%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV167+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 12:20:05 EDT 2023

% Result   : Theorem 23.43s 23.11s
% Output   : Proof 23.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV167+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n015.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri May 19 02:49:37 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 23.43/23.11  
% 23.43/23.11  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 23.43/23.11  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.43/23.11  %-----------------------------------------------------
% 23.43/23.11  ncf(matrix, plain, [(1164 ^ _212675) ^ [] : [-(leq(n0, 1162 ^ []))], (1166 ^ _212675) ^ [] : [-(leq(1162 ^ [], pv40))], (1168 ^ _212675) ^ [] : [a_select2(mu_init, 1162 ^ []) = init], (1055 ^ _212675) ^ [] : [-(a_select2(mu_init, pv40) = init)], (1057 ^ _212675) ^ [] : [-(a_select2(sigma_init, pv40) = init)], (1059 ^ _212675) ^ [] : [-(leq(n0, pv40))], (1061 ^ _212675) ^ [] : [-(leq(pv40, n4))], (1063 ^ _212675) ^ [_253203] : [leq(n0, _253203), leq(_253203, n135299), 1070 ^ _212675 : [(1071 ^ _212675) ^ [_253431] : [-(a_select3(q_init, _253203, _253431) = init), leq(n0, _253431), leq(_253431, n4)]]], (1081 ^ _212675) ^ [_253733] : [-(a_select2(rho_init, _253733) = init), leq(n0, _253733), leq(_253733, n4)], (1091 ^ _212675) ^ [_254014] : [-(a_select2(mu_init, _254014) = init), leq(n0, _254014), leq(_254014, pred(pv40))], (1101 ^ _212675) ^ [_254295] : [-(a_select2(sigma_init, _254295) = init), leq(n0, _254295), leq(_254295, pred(pv40))], (1111 ^ _212675) ^ [_254576] : [-(a_select3(center_init, _254576, n0) = init), leq(n0, _254576), leq(_254576, n4)], (1121 ^ _212675) ^ [] : [gt(loopcounter, n1), 1124 ^ _212675 : [(1125 ^ _212675) ^ [_254921] : [-(a_select2(muold_init, _254921) = init), leq(n0, _254921), leq(_254921, n4)]]], (1135 ^ _212675) ^ [] : [gt(loopcounter, n1), 1138 ^ _212675 : [(1139 ^ _212675) ^ [_255269] : [-(a_select2(rhoold_init, _255269) = init), leq(n0, _255269), leq(_255269, n4)]]], (1149 ^ _212675) ^ [] : [gt(loopcounter, n1), 1152 ^ _212675 : [(1153 ^ _212675) ^ [_255597] : [-(a_select2(sigmaold_init, _255597) = init), leq(n0, _255597), leq(_255597, n4)]]], (2 ^ _212675) ^ [_212819] : [-(_212819 = _212819)], (4 ^ _212675) ^ [_212926, _212928] : [_212928 = _212926, -(_212926 = _212928)], (10 ^ _212675) ^ [_213130, _213132, _213134] : [-(_213134 = _213130), _213134 = _213132, _213132 = _213130], (20 ^ _212675) ^ [_213471, _213473, _213475, _213477] : [-(lt(_213475, _213471)), lt(_213477, _213473), _213477 = _213475, _213473 = _213471], (34 ^ _212675) ^ [_213915, _213917, _213919, _213921] : [-(geq(_213919, _213915)), geq(_213921, _213917), _213921 = _213919, _213917 = _213915], (48 ^ _212675) ^ [_214359, _214361, _214363, _214365] : [-(gt(_214363, _214359)), gt(_214365, _214361), _214365 = _214363, _214361 = _214359], (62 ^ _212675) ^ [_214783, _214785, _214787, _214789] : [-(leq(_214787, _214783)), leq(_214789, _214785), _214789 = _214787, _214785 = _214783], (76 ^ _212675) ^ [_215239, _215241, _215243, _215245] : [-(uniform_int_rnd(_215245, _215241) = uniform_int_rnd(_215243, _215239)), _215245 = _215243, _215241 = _215239], (86 ^ _212675) ^ [_215598, _215600, _215602, _215604] : [-(tptp_const_array1(_215604, _215600) = tptp_const_array1(_215602, _215598)), _215604 = _215602, _215600 = _215598], (96 ^ _212675) ^ [_215985, _215987, _215989, _215991, _215993, _215995] : [-(tptp_const_array2(_215995, _215991, _215987) = tptp_const_array2(_215993, _215989, _215985)), _215995 = _215993, _215991 = _215989, _215987 = _215985], (110 ^ _212675) ^ [_216473, _216475, _216477, _216479] : [-(dim(_216479, _216475) = dim(_216477, _216473)), _216479 = _216477, _216475 = _216473], (120 ^ _212675) ^ [_216804, _216806] : [_216806 = _216804, -(inv(_216806) = inv(_216804))], (126 ^ _212675) ^ [_217050, _217052, _217054, _217056] : [-(tptp_msub(_217056, _217052) = tptp_msub(_217054, _217050)), _217056 = _217054, _217052 = _217050], (136 ^ _212675) ^ [_217409, _217411, _217413, _217415] : [-(tptp_madd(_217415, _217411) = tptp_madd(_217413, _217409)), _217415 = _217413, _217411 = _217409], (146 ^ _212675) ^ [_217768, _217770, _217772, _217774] : [-(tptp_mmul(_217774, _217770) = tptp_mmul(_217772, _217768)), _217774 = _217772, _217770 = _217768], (156 ^ _212675) ^ [_218099, _218101] : [_218101 = _218099, -(trans(_218101) = trans(_218099))], (162 ^ _212675) ^ [_218373, _218375, _218377, _218379, _218381, _218383] : [-(sum(_218383, _218379, _218375) = sum(_218381, _218377, _218373)), _218383 = _218381, _218379 = _218377, _218375 = _218373], (176 ^ _212675) ^ [_218861, _218863, _218865, _218867] : [-(plus(_218867, _218863) = plus(_218865, _218861)), _218867 = _218865, _218863 = _218861], (186 ^ _212675) ^ [_219220, _219222, _219224, _219226] : [-(minus(_219226, _219222) = minus(_219224, _219220)), _219226 = _219224, _219222 = _219220], (196 ^ _212675) ^ [_219635, _219637, _219639, _219641, _219643, _219645, _219647, _219649] : [-(tptp_update3(_219649, _219645, _219641, _219637) = tptp_update3(_219647, _219643, _219639, _219635)), _219649 = _219647, _219645 = _219643, _219641 = _219639, _219637 = _219635], (214 ^ _212675) ^ [_220296, _220298, _220300, _220302, _220304, _220306] : [-(tptp_update2(_220306, _220302, _220298) = tptp_update2(_220304, _220300, _220296)), _220306 = _220304, _220302 = _220300, _220298 = _220296], (228 ^ _212675) ^ [_220756, _220758] : [_220758 = _220756, -(succ(_220758) = succ(_220756))], (234 ^ _212675) ^ [_220974, _220976] : [_220976 = _220974, -(pred(_220976) = pred(_220974))], (254 ^ _212675) ^ [_221716, _221718, _221720, _221722] : [-(a_select2(_221722, _221718) = a_select2(_221720, _221716)), _221722 = _221720, _221718 = _221716], (240 ^ _212675) ^ [_221248, _221250, _221252, _221254, _221256, _221258] : [-(a_select3(_221258, _221254, _221250) = a_select3(_221256, _221252, _221248)), _221258 = _221256, _221254 = _221252, _221250 = _221248], (869 ^ _212675) ^ [] : [-(gt(n5, n4))], (871 ^ _212675) ^ [] : [-(gt(n135299, n4))], (873 ^ _212675) ^ [] : [-(gt(n135299, n5))], (875 ^ _212675) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _212675) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _212675) ^ [] : [-(gt(n135299, tptp_minus_1))], (881 ^ _212675) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _212675) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _212675) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _212675) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _212675) ^ [] : [-(gt(n4, n0))], (891 ^ _212675) ^ [] : [-(gt(n5, n0))], (893 ^ _212675) ^ [] : [-(gt(n135299, n0))], (895 ^ _212675) ^ [] : [-(gt(n1, n0))], (897 ^ _212675) ^ [] : [-(gt(n2, n0))], (899 ^ _212675) ^ [] : [-(gt(n3, n0))], (901 ^ _212675) ^ [] : [-(gt(n4, n1))], (903 ^ _212675) ^ [] : [-(gt(n5, n1))], (905 ^ _212675) ^ [] : [-(gt(n135299, n1))], (907 ^ _212675) ^ [] : [-(gt(n2, n1))], (909 ^ _212675) ^ [] : [-(gt(n3, n1))], (911 ^ _212675) ^ [] : [-(gt(n4, n2))], (913 ^ _212675) ^ [] : [-(gt(n5, n2))], (915 ^ _212675) ^ [] : [-(gt(n135299, n2))], (917 ^ _212675) ^ [] : [-(gt(n3, n2))], (919 ^ _212675) ^ [] : [-(gt(n4, n3))], (921 ^ _212675) ^ [] : [-(gt(n5, n3))], (923 ^ _212675) ^ [] : [-(gt(n135299, n3))], (925 ^ _212675) ^ [_249556] : [leq(n0, _249556), leq(_249556, n4), -(_249556 = n0), -(_249556 = n1), -(_249556 = n2), -(_249556 = n3), -(_249556 = n4)], (951 ^ _212675) ^ [_250177] : [leq(n0, _250177), leq(_250177, n5), -(_250177 = n0), -(_250177 = n1), -(_250177 = n2), -(_250177 = n3), -(_250177 = n4), -(_250177 = n5)], (981 ^ _212675) ^ [_250884] : [-(_250884 = n0), leq(n0, _250884), leq(_250884, n0)], (991 ^ _212675) ^ [_251159] : [leq(n0, _251159), leq(_251159, n1), -(_251159 = n0), -(_251159 = n1)], (1005 ^ _212675) ^ [_251522] : [leq(n0, _251522), leq(_251522, n2), -(_251522 = n0), -(_251522 = n1), -(_251522 = n2)], (1045 ^ _212675) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _212675) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _212675) ^ [] : [-(succ(n0) = n1)], (1051 ^ _212675) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _212675) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _212675) ^ [_251971] : [leq(n0, _251971), leq(_251971, n3), -(_251971 = n0), -(_251971 = n1), -(_251971 = n2), -(_251971 = n3)], (264 ^ _212675) ^ [_222147, _222149] : [-(gt(_222149, _222147)), -(gt(_222147, _222149)), -(_222149 = _222147)], (274 ^ _212675) ^ [_222462, _222464, _222466] : [-(gt(_222466, _222462)), gt(_222466, _222464), gt(_222464, _222462)], (284 ^ _212675) ^ [_222741] : [gt(_222741, _222741)], (286 ^ _212675) ^ [_222819] : [-(leq(_222819, _222819))], (288 ^ _212675) ^ [_222940, _222942, _222944] : [-(leq(_222944, _222940)), leq(_222944, _222942), leq(_222942, _222940)], (298 ^ _212675) ^ [_223278, _223280] : [lt(_223280, _223278), -(gt(_223278, _223280))], (304 ^ _212675) ^ [_223440, _223442] : [gt(_223440, _223442), -(lt(_223442, _223440))], (310 ^ _212675) ^ [_223681, _223683] : [geq(_223683, _223681), -(leq(_223681, _223683))], (316 ^ _212675) ^ [_223843, _223845] : [leq(_223843, _223845), -(geq(_223845, _223843))], (322 ^ _212675) ^ [_224055, _224057] : [gt(_224055, _224057), -(leq(_224057, _224055))], (328 ^ _212675) ^ [_224265, _224267] : [-(gt(_224265, _224267)), leq(_224267, _224265), -(_224267 = _224265)], (338 ^ _212675) ^ [_224596, _224598] : [leq(_224598, pred(_224596)), -(gt(_224596, _224598))], (344 ^ _212675) ^ [_224762, _224764] : [gt(_224762, _224764), -(leq(_224764, pred(_224762)))], (350 ^ _212675) ^ [_224949] : [-(gt(succ(_224949), _224949))], (352 ^ _212675) ^ [_225058, _225060] : [leq(_225060, _225058), -(leq(_225060, succ(_225058)))], (358 ^ _212675) ^ [_225301, _225303] : [leq(_225303, _225301), -(gt(succ(_225301), _225303))], (364 ^ _212675) ^ [_225467, _225469] : [gt(succ(_225467), _225469), -(leq(_225469, _225467))], (370 ^ _212675) ^ [_225683, _225685] : [leq(n0, _225685), -(leq(uniform_int_rnd(_225683, _225685), _225685))], (376 ^ _212675) ^ [_225899, _225901] : [leq(n0, _225901), -(leq(n0, uniform_int_rnd(_225899, _225901)))], (382 ^ _212675) ^ [_226143, _226145, _226147, _226149] : [-(a_select2(tptp_const_array1(dim(_226147, _226145), _226143), _226149) = _226143), leq(_226147, _226149), leq(_226149, _226145)], (392 ^ _212675) ^ [_226550, _226552, _226554, _226556, _226558, _226560, _226562] : [-(a_select3(tptp_const_array2(dim(_226560, _226558), dim(_226554, _226552), _226550), _226562, _226556) = _226550), leq(_226560, _226562), leq(_226562, _226558), leq(_226554, _226556), leq(_226556, _226552)], (410 ^ _212675) ^ [_227145, _227147] : [413 ^ _212675 : [(414 ^ _212675) ^ [] : [-(leq(n0, 411 ^ [_227145, _227147]))], (416 ^ _212675) ^ [] : [-(leq(411 ^ [_227145, _227147], _227145))], (418 ^ _212675) ^ [] : [-(leq(n0, 412 ^ [_227145, _227147]))], (420 ^ _212675) ^ [] : [-(leq(412 ^ [_227145, _227147], _227145))], (422 ^ _212675) ^ [] : [a_select3(_227147, 411 ^ [_227145, _227147], 412 ^ [_227145, _227147]) = a_select3(_227147, 412 ^ [_227145, _227147], 411 ^ [_227145, _227147])]], 423 ^ _212675 : [(424 ^ _212675) ^ [_227902, _227904] : [-(a_select3(trans(_227147), _227904, _227902) = a_select3(trans(_227147), _227902, _227904)), leq(n0, _227904), leq(_227904, _227145), leq(n0, _227902), leq(_227902, _227145)]]], (442 ^ _212675) ^ [_228449, _228451] : [445 ^ _212675 : [(446 ^ _212675) ^ [] : [-(leq(n0, 443 ^ [_228449, _228451]))], (448 ^ _212675) ^ [] : [-(leq(443 ^ [_228449, _228451], _228449))], (450 ^ _212675) ^ [] : [-(leq(n0, 444 ^ [_228449, _228451]))], (452 ^ _212675) ^ [] : [-(leq(444 ^ [_228449, _228451], _228449))], (454 ^ _212675) ^ [] : [a_select3(_228451, 443 ^ [_228449, _228451], 444 ^ [_228449, _228451]) = a_select3(_228451, 444 ^ [_228449, _228451], 443 ^ [_228449, _228451])]], 455 ^ _212675 : [(456 ^ _212675) ^ [_229206, _229208] : [-(a_select3(inv(_228451), _229208, _229206) = a_select3(inv(_228451), _229206, _229208)), leq(n0, _229208), leq(_229208, _228449), leq(n0, _229206), leq(_229206, _228449)]]], (474 ^ _212675) ^ [_229753, _229755] : [477 ^ _212675 : [(478 ^ _212675) ^ [] : [-(leq(n0, 475 ^ [_229753, _229755]))], (480 ^ _212675) ^ [] : [-(leq(475 ^ [_229753, _229755], _229753))], (482 ^ _212675) ^ [] : [-(leq(n0, 476 ^ [_229753, _229755]))], (484 ^ _212675) ^ [] : [-(leq(476 ^ [_229753, _229755], _229753))], (486 ^ _212675) ^ [] : [a_select3(_229755, 475 ^ [_229753, _229755], 476 ^ [_229753, _229755]) = a_select3(_229755, 476 ^ [_229753, _229755], 475 ^ [_229753, _229755])]], 487 ^ _212675 : [(488 ^ _212675) ^ [_230566, _230568, _230570, _230572] : [-(a_select3(tptp_update3(_229755, _230568, _230568, _230566), _230572, _230570) = a_select3(tptp_update3(_229755, _230568, _230568, _230566), _230570, _230572)), leq(n0, _230572), leq(_230572, _229753), leq(n0, _230570), leq(_230570, _229753), leq(n0, _230568), leq(_230568, _229753)]]], (514 ^ _212675) ^ [_231385, _231387, _231389] : [519 ^ _212675 : [(520 ^ _212675) ^ [] : [-(leq(n0, 517 ^ [_231385, _231387, _231389]))], (522 ^ _212675) ^ [] : [-(leq(517 ^ [_231385, _231387, _231389], _231385))], (524 ^ _212675) ^ [] : [-(leq(n0, 518 ^ [_231385, _231387, _231389]))], (526 ^ _212675) ^ [] : [-(leq(518 ^ [_231385, _231387, _231389], _231385))], (528 ^ _212675) ^ [] : [a_select3(_231389, 517 ^ [_231385, _231387, _231389], 518 ^ [_231385, _231387, _231389]) = a_select3(_231389, 518 ^ [_231385, _231387, _231389], 517 ^ [_231385, _231387, _231389])]], 531 ^ _212675 : [(532 ^ _212675) ^ [] : [-(leq(n0, 529 ^ [_231385, _231387, _231389]))], (534 ^ _212675) ^ [] : [-(leq(529 ^ [_231385, _231387, _231389], _231385))], (536 ^ _212675) ^ [] : [-(leq(n0, 530 ^ [_231385, _231387, _231389]))], (538 ^ _212675) ^ [] : [-(leq(530 ^ [_231385, _231387, _231389], _231385))], (540 ^ _212675) ^ [] : [a_select3(_231387, 529 ^ [_231385, _231387, _231389], 530 ^ [_231385, _231387, _231389]) = a_select3(_231387, 530 ^ [_231385, _231387, _231389], 529 ^ [_231385, _231387, _231389])]], 541 ^ _212675 : [(542 ^ _212675) ^ [_232894, _232896] : [-(a_select3(tptp_madd(_231389, _231387), _232896, _232894) = a_select3(tptp_madd(_231389, _231387), _232894, _232896)), leq(n0, _232896), leq(_232896, _231385), leq(n0, _232894), leq(_232894, _231385)]]], (560 ^ _212675) ^ [_233480, _233482, _233484] : [565 ^ _212675 : [(566 ^ _212675) ^ [] : [-(leq(n0, 563 ^ [_233480, _233482, _233484]))], (568 ^ _212675) ^ [] : [-(leq(563 ^ [_233480, _233482, _233484], _233480))], (570 ^ _212675) ^ [] : [-(leq(n0, 564 ^ [_233480, _233482, _233484]))], (572 ^ _212675) ^ [] : [-(leq(564 ^ [_233480, _233482, _233484], _233480))], (574 ^ _212675) ^ [] : [a_select3(_233484, 563 ^ [_233480, _233482, _233484], 564 ^ [_233480, _233482, _233484]) = a_select3(_233484, 564 ^ [_233480, _233482, _233484], 563 ^ [_233480, _233482, _233484])]], 577 ^ _212675 : [(578 ^ _212675) ^ [] : [-(leq(n0, 575 ^ [_233480, _233482, _233484]))], (580 ^ _212675) ^ [] : [-(leq(575 ^ [_233480, _233482, _233484], _233480))], (582 ^ _212675) ^ [] : [-(leq(n0, 576 ^ [_233480, _233482, _233484]))], (584 ^ _212675) ^ [] : [-(leq(576 ^ [_233480, _233482, _233484], _233480))], (586 ^ _212675) ^ [] : [a_select3(_233482, 575 ^ [_233480, _233482, _233484], 576 ^ [_233480, _233482, _233484]) = a_select3(_233482, 576 ^ [_233480, _233482, _233484], 575 ^ [_233480, _233482, _233484])]], 587 ^ _212675 : [(588 ^ _212675) ^ [_234989, _234991] : [-(a_select3(tptp_msub(_233484, _233482), _234991, _234989) = a_select3(tptp_msub(_233484, _233482), _234989, _234991)), leq(n0, _234991), leq(_234991, _233480), leq(n0, _234989), leq(_234989, _233480)]]], (606 ^ _212675) ^ [_235575, _235577, _235579] : [609 ^ _212675 : [(610 ^ _212675) ^ [] : [-(leq(n0, 607 ^ [_235575, _235577, _235579]))], (612 ^ _212675) ^ [] : [-(leq(607 ^ [_235575, _235577, _235579], _235575))], (614 ^ _212675) ^ [] : [-(leq(n0, 608 ^ [_235575, _235577, _235579]))], (616 ^ _212675) ^ [] : [-(leq(608 ^ [_235575, _235577, _235579], _235575))], (618 ^ _212675) ^ [] : [a_select3(_235577, 607 ^ [_235575, _235577, _235579], 608 ^ [_235575, _235577, _235579]) = a_select3(_235577, 608 ^ [_235575, _235577, _235579], 607 ^ [_235575, _235577, _235579])]], 619 ^ _212675 : [(620 ^ _212675) ^ [_236388, _236390] : [-(a_select3(tptp_mmul(_235579, tptp_mmul(_235577, trans(_235579))), _236390, _236388) = a_select3(tptp_mmul(_235579, tptp_mmul(_235577, trans(_235579))), _236388, _236390)), leq(n0, _236390), leq(_236390, _235575), leq(n0, _236388), leq(_236388, _235575)]]], (638 ^ _212675) ^ [_237007, _237009, _237011, _237013] : [641 ^ _212675 : [(642 ^ _212675) ^ [] : [-(leq(n0, 639 ^ [_237007, _237009, _237011, _237013]))], (644 ^ _212675) ^ [] : [-(leq(639 ^ [_237007, _237009, _237011, _237013], _237007))], (646 ^ _212675) ^ [] : [-(leq(n0, 640 ^ [_237007, _237009, _237011, _237013]))], (648 ^ _212675) ^ [] : [-(leq(640 ^ [_237007, _237009, _237011, _237013], _237007))], (650 ^ _212675) ^ [] : [a_select3(_237011, 639 ^ [_237007, _237009, _237011, _237013], 640 ^ [_237007, _237009, _237011, _237013]) = a_select3(_237011, 640 ^ [_237007, _237009, _237011, _237013], 639 ^ [_237007, _237009, _237011, _237013])]], 651 ^ _212675 : [(652 ^ _212675) ^ [_237864, _237866] : [-(a_select3(tptp_mmul(_237013, tptp_mmul(_237011, trans(_237013))), _237866, _237864) = a_select3(tptp_mmul(_237013, tptp_mmul(_237011, trans(_237013))), _237864, _237866)), leq(n0, _237866), leq(_237866, _237009), leq(n0, _237864), leq(_237864, _237009)]]], (670 ^ _212675) ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573] : [675 ^ _212675 : [(676 ^ _212675) ^ [] : [-(leq(n0, 673 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]))], (678 ^ _212675) ^ [] : [-(leq(673 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], _238559))], (680 ^ _212675) ^ [] : [-(leq(n0, 674 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]))], (682 ^ _212675) ^ [] : [-(leq(674 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], _238559))], (684 ^ _212675) ^ [] : [a_select3(_238567, 673 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], 674 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]) = a_select3(_238567, 674 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], 673 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573])]], 689 ^ _212675 : [(690 ^ _212675) ^ [] : [-(leq(n0, 687 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]))], (692 ^ _212675) ^ [] : [-(leq(687 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], _238561))], (694 ^ _212675) ^ [] : [-(leq(n0, 688 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]))], (696 ^ _212675) ^ [] : [-(leq(688 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], _238561))], (698 ^ _212675) ^ [] : [a_select3(_238573, 687 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], 688 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]) = a_select3(_238573, 688 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], 687 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573])]], 701 ^ _212675 : [(702 ^ _212675) ^ [] : [-(leq(n0, 699 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]))], (704 ^ _212675) ^ [] : [-(leq(699 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], _238561))], (706 ^ _212675) ^ [] : [-(leq(n0, 700 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]))], (708 ^ _212675) ^ [] : [-(leq(700 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], _238561))], (710 ^ _212675) ^ [] : [a_select3(_238563, 699 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], 700 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573]) = a_select3(_238563, 700 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573], 699 ^ [_238559, _238561, _238563, _238565, _238567, _238569, _238571, _238573])]], 711 ^ _212675 : [(712 ^ _212675) ^ [_241487, _241489] : [-(a_select3(tptp_madd(_238573, tptp_mmul(_238571, tptp_mmul(tptp_madd(tptp_mmul(_238569, tptp_mmul(_238567, trans(_238569))), tptp_mmul(_238565, tptp_mmul(_238563, trans(_238565)))), trans(_238571)))), _241489, _241487) = a_select3(tptp_madd(_238573, tptp_mmul(_238571, tptp_mmul(tptp_madd(tptp_mmul(_238569, tptp_mmul(_238567, trans(_238569))), tptp_mmul(_238565, tptp_mmul(_238563, trans(_238565)))), trans(_238571)))), _241487, _241489)), leq(n0, _241489), leq(_241489, _238561), leq(n0, _241487), leq(_241487, _238561)]]], (730 ^ _212675) ^ [_242240] : [-(sum(n0, tptp_minus_1, _242240) = n0)], (732 ^ _212675) ^ [_242322] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _242322))], (734 ^ _212675) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _212675) ^ [_242457] : [-(plus(_242457, n1) = succ(_242457))], (738 ^ _212675) ^ [_242540] : [-(plus(n1, _242540) = succ(_242540))], (740 ^ _212675) ^ [_242623] : [-(plus(_242623, n2) = succ(succ(_242623)))], (742 ^ _212675) ^ [_242708] : [-(plus(n2, _242708) = succ(succ(_242708)))], (744 ^ _212675) ^ [_242793] : [-(plus(_242793, n3) = succ(succ(succ(_242793))))], (746 ^ _212675) ^ [_242880] : [-(plus(n3, _242880) = succ(succ(succ(_242880))))], (748 ^ _212675) ^ [_242967] : [-(plus(_242967, n4) = succ(succ(succ(succ(_242967)))))], (750 ^ _212675) ^ [_243056] : [-(plus(n4, _243056) = succ(succ(succ(succ(_243056)))))], (752 ^ _212675) ^ [_243145] : [-(plus(_243145, n5) = succ(succ(succ(succ(succ(_243145))))))], (754 ^ _212675) ^ [_243236] : [-(plus(n5, _243236) = succ(succ(succ(succ(succ(_243236))))))], (756 ^ _212675) ^ [_243327] : [-(minus(_243327, n1) = pred(_243327))], (758 ^ _212675) ^ [_243410] : [-(pred(succ(_243410)) = _243410)], (760 ^ _212675) ^ [_243492] : [-(succ(pred(_243492)) = _243492)], (762 ^ _212675) ^ [_243632, _243634] : [leq(succ(_243634), succ(_243632)), -(leq(_243634, _243632))], (768 ^ _212675) ^ [_243802, _243804] : [leq(_243804, _243802), -(leq(succ(_243804), succ(_243802)))], (774 ^ _212675) ^ [_244022, _244024] : [leq(succ(_244024), _244022), -(gt(_244022, _244024))], (780 ^ _212675) ^ [_244236, _244238] : [leq(minus(_244238, _244236), _244238), -(leq(n0, _244236))], (786 ^ _212675) ^ [_244465, _244467, _244469, _244471] : [-(a_select3(tptp_update3(_244471, _244469, _244467, _244465), _244469, _244467) = _244465)], (788 ^ _212675) ^ [_244657, _244659, _244661, _244663, _244665, _244667, _244669] : [-(a_select3(tptp_update3(_244661, _244669, _244667, _244657), _244665, _244663) = _244659), -(_244669 = _244665), _244667 = _244663, a_select3(_244661, _244665, _244663) = _244659], (802 ^ _212675) ^ [_245200, _245202, _245204, _245206, _245208, _245210] : [-(a_select3(tptp_update3(_245202, _245206, _245204, _245200), _245210, _245208) = _245200), 807 ^ _212675 : [(808 ^ _212675) ^ [] : [-(leq(n0, 805 ^ [_245200, _245202, _245204, _245206, _245208, _245210]))], (810 ^ _212675) ^ [] : [-(leq(n0, 806 ^ [_245200, _245202, _245204, _245206, _245208, _245210]))], (812 ^ _212675) ^ [] : [-(leq(805 ^ [_245200, _245202, _245204, _245206, _245208, _245210], _245206))], (814 ^ _212675) ^ [] : [-(leq(806 ^ [_245200, _245202, _245204, _245206, _245208, _245210], _245204))], (816 ^ _212675) ^ [] : [a_select3(_245202, 805 ^ [_245200, _245202, _245204, _245206, _245208, _245210], 806 ^ [_245200, _245202, _245204, _245206, _245208, _245210]) = _245200]], leq(n0, _245210), leq(_245210, _245206), leq(n0, _245208), leq(_245208, _245204)], (834 ^ _212675) ^ [_246542, _246544, _246546] : [-(a_select2(tptp_update2(_246546, _246544, _246542), _246544) = _246542)], (836 ^ _212675) ^ [_246702, _246704, _246706, _246708, _246710] : [-(a_select2(tptp_update2(_246706, _246710, _246702), _246708) = _246704), -(_246710 = _246708), a_select2(_246706, _246708) = _246704], (865 ^ _212675) ^ [] : [-(true)], (867 ^ _212675) ^ [] : [def = use], (846 ^ _212675) ^ [_247082, _247084, _247086, _247088] : [-(a_select2(tptp_update2(_247084, _247086, _247082), _247088) = _247082), 850 ^ _212675 : [(851 ^ _212675) ^ [] : [-(leq(n0, 849 ^ [_247082, _247084, _247086, _247088]))], (853 ^ _212675) ^ [] : [-(leq(849 ^ [_247082, _247084, _247086, _247088], _247086))], (855 ^ _212675) ^ [] : [a_select2(_247084, 849 ^ [_247082, _247084, _247086, _247088]) = _247082]], leq(n0, _247088), leq(_247088, _247086)]], input).
% 23.43/23.11  ncf('1',plain,[a_select2(mu_init, 1162 ^ []) = init],start(1168 ^ 0)).
% 23.43/23.11  ncf('1.1',plain,[-(a_select2(mu_init, 1162 ^ []) = init), leq(n0, 1162 ^ []), leq(1162 ^ [], pred(pv40))],extension(1091 ^ 1,bind([[_254014], [1162 ^ []]]))).
% 23.43/23.11  ncf('1.1.1',plain,[-(leq(n0, 1162 ^ []))],extension(1164 ^ 2)).
% 23.43/23.11  ncf('1.1.2',plain,[-(leq(1162 ^ [], pred(pv40))), gt(pv40, 1162 ^ [])],extension(344 ^ 2,bind([[_224762, _224764], [pv40, 1162 ^ []]]))).
% 23.43/23.11  ncf('1.1.2.1',plain,[-(gt(pv40, 1162 ^ [])), -(gt(1162 ^ [], pv40)), -(1162 ^ [] = pv40)],extension(264 ^ 3,bind([[_222147, _222149], [pv40, 1162 ^ []]]))).
% 23.43/23.11  ncf('1.1.2.1.1',plain,[gt(1162 ^ [], pv40), -(gt(pv40, 1162 ^ [])), 1162 ^ [] = pv40, pv40 = 1162 ^ []],extension(48 ^ 4,bind([[_214359, _214361, _214363, _214365], [1162 ^ [], pv40, pv40, 1162 ^ []]]))).
% 23.43/23.11  ncf('1.1.2.1.1.1',plain,[gt(pv40, 1162 ^ [])],reduction('1.1.2')).
% 23.43/23.11  ncf('1.1.2.1.1.2',plain,[-(1162 ^ [] = pv40), -(gt(pv40, 1162 ^ [])), leq(1162 ^ [], pv40)],extension(328 ^ 5,bind([[_224265, _224267], [pv40, 1162 ^ []]]))).
% 23.43/23.11  ncf('1.1.2.1.1.2.1',plain,[gt(pv40, 1162 ^ [])],lemmata('[1, 2, 1, 1].x')).
% 23.43/23.11  ncf('1.1.2.1.1.2.2',plain,[-(leq(1162 ^ [], pv40))],extension(1166 ^ 6)).
% 23.43/23.11  ncf('1.1.2.1.1.3',plain,[-(pv40 = 1162 ^ []), 1162 ^ [] = pv40],extension(4 ^ 5,bind([[_212926, _212928], [pv40, 1162 ^ []]]))).
% 23.43/23.11  ncf('1.1.2.1.1.3.1',plain,[-(1162 ^ [] = pv40)],lemmata('[1, 2, 1, 1].x')).
% 23.43/23.11  ncf('1.1.2.1.2',plain,[1162 ^ [] = pv40, -(a_select2(mu_init, 1162 ^ []) = a_select2(mu_init, pv40)), mu_init = mu_init],extension(254 ^ 4,bind([[_221716, _221718, _221720, _221722], [pv40, 1162 ^ [], mu_init, mu_init]]))).
% 23.43/23.11  ncf('1.1.2.1.2.1',plain,[a_select2(mu_init, 1162 ^ []) = a_select2(mu_init, pv40), -(a_select2(mu_init, 1162 ^ []) = init), a_select2(mu_init, pv40) = init],extension(10 ^ 5,bind([[_213130, _213132, _213134], [init, a_select2(mu_init, pv40), a_select2(mu_init, 1162 ^ [])]]))).
% 23.43/23.11  ncf('1.1.2.1.2.1.1',plain,[a_select2(mu_init, 1162 ^ []) = init],reduction('1')).
% 23.43/23.11  ncf('1.1.2.1.2.1.2',plain,[-(a_select2(mu_init, pv40) = init)],extension(1055 ^ 6)).
% 23.43/23.11  ncf('1.1.2.1.2.2',plain,[-(mu_init = mu_init)],extension(2 ^ 5,bind([[_212819], [mu_init]]))).
% 23.43/23.11  %-----------------------------------------------------
% 23.43/23.11  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------