TSTP Solution File: RNG073+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n013.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 11:49:45 EDT 2023
% Result : Theorem 0.37s 1.37s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG073+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n013.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 20:18:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.37/1.37
% 0.37/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.37/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 ncf(matrix, plain, [(768 ^ _113436) ^ [] : [sdtpldt0(xR, xS) = sdtpldt0(xP, xP)], (78 ^ _113436) ^ [_115971, _115973] : [_115973 = _115971, -(smndt0(_115973) = smndt0(_115971))], (84 ^ _113436) ^ [_116189, _116191] : [_116191 = _116189, -(szszuzczcdt0(_116191) = szszuzczcdt0(_116189))], (90 ^ _113436) ^ [_116407, _116409] : [_116409 = _116407, -(sziznziztdt0(_116409) = sziznziztdt0(_116407))], (96 ^ _113436) ^ [_116653, _116655, _116657, _116659] : [-(sdtlbdtrb0(_116659, _116655) = sdtlbdtrb0(_116657, _116653)), _116659 = _116657, _116655 = _116653], (106 ^ _113436) ^ [_116984, _116986] : [_116986 = _116984, -(aDimensionOf0(_116986) = aDimensionOf0(_116984))], (112 ^ _113436) ^ [_117230, _117232, _117234, _117236] : [-(sdtasasdt0(_117236, _117232) = sdtasasdt0(_117234, _117230)), _117236 = _117234, _117232 = _117230], (122 ^ _113436) ^ [_117589, _117591, _117593, _117595] : [-(sdtasdt0(_117595, _117591) = sdtasdt0(_117593, _117589)), _117595 = _117593, _117591 = _117589], (132 ^ _113436) ^ [_117928, _117930, _117932, _117934] : [-(sdtpldt0(_117934, _117930) = sdtpldt0(_117932, _117928)), _117934 = _117932, _117930 = _117928], (2 ^ _113436) ^ [_113580] : [-(_113580 = _113580)], (4 ^ _113436) ^ [_113687, _113689] : [_113689 = _113687, -(_113687 = _113689)], (10 ^ _113436) ^ [_113891, _113893, _113895] : [-(_113895 = _113891), _113895 = _113893, _113893 = _113891], (20 ^ _113436) ^ [_114204, _114206] : [-(aNaturalNumber0(_114204)), _114206 = _114204, aNaturalNumber0(_114206)], (30 ^ _113436) ^ [_114527, _114529, _114531, _114533] : [-(iLess0(_114531, _114527)), iLess0(_114533, _114529), _114533 = _114531, _114529 = _114527], (44 ^ _113436) ^ [_114943, _114945] : [-(aVector0(_114943)), _114945 = _114943, aVector0(_114945)], (54 ^ _113436) ^ [_115238, _115240] : [-(aScalar0(_115238)), _115240 = _115238, aScalar0(_115240)], (64 ^ _113436) ^ [_115541, _115543, _115545, _115547] : [-(sdtlseqdt0(_115545, _115541)), sdtlseqdt0(_115547, _115543), _115547 = _115545, _115543 = _115541], (142 ^ _113436) ^ [_118275] : [aNaturalNumber0(_118275), true___, -(true___)], (152 ^ _113436) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _113436) ^ [_118583] : [aNaturalNumber0(_118583), 157 ^ _113436 : [(158 ^ _113436) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_118583)))], (160 ^ _113436) ^ [] : [szszuzczcdt0(_118583) = sz00]]], (162 ^ _113436) ^ [_118851] : [170 ^ _113436 : [(171 ^ _113436) ^ [] : [-(aNaturalNumber0(169 ^ [_118851]))], (173 ^ _113436) ^ [] : [-(_118851 = szszuzczcdt0(169 ^ [_118851]))]], aNaturalNumber0(_118851), -(_118851 = sz00)], (175 ^ _113436) ^ [_119279, _119281] : [aNaturalNumber0(_119281), aNaturalNumber0(_119279), szszuzczcdt0(_119281) = szszuzczcdt0(_119279), -(_119281 = _119279)], (189 ^ _113436) ^ [_119673, _119675] : [aNaturalNumber0(_119675), aNaturalNumber0(_119673), iLess0(_119675, _119673), true___, -(true___)], (207 ^ _113436) ^ [_120119] : [aNaturalNumber0(_120119), -(iLess0(_120119, szszuzczcdt0(_120119)))], (213 ^ _113436) ^ [_120311] : [aScalar0(_120311), true___, -(true___)], (223 ^ _113436) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _113436) ^ [_120633, _120635] : [-(aScalar0(sdtpldt0(_120635, _120633))), aScalar0(_120635), aScalar0(_120633)], (235 ^ _113436) ^ [_120932, _120934] : [-(aScalar0(sdtasdt0(_120934, _120932))), aScalar0(_120934), aScalar0(_120932)], (245 ^ _113436) ^ [_121217] : [aScalar0(_121217), -(aScalar0(smndt0(_121217)))], (251 ^ _113436) ^ [_121407] : [aScalar0(_121407), 254 ^ _113436 : [(255 ^ _113436) ^ [] : [-(sdtpldt0(_121407, sz0z00) = _121407)], (257 ^ _113436) ^ [] : [-(sdtpldt0(sz0z00, _121407) = _121407)], (259 ^ _113436) ^ [] : [-(sdtasdt0(_121407, sz0z00) = sz0z00)], (261 ^ _113436) ^ [] : [-(sdtasdt0(sz0z00, _121407) = sz0z00)], (263 ^ _113436) ^ [] : [-(sdtpldt0(_121407, smndt0(_121407)) = sz0z00)], (265 ^ _113436) ^ [] : [-(sdtpldt0(smndt0(_121407), _121407) = sz0z00)], (267 ^ _113436) ^ [] : [-(smndt0(smndt0(_121407)) = _121407)], (269 ^ _113436) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _113436) ^ [_122174, _122176, _122178] : [282 ^ _113436 : [(283 ^ _113436) ^ [] : [-(sdtpldt0(sdtpldt0(_122178, _122176), _122174) = sdtpldt0(_122178, sdtpldt0(_122176, _122174)))], (285 ^ _113436) ^ [] : [-(sdtpldt0(_122178, _122176) = sdtpldt0(_122176, _122178))], (287 ^ _113436) ^ [] : [-(sdtasdt0(sdtasdt0(_122178, _122176), _122174) = sdtasdt0(_122178, sdtasdt0(_122176, _122174)))], (289 ^ _113436) ^ [] : [-(sdtasdt0(_122178, _122176) = sdtasdt0(_122176, _122178))]], aScalar0(_122178), aScalar0(_122176), aScalar0(_122174)], (291 ^ _113436) ^ [_122885, _122887, _122889] : [302 ^ _113436 : [(303 ^ _113436) ^ [] : [-(sdtasdt0(_122889, sdtpldt0(_122887, _122885)) = sdtpldt0(sdtasdt0(_122889, _122887), sdtasdt0(_122889, _122885)))], (305 ^ _113436) ^ [] : [-(sdtasdt0(sdtpldt0(_122889, _122887), _122885) = sdtpldt0(sdtasdt0(_122889, _122885), sdtasdt0(_122887, _122885)))]], aScalar0(_122889), aScalar0(_122887), aScalar0(_122885)], (307 ^ _113436) ^ [_123446, _123448, _123450, _123452] : [-(sdtasdt0(sdtpldt0(_123452, _123450), sdtpldt0(_123448, _123446)) = sdtpldt0(sdtpldt0(sdtasdt0(_123452, _123448), sdtasdt0(_123452, _123446)), sdtpldt0(sdtasdt0(_123450, _123448), sdtasdt0(_123450, _123446)))), aScalar0(_123452), aScalar0(_123450), aScalar0(_123448), aScalar0(_123446)], (325 ^ _113436) ^ [_124011, _124013] : [332 ^ _113436 : [(333 ^ _113436) ^ [] : [-(sdtasdt0(_124013, smndt0(_124011)) = smndt0(sdtasdt0(_124013, _124011)))], (335 ^ _113436) ^ [] : [-(sdtasdt0(smndt0(_124013), _124011) = smndt0(sdtasdt0(_124013, _124011)))]], aScalar0(_124013), aScalar0(_124011)], (337 ^ _113436) ^ [_124421, _124423] : [-(sdtasdt0(smndt0(_124423), smndt0(_124421)) = sdtasdt0(_124423, _124421)), aScalar0(_124423), aScalar0(_124421)], (347 ^ _113436) ^ [_124736, _124738] : [aScalar0(_124738), aScalar0(_124736), sdtlseqdt0(_124738, _124736), true___, -(true___)], (365 ^ _113436) ^ [_125182] : [aScalar0(_125182), -(sdtlseqdt0(_125182, _125182))], (371 ^ _113436) ^ [_125384, _125386] : [aScalar0(_125386), aScalar0(_125384), -(_125386 = _125384), sdtlseqdt0(_125386, _125384), sdtlseqdt0(_125384, _125386)], (389 ^ _113436) ^ [_125873, _125875, _125877] : [aScalar0(_125877), aScalar0(_125875), aScalar0(_125873), -(sdtlseqdt0(_125877, _125873)), sdtlseqdt0(_125877, _125875), sdtlseqdt0(_125875, _125873)], (411 ^ _113436) ^ [_126487, _126489, _126491, _126493] : [-(sdtlseqdt0(sdtpldt0(_126493, _126489), sdtpldt0(_126491, _126487))), sdtlseqdt0(_126493, _126491), sdtlseqdt0(_126489, _126487), aScalar0(_126493), aScalar0(_126491), aScalar0(_126489), aScalar0(_126487)], (437 ^ _113436) ^ [_127230, _127232, _127234, _127236] : [aScalar0(_127236), aScalar0(_127234), aScalar0(_127232), aScalar0(_127230), -(sdtlseqdt0(sdtasdt0(_127236, _127232), sdtasdt0(_127234, _127230))), sdtlseqdt0(_127236, _127234), sdtlseqdt0(sz0z00, _127232), sdtlseqdt0(_127232, _127230)], (467 ^ _113436) ^ [_128044, _128046] : [aScalar0(_128046), aScalar0(_128044), -(sdtlseqdt0(_128046, _128044)), -(sdtlseqdt0(_128044, _128046))], (481 ^ _113436) ^ [_128431, _128433] : [aScalar0(_128433), aScalar0(_128431), 496 ^ _113436 : [(497 ^ _113436) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_128433, _128431)))], (499 ^ _113436) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_128433, _128431)))]], sdtlseqdt0(sz0z00, _128433), sdtlseqdt0(sz0z00, _128431)], (501 ^ _113436) ^ [_128979] : [aScalar0(_128979), -(sdtlseqdt0(sz0z00, sdtasdt0(_128979, _128979)))], (507 ^ _113436) ^ [_129187, _129189] : [aScalar0(_129189), aScalar0(_129187), -(_129189 = _129187), sdtlseqdt0(sz0z00, _129189), sdtlseqdt0(sz0z00, _129187), sdtasdt0(_129189, _129189) = sdtasdt0(_129187, _129187)], (529 ^ _113436) ^ [_129749] : [aVector0(_129749), true___, -(true___)], (539 ^ _113436) ^ [_130004] : [aVector0(_130004), -(aNaturalNumber0(aDimensionOf0(_130004)))], (545 ^ _113436) ^ [_130208, _130210] : [-(aScalar0(sdtlbdtrb0(_130210, _130208))), aVector0(_130210), aNaturalNumber0(_130208)], (555 ^ _113436) ^ [_130493] : [aVector0(_130493), -(aDimensionOf0(_130493) = sz00), 562 ^ _113436 : [(563 ^ _113436) ^ [_130776] : [_130776 = sziznziztdt0(_130493), 566 ^ _113436 : [(567 ^ _113436) ^ [] : [-(aVector0(_130776))], (569 ^ _113436) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_130776)) = aDimensionOf0(_130493))], (571 ^ _113436) ^ [_131078] : [aNaturalNumber0(_131078), -(sdtlbdtrb0(_130776, _131078) = sdtlbdtrb0(_130493, _131078))]]], (577 ^ _113436) ^ [_131269] : [-(_131269 = sziznziztdt0(_130493)), aVector0(_131269), szszuzczcdt0(aDimensionOf0(_131269)) = aDimensionOf0(_130493), 587 ^ _113436 : [(588 ^ _113436) ^ [] : [-(aNaturalNumber0(586 ^ [_130493, _131269]))], (590 ^ _113436) ^ [] : [sdtlbdtrb0(_131269, 586 ^ [_130493, _131269]) = sdtlbdtrb0(_130493, 586 ^ [_130493, _131269])]]]]], (594 ^ _113436) ^ [_131851, _131853] : [aVector0(_131853), aVector0(_131851), -(aDimensionOf0(sziznziztdt0(_131853)) = aDimensionOf0(sziznziztdt0(_131851))), aDimensionOf0(_131853) = aDimensionOf0(_131851), -(aDimensionOf0(_131851) = sz00)], (612 ^ _113436) ^ [_132357, _132359] : [aVector0(_132359), aVector0(_132357), aDimensionOf0(_132359) = aDimensionOf0(_132357), -(aScalar0(sdtasasdt0(_132359, _132357)))], (626 ^ _113436) ^ [_132755, _132757] : [aVector0(_132757), aVector0(_132755), -(sdtasasdt0(_132757, _132755) = sz0z00), aDimensionOf0(_132757) = aDimensionOf0(_132755), aDimensionOf0(_132755) = sz00], (644 ^ _113436) ^ [_133248, _133250] : [aVector0(_133250), aVector0(_133248), -(sdtasasdt0(_133250, _133248) = sdtpldt0(sdtasasdt0(sziznziztdt0(_133250), sziznziztdt0(_133248)), sdtasdt0(sdtlbdtrb0(_133250, aDimensionOf0(_133250)), sdtlbdtrb0(_133248, aDimensionOf0(_133248))))), aDimensionOf0(_133250) = aDimensionOf0(_133248), -(aDimensionOf0(_133248) = sz00)], (662 ^ _113436) ^ [_133776] : [aVector0(_133776), -(sdtlseqdt0(sz0z00, sdtasasdt0(_133776, _133776)))], (668 ^ _113436) ^ [] : [-(aVector0(xs))], (670 ^ _113436) ^ [] : [-(aVector0(xt))], (690 ^ _113436) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _113436) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _113436) ^ [] : [-(aVector0(xp))], (696 ^ _113436) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _113436) ^ [] : [-(aVector0(xq))], (700 ^ _113436) ^ [] : [-(xq = sziznziztdt0(xt))], (702 ^ _113436) ^ [] : [-(aScalar0(xA))], (704 ^ _113436) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (706 ^ _113436) ^ [] : [-(aScalar0(xB))], (708 ^ _113436) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (710 ^ _113436) ^ [] : [-(aScalar0(xC))], (712 ^ _113436) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (714 ^ _113436) ^ [] : [-(aScalar0(xD))], (716 ^ _113436) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (718 ^ _113436) ^ [] : [-(aScalar0(xE))], (720 ^ _113436) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (722 ^ _113436) ^ [] : [-(aScalar0(xF))], (724 ^ _113436) ^ [] : [-(xF = sdtasdt0(xA, xA))], (726 ^ _113436) ^ [] : [-(aScalar0(xG))], (728 ^ _113436) ^ [] : [-(xG = sdtasdt0(xB, xB))], (730 ^ _113436) ^ [] : [-(aScalar0(xH))], (732 ^ _113436) ^ [] : [-(xH = sdtasdt0(xA, xB))], (734 ^ _113436) ^ [] : [-(aScalar0(xR))], (736 ^ _113436) ^ [] : [-(xR = sdtasdt0(xC, xG))], (738 ^ _113436) ^ [] : [-(aScalar0(xP))], (740 ^ _113436) ^ [] : [-(xP = sdtasdt0(xE, xH))], (742 ^ _113436) ^ [] : [-(aScalar0(xS))], (744 ^ _113436) ^ [] : [-(xS = sdtasdt0(xF, xD))], (746 ^ _113436) ^ [] : [-(aScalar0(xN))], (748 ^ _113436) ^ [] : [-(xN = sdtasdt0(xR, xS))], (750 ^ _113436) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (752 ^ _113436) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (754 ^ _113436) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (756 ^ _113436) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], (758 ^ _113436) ^ [] : [sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))], (760 ^ _113436) ^ [] : [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], (762 ^ _113436) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], (764 ^ _113436) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], (766 ^ _113436) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))))], (672 ^ _113436) ^ [_134092, _134094] : [aVector0(_134094), aVector0(_134092), aDimensionOf0(_134094) = aDimensionOf0(_134092), iLess0(aDimensionOf0(_134094), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_134094, _134092), sdtasasdt0(_134094, _134092)), sdtasdt0(sdtasasdt0(_134094, _134094), sdtasasdt0(_134092, _134092))))]], input).
% 0.37/1.37 ncf('1',plain,[sdtpldt0(xR, xS) = sdtpldt0(xP, xP)],start(768 ^ 0)).
% 0.37/1.37 ncf('1.1',plain,[-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)), sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))],extension(507 ^ 1,bind([[_129187, _129189], [sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.37/1.37 ncf('1.1.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 2,bind([[_120633, _120635], [xS, xR]]))).
% 0.37/1.37 ncf('1.1.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 3)).
% 0.37/1.37 ncf('1.1.1.2',plain,[-(aScalar0(xS))],extension(742 ^ 3)).
% 0.37/1.37 ncf('1.1.2',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 2,bind([[_120633, _120635], [xP, xP]]))).
% 0.37/1.37 ncf('1.1.2.1',plain,[-(aScalar0(xP))],extension(738 ^ 3)).
% 0.37/1.37 ncf('1.1.2.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.37/1.37 ncf('1.1.3',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(762 ^ 2)).
% 0.37/1.37 ncf('1.1.4',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))],extension(764 ^ 2)).
% 0.37/1.37 ncf('1.1.5',plain,[-(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), aScalar0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), aScalar0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))],extension(371 ^ 2,bind([[_125384, _125386], [sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))]]))).
% 0.37/1.37 ncf('1.1.5.1',plain,[-(aScalar0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xR, xS))],extension(235 ^ 3,bind([[_120932, _120934], [sdtpldt0(xR, xS), sdtpldt0(xR, xS)]]))).
% 0.37/1.37 ncf('1.1.5.1.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.37/1.37 ncf('1.1.5.1.2',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[5, 1, 1].x')).
% 0.37/1.37 ncf('1.1.5.2',plain,[-(aScalar0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xP, xP))],extension(235 ^ 3,bind([[_120932, _120934], [sdtpldt0(xP, xP), sdtpldt0(xP, xP)]]))).
% 0.37/1.37 ncf('1.1.5.2.1',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.37/1.37 ncf('1.1.5.2.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[5, 1, 1].x')).
% 0.37/1.37 ncf('1.1.5.3',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 ^ 3,bind([[_127230, _127232, _127234, _127236], [sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.37/1.37 ncf('1.1.5.3.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.37/1.37 ncf('1.1.5.3.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.37/1.37 ncf('1.1.5.3.3',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[5, 1, 1].x')).
% 0.37/1.37 ncf('1.1.5.3.4',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[5, 1, 1].x')).
% 0.37/1.37 ncf('1.1.5.3.5',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(760 ^ 4)).
% 0.37/1.37 ncf('1.1.5.3.6',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.37/1.37 ncf('1.1.5.3.7',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],lemmata('[5, 1, 1].x')).
% 0.37/1.37 ncf('1.1.5.4',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))],extension(756 ^ 3)).
% 0.37/1.37 %-----------------------------------------------------
% 0.37/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------