%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n006.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 02:09:06 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(1165 ^ _209994) ^ [] : [a_select3(q_init, pv46, pv40) = init], (1055 ^ _209994) ^ [] : [-(a_select2(mu_init, pv40) = init)], (1057 ^ _209994) ^ [] : [-(leq(n0, pv40))], (1059 ^ _209994) ^ [] : [-(leq(n0, pv46))], (1061 ^ _209994) ^ [] : [-(leq(pv40, n4))], (1063 ^ _209994) ^ [] : [-(leq(pv46, n135299))], (1065 ^ _209994) ^ [_250575] : [leq(n0, _250575), leq(_250575, n135299), 1072 ^ _209994 : [(1073 ^ _209994) ^ [_250803] : [-(a_select3(q_init, _250575, _250803) = init), leq(n0, _250803), leq(_250803, n4)]]], (1083 ^ _209994) ^ [_251105] : [-(a_select2(rho_init, _251105) = init), leq(n0, _251105), leq(_251105, n4)], (1093 ^ _209994) ^ [_251386] : [-(a_select2(mu_init, _251386) = init), leq(n0, _251386), leq(_251386, pred(pv40))], (1103 ^ _209994) ^ [_251667] : [-(a_select2(sigma_init, _251667) = init), leq(n0, _251667), leq(_251667, pred(pv40))], (1113 ^ _209994) ^ [_251948] : [-(a_select3(center_init, _251948, n0) = init), leq(n0, _251948), leq(_251948, n4)], (1123 ^ _209994) ^ [] : [gt(loopcounter, n1), 1126 ^ _209994 : [(1127 ^ _209994) ^ [_252293] : [-(a_select2(muold_init, _252293) = init), leq(n0, _252293), leq(_252293, n4)]]], (1137 ^ _209994) ^ [] : [gt(loopcounter, n1), 1140 ^ _209994 : [(1141 ^ _209994) ^ [_252641] : [-(a_select2(rhoold_init, _252641) = init), leq(n0, _252641), leq(_252641, n4)]]], (1151 ^ _209994) ^ [] : [gt(loopcounter, n1), 1154 ^ _209994 : [(1155 ^ _209994) ^ [_252969] : [-(a_select2(sigmaold_init, _252969) = init), leq(n0, _252969), leq(_252969, n4)]]], (2 ^ _209994) ^ [_210138] : [-(_210138 = _210138)], (4 ^ _209994) ^ [_210245, _210247] : [_210247 = _210245, -(_210245 = _210247)], (10 ^ _209994) ^ [_210449, _210451, _210453] : [-(_210453 = _210449), _210453 = _210451, _210451 = _210449], (20 ^ _209994) ^ [_210790, _210792, _210794, _210796] : [-(lt(_210794, _210790)), lt(_210796, _210792), _210796 = _210794, _210792 = _210790], (34 ^ _209994) ^ [_211234, _211236, _211238, _211240] : [-(geq(_211238, _211234)), geq(_211240, _211236), _211240 = _211238, _211236 = _211234], (48 ^ _209994) ^ [_211678, _211680, _211682, _211684] : [-(gt(_211682, _211678)), gt(_211684, _211680), _211684 = _211682, _211680 = _211678], (62 ^ _209994) ^ [_212102, _212104, _212106, _212108] : [-(leq(_212106, _212102)), leq(_212108, _212104), _212108 = _212106, _212104 = _212102], (76 ^ _209994) ^ [_212558, _212560, _212562, _212564] : [-(uniform_int_rnd(_212564, _212560) = uniform_int_rnd(_212562, _212558)), _212564 = _212562, _212560 = _212558], (86 ^ _209994) ^ [_212917, _212919, _212921, _212923] : [-(tptp_const_array1(_212923, _212919) = tptp_const_array1(_212921, _212917)), _212923 = _212921, _212919 = _212917], (96 ^ _209994) ^ [_213304, _213306, _213308, _213310, _213312, _213314] : [-(tptp_const_array2(_213314, _213310, _213306) = tptp_const_array2(_213312, _213308, _213304)), _213314 = _213312, _213310 = _213308, _213306 = _213304], (110 ^ _209994) ^ [_213792, _213794, _213796, _213798] : [-(dim(_213798, _213794) = dim(_213796, _213792)), _213798 = _213796, _213794 = _213792], (120 ^ _209994) ^ [_214123, _214125] : [_214125 = _214123, -(inv(_214125) = inv(_214123))], (126 ^ _209994) ^ [_214369, _214371, _214373, _214375] : [-(tptp_msub(_214375, _214371) = tptp_msub(_214373, _214369)), _214375 = _214373, _214371 = _214369], (136 ^ _209994) ^ [_214728, _214730, _214732, _214734] : [-(tptp_madd(_214734, _214730) = tptp_madd(_214732, _214728)), _214734 = _214732, _214730 = _214728], (146 ^ _209994) ^ [_215087, _215089, _215091, _215093] : [-(tptp_mmul(_215093, _215089) = tptp_mmul(_215091, _215087)), _215093 = _215091, _215089 = _215087], (156 ^ _209994) ^ [_215418, _215420] : [_215420 = _215418, -(trans(_215420) = trans(_215418))], (162 ^ _209994) ^ [_215692, _215694, _215696, _215698, _215700, _215702] : [-(sum(_215702, _215698, _215694) = sum(_215700, _215696, _215692)), _215702 = _215700, _215698 = _215696, _215694 = _215692], (176 ^ _209994) ^ [_216180, _216182, _216184, _216186] : [-(plus(_216186, _216182) = plus(_216184, _216180)), _216186 = _216184, _216182 = _216180], (186 ^ _209994) ^ [_216539, _216541, _216543, _216545] : [-(minus(_216545, _216541) = minus(_216543, _216539)), _216545 = _216543, _216541 = _216539], (196 ^ _209994) ^ [_216954, _216956, _216958, _216960, _216962, _216964, _216966, _216968] : [-(tptp_update3(_216968, _216964, _216960, _216956) = tptp_update3(_216966, _216962, _216958, _216954)), _216968 = _216966, _216964 = _216962, _216960 = _216958, _216956 = _216954], (214 ^ _209994) ^ [_217615, _217617, _217619, _217621, _217623, _217625] : [-(tptp_update2(_217625, _217621, _217617) = tptp_update2(_217623, _217619, _217615)), _217625 = _217623, _217621 = _217619, _217617 = _217615], (228 ^ _209994) ^ [_218075, _218077] : [_218077 = _218075, -(succ(_218077) = succ(_218075))], (234 ^ _209994) ^ [_218293, _218295] : [_218295 = _218293, -(pred(_218295) = pred(_218293))], (240 ^ _209994) ^ [_218539, _218541, _218543, _218545] : [-(a_select2(_218545, _218541) = a_select2(_218543, _218539)), _218545 = _218543, _218541 = _218539], (250 ^ _209994) ^ [_218906, _218908, _218910, _218912, _218914, _218916] : [-(a_select3(_218916, _218912, _218908) = a_select3(_218914, _218910, _218906)), _218916 = _218914, _218912 = _218910, _218908 = _218906], (869 ^ _209994) ^ [] : [-(gt(n5, n4))], (871 ^ _209994) ^ [] : [-(gt(n135299, n4))], (873 ^ _209994) ^ [] : [-(gt(n135299, n5))], (875 ^ _209994) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _209994) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _209994) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _209994) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _209994) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _209994) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _209994) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _209994) ^ [] : [-(gt(n4, n0))], (891 ^ _209994) ^ [] : [-(gt(n5, n0))], (893 ^ _209994) ^ [] : [-(gt(n135299, n0))], (895 ^ _209994) ^ [] : [-(gt(n1, n0))], (897 ^ _209994) ^ [] : [-(gt(n2, n0))], (899 ^ _209994) ^ [] : [-(gt(n3, n0))], (901 ^ _209994) ^ [] : [-(gt(n4, n1))], (903 ^ _209994) ^ [] : [-(gt(n5, n1))], (905 ^ _209994) ^ [] : [-(gt(n135299, n1))], (907 ^ _209994) ^ [] : [-(gt(n2, n1))], (909 ^ _209994) ^ [] : [-(gt(n3, n1))], (911 ^ _209994) ^ [] : [-(gt(n4, n2))], (913 ^ _209994) ^ [] : [-(gt(n5, n2))], (915 ^ _209994) ^ [] : [-(gt(n135299, n2))], (917 ^ _209994) ^ [] : [-(gt(n3, n2))], (919 ^ _209994) ^ [] : [-(gt(n4, n3))], (921 ^ _209994) ^ [] : [-(gt(n5, n3))], (923 ^ _209994) ^ [] : [-(gt(n135299, n3))], (925 ^ _209994) ^ [_246875] : [leq(n0, _246875), leq(_246875, n4), -(_246875 = n0), -(_246875 = n1), -(_246875 = n2), -(_246875 = n3), -(_246875 = n4)], (951 ^ _209994) ^ [_247496] : [leq(n0, _247496), leq(_247496, n5), -(_247496 = n0), -(_247496 = n1), -(_247496 = n2), -(_247496 = n3), -(_247496 = n4), -(_247496 = n5)], (981 ^ _209994) ^ [_248203] : [-(_248203 = n0), leq(n0, _248203), leq(_248203, n0)], (991 ^ _209994) ^ [_248478] : [leq(n0, _248478), leq(_248478, n1), -(_248478 = n0), -(_248478 = n1)], (1005 ^ _209994) ^ [_248841] : [leq(n0, _248841), leq(_248841, n2), -(_248841 = n0), -(_248841 = n1), -(_248841 = n2)], (1045 ^ _209994) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _209994) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _209994) ^ [] : [-(succ(n0) = n1)], (1051 ^ _209994) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _209994) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _209994) ^ [_249290] : [leq(n0, _249290), leq(_249290, n3), -(_249290 = n0), -(_249290 = n1), -(_249290 = n2), -(_249290 = n3)], (264 ^ _209994) ^ [_219466, _219468] : [-(gt(_219468, _219466)), -(gt(_219466, _219468)), -(_219468 = _219466)], (274 ^ _209994) ^ [_219781, _219783, _219785] : [-(gt(_219785, _219781)), gt(_219785, _219783), gt(_219783, _219781)], (284 ^ _209994) ^ [_220060] : [gt(_220060, _220060)], (286 ^ _209994) ^ [_220138] : [-(leq(_220138, _220138))], (288 ^ _209994) ^ [_220259, _220261, _220263] : [-(leq(_220263, _220259)), leq(_220263, _220261), leq(_220261, _220259)], (298 ^ _209994) ^ [_220597, _220599] : [lt(_220599, _220597), -(gt(_220597, _220599))], (304 ^ _209994) ^ [_220759, _220761] : [gt(_220759, _220761), -(lt(_220761, _220759))], (310 ^ _209994) ^ [_221000, _221002] : [geq(_221002, _221000), -(leq(_221000, _221002))], (316 ^ _209994) ^ [_221162, _221164] : [leq(_221162, _221164), -(geq(_221164, _221162))], (322 ^ _209994) ^ [_221374, _221376] : [gt(_221374, _221376), -(leq(_221376, _221374))], (328 ^ _209994) ^ [_221584, _221586] : [-(gt(_221584, _221586)), leq(_221586, _221584), -(_221586 = _221584)], (338 ^ _209994) ^ [_221915, _221917] : [leq(_221917, pred(_221915)), -(gt(_221915, _221917))], (344 ^ _209994) ^ [_222081, _222083] : [gt(_222081, _222083), -(leq(_222083, pred(_222081)))], (350 ^ _209994) ^ [_222268] : [-(gt(succ(_222268), _222268))], (352 ^ _209994) ^ [_222377, _222379] : [leq(_222379, _222377), -(leq(_222379, succ(_222377)))], (358 ^ _209994) ^ [_222620, _222622] : [leq(_222622, _222620), -(gt(succ(_222620), _222622))], (364 ^ _209994) ^ [_222786, _222788] : [gt(succ(_222786), _222788), -(leq(_222788, _222786))], (370 ^ _209994) ^ [_223002, _223004] : [leq(n0, _223004), -(leq(uniform_int_rnd(_223002, _223004), _223004))], (376 ^ _209994) ^ [_223218, _223220] : [leq(n0, _223220), -(leq(n0, uniform_int_rnd(_223218, _223220)))], (382 ^ _209994) ^ [_223462, _223464, _223466, _223468] : [-(a_select2(tptp_const_array1(dim(_223466, _223464), _223462), _223468) = _223462), leq(_223466, _223468), leq(_223468, _223464)], (392 ^ _209994) ^ [_223869, _223871, _223873, _223875, _223877, _223879, _223881] : [-(a_select3(tptp_const_array2(dim(_223879, _223877), dim(_223873, _223871), _223869), _223881, _223875) = _223869), leq(_223879, _223881), leq(_223881, _223877), leq(_223873, _223875), leq(_223875, _223871)], (410 ^ _209994) ^ [_224464, _224466] : [413 ^ _209994 : [(414 ^ _209994) ^ [] : [-(leq(n0, 411 ^ [_224464, _224466]))], (416 ^ _209994) ^ [] : [-(leq(411 ^ [_224464, _224466], _224464))], (418 ^ _209994) ^ [] : [-(leq(n0, 412 ^ [_224464, _224466]))], (420 ^ _209994) ^ [] : [-(leq(412 ^ [_224464, _224466], _224464))], (422 ^ _209994) ^ [] : [a_select3(_224466, 411 ^ [_224464, _224466], 412 ^ [_224464, _224466]) = a_select3(_224466, 412 ^ [_224464, _224466], 411 ^ [_224464, _224466])]], 423 ^ _209994 : [(424 ^ _209994) ^ [_225221, _225223] : [-(a_select3(trans(_224466), _225223, _225221) = a_select3(trans(_224466), _225221, _225223)), leq(n0, _225223), leq(_225223, _224464), leq(n0, _225221), leq(_225221, _224464)]]], (442 ^ _209994) ^ [_225768, _225770] : [445 ^ _209994 : [(446 ^ _209994) ^ [] : [-(leq(n0, 443 ^ [_225768, _225770]))], (448 ^ _209994) ^ [] : [-(leq(443 ^ [_225768, _225770], _225768))], (450 ^ _209994) ^ [] : [-(leq(n0, 444 ^ [_225768, _225770]))], (452 ^ _209994) ^ [] : [-(leq(444 ^ [_225768, _225770], _225768))], (454 ^ _209994) ^ [] : [a_select3(_225770, 443 ^ [_225768, _225770], 444 ^ [_225768, _225770]) = a_select3(_225770, 444 ^ [_225768, _225770], 443 ^ [_225768, _225770])]], 455 ^ _209994 : [(456 ^ _209994) ^ [_226525, _226527] : [-(a_select3(inv(_225770), _226527, _226525) = a_select3(inv(_225770), _226525, _226527)), leq(n0, _226527), leq(_226527, _225768), leq(n0, _226525), leq(_226525, _225768)]]], (474 ^ _209994) ^ [_227072, _227074] : [477 ^ _209994 : [(478 ^ _209994) ^ [] : [-(leq(n0, 475 ^ [_227072, _227074]))], (480 ^ _209994) ^ [] : [-(leq(475 ^ [_227072, _227074], _227072))], (482 ^ _209994) ^ [] : [-(leq(n0, 476 ^ [_227072, _227074]))], (484 ^ _209994) ^ [] : [-(leq(476 ^ [_227072, _227074], _227072))], (486 ^ _209994) ^ [] : [a_select3(_227074, 475 ^ [_227072, _227074], 476 ^ [_227072, _227074]) = a_select3(_227074, 476 ^ [_227072, _227074], 475 ^ [_227072, _227074])]], 487 ^ _209994 : [(488 ^ _209994) ^ [_227885, _227887, _227889, _227891] : [-(a_select3(tptp_update3(_227074, _227887, _227887, _227885), _227891, _227889) = a_select3(tptp_update3(_227074, _227887, _227887, _227885), _227889, _227891)), leq(n0, _227891), leq(_227891, _227072), leq(n0, _227889), leq(_227889, _227072), leq(n0, _227887), leq(_227887, _227072)]]], (514 ^ _209994) ^ [_228704, _228706, _228708] : [519 ^ _209994 : [(520 ^ _209994) ^ [] : [-(leq(n0, 517 ^ [_228704, _228706, _228708]))], (522 ^ _209994) ^ [] : [-(leq(517 ^ [_228704, _228706, _228708], _228704))], (524 ^ _209994) ^ [] : [-(leq(n0, 518 ^ [_228704, _228706, _228708]))], (526 ^ _209994) ^ [] : [-(leq(518 ^ [_228704, _228706, _228708], _228704))], (528 ^ _209994) ^ [] : [a_select3(_228708, 517 ^ [_228704, _228706, _228708], 518 ^ [_228704, _228706, _228708]) = a_select3(_228708, 518 ^ [_228704, _228706, _228708], 517 ^ [_228704, _228706, _228708])]], 531 ^ _209994 : [(532 ^ _209994) ^ [] : [-(leq(n0, 529 ^ [_228704, _228706, _228708]))], (534 ^ _209994) ^ [] : [-(leq(529 ^ [_228704, _228706, _228708], _228704))], (536 ^ _209994) ^ [] : [-(leq(n0, 530 ^ [_228704, _228706, _228708]))], (538 ^ _209994) ^ [] : [-(leq(530 ^ [_228704, _228706, _228708], _228704))], (540 ^ _209994) ^ [] : [a_select3(_228706, 529 ^ [_228704, _228706, _228708], 530 ^ [_228704, _228706, _228708]) = a_select3(_228706, 530 ^ [_228704, _228706, _228708], 529 ^ [_228704, _228706, _228708])]], 541 ^ _209994 : [(542 ^ _209994) ^ [_230213, _230215] : [-(a_select3(tptp_madd(_228708, _228706), _230215, _230213) = a_select3(tptp_madd(_228708, _228706), _230213, _230215)), leq(n0, _230215), leq(_230215, _228704), leq(n0, _230213), leq(_230213, _228704)]]], (560 ^ _209994) ^ [_230799, _230801, _230803] : [565 ^ _209994 : [(566 ^ _209994) ^ [] : [-(leq(n0, 563 ^ [_230799, _230801, _230803]))], (568 ^ _209994) ^ [] : [-(leq(563 ^ [_230799, _230801, _230803], _230799))], (570 ^ _209994) ^ [] : [-(leq(n0, 564 ^ [_230799, _230801, _230803]))], (572 ^ _209994) ^ [] : [-(leq(564 ^ [_230799, _230801, _230803], _230799))], (574 ^ _209994) ^ [] : [a_select3(_230803, 563 ^ [_230799, _230801, _230803], 564 ^ [_230799, _230801, _230803]) = a_select3(_230803, 564 ^ [_230799, _230801, _230803], 563 ^ [_230799, _230801, _230803])]], 577 ^ _209994 : [(578 ^ _209994) ^ [] : [-(leq(n0, 575 ^ [_230799, _230801, _230803]))], (580 ^ _209994) ^ [] : [-(leq(575 ^ [_230799, _230801, _230803], _230799))], (582 ^ _209994) ^ [] : [-(leq(n0, 576 ^ [_230799, _230801, _230803]))], (584 ^ _209994) ^ [] : [-(leq(576 ^ [_230799, _230801, _230803], _230799))], (586 ^ _209994) ^ [] : [a_select3(_230801, 575 ^ [_230799, _230801, _230803], 576 ^ [_230799, _230801, _230803]) = a_select3(_230801, 576 ^ [_230799, _230801, _230803], 575 ^ [_230799, _230801, _230803])]], 587 ^ _209994 : [(588 ^ _209994) ^ [_232308, _232310] : [-(a_select3(tptp_msub(_230803, _230801), _232310, _232308) = a_select3(tptp_msub(_230803, _230801), _232308, _232310)), leq(n0, _232310), leq(_232310, _230799), leq(n0, _232308), leq(_232308, _230799)]]], (606 ^ _209994) ^ [_232894, _232896, _232898] : [609 ^ _209994 : [(610 ^ _209994) ^ [] : [-(leq(n0, 607 ^ [_232894, _232896, _232898]))], (612 ^ _209994) ^ [] : [-(leq(607 ^ [_232894, _232896, _232898], _232894))], (614 ^ _209994) ^ [] : [-(leq(n0, 608 ^ [_232894, _232896, _232898]))], (616 ^ _209994) ^ [] : [-(leq(608 ^ [_232894, _232896, _232898], _232894))], (618 ^ _209994) ^ [] : [a_select3(_232896, 607 ^ [_232894, _232896, _232898], 608 ^ [_232894, _232896, _232898]) = a_select3(_232896, 608 ^ [_232894, _232896, _232898], 607 ^ [_232894, _232896, _232898])]], 619 ^ _209994 : [(620 ^ _209994) ^ [_233707, _233709] : [-(a_select3(tptp_mmul(_232898, tptp_mmul(_232896, trans(_232898))), _233709, _233707) = a_select3(tptp_mmul(_232898, tptp_mmul(_232896, trans(_232898))), _233707, _233709)), leq(n0, _233709), leq(_233709, _232894), leq(n0, _233707), leq(_233707, _232894)]]], (638 ^ _209994) ^ [_234326, _234328, _234330, _234332] : [641 ^ _209994 : [(642 ^ _209994) ^ [] : [-(leq(n0, 639 ^ [_234326, _234328, _234330, _234332]))], (644 ^ _209994) ^ [] : [-(leq(639 ^ [_234326, _234328, _234330, _234332], _234326))], (646 ^ _209994) ^ [] : [-(leq(n0, 640 ^ [_234326, _234328, _234330, _234332]))], (648 ^ _209994) ^ [] : [-(leq(640 ^ [_234326, _234328, _234330, _234332], _234326))], (650 ^ _209994) ^ [] : [a_select3(_234330, 639 ^ [_234326, _234328, _234330, _234332], 640 ^ [_234326, _234328, _234330, _234332]) = a_select3(_234330, 640 ^ [_234326, _234328, _234330, _234332], 639 ^ [_234326, _234328, _234330, _234332])]], 651 ^ _209994 : [(652 ^ _209994) ^ [_235183, _235185] : [-(a_select3(tptp_mmul(_234332, tptp_mmul(_234330, trans(_234332))), _235185, _235183) = a_select3(tptp_mmul(_234332, tptp_mmul(_234330, trans(_234332))), _235183, _235185)), leq(n0, _235185), leq(_235185, _234328), leq(n0, _235183), leq(_235183, _234328)]]], (670 ^ _209994) ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892] : [675 ^ _209994 : [(676 ^ _209994) ^ [] : [-(leq(n0, 673 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]))], (678 ^ _209994) ^ [] : [-(leq(673 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], _235878))], (680 ^ _209994) ^ [] : [-(leq(n0, 674 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]))], (682 ^ _209994) ^ [] : [-(leq(674 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], _235878))], (684 ^ _209994) ^ [] : [a_select3(_235886, 673 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], 674 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]) = a_select3(_235886, 674 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], 673 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892])]], 689 ^ _209994 : [(690 ^ _209994) ^ [] : [-(leq(n0, 687 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]))], (692 ^ _209994) ^ [] : [-(leq(687 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], _235880))], (694 ^ _209994) ^ [] : [-(leq(n0, 688 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]))], (696 ^ _209994) ^ [] : [-(leq(688 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], _235880))], (698 ^ _209994) ^ [] : [a_select3(_235892, 687 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], 688 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]) = a_select3(_235892, 688 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], 687 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892])]], 701 ^ _209994 : [(702 ^ _209994) ^ [] : [-(leq(n0, 699 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]))], (704 ^ _209994) ^ [] : [-(leq(699 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], _235880))], (706 ^ _209994) ^ [] : [-(leq(n0, 700 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]))], (708 ^ _209994) ^ [] : [-(leq(700 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], _235880))], (710 ^ _209994) ^ [] : [a_select3(_235882, 699 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], 700 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892]) = a_select3(_235882, 700 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892], 699 ^ [_235878, _235880, _235882, _235884, _235886, _235888, _235890, _235892])]], 711 ^ _209994 : [(712 ^ _209994) ^ [_238806, _238808] : [-(a_select3(tptp_madd(_235892, tptp_mmul(_235890, tptp_mmul(tptp_madd(tptp_mmul(_235888, tptp_mmul(_235886, trans(_235888))), tptp_mmul(_235884, tptp_mmul(_235882, trans(_235884)))), trans(_235890)))), _238808, _238806) = a_select3(tptp_madd(_235892, tptp_mmul(_235890, tptp_mmul(tptp_madd(tptp_mmul(_235888, tptp_mmul(_235886, trans(_235888))), tptp_mmul(_235884, tptp_mmul(_235882, trans(_235884)))), trans(_235890)))), _238806, _238808)), leq(n0, _238808), leq(_238808, _235880), leq(n0, _238806), leq(_238806, _235880)]]], (730 ^ _209994) ^ [_239559] : [-(sum(n0, tptp_minus_1, _239559) = n0)], (732 ^ _209994) ^ [_239641] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _239641))], (734 ^ _209994) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _209994) ^ [_239776] : [-(plus(_239776, n1) = succ(_239776))], (738 ^ _209994) ^ [_239859] : [-(plus(n1, _239859) = succ(_239859))], (740 ^ _209994) ^ [_239942] : [-(plus(_239942, n2) = succ(succ(_239942)))], (742 ^ _209994) ^ [_240027] : [-(plus(n2, _240027) = succ(succ(_240027)))], (744 ^ _209994) ^ [_240112] : [-(plus(_240112, n3) = succ(succ(succ(_240112))))], (746 ^ _209994) ^ [_240199] : [-(plus(n3, _240199) = succ(succ(succ(_240199))))], (748 ^ _209994) ^ [_240286] : [-(plus(_240286, n4) = succ(succ(succ(succ(_240286)))))], (750 ^ _209994) ^ [_240375] : [-(plus(n4, _240375) = succ(succ(succ(succ(_240375)))))], (752 ^ _209994) ^ [_240464] : [-(plus(_240464, n5) = succ(succ(succ(succ(succ(_240464))))))], (754 ^ _209994) ^ [_240555] : [-(plus(n5, _240555) = succ(succ(succ(succ(succ(_240555))))))], (756 ^ _209994) ^ [_240646] : [-(minus(_240646, n1) = pred(_240646))], (758 ^ _209994) ^ [_240729] : [-(pred(succ(_240729)) = _240729)], (760 ^ _209994) ^ [_240811] : [-(succ(pred(_240811)) = _240811)], (762 ^ _209994) ^ [_240951, _240953] : [leq(succ(_240953), succ(_240951)), -(leq(_240953, _240951))], (768 ^ _209994) ^ [_241121, _241123] : [leq(_241123, _241121), -(leq(succ(_241123), succ(_241121)))], (774 ^ _209994) ^ [_241341, _241343] : [leq(succ(_241343), _241341), -(gt(_241341, _241343))], (780 ^ _209994) ^ [_241555, _241557] : [leq(minus(_241557, _241555), _241557), -(leq(n0, _241555))], (786 ^ _209994) ^ [_241784, _241786, _241788, _241790] : [-(a_select3(tptp_update3(_241790, _241788, _241786, _241784), _241788, _241786) = _241784)], (788 ^ _209994) ^ [_241976, _241978, _241980, _241982, _241984, _241986, _241988] : [-(a_select3(tptp_update3(_241980, _241988, _241986, _241976), _241984, _241982) = _241978), -(_241988 = _241984), _241986 = _241982, a_select3(_241980, _241984, _241982) = _241978], (802 ^ _209994) ^ [_242519, _242521, _242523, _242525, _242527, _242529] : [-(a_select3(tptp_update3(_242521, _242525, _242523, _242519), _242529, _242527) = _242519), 807 ^ _209994 : [(808 ^ _209994) ^ [] : [-(leq(n0, 805 ^ [_242519, _242521, _242523, _242525, _242527, _242529]))], (810 ^ _209994) ^ [] : [-(leq(n0, 806 ^ [_242519, _242521, _242523, _242525, _242527, _242529]))], (812 ^ _209994) ^ [] : [-(leq(805 ^ [_242519, _242521, _242523, _242525, _242527, _242529], _242525))], (814 ^ _209994) ^ [] : [-(leq(806 ^ [_242519, _242521, _242523, _242525, _242527, _242529], _242523))], (816 ^ _209994) ^ [] : [a_select3(_242521, 805 ^ [_242519, _242521, _242523, _242525, _242527, _242529], 806 ^ [_242519, _242521, _242523, _242525, _242527, _242529]) = _242519]], leq(n0, _242529), leq(_242529, _242525), leq(n0, _242527), leq(_242527, _242523)], (834 ^ _209994) ^ [_243861, _243863, _243865] : [-(a_select2(tptp_update2(_243865, _243863, _243861), _243863) = _243861)], (836 ^ _209994) ^ [_244021, _244023, _244025, _244027, _244029] : [-(a_select2(tptp_update2(_244025, _244029, _244021), _244027) = _244023), -(_244029 = _244027), a_select2(_244025, _244027) = _244023], (865 ^ _209994) ^ [] : [-(true)], (867 ^ _209994) ^ [] : [def = use], (846 ^ _209994) ^ [_244401, _244403, _244405, _244407] : [-(a_select2(tptp_update2(_244403, _244405, _244401), _244407) = _244401), 850 ^ _209994 : [(851 ^ _209994) ^ [] : [-(leq(n0, 849 ^ [_244401, _244403, _244405, _244407]))], (853 ^ _209994) ^ [] : [-(leq(849 ^ [_244401, _244403, _244405, _244407], _244405))], (855 ^ _209994) ^ [] : [a_select2(_244403, 849 ^ [_244401, _244403, _244405, _244407]) = _244401]], leq(n0, _244407), leq(_244407, _244405)]], input).
% 0.33/1.39  ncf('1',plain,[a_select3(q_init, pv46, pv40) = init],start(1165 ^ 0)).
% 0.33/1.39  ncf('1.1',plain,[-(a_select3(q_init, pv46, pv40) = init), 1073 : leq(n0, pv40), 1073 : leq(pv40, n4), 1073 : leq(n0, pv46), 1073 : leq(pv46, n135299)],extension(1065 ^ 1,bind([[_250575, _250803], [pv46, pv40]]))).
% 0.33/1.39  ncf('1.1.1',plain,[-(leq(n0, pv40))],extension(1057 ^ 4)).
% 0.33/1.39  ncf('1.1.2',plain,[-(leq(pv40, n4))],extension(1061 ^ 4)).
% 0.33/1.39  ncf('1.1.3',plain,[-(leq(n0, pv46))],extension(1059 ^ 2)).
% 0.33/1.39  ncf('1.1.4',plain,[-(leq(pv46, n135299))],extension(1063 ^ 2)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------