%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

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

% Result   : Theorem 282.35s 272.59s
% Output   : Proof 282.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV191+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May 19 02:33:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 282.35/272.59  
% 282.35/272.59  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 282.35/272.59  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 282.35/272.59  %-----------------------------------------------------
% 282.35/272.59  ncf(matrix, plain, [(240 ^ _215533) ^ [_224078, _224080, _224082, _224084] : [-(a_select2(_224084, _224080) = a_select2(_224082, _224078)), _224084 = _224082, _224080 = _224078], (879 ^ _215533) ^ [] : [-(gt(n2, tptp_minus_1))], (352 ^ _215533) ^ [_227916, _227918] : [leq(_227918, _227916), -(leq(_227918, succ(_227916)))], (895 ^ _215533) ^ [] : [-(gt(n5, n1))], (1069 ^ _215533) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (897 ^ _215533) ^ [] : [-(gt(n2, n1))], (1031 ^ _215533) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (192 ^ _215533) ^ [_222296, _222298, _222300, _222302] : [-(minus(_222302, _222298) = minus(_222300, _222296)), _222302 = _222300, _222298 = _222296], (836 ^ _215533) ^ [_249560, _249562, _249564, _249566, _249568] : [-(a_select2(tptp_update2(_249564, _249568, _249560), _249566) = _249562), -(_249568 = _249566), a_select2(_249564, _249566) = _249562], (250 ^ _215533) ^ [_224445, _224447, _224449, _224451, _224453, _224455] : [-(a_select3(_224455, _224451, _224447) = a_select3(_224453, _224449, _224445)), _224455 = _224453, _224451 = _224449, _224447 = _224445], (937 ^ _215533) ^ [_252664] : [leq(n0, _252664), leq(_252664, n5), -(_252664 = n0), -(_252664 = n1), -(_252664 = n2), -(_252664 = n3), -(_252664 = n4), -(_252664 = n5)], (304 ^ _215533) ^ [_226298, _226300] : [gt(_226298, _226300), -(lt(_226300, _226298))], (762 ^ _215533) ^ [_246490, _246492] : [leq(succ(_246492), succ(_246490)), -(leq(_246492, _246490))], (774 ^ _215533) ^ [_246880, _246882] : [leq(succ(_246882), _246880), -(gt(_246880, _246882))], (1045 ^ _215533) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (903 ^ _215533) ^ [] : [-(gt(n5, n2))], (298 ^ _215533) ^ [_226136, _226138] : [lt(_226138, _226136), -(gt(_226136, _226138))], (846 ^ _215533) ^ [_249940, _249942, _249944, _249946] : [-(a_select2(tptp_update2(_249942, _249944, _249940), _249946) = _249940), 850 ^ _215533 : [(851 ^ _215533) ^ [] : [-(leq(n0, 849 ^ [_249940, _249942, _249944, _249946]))], (855 ^ _215533) ^ [] : [a_select2(_249942, 849 ^ [_249940, _249942, _249944, _249946]) = _249940], (853 ^ _215533) ^ [] : [-(leq(849 ^ [_249940, _249942, _249944, _249946], _249944))]], leq(n0, _249946), leq(_249946, _249944)], (889 ^ _215533) ^ [] : [-(gt(n2, n0))], (638 ^ _215533) ^ [_239865, _239867, _239869, _239871] : [641 ^ _215533 : [(648 ^ _215533) ^ [] : [-(leq(640 ^ [_239865, _239867, _239869, _239871], _239865))], (642 ^ _215533) ^ [] : [-(leq(n0, 639 ^ [_239865, _239867, _239869, _239871]))], (646 ^ _215533) ^ [] : [-(leq(n0, 640 ^ [_239865, _239867, _239869, _239871]))], (650 ^ _215533) ^ [] : [a_select3(_239869, 639 ^ [_239865, _239867, _239869, _239871], 640 ^ [_239865, _239867, _239869, _239871]) = a_select3(_239869, 640 ^ [_239865, _239867, _239869, _239871], 639 ^ [_239865, _239867, _239869, _239871])], (644 ^ _215533) ^ [] : [-(leq(639 ^ [_239865, _239867, _239869, _239871], _239865))]], 651 ^ _215533 : [(652 ^ _215533) ^ [_240722, _240724] : [-(a_select3(tptp_mmul(_239871, tptp_mmul(_239869, trans(_239871))), _240724, _240722) = a_select3(tptp_mmul(_239871, tptp_mmul(_239869, trans(_239871))), _240722, _240724)), leq(n0, _240724), leq(_240724, _239867), leq(n0, _240722), leq(_240722, _239867)]]], (202 ^ _215533) ^ [_222711, _222713, _222715, _222717, _222719, _222721, _222723, _222725] : [-(tptp_update3(_222725, _222721, _222717, _222713) = tptp_update3(_222723, _222719, _222715, _222711)), _222725 = _222723, _222721 = _222719, _222717 = _222715, _222713 = _222711], (893 ^ _215533) ^ [] : [-(gt(n4, n1))], (881 ^ _215533) ^ [] : [-(gt(n3, tptp_minus_1))], (284 ^ _215533) ^ [_225599] : [gt(_225599, _225599)], (1089 ^ _215533) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (126 ^ _215533) ^ [_219908, _219910, _219912, _219914] : [-(tptp_msub(_219914, _219910) = tptp_msub(_219912, _219908)), _219914 = _219912, _219910 = _219908], (788 ^ _215533) ^ [_247515, _247517, _247519, _247521, _247523, _247525, _247527] : [-(a_select3(tptp_update3(_247519, _247527, _247525, _247515), _247523, _247521) = _247517), -(_247527 = _247523), _247525 = _247521, a_select3(_247519, _247523, _247521) = _247517], (1053 ^ _215533) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1083 ^ _215533) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (48 ^ _215533) ^ [_217217, _217219, _217221, _217223] : [-(gt(_217221, _217217)), gt(_217223, _217219), _217223 = _217221, _217219 = _217217], (901 ^ _215533) ^ [] : [-(gt(n4, n2))], (760 ^ _215533) ^ [_246350] : [-(succ(pred(_246350)) = _246350)], (1059 ^ _215533) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (514 ^ _215533) ^ [_234243, _234245, _234247] : [519 ^ _215533 : [(526 ^ _215533) ^ [] : [-(leq(518 ^ [_234243, _234245, _234247], _234243))], (520 ^ _215533) ^ [] : [-(leq(n0, 517 ^ [_234243, _234245, _234247]))], (524 ^ _215533) ^ [] : [-(leq(n0, 518 ^ [_234243, _234245, _234247]))], (528 ^ _215533) ^ [] : [a_select3(_234247, 517 ^ [_234243, _234245, _234247], 518 ^ [_234243, _234245, _234247]) = a_select3(_234247, 518 ^ [_234243, _234245, _234247], 517 ^ [_234243, _234245, _234247])], (522 ^ _215533) ^ [] : [-(leq(517 ^ [_234243, _234245, _234247], _234243))]], 531 ^ _215533 : [(538 ^ _215533) ^ [] : [-(leq(530 ^ [_234243, _234245, _234247], _234243))], (532 ^ _215533) ^ [] : [-(leq(n0, 529 ^ [_234243, _234245, _234247]))], (536 ^ _215533) ^ [] : [-(leq(n0, 530 ^ [_234243, _234245, _234247]))], (540 ^ _215533) ^ [] : [a_select3(_234245, 529 ^ [_234243, _234245, _234247], 530 ^ [_234243, _234245, _234247]) = a_select3(_234245, 530 ^ [_234243, _234245, _234247], 529 ^ [_234243, _234245, _234247])], (534 ^ _215533) ^ [] : [-(leq(529 ^ [_234243, _234245, _234247], _234243))]], 541 ^ _215533 : [(542 ^ _215533) ^ [_235752, _235754] : [-(a_select3(tptp_madd(_234247, _234245), _235754, _235752) = a_select3(tptp_madd(_234247, _234245), _235752, _235754)), leq(n0, _235754), leq(_235754, _234243), leq(n0, _235752), leq(_235752, _234243)]]], (1085 ^ _215533) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (474 ^ _215533) ^ [_232611, _232613] : [477 ^ _215533 : [(484 ^ _215533) ^ [] : [-(leq(476 ^ [_232611, _232613], _232611))], (478 ^ _215533) ^ [] : [-(leq(n0, 475 ^ [_232611, _232613]))], (482 ^ _215533) ^ [] : [-(leq(n0, 476 ^ [_232611, _232613]))], (486 ^ _215533) ^ [] : [a_select3(_232613, 475 ^ [_232611, _232613], 476 ^ [_232611, _232613]) = a_select3(_232613, 476 ^ [_232611, _232613], 475 ^ [_232611, _232613])], (480 ^ _215533) ^ [] : [-(leq(475 ^ [_232611, _232613], _232611))]], 487 ^ _215533 : [(488 ^ _215533) ^ [_233424, _233426, _233428, _233430] : [-(a_select3(tptp_update3(_232613, _233426, _233426, _233424), _233430, _233428) = a_select3(tptp_update3(_232613, _233426, _233426, _233424), _233428, _233430)), leq(n0, _233430), leq(_233430, _232611), leq(n0, _233428), leq(_233428, _232611), leq(n0, _233426), leq(_233426, _232611)]]], (802 ^ _215533) ^ [_248058, _248060, _248062, _248064, _248066, _248068] : [-(a_select3(tptp_update3(_248060, _248064, _248062, _248058), _248068, _248066) = _248058), 807 ^ _215533 : [(814 ^ _215533) ^ [] : [-(leq(806 ^ [_248058, _248060, _248062, _248064, _248066, _248068], _248062))], (808 ^ _215533) ^ [] : [-(leq(n0, 805 ^ [_248058, _248060, _248062, _248064, _248066, _248068]))], (812 ^ _215533) ^ [] : [-(leq(805 ^ [_248058, _248060, _248062, _248064, _248066, _248068], _248064))], (816 ^ _215533) ^ [] : [a_select3(_248060, 805 ^ [_248058, _248060, _248062, _248064, _248066, _248068], 806 ^ [_248058, _248060, _248062, _248064, _248066, _248068]) = _248058], (810 ^ _215533) ^ [] : [-(leq(n0, 806 ^ [_248058, _248060, _248062, _248064, _248066, _248068]))]], leq(n0, _248068), leq(_248068, _248064), leq(n0, _248066), leq(_248066, _248062)], (1081 ^ _215533) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (392 ^ _215533) ^ [_229408, _229410, _229412, _229414, _229416, _229418, _229420] : [-(a_select3(tptp_const_array2(dim(_229418, _229416), dim(_229412, _229410), _229408), _229420, _229414) = _229408), leq(_229418, _229420), leq(_229420, _229416), leq(_229412, _229414), leq(_229414, _229410)], (1065 ^ _215533) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (86 ^ _215533) ^ [_218456, _218458, _218460, _218462] : [-(tptp_const_array1(_218462, _218458) = tptp_const_array1(_218460, _218456)), _218462 = _218460, _218458 = _218456], (1099 ^ _215533) ^ [] : [-(leq(n0, 1095 ^ []))], (1047 ^ _215533) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (186 ^ _215533) ^ [_222050, _222052] : [_222052 = _222050, -(pred(_222052) = pred(_222050))], (1055 ^ _215533) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1075 ^ _215533) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (967 ^ _215533) ^ [_253371] : [-(_253371 = n0), leq(n0, _253371), leq(_253371, n0)], (734 ^ _215533) ^ [] : [-(succ(tptp_minus_1) = n0)], (1061 ^ _215533) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (991 ^ _215533) ^ [_254009] : [leq(n0, _254009), leq(_254009, n2), -(_254009 = n0), -(_254009 = n1), -(_254009 = n2)], (736 ^ _215533) ^ [_245315] : [-(plus(_245315, n1) = succ(_245315))], (2 ^ _215533) ^ [_215677] : [-(_215677 = _215677)], (909 ^ _215533) ^ [] : [-(gt(n5, n3))], (907 ^ _215533) ^ [] : [-(gt(n4, n3))], (768 ^ _215533) ^ [_246660, _246662] : [leq(_246662, _246660), -(leq(succ(_246662), succ(_246660)))], (869 ^ _215533) ^ [] : [-(gt(n5, n4))], (1035 ^ _215533) ^ [] : [-(succ(n0) = n1)], (911 ^ _215533) ^ [_252043] : [leq(n0, _252043), leq(_252043, n4), -(_252043 = n0), -(_252043 = n1), -(_252043 = n2), -(_252043 = n3), -(_252043 = n4)], (442 ^ _215533) ^ [_231307, _231309] : [445 ^ _215533 : [(452 ^ _215533) ^ [] : [-(leq(444 ^ [_231307, _231309], _231307))], (446 ^ _215533) ^ [] : [-(leq(n0, 443 ^ [_231307, _231309]))], (450 ^ _215533) ^ [] : [-(leq(n0, 444 ^ [_231307, _231309]))], (454 ^ _215533) ^ [] : [a_select3(_231309, 443 ^ [_231307, _231309], 444 ^ [_231307, _231309]) = a_select3(_231309, 444 ^ [_231307, _231309], 443 ^ [_231307, _231309])], (448 ^ _215533) ^ [] : [-(leq(443 ^ [_231307, _231309], _231307))]], 455 ^ _215533 : [(456 ^ _215533) ^ [_232064, _232066] : [-(a_select3(inv(_231309), _232066, _232064) = a_select3(inv(_231309), _232064, _232066)), leq(n0, _232066), leq(_232066, _231307), leq(n0, _232064), leq(_232064, _231307)]]], (756 ^ _215533) ^ [_246185] : [-(minus(_246185, n1) = pred(_246185))], (885 ^ _215533) ^ [] : [-(gt(n5, n0))], (887 ^ _215533) ^ [] : [-(gt(n1, n0))], (1039 ^ _215533) ^ [] : [-(succ(succ(succ(n0))) = n3)], (740 ^ _215533) ^ [_245481] : [-(plus(_245481, n2) = succ(succ(_245481)))], (1041 ^ _215533) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1033 ^ _215533) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1093 ^ _215533) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (899 ^ _215533) ^ [] : [-(gt(n3, n1))], (338 ^ _215533) ^ [_227454, _227456] : [leq(_227456, pred(_227454)), -(gt(_227454, _227456))], (370 ^ _215533) ^ [_228541, _228543] : [leq(n0, _228543), -(leq(uniform_int_rnd(_228541, _228543), _228543))], (1067 ^ _215533) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (750 ^ _215533) ^ [_245914] : [-(plus(n4, _245914) = succ(succ(succ(succ(_245914)))))], (1079 ^ _215533) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (136 ^ _215533) ^ [_220267, _220269, _220271, _220273] : [-(tptp_madd(_220273, _220269) = tptp_madd(_220271, _220267)), _220273 = _220271, _220269 = _220267], (350 ^ _215533) ^ [_227807] : [-(gt(succ(_227807), _227807))], (1087 ^ _215533) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (162 ^ _215533) ^ [_221231, _221233, _221235, _221237, _221239, _221241] : [-(sum(_221241, _221237, _221233) = sum(_221239, _221235, _221231)), _221241 = _221239, _221237 = _221235, _221233 = _221231], (877 ^ _215533) ^ [] : [-(gt(n1, tptp_minus_1))], (905 ^ _215533) ^ [] : [-(gt(n3, n2))], (560 ^ _215533) ^ [_236338, _236340, _236342] : [565 ^ _215533 : [(572 ^ _215533) ^ [] : [-(leq(564 ^ [_236338, _236340, _236342], _236338))], (566 ^ _215533) ^ [] : [-(leq(n0, 563 ^ [_236338, _236340, _236342]))], (570 ^ _215533) ^ [] : [-(leq(n0, 564 ^ [_236338, _236340, _236342]))], (574 ^ _215533) ^ [] : [a_select3(_236342, 563 ^ [_236338, _236340, _236342], 564 ^ [_236338, _236340, _236342]) = a_select3(_236342, 564 ^ [_236338, _236340, _236342], 563 ^ [_236338, _236340, _236342])], (568 ^ _215533) ^ [] : [-(leq(563 ^ [_236338, _236340, _236342], _236338))]], 577 ^ _215533 : [(584 ^ _215533) ^ [] : [-(leq(576 ^ [_236338, _236340, _236342], _236338))], (578 ^ _215533) ^ [] : [-(leq(n0, 575 ^ [_236338, _236340, _236342]))], (582 ^ _215533) ^ [] : [-(leq(n0, 576 ^ [_236338, _236340, _236342]))], (586 ^ _215533) ^ [] : [a_select3(_236340, 575 ^ [_236338, _236340, _236342], 576 ^ [_236338, _236340, _236342]) = a_select3(_236340, 576 ^ [_236338, _236340, _236342], 575 ^ [_236338, _236340, _236342])], (580 ^ _215533) ^ [] : [-(leq(575 ^ [_236338, _236340, _236342], _236338))]], 587 ^ _215533 : [(588 ^ _215533) ^ [_237847, _237849] : [-(a_select3(tptp_msub(_236342, _236340), _237849, _237847) = a_select3(tptp_msub(_236342, _236340), _237847, _237849)), leq(n0, _237849), leq(_237849, _236338), leq(n0, _237847), leq(_237847, _236338)]]], (834 ^ _215533) ^ [_249400, _249402, _249404] : [-(a_select2(tptp_update2(_249404, _249402, _249400), _249402) = _249400)], (732 ^ _215533) ^ [_245180] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _245180))], (34 ^ _215533) ^ [_216773, _216775, _216777, _216779] : [-(geq(_216777, _216773)), geq(_216779, _216775), _216779 = _216777, _216775 = _216773], (1051 ^ _215533) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1071 ^ _215533) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (146 ^ _215533) ^ [_220626, _220628, _220630, _220632] : [-(tptp_mmul(_220632, _220628) = tptp_mmul(_220630, _220626)), _220632 = _220630, _220628 = _220626], (883 ^ _215533) ^ [] : [-(gt(n4, n0))], (76 ^ _215533) ^ [_218097, _218099, _218101, _218103] : [-(uniform_int_rnd(_218103, _218099) = uniform_int_rnd(_218101, _218097)), _218103 = _218101, _218099 = _218097], (875 ^ _215533) ^ [] : [-(gt(n0, tptp_minus_1))], (20 ^ _215533) ^ [_216329, _216331, _216333, _216335] : [-(lt(_216333, _216329)), lt(_216335, _216331), _216335 = _216333, _216331 = _216329], (274 ^ _215533) ^ [_225320, _225322, _225324] : [-(gt(_225324, _225320)), gt(_225324, _225322), gt(_225322, _225320)], (746 ^ _215533) ^ [_245738] : [-(plus(n3, _245738) = succ(succ(succ(_245738))))], (120 ^ _215533) ^ [_219662, _219664] : [_219664 = _219662, -(inv(_219664) = inv(_219662))], (286 ^ _215533) ^ [_225677] : [-(leq(_225677, _225677))], (376 ^ _215533) ^ [_228757, _228759] : [leq(n0, _228759), -(leq(n0, uniform_int_rnd(_228757, _228759)))], (754 ^ _215533) ^ [_246094] : [-(plus(n5, _246094) = succ(succ(succ(succ(succ(_246094))))))], (96 ^ _215533) ^ [_218843, _218845, _218847, _218849, _218851, _218853] : [-(tptp_const_array2(_218853, _218849, _218845) = tptp_const_array2(_218851, _218847, _218843)), _218853 = _218851, _218849 = _218847, _218845 = _218843], (344 ^ _215533) ^ [_227620, _227622] : [gt(_227620, _227622), -(leq(_227622, pred(_227620)))], (1091 ^ _215533) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (156 ^ _215533) ^ [_220957, _220959] : [_220959 = _220957, -(trans(_220959) = trans(_220957))], (410 ^ _215533) ^ [_230003, _230005] : [413 ^ _215533 : [(420 ^ _215533) ^ [] : [-(leq(412 ^ [_230003, _230005], _230003))], (414 ^ _215533) ^ [] : [-(leq(n0, 411 ^ [_230003, _230005]))], (418 ^ _215533) ^ [] : [-(leq(n0, 412 ^ [_230003, _230005]))], (422 ^ _215533) ^ [] : [a_select3(_230005, 411 ^ [_230003, _230005], 412 ^ [_230003, _230005]) = a_select3(_230005, 412 ^ [_230003, _230005], 411 ^ [_230003, _230005])], (416 ^ _215533) ^ [] : [-(leq(411 ^ [_230003, _230005], _230003))]], 423 ^ _215533 : [(424 ^ _215533) ^ [_230760, _230762] : [-(a_select3(trans(_230005), _230762, _230760) = a_select3(trans(_230005), _230760, _230762)), leq(n0, _230762), leq(_230762, _230003), leq(n0, _230760), leq(_230760, _230003)]]], (328 ^ _215533) ^ [_227123, _227125] : [-(gt(_227123, _227125)), leq(_227125, _227123), -(_227125 = _227123)], (867 ^ _215533) ^ [] : [def = use], (62 ^ _215533) ^ [_217641, _217643, _217645, _217647] : [-(leq(_217645, _217641)), leq(_217647, _217643), _217647 = _217645, _217643 = _217641], (220 ^ _215533) ^ [_223372, _223374, _223376, _223378, _223380, _223382] : [-(tptp_update2(_223382, _223378, _223374) = tptp_update2(_223380, _223376, _223372)), _223382 = _223380, _223378 = _223376, _223374 = _223372], (977 ^ _215533) ^ [_253646] : [leq(n0, _253646), leq(_253646, n1), -(_253646 = n0), -(_253646 = n1)], (1049 ^ _215533) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1097 ^ _215533) ^ [] : [-(leq(n0, 1094 ^ []))], (873 ^ _215533) ^ [] : [-(gt(n5, tptp_minus_1))], (264 ^ _215533) ^ [_225005, _225007] : [-(gt(_225007, _225005)), -(gt(_225005, _225007)), -(_225007 = _225005)], (730 ^ _215533) ^ [_245098] : [-(sum(n0, tptp_minus_1, _245098) = n0)], (738 ^ _215533) ^ [_245398] : [-(plus(n1, _245398) = succ(_245398))], (1043 ^ _215533) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1009 ^ _215533) ^ [_254458] : [leq(n0, _254458), leq(_254458, n3), -(_254458 = n0), -(_254458 = n1), -(_254458 = n2), -(_254458 = n3)], (1077 ^ _215533) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (110 ^ _215533) ^ [_219331, _219333, _219335, _219337] : [-(dim(_219337, _219333) = dim(_219335, _219331)), _219337 = _219335, _219333 = _219331], (316 ^ _215533) ^ [_226701, _226703] : [leq(_226701, _226703), -(geq(_226703, _226701))], (670 ^ _215533) ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431] : [675 ^ _215533 : [(682 ^ _215533) ^ [] : [-(leq(674 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], _241417))], (676 ^ _215533) ^ [] : [-(leq(n0, 673 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]))], (680 ^ _215533) ^ [] : [-(leq(n0, 674 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]))], (684 ^ _215533) ^ [] : [a_select3(_241425, 673 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], 674 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]) = a_select3(_241425, 674 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], 673 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431])], (678 ^ _215533) ^ [] : [-(leq(673 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], _241417))]], 689 ^ _215533 : [(696 ^ _215533) ^ [] : [-(leq(688 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], _241419))], (690 ^ _215533) ^ [] : [-(leq(n0, 687 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]))], (694 ^ _215533) ^ [] : [-(leq(n0, 688 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]))], (698 ^ _215533) ^ [] : [a_select3(_241431, 687 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], 688 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]) = a_select3(_241431, 688 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], 687 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431])], (692 ^ _215533) ^ [] : [-(leq(687 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], _241419))]], 701 ^ _215533 : [(708 ^ _215533) ^ [] : [-(leq(700 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], _241419))], (702 ^ _215533) ^ [] : [-(leq(n0, 699 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]))], (706 ^ _215533) ^ [] : [-(leq(n0, 700 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]))], (710 ^ _215533) ^ [] : [a_select3(_241421, 699 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], 700 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431]) = a_select3(_241421, 700 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], 699 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431])], (704 ^ _215533) ^ [] : [-(leq(699 ^ [_241417, _241419, _241421, _241423, _241425, _241427, _241429, _241431], _241419))]], 711 ^ _215533 : [(712 ^ _215533) ^ [_244345, _244347] : [-(a_select3(tptp_madd(_241431, tptp_mmul(_241429, tptp_mmul(tptp_madd(tptp_mmul(_241427, tptp_mmul(_241425, trans(_241427))), tptp_mmul(_241423, tptp_mmul(_241421, trans(_241423)))), trans(_241429)))), _244347, _244345) = a_select3(tptp_madd(_241431, tptp_mmul(_241429, tptp_mmul(tptp_madd(tptp_mmul(_241427, tptp_mmul(_241425, trans(_241427))), tptp_mmul(_241423, tptp_mmul(_241421, trans(_241423)))), trans(_241429)))), _244345, _244347)), leq(n0, _244347), leq(_244347, _241419), leq(n0, _244345), leq(_244345, _241419)]]], (1103 ^ _215533) ^ [] : [-(leq(1095 ^ [], tptp_minus_1))], (752 ^ _215533) ^ [_246003] : [-(plus(_246003, n5) = succ(succ(succ(succ(succ(_246003))))))], (234 ^ _215533) ^ [_223832, _223834] : [_223834 = _223832, -(succ(_223834) = succ(_223832))], (891 ^ _215533) ^ [] : [-(gt(n3, n0))], (742 ^ _215533) ^ [_245566] : [-(plus(n2, _245566) = succ(succ(_245566)))], (176 ^ _215533) ^ [_221719, _221721, _221723, _221725] : [-(plus(_221725, _221721) = plus(_221723, _221719)), _221725 = _221723, _221721 = _221719], (358 ^ _215533) ^ [_228159, _228161] : [leq(_228161, _228159), -(gt(succ(_228159), _228161))], (382 ^ _215533) ^ [_229001, _229003, _229005, _229007] : [-(a_select2(tptp_const_array1(dim(_229005, _229003), _229001), _229007) = _229001), leq(_229005, _229007), leq(_229007, _229003)], (606 ^ _215533) ^ [_238433, _238435, _238437] : [609 ^ _215533 : [(616 ^ _215533) ^ [] : [-(leq(608 ^ [_238433, _238435, _238437], _238433))], (610 ^ _215533) ^ [] : [-(leq(n0, 607 ^ [_238433, _238435, _238437]))], (614 ^ _215533) ^ [] : [-(leq(n0, 608 ^ [_238433, _238435, _238437]))], (618 ^ _215533) ^ [] : [a_select3(_238435, 607 ^ [_238433, _238435, _238437], 608 ^ [_238433, _238435, _238437]) = a_select3(_238435, 608 ^ [_238433, _238435, _238437], 607 ^ [_238433, _238435, _238437])], (612 ^ _215533) ^ [] : [-(leq(607 ^ [_238433, _238435, _238437], _238433))]], 619 ^ _215533 : [(620 ^ _215533) ^ [_239246, _239248] : [-(a_select3(tptp_mmul(_238437, tptp_mmul(_238435, trans(_238437))), _239248, _239246) = a_select3(tptp_mmul(_238437, tptp_mmul(_238435, trans(_238437))), _239246, _239248)), leq(n0, _239248), leq(_239248, _238433), leq(n0, _239246), leq(_239246, _238433)]]], (780 ^ _215533) ^ [_247094, _247096] : [leq(minus(_247096, _247094), _247096), -(leq(n0, _247094))], (871 ^ _215533) ^ [] : [-(gt(n4, tptp_minus_1))], (865 ^ _215533) ^ [] : [-(true)], (1105 ^ _215533) ^ [] : [a_select3(z_defuse, 1094 ^ [], 1095 ^ []) = use], (288 ^ _215533) ^ [_225798, _225800, _225802] : [-(leq(_225802, _225798)), leq(_225802, _225800), leq(_225800, _225798)], (786 ^ _215533) ^ [_247323, _247325, _247327, _247329] : [-(a_select3(tptp_update3(_247329, _247327, _247325, _247323), _247327, _247325) = _247323)], (310 ^ _215533) ^ [_226539, _226541] : [geq(_226541, _226539), -(leq(_226539, _226541))], (1073 ^ _215533) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (4 ^ _215533) ^ [_215784, _215786] : [_215786 = _215784, -(_215784 = _215786)], (364 ^ _215533) ^ [_228325, _228327] : [gt(succ(_228325), _228327), -(leq(_228327, _228325))], (744 ^ _215533) ^ [_245651] : [-(plus(_245651, n3) = succ(succ(succ(_245651))))], (10 ^ _215533) ^ [_215988, _215990, _215992] : [-(_215992 = _215988), _215992 = _215990, _215990 = _215988], (1063 ^ _215533) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (758 ^ _215533) ^ [_246268] : [-(pred(succ(_246268)) = _246268)], (1101 ^ _215533) ^ [] : [-(leq(1094 ^ [], n2))], (748 ^ _215533) ^ [_245825] : [-(plus(_245825, n4) = succ(succ(succ(succ(_245825)))))], (1057 ^ _215533) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1037 ^ _215533) ^ [] : [-(succ(succ(n0)) = n2)], (322 ^ _215533) ^ [_226913, _226915] : [gt(_226913, _226915), -(leq(_226915, _226913))]], input).
% 282.35/272.59  ncf('1',plain,[gt(tptp_minus_1, tptp_minus_1)],start(284 ^ 0,bind([[_225599], [tptp_minus_1]]))).
% 282.35/272.59  ncf('1.1',plain,[-(gt(tptp_minus_1, tptp_minus_1)), leq(succ(tptp_minus_1), tptp_minus_1)],extension(774 ^ 1,bind([[_246880, _246882], [tptp_minus_1, tptp_minus_1]]))).
% 282.35/272.59  ncf('1.1.1',plain,[-(leq(succ(tptp_minus_1), tptp_minus_1)), leq(n0, tptp_minus_1), n0 = succ(tptp_minus_1), tptp_minus_1 = tptp_minus_1],extension(62 ^ 2,bind([[_217641, _217643, _217645, _217647], [tptp_minus_1, tptp_minus_1, succ(tptp_minus_1), n0]]))).
% 282.35/272.59  ncf('1.1.1.1',plain,[-(leq(n0, tptp_minus_1)), leq(n0, 1095 ^ []), leq(1095 ^ [], tptp_minus_1)],extension(288 ^ 3,bind([[_225798, _225800, _225802], [tptp_minus_1, 1095 ^ [], n0]]))).
% 282.35/272.59  ncf('1.1.1.1.1',plain,[-(leq(n0, 1095 ^ []))],extension(1099 ^ 4)).
% 282.35/272.59  ncf('1.1.1.1.2',plain,[-(leq(1095 ^ [], tptp_minus_1))],extension(1103 ^ 4)).
% 282.35/272.59  ncf('1.1.1.2',plain,[-(n0 = succ(tptp_minus_1)), succ(tptp_minus_1) = n0],extension(4 ^ 3,bind([[_215784, _215786], [n0, succ(tptp_minus_1)]]))).
% 282.35/272.59  ncf('1.1.1.2.1',plain,[-(succ(tptp_minus_1) = n0)],extension(734 ^ 4)).
% 282.35/272.59  ncf('1.1.1.3',plain,[-(tptp_minus_1 = tptp_minus_1)],extension(2 ^ 3,bind([[_215677], [tptp_minus_1]]))).
% 282.35/272.59  %-----------------------------------------------------
% 282.35/272.59  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------