TSTP Solution File: NUM852+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 2.47s 3.44s
% Output : Proof 2.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.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 18:16:41 EDT 2023
% 0.12/0.33 % CPUTime :
% 2.47/3.44
% 2.47/3.44 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.47/3.44 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.47/3.44 %-----------------------------------------------------
% 2.47/3.44 ncf(matrix, plain, [(476 ^ _93911) ^ [] : [greater(vmul(vd481, vd469), vmul(vd480, vd469))], (76 ^ _93911) ^ [_96475, _96477, _96479, _96481] : [-(vskolem9(_96481, _96477) = vskolem9(_96479, _96475)), _96481 = _96479, _96477 = _96475], (86 ^ _93911) ^ [_96834, _96836, _96838, _96840] : [-(vplus(_96840, _96836) = vplus(_96838, _96834)), _96840 = _96838, _96836 = _96834], (96 ^ _93911) ^ [_97165, _97167] : [_97167 = _97165, -(vskolem2(_97167) = vskolem2(_97165))], (102 ^ _93911) ^ [_97383, _97385] : [_97385 = _97383, -(vsucc(_97385) = vsucc(_97383))], (108 ^ _93911) ^ [_97609, _97611, _97613, _97615] : [-(vmul(_97615, _97611) = vmul(_97613, _97609)), _97615 = _97613, _97611 = _97609], (2 ^ _93911) ^ [_94055] : [-(_94055 = _94055)], (4 ^ _93911) ^ [_94162, _94164] : [_94164 = _94162, -(_94162 = _94164)], (10 ^ _93911) ^ [_94366, _94368, _94370] : [-(_94370 = _94366), _94370 = _94368, _94368 = _94366], (20 ^ _93911) ^ [_94707, _94709, _94711, _94713] : [-(leq(_94711, _94707)), leq(_94713, _94709), _94713 = _94711, _94709 = _94707], (34 ^ _93911) ^ [_95151, _95153, _95155, _95157] : [-(geq(_95155, _95151)), geq(_95157, _95153), _95157 = _95155, _95153 = _95151], (48 ^ _93911) ^ [_95595, _95597, _95599, _95601] : [-(less(_95599, _95595)), less(_95601, _95597), _95601 = _95599, _95597 = _95595], (62 ^ _93911) ^ [_96019, _96021, _96023, _96025] : [-(greater(_96023, _96019)), greater(_96025, _96021), _96025 = _96023, _96021 = _96019], (118 ^ _93911) ^ [] : [-(greater(vd481, vd480))], (120 ^ _93911) ^ [] : [-(less(vd480, vd481))], (122 ^ _93911) ^ [_98064, _98066] : [_98066 = _98064, -(vmul(_98066, vd469) = vmul(_98064, vd469))], (128 ^ _93911) ^ [_98286, _98288] : [greater(_98288, _98286), -(greater(vplus(vmul(_98286, vd469), vmul(vskolem9(_98288, _98286), vd469)), vmul(_98286, vd469)))], (134 ^ _93911) ^ [_98526, _98528] : [greater(_98528, _98526), -(vmul(vplus(_98526, vskolem9(_98528, _98526)), vd469) = vplus(vmul(_98526, vd469), vmul(vskolem9(_98528, _98526), vd469)))], (140 ^ _93911) ^ [_98778, _98780] : [greater(_98780, _98778), -(vmul(_98780, vd469) = vmul(vplus(_98778, vskolem9(_98780, _98778)), vd469))], (146 ^ _93911) ^ [_99012, _99014] : [greater(_99014, _99012), -(_99014 = vplus(_99012, vskolem9(_99014, _99012)))], (152 ^ _93911) ^ [_99233, _99235, _99237] : [-(vmul(vmul(_99237, _99235), _99233) = vmul(_99237, vmul(_99235, _99233)))], (154 ^ _93911) ^ [_99355, _99357, _99359] : [-(vmul(_99359, vplus(_99357, _99355)) = vplus(vmul(_99359, _99357), vmul(_99359, _99355)))], (156 ^ _93911) ^ [_99466, _99468] : [-(vmul(_99468, _99466) = vmul(_99466, _99468))], (158 ^ _93911) ^ [_99566, _99568] : [-(vmul(vsucc(_99568), _99566) = vplus(vmul(_99568, _99566), _99566))], (160 ^ _93911) ^ [_99657] : [-(vmul(v1, _99657) = _99657)], (162 ^ _93911) ^ [_99772, _99774] : [-(vmul(_99774, vsucc(_99772)) = vplus(vmul(_99774, _99772), _99774))], (164 ^ _93911) ^ [_99829, _99831] : [-(vmul(_99831, v1) = _99831)], (166 ^ _93911) ^ [_99943, _99945] : [less(_99945, vplus(_99943, v1)), -(leq(_99945, _99943))], (172 ^ _93911) ^ [_100159, _100161] : [greater(_100161, _100159), -(geq(_100161, vplus(_100159, v1)))], (178 ^ _93911) ^ [_100346] : [-(geq(_100346, v1))], (180 ^ _93911) ^ [_100481, _100483, _100485, _100487] : [-(geq(vplus(_100487, _100483), vplus(_100485, _100481))), geq(_100483, _100481), geq(_100487, _100485)], (190 ^ _93911) ^ [_100840, _100842, _100844, _100846] : [-(greater(vplus(_100846, _100842), vplus(_100844, _100840))), 191 ^ _93911 : [(192 ^ _93911) ^ [] : [greater(_100842, _100840), geq(_100846, _100844)], (198 ^ _93911) ^ [] : [geq(_100842, _100840), greater(_100846, _100844)]]], (206 ^ _93911) ^ [_101374, _101376, _101378, _101380] : [-(greater(vplus(_101380, _101376), vplus(_101378, _101374))), greater(_101376, _101374), greater(_101380, _101378)], (216 ^ _93911) ^ [_101719, _101721, _101723] : [less(vplus(_101723, _101719), vplus(_101721, _101719)), -(less(_101723, _101721))], (222 ^ _93911) ^ [_101961, _101963, _101965] : [vplus(_101965, _101961) = vplus(_101963, _101961), -(_101965 = _101963)], (228 ^ _93911) ^ [_102203, _102205, _102207] : [greater(vplus(_102207, _102203), vplus(_102205, _102203)), -(greater(_102207, _102205))], (234 ^ _93911) ^ [_102445, _102447, _102449] : [less(_102449, _102447), -(less(vplus(_102449, _102445), vplus(_102447, _102445)))], (240 ^ _93911) ^ [_102687, _102689, _102691] : [_102691 = _102689, -(vplus(_102691, _102687) = vplus(_102689, _102687))], (246 ^ _93911) ^ [_102929, _102931, _102933] : [greater(_102933, _102931), -(greater(vplus(_102933, _102929), vplus(_102931, _102929)))], (252 ^ _93911) ^ [_103142, _103144] : [-(greater(vplus(_103144, _103142), _103144))], (254 ^ _93911) ^ [_103268, _103270, _103272] : [-(leq(_103272, _103268)), leq(_103270, _103268), leq(_103272, _103270)], (264 ^ _93911) ^ [_103591, _103593, _103595] : [-(less(_103595, _103591)), 265 ^ _93911 : [(266 ^ _93911) ^ [] : [less(_103593, _103591), leq(_103595, _103593)], (272 ^ _93911) ^ [] : [leq(_103593, _103591), less(_103595, _103593)]]], (280 ^ _93911) ^ [_104083, _104085, _104087] : [-(less(_104087, _104083)), less(_104085, _104083), less(_104087, _104085)], (290 ^ _93911) ^ [_104392, _104394] : [leq(_104394, _104392), -(geq(_104392, _104394))], (296 ^ _93911) ^ [_104602, _104604] : [geq(_104604, _104602), -(leq(_104602, _104604))], (312 ^ _93911) ^ [_105093, _105095] : [313 ^ _93911 : [(314 ^ _93911) ^ [] : [less(_105093, _105095)], (316 ^ _93911) ^ [] : [_105093 = _105095]], -(leq(_105093, _105095))], (302 ^ _93911) ^ [_104841, _104843] : [leq(_104841, _104843), -(less(_104841, _104843)), -(_104841 = _104843)], (330 ^ _93911) ^ [_105660, _105662] : [331 ^ _93911 : [(332 ^ _93911) ^ [] : [greater(_105660, _105662)], (334 ^ _93911) ^ [] : [_105660 = _105662]], -(geq(_105660, _105662))], (320 ^ _93911) ^ [_105408, _105410] : [geq(_105408, _105410), -(greater(_105408, _105410)), -(_105408 = _105410)], (338 ^ _93911) ^ [_105946, _105948] : [less(_105948, _105946), -(greater(_105946, _105948))], (344 ^ _93911) ^ [_106156, _106158] : [greater(_106158, _106156), -(less(_106156, _106158))], (350 ^ _93911) ^ [_106366, _106368] : [-(_106368 = _106366), -(greater(_106368, _106366)), -(less(_106368, _106366))], (360 ^ _93911) ^ [_106667, _106669] : [_106669 = _106667, less(_106669, _106667)], (366 ^ _93911) ^ [_106880, _106882] : [greater(_106882, _106880), less(_106882, _106880)], (372 ^ _93911) ^ [_107093, _107095] : [_107095 = _107093, greater(_107095, _107093)], (378 ^ _93911) ^ [_107335, _107337] : [less(_107335, _107337), -(_107337 = vplus(_107335, 381 ^ [_107335, _107337]))], (385 ^ _93911) ^ [_107563, _107565] : [386 ^ _93911 : [(387 ^ _93911) ^ [_107636] : [_107565 = vplus(_107563, _107636)]], -(less(_107563, _107565))], (391 ^ _93911) ^ [_107832, _107834] : [greater(_107832, _107834), -(_107832 = vplus(_107834, 394 ^ [_107832, _107834]))], (398 ^ _93911) ^ [_108060, _108062] : [399 ^ _93911 : [(400 ^ _93911) ^ [_108133] : [_108060 = vplus(_108062, _108133)]], -(greater(_108060, _108062))], (404 ^ _93911) ^ [_108300, _108302] : [-(_108302 = _108300), -(_108302 = vplus(_108300, 409 ^ [_108300, _108302])), -(_108300 = vplus(_108302, 412 ^ [_108300, _108302]))], (416 ^ _93911) ^ [_108733, _108735] : [_108735 = _108733, 419 ^ _93911 : [(420 ^ _93911) ^ [_108855] : [_108733 = vplus(_108735, _108855)]]], (422 ^ _93911) ^ [_108974, _108976] : [423 ^ _93911 : [(424 ^ _93911) ^ [_109059] : [_108976 = vplus(_108974, _109059)]], 425 ^ _93911 : [(426 ^ _93911) ^ [_109123] : [_108974 = vplus(_108976, _109123)]]], (428 ^ _93911) ^ [_109243, _109245] : [_109245 = _109243, 431 ^ _93911 : [(432 ^ _93911) ^ [_109365] : [_109245 = vplus(_109243, _109365)]]], (434 ^ _93911) ^ [_109484, _109486] : [-(_109486 = _109484), 437 ^ _93911 : [(438 ^ _93911) ^ [_109610] : [vplus(_109610, _109486) = vplus(_109610, _109484)]]], (440 ^ _93911) ^ [_109716, _109718] : [_109716 = vplus(_109718, _109716)], (442 ^ _93911) ^ [_109813, _109815] : [-(vplus(_109813, _109815) = vplus(_109815, _109813))], (444 ^ _93911) ^ [_109913, _109915] : [-(vplus(vsucc(_109915), _109913) = vsucc(vplus(_109915, _109913)))], (446 ^ _93911) ^ [_110003] : [-(vplus(v1, _110003) = vsucc(_110003))], (448 ^ _93911) ^ [_110114, _110116, _110118] : [-(vplus(vplus(_110118, _110116), _110114) = vplus(_110118, vplus(_110116, _110114)))], (450 ^ _93911) ^ [_110242, _110244] : [-(vplus(_110244, vsucc(_110242)) = vsucc(vplus(_110244, _110242)))], (452 ^ _93911) ^ [_110298, _110300] : [-(vplus(_110300, v1) = vsucc(_110300))], (454 ^ _93911) ^ [_110400] : [-(_110400 = v1), -(_110400 = vsucc(vskolem2(_110400)))], (460 ^ _93911) ^ [_110585] : [vsucc(_110585) = _110585], (462 ^ _93911) ^ [_110694, _110696] : [-(_110696 = _110694), vsucc(_110696) = vsucc(_110694)], (474 ^ _93911) ^ [_111084] : [vsucc(_111084) = v1], (468 ^ _93911) ^ [_110916, _110918] : [vsucc(_110918) = vsucc(_110916), -(_110918 = _110916)]], input).
% 2.47/3.44 ncf('1',plain,[greater(vd481, vd480), less(vd481, vd480)],start(366 ^ 0,bind([[_106880, _106882], [vd480, vd481]]))).
% 2.47/3.44 ncf('1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(62 ^ 1,bind([[_96019, _96021, _96023, _96025], [vd480, vd480, vd481, vd481]]))).
% 2.47/3.44 ncf('1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(62 ^ 2,bind([[_96019, _96021, _96023, _96025], [vd480, vd480, vd481, vd481]]))).
% 2.47/3.44 ncf('1.1.1.1',plain,[-(greater(vd481, vd480)), greater(vd481, vd480), vd481 = vd481, vd480 = vd480],extension(62 ^ 3,bind([[_96019, _96021, _96023, _96025], [vd480, vd480, vd481, vd481]]))).
% 2.47/3.44 ncf('1.1.1.1.1',plain,[-(greater(vd481, vd480))],extension(118 ^ 4)).
% 2.47/3.44 ncf('1.1.1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 4,bind([[_94055], [vd481]]))).
% 2.47/3.44 ncf('1.1.1.1.3',plain,[-(vd480 = vd480)],extension(2 ^ 4,bind([[_94055], [vd480]]))).
% 2.47/3.44 ncf('1.1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 3,bind([[_94055], [vd481]]))).
% 2.47/3.44 ncf('1.1.1.3',plain,[-(vd480 = vd480)],extension(2 ^ 3,bind([[_94055], [vd480]]))).
% 2.47/3.44 ncf('1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 2,bind([[_94055], [vd481]]))).
% 2.47/3.44 ncf('1.1.3',plain,[-(vd480 = vd480)],extension(2 ^ 2,bind([[_94055], [vd480]]))).
% 2.47/3.44 ncf('1.2',plain,[-(less(vd481, vd480)), -(vd481 = vd480), -(greater(vd481, vd480))],extension(350 ^ 1,bind([[_106366, _106368], [vd480, vd481]]))).
% 2.47/3.44 ncf('1.2.1',plain,[vd481 = vd480, -(vd480 = vd481)],extension(4 ^ 2,bind([[_94162, _94164], [vd480, vd481]]))).
% 2.47/3.44 ncf('1.2.1.1',plain,[vd480 = vd481, -(vd480 = vd481), vd481 = vd481],extension(10 ^ 3,bind([[_94366, _94368, _94370], [vd481, vd481, vd480]]))).
% 2.47/3.44 ncf('1.2.1.1.1',plain,[vd480 = vd481, -(less(vd481, vd480)), less(vd480, vd481), vd481 = vd480],extension(48 ^ 4,bind([[_95595, _95597, _95599, _95601], [vd480, vd481, vd481, vd480]]))).
% 2.47/3.44 ncf('1.2.1.1.1.1',plain,[less(vd481, vd480)],reduction('1')).
% 2.47/3.44 ncf('1.2.1.1.1.2',plain,[-(less(vd480, vd481))],extension(120 ^ 5)).
% 2.47/3.44 ncf('1.2.1.1.1.3',plain,[-(vd481 = vd480)],reduction('1.2')).
% 2.47/3.44 ncf('1.2.1.1.2',plain,[-(vd481 = vd481)],extension(2 ^ 4,bind([[_94055], [vd481]]))).
% 2.47/3.44 ncf('1.2.2',plain,[greater(vd481, vd480), -(vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)))],extension(134 ^ 2,bind([[_98526, _98528], [vd480, vd481]]))).
% 2.47/3.44 ncf('1.2.2.1',plain,[vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), -(vmul(vd481, vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469))), vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)],extension(10 ^ 3,bind([[_94366, _94368, _94370], [vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469), vmul(vd481, vd469)]]))).
% 2.47/3.44 ncf('1.2.2.1.1',plain,[vmul(vd481, vd469) = vplus(vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)), -(greater(vmul(vd481, vd469), vmul(vd480, vd469)))],extension(398 ^ 4,bind([[_108060, _108062, _108133], [vmul(vd481, vd469), vmul(vd480, vd469), vmul(vskolem9(vd481, vd480), vd469)]]))).
% 2.47/3.44 ncf('1.2.2.1.1.1',plain,[greater(vmul(vd481, vd469), vmul(vd480, vd469))],extension(476 ^ 5)).
% 2.47/3.44 ncf('1.2.2.1.2',plain,[-(vmul(vd481, vd469) = vmul(vplus(vd480, vskolem9(vd481, vd480)), vd469)), greater(vd481, vd480)],extension(140 ^ 4,bind([[_98778, _98780], [vd480, vd481]]))).
% 2.47/3.44 ncf('1.2.2.1.2.1',plain,[-(greater(vd481, vd480))],lemmata('x')).
% 2.47/3.44 %-----------------------------------------------------
% 2.47/3.44 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------