TSTP Solution File: NUM849+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM849+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 101.12s 98.55s
% Output : Proof 101.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM849+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 17:25:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 101.12/98.55
% 101.12/98.55 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.12/98.55 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.12/98.55 %-----------------------------------------------------
% 101.12/98.55 ncf(matrix, plain, [(459 ^ _91939) ^ [] : [-(vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ [])))], (461 ^ _91939) ^ [] : [vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))], (76 ^ _91939) ^ [_94503, _94505, _94507, _94509] : [-(vplus(_94509, _94505) = vplus(_94507, _94503)), _94509 = _94507, _94505 = _94503], (86 ^ _91939) ^ [_94834, _94836] : [_94836 = _94834, -(vskolem2(_94836) = vskolem2(_94834))], (102 ^ _91939) ^ [_95391, _95393] : [_95393 = _95391, -(vsucc(_95393) = vsucc(_95391))], (92 ^ _91939) ^ [_95080, _95082, _95084, _95086] : [-(vmul(_95086, _95082) = vmul(_95084, _95080)), _95086 = _95084, _95082 = _95080], (2 ^ _91939) ^ [_92083] : [-(_92083 = _92083)], (4 ^ _91939) ^ [_92190, _92192] : [_92192 = _92190, -(_92190 = _92192)], (10 ^ _91939) ^ [_92394, _92396, _92398] : [-(_92398 = _92394), _92398 = _92396, _92396 = _92394], (20 ^ _91939) ^ [_92735, _92737, _92739, _92741] : [-(leq(_92739, _92735)), leq(_92741, _92737), _92741 = _92739, _92737 = _92735], (34 ^ _91939) ^ [_93179, _93181, _93183, _93185] : [-(geq(_93183, _93179)), geq(_93185, _93181), _93185 = _93183, _93181 = _93179], (48 ^ _91939) ^ [_93623, _93625, _93627, _93629] : [-(less(_93627, _93623)), less(_93629, _93625), _93629 = _93627, _93625 = _93623], (62 ^ _91939) ^ [_94047, _94049, _94051, _94053] : [-(greater(_94051, _94047)), greater(_94053, _94049), _94053 = _94051, _94049 = _94047], (108 ^ _91939) ^ [_95609] : [vmul(vmul(vd448, vd449), _95609) = vmul(vd448, vmul(vd449, _95609)), -(vmul(vd448, vplus(vmul(vd449, _95609), vd449)) = vmul(vd448, vmul(vd449, vsucc(_95609))))], (114 ^ _91939) ^ [_95851] : [vmul(vmul(vd448, vd449), _95851) = vmul(vd448, vmul(vd449, _95851)), -(vplus(vmul(vd448, vmul(vd449, _95851)), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, _95851), vd449)))], (120 ^ _91939) ^ [_96095] : [vmul(vmul(vd448, vd449), _96095) = vmul(vd448, vmul(vd449, _96095)), -(vplus(vmul(vmul(vd448, vd449), _96095), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, _96095)), vmul(vd448, vd449)))], (126 ^ _91939) ^ [_96333] : [vmul(vmul(vd448, vd449), _96333) = vmul(vd448, vmul(vd449, _96333)), -(vmul(vmul(vd448, vd449), vsucc(_96333)) = vplus(vmul(vmul(vd448, vd449), _96333), vmul(vd448, vd449)))], (132 ^ _91939) ^ [] : [-(vmul(vd448, vd449) = vmul(vd448, vmul(vd449, v1)))], (134 ^ _91939) ^ [] : [-(vmul(vmul(vd448, vd449), v1) = vmul(vd448, vd449))], (136 ^ _91939) ^ [_96682, _96684, _96686] : [-(vmul(_96686, vplus(_96684, _96682)) = vplus(vmul(_96686, _96684), vmul(_96686, _96682)))], (138 ^ _91939) ^ [_96793, _96795] : [-(vmul(_96795, _96793) = vmul(_96793, _96795))], (140 ^ _91939) ^ [_96893, _96895] : [-(vmul(vsucc(_96895), _96893) = vplus(vmul(_96895, _96893), _96893))], (142 ^ _91939) ^ [_96984] : [-(vmul(v1, _96984) = _96984)], (144 ^ _91939) ^ [_97099, _97101] : [-(vmul(_97101, vsucc(_97099)) = vplus(vmul(_97101, _97099), _97101))], (146 ^ _91939) ^ [_97156, _97158] : [-(vmul(_97158, v1) = _97158)], (148 ^ _91939) ^ [_97270, _97272] : [less(_97272, vplus(_97270, v1)), -(leq(_97272, _97270))], (154 ^ _91939) ^ [_97486, _97488] : [greater(_97488, _97486), -(geq(_97488, vplus(_97486, v1)))], (160 ^ _91939) ^ [_97673] : [-(geq(_97673, v1))], (162 ^ _91939) ^ [_97808, _97810, _97812, _97814] : [-(geq(vplus(_97814, _97810), vplus(_97812, _97808))), geq(_97810, _97808), geq(_97814, _97812)], (172 ^ _91939) ^ [_98167, _98169, _98171, _98173] : [-(greater(vplus(_98173, _98169), vplus(_98171, _98167))), 173 ^ _91939 : [(174 ^ _91939) ^ [] : [greater(_98169, _98167), geq(_98173, _98171)], (180 ^ _91939) ^ [] : [geq(_98169, _98167), greater(_98173, _98171)]]], (188 ^ _91939) ^ [_98701, _98703, _98705, _98707] : [-(greater(vplus(_98707, _98703), vplus(_98705, _98701))), greater(_98703, _98701), greater(_98707, _98705)], (198 ^ _91939) ^ [_99046, _99048, _99050] : [less(vplus(_99050, _99046), vplus(_99048, _99046)), -(less(_99050, _99048))], (204 ^ _91939) ^ [_99288, _99290, _99292] : [vplus(_99292, _99288) = vplus(_99290, _99288), -(_99292 = _99290)], (210 ^ _91939) ^ [_99530, _99532, _99534] : [greater(vplus(_99534, _99530), vplus(_99532, _99530)), -(greater(_99534, _99532))], (216 ^ _91939) ^ [_99772, _99774, _99776] : [less(_99776, _99774), -(less(vplus(_99776, _99772), vplus(_99774, _99772)))], (222 ^ _91939) ^ [_100014, _100016, _100018] : [_100018 = _100016, -(vplus(_100018, _100014) = vplus(_100016, _100014))], (228 ^ _91939) ^ [_100256, _100258, _100260] : [greater(_100260, _100258), -(greater(vplus(_100260, _100256), vplus(_100258, _100256)))], (234 ^ _91939) ^ [_100469, _100471] : [-(greater(vplus(_100471, _100469), _100471))], (236 ^ _91939) ^ [_100595, _100597, _100599] : [-(leq(_100599, _100595)), leq(_100597, _100595), leq(_100599, _100597)], (246 ^ _91939) ^ [_100918, _100920, _100922] : [-(less(_100922, _100918)), 247 ^ _91939 : [(248 ^ _91939) ^ [] : [less(_100920, _100918), leq(_100922, _100920)], (254 ^ _91939) ^ [] : [leq(_100920, _100918), less(_100922, _100920)]]], (262 ^ _91939) ^ [_101410, _101412, _101414] : [-(less(_101414, _101410)), less(_101412, _101410), less(_101414, _101412)], (272 ^ _91939) ^ [_101719, _101721] : [leq(_101721, _101719), -(geq(_101719, _101721))], (278 ^ _91939) ^ [_101929, _101931] : [geq(_101931, _101929), -(leq(_101929, _101931))], (294 ^ _91939) ^ [_102420, _102422] : [295 ^ _91939 : [(296 ^ _91939) ^ [] : [less(_102420, _102422)], (298 ^ _91939) ^ [] : [_102420 = _102422]], -(leq(_102420, _102422))], (284 ^ _91939) ^ [_102168, _102170] : [leq(_102168, _102170), -(less(_102168, _102170)), -(_102168 = _102170)], (312 ^ _91939) ^ [_102987, _102989] : [313 ^ _91939 : [(314 ^ _91939) ^ [] : [greater(_102987, _102989)], (316 ^ _91939) ^ [] : [_102987 = _102989]], -(geq(_102987, _102989))], (302 ^ _91939) ^ [_102735, _102737] : [geq(_102735, _102737), -(greater(_102735, _102737)), -(_102735 = _102737)], (320 ^ _91939) ^ [_103273, _103275] : [less(_103275, _103273), -(greater(_103273, _103275))], (326 ^ _91939) ^ [_103483, _103485] : [greater(_103485, _103483), -(less(_103483, _103485))], (332 ^ _91939) ^ [_103693, _103695] : [-(_103695 = _103693), -(greater(_103695, _103693)), -(less(_103695, _103693))], (342 ^ _91939) ^ [_103994, _103996] : [_103996 = _103994, less(_103996, _103994)], (348 ^ _91939) ^ [_104207, _104209] : [greater(_104209, _104207), less(_104209, _104207)], (354 ^ _91939) ^ [_104420, _104422] : [_104422 = _104420, greater(_104422, _104420)], (360 ^ _91939) ^ [_104662, _104664] : [less(_104662, _104664), -(_104664 = vplus(_104662, 363 ^ [_104662, _104664]))], (367 ^ _91939) ^ [_104890, _104892] : [368 ^ _91939 : [(369 ^ _91939) ^ [_104963] : [_104892 = vplus(_104890, _104963)]], -(less(_104890, _104892))], (373 ^ _91939) ^ [_105159, _105161] : [greater(_105159, _105161), -(_105159 = vplus(_105161, 376 ^ [_105159, _105161]))], (380 ^ _91939) ^ [_105387, _105389] : [381 ^ _91939 : [(382 ^ _91939) ^ [_105460] : [_105387 = vplus(_105389, _105460)]], -(greater(_105387, _105389))], (386 ^ _91939) ^ [_105627, _105629] : [-(_105629 = _105627), -(_105629 = vplus(_105627, 391 ^ [_105627, _105629])), -(_105627 = vplus(_105629, 394 ^ [_105627, _105629]))], (398 ^ _91939) ^ [_106060, _106062] : [_106062 = _106060, 401 ^ _91939 : [(402 ^ _91939) ^ [_106182] : [_106060 = vplus(_106062, _106182)]]], (404 ^ _91939) ^ [_106301, _106303] : [405 ^ _91939 : [(406 ^ _91939) ^ [_106386] : [_106303 = vplus(_106301, _106386)]], 407 ^ _91939 : [(408 ^ _91939) ^ [_106450] : [_106301 = vplus(_106303, _106450)]]], (410 ^ _91939) ^ [_106570, _106572] : [_106572 = _106570, 413 ^ _91939 : [(414 ^ _91939) ^ [_106692] : [_106572 = vplus(_106570, _106692)]]], (416 ^ _91939) ^ [_106811, _106813] : [-(_106813 = _106811), 419 ^ _91939 : [(420 ^ _91939) ^ [_106937] : [vplus(_106937, _106813) = vplus(_106937, _106811)]]], (422 ^ _91939) ^ [_107043, _107045] : [_107043 = vplus(_107045, _107043)], (424 ^ _91939) ^ [_107140, _107142] : [-(vplus(_107140, _107142) = vplus(_107142, _107140))], (426 ^ _91939) ^ [_107240, _107242] : [-(vplus(vsucc(_107242), _107240) = vsucc(vplus(_107242, _107240)))], (428 ^ _91939) ^ [_107330] : [-(vplus(v1, _107330) = vsucc(_107330))], (430 ^ _91939) ^ [_107441, _107443, _107445] : [-(vplus(vplus(_107445, _107443), _107441) = vplus(_107445, vplus(_107443, _107441)))], (432 ^ _91939) ^ [_107569, _107571] : [-(vplus(_107571, vsucc(_107569)) = vsucc(vplus(_107571, _107569)))], (434 ^ _91939) ^ [_107625, _107627] : [-(vplus(_107627, v1) = vsucc(_107627))], (436 ^ _91939) ^ [_107727] : [-(_107727 = v1), -(_107727 = vsucc(vskolem2(_107727)))], (442 ^ _91939) ^ [_107912] : [vsucc(_107912) = _107912], (444 ^ _91939) ^ [_108021, _108023] : [-(_108023 = _108021), vsucc(_108023) = vsucc(_108021)], (456 ^ _91939) ^ [_108411] : [vsucc(_108411) = v1], (450 ^ _91939) ^ [_108243, _108245] : [vsucc(_108245) = vsucc(_108243), -(_108245 = _108243)]], input).
% 101.12/98.55 ncf('1',plain,[vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))],start(461 ^ 0)).
% 101.12/98.55 ncf('1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))), vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)), vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))],extension(10 ^ 1,bind([[_92394, _92396, _92398], [vmul(vd448, vmul(vd449, vsucc(457 ^ []))), vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)), vmul(vmul(vd448, vd449), vsucc(457 ^ []))]]))).
% 101.12/98.55 ncf('1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vplus(vmul(vmul(vd448, vd449), 457 ^ []), vmul(vd448, vd449)), vplus(vmul(vmul(vd448, vd449), 457 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449))],extension(10 ^ 2,bind([[_92394, _92396, _92398], [vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)), vplus(vmul(vmul(vd448, vd449), 457 ^ []), vmul(vd448, vd449)), vmul(vmul(vd448, vd449), vsucc(457 ^ []))]]))).
% 101.12/98.55 ncf('1.1.1.1',plain,[-(vmul(vmul(vd448, vd449), vsucc(457 ^ [])) = vplus(vmul(vmul(vd448, vd449), 457 ^ []), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ []))],extension(126 ^ 3,bind([[_96333], [457 ^ []]]))).
% 101.12/98.55 ncf('1.1.1.1.1',plain,[-(vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ [])))],extension(459 ^ 4)).
% 101.12/98.55 ncf('1.1.1.2',plain,[-(vplus(vmul(vmul(vd448, vd449), 457 ^ []), vmul(vd448, vd449)) = vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449))), vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ []))],extension(120 ^ 3,bind([[_96095], [457 ^ []]]))).
% 101.12/98.55 ncf('1.1.1.2.1',plain,[-(vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ [])))],extension(459 ^ 4)).
% 101.12/98.55 ncf('1.1.2',plain,[-(vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))), vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 457 ^ []), vd449)), vmul(vd448, vplus(vmul(vd449, 457 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))],extension(10 ^ 2,bind([[_92394, _92396, _92398], [vmul(vd448, vmul(vd449, vsucc(457 ^ []))), vmul(vd448, vplus(vmul(vd449, 457 ^ []), vd449)), vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449))]]))).
% 101.12/98.55 ncf('1.1.2.1',plain,[-(vplus(vmul(vd448, vmul(vd449, 457 ^ [])), vmul(vd448, vd449)) = vmul(vd448, vplus(vmul(vd449, 457 ^ []), vd449))), vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ []))],extension(114 ^ 3,bind([[_95851], [457 ^ []]]))).
% 101.12/98.55 ncf('1.1.2.1.1',plain,[-(vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ [])))],extension(459 ^ 4)).
% 101.12/98.55 ncf('1.1.2.2',plain,[-(vmul(vd448, vplus(vmul(vd449, 457 ^ []), vd449)) = vmul(vd448, vmul(vd449, vsucc(457 ^ [])))), vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ []))],extension(108 ^ 3,bind([[_95609], [457 ^ []]]))).
% 101.12/98.55 ncf('1.1.2.2.1',plain,[-(vmul(vmul(vd448, vd449), 457 ^ []) = vmul(vd448, vmul(vd449, 457 ^ [])))],extension(459 ^ 4)).
% 101.12/98.55 %-----------------------------------------------------
% 101.12/98.55 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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