%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV187+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 0.38s 1.40s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV187+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Fri May 19 02:35:27 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.38/1.40  
% 0.38/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.38/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  ncf(matrix, plain, [(1128 ^ _205550) ^ [] : [-(leq(n0, 1126 ^ []))], (1130 ^ _205550) ^ [] : [-(leq(1126 ^ [], n4))], (1132 ^ _205550) ^ [] : [a_select2(sigmaold_init, 1126 ^ []) = init], (1055 ^ _205550) ^ [] : [-(gt(loopcounter, n1))], (1057 ^ _205550) ^ [_245919] : [leq(n0, _245919), leq(_245919, n135299), 1064 ^ _205550 : [(1065 ^ _205550) ^ [_246147] : [-(a_select3(q_init, _245919, _246147) = init), leq(n0, _246147), leq(_246147, n4)]]], (1075 ^ _205550) ^ [_246449] : [-(a_select3(center_init, _246449, n0) = init), leq(n0, _246449), leq(_246449, n4)], (1085 ^ _205550) ^ [] : [gt(loopcounter, n1), 1088 ^ _205550 : [(1089 ^ _205550) ^ [_246794] : [-(a_select2(muold_init, _246794) = init), leq(n0, _246794), leq(_246794, n4)]]], (1099 ^ _205550) ^ [] : [gt(loopcounter, n1), 1102 ^ _205550 : [(1103 ^ _205550) ^ [_247142] : [-(a_select2(rhoold_init, _247142) = init), leq(n0, _247142), leq(_247142, n4)]]], (1113 ^ _205550) ^ [] : [gt(loopcounter, n1), 1116 ^ _205550 : [(1117 ^ _205550) ^ [_247470] : [-(a_select2(sigmaold_init, _247470) = init), leq(n0, _247470), leq(_247470, n4)]]], (2 ^ _205550) ^ [_205694] : [-(_205694 = _205694)], (4 ^ _205550) ^ [_205801, _205803] : [_205803 = _205801, -(_205801 = _205803)], (10 ^ _205550) ^ [_206005, _206007, _206009] : [-(_206009 = _206005), _206009 = _206007, _206007 = _206005], (20 ^ _205550) ^ [_206346, _206348, _206350, _206352] : [-(lt(_206350, _206346)), lt(_206352, _206348), _206352 = _206350, _206348 = _206346], (34 ^ _205550) ^ [_206790, _206792, _206794, _206796] : [-(geq(_206794, _206790)), geq(_206796, _206792), _206796 = _206794, _206792 = _206790], (48 ^ _205550) ^ [_207234, _207236, _207238, _207240] : [-(gt(_207238, _207234)), gt(_207240, _207236), _207240 = _207238, _207236 = _207234], (62 ^ _205550) ^ [_207658, _207660, _207662, _207664] : [-(leq(_207662, _207658)), leq(_207664, _207660), _207664 = _207662, _207660 = _207658], (76 ^ _205550) ^ [_208114, _208116, _208118, _208120] : [-(uniform_int_rnd(_208120, _208116) = uniform_int_rnd(_208118, _208114)), _208120 = _208118, _208116 = _208114], (86 ^ _205550) ^ [_208473, _208475, _208477, _208479] : [-(tptp_const_array1(_208479, _208475) = tptp_const_array1(_208477, _208473)), _208479 = _208477, _208475 = _208473], (96 ^ _205550) ^ [_208860, _208862, _208864, _208866, _208868, _208870] : [-(tptp_const_array2(_208870, _208866, _208862) = tptp_const_array2(_208868, _208864, _208860)), _208870 = _208868, _208866 = _208864, _208862 = _208860], (110 ^ _205550) ^ [_209348, _209350, _209352, _209354] : [-(dim(_209354, _209350) = dim(_209352, _209348)), _209354 = _209352, _209350 = _209348], (120 ^ _205550) ^ [_209679, _209681] : [_209681 = _209679, -(inv(_209681) = inv(_209679))], (126 ^ _205550) ^ [_209925, _209927, _209929, _209931] : [-(tptp_msub(_209931, _209927) = tptp_msub(_209929, _209925)), _209931 = _209929, _209927 = _209925], (136 ^ _205550) ^ [_210284, _210286, _210288, _210290] : [-(tptp_madd(_210290, _210286) = tptp_madd(_210288, _210284)), _210290 = _210288, _210286 = _210284], (146 ^ _205550) ^ [_210643, _210645, _210647, _210649] : [-(tptp_mmul(_210649, _210645) = tptp_mmul(_210647, _210643)), _210649 = _210647, _210645 = _210643], (156 ^ _205550) ^ [_210974, _210976] : [_210976 = _210974, -(trans(_210976) = trans(_210974))], (162 ^ _205550) ^ [_211248, _211250, _211252, _211254, _211256, _211258] : [-(sum(_211258, _211254, _211250) = sum(_211256, _211252, _211248)), _211258 = _211256, _211254 = _211252, _211250 = _211248], (176 ^ _205550) ^ [_211736, _211738, _211740, _211742] : [-(plus(_211742, _211738) = plus(_211740, _211736)), _211742 = _211740, _211738 = _211736], (186 ^ _205550) ^ [_212067, _212069] : [_212069 = _212067, -(pred(_212069) = pred(_212067))], (192 ^ _205550) ^ [_212313, _212315, _212317, _212319] : [-(minus(_212319, _212315) = minus(_212317, _212313)), _212319 = _212317, _212315 = _212313], (202 ^ _205550) ^ [_212728, _212730, _212732, _212734, _212736, _212738, _212740, _212742] : [-(tptp_update3(_212742, _212738, _212734, _212730) = tptp_update3(_212740, _212736, _212732, _212728)), _212742 = _212740, _212738 = _212736, _212734 = _212732, _212730 = _212728], (220 ^ _205550) ^ [_213389, _213391, _213393, _213395, _213397, _213399] : [-(tptp_update2(_213399, _213395, _213391) = tptp_update2(_213397, _213393, _213389)), _213399 = _213397, _213395 = _213393, _213391 = _213389], (234 ^ _205550) ^ [_213849, _213851] : [_213851 = _213849, -(succ(_213851) = succ(_213849))], (254 ^ _205550) ^ [_214591, _214593, _214595, _214597] : [-(a_select2(_214597, _214593) = a_select2(_214595, _214591)), _214597 = _214595, _214593 = _214591], (240 ^ _205550) ^ [_214123, _214125, _214127, _214129, _214131, _214133] : [-(a_select3(_214133, _214129, _214125) = a_select3(_214131, _214127, _214123)), _214133 = _214131, _214129 = _214127, _214125 = _214123], (869 ^ _205550) ^ [] : [-(gt(n5, n4))], (871 ^ _205550) ^ [] : [-(gt(n135299, n4))], (873 ^ _205550) ^ [] : [-(gt(n135299, n5))], (875 ^ _205550) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _205550) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _205550) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _205550) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _205550) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _205550) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _205550) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _205550) ^ [] : [-(gt(n4, n0))], (891 ^ _205550) ^ [] : [-(gt(n5, n0))], (893 ^ _205550) ^ [] : [-(gt(n135299, n0))], (895 ^ _205550) ^ [] : [-(gt(n1, n0))], (897 ^ _205550) ^ [] : [-(gt(n2, n0))], (899 ^ _205550) ^ [] : [-(gt(n3, n0))], (901 ^ _205550) ^ [] : [-(gt(n4, n1))], (903 ^ _205550) ^ [] : [-(gt(n5, n1))], (905 ^ _205550) ^ [] : [-(gt(n135299, n1))], (907 ^ _205550) ^ [] : [-(gt(n2, n1))], (909 ^ _205550) ^ [] : [-(gt(n3, n1))], (911 ^ _205550) ^ [] : [-(gt(n4, n2))], (913 ^ _205550) ^ [] : [-(gt(n5, n2))], (915 ^ _205550) ^ [] : [-(gt(n135299, n2))], (917 ^ _205550) ^ [] : [-(gt(n3, n2))], (919 ^ _205550) ^ [] : [-(gt(n4, n3))], (921 ^ _205550) ^ [] : [-(gt(n5, n3))], (923 ^ _205550) ^ [] : [-(gt(n135299, n3))], (925 ^ _205550) ^ [_242431] : [leq(n0, _242431), leq(_242431, n4), -(_242431 = n0), -(_242431 = n1), -(_242431 = n2), -(_242431 = n3), -(_242431 = n4)], (951 ^ _205550) ^ [_243052] : [leq(n0, _243052), leq(_243052, n5), -(_243052 = n0), -(_243052 = n1), -(_243052 = n2), -(_243052 = n3), -(_243052 = n4), -(_243052 = n5)], (981 ^ _205550) ^ [_243759] : [-(_243759 = n0), leq(n0, _243759), leq(_243759, n0)], (991 ^ _205550) ^ [_244034] : [leq(n0, _244034), leq(_244034, n1), -(_244034 = n0), -(_244034 = n1)], (1005 ^ _205550) ^ [_244397] : [leq(n0, _244397), leq(_244397, n2), -(_244397 = n0), -(_244397 = n1), -(_244397 = n2)], (1045 ^ _205550) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _205550) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _205550) ^ [] : [-(succ(n0) = n1)], (1051 ^ _205550) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _205550) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _205550) ^ [_244846] : [leq(n0, _244846), leq(_244846, n3), -(_244846 = n0), -(_244846 = n1), -(_244846 = n2), -(_244846 = n3)], (264 ^ _205550) ^ [_215022, _215024] : [-(gt(_215024, _215022)), -(gt(_215022, _215024)), -(_215024 = _215022)], (274 ^ _205550) ^ [_215337, _215339, _215341] : [-(gt(_215341, _215337)), gt(_215341, _215339), gt(_215339, _215337)], (284 ^ _205550) ^ [_215616] : [gt(_215616, _215616)], (286 ^ _205550) ^ [_215694] : [-(leq(_215694, _215694))], (288 ^ _205550) ^ [_215815, _215817, _215819] : [-(leq(_215819, _215815)), leq(_215819, _215817), leq(_215817, _215815)], (298 ^ _205550) ^ [_216153, _216155] : [lt(_216155, _216153), -(gt(_216153, _216155))], (304 ^ _205550) ^ [_216315, _216317] : [gt(_216315, _216317), -(lt(_216317, _216315))], (310 ^ _205550) ^ [_216556, _216558] : [geq(_216558, _216556), -(leq(_216556, _216558))], (316 ^ _205550) ^ [_216718, _216720] : [leq(_216718, _216720), -(geq(_216720, _216718))], (322 ^ _205550) ^ [_216930, _216932] : [gt(_216930, _216932), -(leq(_216932, _216930))], (328 ^ _205550) ^ [_217140, _217142] : [-(gt(_217140, _217142)), leq(_217142, _217140), -(_217142 = _217140)], (338 ^ _205550) ^ [_217471, _217473] : [leq(_217473, pred(_217471)), -(gt(_217471, _217473))], (344 ^ _205550) ^ [_217637, _217639] : [gt(_217637, _217639), -(leq(_217639, pred(_217637)))], (350 ^ _205550) ^ [_217824] : [-(gt(succ(_217824), _217824))], (352 ^ _205550) ^ [_217933, _217935] : [leq(_217935, _217933), -(leq(_217935, succ(_217933)))], (358 ^ _205550) ^ [_218176, _218178] : [leq(_218178, _218176), -(gt(succ(_218176), _218178))], (364 ^ _205550) ^ [_218342, _218344] : [gt(succ(_218342), _218344), -(leq(_218344, _218342))], (370 ^ _205550) ^ [_218558, _218560] : [leq(n0, _218560), -(leq(uniform_int_rnd(_218558, _218560), _218560))], (376 ^ _205550) ^ [_218774, _218776] : [leq(n0, _218776), -(leq(n0, uniform_int_rnd(_218774, _218776)))], (382 ^ _205550) ^ [_219018, _219020, _219022, _219024] : [-(a_select2(tptp_const_array1(dim(_219022, _219020), _219018), _219024) = _219018), leq(_219022, _219024), leq(_219024, _219020)], (392 ^ _205550) ^ [_219425, _219427, _219429, _219431, _219433, _219435, _219437] : [-(a_select3(tptp_const_array2(dim(_219435, _219433), dim(_219429, _219427), _219425), _219437, _219431) = _219425), leq(_219435, _219437), leq(_219437, _219433), leq(_219429, _219431), leq(_219431, _219427)], (410 ^ _205550) ^ [_220020, _220022] : [413 ^ _205550 : [(414 ^ _205550) ^ [] : [-(leq(n0, 411 ^ [_220020, _220022]))], (416 ^ _205550) ^ [] : [-(leq(411 ^ [_220020, _220022], _220020))], (418 ^ _205550) ^ [] : [-(leq(n0, 412 ^ [_220020, _220022]))], (420 ^ _205550) ^ [] : [-(leq(412 ^ [_220020, _220022], _220020))], (422 ^ _205550) ^ [] : [a_select3(_220022, 411 ^ [_220020, _220022], 412 ^ [_220020, _220022]) = a_select3(_220022, 412 ^ [_220020, _220022], 411 ^ [_220020, _220022])]], 423 ^ _205550 : [(424 ^ _205550) ^ [_220777, _220779] : [-(a_select3(trans(_220022), _220779, _220777) = a_select3(trans(_220022), _220777, _220779)), leq(n0, _220779), leq(_220779, _220020), leq(n0, _220777), leq(_220777, _220020)]]], (442 ^ _205550) ^ [_221324, _221326] : [445 ^ _205550 : [(446 ^ _205550) ^ [] : [-(leq(n0, 443 ^ [_221324, _221326]))], (448 ^ _205550) ^ [] : [-(leq(443 ^ [_221324, _221326], _221324))], (450 ^ _205550) ^ [] : [-(leq(n0, 444 ^ [_221324, _221326]))], (452 ^ _205550) ^ [] : [-(leq(444 ^ [_221324, _221326], _221324))], (454 ^ _205550) ^ [] : [a_select3(_221326, 443 ^ [_221324, _221326], 444 ^ [_221324, _221326]) = a_select3(_221326, 444 ^ [_221324, _221326], 443 ^ [_221324, _221326])]], 455 ^ _205550 : [(456 ^ _205550) ^ [_222081, _222083] : [-(a_select3(inv(_221326), _222083, _222081) = a_select3(inv(_221326), _222081, _222083)), leq(n0, _222083), leq(_222083, _221324), leq(n0, _222081), leq(_222081, _221324)]]], (474 ^ _205550) ^ [_222628, _222630] : [477 ^ _205550 : [(478 ^ _205550) ^ [] : [-(leq(n0, 475 ^ [_222628, _222630]))], (480 ^ _205550) ^ [] : [-(leq(475 ^ [_222628, _222630], _222628))], (482 ^ _205550) ^ [] : [-(leq(n0, 476 ^ [_222628, _222630]))], (484 ^ _205550) ^ [] : [-(leq(476 ^ [_222628, _222630], _222628))], (486 ^ _205550) ^ [] : [a_select3(_222630, 475 ^ [_222628, _222630], 476 ^ [_222628, _222630]) = a_select3(_222630, 476 ^ [_222628, _222630], 475 ^ [_222628, _222630])]], 487 ^ _205550 : [(488 ^ _205550) ^ [_223441, _223443, _223445, _223447] : [-(a_select3(tptp_update3(_222630, _223443, _223443, _223441), _223447, _223445) = a_select3(tptp_update3(_222630, _223443, _223443, _223441), _223445, _223447)), leq(n0, _223447), leq(_223447, _222628), leq(n0, _223445), leq(_223445, _222628), leq(n0, _223443), leq(_223443, _222628)]]], (514 ^ _205550) ^ [_224260, _224262, _224264] : [519 ^ _205550 : [(520 ^ _205550) ^ [] : [-(leq(n0, 517 ^ [_224260, _224262, _224264]))], (522 ^ _205550) ^ [] : [-(leq(517 ^ [_224260, _224262, _224264], _224260))], (524 ^ _205550) ^ [] : [-(leq(n0, 518 ^ [_224260, _224262, _224264]))], (526 ^ _205550) ^ [] : [-(leq(518 ^ [_224260, _224262, _224264], _224260))], (528 ^ _205550) ^ [] : [a_select3(_224264, 517 ^ [_224260, _224262, _224264], 518 ^ [_224260, _224262, _224264]) = a_select3(_224264, 518 ^ [_224260, _224262, _224264], 517 ^ [_224260, _224262, _224264])]], 531 ^ _205550 : [(532 ^ _205550) ^ [] : [-(leq(n0, 529 ^ [_224260, _224262, _224264]))], (534 ^ _205550) ^ [] : [-(leq(529 ^ [_224260, _224262, _224264], _224260))], (536 ^ _205550) ^ [] : [-(leq(n0, 530 ^ [_224260, _224262, _224264]))], (538 ^ _205550) ^ [] : [-(leq(530 ^ [_224260, _224262, _224264], _224260))], (540 ^ _205550) ^ [] : [a_select3(_224262, 529 ^ [_224260, _224262, _224264], 530 ^ [_224260, _224262, _224264]) = a_select3(_224262, 530 ^ [_224260, _224262, _224264], 529 ^ [_224260, _224262, _224264])]], 541 ^ _205550 : [(542 ^ _205550) ^ [_225769, _225771] : [-(a_select3(tptp_madd(_224264, _224262), _225771, _225769) = a_select3(tptp_madd(_224264, _224262), _225769, _225771)), leq(n0, _225771), leq(_225771, _224260), leq(n0, _225769), leq(_225769, _224260)]]], (560 ^ _205550) ^ [_226355, _226357, _226359] : [565 ^ _205550 : [(566 ^ _205550) ^ [] : [-(leq(n0, 563 ^ [_226355, _226357, _226359]))], (568 ^ _205550) ^ [] : [-(leq(563 ^ [_226355, _226357, _226359], _226355))], (570 ^ _205550) ^ [] : [-(leq(n0, 564 ^ [_226355, _226357, _226359]))], (572 ^ _205550) ^ [] : [-(leq(564 ^ [_226355, _226357, _226359], _226355))], (574 ^ _205550) ^ [] : [a_select3(_226359, 563 ^ [_226355, _226357, _226359], 564 ^ [_226355, _226357, _226359]) = a_select3(_226359, 564 ^ [_226355, _226357, _226359], 563 ^ [_226355, _226357, _226359])]], 577 ^ _205550 : [(578 ^ _205550) ^ [] : [-(leq(n0, 575 ^ [_226355, _226357, _226359]))], (580 ^ _205550) ^ [] : [-(leq(575 ^ [_226355, _226357, _226359], _226355))], (582 ^ _205550) ^ [] : [-(leq(n0, 576 ^ [_226355, _226357, _226359]))], (584 ^ _205550) ^ [] : [-(leq(576 ^ [_226355, _226357, _226359], _226355))], (586 ^ _205550) ^ [] : [a_select3(_226357, 575 ^ [_226355, _226357, _226359], 576 ^ [_226355, _226357, _226359]) = a_select3(_226357, 576 ^ [_226355, _226357, _226359], 575 ^ [_226355, _226357, _226359])]], 587 ^ _205550 : [(588 ^ _205550) ^ [_227864, _227866] : [-(a_select3(tptp_msub(_226359, _226357), _227866, _227864) = a_select3(tptp_msub(_226359, _226357), _227864, _227866)), leq(n0, _227866), leq(_227866, _226355), leq(n0, _227864), leq(_227864, _226355)]]], (606 ^ _205550) ^ [_228450, _228452, _228454] : [609 ^ _205550 : [(610 ^ _205550) ^ [] : [-(leq(n0, 607 ^ [_228450, _228452, _228454]))], (612 ^ _205550) ^ [] : [-(leq(607 ^ [_228450, _228452, _228454], _228450))], (614 ^ _205550) ^ [] : [-(leq(n0, 608 ^ [_228450, _228452, _228454]))], (616 ^ _205550) ^ [] : [-(leq(608 ^ [_228450, _228452, _228454], _228450))], (618 ^ _205550) ^ [] : [a_select3(_228452, 607 ^ [_228450, _228452, _228454], 608 ^ [_228450, _228452, _228454]) = a_select3(_228452, 608 ^ [_228450, _228452, _228454], 607 ^ [_228450, _228452, _228454])]], 619 ^ _205550 : [(620 ^ _205550) ^ [_229263, _229265] : [-(a_select3(tptp_mmul(_228454, tptp_mmul(_228452, trans(_228454))), _229265, _229263) = a_select3(tptp_mmul(_228454, tptp_mmul(_228452, trans(_228454))), _229263, _229265)), leq(n0, _229265), leq(_229265, _228450), leq(n0, _229263), leq(_229263, _228450)]]], (638 ^ _205550) ^ [_229882, _229884, _229886, _229888] : [641 ^ _205550 : [(642 ^ _205550) ^ [] : [-(leq(n0, 639 ^ [_229882, _229884, _229886, _229888]))], (644 ^ _205550) ^ [] : [-(leq(639 ^ [_229882, _229884, _229886, _229888], _229882))], (646 ^ _205550) ^ [] : [-(leq(n0, 640 ^ [_229882, _229884, _229886, _229888]))], (648 ^ _205550) ^ [] : [-(leq(640 ^ [_229882, _229884, _229886, _229888], _229882))], (650 ^ _205550) ^ [] : [a_select3(_229886, 639 ^ [_229882, _229884, _229886, _229888], 640 ^ [_229882, _229884, _229886, _229888]) = a_select3(_229886, 640 ^ [_229882, _229884, _229886, _229888], 639 ^ [_229882, _229884, _229886, _229888])]], 651 ^ _205550 : [(652 ^ _205550) ^ [_230739, _230741] : [-(a_select3(tptp_mmul(_229888, tptp_mmul(_229886, trans(_229888))), _230741, _230739) = a_select3(tptp_mmul(_229888, tptp_mmul(_229886, trans(_229888))), _230739, _230741)), leq(n0, _230741), leq(_230741, _229884), leq(n0, _230739), leq(_230739, _229884)]]], (670 ^ _205550) ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448] : [675 ^ _205550 : [(676 ^ _205550) ^ [] : [-(leq(n0, 673 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]))], (678 ^ _205550) ^ [] : [-(leq(673 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], _231434))], (680 ^ _205550) ^ [] : [-(leq(n0, 674 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]))], (682 ^ _205550) ^ [] : [-(leq(674 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], _231434))], (684 ^ _205550) ^ [] : [a_select3(_231442, 673 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], 674 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]) = a_select3(_231442, 674 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], 673 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448])]], 689 ^ _205550 : [(690 ^ _205550) ^ [] : [-(leq(n0, 687 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]))], (692 ^ _205550) ^ [] : [-(leq(687 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], _231436))], (694 ^ _205550) ^ [] : [-(leq(n0, 688 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]))], (696 ^ _205550) ^ [] : [-(leq(688 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], _231436))], (698 ^ _205550) ^ [] : [a_select3(_231448, 687 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], 688 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]) = a_select3(_231448, 688 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], 687 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448])]], 701 ^ _205550 : [(702 ^ _205550) ^ [] : [-(leq(n0, 699 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]))], (704 ^ _205550) ^ [] : [-(leq(699 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], _231436))], (706 ^ _205550) ^ [] : [-(leq(n0, 700 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]))], (708 ^ _205550) ^ [] : [-(leq(700 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], _231436))], (710 ^ _205550) ^ [] : [a_select3(_231438, 699 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], 700 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448]) = a_select3(_231438, 700 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448], 699 ^ [_231434, _231436, _231438, _231440, _231442, _231444, _231446, _231448])]], 711 ^ _205550 : [(712 ^ _205550) ^ [_234362, _234364] : [-(a_select3(tptp_madd(_231448, tptp_mmul(_231446, tptp_mmul(tptp_madd(tptp_mmul(_231444, tptp_mmul(_231442, trans(_231444))), tptp_mmul(_231440, tptp_mmul(_231438, trans(_231440)))), trans(_231446)))), _234364, _234362) = a_select3(tptp_madd(_231448, tptp_mmul(_231446, tptp_mmul(tptp_madd(tptp_mmul(_231444, tptp_mmul(_231442, trans(_231444))), tptp_mmul(_231440, tptp_mmul(_231438, trans(_231440)))), trans(_231446)))), _234362, _234364)), leq(n0, _234364), leq(_234364, _231436), leq(n0, _234362), leq(_234362, _231436)]]], (730 ^ _205550) ^ [_235115] : [-(sum(n0, tptp_minus_1, _235115) = n0)], (732 ^ _205550) ^ [_235197] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _235197))], (734 ^ _205550) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _205550) ^ [_235332] : [-(plus(_235332, n1) = succ(_235332))], (738 ^ _205550) ^ [_235415] : [-(plus(n1, _235415) = succ(_235415))], (740 ^ _205550) ^ [_235498] : [-(plus(_235498, n2) = succ(succ(_235498)))], (742 ^ _205550) ^ [_235583] : [-(plus(n2, _235583) = succ(succ(_235583)))], (744 ^ _205550) ^ [_235668] : [-(plus(_235668, n3) = succ(succ(succ(_235668))))], (746 ^ _205550) ^ [_235755] : [-(plus(n3, _235755) = succ(succ(succ(_235755))))], (748 ^ _205550) ^ [_235842] : [-(plus(_235842, n4) = succ(succ(succ(succ(_235842)))))], (750 ^ _205550) ^ [_235931] : [-(plus(n4, _235931) = succ(succ(succ(succ(_235931)))))], (752 ^ _205550) ^ [_236020] : [-(plus(_236020, n5) = succ(succ(succ(succ(succ(_236020))))))], (754 ^ _205550) ^ [_236111] : [-(plus(n5, _236111) = succ(succ(succ(succ(succ(_236111))))))], (756 ^ _205550) ^ [_236202] : [-(minus(_236202, n1) = pred(_236202))], (758 ^ _205550) ^ [_236285] : [-(pred(succ(_236285)) = _236285)], (760 ^ _205550) ^ [_236367] : [-(succ(pred(_236367)) = _236367)], (762 ^ _205550) ^ [_236507, _236509] : [leq(succ(_236509), succ(_236507)), -(leq(_236509, _236507))], (768 ^ _205550) ^ [_236677, _236679] : [leq(_236679, _236677), -(leq(succ(_236679), succ(_236677)))], (774 ^ _205550) ^ [_236897, _236899] : [leq(succ(_236899), _236897), -(gt(_236897, _236899))], (780 ^ _205550) ^ [_237111, _237113] : [leq(minus(_237113, _237111), _237113), -(leq(n0, _237111))], (786 ^ _205550) ^ [_237340, _237342, _237344, _237346] : [-(a_select3(tptp_update3(_237346, _237344, _237342, _237340), _237344, _237342) = _237340)], (788 ^ _205550) ^ [_237532, _237534, _237536, _237538, _237540, _237542, _237544] : [-(a_select3(tptp_update3(_237536, _237544, _237542, _237532), _237540, _237538) = _237534), -(_237544 = _237540), _237542 = _237538, a_select3(_237536, _237540, _237538) = _237534], (802 ^ _205550) ^ [_238075, _238077, _238079, _238081, _238083, _238085] : [-(a_select3(tptp_update3(_238077, _238081, _238079, _238075), _238085, _238083) = _238075), 807 ^ _205550 : [(808 ^ _205550) ^ [] : [-(leq(n0, 805 ^ [_238075, _238077, _238079, _238081, _238083, _238085]))], (810 ^ _205550) ^ [] : [-(leq(n0, 806 ^ [_238075, _238077, _238079, _238081, _238083, _238085]))], (812 ^ _205550) ^ [] : [-(leq(805 ^ [_238075, _238077, _238079, _238081, _238083, _238085], _238081))], (814 ^ _205550) ^ [] : [-(leq(806 ^ [_238075, _238077, _238079, _238081, _238083, _238085], _238079))], (816 ^ _205550) ^ [] : [a_select3(_238077, 805 ^ [_238075, _238077, _238079, _238081, _238083, _238085], 806 ^ [_238075, _238077, _238079, _238081, _238083, _238085]) = _238075]], leq(n0, _238085), leq(_238085, _238081), leq(n0, _238083), leq(_238083, _238079)], (834 ^ _205550) ^ [_239417, _239419, _239421] : [-(a_select2(tptp_update2(_239421, _239419, _239417), _239419) = _239417)], (836 ^ _205550) ^ [_239577, _239579, _239581, _239583, _239585] : [-(a_select2(tptp_update2(_239581, _239585, _239577), _239583) = _239579), -(_239585 = _239583), a_select2(_239581, _239583) = _239579], (865 ^ _205550) ^ [] : [-(true)], (867 ^ _205550) ^ [] : [def = use], (846 ^ _205550) ^ [_239957, _239959, _239961, _239963] : [-(a_select2(tptp_update2(_239959, _239961, _239957), _239963) = _239957), 850 ^ _205550 : [(851 ^ _205550) ^ [] : [-(leq(n0, 849 ^ [_239957, _239959, _239961, _239963]))], (853 ^ _205550) ^ [] : [-(leq(849 ^ [_239957, _239959, _239961, _239963], _239961))], (855 ^ _205550) ^ [] : [a_select2(_239959, 849 ^ [_239957, _239959, _239961, _239963]) = _239957]], leq(n0, _239963), leq(_239963, _239961)]], input).
% 0.38/1.40  ncf('1',plain,[a_select2(sigmaold_init, 1126 ^ []) = init],start(1132 ^ 0)).
% 0.38/1.40  ncf('1.1',plain,[-(a_select2(sigmaold_init, 1126 ^ []) = init), 1117 : leq(n0, 1126 ^ []), 1117 : leq(1126 ^ [], n4), 1117 : gt(loopcounter, n1)],extension(1113 ^ 1,bind([[_247470], [1126 ^ []]]))).
% 0.38/1.40  ncf('1.1.1',plain,[-(leq(n0, 1126 ^ []))],extension(1128 ^ 4)).
% 0.38/1.40  ncf('1.1.2',plain,[-(leq(1126 ^ [], n4))],extension(1130 ^ 4)).
% 0.38/1.40  ncf('1.1.3',plain,[-(gt(loopcounter, n1))],extension(1055 ^ 2)).
% 0.38/1.40  %-----------------------------------------------------
% 0.38/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------