TSTP Solution File: RNG073+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 0.34s 1.38s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG073+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n022.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 20:26:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.34/1.38
% 0.34/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 ncf(matrix, plain, [(784 ^ _116485) ^ [] : [sdtpldt0(xR, xS) = sdtpldt0(xP, xP)], (78 ^ _116485) ^ [_119020, _119022] : [_119022 = _119020, -(smndt0(_119022) = smndt0(_119020))], (84 ^ _116485) ^ [_119238, _119240] : [_119240 = _119238, -(szszuzczcdt0(_119240) = szszuzczcdt0(_119238))], (90 ^ _116485) ^ [_119456, _119458] : [_119458 = _119456, -(sziznziztdt0(_119458) = sziznziztdt0(_119456))], (96 ^ _116485) ^ [_119702, _119704, _119706, _119708] : [-(sdtlbdtrb0(_119708, _119704) = sdtlbdtrb0(_119706, _119702)), _119708 = _119706, _119704 = _119702], (106 ^ _116485) ^ [_120033, _120035] : [_120035 = _120033, -(aDimensionOf0(_120035) = aDimensionOf0(_120033))], (112 ^ _116485) ^ [_120279, _120281, _120283, _120285] : [-(sdtasasdt0(_120285, _120281) = sdtasasdt0(_120283, _120279)), _120285 = _120283, _120281 = _120279], (122 ^ _116485) ^ [_120638, _120640, _120642, _120644] : [-(sdtasdt0(_120644, _120640) = sdtasdt0(_120642, _120638)), _120644 = _120642, _120640 = _120638], (132 ^ _116485) ^ [_120977, _120979, _120981, _120983] : [-(sdtpldt0(_120983, _120979) = sdtpldt0(_120981, _120977)), _120983 = _120981, _120979 = _120977], (2 ^ _116485) ^ [_116629] : [-(_116629 = _116629)], (4 ^ _116485) ^ [_116736, _116738] : [_116738 = _116736, -(_116736 = _116738)], (10 ^ _116485) ^ [_116940, _116942, _116944] : [-(_116944 = _116940), _116944 = _116942, _116942 = _116940], (20 ^ _116485) ^ [_117281, _117283, _117285, _117287] : [-(iLess0(_117285, _117281)), iLess0(_117287, _117283), _117287 = _117285, _117283 = _117281], (34 ^ _116485) ^ [_117697, _117699] : [-(aVector0(_117697)), _117699 = _117697, aVector0(_117699)], (44 ^ _116485) ^ [_117992, _117994] : [-(aNaturalNumber0(_117992)), _117994 = _117992, aNaturalNumber0(_117994)], (54 ^ _116485) ^ [_118287, _118289] : [-(aScalar0(_118287)), _118289 = _118287, aScalar0(_118289)], (64 ^ _116485) ^ [_118590, _118592, _118594, _118596] : [-(sdtlseqdt0(_118594, _118590)), sdtlseqdt0(_118596, _118592), _118596 = _118594, _118592 = _118590], (142 ^ _116485) ^ [_121324] : [aNaturalNumber0(_121324), true___, -(true___)], (152 ^ _116485) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _116485) ^ [_121632] : [aNaturalNumber0(_121632), 157 ^ _116485 : [(158 ^ _116485) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_121632)))], (160 ^ _116485) ^ [] : [szszuzczcdt0(_121632) = sz00]]], (162 ^ _116485) ^ [_121900] : [170 ^ _116485 : [(171 ^ _116485) ^ [] : [-(aNaturalNumber0(169 ^ [_121900]))], (173 ^ _116485) ^ [] : [-(_121900 = szszuzczcdt0(169 ^ [_121900]))]], aNaturalNumber0(_121900), -(_121900 = sz00)], (175 ^ _116485) ^ [_122328, _122330] : [aNaturalNumber0(_122330), aNaturalNumber0(_122328), szszuzczcdt0(_122330) = szszuzczcdt0(_122328), -(_122330 = _122328)], (189 ^ _116485) ^ [_122722, _122724] : [aNaturalNumber0(_122724), aNaturalNumber0(_122722), iLess0(_122724, _122722), true___, -(true___)], (207 ^ _116485) ^ [_123168] : [aNaturalNumber0(_123168), -(iLess0(_123168, szszuzczcdt0(_123168)))], (213 ^ _116485) ^ [_123360] : [aScalar0(_123360), true___, -(true___)], (223 ^ _116485) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _116485) ^ [_123682, _123684] : [-(aScalar0(sdtpldt0(_123684, _123682))), aScalar0(_123684), aScalar0(_123682)], (235 ^ _116485) ^ [_123981, _123983] : [-(aScalar0(sdtasdt0(_123983, _123981))), aScalar0(_123983), aScalar0(_123981)], (245 ^ _116485) ^ [_124266] : [aScalar0(_124266), -(aScalar0(smndt0(_124266)))], (251 ^ _116485) ^ [_124456] : [aScalar0(_124456), 254 ^ _116485 : [(255 ^ _116485) ^ [] : [-(sdtpldt0(_124456, sz0z00) = _124456)], (257 ^ _116485) ^ [] : [-(sdtpldt0(sz0z00, _124456) = _124456)], (259 ^ _116485) ^ [] : [-(sdtasdt0(_124456, sz0z00) = sz0z00)], (261 ^ _116485) ^ [] : [-(sdtasdt0(sz0z00, _124456) = sz0z00)], (263 ^ _116485) ^ [] : [-(sdtpldt0(_124456, smndt0(_124456)) = sz0z00)], (265 ^ _116485) ^ [] : [-(sdtpldt0(smndt0(_124456), _124456) = sz0z00)], (267 ^ _116485) ^ [] : [-(smndt0(smndt0(_124456)) = _124456)], (269 ^ _116485) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _116485) ^ [_125223, _125225, _125227] : [282 ^ _116485 : [(283 ^ _116485) ^ [] : [-(sdtpldt0(sdtpldt0(_125227, _125225), _125223) = sdtpldt0(_125227, sdtpldt0(_125225, _125223)))], (285 ^ _116485) ^ [] : [-(sdtpldt0(_125227, _125225) = sdtpldt0(_125225, _125227))], (287 ^ _116485) ^ [] : [-(sdtasdt0(sdtasdt0(_125227, _125225), _125223) = sdtasdt0(_125227, sdtasdt0(_125225, _125223)))], (289 ^ _116485) ^ [] : [-(sdtasdt0(_125227, _125225) = sdtasdt0(_125225, _125227))]], aScalar0(_125227), aScalar0(_125225), aScalar0(_125223)], (291 ^ _116485) ^ [_125934, _125936, _125938] : [302 ^ _116485 : [(303 ^ _116485) ^ [] : [-(sdtasdt0(_125938, sdtpldt0(_125936, _125934)) = sdtpldt0(sdtasdt0(_125938, _125936), sdtasdt0(_125938, _125934)))], (305 ^ _116485) ^ [] : [-(sdtasdt0(sdtpldt0(_125938, _125936), _125934) = sdtpldt0(sdtasdt0(_125938, _125934), sdtasdt0(_125936, _125934)))]], aScalar0(_125938), aScalar0(_125936), aScalar0(_125934)], (307 ^ _116485) ^ [_126495, _126497, _126499, _126501] : [-(sdtasdt0(sdtpldt0(_126501, _126499), sdtpldt0(_126497, _126495)) = sdtpldt0(sdtpldt0(sdtasdt0(_126501, _126497), sdtasdt0(_126501, _126495)), sdtpldt0(sdtasdt0(_126499, _126497), sdtasdt0(_126499, _126495)))), aScalar0(_126501), aScalar0(_126499), aScalar0(_126497), aScalar0(_126495)], (325 ^ _116485) ^ [_127060, _127062] : [332 ^ _116485 : [(333 ^ _116485) ^ [] : [-(sdtasdt0(_127062, smndt0(_127060)) = smndt0(sdtasdt0(_127062, _127060)))], (335 ^ _116485) ^ [] : [-(sdtasdt0(smndt0(_127062), _127060) = smndt0(sdtasdt0(_127062, _127060)))]], aScalar0(_127062), aScalar0(_127060)], (337 ^ _116485) ^ [_127470, _127472] : [-(sdtasdt0(smndt0(_127472), smndt0(_127470)) = sdtasdt0(_127472, _127470)), aScalar0(_127472), aScalar0(_127470)], (347 ^ _116485) ^ [_127785, _127787] : [aScalar0(_127787), aScalar0(_127785), sdtlseqdt0(_127787, _127785), true___, -(true___)], (365 ^ _116485) ^ [_128231] : [aScalar0(_128231), -(sdtlseqdt0(_128231, _128231))], (371 ^ _116485) ^ [_128433, _128435] : [aScalar0(_128435), aScalar0(_128433), -(_128435 = _128433), sdtlseqdt0(_128435, _128433), sdtlseqdt0(_128433, _128435)], (389 ^ _116485) ^ [_128922, _128924, _128926] : [aScalar0(_128926), aScalar0(_128924), aScalar0(_128922), -(sdtlseqdt0(_128926, _128922)), sdtlseqdt0(_128926, _128924), sdtlseqdt0(_128924, _128922)], (411 ^ _116485) ^ [_129536, _129538, _129540, _129542] : [-(sdtlseqdt0(sdtpldt0(_129542, _129538), sdtpldt0(_129540, _129536))), sdtlseqdt0(_129542, _129540), sdtlseqdt0(_129538, _129536), aScalar0(_129542), aScalar0(_129540), aScalar0(_129538), aScalar0(_129536)], (437 ^ _116485) ^ [_130279, _130281, _130283, _130285] : [aScalar0(_130285), aScalar0(_130283), aScalar0(_130281), aScalar0(_130279), -(sdtlseqdt0(sdtasdt0(_130285, _130281), sdtasdt0(_130283, _130279))), sdtlseqdt0(_130285, _130283), sdtlseqdt0(sz0z00, _130281), sdtlseqdt0(_130281, _130279)], (467 ^ _116485) ^ [_131093, _131095] : [aScalar0(_131095), aScalar0(_131093), -(sdtlseqdt0(_131095, _131093)), -(sdtlseqdt0(_131093, _131095))], (481 ^ _116485) ^ [_131480, _131482] : [aScalar0(_131482), aScalar0(_131480), 496 ^ _116485 : [(497 ^ _116485) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_131482, _131480)))], (499 ^ _116485) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_131482, _131480)))]], sdtlseqdt0(sz0z00, _131482), sdtlseqdt0(sz0z00, _131480)], (501 ^ _116485) ^ [_132028] : [aScalar0(_132028), -(sdtlseqdt0(sz0z00, sdtasdt0(_132028, _132028)))], (507 ^ _116485) ^ [_132236, _132238] : [aScalar0(_132238), aScalar0(_132236), -(_132238 = _132236), sdtlseqdt0(sz0z00, _132238), sdtlseqdt0(sz0z00, _132236), sdtasdt0(_132238, _132238) = sdtasdt0(_132236, _132236)], (529 ^ _116485) ^ [_132798] : [aVector0(_132798), true___, -(true___)], (539 ^ _116485) ^ [_133053] : [aVector0(_133053), -(aNaturalNumber0(aDimensionOf0(_133053)))], (545 ^ _116485) ^ [_133257, _133259] : [-(aScalar0(sdtlbdtrb0(_133259, _133257))), aVector0(_133259), aNaturalNumber0(_133257)], (555 ^ _116485) ^ [_133542] : [aVector0(_133542), -(aDimensionOf0(_133542) = sz00), 562 ^ _116485 : [(563 ^ _116485) ^ [_133825] : [_133825 = sziznziztdt0(_133542), 566 ^ _116485 : [(567 ^ _116485) ^ [] : [-(aVector0(_133825))], (569 ^ _116485) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_133825)) = aDimensionOf0(_133542))], (571 ^ _116485) ^ [_134127] : [aNaturalNumber0(_134127), -(sdtlbdtrb0(_133825, _134127) = sdtlbdtrb0(_133542, _134127))]]], (577 ^ _116485) ^ [_134318] : [-(_134318 = sziznziztdt0(_133542)), aVector0(_134318), szszuzczcdt0(aDimensionOf0(_134318)) = aDimensionOf0(_133542), 587 ^ _116485 : [(588 ^ _116485) ^ [] : [-(aNaturalNumber0(586 ^ [_133542, _134318]))], (590 ^ _116485) ^ [] : [sdtlbdtrb0(_134318, 586 ^ [_133542, _134318]) = sdtlbdtrb0(_133542, 586 ^ [_133542, _134318])]]]]], (594 ^ _116485) ^ [_134900, _134902] : [aVector0(_134902), aVector0(_134900), -(aDimensionOf0(sziznziztdt0(_134902)) = aDimensionOf0(sziznziztdt0(_134900))), aDimensionOf0(_134902) = aDimensionOf0(_134900), -(aDimensionOf0(_134900) = sz00)], (612 ^ _116485) ^ [_135406, _135408] : [aVector0(_135408), aVector0(_135406), aDimensionOf0(_135408) = aDimensionOf0(_135406), -(aScalar0(sdtasasdt0(_135408, _135406)))], (626 ^ _116485) ^ [_135804, _135806] : [aVector0(_135806), aVector0(_135804), -(sdtasasdt0(_135806, _135804) = sz0z00), aDimensionOf0(_135806) = aDimensionOf0(_135804), aDimensionOf0(_135804) = sz00], (644 ^ _116485) ^ [_136297, _136299] : [aVector0(_136299), aVector0(_136297), -(sdtasasdt0(_136299, _136297) = sdtpldt0(sdtasasdt0(sziznziztdt0(_136299), sziznziztdt0(_136297)), sdtasdt0(sdtlbdtrb0(_136299, aDimensionOf0(_136299)), sdtlbdtrb0(_136297, aDimensionOf0(_136297))))), aDimensionOf0(_136299) = aDimensionOf0(_136297), -(aDimensionOf0(_136297) = sz00)], (662 ^ _116485) ^ [_136825] : [aVector0(_136825), -(sdtlseqdt0(sz0z00, sdtasasdt0(_136825, _136825)))], (668 ^ _116485) ^ [] : [-(aVector0(xs))], (670 ^ _116485) ^ [] : [-(aVector0(xt))], (690 ^ _116485) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _116485) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _116485) ^ [] : [-(aVector0(xp))], (696 ^ _116485) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _116485) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _116485) ^ [_137881] : [aNaturalNumber0(_137881), -(sdtlbdtrb0(xp, _137881) = sdtlbdtrb0(xs, _137881))], (718 ^ _116485) ^ [] : [-(aScalar0(xA))], (720 ^ _116485) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _116485) ^ [] : [-(aScalar0(xB))], (724 ^ _116485) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _116485) ^ [] : [-(aScalar0(xC))], (728 ^ _116485) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _116485) ^ [] : [-(aScalar0(xD))], (732 ^ _116485) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _116485) ^ [] : [-(aScalar0(xE))], (736 ^ _116485) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _116485) ^ [] : [-(aScalar0(xF))], (740 ^ _116485) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _116485) ^ [] : [-(aScalar0(xG))], (744 ^ _116485) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _116485) ^ [] : [-(aScalar0(xH))], (748 ^ _116485) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _116485) ^ [] : [-(aScalar0(xR))], (752 ^ _116485) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _116485) ^ [] : [-(aScalar0(xP))], (756 ^ _116485) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _116485) ^ [] : [-(aScalar0(xS))], (760 ^ _116485) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _116485) ^ [] : [-(aScalar0(xN))], (764 ^ _116485) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _116485) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _116485) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (770 ^ _116485) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (772 ^ _116485) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], (774 ^ _116485) ^ [] : [sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))], (776 ^ _116485) ^ [] : [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], (778 ^ _116485) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], (780 ^ _116485) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], (782 ^ _116485) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))))], (706 ^ _116485) ^ [] : [-(aVector0(xq))], (708 ^ _116485) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _116485) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _116485) ^ [_138246] : [aNaturalNumber0(_138246), -(sdtlbdtrb0(xq, _138246) = sdtlbdtrb0(xt, _138246))], (672 ^ _116485) ^ [_137141, _137143] : [aVector0(_137143), aVector0(_137141), aDimensionOf0(_137143) = aDimensionOf0(_137141), iLess0(aDimensionOf0(_137143), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_137143, _137141), sdtasasdt0(_137143, _137141)), sdtasdt0(sdtasasdt0(_137143, _137143), sdtasasdt0(_137141, _137141))))]], input).
% 0.34/1.38 ncf('1',plain,[sdtpldt0(xR, xS) = sdtpldt0(xP, xP)],start(784 ^ 0)).
% 0.34/1.38 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([[_132236, _132238], [sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.34/1.38 ncf('1.1.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 2,bind([[_123682, _123684], [xS, xR]]))).
% 0.34/1.38 ncf('1.1.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 3)).
% 0.34/1.38 ncf('1.1.1.2',plain,[-(aScalar0(xS))],extension(758 ^ 3)).
% 0.34/1.38 ncf('1.1.2',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 2,bind([[_123682, _123684], [xP, xP]]))).
% 0.34/1.38 ncf('1.1.2.1',plain,[-(aScalar0(xP))],extension(754 ^ 3)).
% 0.34/1.38 ncf('1.1.2.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.34/1.38 ncf('1.1.3',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(778 ^ 2)).
% 0.34/1.38 ncf('1.1.4',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))],extension(780 ^ 2)).
% 0.34/1.38 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([[_128433, _128435], [sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))]]))).
% 0.34/1.38 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([[_123981, _123983], [sdtpldt0(xR, xS), sdtpldt0(xR, xS)]]))).
% 0.34/1.38 ncf('1.1.5.1.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.5.1.2',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[5, 1, 1].x')).
% 0.34/1.38 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([[_123981, _123983], [sdtpldt0(xP, xP), sdtpldt0(xP, xP)]]))).
% 0.34/1.38 ncf('1.1.5.2.1',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.5.2.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[5, 1, 1].x')).
% 0.34/1.38 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([[_130279, _130281, _130283, _130285], [sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.34/1.38 ncf('1.1.5.3.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.5.3.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.5.3.3',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('[5, 1, 1].x')).
% 0.34/1.38 ncf('1.1.5.3.4',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('[5, 1, 1].x')).
% 0.34/1.38 ncf('1.1.5.3.5',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(776 ^ 4)).
% 0.34/1.38 ncf('1.1.5.3.6',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],lemmata('[1].x')).
% 0.34/1.38 ncf('1.1.5.3.7',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],lemmata('[5, 1, 1].x')).
% 0.34/1.38 ncf('1.1.5.4',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))],extension(772 ^ 3)).
% 0.34/1.38 %-----------------------------------------------------
% 0.34/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------