%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV189+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:20:08 EDT 2023

% Result   : Theorem 17.16s 16.94s
% Output   : Proof 17.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV189+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n025.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 02:50:18 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 17.16/16.94  
% 17.16/16.94  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 17.16/16.94  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.16/16.94  %-----------------------------------------------------
% 17.16/16.94  ncf(matrix, plain, [(1052 ^ _199008) ^ [] : [-(leq(n0, 1050 ^ []))], (1054 ^ _199008) ^ [] : [-(leq(1050 ^ [], tptp_minus_1))], (1057 ^ _199008) ^ [] : [-(leq(n0, 1055 ^ []))], (1059 ^ _199008) ^ [] : [-(leq(1055 ^ [], n4))], (1061 ^ _199008) ^ [] : [a_select3(q_init, 1050 ^ [], 1055 ^ []) = init], (1041 ^ _199008) ^ [_238905] : [-(a_select3(center_init, _238905, n0) = init), leq(n0, _238905), leq(_238905, n4)], (2 ^ _199008) ^ [_199152] : [-(_199152 = _199152)], (4 ^ _199008) ^ [_199259, _199261] : [_199261 = _199259, -(_199259 = _199261)], (10 ^ _199008) ^ [_199463, _199465, _199467] : [-(_199467 = _199463), _199467 = _199465, _199465 = _199463], (20 ^ _199008) ^ [_199804, _199806, _199808, _199810] : [-(lt(_199808, _199804)), lt(_199810, _199806), _199810 = _199808, _199806 = _199804], (34 ^ _199008) ^ [_200248, _200250, _200252, _200254] : [-(geq(_200252, _200248)), geq(_200254, _200250), _200254 = _200252, _200250 = _200248], (48 ^ _199008) ^ [_200692, _200694, _200696, _200698] : [-(gt(_200696, _200692)), gt(_200698, _200694), _200698 = _200696, _200694 = _200692], (62 ^ _199008) ^ [_201116, _201118, _201120, _201122] : [-(leq(_201120, _201116)), leq(_201122, _201118), _201122 = _201120, _201118 = _201116], (76 ^ _199008) ^ [_201572, _201574, _201576, _201578] : [-(uniform_int_rnd(_201578, _201574) = uniform_int_rnd(_201576, _201572)), _201578 = _201576, _201574 = _201572], (86 ^ _199008) ^ [_201931, _201933, _201935, _201937] : [-(tptp_const_array1(_201937, _201933) = tptp_const_array1(_201935, _201931)), _201937 = _201935, _201933 = _201931], (96 ^ _199008) ^ [_202318, _202320, _202322, _202324, _202326, _202328] : [-(tptp_const_array2(_202328, _202324, _202320) = tptp_const_array2(_202326, _202322, _202318)), _202328 = _202326, _202324 = _202322, _202320 = _202318], (110 ^ _199008) ^ [_202806, _202808, _202810, _202812] : [-(dim(_202812, _202808) = dim(_202810, _202806)), _202812 = _202810, _202808 = _202806], (120 ^ _199008) ^ [_203137, _203139] : [_203139 = _203137, -(inv(_203139) = inv(_203137))], (126 ^ _199008) ^ [_203383, _203385, _203387, _203389] : [-(tptp_msub(_203389, _203385) = tptp_msub(_203387, _203383)), _203389 = _203387, _203385 = _203383], (136 ^ _199008) ^ [_203742, _203744, _203746, _203748] : [-(tptp_madd(_203748, _203744) = tptp_madd(_203746, _203742)), _203748 = _203746, _203744 = _203742], (146 ^ _199008) ^ [_204101, _204103, _204105, _204107] : [-(tptp_mmul(_204107, _204103) = tptp_mmul(_204105, _204101)), _204107 = _204105, _204103 = _204101], (156 ^ _199008) ^ [_204432, _204434] : [_204434 = _204432, -(trans(_204434) = trans(_204432))], (162 ^ _199008) ^ [_204706, _204708, _204710, _204712, _204714, _204716] : [-(sum(_204716, _204712, _204708) = sum(_204714, _204710, _204706)), _204716 = _204714, _204712 = _204710, _204708 = _204706], (176 ^ _199008) ^ [_205194, _205196, _205198, _205200] : [-(plus(_205200, _205196) = plus(_205198, _205194)), _205200 = _205198, _205196 = _205194], (186 ^ _199008) ^ [_205525, _205527] : [_205527 = _205525, -(pred(_205527) = pred(_205525))], (192 ^ _199008) ^ [_205771, _205773, _205775, _205777] : [-(minus(_205777, _205773) = minus(_205775, _205771)), _205777 = _205775, _205773 = _205771], (202 ^ _199008) ^ [_206186, _206188, _206190, _206192, _206194, _206196, _206198, _206200] : [-(tptp_update3(_206200, _206196, _206192, _206188) = tptp_update3(_206198, _206194, _206190, _206186)), _206200 = _206198, _206196 = _206194, _206192 = _206190, _206188 = _206186], (220 ^ _199008) ^ [_206819, _206821, _206823, _206825] : [-(a_select2(_206825, _206821) = a_select2(_206823, _206819)), _206825 = _206823, _206821 = _206819], (230 ^ _199008) ^ [_207206, _207208, _207210, _207212, _207214, _207216] : [-(tptp_update2(_207216, _207212, _207208) = tptp_update2(_207214, _207210, _207206)), _207216 = _207214, _207212 = _207210, _207208 = _207206], (244 ^ _199008) ^ [_207666, _207668] : [_207668 = _207666, -(succ(_207668) = succ(_207666))], (250 ^ _199008) ^ [_207920, _207922, _207924, _207926, _207928, _207930] : [-(a_select3(_207930, _207926, _207922) = a_select3(_207928, _207924, _207920)), _207930 = _207928, _207926 = _207924, _207922 = _207920], (869 ^ _199008) ^ [] : [-(gt(n5, n4))], (871 ^ _199008) ^ [] : [-(gt(n4, tptp_minus_1))], (873 ^ _199008) ^ [] : [-(gt(n5, tptp_minus_1))], (875 ^ _199008) ^ [] : [-(gt(n0, tptp_minus_1))], (877 ^ _199008) ^ [] : [-(gt(n1, tptp_minus_1))], (879 ^ _199008) ^ [] : [-(gt(n2, tptp_minus_1))], (881 ^ _199008) ^ [] : [-(gt(n3, tptp_minus_1))], (883 ^ _199008) ^ [] : [-(gt(n4, n0))], (885 ^ _199008) ^ [] : [-(gt(n5, n0))], (887 ^ _199008) ^ [] : [-(gt(n1, n0))], (889 ^ _199008) ^ [] : [-(gt(n2, n0))], (891 ^ _199008) ^ [] : [-(gt(n3, n0))], (893 ^ _199008) ^ [] : [-(gt(n4, n1))], (895 ^ _199008) ^ [] : [-(gt(n5, n1))], (897 ^ _199008) ^ [] : [-(gt(n2, n1))], (899 ^ _199008) ^ [] : [-(gt(n3, n1))], (901 ^ _199008) ^ [] : [-(gt(n4, n2))], (903 ^ _199008) ^ [] : [-(gt(n5, n2))], (905 ^ _199008) ^ [] : [-(gt(n3, n2))], (907 ^ _199008) ^ [] : [-(gt(n4, n3))], (909 ^ _199008) ^ [] : [-(gt(n5, n3))], (911 ^ _199008) ^ [_235518] : [leq(n0, _235518), leq(_235518, n4), -(_235518 = n0), -(_235518 = n1), -(_235518 = n2), -(_235518 = n3), -(_235518 = n4)], (937 ^ _199008) ^ [_236139] : [leq(n0, _236139), leq(_236139, n5), -(_236139 = n0), -(_236139 = n1), -(_236139 = n2), -(_236139 = n3), -(_236139 = n4), -(_236139 = n5)], (967 ^ _199008) ^ [_236846] : [-(_236846 = n0), leq(n0, _236846), leq(_236846, n0)], (977 ^ _199008) ^ [_237121] : [leq(n0, _237121), leq(_237121, n1), -(_237121 = n0), -(_237121 = n1)], (991 ^ _199008) ^ [_237484] : [leq(n0, _237484), leq(_237484, n2), -(_237484 = n0), -(_237484 = n1), -(_237484 = n2)], (1031 ^ _199008) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1033 ^ _199008) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1035 ^ _199008) ^ [] : [-(succ(n0) = n1)], (1037 ^ _199008) ^ [] : [-(succ(succ(n0)) = n2)], (1039 ^ _199008) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1009 ^ _199008) ^ [_237933] : [leq(n0, _237933), leq(_237933, n3), -(_237933 = n0), -(_237933 = n1), -(_237933 = n2), -(_237933 = n3)], (264 ^ _199008) ^ [_208480, _208482] : [-(gt(_208482, _208480)), -(gt(_208480, _208482)), -(_208482 = _208480)], (274 ^ _199008) ^ [_208795, _208797, _208799] : [-(gt(_208799, _208795)), gt(_208799, _208797), gt(_208797, _208795)], (284 ^ _199008) ^ [_209074] : [gt(_209074, _209074)], (286 ^ _199008) ^ [_209152] : [-(leq(_209152, _209152))], (288 ^ _199008) ^ [_209273, _209275, _209277] : [-(leq(_209277, _209273)), leq(_209277, _209275), leq(_209275, _209273)], (298 ^ _199008) ^ [_209611, _209613] : [lt(_209613, _209611), -(gt(_209611, _209613))], (304 ^ _199008) ^ [_209773, _209775] : [gt(_209773, _209775), -(lt(_209775, _209773))], (310 ^ _199008) ^ [_210014, _210016] : [geq(_210016, _210014), -(leq(_210014, _210016))], (316 ^ _199008) ^ [_210176, _210178] : [leq(_210176, _210178), -(geq(_210178, _210176))], (322 ^ _199008) ^ [_210388, _210390] : [gt(_210388, _210390), -(leq(_210390, _210388))], (328 ^ _199008) ^ [_210598, _210600] : [-(gt(_210598, _210600)), leq(_210600, _210598), -(_210600 = _210598)], (338 ^ _199008) ^ [_210929, _210931] : [leq(_210931, pred(_210929)), -(gt(_210929, _210931))], (344 ^ _199008) ^ [_211095, _211097] : [gt(_211095, _211097), -(leq(_211097, pred(_211095)))], (350 ^ _199008) ^ [_211282] : [-(gt(succ(_211282), _211282))], (352 ^ _199008) ^ [_211391, _211393] : [leq(_211393, _211391), -(leq(_211393, succ(_211391)))], (358 ^ _199008) ^ [_211634, _211636] : [leq(_211636, _211634), -(gt(succ(_211634), _211636))], (364 ^ _199008) ^ [_211800, _211802] : [gt(succ(_211800), _211802), -(leq(_211802, _211800))], (370 ^ _199008) ^ [_212016, _212018] : [leq(n0, _212018), -(leq(uniform_int_rnd(_212016, _212018), _212018))], (376 ^ _199008) ^ [_212232, _212234] : [leq(n0, _212234), -(leq(n0, uniform_int_rnd(_212232, _212234)))], (382 ^ _199008) ^ [_212476, _212478, _212480, _212482] : [-(a_select2(tptp_const_array1(dim(_212480, _212478), _212476), _212482) = _212476), leq(_212480, _212482), leq(_212482, _212478)], (392 ^ _199008) ^ [_212883, _212885, _212887, _212889, _212891, _212893, _212895] : [-(a_select3(tptp_const_array2(dim(_212893, _212891), dim(_212887, _212885), _212883), _212895, _212889) = _212883), leq(_212893, _212895), leq(_212895, _212891), leq(_212887, _212889), leq(_212889, _212885)], (410 ^ _199008) ^ [_213478, _213480] : [413 ^ _199008 : [(414 ^ _199008) ^ [] : [-(leq(n0, 411 ^ [_213478, _213480]))], (416 ^ _199008) ^ [] : [-(leq(411 ^ [_213478, _213480], _213478))], (418 ^ _199008) ^ [] : [-(leq(n0, 412 ^ [_213478, _213480]))], (420 ^ _199008) ^ [] : [-(leq(412 ^ [_213478, _213480], _213478))], (422 ^ _199008) ^ [] : [a_select3(_213480, 411 ^ [_213478, _213480], 412 ^ [_213478, _213480]) = a_select3(_213480, 412 ^ [_213478, _213480], 411 ^ [_213478, _213480])]], 423 ^ _199008 : [(424 ^ _199008) ^ [_214235, _214237] : [-(a_select3(trans(_213480), _214237, _214235) = a_select3(trans(_213480), _214235, _214237)), leq(n0, _214237), leq(_214237, _213478), leq(n0, _214235), leq(_214235, _213478)]]], (442 ^ _199008) ^ [_214782, _214784] : [445 ^ _199008 : [(446 ^ _199008) ^ [] : [-(leq(n0, 443 ^ [_214782, _214784]))], (448 ^ _199008) ^ [] : [-(leq(443 ^ [_214782, _214784], _214782))], (450 ^ _199008) ^ [] : [-(leq(n0, 444 ^ [_214782, _214784]))], (452 ^ _199008) ^ [] : [-(leq(444 ^ [_214782, _214784], _214782))], (454 ^ _199008) ^ [] : [a_select3(_214784, 443 ^ [_214782, _214784], 444 ^ [_214782, _214784]) = a_select3(_214784, 444 ^ [_214782, _214784], 443 ^ [_214782, _214784])]], 455 ^ _199008 : [(456 ^ _199008) ^ [_215539, _215541] : [-(a_select3(inv(_214784), _215541, _215539) = a_select3(inv(_214784), _215539, _215541)), leq(n0, _215541), leq(_215541, _214782), leq(n0, _215539), leq(_215539, _214782)]]], (474 ^ _199008) ^ [_216086, _216088] : [477 ^ _199008 : [(478 ^ _199008) ^ [] : [-(leq(n0, 475 ^ [_216086, _216088]))], (480 ^ _199008) ^ [] : [-(leq(475 ^ [_216086, _216088], _216086))], (482 ^ _199008) ^ [] : [-(leq(n0, 476 ^ [_216086, _216088]))], (484 ^ _199008) ^ [] : [-(leq(476 ^ [_216086, _216088], _216086))], (486 ^ _199008) ^ [] : [a_select3(_216088, 475 ^ [_216086, _216088], 476 ^ [_216086, _216088]) = a_select3(_216088, 476 ^ [_216086, _216088], 475 ^ [_216086, _216088])]], 487 ^ _199008 : [(488 ^ _199008) ^ [_216899, _216901, _216903, _216905] : [-(a_select3(tptp_update3(_216088, _216901, _216901, _216899), _216905, _216903) = a_select3(tptp_update3(_216088, _216901, _216901, _216899), _216903, _216905)), leq(n0, _216905), leq(_216905, _216086), leq(n0, _216903), leq(_216903, _216086), leq(n0, _216901), leq(_216901, _216086)]]], (514 ^ _199008) ^ [_217718, _217720, _217722] : [519 ^ _199008 : [(520 ^ _199008) ^ [] : [-(leq(n0, 517 ^ [_217718, _217720, _217722]))], (522 ^ _199008) ^ [] : [-(leq(517 ^ [_217718, _217720, _217722], _217718))], (524 ^ _199008) ^ [] : [-(leq(n0, 518 ^ [_217718, _217720, _217722]))], (526 ^ _199008) ^ [] : [-(leq(518 ^ [_217718, _217720, _217722], _217718))], (528 ^ _199008) ^ [] : [a_select3(_217722, 517 ^ [_217718, _217720, _217722], 518 ^ [_217718, _217720, _217722]) = a_select3(_217722, 518 ^ [_217718, _217720, _217722], 517 ^ [_217718, _217720, _217722])]], 531 ^ _199008 : [(532 ^ _199008) ^ [] : [-(leq(n0, 529 ^ [_217718, _217720, _217722]))], (534 ^ _199008) ^ [] : [-(leq(529 ^ [_217718, _217720, _217722], _217718))], (536 ^ _199008) ^ [] : [-(leq(n0, 530 ^ [_217718, _217720, _217722]))], (538 ^ _199008) ^ [] : [-(leq(530 ^ [_217718, _217720, _217722], _217718))], (540 ^ _199008) ^ [] : [a_select3(_217720, 529 ^ [_217718, _217720, _217722], 530 ^ [_217718, _217720, _217722]) = a_select3(_217720, 530 ^ [_217718, _217720, _217722], 529 ^ [_217718, _217720, _217722])]], 541 ^ _199008 : [(542 ^ _199008) ^ [_219227, _219229] : [-(a_select3(tptp_madd(_217722, _217720), _219229, _219227) = a_select3(tptp_madd(_217722, _217720), _219227, _219229)), leq(n0, _219229), leq(_219229, _217718), leq(n0, _219227), leq(_219227, _217718)]]], (560 ^ _199008) ^ [_219813, _219815, _219817] : [565 ^ _199008 : [(566 ^ _199008) ^ [] : [-(leq(n0, 563 ^ [_219813, _219815, _219817]))], (568 ^ _199008) ^ [] : [-(leq(563 ^ [_219813, _219815, _219817], _219813))], (570 ^ _199008) ^ [] : [-(leq(n0, 564 ^ [_219813, _219815, _219817]))], (572 ^ _199008) ^ [] : [-(leq(564 ^ [_219813, _219815, _219817], _219813))], (574 ^ _199008) ^ [] : [a_select3(_219817, 563 ^ [_219813, _219815, _219817], 564 ^ [_219813, _219815, _219817]) = a_select3(_219817, 564 ^ [_219813, _219815, _219817], 563 ^ [_219813, _219815, _219817])]], 577 ^ _199008 : [(578 ^ _199008) ^ [] : [-(leq(n0, 575 ^ [_219813, _219815, _219817]))], (580 ^ _199008) ^ [] : [-(leq(575 ^ [_219813, _219815, _219817], _219813))], (582 ^ _199008) ^ [] : [-(leq(n0, 576 ^ [_219813, _219815, _219817]))], (584 ^ _199008) ^ [] : [-(leq(576 ^ [_219813, _219815, _219817], _219813))], (586 ^ _199008) ^ [] : [a_select3(_219815, 575 ^ [_219813, _219815, _219817], 576 ^ [_219813, _219815, _219817]) = a_select3(_219815, 576 ^ [_219813, _219815, _219817], 575 ^ [_219813, _219815, _219817])]], 587 ^ _199008 : [(588 ^ _199008) ^ [_221322, _221324] : [-(a_select3(tptp_msub(_219817, _219815), _221324, _221322) = a_select3(tptp_msub(_219817, _219815), _221322, _221324)), leq(n0, _221324), leq(_221324, _219813), leq(n0, _221322), leq(_221322, _219813)]]], (606 ^ _199008) ^ [_221908, _221910, _221912] : [609 ^ _199008 : [(610 ^ _199008) ^ [] : [-(leq(n0, 607 ^ [_221908, _221910, _221912]))], (612 ^ _199008) ^ [] : [-(leq(607 ^ [_221908, _221910, _221912], _221908))], (614 ^ _199008) ^ [] : [-(leq(n0, 608 ^ [_221908, _221910, _221912]))], (616 ^ _199008) ^ [] : [-(leq(608 ^ [_221908, _221910, _221912], _221908))], (618 ^ _199008) ^ [] : [a_select3(_221910, 607 ^ [_221908, _221910, _221912], 608 ^ [_221908, _221910, _221912]) = a_select3(_221910, 608 ^ [_221908, _221910, _221912], 607 ^ [_221908, _221910, _221912])]], 619 ^ _199008 : [(620 ^ _199008) ^ [_222721, _222723] : [-(a_select3(tptp_mmul(_221912, tptp_mmul(_221910, trans(_221912))), _222723, _222721) = a_select3(tptp_mmul(_221912, tptp_mmul(_221910, trans(_221912))), _222721, _222723)), leq(n0, _222723), leq(_222723, _221908), leq(n0, _222721), leq(_222721, _221908)]]], (638 ^ _199008) ^ [_223340, _223342, _223344, _223346] : [641 ^ _199008 : [(642 ^ _199008) ^ [] : [-(leq(n0, 639 ^ [_223340, _223342, _223344, _223346]))], (644 ^ _199008) ^ [] : [-(leq(639 ^ [_223340, _223342, _223344, _223346], _223340))], (646 ^ _199008) ^ [] : [-(leq(n0, 640 ^ [_223340, _223342, _223344, _223346]))], (648 ^ _199008) ^ [] : [-(leq(640 ^ [_223340, _223342, _223344, _223346], _223340))], (650 ^ _199008) ^ [] : [a_select3(_223344, 639 ^ [_223340, _223342, _223344, _223346], 640 ^ [_223340, _223342, _223344, _223346]) = a_select3(_223344, 640 ^ [_223340, _223342, _223344, _223346], 639 ^ [_223340, _223342, _223344, _223346])]], 651 ^ _199008 : [(652 ^ _199008) ^ [_224197, _224199] : [-(a_select3(tptp_mmul(_223346, tptp_mmul(_223344, trans(_223346))), _224199, _224197) = a_select3(tptp_mmul(_223346, tptp_mmul(_223344, trans(_223346))), _224197, _224199)), leq(n0, _224199), leq(_224199, _223342), leq(n0, _224197), leq(_224197, _223342)]]], (670 ^ _199008) ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906] : [675 ^ _199008 : [(676 ^ _199008) ^ [] : [-(leq(n0, 673 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]))], (678 ^ _199008) ^ [] : [-(leq(673 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], _224892))], (680 ^ _199008) ^ [] : [-(leq(n0, 674 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]))], (682 ^ _199008) ^ [] : [-(leq(674 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], _224892))], (684 ^ _199008) ^ [] : [a_select3(_224900, 673 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], 674 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]) = a_select3(_224900, 674 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], 673 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906])]], 689 ^ _199008 : [(690 ^ _199008) ^ [] : [-(leq(n0, 687 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]))], (692 ^ _199008) ^ [] : [-(leq(687 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], _224894))], (694 ^ _199008) ^ [] : [-(leq(n0, 688 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]))], (696 ^ _199008) ^ [] : [-(leq(688 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], _224894))], (698 ^ _199008) ^ [] : [a_select3(_224906, 687 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], 688 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]) = a_select3(_224906, 688 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], 687 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906])]], 701 ^ _199008 : [(702 ^ _199008) ^ [] : [-(leq(n0, 699 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]))], (704 ^ _199008) ^ [] : [-(leq(699 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], _224894))], (706 ^ _199008) ^ [] : [-(leq(n0, 700 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]))], (708 ^ _199008) ^ [] : [-(leq(700 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], _224894))], (710 ^ _199008) ^ [] : [a_select3(_224896, 699 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], 700 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906]) = a_select3(_224896, 700 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906], 699 ^ [_224892, _224894, _224896, _224898, _224900, _224902, _224904, _224906])]], 711 ^ _199008 : [(712 ^ _199008) ^ [_227820, _227822] : [-(a_select3(tptp_madd(_224906, tptp_mmul(_224904, tptp_mmul(tptp_madd(tptp_mmul(_224902, tptp_mmul(_224900, trans(_224902))), tptp_mmul(_224898, tptp_mmul(_224896, trans(_224898)))), trans(_224904)))), _227822, _227820) = a_select3(tptp_madd(_224906, tptp_mmul(_224904, tptp_mmul(tptp_madd(tptp_mmul(_224902, tptp_mmul(_224900, trans(_224902))), tptp_mmul(_224898, tptp_mmul(_224896, trans(_224898)))), trans(_224904)))), _227820, _227822)), leq(n0, _227822), leq(_227822, _224894), leq(n0, _227820), leq(_227820, _224894)]]], (730 ^ _199008) ^ [_228573] : [-(sum(n0, tptp_minus_1, _228573) = n0)], (732 ^ _199008) ^ [_228655] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _228655))], (734 ^ _199008) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _199008) ^ [_228790] : [-(plus(_228790, n1) = succ(_228790))], (738 ^ _199008) ^ [_228873] : [-(plus(n1, _228873) = succ(_228873))], (740 ^ _199008) ^ [_228956] : [-(plus(_228956, n2) = succ(succ(_228956)))], (742 ^ _199008) ^ [_229041] : [-(plus(n2, _229041) = succ(succ(_229041)))], (744 ^ _199008) ^ [_229126] : [-(plus(_229126, n3) = succ(succ(succ(_229126))))], (746 ^ _199008) ^ [_229213] : [-(plus(n3, _229213) = succ(succ(succ(_229213))))], (748 ^ _199008) ^ [_229300] : [-(plus(_229300, n4) = succ(succ(succ(succ(_229300)))))], (750 ^ _199008) ^ [_229389] : [-(plus(n4, _229389) = succ(succ(succ(succ(_229389)))))], (752 ^ _199008) ^ [_229478] : [-(plus(_229478, n5) = succ(succ(succ(succ(succ(_229478))))))], (754 ^ _199008) ^ [_229569] : [-(plus(n5, _229569) = succ(succ(succ(succ(succ(_229569))))))], (756 ^ _199008) ^ [_229660] : [-(minus(_229660, n1) = pred(_229660))], (758 ^ _199008) ^ [_229743] : [-(pred(succ(_229743)) = _229743)], (760 ^ _199008) ^ [_229825] : [-(succ(pred(_229825)) = _229825)], (762 ^ _199008) ^ [_229965, _229967] : [leq(succ(_229967), succ(_229965)), -(leq(_229967, _229965))], (768 ^ _199008) ^ [_230135, _230137] : [leq(_230137, _230135), -(leq(succ(_230137), succ(_230135)))], (774 ^ _199008) ^ [_230355, _230357] : [leq(succ(_230357), _230355), -(gt(_230355, _230357))], (780 ^ _199008) ^ [_230569, _230571] : [leq(minus(_230571, _230569), _230571), -(leq(n0, _230569))], (786 ^ _199008) ^ [_230798, _230800, _230802, _230804] : [-(a_select3(tptp_update3(_230804, _230802, _230800, _230798), _230802, _230800) = _230798)], (788 ^ _199008) ^ [_230990, _230992, _230994, _230996, _230998, _231000, _231002] : [-(a_select3(tptp_update3(_230994, _231002, _231000, _230990), _230998, _230996) = _230992), -(_231002 = _230998), _231000 = _230996, a_select3(_230994, _230998, _230996) = _230992], (802 ^ _199008) ^ [_231533, _231535, _231537, _231539, _231541, _231543] : [-(a_select3(tptp_update3(_231535, _231539, _231537, _231533), _231543, _231541) = _231533), 807 ^ _199008 : [(808 ^ _199008) ^ [] : [-(leq(n0, 805 ^ [_231533, _231535, _231537, _231539, _231541, _231543]))], (810 ^ _199008) ^ [] : [-(leq(n0, 806 ^ [_231533, _231535, _231537, _231539, _231541, _231543]))], (812 ^ _199008) ^ [] : [-(leq(805 ^ [_231533, _231535, _231537, _231539, _231541, _231543], _231539))], (814 ^ _199008) ^ [] : [-(leq(806 ^ [_231533, _231535, _231537, _231539, _231541, _231543], _231537))], (816 ^ _199008) ^ [] : [a_select3(_231535, 805 ^ [_231533, _231535, _231537, _231539, _231541, _231543], 806 ^ [_231533, _231535, _231537, _231539, _231541, _231543]) = _231533]], leq(n0, _231543), leq(_231543, _231539), leq(n0, _231541), leq(_231541, _231537)], (834 ^ _199008) ^ [_232875, _232877, _232879] : [-(a_select2(tptp_update2(_232879, _232877, _232875), _232877) = _232875)], (836 ^ _199008) ^ [_233035, _233037, _233039, _233041, _233043] : [-(a_select2(tptp_update2(_233039, _233043, _233035), _233041) = _233037), -(_233043 = _233041), a_select2(_233039, _233041) = _233037], (865 ^ _199008) ^ [] : [-(true)], (867 ^ _199008) ^ [] : [def = use], (846 ^ _199008) ^ [_233415, _233417, _233419, _233421] : [-(a_select2(tptp_update2(_233417, _233419, _233415), _233421) = _233415), 850 ^ _199008 : [(851 ^ _199008) ^ [] : [-(leq(n0, 849 ^ [_233415, _233417, _233419, _233421]))], (853 ^ _199008) ^ [] : [-(leq(849 ^ [_233415, _233417, _233419, _233421], _233419))], (855 ^ _199008) ^ [] : [a_select2(_233417, 849 ^ [_233415, _233417, _233419, _233421]) = _233415]], leq(n0, _233421), leq(_233421, _233419)]], input).
% 17.16/16.94  ncf('1',plain,[gt(n0, n0)],start(284 ^ 0,bind([[_209074], [n0]]))).
% 17.16/16.94  ncf('1.1',plain,[-(gt(n0, n0)), leq(n0, pred(n0))],extension(338 ^ 1,bind([[_210929, _210931], [n0, n0]]))).
% 17.16/16.94  ncf('1.1.1',plain,[-(leq(n0, pred(n0))), leq(n0, 1050 ^ []), leq(1050 ^ [], pred(n0))],extension(288 ^ 2,bind([[_209273, _209275, _209277], [pred(n0), 1050 ^ [], n0]]))).
% 17.16/16.94  ncf('1.1.1.1',plain,[-(leq(n0, 1050 ^ []))],extension(1052 ^ 3)).
% 17.16/16.94  ncf('1.1.1.2',plain,[-(leq(1050 ^ [], pred(n0))), leq(1050 ^ [], tptp_minus_1), leq(tptp_minus_1, pred(n0))],extension(288 ^ 3,bind([[_209273, _209275, _209277], [pred(n0), tptp_minus_1, 1050 ^ []]]))).
% 17.16/16.94  ncf('1.1.1.2.1',plain,[-(leq(1050 ^ [], tptp_minus_1))],extension(1054 ^ 4)).
% 17.16/16.94  ncf('1.1.1.2.2',plain,[-(leq(tptp_minus_1, pred(n0))), gt(n0, tptp_minus_1)],extension(344 ^ 4,bind([[_211095, _211097], [n0, tptp_minus_1]]))).
% 17.16/16.94  ncf('1.1.1.2.2.1',plain,[-(gt(n0, tptp_minus_1))],extension(875 ^ 5)).
% 17.16/16.94  %-----------------------------------------------------
% 17.16/16.94  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------