TSTP Solution File: NUM843+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM843+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 11:45:45 EDT 2023

% Result   : Theorem 0.33s 1.39s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM843+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 17:30:27 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.33/1.39  
% 0.33/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  ncf(matrix, plain, [(406 ^ _72989) ^ [] : [greater(vd390, vd391)], (76 ^ _72989) ^ [_75553, _75555, _75557, _75559] : [-(vplus(_75559, _75555) = vplus(_75557, _75553)), _75559 = _75557, _75555 = _75553], (86 ^ _72989) ^ [_75884, _75886] : [_75886 = _75884, -(vskolem2(_75886) = vskolem2(_75884))], (92 ^ _72989) ^ [_76082, _76084] : [_76084 = _76082, -(vsucc(_76084) = vsucc(_76082))], (2 ^ _72989) ^ [_73133] : [-(_73133 = _73133)], (4 ^ _72989) ^ [_73240, _73242] : [_73242 = _73240, -(_73240 = _73242)], (10 ^ _72989) ^ [_73444, _73446, _73448] : [-(_73448 = _73444), _73448 = _73446, _73446 = _73444], (20 ^ _72989) ^ [_73785, _73787, _73789, _73791] : [-(leq(_73789, _73785)), leq(_73791, _73787), _73791 = _73789, _73787 = _73785], (34 ^ _72989) ^ [_74229, _74231, _74233, _74235] : [-(geq(_74233, _74229)), geq(_74235, _74231), _74235 = _74233, _74231 = _74229], (48 ^ _72989) ^ [_74673, _74675, _74677, _74679] : [-(less(_74677, _74673)), less(_74679, _74675), _74679 = _74677, _74675 = _74673], (62 ^ _72989) ^ [_75097, _75099, _75101, _75103] : [-(greater(_75101, _75097)), greater(_75103, _75099), _75103 = _75101, _75099 = _75097], (98 ^ _72989) ^ [] : [leq(vd390, vd391)], (100 ^ _72989) ^ [] : [-(less(vd390, vplus(vd391, v1)))], (102 ^ _72989) ^ [_76415, _76417] : [greater(_76417, _76415), -(geq(_76417, vplus(_76415, v1)))], (108 ^ _72989) ^ [_76602] : [-(geq(_76602, v1))], (110 ^ _72989) ^ [_76737, _76739, _76741, _76743] : [-(geq(vplus(_76743, _76739), vplus(_76741, _76737))), geq(_76739, _76737), geq(_76743, _76741)], (120 ^ _72989) ^ [_77096, _77098, _77100, _77102] : [-(greater(vplus(_77102, _77098), vplus(_77100, _77096))), 121 ^ _72989 : [(122 ^ _72989) ^ [] : [greater(_77098, _77096), geq(_77102, _77100)], (128 ^ _72989) ^ [] : [geq(_77098, _77096), greater(_77102, _77100)]]], (136 ^ _72989) ^ [_77630, _77632, _77634, _77636] : [-(greater(vplus(_77636, _77632), vplus(_77634, _77630))), greater(_77632, _77630), greater(_77636, _77634)], (146 ^ _72989) ^ [_77975, _77977, _77979] : [less(vplus(_77979, _77975), vplus(_77977, _77975)), -(less(_77979, _77977))], (152 ^ _72989) ^ [_78217, _78219, _78221] : [vplus(_78221, _78217) = vplus(_78219, _78217), -(_78221 = _78219)], (158 ^ _72989) ^ [_78459, _78461, _78463] : [greater(vplus(_78463, _78459), vplus(_78461, _78459)), -(greater(_78463, _78461))], (164 ^ _72989) ^ [_78701, _78703, _78705] : [less(_78705, _78703), -(less(vplus(_78705, _78701), vplus(_78703, _78701)))], (170 ^ _72989) ^ [_78943, _78945, _78947] : [_78947 = _78945, -(vplus(_78947, _78943) = vplus(_78945, _78943))], (176 ^ _72989) ^ [_79185, _79187, _79189] : [greater(_79189, _79187), -(greater(vplus(_79189, _79185), vplus(_79187, _79185)))], (182 ^ _72989) ^ [_79398, _79400] : [-(greater(vplus(_79400, _79398), _79400))], (184 ^ _72989) ^ [_79524, _79526, _79528] : [-(leq(_79528, _79524)), leq(_79526, _79524), leq(_79528, _79526)], (194 ^ _72989) ^ [_79847, _79849, _79851] : [-(less(_79851, _79847)), 195 ^ _72989 : [(196 ^ _72989) ^ [] : [less(_79849, _79847), leq(_79851, _79849)], (202 ^ _72989) ^ [] : [leq(_79849, _79847), less(_79851, _79849)]]], (210 ^ _72989) ^ [_80339, _80341, _80343] : [-(less(_80343, _80339)), less(_80341, _80339), less(_80343, _80341)], (220 ^ _72989) ^ [_80648, _80650] : [leq(_80650, _80648), -(geq(_80648, _80650))], (226 ^ _72989) ^ [_80858, _80860] : [geq(_80860, _80858), -(leq(_80858, _80860))], (242 ^ _72989) ^ [_81349, _81351] : [243 ^ _72989 : [(244 ^ _72989) ^ [] : [less(_81349, _81351)], (246 ^ _72989) ^ [] : [_81349 = _81351]], -(leq(_81349, _81351))], (232 ^ _72989) ^ [_81097, _81099] : [leq(_81097, _81099), -(less(_81097, _81099)), -(_81097 = _81099)], (260 ^ _72989) ^ [_81916, _81918] : [261 ^ _72989 : [(262 ^ _72989) ^ [] : [greater(_81916, _81918)], (264 ^ _72989) ^ [] : [_81916 = _81918]], -(geq(_81916, _81918))], (250 ^ _72989) ^ [_81664, _81666] : [geq(_81664, _81666), -(greater(_81664, _81666)), -(_81664 = _81666)], (268 ^ _72989) ^ [_82202, _82204] : [less(_82204, _82202), -(greater(_82202, _82204))], (274 ^ _72989) ^ [_82412, _82414] : [greater(_82414, _82412), -(less(_82412, _82414))], (280 ^ _72989) ^ [_82622, _82624] : [-(_82624 = _82622), -(greater(_82624, _82622)), -(less(_82624, _82622))], (290 ^ _72989) ^ [_82923, _82925] : [_82925 = _82923, less(_82925, _82923)], (296 ^ _72989) ^ [_83136, _83138] : [greater(_83138, _83136), less(_83138, _83136)], (302 ^ _72989) ^ [_83349, _83351] : [_83351 = _83349, greater(_83351, _83349)], (308 ^ _72989) ^ [_83591, _83593] : [less(_83591, _83593), -(_83593 = vplus(_83591, 311 ^ [_83591, _83593]))], (315 ^ _72989) ^ [_83819, _83821] : [316 ^ _72989 : [(317 ^ _72989) ^ [_83892] : [_83821 = vplus(_83819, _83892)]], -(less(_83819, _83821))], (321 ^ _72989) ^ [_84088, _84090] : [greater(_84088, _84090), -(_84088 = vplus(_84090, 324 ^ [_84088, _84090]))], (328 ^ _72989) ^ [_84316, _84318] : [329 ^ _72989 : [(330 ^ _72989) ^ [_84389] : [_84316 = vplus(_84318, _84389)]], -(greater(_84316, _84318))], (334 ^ _72989) ^ [_84556, _84558] : [-(_84558 = _84556), -(_84558 = vplus(_84556, 339 ^ [_84556, _84558])), -(_84556 = vplus(_84558, 342 ^ [_84556, _84558]))], (346 ^ _72989) ^ [_84989, _84991] : [_84991 = _84989, 349 ^ _72989 : [(350 ^ _72989) ^ [_85111] : [_84989 = vplus(_84991, _85111)]]], (352 ^ _72989) ^ [_85230, _85232] : [353 ^ _72989 : [(354 ^ _72989) ^ [_85315] : [_85232 = vplus(_85230, _85315)]], 355 ^ _72989 : [(356 ^ _72989) ^ [_85379] : [_85230 = vplus(_85232, _85379)]]], (358 ^ _72989) ^ [_85499, _85501] : [_85501 = _85499, 361 ^ _72989 : [(362 ^ _72989) ^ [_85621] : [_85501 = vplus(_85499, _85621)]]], (364 ^ _72989) ^ [_85740, _85742] : [-(_85742 = _85740), 367 ^ _72989 : [(368 ^ _72989) ^ [_85866] : [vplus(_85866, _85742) = vplus(_85866, _85740)]]], (370 ^ _72989) ^ [_85972, _85974] : [_85972 = vplus(_85974, _85972)], (372 ^ _72989) ^ [_86069, _86071] : [-(vplus(_86069, _86071) = vplus(_86071, _86069))], (374 ^ _72989) ^ [_86169, _86171] : [-(vplus(vsucc(_86171), _86169) = vsucc(vplus(_86171, _86169)))], (376 ^ _72989) ^ [_86259] : [-(vplus(v1, _86259) = vsucc(_86259))], (378 ^ _72989) ^ [_86370, _86372, _86374] : [-(vplus(vplus(_86374, _86372), _86370) = vplus(_86374, vplus(_86372, _86370)))], (380 ^ _72989) ^ [_86498, _86500] : [-(vplus(_86500, vsucc(_86498)) = vsucc(vplus(_86500, _86498)))], (382 ^ _72989) ^ [_86554, _86556] : [-(vplus(_86556, v1) = vsucc(_86556))], (384 ^ _72989) ^ [_86656] : [-(_86656 = v1), -(_86656 = vsucc(vskolem2(_86656)))], (390 ^ _72989) ^ [_86841] : [vsucc(_86841) = _86841], (392 ^ _72989) ^ [_86950, _86952] : [-(_86952 = _86950), vsucc(_86952) = vsucc(_86950)], (404 ^ _72989) ^ [_87340] : [vsucc(_87340) = v1], (398 ^ _72989) ^ [_87172, _87174] : [vsucc(_87174) = vsucc(_87172), -(_87174 = _87172)]], input).
% 0.33/1.39  ncf('1',plain,[greater(vd390, vd391)],start(406 ^ 0)).
% 0.33/1.39  ncf('1.1',plain,[-(greater(vd390, vd391)), -(vd390 = vd391), -(less(vd390, vd391))],extension(280 ^ 1,bind([[_82622, _82624], [vd391, vd390]]))).
% 0.33/1.39  ncf('1.1.1',plain,[vd390 = vd391, -(leq(vd390, vd391))],extension(242 ^ 2,bind([[_81349, _81351], [vd390, vd391]]))).
% 0.33/1.39  ncf('1.1.1.1',plain,[leq(vd390, vd391)],extension(98 ^ 3)).
% 0.33/1.39  ncf('1.1.2',plain,[less(vd390, vd391), -(leq(vd390, vd391))],extension(242 ^ 2,bind([[_81349, _81351], [vd390, vd391]]))).
% 0.33/1.39  ncf('1.1.2.1',plain,[leq(vd390, vd391)],extension(98 ^ 3)).
% 0.33/1.39  %-----------------------------------------------------
% 0.33/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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