TSTP Solution File: RNG059+2 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n014.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 236.52s 229.03s
% Output   : Proof 236.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG059+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 20:21:12 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 236.52/229.03  
% 236.52/229.03  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 236.52/229.03  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 236.52/229.03  %-----------------------------------------------------
% 236.52/229.03  ncf(matrix, plain, [(770 ^ _145754) ^ [] : [sdtasdt0(smndt0(xS), xR) = smndt0(xN)], !, (768 ^ _122041) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (136 ^ _122041) ^ [_126626, _126628] : [_126628 = _126626, -(smndt0(_126628) = smndt0(_126626))], (662 ^ _122041) ^ [_142361] : [aVector0(_142361), -(sdtlseqdt0(sz0z00, sdtasasdt0(_142361, _142361)))], (437 ^ _122041) ^ [_135815, _135817, _135819, _135821] : [aScalar0(_135821), aScalar0(_135819), aScalar0(_135817), aScalar0(_135815), -(sdtlseqdt0(sdtasdt0(_135821, _135817), sdtasdt0(_135819, _135815))), sdtlseqdt0(_135821, _135819), sdtlseqdt0(sz0z00, _135817), sdtlseqdt0(_135817, _135815)], (766 ^ _122041) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (748 ^ _122041) ^ [] : [-(xH = sdtasdt0(xA, xB))], (10 ^ _122041) ^ [_122476, _122478, _122480] : [-(_122480 = _122476), _122480 = _122478, _122478 = _122476], (325 ^ _122041) ^ [_132596, _132598] : [332 ^ _122041 : [(333 ^ _122041) ^ [] : [-(sdtasdt0(_132598, smndt0(_132596)) = smndt0(sdtasdt0(_132598, _132596)))], (335 ^ _122041) ^ [] : [-(sdtasdt0(smndt0(_132598), _132596) = smndt0(sdtasdt0(_132598, _132596)))]], aScalar0(_132598), aScalar0(_132596)], (223 ^ _122041) ^ [] : [-(aScalar0(sz0z00))], (162 ^ _122041) ^ [_127436] : [170 ^ _122041 : [(171 ^ _122041) ^ [] : [-(aNaturalNumber0(169 ^ [_127436]))], (173 ^ _122041) ^ [] : [-(_127436 = szszuzczcdt0(169 ^ [_127436]))]], aNaturalNumber0(_127436), -(_127436 = sz00)], (752 ^ _122041) ^ [] : [-(xR = sdtasdt0(xC, xG))], (389 ^ _122041) ^ [_134458, _134460, _134462] : [aScalar0(_134462), aScalar0(_134460), aScalar0(_134458), -(sdtlseqdt0(_134462, _134458)), sdtlseqdt0(_134462, _134460), sdtlseqdt0(_134460, _134458)], (704 ^ _122041) ^ [] : [-(xp = sziznziztdt0(xs))], (710 ^ _122041) ^ [_143782] : [aNaturalNumber0(_143782), -(sdtlbdtrb0(xq, _143782) = sdtlbdtrb0(xt, _143782))], (4 ^ _122041) ^ [_122272, _122274] : [_122274 = _122272, -(_122272 = _122274)], (722 ^ _122041) ^ [] : [-(aScalar0(xB))], (116 ^ _122041) ^ [_125956, _125958, _125960, _125962] : [-(sdtasasdt0(_125962, _125958) = sdtasasdt0(_125960, _125956)), _125962 = _125960, _125958 = _125956], (726 ^ _122041) ^ [] : [-(aScalar0(xC))], (718 ^ _122041) ^ [] : [-(aScalar0(xA))], (154 ^ _122041) ^ [_127168] : [aNaturalNumber0(_127168), 157 ^ _122041 : [(158 ^ _122041) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_127168)))], (160 ^ _122041) ^ [] : [szszuzczcdt0(_127168) = sz00]]], (720 ^ _122041) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (94 ^ _122041) ^ [_125133, _125135] : [_125135 = _125133, -(sziznziztdt0(_125135) = sziznziztdt0(_125133))], (88 ^ _122041) ^ [_124915, _124917] : [_124917 = _124915, -(szszuzczcdt0(_124917) = szszuzczcdt0(_124915))], (672 ^ _122041) ^ [_142677, _142679] : [aVector0(_142679), aVector0(_142677), aDimensionOf0(_142679) = aDimensionOf0(_142677), iLess0(aDimensionOf0(_142679), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_142679, _142677), sdtasasdt0(_142679, _142677)), sdtasdt0(sdtasasdt0(_142679, _142679), sdtasasdt0(_142677, _142677))))], (762 ^ _122041) ^ [] : [-(aScalar0(xN))], (365 ^ _122041) ^ [_133767] : [aScalar0(_133767), -(sdtlseqdt0(_133767, _133767))], (750 ^ _122041) ^ [] : [-(aScalar0(xR))], (690 ^ _122041) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (698 ^ _122041) ^ [_143417] : [aNaturalNumber0(_143417), -(sdtlbdtrb0(xp, _143417) = sdtlbdtrb0(xs, _143417))], (189 ^ _122041) ^ [_128258, _128260] : [aNaturalNumber0(_128260), aNaturalNumber0(_128258), iLess0(_128260, _128258), true___, -(true___)], (271 ^ _122041) ^ [_130759, _130761, _130763] : [282 ^ _122041 : [(287 ^ _122041) ^ [] : [-(sdtasdt0(sdtasdt0(_130763, _130761), _130759) = sdtasdt0(_130763, sdtasdt0(_130761, _130759)))], (283 ^ _122041) ^ [] : [-(sdtpldt0(sdtpldt0(_130763, _130761), _130759) = sdtpldt0(_130763, sdtpldt0(_130761, _130759)))], (285 ^ _122041) ^ [] : [-(sdtpldt0(_130763, _130761) = sdtpldt0(_130761, _130763))], (289 ^ _122041) ^ [] : [-(sdtasdt0(_130763, _130761) = sdtasdt0(_130761, _130763))]], aScalar0(_130763), aScalar0(_130761), aScalar0(_130759)], (507 ^ _122041) ^ [_137772, _137774] : [aScalar0(_137774), aScalar0(_137772), -(_137774 = _137772), sdtlseqdt0(sz0z00, _137774), sdtlseqdt0(sz0z00, _137772), sdtasdt0(_137774, _137774) = sdtasdt0(_137772, _137772)], (734 ^ _122041) ^ [] : [-(aScalar0(xE))], (64 ^ _122041) ^ [_124126, _124128, _124130, _124132] : [-(sdtlseqdt0(_124130, _124126)), sdtlseqdt0(_124132, _124128), _124132 = _124130, _124128 = _124126], (175 ^ _122041) ^ [_127864, _127866] : [aNaturalNumber0(_127866), aNaturalNumber0(_127864), szszuzczcdt0(_127866) = szszuzczcdt0(_127864), -(_127866 = _127864)], (626 ^ _122041) ^ [_141340, _141342] : [aVector0(_141342), aVector0(_141340), -(sdtasasdt0(_141342, _141340) = sz0z00), aDimensionOf0(_141342) = aDimensionOf0(_141340), aDimensionOf0(_141340) = sz00], (307 ^ _122041) ^ [_132031, _132033, _132035, _132037] : [-(sdtasdt0(sdtpldt0(_132037, _132035), sdtpldt0(_132033, _132031)) = sdtpldt0(sdtpldt0(sdtasdt0(_132037, _132033), sdtasdt0(_132037, _132031)), sdtpldt0(sdtasdt0(_132035, _132033), sdtasdt0(_132035, _132031)))), aScalar0(_132037), aScalar0(_132035), aScalar0(_132033), aScalar0(_132031)], (291 ^ _122041) ^ [_131470, _131472, _131474] : [302 ^ _122041 : [(303 ^ _122041) ^ [] : [-(sdtasdt0(_131474, sdtpldt0(_131472, _131470)) = sdtpldt0(sdtasdt0(_131474, _131472), sdtasdt0(_131474, _131470)))], (305 ^ _122041) ^ [] : [-(sdtasdt0(sdtpldt0(_131474, _131472), _131470) = sdtpldt0(sdtasdt0(_131474, _131470), sdtasdt0(_131472, _131470)))]], aScalar0(_131474), aScalar0(_131472), aScalar0(_131470)], (481 ^ _122041) ^ [_137016, _137018] : [aScalar0(_137018), aScalar0(_137016), 496 ^ _122041 : [(497 ^ _122041) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_137018, _137016)))], (499 ^ _122041) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_137018, _137016)))]], sdtlseqdt0(sz0z00, _137018), sdtlseqdt0(sz0z00, _137016)], (696 ^ _122041) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (756 ^ _122041) ^ [] : [-(xP = sdtasdt0(xE, xH))], (529 ^ _122041) ^ [_138334] : [aVector0(_138334), true___, -(true___)], (235 ^ _122041) ^ [_129517, _129519] : [-(aScalar0(sdtasdt0(_129519, _129517))), aScalar0(_129519), aScalar0(_129517)], (225 ^ _122041) ^ [_129218, _129220] : [-(aScalar0(sdtpldt0(_129220, _129218))), aScalar0(_129220), aScalar0(_129218)], (142 ^ _122041) ^ [_126860] : [aNaturalNumber0(_126860), true___, -(true___)], (754 ^ _122041) ^ [] : [-(aScalar0(xP))], (2 ^ _122041) ^ [_122165] : [-(_122165 = _122165)], (760 ^ _122041) ^ [] : [-(xS = sdtasdt0(xF, xD))], (110 ^ _122041) ^ [_125710, _125712] : [_125712 = _125710, -(aDimensionOf0(_125712) = aDimensionOf0(_125710))], (670 ^ _122041) ^ [] : [-(aVector0(xt))], (467 ^ _122041) ^ [_136629, _136631] : [aScalar0(_136631), aScalar0(_136629), -(sdtlseqdt0(_136631, _136629)), -(sdtlseqdt0(_136629, _136631))], (728 ^ _122041) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (594 ^ _122041) ^ [_140436, _140438] : [aVector0(_140438), aVector0(_140436), -(aDimensionOf0(sziznziztdt0(_140438)) = aDimensionOf0(sziznziztdt0(_140436))), aDimensionOf0(_140438) = aDimensionOf0(_140436), -(aDimensionOf0(_140436) = sz00)], (555 ^ _122041) ^ [_139078] : [aVector0(_139078), -(aDimensionOf0(_139078) = sz00), 562 ^ _122041 : [(563 ^ _122041) ^ [_139361] : [_139361 = sziznziztdt0(_139078), 566 ^ _122041 : [(567 ^ _122041) ^ [] : [-(aVector0(_139361))], (571 ^ _122041) ^ [_139663] : [aNaturalNumber0(_139663), -(sdtlbdtrb0(_139361, _139663) = sdtlbdtrb0(_139078, _139663))], (569 ^ _122041) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_139361)) = aDimensionOf0(_139078))]]], (577 ^ _122041) ^ [_139854] : [-(_139854 = sziznziztdt0(_139078)), aVector0(_139854), szszuzczcdt0(aDimensionOf0(_139854)) = aDimensionOf0(_139078), 587 ^ _122041 : [(588 ^ _122041) ^ [] : [-(aNaturalNumber0(586 ^ [_139078, _139854]))], (590 ^ _122041) ^ [] : [sdtlbdtrb0(_139854, 586 ^ [_139078, _139854]) = sdtlbdtrb0(_139078, 586 ^ [_139078, _139854])]]]]], (539 ^ _122041) ^ [_138589] : [aVector0(_138589), -(aNaturalNumber0(aDimensionOf0(_138589)))], (126 ^ _122041) ^ [_126315, _126317, _126319, _126321] : [-(sdtasdt0(_126321, _126317) = sdtasdt0(_126319, _126315)), _126321 = _126319, _126317 = _126315], (207 ^ _122041) ^ [_128704] : [aNaturalNumber0(_128704), -(iLess0(_128704, szszuzczcdt0(_128704)))], (251 ^ _122041) ^ [_129992] : [aScalar0(_129992), 254 ^ _122041 : [(263 ^ _122041) ^ [] : [-(sdtpldt0(_129992, smndt0(_129992)) = sz0z00)], (259 ^ _122041) ^ [] : [-(sdtasdt0(_129992, sz0z00) = sz0z00)], (269 ^ _122041) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (261 ^ _122041) ^ [] : [-(sdtasdt0(sz0z00, _129992) = sz0z00)], (257 ^ _122041) ^ [] : [-(sdtpldt0(sz0z00, _129992) = _129992)], (265 ^ _122041) ^ [] : [-(sdtpldt0(smndt0(_129992), _129992) = sz0z00)], (255 ^ _122041) ^ [] : [-(sdtpldt0(_129992, sz0z00) = _129992)], (267 ^ _122041) ^ [] : [-(smndt0(smndt0(_129992)) = _129992)]]], (213 ^ _122041) ^ [_128896] : [aScalar0(_128896), true___, -(true___)], (34 ^ _122041) ^ [_123233, _123235] : [-(aVector0(_123233)), _123235 = _123233, aVector0(_123235)], (20 ^ _122041) ^ [_122817, _122819, _122821, _122823] : [-(iLess0(_122821, _122817)), iLess0(_122823, _122819), _122823 = _122821, _122819 = _122817], (716 ^ _122041) ^ [] : [-(xq = sziznziztdt0(xt))], (764 ^ _122041) ^ [] : [-(xN = sdtasdt0(xR, xS))], (501 ^ _122041) ^ [_137564] : [aScalar0(_137564), -(sdtlseqdt0(sz0z00, sdtasdt0(_137564, _137564)))], (78 ^ _122041) ^ [_124584, _124586, _124588, _124590] : [-(sdtpldt0(_124590, _124586) = sdtpldt0(_124588, _124584)), _124590 = _124588, _124586 = _124584], (746 ^ _122041) ^ [] : [-(aScalar0(xH))], (708 ^ _122041) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (744 ^ _122041) ^ [] : [-(xG = sdtasdt0(xB, xB))], (337 ^ _122041) ^ [_133006, _133008] : [-(sdtasdt0(smndt0(_133008), smndt0(_133006)) = sdtasdt0(_133008, _133006)), aScalar0(_133008), aScalar0(_133006)], (612 ^ _122041) ^ [_140942, _140944] : [aVector0(_140944), aVector0(_140942), aDimensionOf0(_140944) = aDimensionOf0(_140942), -(aScalar0(sdtasasdt0(_140944, _140942)))], (692 ^ _122041) ^ [] : [aDimensionOf0(xs) = sz00], (54 ^ _122041) ^ [_123823, _123825] : [-(aScalar0(_123823)), _123825 = _123823, aScalar0(_123825)], (545 ^ _122041) ^ [_138793, _138795] : [-(aScalar0(sdtlbdtrb0(_138795, _138793))), aVector0(_138795), aNaturalNumber0(_138793)], (742 ^ _122041) ^ [] : [-(aScalar0(xG))], (245 ^ _122041) ^ [_129802] : [aScalar0(_129802), -(aScalar0(smndt0(_129802)))], (758 ^ _122041) ^ [] : [-(aScalar0(xS))], (736 ^ _122041) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (100 ^ _122041) ^ [_125379, _125381, _125383, _125385] : [-(sdtlbdtrb0(_125385, _125381) = sdtlbdtrb0(_125383, _125379)), _125385 = _125383, _125381 = _125379], (730 ^ _122041) ^ [] : [-(aScalar0(xD))], (44 ^ _122041) ^ [_123528, _123530] : [-(aNaturalNumber0(_123528)), _123530 = _123528, aNaturalNumber0(_123530)], (347 ^ _122041) ^ [_133321, _133323] : [aScalar0(_133323), aScalar0(_133321), sdtlseqdt0(_133323, _133321), true___, -(true___)], (732 ^ _122041) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (724 ^ _122041) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (668 ^ _122041) ^ [] : [-(aVector0(xs))], (371 ^ _122041) ^ [_133969, _133971] : [aScalar0(_133971), aScalar0(_133969), -(_133971 = _133969), sdtlseqdt0(_133971, _133969), sdtlseqdt0(_133969, _133971)], (152 ^ _122041) ^ [] : [-(aNaturalNumber0(sz00))], (411 ^ _122041) ^ [_135072, _135074, _135076, _135078] : [-(sdtlseqdt0(sdtpldt0(_135078, _135074), sdtpldt0(_135076, _135072))), sdtlseqdt0(_135078, _135076), sdtlseqdt0(_135074, _135072), aScalar0(_135078), aScalar0(_135076), aScalar0(_135074), aScalar0(_135072)], (740 ^ _122041) ^ [] : [-(xF = sdtasdt0(xA, xA))], (644 ^ _122041) ^ [_141833, _141835] : [aVector0(_141835), aVector0(_141833), -(sdtasasdt0(_141835, _141833) = sdtpldt0(sdtasasdt0(sziznziztdt0(_141835), sziznziztdt0(_141833)), sdtasdt0(sdtlbdtrb0(_141835, aDimensionOf0(_141835)), sdtlbdtrb0(_141833, aDimensionOf0(_141833))))), aDimensionOf0(_141835) = aDimensionOf0(_141833), -(aDimensionOf0(_141833) = sz00)], (738 ^ _122041) ^ [] : [-(aScalar0(xF))], (694 ^ _122041) ^ [] : [-(aVector0(xp))], (706 ^ _122041) ^ [] : [-(aVector0(xq))]], input).
% 236.52/229.03  ncf('1',plain,[sdtasdt0(smndt0(xS), xR) = smndt0(xN)],start(770 ^ 0)).
% 236.52/229.03  ncf('1.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(xN)), sdtasdt0(smndt0(xS), xR) = smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)) = smndt0(xN)],extension(10 ^ 1,bind([[_122476, _122478, _122480], [smndt0(xN), smndt0(sdtasdt0(xR, xS)), sdtasdt0(smndt0(xS), xR)]]))).
% 236.52/229.03  ncf('1.1.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(sdtasdt0(xR, xS))), sdtasdt0(smndt0(xS), xR) = smndt0(sdtasdt0(xS, xR)), smndt0(sdtasdt0(xS, xR)) = smndt0(sdtasdt0(xR, xS))],extension(10 ^ 2,bind([[_122476, _122478, _122480], [smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xS, xR)), sdtasdt0(smndt0(xS), xR)]]))).
% 236.52/229.03  ncf('1.1.1.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(sdtasdt0(xS, xR))), sdtasdt0(smndt0(xS), xR) = smndt0(sdtasdt0(xS, xR)), smndt0(sdtasdt0(xS, xR)) = smndt0(sdtasdt0(xS, xR))],extension(10 ^ 3,bind([[_122476, _122478, _122480], [smndt0(sdtasdt0(xS, xR)), smndt0(sdtasdt0(xS, xR)), sdtasdt0(smndt0(xS), xR)]]))).
% 236.52/229.03  ncf('1.1.1.1.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(sdtasdt0(xS, xR))), aScalar0(xS), aScalar0(xR)],extension(325 ^ 4,bind([[_132596, _132598], [xR, xS]]))).
% 236.52/229.03  ncf('1.1.1.1.1.1',plain,[-(aScalar0(xS))],extension(758 ^ 5)).
% 236.52/229.03  ncf('1.1.1.1.1.2',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 236.52/229.03  ncf('1.1.1.1.2',plain,[-(smndt0(sdtasdt0(xS, xR)) = smndt0(sdtasdt0(xS, xR)))],extension(2 ^ 4,bind([[_122165], [smndt0(sdtasdt0(xS, xR))]]))).
% 236.52/229.03  ncf('1.1.1.2',plain,[-(smndt0(sdtasdt0(xS, xR)) = smndt0(sdtasdt0(xR, xS))), sdtasdt0(xS, xR) = sdtasdt0(xR, xS)],extension(136 ^ 3,bind([[_126626, _126628], [sdtasdt0(xR, xS), sdtasdt0(xS, xR)]]))).
% 236.52/229.03  ncf('1.1.1.2.1',plain,[-(sdtasdt0(xS, xR) = sdtasdt0(xR, xS)), aScalar0(xS), aScalar0(xR), aScalar0(sz0z00)],extension(271 ^ 4,bind([[_130759, _130761, _130763], [sz0z00, xR, xS]]))).
% 236.52/229.03  ncf('1.1.1.2.1.1',plain,[-(aScalar0(xS))],extension(758 ^ 5)).
% 236.52/229.03  ncf('1.1.1.2.1.2',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 236.52/229.03  ncf('1.1.1.2.1.3',plain,[-(aScalar0(sz0z00))],extension(223 ^ 5)).
% 236.52/229.03  ncf('1.1.2',plain,[-(smndt0(sdtasdt0(xR, xS)) = smndt0(xN)), sdtasdt0(xR, xS) = xN],extension(136 ^ 2,bind([[_126626, _126628], [xN, sdtasdt0(xR, xS)]]))).
% 236.52/229.03  ncf('1.1.2.1',plain,[-(sdtasdt0(xR, xS) = xN), sdtasdt0(xR, xS) = xN, xN = xN],extension(10 ^ 3,bind([[_122476, _122478, _122480], [xN, xN, sdtasdt0(xR, xS)]]))).
% 236.52/229.03  ncf('1.1.2.1.1',plain,[-(sdtasdt0(xR, xS) = xN), xN = sdtasdt0(xR, xS)],extension(4 ^ 4,bind([[_122272, _122274], [sdtasdt0(xR, xS), xN]]))).
% 236.52/229.03  ncf('1.1.2.1.1.1',plain,[-(xN = sdtasdt0(xR, xS))],extension(764 ^ 5)).
% 236.52/229.03  ncf('1.1.2.1.2',plain,[-(xN = xN)],extension(2 ^ 4,bind([[_122165], [xN]]))).
% 236.52/229.03  %-----------------------------------------------------
% 236.52/229.03  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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