TSTP Solution File: RNG067+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG067+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n004.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 11:49:43 EDT 2023
% Result : Theorem 0.51s 1.40s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG067+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 20:26:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.51/1.40
% 0.51/1.40 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.51/1.40 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/1.40 %-----------------------------------------------------
% 0.51/1.40 ncf(matrix, plain, [(772 ^ _119101) ^ [] : [sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN))], (78 ^ _119101) ^ [_121636, _121638] : [_121638 = _121636, -(smndt0(_121638) = smndt0(_121636))], (84 ^ _119101) ^ [_121854, _121856] : [_121856 = _121854, -(szszuzczcdt0(_121856) = szszuzczcdt0(_121854))], (90 ^ _119101) ^ [_122072, _122074] : [_122074 = _122072, -(sziznziztdt0(_122074) = sziznziztdt0(_122072))], (96 ^ _119101) ^ [_122318, _122320, _122322, _122324] : [-(sdtlbdtrb0(_122324, _122320) = sdtlbdtrb0(_122322, _122318)), _122324 = _122322, _122320 = _122318], (106 ^ _119101) ^ [_122649, _122651] : [_122651 = _122649, -(aDimensionOf0(_122651) = aDimensionOf0(_122649))], (112 ^ _119101) ^ [_122895, _122897, _122899, _122901] : [-(sdtasasdt0(_122901, _122897) = sdtasasdt0(_122899, _122895)), _122901 = _122899, _122897 = _122895], (122 ^ _119101) ^ [_123254, _123256, _123258, _123260] : [-(sdtpldt0(_123260, _123256) = sdtpldt0(_123258, _123254)), _123260 = _123258, _123256 = _123254], (132 ^ _119101) ^ [_123593, _123595, _123597, _123599] : [-(sdtasdt0(_123599, _123595) = sdtasdt0(_123597, _123593)), _123599 = _123597, _123595 = _123593], (2 ^ _119101) ^ [_119245] : [-(_119245 = _119245)], (4 ^ _119101) ^ [_119352, _119354] : [_119354 = _119352, -(_119352 = _119354)], (10 ^ _119101) ^ [_119556, _119558, _119560] : [-(_119560 = _119556), _119560 = _119558, _119558 = _119556], (20 ^ _119101) ^ [_119897, _119899, _119901, _119903] : [-(iLess0(_119901, _119897)), iLess0(_119903, _119899), _119903 = _119901, _119899 = _119897], (34 ^ _119101) ^ [_120313, _120315] : [-(aVector0(_120313)), _120315 = _120313, aVector0(_120315)], (44 ^ _119101) ^ [_120608, _120610] : [-(aNaturalNumber0(_120608)), _120610 = _120608, aNaturalNumber0(_120610)], (54 ^ _119101) ^ [_120903, _120905] : [-(aScalar0(_120903)), _120905 = _120903, aScalar0(_120905)], (64 ^ _119101) ^ [_121206, _121208, _121210, _121212] : [-(sdtlseqdt0(_121210, _121206)), sdtlseqdt0(_121212, _121208), _121212 = _121210, _121208 = _121206], (142 ^ _119101) ^ [_123940] : [aNaturalNumber0(_123940), true___, -(true___)], (152 ^ _119101) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _119101) ^ [_124248] : [aNaturalNumber0(_124248), 157 ^ _119101 : [(158 ^ _119101) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_124248)))], (160 ^ _119101) ^ [] : [szszuzczcdt0(_124248) = sz00]]], (162 ^ _119101) ^ [_124516] : [170 ^ _119101 : [(171 ^ _119101) ^ [] : [-(aNaturalNumber0(169 ^ [_124516]))], (173 ^ _119101) ^ [] : [-(_124516 = szszuzczcdt0(169 ^ [_124516]))]], aNaturalNumber0(_124516), -(_124516 = sz00)], (175 ^ _119101) ^ [_124944, _124946] : [aNaturalNumber0(_124946), aNaturalNumber0(_124944), szszuzczcdt0(_124946) = szszuzczcdt0(_124944), -(_124946 = _124944)], (189 ^ _119101) ^ [_125338, _125340] : [aNaturalNumber0(_125340), aNaturalNumber0(_125338), iLess0(_125340, _125338), true___, -(true___)], (207 ^ _119101) ^ [_125784] : [aNaturalNumber0(_125784), -(iLess0(_125784, szszuzczcdt0(_125784)))], (213 ^ _119101) ^ [_125976] : [aScalar0(_125976), true___, -(true___)], (223 ^ _119101) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _119101) ^ [_126298, _126300] : [-(aScalar0(sdtpldt0(_126300, _126298))), aScalar0(_126300), aScalar0(_126298)], (235 ^ _119101) ^ [_126597, _126599] : [-(aScalar0(sdtasdt0(_126599, _126597))), aScalar0(_126599), aScalar0(_126597)], (245 ^ _119101) ^ [_126882] : [aScalar0(_126882), -(aScalar0(smndt0(_126882)))], (251 ^ _119101) ^ [_127072] : [aScalar0(_127072), 254 ^ _119101 : [(255 ^ _119101) ^ [] : [-(sdtpldt0(_127072, sz0z00) = _127072)], (257 ^ _119101) ^ [] : [-(sdtpldt0(sz0z00, _127072) = _127072)], (259 ^ _119101) ^ [] : [-(sdtasdt0(_127072, sz0z00) = sz0z00)], (261 ^ _119101) ^ [] : [-(sdtasdt0(sz0z00, _127072) = sz0z00)], (263 ^ _119101) ^ [] : [-(sdtpldt0(_127072, smndt0(_127072)) = sz0z00)], (265 ^ _119101) ^ [] : [-(sdtpldt0(smndt0(_127072), _127072) = sz0z00)], (267 ^ _119101) ^ [] : [-(smndt0(smndt0(_127072)) = _127072)], (269 ^ _119101) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _119101) ^ [_127839, _127841, _127843] : [282 ^ _119101 : [(283 ^ _119101) ^ [] : [-(sdtpldt0(sdtpldt0(_127843, _127841), _127839) = sdtpldt0(_127843, sdtpldt0(_127841, _127839)))], (285 ^ _119101) ^ [] : [-(sdtpldt0(_127843, _127841) = sdtpldt0(_127841, _127843))], (287 ^ _119101) ^ [] : [-(sdtasdt0(sdtasdt0(_127843, _127841), _127839) = sdtasdt0(_127843, sdtasdt0(_127841, _127839)))], (289 ^ _119101) ^ [] : [-(sdtasdt0(_127843, _127841) = sdtasdt0(_127841, _127843))]], aScalar0(_127843), aScalar0(_127841), aScalar0(_127839)], (291 ^ _119101) ^ [_128550, _128552, _128554] : [302 ^ _119101 : [(303 ^ _119101) ^ [] : [-(sdtasdt0(_128554, sdtpldt0(_128552, _128550)) = sdtpldt0(sdtasdt0(_128554, _128552), sdtasdt0(_128554, _128550)))], (305 ^ _119101) ^ [] : [-(sdtasdt0(sdtpldt0(_128554, _128552), _128550) = sdtpldt0(sdtasdt0(_128554, _128550), sdtasdt0(_128552, _128550)))]], aScalar0(_128554), aScalar0(_128552), aScalar0(_128550)], (307 ^ _119101) ^ [_129111, _129113, _129115, _129117] : [-(sdtasdt0(sdtpldt0(_129117, _129115), sdtpldt0(_129113, _129111)) = sdtpldt0(sdtpldt0(sdtasdt0(_129117, _129113), sdtasdt0(_129117, _129111)), sdtpldt0(sdtasdt0(_129115, _129113), sdtasdt0(_129115, _129111)))), aScalar0(_129117), aScalar0(_129115), aScalar0(_129113), aScalar0(_129111)], (325 ^ _119101) ^ [_129676, _129678] : [332 ^ _119101 : [(333 ^ _119101) ^ [] : [-(sdtasdt0(_129678, smndt0(_129676)) = smndt0(sdtasdt0(_129678, _129676)))], (335 ^ _119101) ^ [] : [-(sdtasdt0(smndt0(_129678), _129676) = smndt0(sdtasdt0(_129678, _129676)))]], aScalar0(_129678), aScalar0(_129676)], (337 ^ _119101) ^ [_130086, _130088] : [-(sdtasdt0(smndt0(_130088), smndt0(_130086)) = sdtasdt0(_130088, _130086)), aScalar0(_130088), aScalar0(_130086)], (347 ^ _119101) ^ [_130401, _130403] : [aScalar0(_130403), aScalar0(_130401), sdtlseqdt0(_130403, _130401), true___, -(true___)], (365 ^ _119101) ^ [_130847] : [aScalar0(_130847), -(sdtlseqdt0(_130847, _130847))], (371 ^ _119101) ^ [_131049, _131051] : [aScalar0(_131051), aScalar0(_131049), -(_131051 = _131049), sdtlseqdt0(_131051, _131049), sdtlseqdt0(_131049, _131051)], (389 ^ _119101) ^ [_131538, _131540, _131542] : [aScalar0(_131542), aScalar0(_131540), aScalar0(_131538), -(sdtlseqdt0(_131542, _131538)), sdtlseqdt0(_131542, _131540), sdtlseqdt0(_131540, _131538)], (411 ^ _119101) ^ [_132152, _132154, _132156, _132158] : [-(sdtlseqdt0(sdtpldt0(_132158, _132154), sdtpldt0(_132156, _132152))), sdtlseqdt0(_132158, _132156), sdtlseqdt0(_132154, _132152), aScalar0(_132158), aScalar0(_132156), aScalar0(_132154), aScalar0(_132152)], (437 ^ _119101) ^ [_132895, _132897, _132899, _132901] : [aScalar0(_132901), aScalar0(_132899), aScalar0(_132897), aScalar0(_132895), -(sdtlseqdt0(sdtasdt0(_132901, _132897), sdtasdt0(_132899, _132895))), sdtlseqdt0(_132901, _132899), sdtlseqdt0(sz0z00, _132897), sdtlseqdt0(_132897, _132895)], (467 ^ _119101) ^ [_133709, _133711] : [aScalar0(_133711), aScalar0(_133709), -(sdtlseqdt0(_133711, _133709)), -(sdtlseqdt0(_133709, _133711))], (481 ^ _119101) ^ [_134096, _134098] : [aScalar0(_134098), aScalar0(_134096), 496 ^ _119101 : [(497 ^ _119101) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_134098, _134096)))], (499 ^ _119101) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_134098, _134096)))]], sdtlseqdt0(sz0z00, _134098), sdtlseqdt0(sz0z00, _134096)], (501 ^ _119101) ^ [_134644] : [aScalar0(_134644), -(sdtlseqdt0(sz0z00, sdtasdt0(_134644, _134644)))], (507 ^ _119101) ^ [_134852, _134854] : [aScalar0(_134854), aScalar0(_134852), -(_134854 = _134852), sdtlseqdt0(sz0z00, _134854), sdtlseqdt0(sz0z00, _134852), sdtasdt0(_134854, _134854) = sdtasdt0(_134852, _134852)], (529 ^ _119101) ^ [_135414] : [aVector0(_135414), true___, -(true___)], (539 ^ _119101) ^ [_135669] : [aVector0(_135669), -(aNaturalNumber0(aDimensionOf0(_135669)))], (545 ^ _119101) ^ [_135873, _135875] : [-(aScalar0(sdtlbdtrb0(_135875, _135873))), aVector0(_135875), aNaturalNumber0(_135873)], (555 ^ _119101) ^ [_136158] : [aVector0(_136158), -(aDimensionOf0(_136158) = sz00), 562 ^ _119101 : [(563 ^ _119101) ^ [_136441] : [_136441 = sziznziztdt0(_136158), 566 ^ _119101 : [(567 ^ _119101) ^ [] : [-(aVector0(_136441))], (569 ^ _119101) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_136441)) = aDimensionOf0(_136158))], (571 ^ _119101) ^ [_136743] : [aNaturalNumber0(_136743), -(sdtlbdtrb0(_136441, _136743) = sdtlbdtrb0(_136158, _136743))]]], (577 ^ _119101) ^ [_136934] : [-(_136934 = sziznziztdt0(_136158)), aVector0(_136934), szszuzczcdt0(aDimensionOf0(_136934)) = aDimensionOf0(_136158), 587 ^ _119101 : [(588 ^ _119101) ^ [] : [-(aNaturalNumber0(586 ^ [_136158, _136934]))], (590 ^ _119101) ^ [] : [sdtlbdtrb0(_136934, 586 ^ [_136158, _136934]) = sdtlbdtrb0(_136158, 586 ^ [_136158, _136934])]]]]], (594 ^ _119101) ^ [_137516, _137518] : [aVector0(_137518), aVector0(_137516), -(aDimensionOf0(sziznziztdt0(_137518)) = aDimensionOf0(sziznziztdt0(_137516))), aDimensionOf0(_137518) = aDimensionOf0(_137516), -(aDimensionOf0(_137516) = sz00)], (612 ^ _119101) ^ [_138022, _138024] : [aVector0(_138024), aVector0(_138022), aDimensionOf0(_138024) = aDimensionOf0(_138022), -(aScalar0(sdtasasdt0(_138024, _138022)))], (626 ^ _119101) ^ [_138420, _138422] : [aVector0(_138422), aVector0(_138420), -(sdtasasdt0(_138422, _138420) = sz0z00), aDimensionOf0(_138422) = aDimensionOf0(_138420), aDimensionOf0(_138420) = sz00], (644 ^ _119101) ^ [_138913, _138915] : [aVector0(_138915), aVector0(_138913), -(sdtasasdt0(_138915, _138913) = sdtpldt0(sdtasasdt0(sziznziztdt0(_138915), sziznziztdt0(_138913)), sdtasdt0(sdtlbdtrb0(_138915, aDimensionOf0(_138915)), sdtlbdtrb0(_138913, aDimensionOf0(_138913))))), aDimensionOf0(_138915) = aDimensionOf0(_138913), -(aDimensionOf0(_138913) = sz00)], (662 ^ _119101) ^ [_139441] : [aVector0(_139441), -(sdtlseqdt0(sz0z00, sdtasasdt0(_139441, _139441)))], (668 ^ _119101) ^ [] : [-(aVector0(xs))], (670 ^ _119101) ^ [] : [-(aVector0(xt))], (690 ^ _119101) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _119101) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _119101) ^ [] : [-(aVector0(xp))], (696 ^ _119101) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _119101) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _119101) ^ [_140497] : [aNaturalNumber0(_140497), -(sdtlbdtrb0(xp, _140497) = sdtlbdtrb0(xs, _140497))], (718 ^ _119101) ^ [] : [-(aScalar0(xA))], (720 ^ _119101) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _119101) ^ [] : [-(aScalar0(xB))], (724 ^ _119101) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _119101) ^ [] : [-(aScalar0(xC))], (728 ^ _119101) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _119101) ^ [] : [-(aScalar0(xD))], (732 ^ _119101) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _119101) ^ [] : [-(aScalar0(xE))], (736 ^ _119101) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _119101) ^ [] : [-(aScalar0(xF))], (740 ^ _119101) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _119101) ^ [] : [-(aScalar0(xG))], (744 ^ _119101) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _119101) ^ [] : [-(aScalar0(xH))], (748 ^ _119101) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _119101) ^ [] : [-(aScalar0(xR))], (752 ^ _119101) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _119101) ^ [] : [-(aScalar0(xP))], (756 ^ _119101) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _119101) ^ [] : [-(aScalar0(xS))], (760 ^ _119101) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _119101) ^ [] : [-(aScalar0(xN))], (764 ^ _119101) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _119101) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _119101) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (770 ^ _119101) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (706 ^ _119101) ^ [] : [-(aVector0(xq))], (708 ^ _119101) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _119101) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _119101) ^ [_140862] : [aNaturalNumber0(_140862), -(sdtlbdtrb0(xq, _140862) = sdtlbdtrb0(xt, _140862))], (672 ^ _119101) ^ [_139757, _139759] : [aVector0(_139759), aVector0(_139757), aDimensionOf0(_139759) = aDimensionOf0(_139757), iLess0(aDimensionOf0(_139759), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_139759, _139757), sdtasasdt0(_139759, _139757)), sdtasdt0(sdtasasdt0(_139759, _139759), sdtasasdt0(_139757, _139757))))]], input).
% 0.51/1.40 ncf('1',plain,[sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN))],start(772 ^ 0)).
% 0.51/1.40 ncf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN)), sdtlseqdt0(sdtasdt0(xP, xP), xN), aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP))), aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN)), aScalar0(sdtasdt0(xP, xP)), aScalar0(xN)],extension(411 ^ 1,bind([[_132152, _132154, _132156, _132158], [xN, sdtasdt0(xP, xP), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP))]]))).
% 0.51/1.40 ncf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN))), sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), sdtlseqdt0(sdtasdt0(xP, xP), xN), aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), aScalar0(sdtasdt0(xP, xP)), aScalar0(xN)],extension(411 ^ 2,bind([[_132152, _132154, _132156, _132158], [xN, sdtasdt0(xP, xP), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))]]))).
% 0.51/1.40 ncf('1.1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))],extension(770 ^ 3)).
% 0.51/1.40 ncf('1.1.1.2',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(768 ^ 3)).
% 0.51/1.40 ncf('1.1.1.3',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))), aScalar0(sdtasdt0(xP, xP)), aScalar0(sdtasdt0(xP, xP))],extension(225 ^ 3,bind([[_126298, _126300], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.51/1.40 ncf('1.1.1.3.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 4,bind([[_126597, _126599], [xP, xP]]))).
% 0.51/1.40 ncf('1.1.1.3.1.1',plain,[-(aScalar0(xP))],extension(754 ^ 5)).
% 0.51/1.40 ncf('1.1.1.3.1.2',plain,[-(aScalar0(xP))],lemmata('[3, 1, 1, 1].x')).
% 0.51/1.40 ncf('1.1.1.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('[1, 1, 1].x')).
% 0.51/1.40 ncf('1.1.1.4',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)))), aScalar0(sdtasdt0(xR, xR)), aScalar0(sdtasdt0(xS, xS))],extension(225 ^ 3,bind([[_126298, _126300], [sdtasdt0(xS, xS), sdtasdt0(xR, xR)]]))).
% 0.51/1.40 ncf('1.1.1.4.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(235 ^ 4,bind([[_126597, _126599], [xR, xR]]))).
% 0.51/1.40 ncf('1.1.1.4.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 0.51/1.40 ncf('1.1.1.4.1.2',plain,[-(aScalar0(xR))],lemmata('[4, 1, 1, 1].x')).
% 0.51/1.40 ncf('1.1.1.4.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(235 ^ 4,bind([[_126597, _126599], [xS, xS]]))).
% 0.51/1.40 ncf('1.1.1.4.2.1',plain,[-(aScalar0(xS))],extension(758 ^ 5)).
% 0.51/1.40 ncf('1.1.1.4.2.2',plain,[-(aScalar0(xS))],lemmata('[4, 1, 1, 1].x')).
% 0.51/1.40 ncf('1.1.1.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 3,bind([[_126597, _126599], [xP, xP]]))).
% 0.51/1.40 ncf('1.1.1.5.1',plain,[-(aScalar0(xP))],extension(754 ^ 4)).
% 0.51/1.40 ncf('1.1.1.5.2',plain,[-(aScalar0(xP))],lemmata('[1, 1, 1].x')).
% 0.51/1.40 ncf('1.1.1.6',plain,[-(aScalar0(xN))],extension(762 ^ 3)).
% 0.51/1.40 ncf('1.1.2',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(768 ^ 2)).
% 0.51/1.40 ncf('1.1.3',plain,[-(aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)))), aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), aScalar0(sdtasdt0(xP, xP))],extension(225 ^ 2,bind([[_126298, _126300], [sdtasdt0(xP, xP), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))]]))).
% 0.51/1.40 ncf('1.1.3.1',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))), aScalar0(sdtasdt0(xP, xP)), aScalar0(sdtasdt0(xP, xP))],extension(225 ^ 3,bind([[_126298, _126300], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.51/1.40 ncf('1.1.3.1.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 4,bind([[_126597, _126599], [xP, xP]]))).
% 0.51/1.40 ncf('1.1.3.1.1.1',plain,[-(aScalar0(xP))],extension(754 ^ 5)).
% 0.51/1.40 ncf('1.1.3.1.1.2',plain,[-(aScalar0(xP))],lemmata('[1, 3, 1, 1].x')).
% 0.51/1.40 ncf('1.1.3.1.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('[3, 1, 1].x')).
% 0.51/1.40 ncf('1.1.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 3,bind([[_126597, _126599], [xP, xP]]))).
% 0.51/1.40 ncf('1.1.3.2.1',plain,[-(aScalar0(xP))],extension(754 ^ 4)).
% 0.51/1.40 ncf('1.1.3.2.2',plain,[-(aScalar0(xP))],lemmata('[3, 1, 1].x')).
% 0.51/1.40 ncf('1.1.4',plain,[-(aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN))), aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), aScalar0(xN)],extension(225 ^ 2,bind([[_126298, _126300], [xN, sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))]]))).
% 0.51/1.40 ncf('1.1.4.1',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)))), aScalar0(sdtasdt0(xR, xR)), aScalar0(sdtasdt0(xS, xS))],extension(225 ^ 3,bind([[_126298, _126300], [sdtasdt0(xS, xS), sdtasdt0(xR, xR)]]))).
% 0.51/1.40 ncf('1.1.4.1.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(235 ^ 4,bind([[_126597, _126599], [xR, xR]]))).
% 0.51/1.40 ncf('1.1.4.1.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 0.51/1.40 ncf('1.1.4.1.1.2',plain,[-(aScalar0(xR))],lemmata('[1, 4, 1, 1].x')).
% 0.51/1.40 ncf('1.1.4.1.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(235 ^ 4,bind([[_126597, _126599], [xS, xS]]))).
% 0.51/1.40 ncf('1.1.4.1.2.1',plain,[-(aScalar0(xS))],extension(758 ^ 5)).
% 0.51/1.40 ncf('1.1.4.1.2.2',plain,[-(aScalar0(xS))],lemmata('[1, 4, 1, 1].x')).
% 0.51/1.40 ncf('1.1.4.2',plain,[-(aScalar0(xN))],extension(762 ^ 3)).
% 0.51/1.40 ncf('1.1.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 2,bind([[_126597, _126599], [xP, xP]]))).
% 0.51/1.40 ncf('1.1.5.1',plain,[-(aScalar0(xP))],extension(754 ^ 3)).
% 0.51/1.40 ncf('1.1.5.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.51/1.40 ncf('1.1.6',plain,[-(aScalar0(xN))],extension(762 ^ 2)).
% 0.51/1.40 %-----------------------------------------------------
% 0.51/1.40 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------