%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM847+1 : 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 11:45:46 EDT 2023
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM847+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : nanocop.sh %s %d
% 0.13/0.36 % Computer : n021.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu May 18 16:36:42 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.35/1.41
% 0.35/1.41 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.35/1.41 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 ncf(matrix, plain, [(442 ^ _84592) ^ [] : [vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))], (76 ^ _84592) ^ [_87128, _87130] : [_87130 = _87128, -(vskolem2(_87130) = vskolem2(_87128))], (82 ^ _84592) ^ [_87346, _87348] : [_87348 = _87346, -(vsucc(_87348) = vsucc(_87346))], (88 ^ _84592) ^ [_87592, _87594, _87596, _87598] : [-(vplus(_87598, _87594) = vplus(_87596, _87592)), _87598 = _87596, _87594 = _87592], (98 ^ _84592) ^ [_87931, _87933, _87935, _87937] : [-(vmul(_87937, _87933) = vmul(_87935, _87931)), _87937 = _87935, _87933 = _87931], (2 ^ _84592) ^ [_84736] : [-(_84736 = _84736)], (4 ^ _84592) ^ [_84843, _84845] : [_84845 = _84843, -(_84843 = _84845)], (10 ^ _84592) ^ [_85047, _85049, _85051] : [-(_85051 = _85047), _85051 = _85049, _85049 = _85047], (20 ^ _84592) ^ [_85388, _85390, _85392, _85394] : [-(leq(_85392, _85388)), leq(_85394, _85390), _85394 = _85392, _85390 = _85388], (34 ^ _84592) ^ [_85832, _85834, _85836, _85838] : [-(geq(_85836, _85832)), geq(_85838, _85834), _85838 = _85836, _85834 = _85832], (48 ^ _84592) ^ [_86276, _86278, _86280, _86282] : [-(less(_86280, _86276)), less(_86282, _86278), _86282 = _86280, _86278 = _86276], (62 ^ _84592) ^ [_86700, _86702, _86704, _86706] : [-(greater(_86704, _86700)), greater(_86706, _86702), _86706 = _86704, _86702 = _86700], (108 ^ _84592) ^ [] : [-(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))], (110 ^ _84592) ^ [] : [-(vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436))], (112 ^ _84592) ^ [] : [-(vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439))))], (114 ^ _84592) ^ [] : [-(vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)))], (116 ^ _84592) ^ [] : [-(vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1)))], (118 ^ _84592) ^ [] : [-(vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436))], (120 ^ _84592) ^ [] : [-(vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437)))], (122 ^ _84592) ^ [_88632, _88634] : [-(vmul(_88634, _88632) = vmul(_88632, _88634))], (124 ^ _84592) ^ [_88732, _88734] : [-(vmul(vsucc(_88734), _88732) = vplus(vmul(_88734, _88732), _88732))], (126 ^ _84592) ^ [_88823] : [-(vmul(v1, _88823) = _88823)], (128 ^ _84592) ^ [_88938, _88940] : [-(vmul(_88940, vsucc(_88938)) = vplus(vmul(_88940, _88938), _88940))], (130 ^ _84592) ^ [_88995, _88997] : [-(vmul(_88997, v1) = _88997)], (132 ^ _84592) ^ [_89109, _89111] : [less(_89111, vplus(_89109, v1)), -(leq(_89111, _89109))], (138 ^ _84592) ^ [_89325, _89327] : [greater(_89327, _89325), -(geq(_89327, vplus(_89325, v1)))], (144 ^ _84592) ^ [_89512] : [-(geq(_89512, v1))], (146 ^ _84592) ^ [_89647, _89649, _89651, _89653] : [-(geq(vplus(_89653, _89649), vplus(_89651, _89647))), geq(_89649, _89647), geq(_89653, _89651)], (156 ^ _84592) ^ [_90006, _90008, _90010, _90012] : [-(greater(vplus(_90012, _90008), vplus(_90010, _90006))), 157 ^ _84592 : [(158 ^ _84592) ^ [] : [greater(_90008, _90006), geq(_90012, _90010)], (164 ^ _84592) ^ [] : [geq(_90008, _90006), greater(_90012, _90010)]]], (172 ^ _84592) ^ [_90540, _90542, _90544, _90546] : [-(greater(vplus(_90546, _90542), vplus(_90544, _90540))), greater(_90542, _90540), greater(_90546, _90544)], (182 ^ _84592) ^ [_90885, _90887, _90889] : [less(vplus(_90889, _90885), vplus(_90887, _90885)), -(less(_90889, _90887))], (188 ^ _84592) ^ [_91127, _91129, _91131] : [vplus(_91131, _91127) = vplus(_91129, _91127), -(_91131 = _91129)], (194 ^ _84592) ^ [_91369, _91371, _91373] : [greater(vplus(_91373, _91369), vplus(_91371, _91369)), -(greater(_91373, _91371))], (200 ^ _84592) ^ [_91611, _91613, _91615] : [less(_91615, _91613), -(less(vplus(_91615, _91611), vplus(_91613, _91611)))], (206 ^ _84592) ^ [_91853, _91855, _91857] : [_91857 = _91855, -(vplus(_91857, _91853) = vplus(_91855, _91853))], (212 ^ _84592) ^ [_92095, _92097, _92099] : [greater(_92099, _92097), -(greater(vplus(_92099, _92095), vplus(_92097, _92095)))], (218 ^ _84592) ^ [_92308, _92310] : [-(greater(vplus(_92310, _92308), _92310))], (220 ^ _84592) ^ [_92434, _92436, _92438] : [-(leq(_92438, _92434)), leq(_92436, _92434), leq(_92438, _92436)], (230 ^ _84592) ^ [_92757, _92759, _92761] : [-(less(_92761, _92757)), 231 ^ _84592 : [(232 ^ _84592) ^ [] : [less(_92759, _92757), leq(_92761, _92759)], (238 ^ _84592) ^ [] : [leq(_92759, _92757), less(_92761, _92759)]]], (246 ^ _84592) ^ [_93249, _93251, _93253] : [-(less(_93253, _93249)), less(_93251, _93249), less(_93253, _93251)], (256 ^ _84592) ^ [_93558, _93560] : [leq(_93560, _93558), -(geq(_93558, _93560))], (262 ^ _84592) ^ [_93768, _93770] : [geq(_93770, _93768), -(leq(_93768, _93770))], (278 ^ _84592) ^ [_94259, _94261] : [279 ^ _84592 : [(280 ^ _84592) ^ [] : [less(_94259, _94261)], (282 ^ _84592) ^ [] : [_94259 = _94261]], -(leq(_94259, _94261))], (268 ^ _84592) ^ [_94007, _94009] : [leq(_94007, _94009), -(less(_94007, _94009)), -(_94007 = _94009)], (296 ^ _84592) ^ [_94826, _94828] : [297 ^ _84592 : [(298 ^ _84592) ^ [] : [greater(_94826, _94828)], (300 ^ _84592) ^ [] : [_94826 = _94828]], -(geq(_94826, _94828))], (286 ^ _84592) ^ [_94574, _94576] : [geq(_94574, _94576), -(greater(_94574, _94576)), -(_94574 = _94576)], (304 ^ _84592) ^ [_95112, _95114] : [less(_95114, _95112), -(greater(_95112, _95114))], (310 ^ _84592) ^ [_95322, _95324] : [greater(_95324, _95322), -(less(_95322, _95324))], (316 ^ _84592) ^ [_95532, _95534] : [-(_95534 = _95532), -(greater(_95534, _95532)), -(less(_95534, _95532))], (326 ^ _84592) ^ [_95833, _95835] : [_95835 = _95833, less(_95835, _95833)], (332 ^ _84592) ^ [_96046, _96048] : [greater(_96048, _96046), less(_96048, _96046)], (338 ^ _84592) ^ [_96259, _96261] : [_96261 = _96259, greater(_96261, _96259)], (344 ^ _84592) ^ [_96501, _96503] : [less(_96501, _96503), -(_96503 = vplus(_96501, 347 ^ [_96501, _96503]))], (351 ^ _84592) ^ [_96729, _96731] : [352 ^ _84592 : [(353 ^ _84592) ^ [_96802] : [_96731 = vplus(_96729, _96802)]], -(less(_96729, _96731))], (357 ^ _84592) ^ [_96998, _97000] : [greater(_96998, _97000), -(_96998 = vplus(_97000, 360 ^ [_96998, _97000]))], (364 ^ _84592) ^ [_97226, _97228] : [365 ^ _84592 : [(366 ^ _84592) ^ [_97299] : [_97226 = vplus(_97228, _97299)]], -(greater(_97226, _97228))], (370 ^ _84592) ^ [_97466, _97468] : [-(_97468 = _97466), -(_97468 = vplus(_97466, 375 ^ [_97466, _97468])), -(_97466 = vplus(_97468, 378 ^ [_97466, _97468]))], (382 ^ _84592) ^ [_97899, _97901] : [_97901 = _97899, 385 ^ _84592 : [(386 ^ _84592) ^ [_98021] : [_97899 = vplus(_97901, _98021)]]], (388 ^ _84592) ^ [_98140, _98142] : [389 ^ _84592 : [(390 ^ _84592) ^ [_98225] : [_98142 = vplus(_98140, _98225)]], 391 ^ _84592 : [(392 ^ _84592) ^ [_98289] : [_98140 = vplus(_98142, _98289)]]], (394 ^ _84592) ^ [_98409, _98411] : [_98411 = _98409, 397 ^ _84592 : [(398 ^ _84592) ^ [_98531] : [_98411 = vplus(_98409, _98531)]]], (400 ^ _84592) ^ [_98650, _98652] : [-(_98652 = _98650), 403 ^ _84592 : [(404 ^ _84592) ^ [_98776] : [vplus(_98776, _98652) = vplus(_98776, _98650)]]], (406 ^ _84592) ^ [_98882, _98884] : [_98882 = vplus(_98884, _98882)], (408 ^ _84592) ^ [_98979, _98981] : [-(vplus(_98979, _98981) = vplus(_98981, _98979))], (410 ^ _84592) ^ [_99079, _99081] : [-(vplus(vsucc(_99081), _99079) = vsucc(vplus(_99081, _99079)))], (412 ^ _84592) ^ [_99169] : [-(vplus(v1, _99169) = vsucc(_99169))], (414 ^ _84592) ^ [_99280, _99282, _99284] : [-(vplus(vplus(_99284, _99282), _99280) = vplus(_99284, vplus(_99282, _99280)))], (416 ^ _84592) ^ [_99408, _99410] : [-(vplus(_99410, vsucc(_99408)) = vsucc(vplus(_99410, _99408)))], (418 ^ _84592) ^ [_99464, _99466] : [-(vplus(_99466, v1) = vsucc(_99466))], (420 ^ _84592) ^ [_99566] : [-(_99566 = v1), -(_99566 = vsucc(vskolem2(_99566)))], (426 ^ _84592) ^ [_99751] : [vsucc(_99751) = _99751], (428 ^ _84592) ^ [_99860, _99862] : [-(_99862 = _99860), vsucc(_99862) = vsucc(_99860)], (440 ^ _84592) ^ [_100250] : [vsucc(_100250) = v1], (434 ^ _84592) ^ [_100082, _100084] : [vsucc(_100084) = vsucc(_100082), -(_100084 = _100082)]], input).
% 0.35/1.41 ncf('1',plain,[vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436))],start(442 ^ 0)).
% 0.35/1.41 ncf('1.1',plain,[-(vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)))],extension(414 ^ 1,bind([[_99280, _99282, _99284], [vd436, vmul(vd436, vd439), vmul(vd436, vd437)]]))).
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------