TSTP Solution File: NUM434+3 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM434+3 : TPTP v8.1.2. Released v4.0.0.
% 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 11:44:37 EDT 2023
% Result : Theorem 1.56s 2.40s
% Output : Proof 1.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM434+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % 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 16:43:57 EDT 2023
% 0.13/0.33 % CPUTime :
% 1.56/2.40
% 1.56/2.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.56/2.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.56/2.40 %-----------------------------------------------------
% 1.56/2.40 ncf(matrix, plain, [(402 ^ _60333) ^ [_72958] : [aInteger0(_72958), sdtasdt0(sdtasdt0(xp, xq), _72958) = sdtpldt0(xa, smndt0(xb))], (62 ^ _60333) ^ [_62467, _62469, _62471, _62473] : [-(sdtasdt0(_62473, _62469) = sdtasdt0(_62471, _62467)), _62473 = _62471, _62469 = _62467], (82 ^ _60333) ^ [_63137, _63139] : [_63139 = _63137, -(smndt0(_63139) = smndt0(_63137))], (72 ^ _60333) ^ [_62826, _62828, _62830, _62832] : [-(sdtpldt0(_62832, _62828) = sdtpldt0(_62830, _62826)), _62832 = _62830, _62828 = _62826], (2 ^ _60333) ^ [_60477] : [-(_60477 = _60477)], (4 ^ _60333) ^ [_60584, _60586] : [_60586 = _60584, -(_60584 = _60586)], (10 ^ _60333) ^ [_60788, _60790, _60792] : [-(_60792 = _60788), _60792 = _60790, _60790 = _60788], (20 ^ _60333) ^ [_61129, _61131, _61133, _61135] : [-(aDivisorOf0(_61133, _61129)), aDivisorOf0(_61135, _61131), _61135 = _61133, _61131 = _61129], (52 ^ _60333) ^ [_62134, _62136] : [-(aInteger0(_62134)), _62136 = _62134, aInteger0(_62136)], (34 ^ _60333) ^ [_61601, _61603, _61605, _61607, _61609, _61611] : [-(sdteqdtlpzmzozddtrp0(_61609, _61605, _61601)), sdteqdtlpzmzozddtrp0(_61611, _61607, _61603), _61611 = _61609, _61607 = _61605, _61603 = _61601], (88 ^ _60333) ^ [_63351] : [aInteger0(_63351), true___, -(true___)], (98 ^ _60333) ^ [] : [-(aInteger0(sz00))], (100 ^ _60333) ^ [] : [-(aInteger0(sz10))], (102 ^ _60333) ^ [_63712] : [aInteger0(_63712), -(aInteger0(smndt0(_63712)))], (108 ^ _60333) ^ [_63916, _63918] : [-(aInteger0(sdtpldt0(_63918, _63916))), aInteger0(_63918), aInteger0(_63916)], (118 ^ _60333) ^ [_64215, _64217] : [-(aInteger0(sdtasdt0(_64217, _64215))), aInteger0(_64217), aInteger0(_64215)], (128 ^ _60333) ^ [_64528, _64530, _64532] : [-(sdtpldt0(_64532, sdtpldt0(_64530, _64528)) = sdtpldt0(sdtpldt0(_64532, _64530), _64528)), aInteger0(_64532), aInteger0(_64530), aInteger0(_64528)], (142 ^ _60333) ^ [_64948, _64950] : [-(sdtpldt0(_64950, _64948) = sdtpldt0(_64948, _64950)), aInteger0(_64950), aInteger0(_64948)], (152 ^ _60333) ^ [_65241] : [aInteger0(_65241), 155 ^ _60333 : [(156 ^ _60333) ^ [] : [-(sdtpldt0(_65241, sz00) = _65241)], (158 ^ _60333) ^ [] : [-(_65241 = sdtpldt0(sz00, _65241))]]], (160 ^ _60333) ^ [_65514] : [aInteger0(_65514), 163 ^ _60333 : [(164 ^ _60333) ^ [] : [-(sdtpldt0(_65514, smndt0(_65514)) = sz00)], (166 ^ _60333) ^ [] : [-(sz00 = sdtpldt0(smndt0(_65514), _65514))]]], (168 ^ _60333) ^ [_65823, _65825, _65827] : [-(sdtasdt0(_65827, sdtasdt0(_65825, _65823)) = sdtasdt0(sdtasdt0(_65827, _65825), _65823)), aInteger0(_65827), aInteger0(_65825), aInteger0(_65823)], (182 ^ _60333) ^ [_66243, _66245] : [-(sdtasdt0(_66245, _66243) = sdtasdt0(_66243, _66245)), aInteger0(_66245), aInteger0(_66243)], (192 ^ _60333) ^ [_66536] : [aInteger0(_66536), 195 ^ _60333 : [(196 ^ _60333) ^ [] : [-(sdtasdt0(_66536, sz10) = _66536)], (198 ^ _60333) ^ [] : [-(_66536 = sdtasdt0(sz10, _66536))]]], (200 ^ _60333) ^ [_66837, _66839, _66841] : [211 ^ _60333 : [(212 ^ _60333) ^ [] : [-(sdtasdt0(_66841, sdtpldt0(_66839, _66837)) = sdtpldt0(sdtasdt0(_66841, _66839), sdtasdt0(_66841, _66837)))], (214 ^ _60333) ^ [] : [-(sdtasdt0(sdtpldt0(_66841, _66839), _66837) = sdtpldt0(sdtasdt0(_66841, _66837), sdtasdt0(_66839, _66837)))]], aInteger0(_66841), aInteger0(_66839), aInteger0(_66837)], (216 ^ _60333) ^ [_67356] : [aInteger0(_67356), 219 ^ _60333 : [(220 ^ _60333) ^ [] : [-(sdtasdt0(_67356, sz00) = sz00)], (222 ^ _60333) ^ [] : [-(sz00 = sdtasdt0(sz00, _67356))]]], (224 ^ _60333) ^ [_67629] : [aInteger0(_67629), 227 ^ _60333 : [(228 ^ _60333) ^ [] : [-(sdtasdt0(smndt0(sz10), _67629) = smndt0(_67629))], (230 ^ _60333) ^ [] : [-(smndt0(_67629) = sdtasdt0(_67629, smndt0(sz10)))]]], (232 ^ _60333) ^ [_67924, _67926] : [aInteger0(_67926), aInteger0(_67924), sdtasdt0(_67926, _67924) = sz00, -(_67926 = sz00), -(_67924 = sz00)], (250 ^ _60333) ^ [_68392] : [aInteger0(_68392), 253 ^ _60333 : [(254 ^ _60333) ^ [_68578] : [aDivisorOf0(_68578, _68392), 257 ^ _60333 : [(258 ^ _60333) ^ [] : [-(aInteger0(_68578))], (260 ^ _60333) ^ [] : [_68578 = sz00], (263 ^ _60333) ^ [] : [-(aInteger0(261 ^ [_68392, _68578]))], (265 ^ _60333) ^ [] : [-(sdtasdt0(_68578, 261 ^ [_68392, _68578]) = _68392)]]], (267 ^ _60333) ^ [_69040] : [-(aDivisorOf0(_69040, _68392)), aInteger0(_69040), -(_69040 = sz00), 276 ^ _60333 : [(277 ^ _60333) ^ [_69307] : [aInteger0(_69307), sdtasdt0(_69040, _69307) = _68392]]]]], (285 ^ _60333) ^ [_69610, _69612, _69614] : [aInteger0(_69614), aInteger0(_69612), aInteger0(_69610), -(_69610 = sz00), 300 ^ _60333 : [(301 ^ _60333) ^ [] : [sdteqdtlpzmzozddtrp0(_69614, _69612, _69610), -(aDivisorOf0(_69610, sdtpldt0(_69614, smndt0(_69612))))], (307 ^ _60333) ^ [] : [aDivisorOf0(_69610, sdtpldt0(_69614, smndt0(_69612))), -(sdteqdtlpzmzozddtrp0(_69614, _69612, _69610))]]], (313 ^ _60333) ^ [_70386, _70388] : [-(sdteqdtlpzmzozddtrp0(_70388, _70388, _70386)), aInteger0(_70388), aInteger0(_70386), -(_70386 = sz00)], (327 ^ _60333) ^ [_70789, _70791, _70793] : [sdteqdtlpzmzozddtrp0(_70793, _70791, _70789), -(sdteqdtlpzmzozddtrp0(_70791, _70793, _70789)), aInteger0(_70793), aInteger0(_70791), aInteger0(_70789), -(_70789 = sz00)], (379 ^ _60333) ^ [] : [-(aInteger0(xa))], (381 ^ _60333) ^ [] : [-(aInteger0(xb))], (383 ^ _60333) ^ [] : [-(aInteger0(xp))], (385 ^ _60333) ^ [] : [xp = sz00], (387 ^ _60333) ^ [] : [-(aInteger0(xq))], (389 ^ _60333) ^ [] : [xq = sz00], (391 ^ _60333) ^ [] : [sdtasdt0(xp, xq) = sz00], (394 ^ _60333) ^ [] : [-(aInteger0(392 ^ []))], (396 ^ _60333) ^ [] : [-(sdtasdt0(sdtasdt0(xp, xq), 392 ^ []) = sdtpldt0(xa, smndt0(xb)))], (398 ^ _60333) ^ [] : [-(aDivisorOf0(sdtasdt0(xp, xq), sdtpldt0(xa, smndt0(xb))))], (400 ^ _60333) ^ [] : [-(sdteqdtlpzmzozddtrp0(xa, xb, sdtasdt0(xp, xq)))], (349 ^ _60333) ^ [_71408, _71410, _71412, _71414] : [-(sdteqdtlpzmzozddtrp0(_71414, _71408, _71410)), sdteqdtlpzmzozddtrp0(_71414, _71412, _71410), sdteqdtlpzmzozddtrp0(_71412, _71408, _71410), aInteger0(_71414), aInteger0(_71412), aInteger0(_71410), -(_71410 = sz00), aInteger0(_71408)]], input).
% 1.56/2.40 ncf('1',plain,[aInteger0(sz00), 254 : aDivisorOf0(sz00, sz00), 260 : sz00 = sz00],start(250 ^ 0,bind([[_68392, _68578], [sz00, sz00]]))).
% 1.56/2.40 ncf('1.1',plain,[-(aInteger0(sz00))],extension(98 ^ 1)).
% 1.56/2.40 ncf('1.2',plain,[-(aDivisorOf0(sz00, sz00)), aInteger0(sz00), -(sz00 = sz00), 277 : aInteger0(sz00), 277 : sdtasdt0(sz00, sz00) = sz00],extension(267 ^ 3,bind([[_69040, _69307], [sz00, sz00]]))).
% 1.56/2.40 ncf('1.2.1',plain,[-(aInteger0(sz00))],extension(98 ^ 4)).
% 1.56/2.40 ncf('1.2.2',plain,[sz00 = sz00, -(aInteger0(sz00)), aInteger0(sz00)],extension(52 ^ 4,bind([[_62134, _62136], [sz00, sz00]]))).
% 1.56/2.40 ncf('1.2.2.1',plain,[aInteger0(sz00), -(aInteger0(sdtpldt0(392 ^ [], sz00))), aInteger0(392 ^ [])],extension(108 ^ 5,bind([[_63916, _63918], [sz00, 392 ^ []]]))).
% 1.56/2.40 ncf('1.2.2.1.1',plain,[aInteger0(sdtpldt0(392 ^ [], sz00)), -(aInteger0(392 ^ [])), sdtpldt0(392 ^ [], sz00) = 392 ^ []],extension(52 ^ 6,bind([[_62134, _62136], [392 ^ [], sdtpldt0(392 ^ [], sz00)]]))).
% 1.56/2.40 ncf('1.2.2.1.1.1',plain,[aInteger0(392 ^ []), sdtasdt0(sdtasdt0(xp, xq), 392 ^ []) = sdtpldt0(xa, smndt0(xb))],extension(402 ^ 7,bind([[_72958], [392 ^ []]]))).
% 1.56/2.40 ncf('1.2.2.1.1.1.1',plain,[-(sdtasdt0(sdtasdt0(xp, xq), 392 ^ []) = sdtpldt0(xa, smndt0(xb)))],extension(396 ^ 8)).
% 1.56/2.40 ncf('1.2.2.1.1.2',plain,[-(sdtpldt0(392 ^ [], sz00) = 392 ^ []), aInteger0(392 ^ [])],extension(152 ^ 7,bind([[_65241], [392 ^ []]]))).
% 1.56/2.40 ncf('1.2.2.1.1.2.1',plain,[-(aInteger0(392 ^ []))],extension(394 ^ 8)).
% 1.56/2.40 ncf('1.2.2.1.2',plain,[-(aInteger0(392 ^ []))],extension(394 ^ 6)).
% 1.56/2.40 ncf('1.2.2.2',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 1.56/2.40 ncf('1.2.3',plain,[-(aInteger0(sz00))],extension(98 ^ 6)).
% 1.56/2.40 ncf('1.2.4',plain,[-(sdtasdt0(sz00, sz00) = sz00), sz00 = sdtasdt0(sz00, sz00)],extension(4 ^ 6,bind([[_60584, _60586], [sdtasdt0(sz00, sz00), sz00]]))).
% 1.56/2.40 ncf('1.2.4.1',plain,[-(sz00 = sdtasdt0(sz00, sz00)), aInteger0(sz00)],extension(216 ^ 7,bind([[_67356], [sz00]]))).
% 1.56/2.40 ncf('1.2.4.1.1',plain,[-(aInteger0(sz00))],lemmata('[1].x')).
% 1.56/2.40 ncf('1.3',plain,[-(sz00 = sz00)],extension(2 ^ 5,bind([[_60477], [sz00]]))).
% 1.56/2.40 %-----------------------------------------------------
% 1.56/2.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------