%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV175+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 12:20:06 EDT 2023

% Result   : Theorem 0.35s 1.40s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV175+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May 19 02:45:18 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.35/1.40  
% 0.35/1.40  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.35/1.40  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.40  %-----------------------------------------------------
% 0.35/1.40  ncf(matrix, plain, [(1143 ^ _207098) ^ [] : [a_select3(q_init, pv30, pv28) = init], (1055 ^ _207098) ^ [] : [-(leq(n0, pv28))], (1057 ^ _207098) ^ [] : [-(leq(n0, pv30))], (1059 ^ _207098) ^ [] : [-(leq(pv28, n4))], (1061 ^ _207098) ^ [] : [-(leq(pv30, n135299))], (1063 ^ _207098) ^ [_247626] : [leq(n0, _247626), leq(_247626, n135299), 1070 ^ _207098 : [(1071 ^ _207098) ^ [_247854] : [-(a_select3(q_init, _247626, _247854) = init), leq(n0, _247854), leq(_247854, n4)]]], (1081 ^ _207098) ^ [_248156] : [-(a_select2(rho_init, _248156) = init), leq(n0, _248156), leq(_248156, pred(pv28))], (1091 ^ _207098) ^ [_248437] : [-(a_select3(center_init, _248437, n0) = init), leq(n0, _248437), leq(_248437, n4)], (1101 ^ _207098) ^ [] : [gt(loopcounter, n1), 1104 ^ _207098 : [(1105 ^ _207098) ^ [_248782] : [-(a_select2(muold_init, _248782) = init), leq(n0, _248782), leq(_248782, n4)]]], (1115 ^ _207098) ^ [] : [gt(loopcounter, n1), 1118 ^ _207098 : [(1119 ^ _207098) ^ [_249130] : [-(a_select2(rhoold_init, _249130) = init), leq(n0, _249130), leq(_249130, n4)]]], (1129 ^ _207098) ^ [] : [gt(loopcounter, n1), 1132 ^ _207098 : [(1133 ^ _207098) ^ [_249458] : [-(a_select2(sigmaold_init, _249458) = init), leq(n0, _249458), leq(_249458, n4)]]], (2 ^ _207098) ^ [_207242] : [-(_207242 = _207242)], (4 ^ _207098) ^ [_207349, _207351] : [_207351 = _207349, -(_207349 = _207351)], (10 ^ _207098) ^ [_207553, _207555, _207557] : [-(_207557 = _207553), _207557 = _207555, _207555 = _207553], (20 ^ _207098) ^ [_207894, _207896, _207898, _207900] : [-(lt(_207898, _207894)), lt(_207900, _207896), _207900 = _207898, _207896 = _207894], (34 ^ _207098) ^ [_208338, _208340, _208342, _208344] : [-(geq(_208342, _208338)), geq(_208344, _208340), _208344 = _208342, _208340 = _208338], (48 ^ _207098) ^ [_208782, _208784, _208786, _208788] : [-(gt(_208786, _208782)), gt(_208788, _208784), _208788 = _208786, _208784 = _208782], (62 ^ _207098) ^ [_209206, _209208, _209210, _209212] : [-(leq(_209210, _209206)), leq(_209212, _209208), _209212 = _209210, _209208 = _209206], (76 ^ _207098) ^ [_209662, _209664, _209666, _209668] : [-(uniform_int_rnd(_209668, _209664) = uniform_int_rnd(_209666, _209662)), _209668 = _209666, _209664 = _209662], (86 ^ _207098) ^ [_210021, _210023, _210025, _210027] : [-(tptp_const_array1(_210027, _210023) = tptp_const_array1(_210025, _210021)), _210027 = _210025, _210023 = _210021], (96 ^ _207098) ^ [_210408, _210410, _210412, _210414, _210416, _210418] : [-(tptp_const_array2(_210418, _210414, _210410) = tptp_const_array2(_210416, _210412, _210408)), _210418 = _210416, _210414 = _210412, _210410 = _210408], (110 ^ _207098) ^ [_210896, _210898, _210900, _210902] : [-(dim(_210902, _210898) = dim(_210900, _210896)), _210902 = _210900, _210898 = _210896], (120 ^ _207098) ^ [_211227, _211229] : [_211229 = _211227, -(inv(_211229) = inv(_211227))], (126 ^ _207098) ^ [_211473, _211475, _211477, _211479] : [-(tptp_msub(_211479, _211475) = tptp_msub(_211477, _211473)), _211479 = _211477, _211475 = _211473], (136 ^ _207098) ^ [_211832, _211834, _211836, _211838] : [-(tptp_madd(_211838, _211834) = tptp_madd(_211836, _211832)), _211838 = _211836, _211834 = _211832], (146 ^ _207098) ^ [_212191, _212193, _212195, _212197] : [-(tptp_mmul(_212197, _212193) = tptp_mmul(_212195, _212191)), _212197 = _212195, _212193 = _212191], (156 ^ _207098) ^ [_212522, _212524] : [_212524 = _212522, -(trans(_212524) = trans(_212522))], (162 ^ _207098) ^ [_212796, _212798, _212800, _212802, _212804, _212806] : [-(sum(_212806, _212802, _212798) = sum(_212804, _212800, _212796)), _212806 = _212804, _212802 = _212800, _212798 = _212796], (176 ^ _207098) ^ [_213284, _213286, _213288, _213290] : [-(plus(_213290, _213286) = plus(_213288, _213284)), _213290 = _213288, _213286 = _213284], (186 ^ _207098) ^ [_213643, _213645, _213647, _213649] : [-(minus(_213649, _213645) = minus(_213647, _213643)), _213649 = _213647, _213645 = _213643], (196 ^ _207098) ^ [_214058, _214060, _214062, _214064, _214066, _214068, _214070, _214072] : [-(tptp_update3(_214072, _214068, _214064, _214060) = tptp_update3(_214070, _214066, _214062, _214058)), _214072 = _214070, _214068 = _214066, _214064 = _214062, _214060 = _214058], (214 ^ _207098) ^ [_214719, _214721, _214723, _214725, _214727, _214729] : [-(tptp_update2(_214729, _214725, _214721) = tptp_update2(_214727, _214723, _214719)), _214729 = _214727, _214725 = _214723, _214721 = _214719], (228 ^ _207098) ^ [_215179, _215181] : [_215181 = _215179, -(succ(_215181) = succ(_215179))], (234 ^ _207098) ^ [_215397, _215399] : [_215399 = _215397, -(pred(_215399) = pred(_215397))], (240 ^ _207098) ^ [_215643, _215645, _215647, _215649] : [-(a_select2(_215649, _215645) = a_select2(_215647, _215643)), _215649 = _215647, _215645 = _215643], (250 ^ _207098) ^ [_216010, _216012, _216014, _216016, _216018, _216020] : [-(a_select3(_216020, _216016, _216012) = a_select3(_216018, _216014, _216010)), _216020 = _216018, _216016 = _216014, _216012 = _216010], (869 ^ _207098) ^ [] : [-(gt(n5, n4))], (871 ^ _207098) ^ [] : [-(gt(n135299, n4))], (873 ^ _207098) ^ [] : [-(gt(n135299, n5))], (875 ^ _207098) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _207098) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _207098) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _207098) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _207098) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _207098) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _207098) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _207098) ^ [] : [-(gt(n4, n0))], (891 ^ _207098) ^ [] : [-(gt(n5, n0))], (893 ^ _207098) ^ [] : [-(gt(n135299, n0))], (895 ^ _207098) ^ [] : [-(gt(n1, n0))], (897 ^ _207098) ^ [] : [-(gt(n2, n0))], (899 ^ _207098) ^ [] : [-(gt(n3, n0))], (901 ^ _207098) ^ [] : [-(gt(n4, n1))], (903 ^ _207098) ^ [] : [-(gt(n5, n1))], (905 ^ _207098) ^ [] : [-(gt(n135299, n1))], (907 ^ _207098) ^ [] : [-(gt(n2, n1))], (909 ^ _207098) ^ [] : [-(gt(n3, n1))], (911 ^ _207098) ^ [] : [-(gt(n4, n2))], (913 ^ _207098) ^ [] : [-(gt(n5, n2))], (915 ^ _207098) ^ [] : [-(gt(n135299, n2))], (917 ^ _207098) ^ [] : [-(gt(n3, n2))], (919 ^ _207098) ^ [] : [-(gt(n4, n3))], (921 ^ _207098) ^ [] : [-(gt(n5, n3))], (923 ^ _207098) ^ [] : [-(gt(n135299, n3))], (925 ^ _207098) ^ [_243979] : [leq(n0, _243979), leq(_243979, n4), -(_243979 = n0), -(_243979 = n1), -(_243979 = n2), -(_243979 = n3), -(_243979 = n4)], (951 ^ _207098) ^ [_244600] : [leq(n0, _244600), leq(_244600, n5), -(_244600 = n0), -(_244600 = n1), -(_244600 = n2), -(_244600 = n3), -(_244600 = n4), -(_244600 = n5)], (981 ^ _207098) ^ [_245307] : [-(_245307 = n0), leq(n0, _245307), leq(_245307, n0)], (991 ^ _207098) ^ [_245582] : [leq(n0, _245582), leq(_245582, n1), -(_245582 = n0), -(_245582 = n1)], (1005 ^ _207098) ^ [_245945] : [leq(n0, _245945), leq(_245945, n2), -(_245945 = n0), -(_245945 = n1), -(_245945 = n2)], (1045 ^ _207098) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _207098) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _207098) ^ [] : [-(succ(n0) = n1)], (1051 ^ _207098) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _207098) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _207098) ^ [_246394] : [leq(n0, _246394), leq(_246394, n3), -(_246394 = n0), -(_246394 = n1), -(_246394 = n2), -(_246394 = n3)], (264 ^ _207098) ^ [_216570, _216572] : [-(gt(_216572, _216570)), -(gt(_216570, _216572)), -(_216572 = _216570)], (274 ^ _207098) ^ [_216885, _216887, _216889] : [-(gt(_216889, _216885)), gt(_216889, _216887), gt(_216887, _216885)], (284 ^ _207098) ^ [_217164] : [gt(_217164, _217164)], (286 ^ _207098) ^ [_217242] : [-(leq(_217242, _217242))], (288 ^ _207098) ^ [_217363, _217365, _217367] : [-(leq(_217367, _217363)), leq(_217367, _217365), leq(_217365, _217363)], (298 ^ _207098) ^ [_217701, _217703] : [lt(_217703, _217701), -(gt(_217701, _217703))], (304 ^ _207098) ^ [_217863, _217865] : [gt(_217863, _217865), -(lt(_217865, _217863))], (310 ^ _207098) ^ [_218104, _218106] : [geq(_218106, _218104), -(leq(_218104, _218106))], (316 ^ _207098) ^ [_218266, _218268] : [leq(_218266, _218268), -(geq(_218268, _218266))], (322 ^ _207098) ^ [_218478, _218480] : [gt(_218478, _218480), -(leq(_218480, _218478))], (328 ^ _207098) ^ [_218688, _218690] : [-(gt(_218688, _218690)), leq(_218690, _218688), -(_218690 = _218688)], (338 ^ _207098) ^ [_219019, _219021] : [leq(_219021, pred(_219019)), -(gt(_219019, _219021))], (344 ^ _207098) ^ [_219185, _219187] : [gt(_219185, _219187), -(leq(_219187, pred(_219185)))], (350 ^ _207098) ^ [_219372] : [-(gt(succ(_219372), _219372))], (352 ^ _207098) ^ [_219481, _219483] : [leq(_219483, _219481), -(leq(_219483, succ(_219481)))], (358 ^ _207098) ^ [_219724, _219726] : [leq(_219726, _219724), -(gt(succ(_219724), _219726))], (364 ^ _207098) ^ [_219890, _219892] : [gt(succ(_219890), _219892), -(leq(_219892, _219890))], (370 ^ _207098) ^ [_220106, _220108] : [leq(n0, _220108), -(leq(uniform_int_rnd(_220106, _220108), _220108))], (376 ^ _207098) ^ [_220322, _220324] : [leq(n0, _220324), -(leq(n0, uniform_int_rnd(_220322, _220324)))], (382 ^ _207098) ^ [_220566, _220568, _220570, _220572] : [-(a_select2(tptp_const_array1(dim(_220570, _220568), _220566), _220572) = _220566), leq(_220570, _220572), leq(_220572, _220568)], (392 ^ _207098) ^ [_220973, _220975, _220977, _220979, _220981, _220983, _220985] : [-(a_select3(tptp_const_array2(dim(_220983, _220981), dim(_220977, _220975), _220973), _220985, _220979) = _220973), leq(_220983, _220985), leq(_220985, _220981), leq(_220977, _220979), leq(_220979, _220975)], (410 ^ _207098) ^ [_221568, _221570] : [413 ^ _207098 : [(414 ^ _207098) ^ [] : [-(leq(n0, 411 ^ [_221568, _221570]))], (416 ^ _207098) ^ [] : [-(leq(411 ^ [_221568, _221570], _221568))], (418 ^ _207098) ^ [] : [-(leq(n0, 412 ^ [_221568, _221570]))], (420 ^ _207098) ^ [] : [-(leq(412 ^ [_221568, _221570], _221568))], (422 ^ _207098) ^ [] : [a_select3(_221570, 411 ^ [_221568, _221570], 412 ^ [_221568, _221570]) = a_select3(_221570, 412 ^ [_221568, _221570], 411 ^ [_221568, _221570])]], 423 ^ _207098 : [(424 ^ _207098) ^ [_222325, _222327] : [-(a_select3(trans(_221570), _222327, _222325) = a_select3(trans(_221570), _222325, _222327)), leq(n0, _222327), leq(_222327, _221568), leq(n0, _222325), leq(_222325, _221568)]]], (442 ^ _207098) ^ [_222872, _222874] : [445 ^ _207098 : [(446 ^ _207098) ^ [] : [-(leq(n0, 443 ^ [_222872, _222874]))], (448 ^ _207098) ^ [] : [-(leq(443 ^ [_222872, _222874], _222872))], (450 ^ _207098) ^ [] : [-(leq(n0, 444 ^ [_222872, _222874]))], (452 ^ _207098) ^ [] : [-(leq(444 ^ [_222872, _222874], _222872))], (454 ^ _207098) ^ [] : [a_select3(_222874, 443 ^ [_222872, _222874], 444 ^ [_222872, _222874]) = a_select3(_222874, 444 ^ [_222872, _222874], 443 ^ [_222872, _222874])]], 455 ^ _207098 : [(456 ^ _207098) ^ [_223629, _223631] : [-(a_select3(inv(_222874), _223631, _223629) = a_select3(inv(_222874), _223629, _223631)), leq(n0, _223631), leq(_223631, _222872), leq(n0, _223629), leq(_223629, _222872)]]], (474 ^ _207098) ^ [_224176, _224178] : [477 ^ _207098 : [(478 ^ _207098) ^ [] : [-(leq(n0, 475 ^ [_224176, _224178]))], (480 ^ _207098) ^ [] : [-(leq(475 ^ [_224176, _224178], _224176))], (482 ^ _207098) ^ [] : [-(leq(n0, 476 ^ [_224176, _224178]))], (484 ^ _207098) ^ [] : [-(leq(476 ^ [_224176, _224178], _224176))], (486 ^ _207098) ^ [] : [a_select3(_224178, 475 ^ [_224176, _224178], 476 ^ [_224176, _224178]) = a_select3(_224178, 476 ^ [_224176, _224178], 475 ^ [_224176, _224178])]], 487 ^ _207098 : [(488 ^ _207098) ^ [_224989, _224991, _224993, _224995] : [-(a_select3(tptp_update3(_224178, _224991, _224991, _224989), _224995, _224993) = a_select3(tptp_update3(_224178, _224991, _224991, _224989), _224993, _224995)), leq(n0, _224995), leq(_224995, _224176), leq(n0, _224993), leq(_224993, _224176), leq(n0, _224991), leq(_224991, _224176)]]], (514 ^ _207098) ^ [_225808, _225810, _225812] : [519 ^ _207098 : [(520 ^ _207098) ^ [] : [-(leq(n0, 517 ^ [_225808, _225810, _225812]))], (522 ^ _207098) ^ [] : [-(leq(517 ^ [_225808, _225810, _225812], _225808))], (524 ^ _207098) ^ [] : [-(leq(n0, 518 ^ [_225808, _225810, _225812]))], (526 ^ _207098) ^ [] : [-(leq(518 ^ [_225808, _225810, _225812], _225808))], (528 ^ _207098) ^ [] : [a_select3(_225812, 517 ^ [_225808, _225810, _225812], 518 ^ [_225808, _225810, _225812]) = a_select3(_225812, 518 ^ [_225808, _225810, _225812], 517 ^ [_225808, _225810, _225812])]], 531 ^ _207098 : [(532 ^ _207098) ^ [] : [-(leq(n0, 529 ^ [_225808, _225810, _225812]))], (534 ^ _207098) ^ [] : [-(leq(529 ^ [_225808, _225810, _225812], _225808))], (536 ^ _207098) ^ [] : [-(leq(n0, 530 ^ [_225808, _225810, _225812]))], (538 ^ _207098) ^ [] : [-(leq(530 ^ [_225808, _225810, _225812], _225808))], (540 ^ _207098) ^ [] : [a_select3(_225810, 529 ^ [_225808, _225810, _225812], 530 ^ [_225808, _225810, _225812]) = a_select3(_225810, 530 ^ [_225808, _225810, _225812], 529 ^ [_225808, _225810, _225812])]], 541 ^ _207098 : [(542 ^ _207098) ^ [_227317, _227319] : [-(a_select3(tptp_madd(_225812, _225810), _227319, _227317) = a_select3(tptp_madd(_225812, _225810), _227317, _227319)), leq(n0, _227319), leq(_227319, _225808), leq(n0, _227317), leq(_227317, _225808)]]], (560 ^ _207098) ^ [_227903, _227905, _227907] : [565 ^ _207098 : [(566 ^ _207098) ^ [] : [-(leq(n0, 563 ^ [_227903, _227905, _227907]))], (568 ^ _207098) ^ [] : [-(leq(563 ^ [_227903, _227905, _227907], _227903))], (570 ^ _207098) ^ [] : [-(leq(n0, 564 ^ [_227903, _227905, _227907]))], (572 ^ _207098) ^ [] : [-(leq(564 ^ [_227903, _227905, _227907], _227903))], (574 ^ _207098) ^ [] : [a_select3(_227907, 563 ^ [_227903, _227905, _227907], 564 ^ [_227903, _227905, _227907]) = a_select3(_227907, 564 ^ [_227903, _227905, _227907], 563 ^ [_227903, _227905, _227907])]], 577 ^ _207098 : [(578 ^ _207098) ^ [] : [-(leq(n0, 575 ^ [_227903, _227905, _227907]))], (580 ^ _207098) ^ [] : [-(leq(575 ^ [_227903, _227905, _227907], _227903))], (582 ^ _207098) ^ [] : [-(leq(n0, 576 ^ [_227903, _227905, _227907]))], (584 ^ _207098) ^ [] : [-(leq(576 ^ [_227903, _227905, _227907], _227903))], (586 ^ _207098) ^ [] : [a_select3(_227905, 575 ^ [_227903, _227905, _227907], 576 ^ [_227903, _227905, _227907]) = a_select3(_227905, 576 ^ [_227903, _227905, _227907], 575 ^ [_227903, _227905, _227907])]], 587 ^ _207098 : [(588 ^ _207098) ^ [_229412, _229414] : [-(a_select3(tptp_msub(_227907, _227905), _229414, _229412) = a_select3(tptp_msub(_227907, _227905), _229412, _229414)), leq(n0, _229414), leq(_229414, _227903), leq(n0, _229412), leq(_229412, _227903)]]], (606 ^ _207098) ^ [_229998, _230000, _230002] : [609 ^ _207098 : [(610 ^ _207098) ^ [] : [-(leq(n0, 607 ^ [_229998, _230000, _230002]))], (612 ^ _207098) ^ [] : [-(leq(607 ^ [_229998, _230000, _230002], _229998))], (614 ^ _207098) ^ [] : [-(leq(n0, 608 ^ [_229998, _230000, _230002]))], (616 ^ _207098) ^ [] : [-(leq(608 ^ [_229998, _230000, _230002], _229998))], (618 ^ _207098) ^ [] : [a_select3(_230000, 607 ^ [_229998, _230000, _230002], 608 ^ [_229998, _230000, _230002]) = a_select3(_230000, 608 ^ [_229998, _230000, _230002], 607 ^ [_229998, _230000, _230002])]], 619 ^ _207098 : [(620 ^ _207098) ^ [_230811, _230813] : [-(a_select3(tptp_mmul(_230002, tptp_mmul(_230000, trans(_230002))), _230813, _230811) = a_select3(tptp_mmul(_230002, tptp_mmul(_230000, trans(_230002))), _230811, _230813)), leq(n0, _230813), leq(_230813, _229998), leq(n0, _230811), leq(_230811, _229998)]]], (638 ^ _207098) ^ [_231430, _231432, _231434, _231436] : [641 ^ _207098 : [(642 ^ _207098) ^ [] : [-(leq(n0, 639 ^ [_231430, _231432, _231434, _231436]))], (644 ^ _207098) ^ [] : [-(leq(639 ^ [_231430, _231432, _231434, _231436], _231430))], (646 ^ _207098) ^ [] : [-(leq(n0, 640 ^ [_231430, _231432, _231434, _231436]))], (648 ^ _207098) ^ [] : [-(leq(640 ^ [_231430, _231432, _231434, _231436], _231430))], (650 ^ _207098) ^ [] : [a_select3(_231434, 639 ^ [_231430, _231432, _231434, _231436], 640 ^ [_231430, _231432, _231434, _231436]) = a_select3(_231434, 640 ^ [_231430, _231432, _231434, _231436], 639 ^ [_231430, _231432, _231434, _231436])]], 651 ^ _207098 : [(652 ^ _207098) ^ [_232287, _232289] : [-(a_select3(tptp_mmul(_231436, tptp_mmul(_231434, trans(_231436))), _232289, _232287) = a_select3(tptp_mmul(_231436, tptp_mmul(_231434, trans(_231436))), _232287, _232289)), leq(n0, _232289), leq(_232289, _231432), leq(n0, _232287), leq(_232287, _231432)]]], (670 ^ _207098) ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996] : [675 ^ _207098 : [(676 ^ _207098) ^ [] : [-(leq(n0, 673 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]))], (678 ^ _207098) ^ [] : [-(leq(673 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], _232982))], (680 ^ _207098) ^ [] : [-(leq(n0, 674 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]))], (682 ^ _207098) ^ [] : [-(leq(674 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], _232982))], (684 ^ _207098) ^ [] : [a_select3(_232990, 673 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], 674 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]) = a_select3(_232990, 674 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], 673 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996])]], 689 ^ _207098 : [(690 ^ _207098) ^ [] : [-(leq(n0, 687 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]))], (692 ^ _207098) ^ [] : [-(leq(687 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], _232984))], (694 ^ _207098) ^ [] : [-(leq(n0, 688 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]))], (696 ^ _207098) ^ [] : [-(leq(688 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], _232984))], (698 ^ _207098) ^ [] : [a_select3(_232996, 687 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], 688 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]) = a_select3(_232996, 688 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], 687 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996])]], 701 ^ _207098 : [(702 ^ _207098) ^ [] : [-(leq(n0, 699 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]))], (704 ^ _207098) ^ [] : [-(leq(699 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], _232984))], (706 ^ _207098) ^ [] : [-(leq(n0, 700 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]))], (708 ^ _207098) ^ [] : [-(leq(700 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], _232984))], (710 ^ _207098) ^ [] : [a_select3(_232986, 699 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], 700 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996]) = a_select3(_232986, 700 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996], 699 ^ [_232982, _232984, _232986, _232988, _232990, _232992, _232994, _232996])]], 711 ^ _207098 : [(712 ^ _207098) ^ [_235910, _235912] : [-(a_select3(tptp_madd(_232996, tptp_mmul(_232994, tptp_mmul(tptp_madd(tptp_mmul(_232992, tptp_mmul(_232990, trans(_232992))), tptp_mmul(_232988, tptp_mmul(_232986, trans(_232988)))), trans(_232994)))), _235912, _235910) = a_select3(tptp_madd(_232996, tptp_mmul(_232994, tptp_mmul(tptp_madd(tptp_mmul(_232992, tptp_mmul(_232990, trans(_232992))), tptp_mmul(_232988, tptp_mmul(_232986, trans(_232988)))), trans(_232994)))), _235910, _235912)), leq(n0, _235912), leq(_235912, _232984), leq(n0, _235910), leq(_235910, _232984)]]], (730 ^ _207098) ^ [_236663] : [-(sum(n0, tptp_minus_1, _236663) = n0)], (732 ^ _207098) ^ [_236745] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _236745))], (734 ^ _207098) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _207098) ^ [_236880] : [-(plus(_236880, n1) = succ(_236880))], (738 ^ _207098) ^ [_236963] : [-(plus(n1, _236963) = succ(_236963))], (740 ^ _207098) ^ [_237046] : [-(plus(_237046, n2) = succ(succ(_237046)))], (742 ^ _207098) ^ [_237131] : [-(plus(n2, _237131) = succ(succ(_237131)))], (744 ^ _207098) ^ [_237216] : [-(plus(_237216, n3) = succ(succ(succ(_237216))))], (746 ^ _207098) ^ [_237303] : [-(plus(n3, _237303) = succ(succ(succ(_237303))))], (748 ^ _207098) ^ [_237390] : [-(plus(_237390, n4) = succ(succ(succ(succ(_237390)))))], (750 ^ _207098) ^ [_237479] : [-(plus(n4, _237479) = succ(succ(succ(succ(_237479)))))], (752 ^ _207098) ^ [_237568] : [-(plus(_237568, n5) = succ(succ(succ(succ(succ(_237568))))))], (754 ^ _207098) ^ [_237659] : [-(plus(n5, _237659) = succ(succ(succ(succ(succ(_237659))))))], (756 ^ _207098) ^ [_237750] : [-(minus(_237750, n1) = pred(_237750))], (758 ^ _207098) ^ [_237833] : [-(pred(succ(_237833)) = _237833)], (760 ^ _207098) ^ [_237915] : [-(succ(pred(_237915)) = _237915)], (762 ^ _207098) ^ [_238055, _238057] : [leq(succ(_238057), succ(_238055)), -(leq(_238057, _238055))], (768 ^ _207098) ^ [_238225, _238227] : [leq(_238227, _238225), -(leq(succ(_238227), succ(_238225)))], (774 ^ _207098) ^ [_238445, _238447] : [leq(succ(_238447), _238445), -(gt(_238445, _238447))], (780 ^ _207098) ^ [_238659, _238661] : [leq(minus(_238661, _238659), _238661), -(leq(n0, _238659))], (786 ^ _207098) ^ [_238888, _238890, _238892, _238894] : [-(a_select3(tptp_update3(_238894, _238892, _238890, _238888), _238892, _238890) = _238888)], (788 ^ _207098) ^ [_239080, _239082, _239084, _239086, _239088, _239090, _239092] : [-(a_select3(tptp_update3(_239084, _239092, _239090, _239080), _239088, _239086) = _239082), -(_239092 = _239088), _239090 = _239086, a_select3(_239084, _239088, _239086) = _239082], (802 ^ _207098) ^ [_239623, _239625, _239627, _239629, _239631, _239633] : [-(a_select3(tptp_update3(_239625, _239629, _239627, _239623), _239633, _239631) = _239623), 807 ^ _207098 : [(808 ^ _207098) ^ [] : [-(leq(n0, 805 ^ [_239623, _239625, _239627, _239629, _239631, _239633]))], (810 ^ _207098) ^ [] : [-(leq(n0, 806 ^ [_239623, _239625, _239627, _239629, _239631, _239633]))], (812 ^ _207098) ^ [] : [-(leq(805 ^ [_239623, _239625, _239627, _239629, _239631, _239633], _239629))], (814 ^ _207098) ^ [] : [-(leq(806 ^ [_239623, _239625, _239627, _239629, _239631, _239633], _239627))], (816 ^ _207098) ^ [] : [a_select3(_239625, 805 ^ [_239623, _239625, _239627, _239629, _239631, _239633], 806 ^ [_239623, _239625, _239627, _239629, _239631, _239633]) = _239623]], leq(n0, _239633), leq(_239633, _239629), leq(n0, _239631), leq(_239631, _239627)], (834 ^ _207098) ^ [_240965, _240967, _240969] : [-(a_select2(tptp_update2(_240969, _240967, _240965), _240967) = _240965)], (836 ^ _207098) ^ [_241125, _241127, _241129, _241131, _241133] : [-(a_select2(tptp_update2(_241129, _241133, _241125), _241131) = _241127), -(_241133 = _241131), a_select2(_241129, _241131) = _241127], (865 ^ _207098) ^ [] : [-(true)], (867 ^ _207098) ^ [] : [def = use], (846 ^ _207098) ^ [_241505, _241507, _241509, _241511] : [-(a_select2(tptp_update2(_241507, _241509, _241505), _241511) = _241505), 850 ^ _207098 : [(851 ^ _207098) ^ [] : [-(leq(n0, 849 ^ [_241505, _241507, _241509, _241511]))], (853 ^ _207098) ^ [] : [-(leq(849 ^ [_241505, _241507, _241509, _241511], _241509))], (855 ^ _207098) ^ [] : [a_select2(_241507, 849 ^ [_241505, _241507, _241509, _241511]) = _241505]], leq(n0, _241511), leq(_241511, _241509)]], input).
% 0.35/1.40  ncf('1',plain,[a_select3(q_init, pv30, pv28) = init],start(1143 ^ 0)).
% 0.35/1.40  ncf('1.1',plain,[-(a_select3(q_init, pv30, pv28) = init), 1071 : leq(n0, pv28), 1071 : leq(pv28, n4), 1071 : leq(n0, pv30), 1071 : leq(pv30, n135299)],extension(1063 ^ 1,bind([[_247626, _247854], [pv30, pv28]]))).
% 0.35/1.40  ncf('1.1.1',plain,[-(leq(n0, pv28))],extension(1055 ^ 4)).
% 0.35/1.40  ncf('1.1.2',plain,[-(leq(pv28, n4))],extension(1059 ^ 4)).
% 0.35/1.40  ncf('1.1.3',plain,[-(leq(n0, pv30))],extension(1057 ^ 2)).
% 0.35/1.40  ncf('1.1.4',plain,[-(leq(pv30, n135299))],extension(1061 ^ 2)).
% 0.35/1.40  %-----------------------------------------------------
% 0.35/1.40  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------