%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV163+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n017.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 12:20:05 EDT 2023

% Result   : Theorem 23.45s 23.06s
% Output   : Proof 23.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV163+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Fri May 19 01:41:45 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 23.45/23.06  
% 23.45/23.06  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 23.45/23.06  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.45/23.06  %-----------------------------------------------------
% 23.45/23.06  ncf(matrix, plain, [(1096 ^ _207673) ^ [] : [-(leq(n0, 1094 ^ []))], (1098 ^ _207673) ^ [] : [-(leq(1094 ^ [], tptp_minus_1))], (1100 ^ _207673) ^ [] : [a_select3(q, pv10, 1094 ^ []) = divide(sqrt(times(minus(a_select3(center, 1094 ^ [], n0), a_select2(x, pv10)), minus(a_select3(center, 1094 ^ [], n0), a_select2(x, pv10)))), sum(n0, n4, sqrt(times(minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10)), minus(a_select3(center, tptp_sum_index, n0), a_select2(x, pv10))))))], (1081 ^ _207673) ^ [] : [-(leq(n0, pv10))], (1083 ^ _207673) ^ [] : [-(leq(pv10, n135299))], (1085 ^ _207673) ^ [_249031] : [-(sum(n0, n4, a_select3(q, _249031, tptp_sum_index)) = n1), leq(n0, _249031), leq(_249031, pred(pv10))], (2 ^ _207673) ^ [_207817] : [-(_207817 = _207817)], (4 ^ _207673) ^ [_207924, _207926] : [_207926 = _207924, -(_207924 = _207926)], (10 ^ _207673) ^ [_208128, _208130, _208132] : [-(_208132 = _208128), _208132 = _208130, _208130 = _208128], (20 ^ _207673) ^ [_208469, _208471, _208473, _208475] : [-(lt(_208473, _208469)), lt(_208475, _208471), _208475 = _208473, _208471 = _208469], (34 ^ _207673) ^ [_208913, _208915, _208917, _208919] : [-(geq(_208917, _208913)), geq(_208919, _208915), _208919 = _208917, _208915 = _208913], (48 ^ _207673) ^ [_209357, _209359, _209361, _209363] : [-(gt(_209361, _209357)), gt(_209363, _209359), _209363 = _209361, _209359 = _209357], (62 ^ _207673) ^ [_209781, _209783, _209785, _209787] : [-(leq(_209785, _209781)), leq(_209787, _209783), _209787 = _209785, _209783 = _209781], (76 ^ _207673) ^ [_210237, _210239, _210241, _210243] : [-(uniform_int_rnd(_210243, _210239) = uniform_int_rnd(_210241, _210237)), _210243 = _210241, _210239 = _210237], (86 ^ _207673) ^ [_210596, _210598, _210600, _210602] : [-(tptp_const_array1(_210602, _210598) = tptp_const_array1(_210600, _210596)), _210602 = _210600, _210598 = _210596], (96 ^ _207673) ^ [_210983, _210985, _210987, _210989, _210991, _210993] : [-(tptp_const_array2(_210993, _210989, _210985) = tptp_const_array2(_210991, _210987, _210983)), _210993 = _210991, _210989 = _210987, _210985 = _210983], (110 ^ _207673) ^ [_211471, _211473, _211475, _211477] : [-(dim(_211477, _211473) = dim(_211475, _211471)), _211477 = _211475, _211473 = _211471], (120 ^ _207673) ^ [_211802, _211804] : [_211804 = _211802, -(inv(_211804) = inv(_211802))], (126 ^ _207673) ^ [_212048, _212050, _212052, _212054] : [-(tptp_msub(_212054, _212050) = tptp_msub(_212052, _212048)), _212054 = _212052, _212050 = _212048], (136 ^ _207673) ^ [_212407, _212409, _212411, _212413] : [-(tptp_madd(_212413, _212409) = tptp_madd(_212411, _212407)), _212413 = _212411, _212409 = _212407], (146 ^ _207673) ^ [_212766, _212768, _212770, _212772] : [-(tptp_mmul(_212772, _212768) = tptp_mmul(_212770, _212766)), _212772 = _212770, _212768 = _212766], (156 ^ _207673) ^ [_213097, _213099] : [_213099 = _213097, -(trans(_213099) = trans(_213097))], (162 ^ _207673) ^ [_213343, _213345, _213347, _213349] : [-(plus(_213349, _213345) = plus(_213347, _213343)), _213349 = _213347, _213345 = _213343], (172 ^ _207673) ^ [_213758, _213760, _213762, _213764, _213766, _213768, _213770, _213772] : [-(tptp_update3(_213772, _213768, _213764, _213760) = tptp_update3(_213770, _213766, _213762, _213758)), _213772 = _213770, _213768 = _213766, _213764 = _213762, _213760 = _213758], (190 ^ _207673) ^ [_214419, _214421, _214423, _214425, _214427, _214429] : [-(tptp_update2(_214429, _214425, _214421) = tptp_update2(_214427, _214423, _214419)), _214429 = _214427, _214425 = _214423, _214421 = _214419], (204 ^ _207673) ^ [_214879, _214881] : [_214881 = _214879, -(succ(_214881) = succ(_214879))], (210 ^ _207673) ^ [_215097, _215099] : [_215099 = _215097, -(pred(_215099) = pred(_215097))], (216 ^ _207673) ^ [_215343, _215345, _215347, _215349] : [-(divide(_215349, _215345) = divide(_215347, _215343)), _215349 = _215347, _215345 = _215343], (226 ^ _207673) ^ [_215730, _215732, _215734, _215736, _215738, _215740] : [-(sum(_215740, _215736, _215732) = sum(_215738, _215734, _215730)), _215740 = _215738, _215736 = _215734, _215732 = _215730], (240 ^ _207673) ^ [_216190, _216192] : [_216192 = _216190, -(sqrt(_216192) = sqrt(_216190))], (246 ^ _207673) ^ [_216436, _216438, _216440, _216442] : [-(times(_216442, _216438) = times(_216440, _216436)), _216442 = _216440, _216438 = _216436], (256 ^ _207673) ^ [_216795, _216797, _216799, _216801] : [-(minus(_216801, _216797) = minus(_216799, _216795)), _216801 = _216799, _216797 = _216795], (280 ^ _207673) ^ [_217650, _217652, _217654, _217656] : [-(a_select2(_217656, _217652) = a_select2(_217654, _217650)), _217656 = _217654, _217652 = _217650], (266 ^ _207673) ^ [_217182, _217184, _217186, _217188, _217190, _217192] : [-(a_select3(_217192, _217188, _217184) = a_select3(_217190, _217186, _217182)), _217192 = _217190, _217188 = _217186, _217184 = _217182], (895 ^ _207673) ^ [] : [-(gt(n5, n4))], (897 ^ _207673) ^ [] : [-(gt(n135299, n4))], (899 ^ _207673) ^ [] : [-(gt(n135299, n5))], (901 ^ _207673) ^ [] : [-(gt(n4, tptp_minus_1))], (903 ^ _207673) ^ [] : [-(gt(n5, tptp_minus_1))], (905 ^ _207673) ^ [] : [-(gt(n135299, tptp_minus_1))], (907 ^ _207673) ^ [] : [-(gt(n0, tptp_minus_1))], (909 ^ _207673) ^ [] : [-(gt(n1, tptp_minus_1))], (911 ^ _207673) ^ [] : [-(gt(n2, tptp_minus_1))], (913 ^ _207673) ^ [] : [-(gt(n3, tptp_minus_1))], (915 ^ _207673) ^ [] : [-(gt(n4, n0))], (917 ^ _207673) ^ [] : [-(gt(n5, n0))], (919 ^ _207673) ^ [] : [-(gt(n135299, n0))], (921 ^ _207673) ^ [] : [-(gt(n1, n0))], (923 ^ _207673) ^ [] : [-(gt(n2, n0))], (925 ^ _207673) ^ [] : [-(gt(n3, n0))], (927 ^ _207673) ^ [] : [-(gt(n4, n1))], (929 ^ _207673) ^ [] : [-(gt(n5, n1))], (931 ^ _207673) ^ [] : [-(gt(n135299, n1))], (933 ^ _207673) ^ [] : [-(gt(n2, n1))], (935 ^ _207673) ^ [] : [-(gt(n3, n1))], (937 ^ _207673) ^ [] : [-(gt(n4, n2))], (939 ^ _207673) ^ [] : [-(gt(n5, n2))], (941 ^ _207673) ^ [] : [-(gt(n135299, n2))], (943 ^ _207673) ^ [] : [-(gt(n3, n2))], (945 ^ _207673) ^ [] : [-(gt(n4, n3))], (947 ^ _207673) ^ [] : [-(gt(n5, n3))], (949 ^ _207673) ^ [] : [-(gt(n135299, n3))], (951 ^ _207673) ^ [_245504] : [leq(n0, _245504), leq(_245504, n4), -(_245504 = n0), -(_245504 = n1), -(_245504 = n2), -(_245504 = n3), -(_245504 = n4)], (977 ^ _207673) ^ [_246125] : [leq(n0, _246125), leq(_246125, n5), -(_246125 = n0), -(_246125 = n1), -(_246125 = n2), -(_246125 = n3), -(_246125 = n4), -(_246125 = n5)], (1007 ^ _207673) ^ [_246832] : [-(_246832 = n0), leq(n0, _246832), leq(_246832, n0)], (1017 ^ _207673) ^ [_247107] : [leq(n0, _247107), leq(_247107, n1), -(_247107 = n0), -(_247107 = n1)], (1031 ^ _207673) ^ [_247470] : [leq(n0, _247470), leq(_247470, n2), -(_247470 = n0), -(_247470 = n1), -(_247470 = n2)], (1071 ^ _207673) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1073 ^ _207673) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1075 ^ _207673) ^ [] : [-(succ(n0) = n1)], (1077 ^ _207673) ^ [] : [-(succ(succ(n0)) = n2)], (1079 ^ _207673) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1049 ^ _207673) ^ [_247919] : [leq(n0, _247919), leq(_247919, n3), -(_247919 = n0), -(_247919 = n1), -(_247919 = n2), -(_247919 = n3)], (290 ^ _207673) ^ [_218095, _218097] : [-(gt(_218097, _218095)), -(gt(_218095, _218097)), -(_218097 = _218095)], (300 ^ _207673) ^ [_218410, _218412, _218414] : [-(gt(_218414, _218410)), gt(_218414, _218412), gt(_218412, _218410)], (310 ^ _207673) ^ [_218689] : [gt(_218689, _218689)], (312 ^ _207673) ^ [_218767] : [-(leq(_218767, _218767))], (314 ^ _207673) ^ [_218888, _218890, _218892] : [-(leq(_218892, _218888)), leq(_218892, _218890), leq(_218890, _218888)], (324 ^ _207673) ^ [_219226, _219228] : [lt(_219228, _219226), -(gt(_219226, _219228))], (330 ^ _207673) ^ [_219388, _219390] : [gt(_219388, _219390), -(lt(_219390, _219388))], (336 ^ _207673) ^ [_219629, _219631] : [geq(_219631, _219629), -(leq(_219629, _219631))], (342 ^ _207673) ^ [_219791, _219793] : [leq(_219791, _219793), -(geq(_219793, _219791))], (348 ^ _207673) ^ [_220003, _220005] : [gt(_220003, _220005), -(leq(_220005, _220003))], (354 ^ _207673) ^ [_220213, _220215] : [-(gt(_220213, _220215)), leq(_220215, _220213), -(_220215 = _220213)], (364 ^ _207673) ^ [_220544, _220546] : [leq(_220546, pred(_220544)), -(gt(_220544, _220546))], (370 ^ _207673) ^ [_220710, _220712] : [gt(_220710, _220712), -(leq(_220712, pred(_220710)))], (376 ^ _207673) ^ [_220897] : [-(gt(succ(_220897), _220897))], (378 ^ _207673) ^ [_221006, _221008] : [leq(_221008, _221006), -(leq(_221008, succ(_221006)))], (384 ^ _207673) ^ [_221249, _221251] : [leq(_221251, _221249), -(gt(succ(_221249), _221251))], (390 ^ _207673) ^ [_221415, _221417] : [gt(succ(_221415), _221417), -(leq(_221417, _221415))], (396 ^ _207673) ^ [_221631, _221633] : [leq(n0, _221633), -(leq(uniform_int_rnd(_221631, _221633), _221633))], (402 ^ _207673) ^ [_221847, _221849] : [leq(n0, _221849), -(leq(n0, uniform_int_rnd(_221847, _221849)))], (408 ^ _207673) ^ [_222091, _222093, _222095, _222097] : [-(a_select2(tptp_const_array1(dim(_222095, _222093), _222091), _222097) = _222091), leq(_222095, _222097), leq(_222097, _222093)], (418 ^ _207673) ^ [_222498, _222500, _222502, _222504, _222506, _222508, _222510] : [-(a_select3(tptp_const_array2(dim(_222508, _222506), dim(_222502, _222500), _222498), _222510, _222504) = _222498), leq(_222508, _222510), leq(_222510, _222506), leq(_222502, _222504), leq(_222504, _222500)], (436 ^ _207673) ^ [_223093, _223095] : [439 ^ _207673 : [(440 ^ _207673) ^ [] : [-(leq(n0, 437 ^ [_223093, _223095]))], (442 ^ _207673) ^ [] : [-(leq(437 ^ [_223093, _223095], _223093))], (444 ^ _207673) ^ [] : [-(leq(n0, 438 ^ [_223093, _223095]))], (446 ^ _207673) ^ [] : [-(leq(438 ^ [_223093, _223095], _223093))], (448 ^ _207673) ^ [] : [a_select3(_223095, 437 ^ [_223093, _223095], 438 ^ [_223093, _223095]) = a_select3(_223095, 438 ^ [_223093, _223095], 437 ^ [_223093, _223095])]], 449 ^ _207673 : [(450 ^ _207673) ^ [_223850, _223852] : [-(a_select3(trans(_223095), _223852, _223850) = a_select3(trans(_223095), _223850, _223852)), leq(n0, _223852), leq(_223852, _223093), leq(n0, _223850), leq(_223850, _223093)]]], (468 ^ _207673) ^ [_224397, _224399] : [471 ^ _207673 : [(472 ^ _207673) ^ [] : [-(leq(n0, 469 ^ [_224397, _224399]))], (474 ^ _207673) ^ [] : [-(leq(469 ^ [_224397, _224399], _224397))], (476 ^ _207673) ^ [] : [-(leq(n0, 470 ^ [_224397, _224399]))], (478 ^ _207673) ^ [] : [-(leq(470 ^ [_224397, _224399], _224397))], (480 ^ _207673) ^ [] : [a_select3(_224399, 469 ^ [_224397, _224399], 470 ^ [_224397, _224399]) = a_select3(_224399, 470 ^ [_224397, _224399], 469 ^ [_224397, _224399])]], 481 ^ _207673 : [(482 ^ _207673) ^ [_225154, _225156] : [-(a_select3(inv(_224399), _225156, _225154) = a_select3(inv(_224399), _225154, _225156)), leq(n0, _225156), leq(_225156, _224397), leq(n0, _225154), leq(_225154, _224397)]]], (500 ^ _207673) ^ [_225701, _225703] : [503 ^ _207673 : [(504 ^ _207673) ^ [] : [-(leq(n0, 501 ^ [_225701, _225703]))], (506 ^ _207673) ^ [] : [-(leq(501 ^ [_225701, _225703], _225701))], (508 ^ _207673) ^ [] : [-(leq(n0, 502 ^ [_225701, _225703]))], (510 ^ _207673) ^ [] : [-(leq(502 ^ [_225701, _225703], _225701))], (512 ^ _207673) ^ [] : [a_select3(_225703, 501 ^ [_225701, _225703], 502 ^ [_225701, _225703]) = a_select3(_225703, 502 ^ [_225701, _225703], 501 ^ [_225701, _225703])]], 513 ^ _207673 : [(514 ^ _207673) ^ [_226514, _226516, _226518, _226520] : [-(a_select3(tptp_update3(_225703, _226516, _226516, _226514), _226520, _226518) = a_select3(tptp_update3(_225703, _226516, _226516, _226514), _226518, _226520)), leq(n0, _226520), leq(_226520, _225701), leq(n0, _226518), leq(_226518, _225701), leq(n0, _226516), leq(_226516, _225701)]]], (540 ^ _207673) ^ [_227333, _227335, _227337] : [545 ^ _207673 : [(546 ^ _207673) ^ [] : [-(leq(n0, 543 ^ [_227333, _227335, _227337]))], (548 ^ _207673) ^ [] : [-(leq(543 ^ [_227333, _227335, _227337], _227333))], (550 ^ _207673) ^ [] : [-(leq(n0, 544 ^ [_227333, _227335, _227337]))], (552 ^ _207673) ^ [] : [-(leq(544 ^ [_227333, _227335, _227337], _227333))], (554 ^ _207673) ^ [] : [a_select3(_227337, 543 ^ [_227333, _227335, _227337], 544 ^ [_227333, _227335, _227337]) = a_select3(_227337, 544 ^ [_227333, _227335, _227337], 543 ^ [_227333, _227335, _227337])]], 557 ^ _207673 : [(558 ^ _207673) ^ [] : [-(leq(n0, 555 ^ [_227333, _227335, _227337]))], (560 ^ _207673) ^ [] : [-(leq(555 ^ [_227333, _227335, _227337], _227333))], (562 ^ _207673) ^ [] : [-(leq(n0, 556 ^ [_227333, _227335, _227337]))], (564 ^ _207673) ^ [] : [-(leq(556 ^ [_227333, _227335, _227337], _227333))], (566 ^ _207673) ^ [] : [a_select3(_227335, 555 ^ [_227333, _227335, _227337], 556 ^ [_227333, _227335, _227337]) = a_select3(_227335, 556 ^ [_227333, _227335, _227337], 555 ^ [_227333, _227335, _227337])]], 567 ^ _207673 : [(568 ^ _207673) ^ [_228842, _228844] : [-(a_select3(tptp_madd(_227337, _227335), _228844, _228842) = a_select3(tptp_madd(_227337, _227335), _228842, _228844)), leq(n0, _228844), leq(_228844, _227333), leq(n0, _228842), leq(_228842, _227333)]]], (586 ^ _207673) ^ [_229428, _229430, _229432] : [591 ^ _207673 : [(592 ^ _207673) ^ [] : [-(leq(n0, 589 ^ [_229428, _229430, _229432]))], (594 ^ _207673) ^ [] : [-(leq(589 ^ [_229428, _229430, _229432], _229428))], (596 ^ _207673) ^ [] : [-(leq(n0, 590 ^ [_229428, _229430, _229432]))], (598 ^ _207673) ^ [] : [-(leq(590 ^ [_229428, _229430, _229432], _229428))], (600 ^ _207673) ^ [] : [a_select3(_229432, 589 ^ [_229428, _229430, _229432], 590 ^ [_229428, _229430, _229432]) = a_select3(_229432, 590 ^ [_229428, _229430, _229432], 589 ^ [_229428, _229430, _229432])]], 603 ^ _207673 : [(604 ^ _207673) ^ [] : [-(leq(n0, 601 ^ [_229428, _229430, _229432]))], (606 ^ _207673) ^ [] : [-(leq(601 ^ [_229428, _229430, _229432], _229428))], (608 ^ _207673) ^ [] : [-(leq(n0, 602 ^ [_229428, _229430, _229432]))], (610 ^ _207673) ^ [] : [-(leq(602 ^ [_229428, _229430, _229432], _229428))], (612 ^ _207673) ^ [] : [a_select3(_229430, 601 ^ [_229428, _229430, _229432], 602 ^ [_229428, _229430, _229432]) = a_select3(_229430, 602 ^ [_229428, _229430, _229432], 601 ^ [_229428, _229430, _229432])]], 613 ^ _207673 : [(614 ^ _207673) ^ [_230937, _230939] : [-(a_select3(tptp_msub(_229432, _229430), _230939, _230937) = a_select3(tptp_msub(_229432, _229430), _230937, _230939)), leq(n0, _230939), leq(_230939, _229428), leq(n0, _230937), leq(_230937, _229428)]]], (632 ^ _207673) ^ [_231523, _231525, _231527] : [635 ^ _207673 : [(636 ^ _207673) ^ [] : [-(leq(n0, 633 ^ [_231523, _231525, _231527]))], (638 ^ _207673) ^ [] : [-(leq(633 ^ [_231523, _231525, _231527], _231523))], (640 ^ _207673) ^ [] : [-(leq(n0, 634 ^ [_231523, _231525, _231527]))], (642 ^ _207673) ^ [] : [-(leq(634 ^ [_231523, _231525, _231527], _231523))], (644 ^ _207673) ^ [] : [a_select3(_231525, 633 ^ [_231523, _231525, _231527], 634 ^ [_231523, _231525, _231527]) = a_select3(_231525, 634 ^ [_231523, _231525, _231527], 633 ^ [_231523, _231525, _231527])]], 645 ^ _207673 : [(646 ^ _207673) ^ [_232336, _232338] : [-(a_select3(tptp_mmul(_231527, tptp_mmul(_231525, trans(_231527))), _232338, _232336) = a_select3(tptp_mmul(_231527, tptp_mmul(_231525, trans(_231527))), _232336, _232338)), leq(n0, _232338), leq(_232338, _231523), leq(n0, _232336), leq(_232336, _231523)]]], (664 ^ _207673) ^ [_232955, _232957, _232959, _232961] : [667 ^ _207673 : [(668 ^ _207673) ^ [] : [-(leq(n0, 665 ^ [_232955, _232957, _232959, _232961]))], (670 ^ _207673) ^ [] : [-(leq(665 ^ [_232955, _232957, _232959, _232961], _232955))], (672 ^ _207673) ^ [] : [-(leq(n0, 666 ^ [_232955, _232957, _232959, _232961]))], (674 ^ _207673) ^ [] : [-(leq(666 ^ [_232955, _232957, _232959, _232961], _232955))], (676 ^ _207673) ^ [] : [a_select3(_232959, 665 ^ [_232955, _232957, _232959, _232961], 666 ^ [_232955, _232957, _232959, _232961]) = a_select3(_232959, 666 ^ [_232955, _232957, _232959, _232961], 665 ^ [_232955, _232957, _232959, _232961])]], 677 ^ _207673 : [(678 ^ _207673) ^ [_233812, _233814] : [-(a_select3(tptp_mmul(_232961, tptp_mmul(_232959, trans(_232961))), _233814, _233812) = a_select3(tptp_mmul(_232961, tptp_mmul(_232959, trans(_232961))), _233812, _233814)), leq(n0, _233814), leq(_233814, _232957), leq(n0, _233812), leq(_233812, _232957)]]], (696 ^ _207673) ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521] : [701 ^ _207673 : [(702 ^ _207673) ^ [] : [-(leq(n0, 699 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]))], (704 ^ _207673) ^ [] : [-(leq(699 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], _234507))], (706 ^ _207673) ^ [] : [-(leq(n0, 700 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]))], (708 ^ _207673) ^ [] : [-(leq(700 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], _234507))], (710 ^ _207673) ^ [] : [a_select3(_234515, 699 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], 700 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]) = a_select3(_234515, 700 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], 699 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521])]], 715 ^ _207673 : [(716 ^ _207673) ^ [] : [-(leq(n0, 713 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]))], (718 ^ _207673) ^ [] : [-(leq(713 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], _234509))], (720 ^ _207673) ^ [] : [-(leq(n0, 714 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]))], (722 ^ _207673) ^ [] : [-(leq(714 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], _234509))], (724 ^ _207673) ^ [] : [a_select3(_234521, 713 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], 714 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]) = a_select3(_234521, 714 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], 713 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521])]], 727 ^ _207673 : [(728 ^ _207673) ^ [] : [-(leq(n0, 725 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]))], (730 ^ _207673) ^ [] : [-(leq(725 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], _234509))], (732 ^ _207673) ^ [] : [-(leq(n0, 726 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]))], (734 ^ _207673) ^ [] : [-(leq(726 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], _234509))], (736 ^ _207673) ^ [] : [a_select3(_234511, 725 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], 726 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521]) = a_select3(_234511, 726 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521], 725 ^ [_234507, _234509, _234511, _234513, _234515, _234517, _234519, _234521])]], 737 ^ _207673 : [(738 ^ _207673) ^ [_237435, _237437] : [-(a_select3(tptp_madd(_234521, tptp_mmul(_234519, tptp_mmul(tptp_madd(tptp_mmul(_234517, tptp_mmul(_234515, trans(_234517))), tptp_mmul(_234513, tptp_mmul(_234511, trans(_234513)))), trans(_234519)))), _237437, _237435) = a_select3(tptp_madd(_234521, tptp_mmul(_234519, tptp_mmul(tptp_madd(tptp_mmul(_234517, tptp_mmul(_234515, trans(_234517))), tptp_mmul(_234513, tptp_mmul(_234511, trans(_234513)))), trans(_234519)))), _237435, _237437)), leq(n0, _237437), leq(_237437, _234509), leq(n0, _237435), leq(_237435, _234509)]]], (756 ^ _207673) ^ [_238188] : [-(sum(n0, tptp_minus_1, _238188) = n0)], (758 ^ _207673) ^ [_238270] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _238270))], (760 ^ _207673) ^ [] : [-(succ(tptp_minus_1) = n0)], (762 ^ _207673) ^ [_238405] : [-(plus(_238405, n1) = succ(_238405))], (764 ^ _207673) ^ [_238488] : [-(plus(n1, _238488) = succ(_238488))], (766 ^ _207673) ^ [_238571] : [-(plus(_238571, n2) = succ(succ(_238571)))], (768 ^ _207673) ^ [_238656] : [-(plus(n2, _238656) = succ(succ(_238656)))], (770 ^ _207673) ^ [_238741] : [-(plus(_238741, n3) = succ(succ(succ(_238741))))], (772 ^ _207673) ^ [_238828] : [-(plus(n3, _238828) = succ(succ(succ(_238828))))], (774 ^ _207673) ^ [_238915] : [-(plus(_238915, n4) = succ(succ(succ(succ(_238915)))))], (776 ^ _207673) ^ [_239004] : [-(plus(n4, _239004) = succ(succ(succ(succ(_239004)))))], (778 ^ _207673) ^ [_239093] : [-(plus(_239093, n5) = succ(succ(succ(succ(succ(_239093))))))], (780 ^ _207673) ^ [_239184] : [-(plus(n5, _239184) = succ(succ(succ(succ(succ(_239184))))))], (782 ^ _207673) ^ [_239275] : [-(minus(_239275, n1) = pred(_239275))], (784 ^ _207673) ^ [_239358] : [-(pred(succ(_239358)) = _239358)], (786 ^ _207673) ^ [_239440] : [-(succ(pred(_239440)) = _239440)], (788 ^ _207673) ^ [_239580, _239582] : [leq(succ(_239582), succ(_239580)), -(leq(_239582, _239580))], (794 ^ _207673) ^ [_239750, _239752] : [leq(_239752, _239750), -(leq(succ(_239752), succ(_239750)))], (800 ^ _207673) ^ [_239970, _239972] : [leq(succ(_239972), _239970), -(gt(_239970, _239972))], (806 ^ _207673) ^ [_240184, _240186] : [leq(minus(_240186, _240184), _240186), -(leq(n0, _240184))], (812 ^ _207673) ^ [_240413, _240415, _240417, _240419] : [-(a_select3(tptp_update3(_240419, _240417, _240415, _240413), _240417, _240415) = _240413)], (814 ^ _207673) ^ [_240605, _240607, _240609, _240611, _240613, _240615, _240617] : [-(a_select3(tptp_update3(_240609, _240617, _240615, _240605), _240613, _240611) = _240607), -(_240617 = _240613), _240615 = _240611, a_select3(_240609, _240613, _240611) = _240607], (828 ^ _207673) ^ [_241148, _241150, _241152, _241154, _241156, _241158] : [-(a_select3(tptp_update3(_241150, _241154, _241152, _241148), _241158, _241156) = _241148), 833 ^ _207673 : [(834 ^ _207673) ^ [] : [-(leq(n0, 831 ^ [_241148, _241150, _241152, _241154, _241156, _241158]))], (836 ^ _207673) ^ [] : [-(leq(n0, 832 ^ [_241148, _241150, _241152, _241154, _241156, _241158]))], (838 ^ _207673) ^ [] : [-(leq(831 ^ [_241148, _241150, _241152, _241154, _241156, _241158], _241154))], (840 ^ _207673) ^ [] : [-(leq(832 ^ [_241148, _241150, _241152, _241154, _241156, _241158], _241152))], (842 ^ _207673) ^ [] : [a_select3(_241150, 831 ^ [_241148, _241150, _241152, _241154, _241156, _241158], 832 ^ [_241148, _241150, _241152, _241154, _241156, _241158]) = _241148]], leq(n0, _241158), leq(_241158, _241154), leq(n0, _241156), leq(_241156, _241152)], (860 ^ _207673) ^ [_242490, _242492, _242494] : [-(a_select2(tptp_update2(_242494, _242492, _242490), _242492) = _242490)], (862 ^ _207673) ^ [_242650, _242652, _242654, _242656, _242658] : [-(a_select2(tptp_update2(_242654, _242658, _242650), _242656) = _242652), -(_242658 = _242656), a_select2(_242654, _242656) = _242652], (891 ^ _207673) ^ [] : [-(true)], (893 ^ _207673) ^ [] : [def = use], (872 ^ _207673) ^ [_243030, _243032, _243034, _243036] : [-(a_select2(tptp_update2(_243032, _243034, _243030), _243036) = _243030), 876 ^ _207673 : [(877 ^ _207673) ^ [] : [-(leq(n0, 875 ^ [_243030, _243032, _243034, _243036]))], (879 ^ _207673) ^ [] : [-(leq(875 ^ [_243030, _243032, _243034, _243036], _243034))], (881 ^ _207673) ^ [] : [a_select2(_243032, 875 ^ [_243030, _243032, _243034, _243036]) = _243030]], leq(n0, _243036), leq(_243036, _243034)]], input).
% 23.45/23.06  ncf('1',plain,[gt(n0, n0)],start(310 ^ 0,bind([[_218689], [n0]]))).
% 23.45/23.06  ncf('1.1',plain,[-(gt(n0, n0)), leq(n0, pred(n0))],extension(364 ^ 1,bind([[_220544, _220546], [n0, n0]]))).
% 23.45/23.06  ncf('1.1.1',plain,[-(leq(n0, pred(n0))), leq(n0, 1094 ^ []), leq(1094 ^ [], pred(n0))],extension(314 ^ 2,bind([[_218888, _218890, _218892], [pred(n0), 1094 ^ [], n0]]))).
% 23.45/23.06  ncf('1.1.1.1',plain,[-(leq(n0, 1094 ^ []))],extension(1096 ^ 3)).
% 23.45/23.06  ncf('1.1.1.2',plain,[-(leq(1094 ^ [], pred(n0))), leq(1094 ^ [], tptp_minus_1), leq(tptp_minus_1, pred(n0))],extension(314 ^ 3,bind([[_218888, _218890, _218892], [pred(n0), tptp_minus_1, 1094 ^ []]]))).
% 23.45/23.06  ncf('1.1.1.2.1',plain,[-(leq(1094 ^ [], tptp_minus_1))],extension(1098 ^ 4)).
% 23.45/23.06  ncf('1.1.1.2.2',plain,[-(leq(tptp_minus_1, pred(n0))), gt(n0, tptp_minus_1)],extension(370 ^ 4,bind([[_220710, _220712], [n0, tptp_minus_1]]))).
% 23.45/23.06  ncf('1.1.1.2.2.1',plain,[-(gt(n0, tptp_minus_1))],extension(907 ^ 5)).
% 23.45/23.06  %-----------------------------------------------------
% 23.45/23.06  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------