TSTP Solution File: NUM850+2 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM850+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n031.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 11:45:47 EDT 2023

% Result   : Theorem 0.34s 1.37s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM850+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12  % Command  : nanocop.sh %s %d
% 0.11/0.33  % Computer : n031.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May 18 17:20:10 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.34/1.37  
% 0.34/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  ncf(matrix, plain, [(428 ^ _80713) ^ [_96389] : [vd470 = vplus(vd471, _96389)], (76 ^ _80713) ^ [_83277, _83279, _83281, _83283] : [-(vmul(_83283, _83279) = vmul(_83281, _83277)), _83283 = _83281, _83279 = _83277], (86 ^ _80713) ^ [_83608, _83610] : [_83610 = _83608, -(vskolem2(_83610) = vskolem2(_83608))], (92 ^ _80713) ^ [_83826, _83828] : [_83828 = _83826, -(vsucc(_83828) = vsucc(_83826))], (98 ^ _80713) ^ [_84052, _84054, _84056, _84058] : [-(vplus(_84058, _84054) = vplus(_84056, _84052)), _84058 = _84056, _84054 = _84052], (2 ^ _80713) ^ [_80857] : [-(_80857 = _80857)], (4 ^ _80713) ^ [_80964, _80966] : [_80966 = _80964, -(_80964 = _80966)], (10 ^ _80713) ^ [_81168, _81170, _81172] : [-(_81172 = _81168), _81172 = _81170, _81170 = _81168], (20 ^ _80713) ^ [_81509, _81511, _81513, _81515] : [-(leq(_81513, _81509)), leq(_81515, _81511), _81515 = _81513, _81511 = _81509], (34 ^ _80713) ^ [_81953, _81955, _81957, _81959] : [-(geq(_81957, _81953)), geq(_81959, _81955), _81959 = _81957, _81955 = _81953], (48 ^ _80713) ^ [_82397, _82399, _82401, _82403] : [-(less(_82401, _82397)), less(_82403, _82399), _82403 = _82401, _82399 = _82397], (62 ^ _80713) ^ [_82821, _82823, _82825, _82827] : [-(greater(_82825, _82821)), greater(_82827, _82823), _82827 = _82825, _82823 = _82821], (108 ^ _80713) ^ [] : [-(greater(vd470, vd471))], (110 ^ _80713) ^ [_84449, _84451, _84453] : [-(vmul(vmul(_84453, _84451), _84449) = vmul(_84453, vmul(_84451, _84449)))], (112 ^ _80713) ^ [_84571, _84573, _84575] : [-(vmul(_84575, vplus(_84573, _84571)) = vplus(vmul(_84575, _84573), vmul(_84575, _84571)))], (114 ^ _80713) ^ [_84682, _84684] : [-(vmul(_84684, _84682) = vmul(_84682, _84684))], (116 ^ _80713) ^ [_84782, _84784] : [-(vmul(vsucc(_84784), _84782) = vplus(vmul(_84784, _84782), _84782))], (118 ^ _80713) ^ [_84873] : [-(vmul(v1, _84873) = _84873)], (120 ^ _80713) ^ [_84988, _84990] : [-(vmul(_84990, vsucc(_84988)) = vplus(vmul(_84990, _84988), _84990))], (122 ^ _80713) ^ [_85045, _85047] : [-(vmul(_85047, v1) = _85047)], (124 ^ _80713) ^ [_85159, _85161] : [less(_85161, vplus(_85159, v1)), -(leq(_85161, _85159))], (130 ^ _80713) ^ [_85375, _85377] : [greater(_85377, _85375), -(geq(_85377, vplus(_85375, v1)))], (136 ^ _80713) ^ [_85562] : [-(geq(_85562, v1))], (138 ^ _80713) ^ [_85697, _85699, _85701, _85703] : [-(geq(vplus(_85703, _85699), vplus(_85701, _85697))), geq(_85699, _85697), geq(_85703, _85701)], (148 ^ _80713) ^ [_86056, _86058, _86060, _86062] : [-(greater(vplus(_86062, _86058), vplus(_86060, _86056))), 149 ^ _80713 : [(150 ^ _80713) ^ [] : [greater(_86058, _86056), geq(_86062, _86060)], (156 ^ _80713) ^ [] : [geq(_86058, _86056), greater(_86062, _86060)]]], (164 ^ _80713) ^ [_86590, _86592, _86594, _86596] : [-(greater(vplus(_86596, _86592), vplus(_86594, _86590))), greater(_86592, _86590), greater(_86596, _86594)], (174 ^ _80713) ^ [_86935, _86937, _86939] : [less(vplus(_86939, _86935), vplus(_86937, _86935)), -(less(_86939, _86937))], (180 ^ _80713) ^ [_87177, _87179, _87181] : [vplus(_87181, _87177) = vplus(_87179, _87177), -(_87181 = _87179)], (186 ^ _80713) ^ [_87419, _87421, _87423] : [greater(vplus(_87423, _87419), vplus(_87421, _87419)), -(greater(_87423, _87421))], (192 ^ _80713) ^ [_87661, _87663, _87665] : [less(_87665, _87663), -(less(vplus(_87665, _87661), vplus(_87663, _87661)))], (198 ^ _80713) ^ [_87903, _87905, _87907] : [_87907 = _87905, -(vplus(_87907, _87903) = vplus(_87905, _87903))], (204 ^ _80713) ^ [_88145, _88147, _88149] : [greater(_88149, _88147), -(greater(vplus(_88149, _88145), vplus(_88147, _88145)))], (210 ^ _80713) ^ [_88358, _88360] : [-(greater(vplus(_88360, _88358), _88360))], (212 ^ _80713) ^ [_88484, _88486, _88488] : [-(leq(_88488, _88484)), leq(_88486, _88484), leq(_88488, _88486)], (222 ^ _80713) ^ [_88807, _88809, _88811] : [-(less(_88811, _88807)), 223 ^ _80713 : [(224 ^ _80713) ^ [] : [less(_88809, _88807), leq(_88811, _88809)], (230 ^ _80713) ^ [] : [leq(_88809, _88807), less(_88811, _88809)]]], (238 ^ _80713) ^ [_89299, _89301, _89303] : [-(less(_89303, _89299)), less(_89301, _89299), less(_89303, _89301)], (248 ^ _80713) ^ [_89608, _89610] : [leq(_89610, _89608), -(geq(_89608, _89610))], (264 ^ _80713) ^ [_90099, _90101] : [265 ^ _80713 : [(266 ^ _80713) ^ [] : [less(_90099, _90101)], (268 ^ _80713) ^ [] : [_90099 = _90101]], -(leq(_90099, _90101))], (254 ^ _80713) ^ [_89847, _89849] : [leq(_89847, _89849), -(less(_89847, _89849)), -(_89847 = _89849)], (282 ^ _80713) ^ [_90666, _90668] : [283 ^ _80713 : [(284 ^ _80713) ^ [] : [greater(_90666, _90668)], (286 ^ _80713) ^ [] : [_90666 = _90668]], -(geq(_90666, _90668))], (272 ^ _80713) ^ [_90414, _90416] : [geq(_90414, _90416), -(greater(_90414, _90416)), -(_90414 = _90416)], (290 ^ _80713) ^ [_90952, _90954] : [less(_90954, _90952), -(greater(_90952, _90954))], (296 ^ _80713) ^ [_91162, _91164] : [greater(_91164, _91162), -(less(_91162, _91164))], (302 ^ _80713) ^ [_91372, _91374] : [-(_91374 = _91372), -(greater(_91374, _91372)), -(less(_91374, _91372))], (312 ^ _80713) ^ [_91673, _91675] : [_91675 = _91673, less(_91675, _91673)], (318 ^ _80713) ^ [_91886, _91888] : [greater(_91888, _91886), less(_91888, _91886)], (324 ^ _80713) ^ [_92099, _92101] : [_92101 = _92099, greater(_92101, _92099)], (330 ^ _80713) ^ [_92341, _92343] : [less(_92341, _92343), -(_92343 = vplus(_92341, 333 ^ [_92341, _92343]))], (337 ^ _80713) ^ [_92569, _92571] : [338 ^ _80713 : [(339 ^ _80713) ^ [_92642] : [_92571 = vplus(_92569, _92642)]], -(less(_92569, _92571))], (343 ^ _80713) ^ [_92838, _92840] : [greater(_92838, _92840), -(_92838 = vplus(_92840, 346 ^ [_92838, _92840]))], (350 ^ _80713) ^ [_93066, _93068] : [351 ^ _80713 : [(352 ^ _80713) ^ [_93139] : [_93066 = vplus(_93068, _93139)]], -(greater(_93066, _93068))], (356 ^ _80713) ^ [_93306, _93308] : [-(_93308 = _93306), -(_93308 = vplus(_93306, 361 ^ [_93306, _93308])), -(_93306 = vplus(_93308, 364 ^ [_93306, _93308]))], (368 ^ _80713) ^ [_93739, _93741] : [_93741 = _93739, 371 ^ _80713 : [(372 ^ _80713) ^ [_93861] : [_93739 = vplus(_93741, _93861)]]], (374 ^ _80713) ^ [_93980, _93982] : [375 ^ _80713 : [(376 ^ _80713) ^ [_94065] : [_93982 = vplus(_93980, _94065)]], 377 ^ _80713 : [(378 ^ _80713) ^ [_94129] : [_93980 = vplus(_93982, _94129)]]], (380 ^ _80713) ^ [_94249, _94251] : [_94251 = _94249, 383 ^ _80713 : [(384 ^ _80713) ^ [_94371] : [_94251 = vplus(_94249, _94371)]]], (386 ^ _80713) ^ [_94490, _94492] : [-(_94492 = _94490), 389 ^ _80713 : [(390 ^ _80713) ^ [_94616] : [vplus(_94616, _94492) = vplus(_94616, _94490)]]], (392 ^ _80713) ^ [_94722, _94724] : [_94722 = vplus(_94724, _94722)], (394 ^ _80713) ^ [_94819, _94821] : [-(vplus(_94819, _94821) = vplus(_94821, _94819))], (396 ^ _80713) ^ [_94919, _94921] : [-(vplus(vsucc(_94921), _94919) = vsucc(vplus(_94921, _94919)))], (398 ^ _80713) ^ [_95009] : [-(vplus(v1, _95009) = vsucc(_95009))], (400 ^ _80713) ^ [_95120, _95122, _95124] : [-(vplus(vplus(_95124, _95122), _95120) = vplus(_95124, vplus(_95122, _95120)))], (402 ^ _80713) ^ [_95248, _95250] : [-(vplus(_95250, vsucc(_95248)) = vsucc(vplus(_95250, _95248)))], (404 ^ _80713) ^ [_95304, _95306] : [-(vplus(_95306, v1) = vsucc(_95306))], (406 ^ _80713) ^ [_95406] : [-(_95406 = v1), -(_95406 = vsucc(vskolem2(_95406)))], (412 ^ _80713) ^ [_95591] : [vsucc(_95591) = _95591], (414 ^ _80713) ^ [_95700, _95702] : [-(_95702 = _95700), vsucc(_95702) = vsucc(_95700)], (426 ^ _80713) ^ [_96090] : [vsucc(_96090) = v1], (420 ^ _80713) ^ [_95922, _95924] : [vsucc(_95924) = vsucc(_95922), -(_95924 = _95922)]], input).
% 0.34/1.37  ncf('1',plain,[vd470 = vplus(vd471, 346 ^ [vd470, vd471])],start(428 ^ 0,bind([[_96389], [346 ^ [vd470, vd471]]]))).
% 0.34/1.37  ncf('1.1',plain,[-(vd470 = vplus(vd471, 346 ^ [vd470, vd471])), greater(vd470, vd471)],extension(343 ^ 1,bind([[_92838, _92840], [vd470, vd471]]))).
% 0.34/1.37  ncf('1.1.1',plain,[-(greater(vd470, vd471))],extension(108 ^ 2)).
% 0.34/1.37  %-----------------------------------------------------
% 0.34/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------