TSTP Solution File: NUM846+1 by nanoCoP---2.0

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUM846+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 11:45:46 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM846+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n012.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 : Thu May 18 17:14:46 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(440 ^ _83554) ^ [] : [vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)], (76 ^ _83554) ^ [_86090, _86092] : [_86092 = _86090, -(vskolem2(_86092) = vskolem2(_86090))], (82 ^ _83554) ^ [_86308, _86310] : [_86310 = _86308, -(vsucc(_86310) = vsucc(_86308))], (88 ^ _83554) ^ [_86554, _86556, _86558, _86560] : [-(vplus(_86560, _86556) = vplus(_86558, _86554)), _86560 = _86558, _86556 = _86554], (98 ^ _83554) ^ [_86893, _86895, _86897, _86899] : [-(vmul(_86899, _86895) = vmul(_86897, _86893)), _86899 = _86897, _86895 = _86893], (2 ^ _83554) ^ [_83698] : [-(_83698 = _83698)], (4 ^ _83554) ^ [_83805, _83807] : [_83807 = _83805, -(_83805 = _83807)], (10 ^ _83554) ^ [_84009, _84011, _84013] : [-(_84013 = _84009), _84013 = _84011, _84011 = _84009], (20 ^ _83554) ^ [_84350, _84352, _84354, _84356] : [-(leq(_84354, _84350)), leq(_84356, _84352), _84356 = _84354, _84352 = _84350], (34 ^ _83554) ^ [_84794, _84796, _84798, _84800] : [-(geq(_84798, _84794)), geq(_84800, _84796), _84800 = _84798, _84796 = _84794], (48 ^ _83554) ^ [_85238, _85240, _85242, _85244] : [-(less(_85242, _85238)), less(_85244, _85240), _85244 = _85242, _85240 = _85238], (62 ^ _83554) ^ [_85662, _85664, _85666, _85668] : [-(greater(_85666, _85662)), greater(_85668, _85664), _85668 = _85666, _85664 = _85662], (108 ^ _83554) ^ [] : [-(vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436))], (110 ^ _83554) ^ [] : [-(vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439))))], (112 ^ _83554) ^ [] : [-(vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)))], (114 ^ _83554) ^ [] : [-(vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1)))], (116 ^ _83554) ^ [] : [-(vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436))], (118 ^ _83554) ^ [] : [-(vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437)))], (120 ^ _83554) ^ [_87541, _87543] : [-(vmul(_87543, _87541) = vmul(_87541, _87543))], (122 ^ _83554) ^ [_87641, _87643] : [-(vmul(vsucc(_87643), _87641) = vplus(vmul(_87643, _87641), _87641))], (124 ^ _83554) ^ [_87732] : [-(vmul(v1, _87732) = _87732)], (126 ^ _83554) ^ [_87847, _87849] : [-(vmul(_87849, vsucc(_87847)) = vplus(vmul(_87849, _87847), _87849))], (128 ^ _83554) ^ [_87904, _87906] : [-(vmul(_87906, v1) = _87906)], (130 ^ _83554) ^ [_88018, _88020] : [less(_88020, vplus(_88018, v1)), -(leq(_88020, _88018))], (136 ^ _83554) ^ [_88234, _88236] : [greater(_88236, _88234), -(geq(_88236, vplus(_88234, v1)))], (142 ^ _83554) ^ [_88421] : [-(geq(_88421, v1))], (144 ^ _83554) ^ [_88556, _88558, _88560, _88562] : [-(geq(vplus(_88562, _88558), vplus(_88560, _88556))), geq(_88558, _88556), geq(_88562, _88560)], (154 ^ _83554) ^ [_88915, _88917, _88919, _88921] : [-(greater(vplus(_88921, _88917), vplus(_88919, _88915))), 155 ^ _83554 : [(156 ^ _83554) ^ [] : [greater(_88917, _88915), geq(_88921, _88919)], (162 ^ _83554) ^ [] : [geq(_88917, _88915), greater(_88921, _88919)]]], (170 ^ _83554) ^ [_89449, _89451, _89453, _89455] : [-(greater(vplus(_89455, _89451), vplus(_89453, _89449))), greater(_89451, _89449), greater(_89455, _89453)], (180 ^ _83554) ^ [_89794, _89796, _89798] : [less(vplus(_89798, _89794), vplus(_89796, _89794)), -(less(_89798, _89796))], (186 ^ _83554) ^ [_90036, _90038, _90040] : [vplus(_90040, _90036) = vplus(_90038, _90036), -(_90040 = _90038)], (192 ^ _83554) ^ [_90278, _90280, _90282] : [greater(vplus(_90282, _90278), vplus(_90280, _90278)), -(greater(_90282, _90280))], (198 ^ _83554) ^ [_90520, _90522, _90524] : [less(_90524, _90522), -(less(vplus(_90524, _90520), vplus(_90522, _90520)))], (204 ^ _83554) ^ [_90762, _90764, _90766] : [_90766 = _90764, -(vplus(_90766, _90762) = vplus(_90764, _90762))], (210 ^ _83554) ^ [_91004, _91006, _91008] : [greater(_91008, _91006), -(greater(vplus(_91008, _91004), vplus(_91006, _91004)))], (216 ^ _83554) ^ [_91217, _91219] : [-(greater(vplus(_91219, _91217), _91219))], (218 ^ _83554) ^ [_91343, _91345, _91347] : [-(leq(_91347, _91343)), leq(_91345, _91343), leq(_91347, _91345)], (228 ^ _83554) ^ [_91666, _91668, _91670] : [-(less(_91670, _91666)), 229 ^ _83554 : [(230 ^ _83554) ^ [] : [less(_91668, _91666), leq(_91670, _91668)], (236 ^ _83554) ^ [] : [leq(_91668, _91666), less(_91670, _91668)]]], (244 ^ _83554) ^ [_92158, _92160, _92162] : [-(less(_92162, _92158)), less(_92160, _92158), less(_92162, _92160)], (254 ^ _83554) ^ [_92467, _92469] : [leq(_92469, _92467), -(geq(_92467, _92469))], (260 ^ _83554) ^ [_92677, _92679] : [geq(_92679, _92677), -(leq(_92677, _92679))], (276 ^ _83554) ^ [_93168, _93170] : [277 ^ _83554 : [(278 ^ _83554) ^ [] : [less(_93168, _93170)], (280 ^ _83554) ^ [] : [_93168 = _93170]], -(leq(_93168, _93170))], (266 ^ _83554) ^ [_92916, _92918] : [leq(_92916, _92918), -(less(_92916, _92918)), -(_92916 = _92918)], (294 ^ _83554) ^ [_93735, _93737] : [295 ^ _83554 : [(296 ^ _83554) ^ [] : [greater(_93735, _93737)], (298 ^ _83554) ^ [] : [_93735 = _93737]], -(geq(_93735, _93737))], (284 ^ _83554) ^ [_93483, _93485] : [geq(_93483, _93485), -(greater(_93483, _93485)), -(_93483 = _93485)], (302 ^ _83554) ^ [_94021, _94023] : [less(_94023, _94021), -(greater(_94021, _94023))], (308 ^ _83554) ^ [_94231, _94233] : [greater(_94233, _94231), -(less(_94231, _94233))], (314 ^ _83554) ^ [_94441, _94443] : [-(_94443 = _94441), -(greater(_94443, _94441)), -(less(_94443, _94441))], (324 ^ _83554) ^ [_94742, _94744] : [_94744 = _94742, less(_94744, _94742)], (330 ^ _83554) ^ [_94955, _94957] : [greater(_94957, _94955), less(_94957, _94955)], (336 ^ _83554) ^ [_95168, _95170] : [_95170 = _95168, greater(_95170, _95168)], (342 ^ _83554) ^ [_95410, _95412] : [less(_95410, _95412), -(_95412 = vplus(_95410, 345 ^ [_95410, _95412]))], (349 ^ _83554) ^ [_95638, _95640] : [350 ^ _83554 : [(351 ^ _83554) ^ [_95711] : [_95640 = vplus(_95638, _95711)]], -(less(_95638, _95640))], (355 ^ _83554) ^ [_95907, _95909] : [greater(_95907, _95909), -(_95907 = vplus(_95909, 358 ^ [_95907, _95909]))], (362 ^ _83554) ^ [_96135, _96137] : [363 ^ _83554 : [(364 ^ _83554) ^ [_96208] : [_96135 = vplus(_96137, _96208)]], -(greater(_96135, _96137))], (368 ^ _83554) ^ [_96375, _96377] : [-(_96377 = _96375), -(_96377 = vplus(_96375, 373 ^ [_96375, _96377])), -(_96375 = vplus(_96377, 376 ^ [_96375, _96377]))], (380 ^ _83554) ^ [_96808, _96810] : [_96810 = _96808, 383 ^ _83554 : [(384 ^ _83554) ^ [_96930] : [_96808 = vplus(_96810, _96930)]]], (386 ^ _83554) ^ [_97049, _97051] : [387 ^ _83554 : [(388 ^ _83554) ^ [_97134] : [_97051 = vplus(_97049, _97134)]], 389 ^ _83554 : [(390 ^ _83554) ^ [_97198] : [_97049 = vplus(_97051, _97198)]]], (392 ^ _83554) ^ [_97318, _97320] : [_97320 = _97318, 395 ^ _83554 : [(396 ^ _83554) ^ [_97440] : [_97320 = vplus(_97318, _97440)]]], (398 ^ _83554) ^ [_97559, _97561] : [-(_97561 = _97559), 401 ^ _83554 : [(402 ^ _83554) ^ [_97685] : [vplus(_97685, _97561) = vplus(_97685, _97559)]]], (404 ^ _83554) ^ [_97791, _97793] : [_97791 = vplus(_97793, _97791)], (406 ^ _83554) ^ [_97888, _97890] : [-(vplus(_97888, _97890) = vplus(_97890, _97888))], (408 ^ _83554) ^ [_97988, _97990] : [-(vplus(vsucc(_97990), _97988) = vsucc(vplus(_97990, _97988)))], (410 ^ _83554) ^ [_98078] : [-(vplus(v1, _98078) = vsucc(_98078))], (412 ^ _83554) ^ [_98189, _98191, _98193] : [-(vplus(vplus(_98193, _98191), _98189) = vplus(_98193, vplus(_98191, _98189)))], (414 ^ _83554) ^ [_98317, _98319] : [-(vplus(_98319, vsucc(_98317)) = vsucc(vplus(_98319, _98317)))], (416 ^ _83554) ^ [_98373, _98375] : [-(vplus(_98375, v1) = vsucc(_98375))], (418 ^ _83554) ^ [_98475] : [-(_98475 = v1), -(_98475 = vsucc(vskolem2(_98475)))], (424 ^ _83554) ^ [_98660] : [vsucc(_98660) = _98660], (426 ^ _83554) ^ [_98769, _98771] : [-(_98771 = _98769), vsucc(_98771) = vsucc(_98769)], (438 ^ _83554) ^ [_99159] : [vsucc(_99159) = v1], (432 ^ _83554) ^ [_98991, _98993] : [vsucc(_98993) = vsucc(_98991), -(_98993 = _98991)]], input).
% 0.31/1.38  ncf('1',plain,[vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)],start(440 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436)), vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439))],extension(204 ^ 1,bind([[_90762, _90764, _90766], [vd436, vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vmul(vd436, vplus(vd437, vd439))]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)))],extension(112 ^ 2)).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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