _185474, _185472) = k9_relat_1(_185474, _185472)), v1_funct_1(_185474), v1_funct_2(_185474, _185478, _185476), m1_relset_1(_185474, _185478, _185476)], (790 ^ _160350) ^ [_185949, _185951, _185953] : [m2_relset_1(_185949, _185953, _185951), -(m1_relset_1(_185949, _185953, _185951))], (796 ^ _160350) ^ [_186121, _186123, _186125] : [m1_relset_1(_186121, _186125, _186123), -(m2_relset_1(_186121, _186125, _186123))], (802 ^ _160350) ^ [_186357, _186359, _186361] : [833 ^ _160350 : [(834 ^ _160350) ^ [] : [r1_group_2(_186361, _186359, _186357), -(_186359 = _186357)], (840 ^ _160350) ^ [] : [_186359 = _186357, -(r1_group_2(_186361, _186359, _186357))]], -(v3_struct_0(_186361)), v3_group_1(_186361), v4_group_1(_186361), l1_group_1(_186361), v1_group_1(_186359), m1_group_2(_186359, _186361), v1_group_1(_186357), m1_group_2(_186357, _186361)], (846 ^ _160350) ^ [] : [true___, -(true___)], (852 ^ _160350) ^ [_187625, _187627, _187629, _187631] : [-(m1_subset_1(k2_funct_2(_187631, _187629, _187627, _187625), k1_zfmisc_1(_187629))), v1_funct_1(_187627), v1_funct_2(_187627, _187631, _187629), m1_relset_1(_187627, _187631, _187629)], (866 ^ _160350) ^ [] : [true___, -(true___)], (872 ^ _160350) ^ [_188176, _188178] : [891 ^ _160350 : [(892 ^ _160350) ^ [] : [-(v1_group_1(k5_group_4(_188178, _188176)))], (894 ^ _160350) ^ [] : [-(m1_group_2(k5_group_4(_188178, _188176), _188178))]], -(v3_struct_0(_188178)), v3_group_1(_188178), v4_group_1(_188178), l1_group_1(_188178), m1_subset_1(_188176, k1_zfmisc_1(u1_struct_0(_188178)))], (896 ^ _160350) ^ [_188844, _188846, _188848] : [919 ^ _160350 : [(920 ^ _160350) ^ [] : [-(v1_group_1(k8_group_4(_188848, _188846, _188844)))], (922 ^ _160350) ^ [] : [-(m1_group_2(k8_group_4(_188848, _188846, _188844), _188848))]], -(v3_struct_0(_188848)), v3_group_1(_188848), v4_group_1(_188848), l1_group_1(_188848), m1_group_2(_188846, _188848), m1_group_2(_188844, _188848)], (924 ^ _160350) ^ [_189597] : [l1_group_1(_189597), -(l1_struct_0(_189597))], (930 ^ _160350) ^ [_189783] : [941 ^ _160350 : [(942 ^ _160350) ^ [_190094] : [m1_group_2(_190094, _189783), 945 ^ _160350 : [(946 ^ _160350) ^ [] : [v3_struct_0(_190094)], (948 ^ _160350) ^ [] : [-(v3_group_1(_190094))], (950 ^ _160350) ^ [] : [-(l1_group_1(_190094))]]]], -(v3_struct_0(_189783)), v3_group_1(_189783), l1_group_1(_189783)], (952 ^ _160350) ^ [] : [true___, -(true___)], (958 ^ _160350) ^ [_190588, _190590, _190592] : [m2_relset_1(_190588, _190592, _190590), -(m1_subset_1(_190588, k1_zfmisc_1(k2_zfmisc_1(_190592, _190590))))], (964 ^ _160350) ^ [] : [true___, -(true___)], (970 ^ _160350) ^ [_190905] : [v1_xboole_0(k1_zfmisc_1(_190905))], (972 ^ _160350) ^ [_191042, _191044] : [m1_subset_1(_191044, k1_zfmisc_1(_191042)), -(r1_tarski(_191044, _191042))], (978 ^ _160350) ^ [_191208, _191210] : [r1_tarski(_191210, _191208), -(m1_subset_1(_191210, k1_zfmisc_1(_191208)))], (984 ^ _160350) ^ [_191390] : [-(v3_struct_0(_191390)), v3_group_1(_191390), v4_group_1(_191390), l1_group_1(_191390), 999 ^ _160350 : [(1000 ^ _160350) ^ [_191820] : [m1_group_2(_191820, _191390), 1003 ^ _160350 : [(1004 ^ _160350) ^ [_191995] : [m1_group_2(_191995, _191390), 1007 ^ _160350 : [(1008 ^ _160350) ^ [_192165] : [m1_subset_1(_192165, k1_zfmisc_1(u1_struct_0(_191390))), _192165 = k2_xboole_0(u1_struct_0(_191820), u1_struct_0(_191995)), -(r1_group_2(_191390, k8_group_4(_191390, _191820, _191995), k5_group_4(_191390, _192165)))]]]]]]]], input).
% 9.82/10.69  ncf('1',plain,[k2_funct_2(u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []), 1041 ^ [], u1_struct_0(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []))) = k2_funct_2(u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []), 1041 ^ [], u1_struct_0(k5_group_4(1017 ^ [], 1048 ^ [])))],start(1054 ^ 0)).
% 9.82/10.69  ncf('1.1',plain,[-(k2_funct_2(u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []), 1041 ^ [], u1_struct_0(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []))) = k2_funct_2(u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []), 1041 ^ [], u1_struct_0(k5_group_4(1017 ^ [], 1048 ^ [])))), u1_struct_0(1017 ^ []) = u1_struct_0(1017 ^ []), u1_struct_0(1026 ^ []) = u1_struct_0(1026 ^ []), 1041 ^ [] = 1041 ^ [], u1_struct_0(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ [])) = u1_struct_0(k5_group_4(1017 ^ [], 1048 ^ []))],extension(322 ^ 1,bind([[_171126, _171128, _171130, _171132, _171134, _171136, _171138, _171140], [u1_struct_0(k5_group_4(1017 ^ [], 1048 ^ [])), u1_struct_0(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ [])), 1041 ^ [], 1041 ^ [], u1_struct_0(1026 ^ []), u1_struct_0(1026 ^ []), u1_struct_0(1017 ^ []), u1_struct_0(1017 ^ [])]]))).
% 9.82/10.69  ncf('1.1.1',plain,[-(u1_struct_0(1017 ^ []) = u1_struct_0(1017 ^ [])), 1017 ^ [] = 1017 ^ []],extension(340 ^ 2,bind([[_171731, _171733], [1017 ^ [], 1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.1.1',plain,[-(1017 ^ [] = 1017 ^ [])],extension(2 ^ 3,bind([[_160494], [1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.2',plain,[-(u1_struct_0(1026 ^ []) = u1_struct_0(1026 ^ [])), 1026 ^ [] = 1026 ^ []],extension(340 ^ 2,bind([[_171731, _171733], [1026 ^ [], 1026 ^ []]]))).
% 9.82/10.69  ncf('1.1.2.1',plain,[-(1026 ^ [] = 1026 ^ [])],extension(2 ^ 3,bind([[_160494], [1026 ^ []]]))).
% 9.82/10.69  ncf('1.1.3',plain,[-(1041 ^ [] = 1041 ^ [])],extension(2 ^ 2,bind([[_160494], [1041 ^ []]]))).
% 9.82/10.69  ncf('1.1.4',plain,[-(u1_struct_0(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ [])) = u1_struct_0(k5_group_4(1017 ^ [], 1048 ^ []))), k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []) = k5_group_4(1017 ^ [], 1048 ^ [])],extension(340 ^ 2,bind([[_171731, _171733], [k5_group_4(1017 ^ [], 1048 ^ []), k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ [])]]))).
% 9.82/10.69  ncf('1.1.4.1',plain,[-(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []) = k5_group_4(1017 ^ [], 1048 ^ [])), 834 : r1_group_2(1017 ^ [], k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []), k5_group_4(1017 ^ [], 1048 ^ [])), 834 : -(v3_struct_0(1017 ^ [])), 834 : v3_group_1(1017 ^ []), 834 : v4_group_1(1017 ^ []), 834 : l1_group_1(1017 ^ []), 834 : v1_group_1(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ [])), 834 : m1_group_2(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []), 1017 ^ []), 834 : v1_group_1(k5_group_4(1017 ^ [], 1048 ^ [])), 834 : m1_group_2(k5_group_4(1017 ^ [], 1048 ^ []), 1017 ^ [])],extension(802 ^ 3,bind([[_186357, _186359, _186361], [k5_group_4(1017 ^ [], 1048 ^ []), k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []), 1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.4.1.1',plain,[-(r1_group_2(1017 ^ [], k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []), k5_group_4(1017 ^ [], 1048 ^ []))), 1008 : m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ []))), 1008 : 1048 ^ [] = k2_xboole_0(u1_struct_0(1035 ^ []), u1_struct_0(1038 ^ [])), 1008 : m1_group_2(1038 ^ [], 1017 ^ []), 1004 : m1_group_2(1035 ^ [], 1017 ^ []), 1000 : -(v3_struct_0(1017 ^ [])), 1000 : v3_group_1(1017 ^ []), 1000 : v4_group_1(1017 ^ []), 1000 : l1_group_1(1017 ^ [])],extension(984 ^ 6,bind([[_191390, _191820, _191995, _192165], [1017 ^ [], 1035 ^ [], 1038 ^ [], 1048 ^ []]]))).
% 9.82/10.69  ncf('1.1.4.1.1.1',plain,[-(m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ []))))],extension(1050 ^ 13)).
% 9.82/10.69  ncf('1.1.4.1.1.2',plain,[-(1048 ^ [] = k2_xboole_0(u1_struct_0(1035 ^ []), u1_struct_0(1038 ^ [])))],extension(1052 ^ 13)).
% 9.82/10.69  ncf('1.1.4.1.1.3',plain,[-(m1_group_2(1038 ^ [], 1017 ^ []))],extension(1040 ^ 11)).
% 9.82/10.69  ncf('1.1.4.1.1.4',plain,[-(m1_group_2(1035 ^ [], 1017 ^ []))],extension(1037 ^ 9)).
% 9.82/10.69  ncf('1.1.4.1.1.5',plain,[v3_struct_0(1017 ^ [])],extension(1019 ^ 7)).
% 9.82/10.69  ncf('1.1.4.1.1.6',plain,[-(v3_group_1(1017 ^ []))],extension(1021 ^ 7)).
% 9.82/10.69  ncf('1.1.4.1.1.7',plain,[-(v4_group_1(1017 ^ []))],extension(1023 ^ 7)).
% 9.82/10.69  ncf('1.1.4.1.1.8',plain,[-(l1_group_1(1017 ^ []))],extension(1025 ^ 7)).
% 9.82/10.69  ncf('1.1.4.1.2',plain,[v3_struct_0(1017 ^ [])],extension(1019 ^ 4)).
% 9.82/10.69  ncf('1.1.4.1.3',plain,[-(v3_group_1(1017 ^ []))],extension(1021 ^ 4)).
% 9.82/10.69  ncf('1.1.4.1.4',plain,[-(v4_group_1(1017 ^ []))],extension(1023 ^ 4)).
% 9.82/10.69  ncf('1.1.4.1.5',plain,[-(l1_group_1(1017 ^ []))],extension(1025 ^ 4)).
% 9.82/10.69  ncf('1.1.4.1.6',plain,[-(v1_group_1(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []))), -(v3_struct_0(1017 ^ [])), v3_group_1(1017 ^ []), v4_group_1(1017 ^ []), l1_group_1(1017 ^ []), m1_group_2(1035 ^ [], 1017 ^ []), m1_group_2(1038 ^ [], 1017 ^ [])],extension(896 ^ 4,bind([[_188844, _188846, _188848], [1038 ^ [], 1035 ^ [], 1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.4.1.6.1',plain,[v3_struct_0(1017 ^ [])],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.6.2',plain,[-(v3_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.6.3',plain,[-(v4_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.6.4',plain,[-(l1_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.6.5',plain,[-(m1_group_2(1035 ^ [], 1017 ^ []))],extension(1037 ^ 5)).
% 9.82/10.69  ncf('1.1.4.1.6.6',plain,[-(m1_group_2(1038 ^ [], 1017 ^ []))],extension(1040 ^ 5)).
% 9.82/10.69  ncf('1.1.4.1.7',plain,[-(m1_group_2(k8_group_4(1017 ^ [], 1035 ^ [], 1038 ^ []), 1017 ^ [])), -(v3_struct_0(1017 ^ [])), v3_group_1(1017 ^ []), v4_group_1(1017 ^ []), l1_group_1(1017 ^ []), m1_group_2(1035 ^ [], 1017 ^ []), m1_group_2(1038 ^ [], 1017 ^ [])],extension(896 ^ 4,bind([[_188844, _188846, _188848], [1038 ^ [], 1035 ^ [], 1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.4.1.7.1',plain,[v3_struct_0(1017 ^ [])],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.7.2',plain,[-(v3_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.7.3',plain,[-(v4_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.7.4',plain,[-(l1_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.7.5',plain,[-(m1_group_2(1035 ^ [], 1017 ^ []))],extension(1037 ^ 5)).
% 9.82/10.69  ncf('1.1.4.1.7.6',plain,[-(m1_group_2(1038 ^ [], 1017 ^ []))],extension(1040 ^ 5)).
% 9.82/10.69  ncf('1.1.4.1.8',plain,[-(v1_group_1(k5_group_4(1017 ^ [], 1048 ^ []))), -(v3_struct_0(1017 ^ [])), v3_group_1(1017 ^ []), v4_group_1(1017 ^ []), l1_group_1(1017 ^ []), m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ [])))],extension(872 ^ 4,bind([[_188176, _188178], [1048 ^ [], 1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.4.1.8.1',plain,[v3_struct_0(1017 ^ [])],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.8.2',plain,[-(v3_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.8.3',plain,[-(v4_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.8.4',plain,[-(l1_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.8.5',plain,[-(m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ []))))],extension(1050 ^ 5)).
% 9.82/10.69  ncf('1.1.4.1.9',plain,[-(m1_group_2(k5_group_4(1017 ^ [], 1048 ^ []), 1017 ^ [])), -(v3_struct_0(1017 ^ [])), v3_group_1(1017 ^ []), v4_group_1(1017 ^ []), l1_group_1(1017 ^ []), m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ [])))],extension(872 ^ 4,bind([[_188176, _188178], [1048 ^ [], 1017 ^ []]]))).
% 9.82/10.69  ncf('1.1.4.1.9.1',plain,[v3_struct_0(1017 ^ [])],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.9.2',plain,[-(v3_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.9.3',plain,[-(v4_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.9.4',plain,[-(l1_group_1(1017 ^ []))],lemmata('[4, 1, 1].x')).
% 9.82/10.69  ncf('1.1.4.1.9.5',plain,[-(m1_subset_1(1048 ^ [], k1_zfmisc_1(u1_struct_0(1017 ^ []))))],extension(1050 ^ 5)).
% 9.82/10.69  %-----------------------------------------------------
% 9.82/10.69  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------