%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWV197+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 12:20:09 EDT 2023

% Result   : Theorem 0.33s 1.38s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV197+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 03:02:43 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.33/1.38  
% 0.33/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  ncf(matrix, plain, [(1153 ^ _216477) ^ [] : [-(leq(n0, 1150 ^ []))], (1155 ^ _216477) ^ [] : [-(leq(n0, 1151 ^ []))], (1157 ^ _216477) ^ [] : [-(leq(1150 ^ [], n2))], (1159 ^ _216477) ^ [] : [-(leq(1151 ^ [], pred(pv5)))], (1179 ^ _216477) ^ [] : [a_select3(z_defuse, 1150 ^ [], 1151 ^ []) = use], (1161 ^ _216477) ^ [] : [n0 = 1150 ^ [], pv5 = 1151 ^ []], (1167 ^ _216477) ^ [] : [n1 = 1150 ^ [], pv5 = 1151 ^ []], (1173 ^ _216477) ^ [] : [n2 = 1150 ^ [], pv5 = 1151 ^ []], (1055 ^ _216477) ^ [] : [-(a_select2(rho_defuse, n0) = use)], (1057 ^ _216477) ^ [] : [-(a_select2(rho_defuse, n1) = use)], (1059 ^ _216477) ^ [] : [-(a_select2(rho_defuse, n2) = use)], (1061 ^ _216477) ^ [] : [-(a_select2(sigma_defuse, n0) = use)], (1063 ^ _216477) ^ [] : [-(a_select2(sigma_defuse, n1) = use)], (1065 ^ _216477) ^ [] : [-(a_select2(sigma_defuse, n2) = use)], (1067 ^ _216477) ^ [] : [-(a_select2(sigma_defuse, n3) = use)], (1069 ^ _216477) ^ [] : [-(a_select2(sigma_defuse, n4) = use)], (1071 ^ _216477) ^ [] : [-(a_select2(sigma_defuse, n5) = use)], (1073 ^ _216477) ^ [] : [-(a_select3(u_defuse, n0, n0) = use)], (1075 ^ _216477) ^ [] : [-(a_select3(u_defuse, n1, n0) = use)], (1077 ^ _216477) ^ [] : [-(a_select3(u_defuse, n2, n0) = use)], (1079 ^ _216477) ^ [] : [-(a_select2(xinit_defuse, n3) = use)], (1081 ^ _216477) ^ [] : [-(a_select2(xinit_defuse, n4) = use)], (1083 ^ _216477) ^ [] : [-(a_select2(xinit_defuse, n5) = use)], (1085 ^ _216477) ^ [] : [-(a_select2(xinit_mean_defuse, n0) = use)], (1087 ^ _216477) ^ [] : [-(a_select2(xinit_mean_defuse, n1) = use)], (1089 ^ _216477) ^ [] : [-(a_select2(xinit_mean_defuse, n2) = use)], (1091 ^ _216477) ^ [] : [-(a_select2(xinit_mean_defuse, n3) = use)], (1093 ^ _216477) ^ [] : [-(a_select2(xinit_mean_defuse, n4) = use)], (1095 ^ _216477) ^ [] : [-(a_select2(xinit_mean_defuse, n5) = use)], (1097 ^ _216477) ^ [] : [-(a_select2(xinit_noise_defuse, n0) = use)], (1099 ^ _216477) ^ [] : [-(a_select2(xinit_noise_defuse, n1) = use)], (1101 ^ _216477) ^ [] : [-(a_select2(xinit_noise_defuse, n2) = use)], (1103 ^ _216477) ^ [] : [-(a_select2(xinit_noise_defuse, n3) = use)], (1105 ^ _216477) ^ [] : [-(a_select2(xinit_noise_defuse, n4) = use)], (1107 ^ _216477) ^ [] : [-(a_select2(xinit_noise_defuse, n5) = use)], (1109 ^ _216477) ^ [] : [-(leq(n0, pv5))], (1111 ^ _216477) ^ [] : [-(leq(pv5, n0))], (1113 ^ _216477) ^ [] : [-(leq(pv5, n998))], (1115 ^ _216477) ^ [_258397, _258399] : [-(a_select3(u_defuse, _258399, _258397) = use), leq(n0, _258399), leq(n0, _258397), leq(_258399, n2), leq(_258397, pred(pv5))], (1133 ^ _216477) ^ [_258862, _258864] : [-(a_select3(z_defuse, _258864, _258862) = use), leq(n0, _258864), leq(n0, _258862), leq(_258864, n2), leq(_258862, pred(pv5))], (2 ^ _216477) ^ [_216621] : [-(_216621 = _216621)], (4 ^ _216477) ^ [_216728, _216730] : [_216730 = _216728, -(_216728 = _216730)], (10 ^ _216477) ^ [_216932, _216934, _216936] : [-(_216936 = _216932), _216936 = _216934, _216934 = _216932], (20 ^ _216477) ^ [_217273, _217275, _217277, _217279] : [-(lt(_217277, _217273)), lt(_217279, _217275), _217279 = _217277, _217275 = _217273], (34 ^ _216477) ^ [_217717, _217719, _217721, _217723] : [-(geq(_217721, _217717)), geq(_217723, _217719), _217723 = _217721, _217719 = _217717], (48 ^ _216477) ^ [_218161, _218163, _218165, _218167] : [-(gt(_218165, _218161)), gt(_218167, _218163), _218167 = _218165, _218163 = _218161], (62 ^ _216477) ^ [_218585, _218587, _218589, _218591] : [-(leq(_218589, _218585)), leq(_218591, _218587), _218591 = _218589, _218587 = _218585], (76 ^ _216477) ^ [_219041, _219043, _219045, _219047] : [-(uniform_int_rnd(_219047, _219043) = uniform_int_rnd(_219045, _219041)), _219047 = _219045, _219043 = _219041], (86 ^ _216477) ^ [_219400, _219402, _219404, _219406] : [-(tptp_const_array1(_219406, _219402) = tptp_const_array1(_219404, _219400)), _219406 = _219404, _219402 = _219400], (96 ^ _216477) ^ [_219787, _219789, _219791, _219793, _219795, _219797] : [-(tptp_const_array2(_219797, _219793, _219789) = tptp_const_array2(_219795, _219791, _219787)), _219797 = _219795, _219793 = _219791, _219789 = _219787], (110 ^ _216477) ^ [_220275, _220277, _220279, _220281] : [-(dim(_220281, _220277) = dim(_220279, _220275)), _220281 = _220279, _220277 = _220275], (120 ^ _216477) ^ [_220606, _220608] : [_220608 = _220606, -(inv(_220608) = inv(_220606))], (126 ^ _216477) ^ [_220852, _220854, _220856, _220858] : [-(tptp_msub(_220858, _220854) = tptp_msub(_220856, _220852)), _220858 = _220856, _220854 = _220852], (136 ^ _216477) ^ [_221211, _221213, _221215, _221217] : [-(tptp_madd(_221217, _221213) = tptp_madd(_221215, _221211)), _221217 = _221215, _221213 = _221211], (146 ^ _216477) ^ [_221570, _221572, _221574, _221576] : [-(tptp_mmul(_221576, _221572) = tptp_mmul(_221574, _221570)), _221576 = _221574, _221572 = _221570], (156 ^ _216477) ^ [_221901, _221903] : [_221903 = _221901, -(trans(_221903) = trans(_221901))], (162 ^ _216477) ^ [_222175, _222177, _222179, _222181, _222183, _222185] : [-(sum(_222185, _222181, _222177) = sum(_222183, _222179, _222175)), _222185 = _222183, _222181 = _222179, _222177 = _222175], (176 ^ _216477) ^ [_222663, _222665, _222667, _222669] : [-(plus(_222669, _222665) = plus(_222667, _222663)), _222669 = _222667, _222665 = _222663], (186 ^ _216477) ^ [_223022, _223024, _223026, _223028] : [-(minus(_223028, _223024) = minus(_223026, _223022)), _223028 = _223026, _223024 = _223022], (196 ^ _216477) ^ [_223437, _223439, _223441, _223443, _223445, _223447, _223449, _223451] : [-(tptp_update3(_223451, _223447, _223443, _223439) = tptp_update3(_223449, _223445, _223441, _223437)), _223451 = _223449, _223447 = _223445, _223443 = _223441, _223439 = _223437], (214 ^ _216477) ^ [_224098, _224100, _224102, _224104, _224106, _224108] : [-(tptp_update2(_224108, _224104, _224100) = tptp_update2(_224106, _224102, _224098)), _224108 = _224106, _224104 = _224102, _224100 = _224098], (228 ^ _216477) ^ [_224558, _224560] : [_224560 = _224558, -(succ(_224560) = succ(_224558))], (234 ^ _216477) ^ [_224804, _224806, _224808, _224810] : [-(a_select2(_224810, _224806) = a_select2(_224808, _224804)), _224810 = _224808, _224806 = _224804], (244 ^ _216477) ^ [_225135, _225137] : [_225137 = _225135, -(pred(_225137) = pred(_225135))], (250 ^ _216477) ^ [_225389, _225391, _225393, _225395, _225397, _225399] : [-(a_select3(_225399, _225395, _225391) = a_select3(_225397, _225393, _225389)), _225399 = _225397, _225395 = _225393, _225391 = _225389], (869 ^ _216477) ^ [] : [-(gt(n5, n4))], (871 ^ _216477) ^ [] : [-(gt(n998, n4))], (873 ^ _216477) ^ [] : [-(gt(n998, n5))], (875 ^ _216477) ^ [] : [-(gt(n4, tptp_minus_1))], (877 ^ _216477) ^ [] : [-(gt(n5, tptp_minus_1))], (879 ^ _216477) ^ [] : [-(gt(n998, tptp_minus_1))], (881 ^ _216477) ^ [] : [-(gt(n0, tptp_minus_1))], (883 ^ _216477) ^ [] : [-(gt(n1, tptp_minus_1))], (885 ^ _216477) ^ [] : [-(gt(n2, tptp_minus_1))], (887 ^ _216477) ^ [] : [-(gt(n3, tptp_minus_1))], (889 ^ _216477) ^ [] : [-(gt(n4, n0))], (891 ^ _216477) ^ [] : [-(gt(n5, n0))], (893 ^ _216477) ^ [] : [-(gt(n998, n0))], (895 ^ _216477) ^ [] : [-(gt(n1, n0))], (897 ^ _216477) ^ [] : [-(gt(n2, n0))], (899 ^ _216477) ^ [] : [-(gt(n3, n0))], (901 ^ _216477) ^ [] : [-(gt(n4, n1))], (903 ^ _216477) ^ [] : [-(gt(n5, n1))], (905 ^ _216477) ^ [] : [-(gt(n998, n1))], (907 ^ _216477) ^ [] : [-(gt(n2, n1))], (909 ^ _216477) ^ [] : [-(gt(n3, n1))], (911 ^ _216477) ^ [] : [-(gt(n4, n2))], (913 ^ _216477) ^ [] : [-(gt(n5, n2))], (915 ^ _216477) ^ [] : [-(gt(n998, n2))], (917 ^ _216477) ^ [] : [-(gt(n3, n2))], (919 ^ _216477) ^ [] : [-(gt(n4, n3))], (921 ^ _216477) ^ [] : [-(gt(n5, n3))], (923 ^ _216477) ^ [] : [-(gt(n998, n3))], (925 ^ _216477) ^ [_253358] : [leq(n0, _253358), leq(_253358, n4), -(_253358 = n0), -(_253358 = n1), -(_253358 = n2), -(_253358 = n3), -(_253358 = n4)], (951 ^ _216477) ^ [_253979] : [leq(n0, _253979), leq(_253979, n5), -(_253979 = n0), -(_253979 = n1), -(_253979 = n2), -(_253979 = n3), -(_253979 = n4), -(_253979 = n5)], (981 ^ _216477) ^ [_254686] : [-(_254686 = n0), leq(n0, _254686), leq(_254686, n0)], (991 ^ _216477) ^ [_254961] : [leq(n0, _254961), leq(_254961, n1), -(_254961 = n0), -(_254961 = n1)], (1005 ^ _216477) ^ [_255324] : [leq(n0, _255324), leq(_255324, n2), -(_255324 = n0), -(_255324 = n1), -(_255324 = n2)], (1045 ^ _216477) ^ [] : [-(succ(succ(succ(succ(n0)))) = n4)], (1047 ^ _216477) ^ [] : [-(succ(succ(succ(succ(succ(n0))))) = n5)], (1049 ^ _216477) ^ [] : [-(succ(n0) = n1)], (1051 ^ _216477) ^ [] : [-(succ(succ(n0)) = n2)], (1053 ^ _216477) ^ [] : [-(succ(succ(succ(n0))) = n3)], (1023 ^ _216477) ^ [_255773] : [leq(n0, _255773), leq(_255773, n3), -(_255773 = n0), -(_255773 = n1), -(_255773 = n2), -(_255773 = n3)], (264 ^ _216477) ^ [_225949, _225951] : [-(gt(_225951, _225949)), -(gt(_225949, _225951)), -(_225951 = _225949)], (274 ^ _216477) ^ [_226264, _226266, _226268] : [-(gt(_226268, _226264)), gt(_226268, _226266), gt(_226266, _226264)], (284 ^ _216477) ^ [_226543] : [gt(_226543, _226543)], (286 ^ _216477) ^ [_226621] : [-(leq(_226621, _226621))], (288 ^ _216477) ^ [_226742, _226744, _226746] : [-(leq(_226746, _226742)), leq(_226746, _226744), leq(_226744, _226742)], (298 ^ _216477) ^ [_227080, _227082] : [lt(_227082, _227080), -(gt(_227080, _227082))], (304 ^ _216477) ^ [_227242, _227244] : [gt(_227242, _227244), -(lt(_227244, _227242))], (310 ^ _216477) ^ [_227483, _227485] : [geq(_227485, _227483), -(leq(_227483, _227485))], (316 ^ _216477) ^ [_227645, _227647] : [leq(_227645, _227647), -(geq(_227647, _227645))], (322 ^ _216477) ^ [_227857, _227859] : [gt(_227857, _227859), -(leq(_227859, _227857))], (328 ^ _216477) ^ [_228067, _228069] : [-(gt(_228067, _228069)), leq(_228069, _228067), -(_228069 = _228067)], (338 ^ _216477) ^ [_228398, _228400] : [leq(_228400, pred(_228398)), -(gt(_228398, _228400))], (344 ^ _216477) ^ [_228564, _228566] : [gt(_228564, _228566), -(leq(_228566, pred(_228564)))], (350 ^ _216477) ^ [_228751] : [-(gt(succ(_228751), _228751))], (352 ^ _216477) ^ [_228860, _228862] : [leq(_228862, _228860), -(leq(_228862, succ(_228860)))], (358 ^ _216477) ^ [_229103, _229105] : [leq(_229105, _229103), -(gt(succ(_229103), _229105))], (364 ^ _216477) ^ [_229269, _229271] : [gt(succ(_229269), _229271), -(leq(_229271, _229269))], (370 ^ _216477) ^ [_229485, _229487] : [leq(n0, _229487), -(leq(uniform_int_rnd(_229485, _229487), _229487))], (376 ^ _216477) ^ [_229701, _229703] : [leq(n0, _229703), -(leq(n0, uniform_int_rnd(_229701, _229703)))], (382 ^ _216477) ^ [_229945, _229947, _229949, _229951] : [-(a_select2(tptp_const_array1(dim(_229949, _229947), _229945), _229951) = _229945), leq(_229949, _229951), leq(_229951, _229947)], (392 ^ _216477) ^ [_230352, _230354, _230356, _230358, _230360, _230362, _230364] : [-(a_select3(tptp_const_array2(dim(_230362, _230360), dim(_230356, _230354), _230352), _230364, _230358) = _230352), leq(_230362, _230364), leq(_230364, _230360), leq(_230356, _230358), leq(_230358, _230354)], (410 ^ _216477) ^ [_230947, _230949] : [413 ^ _216477 : [(414 ^ _216477) ^ [] : [-(leq(n0, 411 ^ [_230947, _230949]))], (416 ^ _216477) ^ [] : [-(leq(411 ^ [_230947, _230949], _230947))], (418 ^ _216477) ^ [] : [-(leq(n0, 412 ^ [_230947, _230949]))], (420 ^ _216477) ^ [] : [-(leq(412 ^ [_230947, _230949], _230947))], (422 ^ _216477) ^ [] : [a_select3(_230949, 411 ^ [_230947, _230949], 412 ^ [_230947, _230949]) = a_select3(_230949, 412 ^ [_230947, _230949], 411 ^ [_230947, _230949])]], 423 ^ _216477 : [(424 ^ _216477) ^ [_231704, _231706] : [-(a_select3(trans(_230949), _231706, _231704) = a_select3(trans(_230949), _231704, _231706)), leq(n0, _231706), leq(_231706, _230947), leq(n0, _231704), leq(_231704, _230947)]]], (442 ^ _216477) ^ [_232251, _232253] : [445 ^ _216477 : [(446 ^ _216477) ^ [] : [-(leq(n0, 443 ^ [_232251, _232253]))], (448 ^ _216477) ^ [] : [-(leq(443 ^ [_232251, _232253], _232251))], (450 ^ _216477) ^ [] : [-(leq(n0, 444 ^ [_232251, _232253]))], (452 ^ _216477) ^ [] : [-(leq(444 ^ [_232251, _232253], _232251))], (454 ^ _216477) ^ [] : [a_select3(_232253, 443 ^ [_232251, _232253], 444 ^ [_232251, _232253]) = a_select3(_232253, 444 ^ [_232251, _232253], 443 ^ [_232251, _232253])]], 455 ^ _216477 : [(456 ^ _216477) ^ [_233008, _233010] : [-(a_select3(inv(_232253), _233010, _233008) = a_select3(inv(_232253), _233008, _233010)), leq(n0, _233010), leq(_233010, _232251), leq(n0, _233008), leq(_233008, _232251)]]], (474 ^ _216477) ^ [_233555, _233557] : [477 ^ _216477 : [(478 ^ _216477) ^ [] : [-(leq(n0, 475 ^ [_233555, _233557]))], (480 ^ _216477) ^ [] : [-(leq(475 ^ [_233555, _233557], _233555))], (482 ^ _216477) ^ [] : [-(leq(n0, 476 ^ [_233555, _233557]))], (484 ^ _216477) ^ [] : [-(leq(476 ^ [_233555, _233557], _233555))], (486 ^ _216477) ^ [] : [a_select3(_233557, 475 ^ [_233555, _233557], 476 ^ [_233555, _233557]) = a_select3(_233557, 476 ^ [_233555, _233557], 475 ^ [_233555, _233557])]], 487 ^ _216477 : [(488 ^ _216477) ^ [_234368, _234370, _234372, _234374] : [-(a_select3(tptp_update3(_233557, _234370, _234370, _234368), _234374, _234372) = a_select3(tptp_update3(_233557, _234370, _234370, _234368), _234372, _234374)), leq(n0, _234374), leq(_234374, _233555), leq(n0, _234372), leq(_234372, _233555), leq(n0, _234370), leq(_234370, _233555)]]], (514 ^ _216477) ^ [_235187, _235189, _235191] : [519 ^ _216477 : [(520 ^ _216477) ^ [] : [-(leq(n0, 517 ^ [_235187, _235189, _235191]))], (522 ^ _216477) ^ [] : [-(leq(517 ^ [_235187, _235189, _235191], _235187))], (524 ^ _216477) ^ [] : [-(leq(n0, 518 ^ [_235187, _235189, _235191]))], (526 ^ _216477) ^ [] : [-(leq(518 ^ [_235187, _235189, _235191], _235187))], (528 ^ _216477) ^ [] : [a_select3(_235191, 517 ^ [_235187, _235189, _235191], 518 ^ [_235187, _235189, _235191]) = a_select3(_235191, 518 ^ [_235187, _235189, _235191], 517 ^ [_235187, _235189, _235191])]], 531 ^ _216477 : [(532 ^ _216477) ^ [] : [-(leq(n0, 529 ^ [_235187, _235189, _235191]))], (534 ^ _216477) ^ [] : [-(leq(529 ^ [_235187, _235189, _235191], _235187))], (536 ^ _216477) ^ [] : [-(leq(n0, 530 ^ [_235187, _235189, _235191]))], (538 ^ _216477) ^ [] : [-(leq(530 ^ [_235187, _235189, _235191], _235187))], (540 ^ _216477) ^ [] : [a_select3(_235189, 529 ^ [_235187, _235189, _235191], 530 ^ [_235187, _235189, _235191]) = a_select3(_235189, 530 ^ [_235187, _235189, _235191], 529 ^ [_235187, _235189, _235191])]], 541 ^ _216477 : [(542 ^ _216477) ^ [_236696, _236698] : [-(a_select3(tptp_madd(_235191, _235189), _236698, _236696) = a_select3(tptp_madd(_235191, _235189), _236696, _236698)), leq(n0, _236698), leq(_236698, _235187), leq(n0, _236696), leq(_236696, _235187)]]], (560 ^ _216477) ^ [_237282, _237284, _237286] : [565 ^ _216477 : [(566 ^ _216477) ^ [] : [-(leq(n0, 563 ^ [_237282, _237284, _237286]))], (568 ^ _216477) ^ [] : [-(leq(563 ^ [_237282, _237284, _237286], _237282))], (570 ^ _216477) ^ [] : [-(leq(n0, 564 ^ [_237282, _237284, _237286]))], (572 ^ _216477) ^ [] : [-(leq(564 ^ [_237282, _237284, _237286], _237282))], (574 ^ _216477) ^ [] : [a_select3(_237286, 563 ^ [_237282, _237284, _237286], 564 ^ [_237282, _237284, _237286]) = a_select3(_237286, 564 ^ [_237282, _237284, _237286], 563 ^ [_237282, _237284, _237286])]], 577 ^ _216477 : [(578 ^ _216477) ^ [] : [-(leq(n0, 575 ^ [_237282, _237284, _237286]))], (580 ^ _216477) ^ [] : [-(leq(575 ^ [_237282, _237284, _237286], _237282))], (582 ^ _216477) ^ [] : [-(leq(n0, 576 ^ [_237282, _237284, _237286]))], (584 ^ _216477) ^ [] : [-(leq(576 ^ [_237282, _237284, _237286], _237282))], (586 ^ _216477) ^ [] : [a_select3(_237284, 575 ^ [_237282, _237284, _237286], 576 ^ [_237282, _237284, _237286]) = a_select3(_237284, 576 ^ [_237282, _237284, _237286], 575 ^ [_237282, _237284, _237286])]], 587 ^ _216477 : [(588 ^ _216477) ^ [_238791, _238793] : [-(a_select3(tptp_msub(_237286, _237284), _238793, _238791) = a_select3(tptp_msub(_237286, _237284), _238791, _238793)), leq(n0, _238793), leq(_238793, _237282), leq(n0, _238791), leq(_238791, _237282)]]], (606 ^ _216477) ^ [_239377, _239379, _239381] : [609 ^ _216477 : [(610 ^ _216477) ^ [] : [-(leq(n0, 607 ^ [_239377, _239379, _239381]))], (612 ^ _216477) ^ [] : [-(leq(607 ^ [_239377, _239379, _239381], _239377))], (614 ^ _216477) ^ [] : [-(leq(n0, 608 ^ [_239377, _239379, _239381]))], (616 ^ _216477) ^ [] : [-(leq(608 ^ [_239377, _239379, _239381], _239377))], (618 ^ _216477) ^ [] : [a_select3(_239379, 607 ^ [_239377, _239379, _239381], 608 ^ [_239377, _239379, _239381]) = a_select3(_239379, 608 ^ [_239377, _239379, _239381], 607 ^ [_239377, _239379, _239381])]], 619 ^ _216477 : [(620 ^ _216477) ^ [_240190, _240192] : [-(a_select3(tptp_mmul(_239381, tptp_mmul(_239379, trans(_239381))), _240192, _240190) = a_select3(tptp_mmul(_239381, tptp_mmul(_239379, trans(_239381))), _240190, _240192)), leq(n0, _240192), leq(_240192, _239377), leq(n0, _240190), leq(_240190, _239377)]]], (638 ^ _216477) ^ [_240809, _240811, _240813, _240815] : [641 ^ _216477 : [(642 ^ _216477) ^ [] : [-(leq(n0, 639 ^ [_240809, _240811, _240813, _240815]))], (644 ^ _216477) ^ [] : [-(leq(639 ^ [_240809, _240811, _240813, _240815], _240809))], (646 ^ _216477) ^ [] : [-(leq(n0, 640 ^ [_240809, _240811, _240813, _240815]))], (648 ^ _216477) ^ [] : [-(leq(640 ^ [_240809, _240811, _240813, _240815], _240809))], (650 ^ _216477) ^ [] : [a_select3(_240813, 639 ^ [_240809, _240811, _240813, _240815], 640 ^ [_240809, _240811, _240813, _240815]) = a_select3(_240813, 640 ^ [_240809, _240811, _240813, _240815], 639 ^ [_240809, _240811, _240813, _240815])]], 651 ^ _216477 : [(652 ^ _216477) ^ [_241666, _241668] : [-(a_select3(tptp_mmul(_240815, tptp_mmul(_240813, trans(_240815))), _241668, _241666) = a_select3(tptp_mmul(_240815, tptp_mmul(_240813, trans(_240815))), _241666, _241668)), leq(n0, _241668), leq(_241668, _240811), leq(n0, _241666), leq(_241666, _240811)]]], (670 ^ _216477) ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375] : [675 ^ _216477 : [(676 ^ _216477) ^ [] : [-(leq(n0, 673 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]))], (678 ^ _216477) ^ [] : [-(leq(673 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], _242361))], (680 ^ _216477) ^ [] : [-(leq(n0, 674 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]))], (682 ^ _216477) ^ [] : [-(leq(674 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], _242361))], (684 ^ _216477) ^ [] : [a_select3(_242369, 673 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], 674 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]) = a_select3(_242369, 674 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], 673 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375])]], 689 ^ _216477 : [(690 ^ _216477) ^ [] : [-(leq(n0, 687 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]))], (692 ^ _216477) ^ [] : [-(leq(687 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], _242363))], (694 ^ _216477) ^ [] : [-(leq(n0, 688 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]))], (696 ^ _216477) ^ [] : [-(leq(688 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], _242363))], (698 ^ _216477) ^ [] : [a_select3(_242375, 687 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], 688 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]) = a_select3(_242375, 688 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], 687 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375])]], 701 ^ _216477 : [(702 ^ _216477) ^ [] : [-(leq(n0, 699 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]))], (704 ^ _216477) ^ [] : [-(leq(699 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], _242363))], (706 ^ _216477) ^ [] : [-(leq(n0, 700 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]))], (708 ^ _216477) ^ [] : [-(leq(700 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], _242363))], (710 ^ _216477) ^ [] : [a_select3(_242365, 699 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], 700 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375]) = a_select3(_242365, 700 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375], 699 ^ [_242361, _242363, _242365, _242367, _242369, _242371, _242373, _242375])]], 711 ^ _216477 : [(712 ^ _216477) ^ [_245289, _245291] : [-(a_select3(tptp_madd(_242375, tptp_mmul(_242373, tptp_mmul(tptp_madd(tptp_mmul(_242371, tptp_mmul(_242369, trans(_242371))), tptp_mmul(_242367, tptp_mmul(_242365, trans(_242367)))), trans(_242373)))), _245291, _245289) = a_select3(tptp_madd(_242375, tptp_mmul(_242373, tptp_mmul(tptp_madd(tptp_mmul(_242371, tptp_mmul(_242369, trans(_242371))), tptp_mmul(_242367, tptp_mmul(_242365, trans(_242367)))), trans(_242373)))), _245289, _245291)), leq(n0, _245291), leq(_245291, _242363), leq(n0, _245289), leq(_245289, _242363)]]], (730 ^ _216477) ^ [_246042] : [-(sum(n0, tptp_minus_1, _246042) = n0)], (732 ^ _216477) ^ [_246124] : [-(tptp_float_0_0 = sum(n0, tptp_minus_1, _246124))], (734 ^ _216477) ^ [] : [-(succ(tptp_minus_1) = n0)], (736 ^ _216477) ^ [_246259] : [-(plus(_246259, n1) = succ(_246259))], (738 ^ _216477) ^ [_246342] : [-(plus(n1, _246342) = succ(_246342))], (740 ^ _216477) ^ [_246425] : [-(plus(_246425, n2) = succ(succ(_246425)))], (742 ^ _216477) ^ [_246510] : [-(plus(n2, _246510) = succ(succ(_246510)))], (744 ^ _216477) ^ [_246595] : [-(plus(_246595, n3) = succ(succ(succ(_246595))))], (746 ^ _216477) ^ [_246682] : [-(plus(n3, _246682) = succ(succ(succ(_246682))))], (748 ^ _216477) ^ [_246769] : [-(plus(_246769, n4) = succ(succ(succ(succ(_246769)))))], (750 ^ _216477) ^ [_246858] : [-(plus(n4, _246858) = succ(succ(succ(succ(_246858)))))], (752 ^ _216477) ^ [_246947] : [-(plus(_246947, n5) = succ(succ(succ(succ(succ(_246947))))))], (754 ^ _216477) ^ [_247038] : [-(plus(n5, _247038) = succ(succ(succ(succ(succ(_247038))))))], (756 ^ _216477) ^ [_247129] : [-(minus(_247129, n1) = pred(_247129))], (758 ^ _216477) ^ [_247212] : [-(pred(succ(_247212)) = _247212)], (760 ^ _216477) ^ [_247294] : [-(succ(pred(_247294)) = _247294)], (762 ^ _216477) ^ [_247434, _247436] : [leq(succ(_247436), succ(_247434)), -(leq(_247436, _247434))], (768 ^ _216477) ^ [_247604, _247606] : [leq(_247606, _247604), -(leq(succ(_247606), succ(_247604)))], (774 ^ _216477) ^ [_247824, _247826] : [leq(succ(_247826), _247824), -(gt(_247824, _247826))], (780 ^ _216477) ^ [_248038, _248040] : [leq(minus(_248040, _248038), _248040), -(leq(n0, _248038))], (786 ^ _216477) ^ [_248267, _248269, _248271, _248273] : [-(a_select3(tptp_update3(_248273, _248271, _248269, _248267), _248271, _248269) = _248267)], (788 ^ _216477) ^ [_248459, _248461, _248463, _248465, _248467, _248469, _248471] : [-(a_select3(tptp_update3(_248463, _248471, _248469, _248459), _248467, _248465) = _248461), -(_248471 = _248467), _248469 = _248465, a_select3(_248463, _248467, _248465) = _248461], (802 ^ _216477) ^ [_249002, _249004, _249006, _249008, _249010, _249012] : [-(a_select3(tptp_update3(_249004, _249008, _249006, _249002), _249012, _249010) = _249002), 807 ^ _216477 : [(808 ^ _216477) ^ [] : [-(leq(n0, 805 ^ [_249002, _249004, _249006, _249008, _249010, _249012]))], (810 ^ _216477) ^ [] : [-(leq(n0, 806 ^ [_249002, _249004, _249006, _249008, _249010, _249012]))], (812 ^ _216477) ^ [] : [-(leq(805 ^ [_249002, _249004, _249006, _249008, _249010, _249012], _249008))], (814 ^ _216477) ^ [] : [-(leq(806 ^ [_249002, _249004, _249006, _249008, _249010, _249012], _249006))], (816 ^ _216477) ^ [] : [a_select3(_249004, 805 ^ [_249002, _249004, _249006, _249008, _249010, _249012], 806 ^ [_249002, _249004, _249006, _249008, _249010, _249012]) = _249002]], leq(n0, _249012), leq(_249012, _249008), leq(n0, _249010), leq(_249010, _249006)], (834 ^ _216477) ^ [_250344, _250346, _250348] : [-(a_select2(tptp_update2(_250348, _250346, _250344), _250346) = _250344)], (836 ^ _216477) ^ [_250504, _250506, _250508, _250510, _250512] : [-(a_select2(tptp_update2(_250508, _250512, _250504), _250510) = _250506), -(_250512 = _250510), a_select2(_250508, _250510) = _250506], (865 ^ _216477) ^ [] : [-(true)], (867 ^ _216477) ^ [] : [def = use], (846 ^ _216477) ^ [_250884, _250886, _250888, _250890] : [-(a_select2(tptp_update2(_250886, _250888, _250884), _250890) = _250884), 850 ^ _216477 : [(851 ^ _216477) ^ [] : [-(leq(n0, 849 ^ [_250884, _250886, _250888, _250890]))], (853 ^ _216477) ^ [] : [-(leq(849 ^ [_250884, _250886, _250888, _250890], _250888))], (855 ^ _216477) ^ [] : [a_select2(_250886, 849 ^ [_250884, _250886, _250888, _250890]) = _250884]], leq(n0, _250890), leq(_250890, _250888)]], input).
% 0.33/1.38  ncf('1',plain,[a_select3(z_defuse, 1150 ^ [], 1151 ^ []) = use],start(1179 ^ 0)).
% 0.33/1.38  ncf('1.1',plain,[-(a_select3(z_defuse, 1150 ^ [], 1151 ^ []) = use), leq(n0, 1150 ^ []), leq(n0, 1151 ^ []), leq(1150 ^ [], n2), leq(1151 ^ [], pred(pv5))],extension(1133 ^ 1,bind([[_258862, _258864], [1151 ^ [], 1150 ^ []]]))).
% 0.33/1.38  ncf('1.1.1',plain,[-(leq(n0, 1150 ^ []))],extension(1153 ^ 2)).
% 0.33/1.38  ncf('1.1.2',plain,[-(leq(n0, 1151 ^ []))],extension(1155 ^ 2)).
% 0.33/1.38  ncf('1.1.3',plain,[-(leq(1150 ^ [], n2))],extension(1157 ^ 2)).
% 0.33/1.38  ncf('1.1.4',plain,[-(leq(1151 ^ [], pred(pv5)))],extension(1159 ^ 2)).
% 0.33/1.38  %-----------------------------------------------------
% 0.33/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------