%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV176+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 12:20:07 EDT 2023

% Result   : Theorem 0.26s 1.36s
% Output   : Proof 0.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV176+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 03:03:12 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.26/1.36  
% 0.26/1.36  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.26/1.36  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/1.36  %-----------------------------------------------------
% 0.26/1.36  ncf(matrix, plain, [(1166 ^ _210490) ^ [] : [-(leq(n0, 1164 ^ []))], (1168 ^ _210490) ^ [] : [-(leq(1164 ^ [], n4))], (1170 ^ _210490) ^ [] : [a_select2(muold_init, 1164 ^ []) = init], (1055 ^ _210490) ^ [] : [-(leq(n0, pv40))], (1057 ^ _210490) ^ [] : [-(leq(n0, pv44))], (1059 ^ _210490) ^ [] : [-(leq(pv40, n4))], (1061 ^ _210490) ^ [] : [-(leq(pv44, n135299))], (1063 ^ _210490) ^ [] : [-(gt(loopcounter, n1))], (1065 ^ _210490) ^ [_251071] : [leq(n0, _251071), leq(_251071, n135299), 1072 ^ _210490 : [(1073 ^ _210490) ^ [_251299] : [-(a_select3(q_init, _251071, _251299) = init), leq(n0, _251299), leq(_251299, n4)]]], (1083 ^ _210490) ^ [_251601] : [-(a_select2(rho_init, _251601) = init), leq(n0, _251601), leq(_251601, n4)], (1093 ^ _210490) ^ [_251882] : [-(a_select2(mu_init, _251882) = init), leq(n0, _251882), leq(_251882, pred(pv40))], (1103 ^ _210490) ^ [_252163] : [-(a_select2(sigma_init, _252163) = init), leq(n0, _252163), leq(_252163, pred(pv40))], (1113 ^ _210490) ^ [_252444] : [-(a_select3(center_init, _252444, n0) = init), leq(n0, _252444), leq(_252444, n4)], (1123 ^ _210490) ^ [] : [gt(loopcounter, n1), 1126 ^ _210490 : [(1127 ^ _210490) ^ [_252789] : [-(a_select2(muold_init, _252789) = init), leq(n0, _252789), leq(_252789, n4)]]], (1137 ^ _210490) ^ [] : [gt(loopcounter, n1), 1140 ^ _210490 : [(1141 ^ _210490) ^ [_253137] : [-(a_select2(rhoold_init, _253137) = init), leq(n0, _253137), leq(_253137, n4)]]], (1151 ^ _210490) ^ [] : [gt(loopcounter, n1), 1154 ^ _210490 : [(1155 ^ _210490) ^ [_253465] : [-(a_select2(sigmaold_init, _253465) = init), leq(n0, _253465), leq(_253465, n4)]]], (2 ^ _210490) ^ [_210634] : [-(_210634 = _210634)], (4 ^ _210490) ^ [_210741, _210743] : [_210743 = _210741, -(_210741 = _210743)], (10 ^ _210490) ^ [_210945, _210947, _210949] : [-(_210949 = _210945), _210949 = _210947, _210947 = _210945], (20 ^ _210490) ^ [_211286, _211288, _211290, _211292] : [-(lt(_211290, _211286)), lt(_211292, _211288), _211292 = _211290, _211288 = _211286], (34 ^ _210490) ^ [_211730, _211732, _211734, _211736] : [-(geq(_211734, _211730)), geq(_211736, _211732), _211736 = _211734, _211732 = _211730], (48 ^ _210490) ^ [_212174, _212176, _212178, _212180] : [-(gt(_212178, _212174)), gt(_212180, _212176), _212180 = _212178, _212176 = _212174], (62 ^ _210490) ^ [_212598, _212600, _212602, _212604] : [-(leq(_212602, _212598)), leq(_212604, _212600), _212604 = _212602, _212600 = _212598], (76 ^ _210490) ^ [_213054, _213056, _213058, _213060] : [-(uniform_int_rnd(_213060, _213056) = uniform_int_rnd(_213058, _213054)), _213060 = _213058, _213056 = _213054], (86 ^ _210490) ^ [_213413, _213415, _213417, _213419] : [-(tptp_const_array1(_213419, _213415) = tptp_const_array1(_213417, _213413)), _213419 = _213417, _213415 = _213413], (96 ^ _210490) ^ [_213800, _213802, _213804, _213806, _213808, _213810] : [-(tptp_const_array2(_213810, _213806, _213802) = tptp_const_array2(_213808, _213804, _213800)), _213810 = _213808, _213806 = _213804, _213802 = _213800], (110 ^ _210490) ^ [_214288, _214290, _214292, _214294] : [-(dim(_214294, _214290) = dim(_214292, _214288)), _214294 = _214292, _214290 = _214288], (120 ^ _210490) ^ [_214619, _214621] : [_214621 = _214619, -(inv(_214621) = inv(_214619))], (126 ^ _210490) ^ [_214865, _214867, _214869, _214871] : [-(tptp_msub(_214871, _214867) = tptp_msub(_214869, _214865)), _214871 = _214869, _214867 = _214865], (136 ^ _210490) ^ [_215224, _215226, _215228, _215230] : [-(tptp_madd(_215230, _215226) = tptp_madd(_215228, _215224)), _215230 = _215228, _215226 = _215224], (146 ^ _210490) ^ [_215583, _215585, _215587, _215589] : [-(tptp_mmul(_215589, _215585) = tptp_mmul(_215587, _215583)), _215589 = _215587, _215585 = _215583], (156 ^ _210490) ^ [_215914, _215916] : [_215916 = _215914, -(trans(_215916) = trans(_215914))], (162 ^ _210490) ^ [_216188, _216190, _216192, _216194, _216196, _216198] : [-(sum(_216198, _216194, _216190) = sum(_216196, _216192, _216188)), _216198 = _216196, _216194 = _216192, _216190 = _216188], (176 ^ _210490) ^ [_216676, _216678, _216680, _216682] : [-(plus(_216682, _216678) = plus(_216680, _216676)), _216682 = _216680, _216678 = _216676], (186 ^ _210490) ^ [_217035, _217037, _217039, _217041] : [-(minus(_217041, _217037) = minus(_217039, _217035)), _217041 = _217039, _217037 = _217035], (196 ^ _210490) ^ [_217450, _217452, _217454, _217456, _217458, _217460, _217462, _217464] : [-(tptp_update3(_217464, _217460, _217456, _217452) = tptp_update3(_217462, _217458, _217454, _217450)), _217464 = _217462, _217460 = _217458, _217456 = _217454, _217452 = _217450], (214 ^ _210490) ^ [_218111, _218113, _218115, _218117, _218119, _218121] : [-(tptp_update2(_218121, _218117, _218113) = tptp_update2(_218119, _218115, _218111)), _218121 = _218119, _218117 = _218115, _218113 = _218111], (228 ^ _210490) ^ [_218571, _218573] : [_218573 = _218571, -(succ(_218573) = succ(_218571))], (234 ^ _210490) ^ [_218789, _218791] : [_218791 = _218789, -(pred(_218791) = pred(_218789))], (254 ^ _210490) ^ [_219531, _219533, _219535, _219537] : [-(a_select2(_219537, _219533) = a_select2(_219535, _219531)), _219537 = _219535, _219533 = _219531], (240 ^ _210490) ^ [_219063, _219065, _219067, _219069, _219071, _219073] : [-(a_select3(_219073, _219069, _219065) = a_select3(_219071, _219067, _219063)), _219073 = _219071, _219069 = _219067, _219065 = _219063], (869 ^ _210490) ^ [] : [-(gt(n5, n4))], (871 ^ _210490) ^ [] : [-(gt(n135299, n4))], (873 ^ _210490) ^ [] : [-(gt(n135299, n5))], (875 ^ _210490) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _210490) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _210490) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _210490) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _210490) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _210490) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _210490) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _210490) ^ [] : [-(gt(n4, n0))], (891 ^ _210490) ^ [] : [-(gt(n5, n0))], (893 ^ _210490) ^ [] : [-(gt(n135299, n0))], (895 ^ _210490) ^ [] : [-(gt(n1, n0))], (897 ^ _210490) ^ [] : [-(gt(n2, n0))], (899 ^ _210490) ^ [] : [-(gt(n3, n0))], (901 ^ _210490) ^ [] : [-(gt(n4, n1))], (903 ^ _210490) ^ [] : [-(gt(n5, n1))], (905 ^ _210490) ^ [] : [-(gt(n135299, n1))], (907 ^ _210490) ^ [] : [-(gt(n2, n1))], (909 ^ _210490) ^ [] : [-(gt(n3, n1))], (911 ^ _210490) ^ [] : [-(gt(n4, n2))], (913 ^ _210490) ^ [] : [-(gt(n5, n2))], (915 ^ _210490) ^ [] : [-(gt(n135299, n2))], (917 ^ _210490) ^ [] : [-(gt(n3, n2))], (919 ^ _210490) ^ [] : [-(gt(n4, n3))], (921 ^ _210490) ^ [] : [-(gt(n5, n3))], (923 ^ _210490) ^ [] : [-(gt(n135299, n3))], (925 ^ _210490) ^ [_247371] : [leq(n0, _247371), leq(_247371, n4), -(_247371 = n0), -(_247371 = n1), -(_247371 = n2), -(_247371 = n3), -(_247371 = n4)], (951 ^ _210490) ^ [_247992] : [leq(n0, _247992), leq(_247992, n5), -(_247992 = n0), -(_247992 = n1), -(_247992 = n2), -(_247992 = n3), -(_247992 = n4), -(_247992 = n5)], (981 ^ _210490) ^ [_248699] : [-(_248699 = n0), leq(n0, _248699), leq(_248699, n0)], (991 ^ _210490) ^ [_248974] : [leq(n0, _248974), leq(_248974, n1), -(_248974 = n0), -(_248974 = n1)], (1005 ^ _210490) ^ [_249337] : [leq(n0, _249337), leq(_249337, n2), -(_249337 = n0), -(_249337 = n1), -(_249337 = n2)], (1045 ^ _210490) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _210490) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _210490) ^ [] : [-(succ(n0) = n1)], (1051 ^ _210490) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _210490) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _210490) ^ [_249786] : [leq(n0, _249786), leq(_249786, n3), -(_249786 = n0), -(_249786 = n1), -(_249786 = n2), -(_249786 = n3)], (264 ^ _210490) ^ [_219962, _219964] : [-(gt(_219964, _219962)), -(gt(_219962, _219964)), -(_219964 = _219962)], (274 ^ _210490) ^ [_220277, _220279, _220281] : [-(gt(_220281, _220277)), gt(_220281, _220279), gt(_220279, _220277)], (284 ^ _210490) ^ [_220556] : [gt(_220556, _220556)], (286 ^ _210490) ^ [_220634] : [-(leq(_220634, _220634))], (288 ^ _210490) ^ [_220755, _220757, _220759] : [-(leq(_220759, _220755)), leq(_220759, _220757), leq(_220757, _220755)], (298 ^ _210490) ^ [_221093, _221095] : [lt(_221095, _221093), -(gt(_221093, _221095))], (304 ^ _210490) ^ [_221255, _221257] : [gt(_221255, _221257), -(lt(_221257, _221255))], (310 ^ _210490) ^ [_221496, _221498] : [geq(_221498, _221496), -(leq(_221496, _221498))], (316 ^ _210490) ^ [_221658, _221660] : [leq(_221658, _221660), -(geq(_221660, _221658))], (322 ^ _210490) ^ [_221870, _221872] : [gt(_221870, _221872), -(leq(_221872, _221870))], (328 ^ _210490) ^ [_222080, _222082] : [-(gt(_222080, _222082)), leq(_222082, _222080), -(_222082 = _222080)], (338 ^ _210490) ^ [_222411, _222413] : [leq(_222413, pred(_222411)), -(gt(_222411, _222413))], (344 ^ _210490) ^ [_222577, _222579] : [gt(_222577, _222579), -(leq(_222579, pred(_222577)))], (350 ^ _210490) ^ [_222764] : [-(gt(succ(_222764), _222764))], (352 ^ _210490) ^ [_222873, _222875] : [leq(_222875, _222873), -(leq(_222875, succ(_222873)))], (358 ^ _210490) ^ [_223116, _223118] : [leq(_223118, _223116), -(gt(succ(_223116), _223118))], (364 ^ _210490) ^ [_223282, _223284] : [gt(succ(_223282), _223284), -(leq(_223284, _223282))], (370 ^ _210490) ^ [_223498, _223500] : [leq(n0, _223500), -(leq(uniform_int_rnd(_223498, _223500), _223500))], (376 ^ _210490) ^ [_223714, _223716] : [leq(n0, _223716), -(leq(n0, uniform_int_rnd(_223714, _223716)))], (382 ^ _210490) ^ [_223958, _223960, _223962, _223964] : [-(a_select2(tptp_const_array1(dim(_223962, _223960), _223958), _223964) = _223958), leq(_223962, _223964), leq(_223964, _223960)], (392 ^ _210490) ^ [_224365, _224367, _224369, _224371, _224373, _224375, _224377] : [-(a_select3(tptp_const_array2(dim(_224375, _224373), dim(_224369, _224367), _224365), _224377, _224371) = _224365), leq(_224375, _224377), leq(_224377, _224373), leq(_224369, _224371), leq(_224371, _224367)], (410 ^ _210490) ^ [_224960, _224962] : [413 ^ _210490 : [(414 ^ _210490) ^ [] : [-(leq(n0, 411 ^ [_224960, _224962]))], (416 ^ _210490) ^ [] : [-(leq(411 ^ [_224960, _224962], _224960))], (418 ^ _210490) ^ [] : [-(leq(n0, 412 ^ [_224960, _224962]))], (420 ^ _210490) ^ [] : [-(leq(412 ^ [_224960, _224962], _224960))], (422 ^ _210490) ^ [] : [a_select3(_224962, 411 ^ [_224960, _224962], 412 ^ [_224960, _224962]) = a_select3(_224962, 412 ^ [_224960, _224962], 411 ^ [_224960, _224962])]], 423 ^ _210490 : [(424 ^ _210490) ^ [_225717, _225719] : [-(a_select3(trans(_224962), _225719, _225717) = a_select3(trans(_224962), _225717, _225719)), leq(n0, _225719), leq(_225719, _224960), leq(n0, _225717), leq(_225717, _224960)]]], (442 ^ _210490) ^ [_226264, _226266] : [445 ^ _210490 : [(446 ^ _210490) ^ [] : [-(leq(n0, 443 ^ [_226264, _226266]))], (448 ^ _210490) ^ [] : [-(leq(443 ^ [_226264, _226266], _226264))], (450 ^ _210490) ^ [] : [-(leq(n0, 444 ^ [_226264, _226266]))], (452 ^ _210490) ^ [] : [-(leq(444 ^ [_226264, _226266], _226264))], (454 ^ _210490) ^ [] : [a_select3(_226266, 443 ^ [_226264, _226266], 444 ^ [_226264, _226266]) = a_select3(_226266, 444 ^ [_226264, _226266], 443 ^ [_226264, _226266])]], 455 ^ _210490 : [(456 ^ _210490) ^ [_227021, _227023] : [-(a_select3(inv(_226266), _227023, _227021) = a_select3(inv(_226266), _227021, _227023)), leq(n0, _227023), leq(_227023, _226264), leq(n0, _227021), leq(_227021, _226264)]]], (474 ^ _210490) ^ [_227568, _227570] : [477 ^ _210490 : [(478 ^ _210490) ^ [] : [-(leq(n0, 475 ^ [_227568, _227570]))], (480 ^ _210490) ^ [] : [-(leq(475 ^ [_227568, _227570], _227568))], (482 ^ _210490) ^ [] : [-(leq(n0, 476 ^ [_227568, _227570]))], (484 ^ _210490) ^ [] : [-(leq(476 ^ [_227568, _227570], _227568))], (486 ^ _210490) ^ [] : [a_select3(_227570, 475 ^ [_227568, _227570], 476 ^ [_227568, _227570]) = a_select3(_227570, 476 ^ [_227568, _227570], 475 ^ [_227568, _227570])]], 487 ^ _210490 : [(488 ^ _210490) ^ [_228381, _228383, _228385, _228387] : [-(a_select3(tptp_update3(_227570, _228383, _228383, _228381), _228387, _228385) = a_select3(tptp_update3(_227570, _228383, _228383, _228381), _228385, _228387)), leq(n0, _228387), leq(_228387, _227568), leq(n0, _228385), leq(_228385, _227568), leq(n0, _228383), leq(_228383, _227568)]]], (514 ^ _210490) ^ [_229200, _229202, _229204] : [519 ^ _210490 : [(520 ^ _210490) ^ [] : [-(leq(n0, 517 ^ [_229200, _229202, _229204]))], (522 ^ _210490) ^ [] : [-(leq(517 ^ [_229200, _229202, _229204], _229200))], (524 ^ _210490) ^ [] : [-(leq(n0, 518 ^ [_229200, _229202, _229204]))], (526 ^ _210490) ^ [] : [-(leq(518 ^ [_229200, _229202, _229204], _229200))], (528 ^ _210490) ^ [] : [a_select3(_229204, 517 ^ [_229200, _229202, _229204], 518 ^ [_229200, _229202, _229204]) = a_select3(_229204, 518 ^ [_229200, _229202, _229204], 517 ^ [_229200, _229202, _229204])]], 531 ^ _210490 : [(532 ^ _210490) ^ [] : [-(leq(n0, 529 ^ [_229200, _229202, _229204]))], (534 ^ _210490) ^ [] : [-(leq(529 ^ [_229200, _229202, _229204], _229200))], (536 ^ _210490) ^ [] : [-(leq(n0, 530 ^ [_229200, _229202, _229204]))], (538 ^ _210490) ^ [] : [-(leq(530 ^ [_229200, _229202, _229204], _229200))], (540 ^ _210490) ^ [] : [a_select3(_229202, 529 ^ [_229200, _229202, _229204], 530 ^ [_229200, _229202, _229204]) = a_select3(_229202, 530 ^ [_229200, _229202, _229204], 529 ^ [_229200, _229202, _229204])]], 541 ^ _210490 : [(542 ^ _210490) ^ [_230709, _230711] : [-(a_select3(tptp_madd(_229204, _229202), _230711, _230709) = a_select3(tptp_madd(_229204, _229202), _230709, _230711)), leq(n0, _230711), leq(_230711, _229200), leq(n0, _230709), leq(_230709, _229200)]]], (560 ^ _210490) ^ [_231295, _231297, _231299] : [565 ^ _210490 : [(566 ^ _210490) ^ [] : [-(leq(n0, 563 ^ [_231295, _231297, _231299]))], (568 ^ _210490) ^ [] : [-(leq(563 ^ [_231295, _231297, _231299], _231295))], (570 ^ _210490) ^ [] : [-(leq(n0, 564 ^ [_231295, _231297, _231299]))], (572 ^ _210490) ^ [] : [-(leq(564 ^ [_231295, _231297, _231299], _231295))], (574 ^ _210490) ^ [] : [a_select3(_231299, 563 ^ [_231295, _231297, _231299], 564 ^ [_231295, _231297, _231299]) = a_select3(_231299, 564 ^ [_231295, _231297, _231299], 563 ^ [_231295, _231297, _231299])]], 577 ^ _210490 : [(578 ^ _210490) ^ [] : [-(leq(n0, 575 ^ [_231295, _231297, _231299]))], (580 ^ _210490) ^ [] : [-(leq(575 ^ [_231295, _231297, _231299], _231295))], (582 ^ _210490) ^ [] : [-(leq(n0, 576 ^ [_231295, _231297, _231299]))], (584 ^ _210490) ^ [] : [-(leq(576 ^ [_231295, _231297, _231299], _231295))], (586 ^ _210490) ^ [] : [a_select3(_231297, 575 ^ [_231295, _231297, _231299], 576 ^ [_231295, _231297, _231299]) = a_select3(_231297, 576 ^ [_231295, _231297, _231299], 575 ^ [_231295, _231297, _231299])]], 587 ^ _210490 : [(588 ^ _210490) ^ [_232804, _232806] : [-(a_select3(tptp_msub(_231299, _231297), _232806, _232804) = a_select3(tptp_msub(_231299, _231297), _232804, _232806)), leq(n0, _232806), leq(_232806, _231295), leq(n0, _232804), leq(_232804, _231295)]]], (606 ^ _210490) ^ [_233390, _233392, _233394] : [609 ^ _210490 : [(610 ^ _210490) ^ [] : [-(leq(n0, 607 ^ [_233390, _233392, _233394]))], (612 ^ _210490) ^ [] : [-(leq(607 ^ [_233390, _233392, _233394], _233390))], (614 ^ _210490) ^ [] : [-(leq(n0, 608 ^ [_233390, _233392, _233394]))], (616 ^ _210490) ^ [] : [-(leq(608 ^ [_233390, _233392, _233394], _233390))], (618 ^ _210490) ^ [] : [a_select3(_233392, 607 ^ [_233390, _233392, _233394], 608 ^ [_233390, _233392, _233394]) = a_select3(_233392, 608 ^ [_233390, _233392, _233394], 607 ^ [_233390, _233392, _233394])]], 619 ^ _210490 : [(620 ^ _210490) ^ [_234203, _234205] : [-(a_select3(tptp_mmul(_233394, tptp_mmul(_233392, trans(_233394))), _234205, _234203) = a_select3(tptp_mmul(_233394, tptp_mmul(_233392, trans(_233394))), _234203, _234205)), leq(n0, _234205), leq(_234205, _233390), leq(n0, _234203), leq(_234203, _233390)]]], (638 ^ _210490) ^ [_234822, _234824, _234826, _234828] : [641 ^ _210490 : [(642 ^ _210490) ^ [] : [-(leq(n0, 639 ^ [_234822, _234824, _234826, _234828]))], (644 ^ _210490) ^ [] : [-(leq(639 ^ [_234822, _234824, _234826, _234828], _234822))], (646 ^ _210490) ^ [] : [-(leq(n0, 640 ^ [_234822, _234824, _234826, _234828]))], (648 ^ _210490) ^ [] : [-(leq(640 ^ [_234822, _234824, _234826, _234828], _234822))], (650 ^ _210490) ^ [] : [a_select3(_234826, 639 ^ [_234822, _234824, _234826, _234828], 640 ^ [_234822, _234824, _234826, _234828]) = a_select3(_234826, 640 ^ [_234822, _234824, _234826, _234828], 639 ^ [_234822, _234824, _234826, _234828])]], 651 ^ _210490 : [(652 ^ _210490) ^ [_235679, _235681] : [-(a_select3(tptp_mmul(_234828, tptp_mmul(_234826, trans(_234828))), _235681, _235679) = a_select3(tptp_mmul(_234828, tptp_mmul(_234826, trans(_234828))), _235679, _235681)), leq(n0, _235681), leq(_235681, _234824), leq(n0, _235679), leq(_235679, _234824)]]], (670 ^ _210490) ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388] : [675 ^ _210490 : [(676 ^ _210490) ^ [] : [-(leq(n0, 673 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]))], (678 ^ _210490) ^ [] : [-(leq(673 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], _236374))], (680 ^ _210490) ^ [] : [-(leq(n0, 674 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]))], (682 ^ _210490) ^ [] : [-(leq(674 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], _236374))], (684 ^ _210490) ^ [] : [a_select3(_236382, 673 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], 674 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]) = a_select3(_236382, 674 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], 673 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388])]], 689 ^ _210490 : [(690 ^ _210490) ^ [] : [-(leq(n0, 687 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]))], (692 ^ _210490) ^ [] : [-(leq(687 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], _236376))], (694 ^ _210490) ^ [] : [-(leq(n0, 688 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]))], (696 ^ _210490) ^ [] : [-(leq(688 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], _236376))], (698 ^ _210490) ^ [] : [a_select3(_236388, 687 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], 688 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]) = a_select3(_236388, 688 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], 687 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388])]], 701 ^ _210490 : [(702 ^ _210490) ^ [] : [-(leq(n0, 699 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]))], (704 ^ _210490) ^ [] : [-(leq(699 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], _236376))], (706 ^ _210490) ^ [] : [-(leq(n0, 700 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]))], (708 ^ _210490) ^ [] : [-(leq(700 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], _236376))], (710 ^ _210490) ^ [] : [a_select3(_236378, 699 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], 700 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388]) = a_select3(_236378, 700 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388], 699 ^ [_236374, _236376, _236378, _236380, _236382, _236384, _236386, _236388])]], 711 ^ _210490 : [(712 ^ _210490) ^ [_239302, _239304] : [-(a_select3(tptp_madd(_236388, tptp_mmul(_236386, tptp_mmul(tptp_madd(tptp_mmul(_236384, tptp_mmul(_236382, trans(_236384))), tptp_mmul(_236380, tptp_mmul(_236378, trans(_236380)))), trans(_236386)))), _239304, _239302) = a_select3(tptp_madd(_236388, tptp_mmul(_236386, tptp_mmul(tptp_madd(tptp_mmul(_236384, tptp_mmul(_236382, trans(_236384))), tptp_mmul(_236380, tptp_mmul(_236378, trans(_236380)))), trans(_236386)))), _239302, _239304)), leq(n0, _239304), leq(_239304, _236376), leq(n0, _239302), leq(_239302, _236376)]]], (730 ^ _210490) ^ [_240055] : [-(sum(n0, tptp_minus_1, _240055) = n0)], (732 ^ _210490) ^ [_240137] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _240137))], (734 ^ _210490) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _210490) ^ [_240272] : [-(plus(_240272, n1) = succ(_240272))], (738 ^ _210490) ^ [_240355] : [-(plus(n1, _240355) = succ(_240355))], (740 ^ _210490) ^ [_240438] : [-(plus(_240438, n2) = succ(succ(_240438)))], (742 ^ _210490) ^ [_240523] : [-(plus(n2, _240523) = succ(succ(_240523)))], (744 ^ _210490) ^ [_240608] : [-(plus(_240608, n3) = succ(succ(succ(_240608))))], (746 ^ _210490) ^ [_240695] : [-(plus(n3, _240695) = succ(succ(succ(_240695))))], (748 ^ _210490) ^ [_240782] : [-(plus(_240782, n4) = succ(succ(succ(succ(_240782)))))], (750 ^ _210490) ^ [_240871] : [-(plus(n4, _240871) = succ(succ(succ(succ(_240871)))))], (752 ^ _210490) ^ [_240960] : [-(plus(_240960, n5) = succ(succ(succ(succ(succ(_240960))))))], (754 ^ _210490) ^ [_241051] : [-(plus(n5, _241051) = succ(succ(succ(succ(succ(_241051))))))], (756 ^ _210490) ^ [_241142] : [-(minus(_241142, n1) = pred(_241142))], (758 ^ _210490) ^ [_241225] : [-(pred(succ(_241225)) = _241225)], (760 ^ _210490) ^ [_241307] : [-(succ(pred(_241307)) = _241307)], (762 ^ _210490) ^ [_241447, _241449] : [leq(succ(_241449), succ(_241447)), -(leq(_241449, _241447))], (768 ^ _210490) ^ [_241617, _241619] : [leq(_241619, _241617), -(leq(succ(_241619), succ(_241617)))], (774 ^ _210490) ^ [_241837, _241839] : [leq(succ(_241839), _241837), -(gt(_241837, _241839))], (780 ^ _210490) ^ [_242051, _242053] : [leq(minus(_242053, _242051), _242053), -(leq(n0, _242051))], (786 ^ _210490) ^ [_242280, _242282, _242284, _242286] : [-(a_select3(tptp_update3(_242286, _242284, _242282, _242280), _242284, _242282) = _242280)], (788 ^ _210490) ^ [_242472, _242474, _242476, _242478, _242480, _242482, _242484] : [-(a_select3(tptp_update3(_242476, _242484, _242482, _242472), _242480, _242478) = _242474), -(_242484 = _242480), _242482 = _242478, a_select3(_242476, _242480, _242478) = _242474], (802 ^ _210490) ^ [_243015, _243017, _243019, _243021, _243023, _243025] : [-(a_select3(tptp_update3(_243017, _243021, _243019, _243015), _243025, _243023) = _243015), 807 ^ _210490 : [(808 ^ _210490) ^ [] : [-(leq(n0, 805 ^ [_243015, _243017, _243019, _243021, _243023, _243025]))], (810 ^ _210490) ^ [] : [-(leq(n0, 806 ^ [_243015, _243017, _243019, _243021, _243023, _243025]))], (812 ^ _210490) ^ [] : [-(leq(805 ^ [_243015, _243017, _243019, _243021, _243023, _243025], _243021))], (814 ^ _210490) ^ [] : [-(leq(806 ^ [_243015, _243017, _243019, _243021, _243023, _243025], _243019))], (816 ^ _210490) ^ [] : [a_select3(_243017, 805 ^ [_243015, _243017, _243019, _243021, _243023, _243025], 806 ^ [_243015, _243017, _243019, _243021, _243023, _243025]) = _243015]], leq(n0, _243025), leq(_243025, _243021), leq(n0, _243023), leq(_243023, _243019)], (834 ^ _210490) ^ [_244357, _244359, _244361] : [-(a_select2(tptp_update2(_244361, _244359, _244357), _244359) = _244357)], (836 ^ _210490) ^ [_244517, _244519, _244521, _244523, _244525] : [-(a_select2(tptp_update2(_244521, _244525, _244517), _244523) = _244519), -(_244525 = _244523), a_select2(_244521, _244523) = _244519], (865 ^ _210490) ^ [] : [-(true)], (867 ^ _210490) ^ [] : [def = use], (846 ^ _210490) ^ [_244897, _244899, _244901, _244903] : [-(a_select2(tptp_update2(_244899, _244901, _244897), _244903) = _244897), 850 ^ _210490 : [(851 ^ _210490) ^ [] : [-(leq(n0, 849 ^ [_244897, _244899, _244901, _244903]))], (853 ^ _210490) ^ [] : [-(leq(849 ^ [_244897, _244899, _244901, _244903], _244901))], (855 ^ _210490) ^ [] : [a_select2(_244899, 849 ^ [_244897, _244899, _244901, _244903]) = _244897]], leq(n0, _244903), leq(_244903, _244901)]], input).
% 0.26/1.36  ncf('1',plain,[a_select2(muold_init, 1164 ^ []) = init],start(1170 ^ 0)).
% 0.26/1.36  ncf('1.1',plain,[-(a_select2(muold_init, 1164 ^ []) = init), 1127 : leq(n0, 1164 ^ []), 1127 : leq(1164 ^ [], n4), 1127 : gt(loopcounter, n1)],extension(1123 ^ 1,bind([[_252789], [1164 ^ []]]))).
% 0.26/1.36  ncf('1.1.1',plain,[-(leq(n0, 1164 ^ []))],extension(1166 ^ 4)).
% 0.26/1.36  ncf('1.1.2',plain,[-(leq(1164 ^ [], n4))],extension(1168 ^ 4)).
% 0.26/1.36  ncf('1.1.3',plain,[-(gt(loopcounter, n1))],extension(1063 ^ 2)).
% 0.26/1.36  %-----------------------------------------------------
% 0.26/1.36  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------