TSTP Solution File: NUM848+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM848+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n010.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 0.39s 1.37s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM848+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 17:25:27 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.39/1.37
% 0.39/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.39/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.37 %-----------------------------------------------------
% 0.39/1.37 ncf(matrix, plain, [(444 ^ _86046) ^ [] : [vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))], (76 ^ _86046) ^ [_88582, _88584] : [_88584 = _88582, -(vskolem2(_88584) = vskolem2(_88582))], (82 ^ _86046) ^ [_88828, _88830, _88832, _88834] : [-(vplus(_88834, _88830) = vplus(_88832, _88828)), _88834 = _88832, _88830 = _88828], (102 ^ _86046) ^ [_89498, _89500] : [_89500 = _89498, -(vsucc(_89500) = vsucc(_89498))], (92 ^ _86046) ^ [_89187, _89189, _89191, _89193] : [-(vmul(_89193, _89189) = vmul(_89191, _89187)), _89193 = _89191, _89189 = _89187], (2 ^ _86046) ^ [_86190] : [-(_86190 = _86190)], (4 ^ _86046) ^ [_86297, _86299] : [_86299 = _86297, -(_86297 = _86299)], (10 ^ _86046) ^ [_86501, _86503, _86505] : [-(_86505 = _86501), _86505 = _86503, _86503 = _86501], (20 ^ _86046) ^ [_86842, _86844, _86846, _86848] : [-(leq(_86846, _86842)), leq(_86848, _86844), _86848 = _86846, _86844 = _86842], (34 ^ _86046) ^ [_87286, _87288, _87290, _87292] : [-(geq(_87290, _87286)), geq(_87292, _87288), _87292 = _87290, _87288 = _87286], (48 ^ _86046) ^ [_87730, _87732, _87734, _87736] : [-(less(_87734, _87730)), less(_87736, _87732), _87736 = _87734, _87732 = _87730], (62 ^ _86046) ^ [_88154, _88156, _88158, _88160] : [-(greater(_88158, _88154)), greater(_88160, _88156), _88160 = _88158, _88156 = _88154], (108 ^ _86046) ^ [] : [-(vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436) = vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)))], (110 ^ _86046) ^ [] : [-(vplus(vmul(vd436, vplus(vd437, vd439)), vd436) = vplus(vplus(vmul(vd436, vd437), vmul(vd436, vd439)), vd436))], (112 ^ _86046) ^ [] : [-(vmul(vd436, vsucc(vplus(vd437, vd439))) = vplus(vmul(vd436, vplus(vd437, vd439)), vd436))], (114 ^ _86046) ^ [] : [-(vmul(vd436, vplus(vd437, vsucc(vd439))) = vmul(vd436, vsucc(vplus(vd437, vd439))))], (116 ^ _86046) ^ [] : [-(vmul(vd436, vplus(vd437, vd439)) = vplus(vmul(vd436, vd437), vmul(vd436, vd439)))], (118 ^ _86046) ^ [] : [-(vplus(vmul(vd436, vd437), vd436) = vplus(vmul(vd436, vd437), vmul(vd436, v1)))], (120 ^ _86046) ^ [] : [-(vmul(vd436, vsucc(vd437)) = vplus(vmul(vd436, vd437), vd436))], (122 ^ _86046) ^ [] : [-(vmul(vd436, vplus(vd437, v1)) = vmul(vd436, vsucc(vd437)))], (124 ^ _86046) ^ [_90139, _90141] : [-(vmul(_90141, _90139) = vmul(_90139, _90141))], (126 ^ _86046) ^ [_90239, _90241] : [-(vmul(vsucc(_90241), _90239) = vplus(vmul(_90241, _90239), _90239))], (128 ^ _86046) ^ [_90330] : [-(vmul(v1, _90330) = _90330)], (130 ^ _86046) ^ [_90445, _90447] : [-(vmul(_90447, vsucc(_90445)) = vplus(vmul(_90447, _90445), _90447))], (132 ^ _86046) ^ [_90502, _90504] : [-(vmul(_90504, v1) = _90504)], (134 ^ _86046) ^ [_90616, _90618] : [less(_90618, vplus(_90616, v1)), -(leq(_90618, _90616))], (140 ^ _86046) ^ [_90832, _90834] : [greater(_90834, _90832), -(geq(_90834, vplus(_90832, v1)))], (146 ^ _86046) ^ [_91019] : [-(geq(_91019, v1))], (148 ^ _86046) ^ [_91154, _91156, _91158, _91160] : [-(geq(vplus(_91160, _91156), vplus(_91158, _91154))), geq(_91156, _91154), geq(_91160, _91158)], (158 ^ _86046) ^ [_91513, _91515, _91517, _91519] : [-(greater(vplus(_91519, _91515), vplus(_91517, _91513))), 159 ^ _86046 : [(160 ^ _86046) ^ [] : [greater(_91515, _91513), geq(_91519, _91517)], (166 ^ _86046) ^ [] : [geq(_91515, _91513), greater(_91519, _91517)]]], (174 ^ _86046) ^ [_92047, _92049, _92051, _92053] : [-(greater(vplus(_92053, _92049), vplus(_92051, _92047))), greater(_92049, _92047), greater(_92053, _92051)], (184 ^ _86046) ^ [_92392, _92394, _92396] : [less(vplus(_92396, _92392), vplus(_92394, _92392)), -(less(_92396, _92394))], (190 ^ _86046) ^ [_92634, _92636, _92638] : [vplus(_92638, _92634) = vplus(_92636, _92634), -(_92638 = _92636)], (196 ^ _86046) ^ [_92876, _92878, _92880] : [greater(vplus(_92880, _92876), vplus(_92878, _92876)), -(greater(_92880, _92878))], (202 ^ _86046) ^ [_93118, _93120, _93122] : [less(_93122, _93120), -(less(vplus(_93122, _93118), vplus(_93120, _93118)))], (208 ^ _86046) ^ [_93360, _93362, _93364] : [_93364 = _93362, -(vplus(_93364, _93360) = vplus(_93362, _93360))], (214 ^ _86046) ^ [_93602, _93604, _93606] : [greater(_93606, _93604), -(greater(vplus(_93606, _93602), vplus(_93604, _93602)))], (220 ^ _86046) ^ [_93815, _93817] : [-(greater(vplus(_93817, _93815), _93817))], (222 ^ _86046) ^ [_93941, _93943, _93945] : [-(leq(_93945, _93941)), leq(_93943, _93941), leq(_93945, _93943)], (232 ^ _86046) ^ [_94264, _94266, _94268] : [-(less(_94268, _94264)), 233 ^ _86046 : [(234 ^ _86046) ^ [] : [less(_94266, _94264), leq(_94268, _94266)], (240 ^ _86046) ^ [] : [leq(_94266, _94264), less(_94268, _94266)]]], (248 ^ _86046) ^ [_94756, _94758, _94760] : [-(less(_94760, _94756)), less(_94758, _94756), less(_94760, _94758)], (258 ^ _86046) ^ [_95065, _95067] : [leq(_95067, _95065), -(geq(_95065, _95067))], (264 ^ _86046) ^ [_95275, _95277] : [geq(_95277, _95275), -(leq(_95275, _95277))], (280 ^ _86046) ^ [_95766, _95768] : [281 ^ _86046 : [(282 ^ _86046) ^ [] : [less(_95766, _95768)], (284 ^ _86046) ^ [] : [_95766 = _95768]], -(leq(_95766, _95768))], (270 ^ _86046) ^ [_95514, _95516] : [leq(_95514, _95516), -(less(_95514, _95516)), -(_95514 = _95516)], (298 ^ _86046) ^ [_96333, _96335] : [299 ^ _86046 : [(300 ^ _86046) ^ [] : [greater(_96333, _96335)], (302 ^ _86046) ^ [] : [_96333 = _96335]], -(geq(_96333, _96335))], (288 ^ _86046) ^ [_96081, _96083] : [geq(_96081, _96083), -(greater(_96081, _96083)), -(_96081 = _96083)], (306 ^ _86046) ^ [_96619, _96621] : [less(_96621, _96619), -(greater(_96619, _96621))], (312 ^ _86046) ^ [_96829, _96831] : [greater(_96831, _96829), -(less(_96829, _96831))], (318 ^ _86046) ^ [_97039, _97041] : [-(_97041 = _97039), -(greater(_97041, _97039)), -(less(_97041, _97039))], (328 ^ _86046) ^ [_97340, _97342] : [_97342 = _97340, less(_97342, _97340)], (334 ^ _86046) ^ [_97553, _97555] : [greater(_97555, _97553), less(_97555, _97553)], (340 ^ _86046) ^ [_97766, _97768] : [_97768 = _97766, greater(_97768, _97766)], (346 ^ _86046) ^ [_98008, _98010] : [less(_98008, _98010), -(_98010 = vplus(_98008, 349 ^ [_98008, _98010]))], (353 ^ _86046) ^ [_98236, _98238] : [354 ^ _86046 : [(355 ^ _86046) ^ [_98309] : [_98238 = vplus(_98236, _98309)]], -(less(_98236, _98238))], (359 ^ _86046) ^ [_98505, _98507] : [greater(_98505, _98507), -(_98505 = vplus(_98507, 362 ^ [_98505, _98507]))], (366 ^ _86046) ^ [_98733, _98735] : [367 ^ _86046 : [(368 ^ _86046) ^ [_98806] : [_98733 = vplus(_98735, _98806)]], -(greater(_98733, _98735))], (372 ^ _86046) ^ [_98973, _98975] : [-(_98975 = _98973), -(_98975 = vplus(_98973, 377 ^ [_98973, _98975])), -(_98973 = vplus(_98975, 380 ^ [_98973, _98975]))], (384 ^ _86046) ^ [_99406, _99408] : [_99408 = _99406, 387 ^ _86046 : [(388 ^ _86046) ^ [_99528] : [_99406 = vplus(_99408, _99528)]]], (390 ^ _86046) ^ [_99647, _99649] : [391 ^ _86046 : [(392 ^ _86046) ^ [_99732] : [_99649 = vplus(_99647, _99732)]], 393 ^ _86046 : [(394 ^ _86046) ^ [_99796] : [_99647 = vplus(_99649, _99796)]]], (396 ^ _86046) ^ [_99916, _99918] : [_99918 = _99916, 399 ^ _86046 : [(400 ^ _86046) ^ [_100038] : [_99918 = vplus(_99916, _100038)]]], (402 ^ _86046) ^ [_100157, _100159] : [-(_100159 = _100157), 405 ^ _86046 : [(406 ^ _86046) ^ [_100283] : [vplus(_100283, _100159) = vplus(_100283, _100157)]]], (408 ^ _86046) ^ [_100389, _100391] : [_100389 = vplus(_100391, _100389)], (410 ^ _86046) ^ [_100486, _100488] : [-(vplus(_100486, _100488) = vplus(_100488, _100486))], (412 ^ _86046) ^ [_100586, _100588] : [-(vplus(vsucc(_100588), _100586) = vsucc(vplus(_100588, _100586)))], (414 ^ _86046) ^ [_100676] : [-(vplus(v1, _100676) = vsucc(_100676))], (416 ^ _86046) ^ [_100787, _100789, _100791] : [-(vplus(vplus(_100791, _100789), _100787) = vplus(_100791, vplus(_100789, _100787)))], (418 ^ _86046) ^ [_100915, _100917] : [-(vplus(_100917, vsucc(_100915)) = vsucc(vplus(_100917, _100915)))], (420 ^ _86046) ^ [_100971, _100973] : [-(vplus(_100973, v1) = vsucc(_100973))], (422 ^ _86046) ^ [_101073] : [-(_101073 = v1), -(_101073 = vsucc(vskolem2(_101073)))], (428 ^ _86046) ^ [_101258] : [vsucc(_101258) = _101258], (430 ^ _86046) ^ [_101367, _101369] : [-(_101369 = _101367), vsucc(_101369) = vsucc(_101367)], (442 ^ _86046) ^ [_101757] : [vsucc(_101757) = v1], (436 ^ _86046) ^ [_101589, _101591] : [vsucc(_101591) = vsucc(_101589), -(_101591 = _101589)]], input).
% 0.39/1.37 ncf('1',plain,[vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))],start(444 ^ 0)).
% 0.39/1.37 ncf('1.1',plain,[-(vplus(vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436)) = vplus(vmul(vd436, vd437), vmul(vd436, vsucc(vd439)))), vmul(vd436, vd437) = vmul(vd436, vd437), vplus(vmul(vd436, vd439), vd436) = vmul(vd436, vsucc(vd439))],extension(82 ^ 1,bind([[_88828, _88830, _88832, _88834], [vmul(vd436, vsucc(vd439)), vplus(vmul(vd436, vd439), vd436), vmul(vd436, vd437), vmul(vd436, vd437)]]))).
% 0.39/1.37 ncf('1.1.1',plain,[-(vmul(vd436, vd437) = vmul(vd436, vd437)), vd436 = vd436, vd437 = vd437],extension(92 ^ 2,bind([[_89187, _89189, _89191, _89193], [vd437, vd437, vd436, vd436]]))).
% 0.39/1.37 ncf('1.1.1.1',plain,[-(vd436 = vd436)],extension(2 ^ 3,bind([[_86190], [vd436]]))).
% 0.39/1.37 ncf('1.1.1.2',plain,[-(vd437 = vd437)],extension(2 ^ 3,bind([[_86190], [vd437]]))).
% 0.39/1.37 ncf('1.1.2',plain,[-(vplus(vmul(vd436, vd439), vd436) = vmul(vd436, vsucc(vd439))), vmul(vd436, vsucc(vd439)) = vplus(vmul(vd436, vd439), vd436)],extension(4 ^ 2,bind([[_86297, _86299], [vplus(vmul(vd436, vd439), vd436), vmul(vd436, vsucc(vd439))]]))).
% 0.39/1.37 ncf('1.1.2.1',plain,[-(vmul(vd436, vsucc(vd439)) = vplus(vmul(vd436, vd439), vd436))],extension(130 ^ 3,bind([[_90445, _90447], [vd439, vd436]]))).
% 0.39/1.37 %-----------------------------------------------------
% 0.39/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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