%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV184+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:20:08 EDT 2023

% Result   : Theorem 0.35s 1.37s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SWV184+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:32:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.35/1.37  
% 0.35/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  ncf(matrix, plain, [(1138 ^ _206732) ^ [] : [-(leq(n0, 1136 ^ []))], (1140 ^ _206732) ^ [] : [-(leq(1136 ^ [], n4))], (1142 ^ _206732) ^ [] : [a_select2(sigmaold_init, 1136 ^ []) = init], (1055 ^ _206732) ^ [] : [-(gt(loopcounter, n1))], (1057 ^ _206732) ^ [_247101] : [leq(n0, _247101), leq(_247101, n135299), 1064 ^ _206732 : [(1065 ^ _206732) ^ [_247329] : [-(a_select3(q_init, _247101, _247329) = init), leq(n0, _247329), leq(_247329, n4)]]], (1075 ^ _206732) ^ [_247631] : [-(a_select2(rho_init, _247631) = init), leq(n0, _247631), leq(_247631, n4)], (1085 ^ _206732) ^ [_247912] : [-(a_select3(center_init, _247912, n0) = init), leq(n0, _247912), leq(_247912, n4)], (1095 ^ _206732) ^ [] : [gt(loopcounter, n1), 1098 ^ _206732 : [(1099 ^ _206732) ^ [_248257] : [-(a_select2(muold_init, _248257) = init), leq(n0, _248257), leq(_248257, n4)]]], (1109 ^ _206732) ^ [] : [gt(loopcounter, n1), 1112 ^ _206732 : [(1113 ^ _206732) ^ [_248605] : [-(a_select2(rhoold_init, _248605) = init), leq(n0, _248605), leq(_248605, n4)]]], (1123 ^ _206732) ^ [] : [gt(loopcounter, n1), 1126 ^ _206732 : [(1127 ^ _206732) ^ [_248933] : [-(a_select2(sigmaold_init, _248933) = init), leq(n0, _248933), leq(_248933, n4)]]], (2 ^ _206732) ^ [_206876] : [-(_206876 = _206876)], (4 ^ _206732) ^ [_206983, _206985] : [_206985 = _206983, -(_206983 = _206985)], (10 ^ _206732) ^ [_207187, _207189, _207191] : [-(_207191 = _207187), _207191 = _207189, _207189 = _207187], (20 ^ _206732) ^ [_207528, _207530, _207532, _207534] : [-(lt(_207532, _207528)), lt(_207534, _207530), _207534 = _207532, _207530 = _207528], (34 ^ _206732) ^ [_207972, _207974, _207976, _207978] : [-(geq(_207976, _207972)), geq(_207978, _207974), _207978 = _207976, _207974 = _207972], (48 ^ _206732) ^ [_208416, _208418, _208420, _208422] : [-(gt(_208420, _208416)), gt(_208422, _208418), _208422 = _208420, _208418 = _208416], (62 ^ _206732) ^ [_208840, _208842, _208844, _208846] : [-(leq(_208844, _208840)), leq(_208846, _208842), _208846 = _208844, _208842 = _208840], (76 ^ _206732) ^ [_209296, _209298, _209300, _209302] : [-(uniform_int_rnd(_209302, _209298) = uniform_int_rnd(_209300, _209296)), _209302 = _209300, _209298 = _209296], (86 ^ _206732) ^ [_209655, _209657, _209659, _209661] : [-(tptp_const_array1(_209661, _209657) = tptp_const_array1(_209659, _209655)), _209661 = _209659, _209657 = _209655], (96 ^ _206732) ^ [_210042, _210044, _210046, _210048, _210050, _210052] : [-(tptp_const_array2(_210052, _210048, _210044) = tptp_const_array2(_210050, _210046, _210042)), _210052 = _210050, _210048 = _210046, _210044 = _210042], (110 ^ _206732) ^ [_210530, _210532, _210534, _210536] : [-(dim(_210536, _210532) = dim(_210534, _210530)), _210536 = _210534, _210532 = _210530], (120 ^ _206732) ^ [_210861, _210863] : [_210863 = _210861, -(inv(_210863) = inv(_210861))], (126 ^ _206732) ^ [_211107, _211109, _211111, _211113] : [-(tptp_msub(_211113, _211109) = tptp_msub(_211111, _211107)), _211113 = _211111, _211109 = _211107], (136 ^ _206732) ^ [_211466, _211468, _211470, _211472] : [-(tptp_madd(_211472, _211468) = tptp_madd(_211470, _211466)), _211472 = _211470, _211468 = _211466], (146 ^ _206732) ^ [_211825, _211827, _211829, _211831] : [-(tptp_mmul(_211831, _211827) = tptp_mmul(_211829, _211825)), _211831 = _211829, _211827 = _211825], (156 ^ _206732) ^ [_212156, _212158] : [_212158 = _212156, -(trans(_212158) = trans(_212156))], (162 ^ _206732) ^ [_212430, _212432, _212434, _212436, _212438, _212440] : [-(sum(_212440, _212436, _212432) = sum(_212438, _212434, _212430)), _212440 = _212438, _212436 = _212434, _212432 = _212430], (176 ^ _206732) ^ [_212918, _212920, _212922, _212924] : [-(plus(_212924, _212920) = plus(_212922, _212918)), _212924 = _212922, _212920 = _212918], (186 ^ _206732) ^ [_213249, _213251] : [_213251 = _213249, -(pred(_213251) = pred(_213249))], (192 ^ _206732) ^ [_213495, _213497, _213499, _213501] : [-(minus(_213501, _213497) = minus(_213499, _213495)), _213501 = _213499, _213497 = _213495], (202 ^ _206732) ^ [_213910, _213912, _213914, _213916, _213918, _213920, _213922, _213924] : [-(tptp_update3(_213924, _213920, _213916, _213912) = tptp_update3(_213922, _213918, _213914, _213910)), _213924 = _213922, _213920 = _213918, _213916 = _213914, _213912 = _213910], (220 ^ _206732) ^ [_214571, _214573, _214575, _214577, _214579, _214581] : [-(tptp_update2(_214581, _214577, _214573) = tptp_update2(_214579, _214575, _214571)), _214581 = _214579, _214577 = _214575, _214573 = _214571], (234 ^ _206732) ^ [_215031, _215033] : [_215033 = _215031, -(succ(_215033) = succ(_215031))], (254 ^ _206732) ^ [_215773, _215775, _215777, _215779] : [-(a_select2(_215779, _215775) = a_select2(_215777, _215773)), _215779 = _215777, _215775 = _215773], (240 ^ _206732) ^ [_215305, _215307, _215309, _215311, _215313, _215315] : [-(a_select3(_215315, _215311, _215307) = a_select3(_215313, _215309, _215305)), _215315 = _215313, _215311 = _215309, _215307 = _215305], (869 ^ _206732) ^ [] : [-(gt(n5, n4))], (871 ^ _206732) ^ [] : [-(gt(n135299, n4))], (873 ^ _206732) ^ [] : [-(gt(n135299, n5))], (875 ^ _206732) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _206732) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _206732) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _206732) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _206732) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _206732) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _206732) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _206732) ^ [] : [-(gt(n4, n0))], (891 ^ _206732) ^ [] : [-(gt(n5, n0))], (893 ^ _206732) ^ [] : [-(gt(n135299, n0))], (895 ^ _206732) ^ [] : [-(gt(n1, n0))], (897 ^ _206732) ^ [] : [-(gt(n2, n0))], (899 ^ _206732) ^ [] : [-(gt(n3, n0))], (901 ^ _206732) ^ [] : [-(gt(n4, n1))], (903 ^ _206732) ^ [] : [-(gt(n5, n1))], (905 ^ _206732) ^ [] : [-(gt(n135299, n1))], (907 ^ _206732) ^ [] : [-(gt(n2, n1))], (909 ^ _206732) ^ [] : [-(gt(n3, n1))], (911 ^ _206732) ^ [] : [-(gt(n4, n2))], (913 ^ _206732) ^ [] : [-(gt(n5, n2))], (915 ^ _206732) ^ [] : [-(gt(n135299, n2))], (917 ^ _206732) ^ [] : [-(gt(n3, n2))], (919 ^ _206732) ^ [] : [-(gt(n4, n3))], (921 ^ _206732) ^ [] : [-(gt(n5, n3))], (923 ^ _206732) ^ [] : [-(gt(n135299, n3))], (925 ^ _206732) ^ [_243613] : [leq(n0, _243613), leq(_243613, n4), -(_243613 = n0), -(_243613 = n1), -(_243613 = n2), -(_243613 = n3), -(_243613 = n4)], (951 ^ _206732) ^ [_244234] : [leq(n0, _244234), leq(_244234, n5), -(_244234 = n0), -(_244234 = n1), -(_244234 = n2), -(_244234 = n3), -(_244234 = n4), -(_244234 = n5)], (981 ^ _206732) ^ [_244941] : [-(_244941 = n0), leq(n0, _244941), leq(_244941, n0)], (991 ^ _206732) ^ [_245216] : [leq(n0, _245216), leq(_245216, n1), -(_245216 = n0), -(_245216 = n1)], (1005 ^ _206732) ^ [_245579] : [leq(n0, _245579), leq(_245579, n2), -(_245579 = n0), -(_245579 = n1), -(_245579 = n2)], (1045 ^ _206732) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _206732) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _206732) ^ [] : [-(succ(n0) = n1)], (1051 ^ _206732) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _206732) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _206732) ^ [_246028] : [leq(n0, _246028), leq(_246028, n3), -(_246028 = n0), -(_246028 = n1), -(_246028 = n2), -(_246028 = n3)], (264 ^ _206732) ^ [_216204, _216206] : [-(gt(_216206, _216204)), -(gt(_216204, _216206)), -(_216206 = _216204)], (274 ^ _206732) ^ [_216519, _216521, _216523] : [-(gt(_216523, _216519)), gt(_216523, _216521), gt(_216521, _216519)], (284 ^ _206732) ^ [_216798] : [gt(_216798, _216798)], (286 ^ _206732) ^ [_216876] : [-(leq(_216876, _216876))], (288 ^ _206732) ^ [_216997, _216999, _217001] : [-(leq(_217001, _216997)), leq(_217001, _216999), leq(_216999, _216997)], (298 ^ _206732) ^ [_217335, _217337] : [lt(_217337, _217335), -(gt(_217335, _217337))], (304 ^ _206732) ^ [_217497, _217499] : [gt(_217497, _217499), -(lt(_217499, _217497))], (310 ^ _206732) ^ [_217738, _217740] : [geq(_217740, _217738), -(leq(_217738, _217740))], (316 ^ _206732) ^ [_217900, _217902] : [leq(_217900, _217902), -(geq(_217902, _217900))], (322 ^ _206732) ^ [_218112, _218114] : [gt(_218112, _218114), -(leq(_218114, _218112))], (328 ^ _206732) ^ [_218322, _218324] : [-(gt(_218322, _218324)), leq(_218324, _218322), -(_218324 = _218322)], (338 ^ _206732) ^ [_218653, _218655] : [leq(_218655, pred(_218653)), -(gt(_218653, _218655))], (344 ^ _206732) ^ [_218819, _218821] : [gt(_218819, _218821), -(leq(_218821, pred(_218819)))], (350 ^ _206732) ^ [_219006] : [-(gt(succ(_219006), _219006))], (352 ^ _206732) ^ [_219115, _219117] : [leq(_219117, _219115), -(leq(_219117, succ(_219115)))], (358 ^ _206732) ^ [_219358, _219360] : [leq(_219360, _219358), -(gt(succ(_219358), _219360))], (364 ^ _206732) ^ [_219524, _219526] : [gt(succ(_219524), _219526), -(leq(_219526, _219524))], (370 ^ _206732) ^ [_219740, _219742] : [leq(n0, _219742), -(leq(uniform_int_rnd(_219740, _219742), _219742))], (376 ^ _206732) ^ [_219956, _219958] : [leq(n0, _219958), -(leq(n0, uniform_int_rnd(_219956, _219958)))], (382 ^ _206732) ^ [_220200, _220202, _220204, _220206] : [-(a_select2(tptp_const_array1(dim(_220204, _220202), _220200), _220206) = _220200), leq(_220204, _220206), leq(_220206, _220202)], (392 ^ _206732) ^ [_220607, _220609, _220611, _220613, _220615, _220617, _220619] : [-(a_select3(tptp_const_array2(dim(_220617, _220615), dim(_220611, _220609), _220607), _220619, _220613) = _220607), leq(_220617, _220619), leq(_220619, _220615), leq(_220611, _220613), leq(_220613, _220609)], (410 ^ _206732) ^ [_221202, _221204] : [413 ^ _206732 : [(414 ^ _206732) ^ [] : [-(leq(n0, 411 ^ [_221202, _221204]))], (416 ^ _206732) ^ [] : [-(leq(411 ^ [_221202, _221204], _221202))], (418 ^ _206732) ^ [] : [-(leq(n0, 412 ^ [_221202, _221204]))], (420 ^ _206732) ^ [] : [-(leq(412 ^ [_221202, _221204], _221202))], (422 ^ _206732) ^ [] : [a_select3(_221204, 411 ^ [_221202, _221204], 412 ^ [_221202, _221204]) = a_select3(_221204, 412 ^ [_221202, _221204], 411 ^ [_221202, _221204])]], 423 ^ _206732 : [(424 ^ _206732) ^ [_221959, _221961] : [-(a_select3(trans(_221204), _221961, _221959) = a_select3(trans(_221204), _221959, _221961)), leq(n0, _221961), leq(_221961, _221202), leq(n0, _221959), leq(_221959, _221202)]]], (442 ^ _206732) ^ [_222506, _222508] : [445 ^ _206732 : [(446 ^ _206732) ^ [] : [-(leq(n0, 443 ^ [_222506, _222508]))], (448 ^ _206732) ^ [] : [-(leq(443 ^ [_222506, _222508], _222506))], (450 ^ _206732) ^ [] : [-(leq(n0, 444 ^ [_222506, _222508]))], (452 ^ _206732) ^ [] : [-(leq(444 ^ [_222506, _222508], _222506))], (454 ^ _206732) ^ [] : [a_select3(_222508, 443 ^ [_222506, _222508], 444 ^ [_222506, _222508]) = a_select3(_222508, 444 ^ [_222506, _222508], 443 ^ [_222506, _222508])]], 455 ^ _206732 : [(456 ^ _206732) ^ [_223263, _223265] : [-(a_select3(inv(_222508), _223265, _223263) = a_select3(inv(_222508), _223263, _223265)), leq(n0, _223265), leq(_223265, _222506), leq(n0, _223263), leq(_223263, _222506)]]], (474 ^ _206732) ^ [_223810, _223812] : [477 ^ _206732 : [(478 ^ _206732) ^ [] : [-(leq(n0, 475 ^ [_223810, _223812]))], (480 ^ _206732) ^ [] : [-(leq(475 ^ [_223810, _223812], _223810))], (482 ^ _206732) ^ [] : [-(leq(n0, 476 ^ [_223810, _223812]))], (484 ^ _206732) ^ [] : [-(leq(476 ^ [_223810, _223812], _223810))], (486 ^ _206732) ^ [] : [a_select3(_223812, 475 ^ [_223810, _223812], 476 ^ [_223810, _223812]) = a_select3(_223812, 476 ^ [_223810, _223812], 475 ^ [_223810, _223812])]], 487 ^ _206732 : [(488 ^ _206732) ^ [_224623, _224625, _224627, _224629] : [-(a_select3(tptp_update3(_223812, _224625, _224625, _224623), _224629, _224627) = a_select3(tptp_update3(_223812, _224625, _224625, _224623), _224627, _224629)), leq(n0, _224629), leq(_224629, _223810), leq(n0, _224627), leq(_224627, _223810), leq(n0, _224625), leq(_224625, _223810)]]], (514 ^ _206732) ^ [_225442, _225444, _225446] : [519 ^ _206732 : [(520 ^ _206732) ^ [] : [-(leq(n0, 517 ^ [_225442, _225444, _225446]))], (522 ^ _206732) ^ [] : [-(leq(517 ^ [_225442, _225444, _225446], _225442))], (524 ^ _206732) ^ [] : [-(leq(n0, 518 ^ [_225442, _225444, _225446]))], (526 ^ _206732) ^ [] : [-(leq(518 ^ [_225442, _225444, _225446], _225442))], (528 ^ _206732) ^ [] : [a_select3(_225446, 517 ^ [_225442, _225444, _225446], 518 ^ [_225442, _225444, _225446]) = a_select3(_225446, 518 ^ [_225442, _225444, _225446], 517 ^ [_225442, _225444, _225446])]], 531 ^ _206732 : [(532 ^ _206732) ^ [] : [-(leq(n0, 529 ^ [_225442, _225444, _225446]))], (534 ^ _206732) ^ [] : [-(leq(529 ^ [_225442, _225444, _225446], _225442))], (536 ^ _206732) ^ [] : [-(leq(n0, 530 ^ [_225442, _225444, _225446]))], (538 ^ _206732) ^ [] : [-(leq(530 ^ [_225442, _225444, _225446], _225442))], (540 ^ _206732) ^ [] : [a_select3(_225444, 529 ^ [_225442, _225444, _225446], 530 ^ [_225442, _225444, _225446]) = a_select3(_225444, 530 ^ [_225442, _225444, _225446], 529 ^ [_225442, _225444, _225446])]], 541 ^ _206732 : [(542 ^ _206732) ^ [_226951, _226953] : [-(a_select3(tptp_madd(_225446, _225444), _226953, _226951) = a_select3(tptp_madd(_225446, _225444), _226951, _226953)), leq(n0, _226953), leq(_226953, _225442), leq(n0, _226951), leq(_226951, _225442)]]], (560 ^ _206732) ^ [_227537, _227539, _227541] : [565 ^ _206732 : [(566 ^ _206732) ^ [] : [-(leq(n0, 563 ^ [_227537, _227539, _227541]))], (568 ^ _206732) ^ [] : [-(leq(563 ^ [_227537, _227539, _227541], _227537))], (570 ^ _206732) ^ [] : [-(leq(n0, 564 ^ [_227537, _227539, _227541]))], (572 ^ _206732) ^ [] : [-(leq(564 ^ [_227537, _227539, _227541], _227537))], (574 ^ _206732) ^ [] : [a_select3(_227541, 563 ^ [_227537, _227539, _227541], 564 ^ [_227537, _227539, _227541]) = a_select3(_227541, 564 ^ [_227537, _227539, _227541], 563 ^ [_227537, _227539, _227541])]], 577 ^ _206732 : [(578 ^ _206732) ^ [] : [-(leq(n0, 575 ^ [_227537, _227539, _227541]))], (580 ^ _206732) ^ [] : [-(leq(575 ^ [_227537, _227539, _227541], _227537))], (582 ^ _206732) ^ [] : [-(leq(n0, 576 ^ [_227537, _227539, _227541]))], (584 ^ _206732) ^ [] : [-(leq(576 ^ [_227537, _227539, _227541], _227537))], (586 ^ _206732) ^ [] : [a_select3(_227539, 575 ^ [_227537, _227539, _227541], 576 ^ [_227537, _227539, _227541]) = a_select3(_227539, 576 ^ [_227537, _227539, _227541], 575 ^ [_227537, _227539, _227541])]], 587 ^ _206732 : [(588 ^ _206732) ^ [_229046, _229048] : [-(a_select3(tptp_msub(_227541, _227539), _229048, _229046) = a_select3(tptp_msub(_227541, _227539), _229046, _229048)), leq(n0, _229048), leq(_229048, _227537), leq(n0, _229046), leq(_229046, _227537)]]], (606 ^ _206732) ^ [_229632, _229634, _229636] : [609 ^ _206732 : [(610 ^ _206732) ^ [] : [-(leq(n0, 607 ^ [_229632, _229634, _229636]))], (612 ^ _206732) ^ [] : [-(leq(607 ^ [_229632, _229634, _229636], _229632))], (614 ^ _206732) ^ [] : [-(leq(n0, 608 ^ [_229632, _229634, _229636]))], (616 ^ _206732) ^ [] : [-(leq(608 ^ [_229632, _229634, _229636], _229632))], (618 ^ _206732) ^ [] : [a_select3(_229634, 607 ^ [_229632, _229634, _229636], 608 ^ [_229632, _229634, _229636]) = a_select3(_229634, 608 ^ [_229632, _229634, _229636], 607 ^ [_229632, _229634, _229636])]], 619 ^ _206732 : [(620 ^ _206732) ^ [_230445, _230447] : [-(a_select3(tptp_mmul(_229636, tptp_mmul(_229634, trans(_229636))), _230447, _230445) = a_select3(tptp_mmul(_229636, tptp_mmul(_229634, trans(_229636))), _230445, _230447)), leq(n0, _230447), leq(_230447, _229632), leq(n0, _230445), leq(_230445, _229632)]]], (638 ^ _206732) ^ [_231064, _231066, _231068, _231070] : [641 ^ _206732 : [(642 ^ _206732) ^ [] : [-(leq(n0, 639 ^ [_231064, _231066, _231068, _231070]))], (644 ^ _206732) ^ [] : [-(leq(639 ^ [_231064, _231066, _231068, _231070], _231064))], (646 ^ _206732) ^ [] : [-(leq(n0, 640 ^ [_231064, _231066, _231068, _231070]))], (648 ^ _206732) ^ [] : [-(leq(640 ^ [_231064, _231066, _231068, _231070], _231064))], (650 ^ _206732) ^ [] : [a_select3(_231068, 639 ^ [_231064, _231066, _231068, _231070], 640 ^ [_231064, _231066, _231068, _231070]) = a_select3(_231068, 640 ^ [_231064, _231066, _231068, _231070], 639 ^ [_231064, _231066, _231068, _231070])]], 651 ^ _206732 : [(652 ^ _206732) ^ [_231921, _231923] : [-(a_select3(tptp_mmul(_231070, tptp_mmul(_231068, trans(_231070))), _231923, _231921) = a_select3(tptp_mmul(_231070, tptp_mmul(_231068, trans(_231070))), _231921, _231923)), leq(n0, _231923), leq(_231923, _231066), leq(n0, _231921), leq(_231921, _231066)]]], (670 ^ _206732) ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630] : [675 ^ _206732 : [(676 ^ _206732) ^ [] : [-(leq(n0, 673 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]))], (678 ^ _206732) ^ [] : [-(leq(673 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], _232616))], (680 ^ _206732) ^ [] : [-(leq(n0, 674 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]))], (682 ^ _206732) ^ [] : [-(leq(674 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], _232616))], (684 ^ _206732) ^ [] : [a_select3(_232624, 673 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], 674 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]) = a_select3(_232624, 674 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], 673 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630])]], 689 ^ _206732 : [(690 ^ _206732) ^ [] : [-(leq(n0, 687 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]))], (692 ^ _206732) ^ [] : [-(leq(687 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], _232618))], (694 ^ _206732) ^ [] : [-(leq(n0, 688 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]))], (696 ^ _206732) ^ [] : [-(leq(688 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], _232618))], (698 ^ _206732) ^ [] : [a_select3(_232630, 687 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], 688 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]) = a_select3(_232630, 688 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], 687 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630])]], 701 ^ _206732 : [(702 ^ _206732) ^ [] : [-(leq(n0, 699 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]))], (704 ^ _206732) ^ [] : [-(leq(699 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], _232618))], (706 ^ _206732) ^ [] : [-(leq(n0, 700 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]))], (708 ^ _206732) ^ [] : [-(leq(700 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], _232618))], (710 ^ _206732) ^ [] : [a_select3(_232620, 699 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], 700 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630]) = a_select3(_232620, 700 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630], 699 ^ [_232616, _232618, _232620, _232622, _232624, _232626, _232628, _232630])]], 711 ^ _206732 : [(712 ^ _206732) ^ [_235544, _235546] : [-(a_select3(tptp_madd(_232630, tptp_mmul(_232628, tptp_mmul(tptp_madd(tptp_mmul(_232626, tptp_mmul(_232624, trans(_232626))), tptp_mmul(_232622, tptp_mmul(_232620, trans(_232622)))), trans(_232628)))), _235546, _235544) = a_select3(tptp_madd(_232630, tptp_mmul(_232628, tptp_mmul(tptp_madd(tptp_mmul(_232626, tptp_mmul(_232624, trans(_232626))), tptp_mmul(_232622, tptp_mmul(_232620, trans(_232622)))), trans(_232628)))), _235544, _235546)), leq(n0, _235546), leq(_235546, _232618), leq(n0, _235544), leq(_235544, _232618)]]], (730 ^ _206732) ^ [_236297] : [-(sum(n0, tptp_minus_1, _236297) = n0)], (732 ^ _206732) ^ [_236379] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _236379))], (734 ^ _206732) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _206732) ^ [_236514] : [-(plus(_236514, n1) = succ(_236514))], (738 ^ _206732) ^ [_236597] : [-(plus(n1, _236597) = succ(_236597))], (740 ^ _206732) ^ [_236680] : [-(plus(_236680, n2) = succ(succ(_236680)))], (742 ^ _206732) ^ [_236765] : [-(plus(n2, _236765) = succ(succ(_236765)))], (744 ^ _206732) ^ [_236850] : [-(plus(_236850, n3) = succ(succ(succ(_236850))))], (746 ^ _206732) ^ [_236937] : [-(plus(n3, _236937) = succ(succ(succ(_236937))))], (748 ^ _206732) ^ [_237024] : [-(plus(_237024, n4) = succ(succ(succ(succ(_237024)))))], (750 ^ _206732) ^ [_237113] : [-(plus(n4, _237113) = succ(succ(succ(succ(_237113)))))], (752 ^ _206732) ^ [_237202] : [-(plus(_237202, n5) = succ(succ(succ(succ(succ(_237202))))))], (754 ^ _206732) ^ [_237293] : [-(plus(n5, _237293) = succ(succ(succ(succ(succ(_237293))))))], (756 ^ _206732) ^ [_237384] : [-(minus(_237384, n1) = pred(_237384))], (758 ^ _206732) ^ [_237467] : [-(pred(succ(_237467)) = _237467)], (760 ^ _206732) ^ [_237549] : [-(succ(pred(_237549)) = _237549)], (762 ^ _206732) ^ [_237689, _237691] : [leq(succ(_237691), succ(_237689)), -(leq(_237691, _237689))], (768 ^ _206732) ^ [_237859, _237861] : [leq(_237861, _237859), -(leq(succ(_237861), succ(_237859)))], (774 ^ _206732) ^ [_238079, _238081] : [leq(succ(_238081), _238079), -(gt(_238079, _238081))], (780 ^ _206732) ^ [_238293, _238295] : [leq(minus(_238295, _238293), _238295), -(leq(n0, _238293))], (786 ^ _206732) ^ [_238522, _238524, _238526, _238528] : [-(a_select3(tptp_update3(_238528, _238526, _238524, _238522), _238526, _238524) = _238522)], (788 ^ _206732) ^ [_238714, _238716, _238718, _238720, _238722, _238724, _238726] : [-(a_select3(tptp_update3(_238718, _238726, _238724, _238714), _238722, _238720) = _238716), -(_238726 = _238722), _238724 = _238720, a_select3(_238718, _238722, _238720) = _238716], (802 ^ _206732) ^ [_239257, _239259, _239261, _239263, _239265, _239267] : [-(a_select3(tptp_update3(_239259, _239263, _239261, _239257), _239267, _239265) = _239257), 807 ^ _206732 : [(808 ^ _206732) ^ [] : [-(leq(n0, 805 ^ [_239257, _239259, _239261, _239263, _239265, _239267]))], (810 ^ _206732) ^ [] : [-(leq(n0, 806 ^ [_239257, _239259, _239261, _239263, _239265, _239267]))], (812 ^ _206732) ^ [] : [-(leq(805 ^ [_239257, _239259, _239261, _239263, _239265, _239267], _239263))], (814 ^ _206732) ^ [] : [-(leq(806 ^ [_239257, _239259, _239261, _239263, _239265, _239267], _239261))], (816 ^ _206732) ^ [] : [a_select3(_239259, 805 ^ [_239257, _239259, _239261, _239263, _239265, _239267], 806 ^ [_239257, _239259, _239261, _239263, _239265, _239267]) = _239257]], leq(n0, _239267), leq(_239267, _239263), leq(n0, _239265), leq(_239265, _239261)], (834 ^ _206732) ^ [_240599, _240601, _240603] : [-(a_select2(tptp_update2(_240603, _240601, _240599), _240601) = _240599)], (836 ^ _206732) ^ [_240759, _240761, _240763, _240765, _240767] : [-(a_select2(tptp_update2(_240763, _240767, _240759), _240765) = _240761), -(_240767 = _240765), a_select2(_240763, _240765) = _240761], (865 ^ _206732) ^ [] : [-(true)], (867 ^ _206732) ^ [] : [def = use], (846 ^ _206732) ^ [_241139, _241141, _241143, _241145] : [-(a_select2(tptp_update2(_241141, _241143, _241139), _241145) = _241139), 850 ^ _206732 : [(851 ^ _206732) ^ [] : [-(leq(n0, 849 ^ [_241139, _241141, _241143, _241145]))], (853 ^ _206732) ^ [] : [-(leq(849 ^ [_241139, _241141, _241143, _241145], _241143))], (855 ^ _206732) ^ [] : [a_select2(_241141, 849 ^ [_241139, _241141, _241143, _241145]) = _241139]], leq(n0, _241145), leq(_241145, _241143)]], input).
% 0.35/1.37  ncf('1',plain,[a_select2(sigmaold_init, 1136 ^ []) = init],start(1142 ^ 0)).
% 0.35/1.37  ncf('1.1',plain,[-(a_select2(sigmaold_init, 1136 ^ []) = init), 1127 : leq(n0, 1136 ^ []), 1127 : leq(1136 ^ [], n4), 1127 : gt(loopcounter, n1)],extension(1123 ^ 1,bind([[_248933], [1136 ^ []]]))).
% 0.35/1.37  ncf('1.1.1',plain,[-(leq(n0, 1136 ^ []))],extension(1138 ^ 4)).
% 0.35/1.37  ncf('1.1.2',plain,[-(leq(1136 ^ [], n4))],extension(1140 ^ 4)).
% 0.35/1.37  ncf('1.1.3',plain,[-(gt(loopcounter, n1))],extension(1055 ^ 2)).
% 0.35/1.37  %-----------------------------------------------------
% 0.35/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------