TSTP Solution File: RNG060+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n005.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 11:49:42 EDT 2023
% Result : Theorem 221.11s 213.67s
% Output : Proof 221.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n005.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 20:19:38 EDT 2023
% 0.12/0.33 % CPUTime :
% 221.11/213.67
% 221.11/213.67 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 221.11/213.67 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 221.11/213.67 %-----------------------------------------------------
% 221.11/213.67 ncf(matrix, plain, [(760 ^ _150781) ^ [] : [sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))], !, (142 ^ _127472) ^ [_132291] : [aNaturalNumber0(_132291), true___, -(true___)], (752 ^ _127472) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (223 ^ _127472) ^ [] : [-(aScalar0(sz0z00))], (668 ^ _127472) ^ [] : [-(aVector0(xs))], (720 ^ _127472) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (700 ^ _127472) ^ [] : [-(xq = sziznziztdt0(xt))], (481 ^ _127472) ^ [_142447, _142449] : [aScalar0(_142449), aScalar0(_142447), 496 ^ _127472 : [(499 ^ _127472) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_142449, _142447)))], (497 ^ _127472) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_142449, _142447)))]], sdtlseqdt0(sz0z00, _142449), sdtlseqdt0(sz0z00, _142447)], (90 ^ _127472) ^ [_130451, _130453, _130455, _130457] : [-(sdtlbdtrb0(_130457, _130453) = sdtlbdtrb0(_130455, _130451)), _130457 = _130455, _130453 = _130451], (746 ^ _127472) ^ [] : [-(aScalar0(xN))], (644 ^ _127472) ^ [_147264, _147266] : [aVector0(_147266), aVector0(_147264), -(sdtasasdt0(_147266, _147264) = sdtpldt0(sdtasasdt0(sziznziztdt0(_147266), sziznziztdt0(_147264)), sdtasdt0(sdtlbdtrb0(_147266, aDimensionOf0(_147266)), sdtlbdtrb0(_147264, aDimensionOf0(_147264))))), aDimensionOf0(_147266) = aDimensionOf0(_147264), -(aDimensionOf0(_147264) = sz00)], (756 ^ _127472) ^ [] : [-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))], (754 ^ _127472) ^ [] : [-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))], (291 ^ _127472) ^ [_136901, _136903, _136905] : [302 ^ _127472 : [(305 ^ _127472) ^ [] : [-(sdtasdt0(sdtpldt0(_136905, _136903), _136901) = sdtpldt0(sdtasdt0(_136905, _136901), sdtasdt0(_136903, _136901)))], (303 ^ _127472) ^ [] : [-(sdtasdt0(_136905, sdtpldt0(_136903, _136901)) = sdtpldt0(sdtasdt0(_136905, _136903), sdtasdt0(_136905, _136901)))]], aScalar0(_136905), aScalar0(_136903), aScalar0(_136901)], (100 ^ _127472) ^ [_130782, _130784] : [_130784 = _130782, -(aDimensionOf0(_130784) = aDimensionOf0(_130782))], (64 ^ _127472) ^ [_129557, _129559, _129561, _129563] : [-(sdtlseqdt0(_129561, _129557)), sdtlseqdt0(_129563, _129559), _129563 = _129561, _129559 = _129557], (162 ^ _127472) ^ [_132867] : [170 ^ _127472 : [(173 ^ _127472) ^ [] : [-(_132867 = szszuzczcdt0(169 ^ [_132867]))], (171 ^ _127472) ^ [] : [-(aNaturalNumber0(169 ^ [_132867]))]], aNaturalNumber0(_132867), -(_132867 = sz00)], (734 ^ _127472) ^ [] : [-(aScalar0(xR))], (728 ^ _127472) ^ [] : [-(xG = sdtasdt0(xB, xB))], (690 ^ _127472) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (730 ^ _127472) ^ [] : [-(aScalar0(xH))], (235 ^ _127472) ^ [_134948, _134950] : [-(aScalar0(sdtasdt0(_134950, _134948))), aScalar0(_134950), aScalar0(_134948)], (251 ^ _127472) ^ [_135423] : [aScalar0(_135423), 254 ^ _127472 : [(269 ^ _127472) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (263 ^ _127472) ^ [] : [-(sdtpldt0(_135423, smndt0(_135423)) = sz0z00)], (265 ^ _127472) ^ [] : [-(sdtpldt0(smndt0(_135423), _135423) = sz0z00)], (267 ^ _127472) ^ [] : [-(smndt0(smndt0(_135423)) = _135423)], (259 ^ _127472) ^ [] : [-(sdtasdt0(_135423, sz0z00) = sz0z00)], (257 ^ _127472) ^ [] : [-(sdtpldt0(sz0z00, _135423) = _135423)], (255 ^ _127472) ^ [] : [-(sdtpldt0(_135423, sz0z00) = _135423)], (261 ^ _127472) ^ [] : [-(sdtasdt0(sz0z00, _135423) = sz0z00)]]], (738 ^ _127472) ^ [] : [-(aScalar0(xP))], (467 ^ _127472) ^ [_142060, _142062] : [aScalar0(_142062), aScalar0(_142060), -(sdtlseqdt0(_142062, _142060)), -(sdtlseqdt0(_142060, _142062))], (750 ^ _127472) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (271 ^ _127472) ^ [_136190, _136192, _136194] : [282 ^ _127472 : [(283 ^ _127472) ^ [] : [-(sdtpldt0(sdtpldt0(_136194, _136192), _136190) = sdtpldt0(_136194, sdtpldt0(_136192, _136190)))], (285 ^ _127472) ^ [] : [-(sdtpldt0(_136194, _136192) = sdtpldt0(_136192, _136194))], (289 ^ _127472) ^ [] : [-(sdtasdt0(_136194, _136192) = sdtasdt0(_136192, _136194))], (287 ^ _127472) ^ [] : [-(sdtasdt0(sdtasdt0(_136194, _136192), _136190) = sdtasdt0(_136194, sdtasdt0(_136192, _136190)))]], aScalar0(_136194), aScalar0(_136192), aScalar0(_136190)], (106 ^ _127472) ^ [_131028, _131030, _131032, _131034] : [-(sdtasasdt0(_131034, _131030) = sdtasasdt0(_131032, _131028)), _131034 = _131032, _131030 = _131028], (698 ^ _127472) ^ [] : [-(aVector0(xq))], (411 ^ _127472) ^ [_140503, _140505, _140507, _140509] : [-(sdtlseqdt0(sdtpldt0(_140509, _140505), sdtpldt0(_140507, _140503))), sdtlseqdt0(_140509, _140507), sdtlseqdt0(_140505, _140503), aScalar0(_140509), aScalar0(_140507), aScalar0(_140505), aScalar0(_140503)], (225 ^ _127472) ^ [_134649, _134651] : [-(aScalar0(sdtpldt0(_134651, _134649))), aScalar0(_134651), aScalar0(_134649)], (718 ^ _127472) ^ [] : [-(aScalar0(xE))], (736 ^ _127472) ^ [] : [-(xR = sdtasdt0(xC, xG))], (704 ^ _127472) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (712 ^ _127472) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (529 ^ _127472) ^ [_143765] : [aVector0(_143765), true___, -(true___)], (213 ^ _127472) ^ [_134327] : [aScalar0(_134327), true___, -(true___)], (662 ^ _127472) ^ [_147792] : [aVector0(_147792), -(sdtlseqdt0(sz0z00, sdtasasdt0(_147792, _147792)))], (748 ^ _127472) ^ [] : [-(xN = sdtasdt0(xR, xS))], (740 ^ _127472) ^ [] : [-(xP = sdtasdt0(xE, xH))], (732 ^ _127472) ^ [] : [-(xH = sdtasdt0(xA, xB))], (189 ^ _127472) ^ [_133689, _133691] : [aNaturalNumber0(_133691), aNaturalNumber0(_133689), iLess0(_133691, _133689), true___, -(true___)], (389 ^ _127472) ^ [_139889, _139891, _139893] : [aScalar0(_139893), aScalar0(_139891), aScalar0(_139889), -(sdtlseqdt0(_139893, _139889)), sdtlseqdt0(_139893, _139891), sdtlseqdt0(_139891, _139889)], (670 ^ _127472) ^ [] : [-(aVector0(xt))], (78 ^ _127472) ^ [_129987, _129989] : [_129989 = _129987, -(szszuzczcdt0(_129989) = szszuzczcdt0(_129987))], (626 ^ _127472) ^ [_146771, _146773] : [aVector0(_146773), aVector0(_146771), -(sdtasasdt0(_146773, _146771) = sz0z00), aDimensionOf0(_146773) = aDimensionOf0(_146771), aDimensionOf0(_146771) = sz00], (307 ^ _127472) ^ [_137462, _137464, _137466, _137468] : [-(sdtasdt0(sdtpldt0(_137468, _137466), sdtpldt0(_137464, _137462)) = sdtpldt0(sdtpldt0(sdtasdt0(_137468, _137464), sdtasdt0(_137468, _137462)), sdtpldt0(sdtasdt0(_137466, _137464), sdtasdt0(_137466, _137462)))), aScalar0(_137468), aScalar0(_137466), aScalar0(_137464), aScalar0(_137462)], (744 ^ _127472) ^ [] : [-(xS = sdtasdt0(xF, xD))], (371 ^ _127472) ^ [_139400, _139402] : [aScalar0(_139402), aScalar0(_139400), -(_139402 = _139400), sdtlseqdt0(_139402, _139400), sdtlseqdt0(_139400, _139402)], (347 ^ _127472) ^ [_138752, _138754] : [aScalar0(_138754), aScalar0(_138752), sdtlseqdt0(_138754, _138752), true___, -(true___)], (724 ^ _127472) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _127472) ^ [] : [-(aScalar0(xS))], (726 ^ _127472) ^ [] : [-(aScalar0(xG))], (20 ^ _127472) ^ [_128220, _128222] : [-(aNaturalNumber0(_128220)), _128222 = _128220, aNaturalNumber0(_128222)], (702 ^ _127472) ^ [] : [-(aScalar0(xA))], (722 ^ _127472) ^ [] : [-(aScalar0(xF))], (437 ^ _127472) ^ [_141246, _141248, _141250, _141252] : [aScalar0(_141252), aScalar0(_141250), aScalar0(_141248), aScalar0(_141246), -(sdtlseqdt0(sdtasdt0(_141252, _141248), sdtasdt0(_141250, _141246))), sdtlseqdt0(_141252, _141250), sdtlseqdt0(sz0z00, _141248), sdtlseqdt0(_141248, _141246)], (154 ^ _127472) ^ [_132599] : [aNaturalNumber0(_132599), 157 ^ _127472 : [(160 ^ _127472) ^ [] : [szszuzczcdt0(_132599) = sz00], (158 ^ _127472) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_132599)))]]], (4 ^ _127472) ^ [_127703, _127705] : [_127705 = _127703, -(_127703 = _127705)], (696 ^ _127472) ^ [] : [-(xp = sziznziztdt0(xs))], (54 ^ _127472) ^ [_129254, _129256] : [-(aScalar0(_129254)), _129256 = _129254, aScalar0(_129256)], (501 ^ _127472) ^ [_142995] : [aScalar0(_142995), -(sdtlseqdt0(sz0z00, sdtasdt0(_142995, _142995)))], (672 ^ _127472) ^ [_148108, _148110] : [aVector0(_148110), aVector0(_148108), aDimensionOf0(_148110) = aDimensionOf0(_148108), iLess0(aDimensionOf0(_148110), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_148110, _148108), sdtasasdt0(_148110, _148108)), sdtasdt0(sdtasasdt0(_148110, _148110), sdtasasdt0(_148108, _148108))))], (30 ^ _127472) ^ [_128543, _128545, _128547, _128549] : [-(iLess0(_128547, _128543)), iLess0(_128549, _128545), _128549 = _128547, _128545 = _128543], (555 ^ _127472) ^ [_144509] : [aVector0(_144509), -(aDimensionOf0(_144509) = sz00), 562 ^ _127472 : [(577 ^ _127472) ^ [_145285] : [-(_145285 = sziznziztdt0(_144509)), aVector0(_145285), szszuzczcdt0(aDimensionOf0(_145285)) = aDimensionOf0(_144509), 587 ^ _127472 : [(590 ^ _127472) ^ [] : [sdtlbdtrb0(_145285, 586 ^ [_144509, _145285]) = sdtlbdtrb0(_144509, 586 ^ [_144509, _145285])], (588 ^ _127472) ^ [] : [-(aNaturalNumber0(586 ^ [_144509, _145285]))]]], (563 ^ _127472) ^ [_144792] : [_144792 = sziznziztdt0(_144509), 566 ^ _127472 : [(569 ^ _127472) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_144792)) = aDimensionOf0(_144509))], (571 ^ _127472) ^ [_145094] : [aNaturalNumber0(_145094), -(sdtlbdtrb0(_144792, _145094) = sdtlbdtrb0(_144509, _145094))], (567 ^ _127472) ^ [] : [-(aVector0(_144792))]]]]], (84 ^ _127472) ^ [_130205, _130207] : [_130207 = _130205, -(sziznziztdt0(_130207) = sziznziztdt0(_130205))], (708 ^ _127472) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (245 ^ _127472) ^ [_135233] : [aScalar0(_135233), -(aScalar0(smndt0(_135233)))], (758 ^ _127472) ^ [] : [-(sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS))], (175 ^ _127472) ^ [_133295, _133297] : [aNaturalNumber0(_133297), aNaturalNumber0(_133295), szszuzczcdt0(_133297) = szszuzczcdt0(_133295), -(_133297 = _133295)], (126 ^ _127472) ^ [_131718, _131720] : [_131720 = _131718, -(smndt0(_131720) = smndt0(_131718))], (325 ^ _127472) ^ [_138027, _138029] : [332 ^ _127472 : [(335 ^ _127472) ^ [] : [-(sdtasdt0(smndt0(_138029), _138027) = smndt0(sdtasdt0(_138029, _138027)))], (333 ^ _127472) ^ [] : [-(sdtasdt0(_138029, smndt0(_138027)) = smndt0(sdtasdt0(_138029, _138027)))]], aScalar0(_138029), aScalar0(_138027)], (507 ^ _127472) ^ [_143203, _143205] : [aScalar0(_143205), aScalar0(_143203), -(_143205 = _143203), sdtlseqdt0(sz0z00, _143205), sdtlseqdt0(sz0z00, _143203), sdtasdt0(_143205, _143205) = sdtasdt0(_143203, _143203)], (152 ^ _127472) ^ [] : [-(aNaturalNumber0(sz00))], (716 ^ _127472) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (612 ^ _127472) ^ [_146373, _146375] : [aVector0(_146375), aVector0(_146373), aDimensionOf0(_146375) = aDimensionOf0(_146373), -(aScalar0(sdtasasdt0(_146375, _146373)))], (694 ^ _127472) ^ [] : [-(aVector0(xp))], (44 ^ _127472) ^ [_128959, _128961] : [-(aVector0(_128959)), _128961 = _128959, aVector0(_128961)], (539 ^ _127472) ^ [_144020] : [aVector0(_144020), -(aNaturalNumber0(aDimensionOf0(_144020)))], (692 ^ _127472) ^ [] : [aDimensionOf0(xs) = sz00], (710 ^ _127472) ^ [] : [-(aScalar0(xC))], (207 ^ _127472) ^ [_134135] : [aNaturalNumber0(_134135), -(iLess0(_134135, szszuzczcdt0(_134135)))], (706 ^ _127472) ^ [] : [-(aScalar0(xB))], (132 ^ _127472) ^ [_131944, _131946, _131948, _131950] : [-(sdtasdt0(_131950, _131946) = sdtasdt0(_131948, _131944)), _131950 = _131948, _131946 = _131944], (2 ^ _127472) ^ [_127596] : [-(_127596 = _127596)], (594 ^ _127472) ^ [_145867, _145869] : [aVector0(_145869), aVector0(_145867), -(aDimensionOf0(sziznziztdt0(_145869)) = aDimensionOf0(sziznziztdt0(_145867))), aDimensionOf0(_145869) = aDimensionOf0(_145867), -(aDimensionOf0(_145867) = sz00)], (337 ^ _127472) ^ [_138437, _138439] : [-(sdtasdt0(smndt0(_138439), smndt0(_138437)) = sdtasdt0(_138439, _138437)), aScalar0(_138439), aScalar0(_138437)], (10 ^ _127472) ^ [_127907, _127909, _127911] : [-(_127911 = _127907), _127911 = _127909, _127909 = _127907], (365 ^ _127472) ^ [_139198] : [aScalar0(_139198), -(sdtlseqdt0(_139198, _139198))], (116 ^ _127472) ^ [_131387, _131389, _131391, _131393] : [-(sdtpldt0(_131393, _131389) = sdtpldt0(_131391, _131387)), _131393 = _131391, _131389 = _131387], (545 ^ _127472) ^ [_144224, _144226] : [-(aScalar0(sdtlbdtrb0(_144226, _144224))), aVector0(_144226), aNaturalNumber0(_144224)], (714 ^ _127472) ^ [] : [-(aScalar0(xD))]], input).
% 221.11/213.67 ncf('1',plain,[sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],start(760 ^ 0)).
% 221.11/213.67 ncf('1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))), sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],extension(10 ^ 1,bind([[_127907, _127909, _127911], [sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS)))]]))).
% 221.11/213.67 ncf('1.1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))))), aScalar0(xR), aScalar0(smndt0(xS)), aScalar0(sdtpldt0(xR, smndt0(xS)))],extension(291 ^ 2,bind([[_136901, _136903, _136905], [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR]]))).
% 221.11/213.67 ncf('1.1.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 3)).
% 221.11/213.67 ncf('1.1.1.2',plain,[-(aScalar0(smndt0(xS))), smndt0(sdtasdt0(xF, xD)) = smndt0(xS), aScalar0(smndt0(sdtasdt0(xF, xD)))],extension(54 ^ 3,bind([[_129254, _129256], [smndt0(xS), smndt0(sdtasdt0(xF, xD))]]))).
% 221.11/213.67 ncf('1.1.1.2.1',plain,[-(smndt0(sdtasdt0(xF, xD)) = smndt0(xS)), smndt0(xS) = smndt0(sdtasdt0(xF, xD))],extension(4 ^ 4,bind([[_127703, _127705], [smndt0(sdtasdt0(xF, xD)), smndt0(xS)]]))).
% 221.11/213.67 ncf('1.1.1.2.1.1',plain,[-(smndt0(xS) = smndt0(sdtasdt0(xF, xD))), xS = sdtasdt0(xF, xD)],extension(126 ^ 5,bind([[_131718, _131720], [sdtasdt0(xF, xD), xS]]))).
% 221.11/213.67 ncf('1.1.1.2.1.1.1',plain,[-(xS = sdtasdt0(xF, xD))],extension(744 ^ 6)).
% 221.11/213.67 ncf('1.1.1.2.2',plain,[-(aScalar0(smndt0(sdtasdt0(xF, xD)))), aScalar0(sdtasdt0(xF, xD))],extension(245 ^ 4,bind([[_135233], [sdtasdt0(xF, xD)]]))).
% 221.11/213.67 ncf('1.1.1.2.2.1',plain,[-(aScalar0(sdtasdt0(xF, xD))), aScalar0(xF), aScalar0(xD)],extension(235 ^ 5,bind([[_134948, _134950], [xD, xF]]))).
% 221.11/213.67 ncf('1.1.1.2.2.1.1',plain,[-(aScalar0(xF))],extension(722 ^ 6)).
% 221.11/213.67 ncf('1.1.1.2.2.1.2',plain,[-(aScalar0(xD))],extension(714 ^ 6)).
% 221.11/213.67 ncf('1.1.1.3',plain,[-(aScalar0(sdtpldt0(xR, smndt0(xS)))), aScalar0(xR), aScalar0(smndt0(xS))],extension(225 ^ 3,bind([[_134649, _134651], [smndt0(xS), xR]]))).
% 221.11/213.67 ncf('1.1.1.3.1',plain,[-(aScalar0(xR))],lemmata('[1, 1].x')).
% 221.11/213.67 ncf('1.1.1.3.2',plain,[-(aScalar0(smndt0(xS)))],lemmata('[1, 1].x')).
% 221.11/213.67 ncf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(116 ^ 2,bind([[_131387, _131389, _131391, _131393], [sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS)))]]))).
% 221.11/213.67 ncf('1.1.2.1',plain,[-(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))],extension(10 ^ 3,bind([[_127907, _127909, _127911], [sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS)))]]))).
% 221.11/213.67 ncf('1.1.2.1.1',plain,[-(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)))), aScalar0(xR), aScalar0(xR), aScalar0(smndt0(xS))],extension(291 ^ 4,bind([[_136901, _136903, _136905], [smndt0(xS), xR, xR]]))).
% 221.11/213.67 ncf('1.1.2.1.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 5)).
% 221.11/213.67 ncf('1.1.2.1.1.2',plain,[-(aScalar0(xR))],lemmata('[1, 2, 1, 1].x')).
% 221.11/213.67 ncf('1.1.2.1.1.3',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 5,bind([[_135233], [xS]]))).
% 221.11/213.67 ncf('1.1.2.1.1.3.1',plain,[-(aScalar0(xS))],extension(742 ^ 6)).
% 221.11/213.67 ncf('1.1.2.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, xR) = sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)) = smndt0(xN)],extension(116 ^ 4,bind([[_131387, _131389, _131391, _131393], [smndt0(xN), sdtasdt0(xR, smndt0(xS)), sdtasdt0(xR, xR), sdtasdt0(xR, xR)]]))).
% 221.11/213.67 ncf('1.1.2.1.2.1',plain,[-(sdtasdt0(xR, xR) = sdtasdt0(xR, xR)), aScalar0(xR), aScalar0(xR), aScalar0(sz0z00)],extension(271 ^ 5,bind([[_136190, _136192, _136194], [sz0z00, xR, xR]]))).
% 221.11/213.67 ncf('1.1.2.1.2.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 6)).
% 221.11/213.67 ncf('1.1.2.1.2.1.2',plain,[-(aScalar0(xR))],lemmata('[2, 1, 2, 1, 1].x')).
% 221.11/213.67 ncf('1.1.2.1.2.1.3',plain,[-(aScalar0(sz0z00))],extension(223 ^ 6)).
% 221.11/213.67 ncf('1.1.2.1.2.2',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))],extension(754 ^ 5)).
% 221.11/213.67 ncf('1.1.2.2',plain,[-(sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))), sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(10 ^ 3,bind([[_127907, _127909, _127911], [sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)), sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))]]))).
% 221.11/213.67 ncf('1.1.2.2.1',plain,[-(sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS)))), aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(smndt0(xS))],extension(291 ^ 4,bind([[_136901, _136903, _136905], [smndt0(xS), xR, smndt0(xS)]]))).
% 221.11/213.67 ncf('1.1.2.2.1.1',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 5,bind([[_135233], [xS]]))).
% 221.11/213.67 ncf('1.1.2.2.1.1.1',plain,[-(aScalar0(xS))],extension(742 ^ 6)).
% 221.11/213.67 ncf('1.1.2.2.1.2',plain,[-(aScalar0(xR))],extension(734 ^ 5)).
% 221.11/213.67 ncf('1.1.2.2.1.3',plain,[-(aScalar0(smndt0(xS)))],lemmata('[2, 2, 1, 1].x')).
% 221.11/213.67 ncf('1.1.2.2.2',plain,[-(sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(smndt0(xS), xR) = smndt0(xN), sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS)],extension(116 ^ 4,bind([[_131387, _131389, _131391, _131393], [sdtasdt0(xS, xS), sdtasdt0(smndt0(xS), smndt0(xS)), smndt0(xN), sdtasdt0(smndt0(xS), xR)]]))).
% 221.11/213.67 ncf('1.1.2.2.2.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))],extension(756 ^ 5)).
% 221.11/213.67 ncf('1.1.2.2.2.2',plain,[-(sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS))],extension(758 ^ 5)).
% 221.11/213.67 %-----------------------------------------------------
% 221.11/213.67 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------