TSTP Solution File: RNG072+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:49:44 EDT 2023
% Result : Theorem 0.33s 1.39s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG072+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n019.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 20:22:27 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.33/1.39
% 0.33/1.39 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.39 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 ncf(matrix, plain, [(782 ^ _114268) ^ [] : [sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)))], (78 ^ _114268) ^ [_116803, _116805] : [_116805 = _116803, -(smndt0(_116805) = smndt0(_116803))], (84 ^ _114268) ^ [_117021, _117023] : [_117023 = _117021, -(szszuzczcdt0(_117023) = szszuzczcdt0(_117021))], (90 ^ _114268) ^ [_117239, _117241] : [_117241 = _117239, -(sziznziztdt0(_117241) = sziznziztdt0(_117239))], (96 ^ _114268) ^ [_117485, _117487, _117489, _117491] : [-(sdtlbdtrb0(_117491, _117487) = sdtlbdtrb0(_117489, _117485)), _117491 = _117489, _117487 = _117485], (106 ^ _114268) ^ [_117816, _117818] : [_117818 = _117816, -(aDimensionOf0(_117818) = aDimensionOf0(_117816))], (112 ^ _114268) ^ [_118062, _118064, _118066, _118068] : [-(sdtasasdt0(_118068, _118064) = sdtasasdt0(_118066, _118062)), _118068 = _118066, _118064 = _118062], (122 ^ _114268) ^ [_118421, _118423, _118425, _118427] : [-(sdtasdt0(_118427, _118423) = sdtasdt0(_118425, _118421)), _118427 = _118425, _118423 = _118421], (132 ^ _114268) ^ [_118760, _118762, _118764, _118766] : [-(sdtpldt0(_118766, _118762) = sdtpldt0(_118764, _118760)), _118766 = _118764, _118762 = _118760], (2 ^ _114268) ^ [_114412] : [-(_114412 = _114412)], (4 ^ _114268) ^ [_114519, _114521] : [_114521 = _114519, -(_114519 = _114521)], (10 ^ _114268) ^ [_114723, _114725, _114727] : [-(_114727 = _114723), _114727 = _114725, _114725 = _114723], (20 ^ _114268) ^ [_115064, _115066, _115068, _115070] : [-(iLess0(_115068, _115064)), iLess0(_115070, _115066), _115070 = _115068, _115066 = _115064], (34 ^ _114268) ^ [_115480, _115482] : [-(aVector0(_115480)), _115482 = _115480, aVector0(_115482)], (44 ^ _114268) ^ [_115775, _115777] : [-(aNaturalNumber0(_115775)), _115777 = _115775, aNaturalNumber0(_115777)], (54 ^ _114268) ^ [_116070, _116072] : [-(aScalar0(_116070)), _116072 = _116070, aScalar0(_116072)], (64 ^ _114268) ^ [_116373, _116375, _116377, _116379] : [-(sdtlseqdt0(_116377, _116373)), sdtlseqdt0(_116379, _116375), _116379 = _116377, _116375 = _116373], (142 ^ _114268) ^ [_119107] : [aNaturalNumber0(_119107), true___, -(true___)], (152 ^ _114268) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _114268) ^ [_119415] : [aNaturalNumber0(_119415), 157 ^ _114268 : [(158 ^ _114268) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_119415)))], (160 ^ _114268) ^ [] : [szszuzczcdt0(_119415) = sz00]]], (162 ^ _114268) ^ [_119683] : [170 ^ _114268 : [(171 ^ _114268) ^ [] : [-(aNaturalNumber0(169 ^ [_119683]))], (173 ^ _114268) ^ [] : [-(_119683 = szszuzczcdt0(169 ^ [_119683]))]], aNaturalNumber0(_119683), -(_119683 = sz00)], (175 ^ _114268) ^ [_120111, _120113] : [aNaturalNumber0(_120113), aNaturalNumber0(_120111), szszuzczcdt0(_120113) = szszuzczcdt0(_120111), -(_120113 = _120111)], (189 ^ _114268) ^ [_120505, _120507] : [aNaturalNumber0(_120507), aNaturalNumber0(_120505), iLess0(_120507, _120505), true___, -(true___)], (207 ^ _114268) ^ [_120951] : [aNaturalNumber0(_120951), -(iLess0(_120951, szszuzczcdt0(_120951)))], (213 ^ _114268) ^ [_121143] : [aScalar0(_121143), true___, -(true___)], (223 ^ _114268) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _114268) ^ [_121465, _121467] : [-(aScalar0(sdtpldt0(_121467, _121465))), aScalar0(_121467), aScalar0(_121465)], (235 ^ _114268) ^ [_121764, _121766] : [-(aScalar0(sdtasdt0(_121766, _121764))), aScalar0(_121766), aScalar0(_121764)], (245 ^ _114268) ^ [_122049] : [aScalar0(_122049), -(aScalar0(smndt0(_122049)))], (251 ^ _114268) ^ [_122239] : [aScalar0(_122239), 254 ^ _114268 : [(255 ^ _114268) ^ [] : [-(sdtpldt0(_122239, sz0z00) = _122239)], (257 ^ _114268) ^ [] : [-(sdtpldt0(sz0z00, _122239) = _122239)], (259 ^ _114268) ^ [] : [-(sdtasdt0(_122239, sz0z00) = sz0z00)], (261 ^ _114268) ^ [] : [-(sdtasdt0(sz0z00, _122239) = sz0z00)], (263 ^ _114268) ^ [] : [-(sdtpldt0(_122239, smndt0(_122239)) = sz0z00)], (265 ^ _114268) ^ [] : [-(sdtpldt0(smndt0(_122239), _122239) = sz0z00)], (267 ^ _114268) ^ [] : [-(smndt0(smndt0(_122239)) = _122239)], (269 ^ _114268) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _114268) ^ [_123006, _123008, _123010] : [282 ^ _114268 : [(283 ^ _114268) ^ [] : [-(sdtpldt0(sdtpldt0(_123010, _123008), _123006) = sdtpldt0(_123010, sdtpldt0(_123008, _123006)))], (285 ^ _114268) ^ [] : [-(sdtpldt0(_123010, _123008) = sdtpldt0(_123008, _123010))], (287 ^ _114268) ^ [] : [-(sdtasdt0(sdtasdt0(_123010, _123008), _123006) = sdtasdt0(_123010, sdtasdt0(_123008, _123006)))], (289 ^ _114268) ^ [] : [-(sdtasdt0(_123010, _123008) = sdtasdt0(_123008, _123010))]], aScalar0(_123010), aScalar0(_123008), aScalar0(_123006)], (291 ^ _114268) ^ [_123717, _123719, _123721] : [302 ^ _114268 : [(303 ^ _114268) ^ [] : [-(sdtasdt0(_123721, sdtpldt0(_123719, _123717)) = sdtpldt0(sdtasdt0(_123721, _123719), sdtasdt0(_123721, _123717)))], (305 ^ _114268) ^ [] : [-(sdtasdt0(sdtpldt0(_123721, _123719), _123717) = sdtpldt0(sdtasdt0(_123721, _123717), sdtasdt0(_123719, _123717)))]], aScalar0(_123721), aScalar0(_123719), aScalar0(_123717)], (307 ^ _114268) ^ [_124278, _124280, _124282, _124284] : [-(sdtasdt0(sdtpldt0(_124284, _124282), sdtpldt0(_124280, _124278)) = sdtpldt0(sdtpldt0(sdtasdt0(_124284, _124280), sdtasdt0(_124284, _124278)), sdtpldt0(sdtasdt0(_124282, _124280), sdtasdt0(_124282, _124278)))), aScalar0(_124284), aScalar0(_124282), aScalar0(_124280), aScalar0(_124278)], (325 ^ _114268) ^ [_124843, _124845] : [332 ^ _114268 : [(333 ^ _114268) ^ [] : [-(sdtasdt0(_124845, smndt0(_124843)) = smndt0(sdtasdt0(_124845, _124843)))], (335 ^ _114268) ^ [] : [-(sdtasdt0(smndt0(_124845), _124843) = smndt0(sdtasdt0(_124845, _124843)))]], aScalar0(_124845), aScalar0(_124843)], (337 ^ _114268) ^ [_125253, _125255] : [-(sdtasdt0(smndt0(_125255), smndt0(_125253)) = sdtasdt0(_125255, _125253)), aScalar0(_125255), aScalar0(_125253)], (347 ^ _114268) ^ [_125568, _125570] : [aScalar0(_125570), aScalar0(_125568), sdtlseqdt0(_125570, _125568), true___, -(true___)], (365 ^ _114268) ^ [_126014] : [aScalar0(_126014), -(sdtlseqdt0(_126014, _126014))], (371 ^ _114268) ^ [_126216, _126218] : [aScalar0(_126218), aScalar0(_126216), -(_126218 = _126216), sdtlseqdt0(_126218, _126216), sdtlseqdt0(_126216, _126218)], (389 ^ _114268) ^ [_126705, _126707, _126709] : [aScalar0(_126709), aScalar0(_126707), aScalar0(_126705), -(sdtlseqdt0(_126709, _126705)), sdtlseqdt0(_126709, _126707), sdtlseqdt0(_126707, _126705)], (411 ^ _114268) ^ [_127319, _127321, _127323, _127325] : [-(sdtlseqdt0(sdtpldt0(_127325, _127321), sdtpldt0(_127323, _127319))), sdtlseqdt0(_127325, _127323), sdtlseqdt0(_127321, _127319), aScalar0(_127325), aScalar0(_127323), aScalar0(_127321), aScalar0(_127319)], (437 ^ _114268) ^ [_128062, _128064, _128066, _128068] : [aScalar0(_128068), aScalar0(_128066), aScalar0(_128064), aScalar0(_128062), -(sdtlseqdt0(sdtasdt0(_128068, _128064), sdtasdt0(_128066, _128062))), sdtlseqdt0(_128068, _128066), sdtlseqdt0(sz0z00, _128064), sdtlseqdt0(_128064, _128062)], (467 ^ _114268) ^ [_128876, _128878] : [aScalar0(_128878), aScalar0(_128876), -(sdtlseqdt0(_128878, _128876)), -(sdtlseqdt0(_128876, _128878))], (481 ^ _114268) ^ [_129263, _129265] : [aScalar0(_129265), aScalar0(_129263), 496 ^ _114268 : [(497 ^ _114268) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_129265, _129263)))], (499 ^ _114268) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_129265, _129263)))]], sdtlseqdt0(sz0z00, _129265), sdtlseqdt0(sz0z00, _129263)], (501 ^ _114268) ^ [_129811] : [aScalar0(_129811), -(sdtlseqdt0(sz0z00, sdtasdt0(_129811, _129811)))], (507 ^ _114268) ^ [_130019, _130021] : [aScalar0(_130021), aScalar0(_130019), -(_130021 = _130019), sdtlseqdt0(sz0z00, _130021), sdtlseqdt0(sz0z00, _130019), sdtasdt0(_130021, _130021) = sdtasdt0(_130019, _130019)], (529 ^ _114268) ^ [_130581] : [aVector0(_130581), true___, -(true___)], (539 ^ _114268) ^ [_130836] : [aVector0(_130836), -(aNaturalNumber0(aDimensionOf0(_130836)))], (545 ^ _114268) ^ [_131040, _131042] : [-(aScalar0(sdtlbdtrb0(_131042, _131040))), aVector0(_131042), aNaturalNumber0(_131040)], (555 ^ _114268) ^ [_131325] : [aVector0(_131325), -(aDimensionOf0(_131325) = sz00), 562 ^ _114268 : [(563 ^ _114268) ^ [_131608] : [_131608 = sziznziztdt0(_131325), 566 ^ _114268 : [(567 ^ _114268) ^ [] : [-(aVector0(_131608))], (569 ^ _114268) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_131608)) = aDimensionOf0(_131325))], (571 ^ _114268) ^ [_131910] : [aNaturalNumber0(_131910), -(sdtlbdtrb0(_131608, _131910) = sdtlbdtrb0(_131325, _131910))]]], (577 ^ _114268) ^ [_132101] : [-(_132101 = sziznziztdt0(_131325)), aVector0(_132101), szszuzczcdt0(aDimensionOf0(_132101)) = aDimensionOf0(_131325), 587 ^ _114268 : [(588 ^ _114268) ^ [] : [-(aNaturalNumber0(586 ^ [_131325, _132101]))], (590 ^ _114268) ^ [] : [sdtlbdtrb0(_132101, 586 ^ [_131325, _132101]) = sdtlbdtrb0(_131325, 586 ^ [_131325, _132101])]]]]], (594 ^ _114268) ^ [_132683, _132685] : [aVector0(_132685), aVector0(_132683), -(aDimensionOf0(sziznziztdt0(_132685)) = aDimensionOf0(sziznziztdt0(_132683))), aDimensionOf0(_132685) = aDimensionOf0(_132683), -(aDimensionOf0(_132683) = sz00)], (612 ^ _114268) ^ [_133189, _133191] : [aVector0(_133191), aVector0(_133189), aDimensionOf0(_133191) = aDimensionOf0(_133189), -(aScalar0(sdtasasdt0(_133191, _133189)))], (626 ^ _114268) ^ [_133587, _133589] : [aVector0(_133589), aVector0(_133587), -(sdtasasdt0(_133589, _133587) = sz0z00), aDimensionOf0(_133589) = aDimensionOf0(_133587), aDimensionOf0(_133587) = sz00], (644 ^ _114268) ^ [_134080, _134082] : [aVector0(_134082), aVector0(_134080), -(sdtasasdt0(_134082, _134080) = sdtpldt0(sdtasasdt0(sziznziztdt0(_134082), sziznziztdt0(_134080)), sdtasdt0(sdtlbdtrb0(_134082, aDimensionOf0(_134082)), sdtlbdtrb0(_134080, aDimensionOf0(_134080))))), aDimensionOf0(_134082) = aDimensionOf0(_134080), -(aDimensionOf0(_134080) = sz00)], (662 ^ _114268) ^ [_134608] : [aVector0(_134608), -(sdtlseqdt0(sz0z00, sdtasasdt0(_134608, _134608)))], (668 ^ _114268) ^ [] : [-(aVector0(xs))], (670 ^ _114268) ^ [] : [-(aVector0(xt))], (690 ^ _114268) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _114268) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _114268) ^ [] : [-(aVector0(xp))], (696 ^ _114268) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _114268) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _114268) ^ [_135664] : [aNaturalNumber0(_135664), -(sdtlbdtrb0(xp, _135664) = sdtlbdtrb0(xs, _135664))], (718 ^ _114268) ^ [] : [-(aScalar0(xA))], (720 ^ _114268) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _114268) ^ [] : [-(aScalar0(xB))], (724 ^ _114268) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _114268) ^ [] : [-(aScalar0(xC))], (728 ^ _114268) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _114268) ^ [] : [-(aScalar0(xD))], (732 ^ _114268) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _114268) ^ [] : [-(aScalar0(xE))], (736 ^ _114268) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _114268) ^ [] : [-(aScalar0(xF))], (740 ^ _114268) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _114268) ^ [] : [-(aScalar0(xG))], (744 ^ _114268) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _114268) ^ [] : [-(aScalar0(xH))], (748 ^ _114268) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _114268) ^ [] : [-(aScalar0(xR))], (752 ^ _114268) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _114268) ^ [] : [-(aScalar0(xP))], (756 ^ _114268) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _114268) ^ [] : [-(aScalar0(xS))], (760 ^ _114268) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _114268) ^ [] : [-(aScalar0(xN))], (764 ^ _114268) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _114268) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _114268) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (770 ^ _114268) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (772 ^ _114268) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], (774 ^ _114268) ^ [] : [sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))], (776 ^ _114268) ^ [] : [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], (778 ^ _114268) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], (780 ^ _114268) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], (706 ^ _114268) ^ [] : [-(aVector0(xq))], (708 ^ _114268) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _114268) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _114268) ^ [_136029] : [aNaturalNumber0(_136029), -(sdtlbdtrb0(xq, _136029) = sdtlbdtrb0(xt, _136029))], (672 ^ _114268) ^ [_134924, _134926] : [aVector0(_134926), aVector0(_134924), aDimensionOf0(_134926) = aDimensionOf0(_134924), iLess0(aDimensionOf0(_134926), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_134926, _134924), sdtasasdt0(_134926, _134924)), sdtasdt0(sdtasasdt0(_134926, _134926), sdtasasdt0(_134924, _134924))))]], input).
% 0.33/1.39 ncf('1',plain,[sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)))],start(782 ^ 0)).
% 0.33/1.39 ncf('1.1',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)), sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP))],extension(437 ^ 1,bind([[_128062, _128064, _128066, _128068], [sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.33/1.39 ncf('1.1.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 2,bind([[_121465, _121467], [xS, xR]]))).
% 0.33/1.39 ncf('1.1.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 3)).
% 0.33/1.39 ncf('1.1.1.2',plain,[-(aScalar0(xS))],extension(758 ^ 3)).
% 0.33/1.39 ncf('1.1.2',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 2,bind([[_121465, _121467], [xP, xP]]))).
% 0.33/1.39 ncf('1.1.2.1',plain,[-(aScalar0(xP))],extension(754 ^ 3)).
% 0.33/1.39 ncf('1.1.2.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.33/1.39 ncf('1.1.3',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.33/1.39 ncf('1.1.4',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.33/1.39 ncf('1.1.5',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), -(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))],extension(467 ^ 2,bind([[_128876, _128878], [sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.33/1.39 ncf('1.1.5.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.33/1.39 ncf('1.1.5.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.33/1.39 ncf('1.1.5.3',plain,[sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))],extension(774 ^ 3)).
% 0.33/1.39 ncf('1.1.6',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(778 ^ 2)).
% 0.33/1.39 ncf('1.1.7',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.33/1.39 %-----------------------------------------------------
% 0.33/1.39 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------