TSTP Solution File: RNG060+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG060+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n009.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 161.63s 156.68s
% Output : Proof 161.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG060+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n009.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 20:16:33 EDT 2023
% 0.20/0.34 % CPUTime :
% 161.63/156.68
% 161.63/156.68 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 161.63/156.68 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 161.63/156.68 %-----------------------------------------------------
% 161.63/156.68 ncf(matrix, plain, [(776 ^ _150548) ^ [] : [sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))], !, (223 ^ _126658) ^ [] : [-(aScalar0(sz0z00))], (389 ^ _126658) ^ [_139075, _139077, _139079] : [aScalar0(_139079), aScalar0(_139077), aScalar0(_139075), -(sdtlseqdt0(_139079, _139075)), sdtlseqdt0(_139079, _139077), sdtlseqdt0(_139077, _139075)], (746 ^ _126658) ^ [] : [-(aScalar0(xH))], (644 ^ _126658) ^ [_146450, _146452] : [aVector0(_146452), aVector0(_146450), -(sdtasasdt0(_146452, _146450) = sdtpldt0(sdtasasdt0(sziznziztdt0(_146452), sziznziztdt0(_146450)), sdtasdt0(sdtlbdtrb0(_146452, aDimensionOf0(_146452)), sdtlbdtrb0(_146450, aDimensionOf0(_146450))))), aDimensionOf0(_146452) = aDimensionOf0(_146450), -(aDimensionOf0(_146450) = sz00)], (291 ^ _126658) ^ [_136087, _136089, _136091] : [302 ^ _126658 : [(303 ^ _126658) ^ [] : [-(sdtasdt0(_136091, sdtpldt0(_136089, _136087)) = sdtpldt0(sdtasdt0(_136091, _136089), sdtasdt0(_136091, _136087)))], (305 ^ _126658) ^ [] : [-(sdtasdt0(sdtpldt0(_136091, _136089), _136087) = sdtpldt0(sdtasdt0(_136091, _136087), sdtasdt0(_136089, _136087)))]], aScalar0(_136091), aScalar0(_136089), aScalar0(_136087)], (626 ^ _126658) ^ [_145957, _145959] : [aVector0(_145959), aVector0(_145957), -(sdtasasdt0(_145959, _145957) = sz0z00), aDimensionOf0(_145959) = aDimensionOf0(_145957), aDimensionOf0(_145957) = sz00], (162 ^ _126658) ^ [_132053] : [170 ^ _126658 : [(171 ^ _126658) ^ [] : [-(aNaturalNumber0(169 ^ [_132053]))], (173 ^ _126658) ^ [] : [-(_132053 = szszuzczcdt0(169 ^ [_132053]))]], aNaturalNumber0(_132053), -(_132053 = sz00)], (694 ^ _126658) ^ [] : [-(aVector0(xp))], (501 ^ _126658) ^ [_142181] : [aScalar0(_142181), -(sdtlseqdt0(sz0z00, sdtasdt0(_142181, _142181)))], (175 ^ _126658) ^ [_132481, _132483] : [aNaturalNumber0(_132483), aNaturalNumber0(_132481), szszuzczcdt0(_132483) = szszuzczcdt0(_132481), -(_132483 = _132481)], (704 ^ _126658) ^ [] : [-(xp = sziznziztdt0(xs))], (100 ^ _126658) ^ [_129968, _129970] : [_129970 = _129968, -(aDimensionOf0(_129970) = aDimensionOf0(_129968))], (126 ^ _126658) ^ [_130904, _130906] : [_130906 = _130904, -(smndt0(_130906) = smndt0(_130904))], (748 ^ _126658) ^ [] : [-(xH = sdtasdt0(xA, xB))], (716 ^ _126658) ^ [] : [-(xq = sziznziztdt0(xt))], (690 ^ _126658) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (307 ^ _126658) ^ [_136648, _136650, _136652, _136654] : [-(sdtasdt0(sdtpldt0(_136654, _136652), sdtpldt0(_136650, _136648)) = sdtpldt0(sdtpldt0(sdtasdt0(_136654, _136650), sdtasdt0(_136654, _136648)), sdtpldt0(sdtasdt0(_136652, _136650), sdtasdt0(_136652, _136648)))), aScalar0(_136654), aScalar0(_136652), aScalar0(_136650), aScalar0(_136648)], (437 ^ _126658) ^ [_140432, _140434, _140436, _140438] : [aScalar0(_140438), aScalar0(_140436), aScalar0(_140434), aScalar0(_140432), -(sdtlseqdt0(sdtasdt0(_140438, _140434), sdtasdt0(_140436, _140432))), sdtlseqdt0(_140438, _140436), sdtlseqdt0(sz0z00, _140434), sdtlseqdt0(_140434, _140432)], (90 ^ _126658) ^ [_129637, _129639, _129641, _129643] : [-(sdtlbdtrb0(_129643, _129639) = sdtlbdtrb0(_129641, _129637)), _129643 = _129641, _129639 = _129637], (750 ^ _126658) ^ [] : [-(aScalar0(xR))], (64 ^ _126658) ^ [_128743, _128745, _128747, _128749] : [-(sdtlseqdt0(_128747, _128743)), sdtlseqdt0(_128749, _128745), _128749 = _128747, _128745 = _128743], (78 ^ _126658) ^ [_129173, _129175] : [_129175 = _129173, -(szszuzczcdt0(_129175) = szszuzczcdt0(_129173))], (672 ^ _126658) ^ [_147294, _147296] : [aVector0(_147296), aVector0(_147294), aDimensionOf0(_147296) = aDimensionOf0(_147294), iLess0(aDimensionOf0(_147296), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_147296, _147294), sdtasasdt0(_147296, _147294)), sdtasdt0(sdtasasdt0(_147296, _147296), sdtasasdt0(_147294, _147294))))], (728 ^ _126658) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (271 ^ _126658) ^ [_135376, _135378, _135380] : [282 ^ _126658 : [(283 ^ _126658) ^ [] : [-(sdtpldt0(sdtpldt0(_135380, _135378), _135376) = sdtpldt0(_135380, sdtpldt0(_135378, _135376)))], (289 ^ _126658) ^ [] : [-(sdtasdt0(_135380, _135378) = sdtasdt0(_135378, _135380))], (287 ^ _126658) ^ [] : [-(sdtasdt0(sdtasdt0(_135380, _135378), _135376) = sdtasdt0(_135380, sdtasdt0(_135378, _135376)))], (285 ^ _126658) ^ [] : [-(sdtpldt0(_135380, _135378) = sdtpldt0(_135378, _135380))]], aScalar0(_135380), aScalar0(_135378), aScalar0(_135376)], (734 ^ _126658) ^ [] : [-(aScalar0(xE))], (152 ^ _126658) ^ [] : [-(aNaturalNumber0(sz00))], (692 ^ _126658) ^ [] : [aDimensionOf0(xs) = sz00], (365 ^ _126658) ^ [_138384] : [aScalar0(_138384), -(sdtlseqdt0(_138384, _138384))], (732 ^ _126658) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (2 ^ _126658) ^ [_126782] : [-(_126782 = _126782)], (529 ^ _126658) ^ [_142951] : [aVector0(_142951), true___, -(true___)], (722 ^ _126658) ^ [] : [-(aScalar0(xB))], (10 ^ _126658) ^ [_127093, _127095, _127097] : [-(_127097 = _127093), _127097 = _127095, _127095 = _127093], (760 ^ _126658) ^ [] : [-(xS = sdtasdt0(xF, xD))], (34 ^ _126658) ^ [_127850, _127852] : [-(aVector0(_127850)), _127852 = _127850, aVector0(_127852)], (347 ^ _126658) ^ [_137938, _137940] : [aScalar0(_137940), aScalar0(_137938), sdtlseqdt0(_137940, _137938), true___, -(true___)], (481 ^ _126658) ^ [_141633, _141635] : [aScalar0(_141635), aScalar0(_141633), 496 ^ _126658 : [(497 ^ _126658) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_141635, _141633)))], (499 ^ _126658) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_141635, _141633)))]], sdtlseqdt0(sz0z00, _141635), sdtlseqdt0(sz0z00, _141633)], (612 ^ _126658) ^ [_145559, _145561] : [aVector0(_145561), aVector0(_145559), aDimensionOf0(_145561) = aDimensionOf0(_145559), -(aScalar0(sdtasasdt0(_145561, _145559)))], (507 ^ _126658) ^ [_142389, _142391] : [aScalar0(_142391), aScalar0(_142389), -(_142391 = _142389), sdtlseqdt0(sz0z00, _142391), sdtlseqdt0(sz0z00, _142389), sdtasdt0(_142391, _142391) = sdtasdt0(_142389, _142389)], (411 ^ _126658) ^ [_139689, _139691, _139693, _139695] : [-(sdtlseqdt0(sdtpldt0(_139695, _139691), sdtpldt0(_139693, _139689))), sdtlseqdt0(_139695, _139693), sdtlseqdt0(_139691, _139689), aScalar0(_139695), aScalar0(_139693), aScalar0(_139691), aScalar0(_139689)], (116 ^ _126658) ^ [_130573, _130575, _130577, _130579] : [-(sdtpldt0(_130579, _130575) = sdtpldt0(_130577, _130573)), _130579 = _130577, _130575 = _130573], (207 ^ _126658) ^ [_133321] : [aNaturalNumber0(_133321), -(iLess0(_133321, szszuzczcdt0(_133321)))], (698 ^ _126658) ^ [_148034] : [aNaturalNumber0(_148034), -(sdtlbdtrb0(xp, _148034) = sdtlbdtrb0(xs, _148034))], (752 ^ _126658) ^ [] : [-(xR = sdtasdt0(xC, xG))], (710 ^ _126658) ^ [_148399] : [aNaturalNumber0(_148399), -(sdtlbdtrb0(xq, _148399) = sdtlbdtrb0(xt, _148399))], (106 ^ _126658) ^ [_130214, _130216, _130218, _130220] : [-(sdtasasdt0(_130220, _130216) = sdtasasdt0(_130218, _130214)), _130220 = _130218, _130216 = _130214], (4 ^ _126658) ^ [_126889, _126891] : [_126891 = _126889, -(_126889 = _126891)], (20 ^ _126658) ^ [_127434, _127436, _127438, _127440] : [-(iLess0(_127438, _127434)), iLess0(_127440, _127436), _127440 = _127438, _127436 = _127434], (766 ^ _126658) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (235 ^ _126658) ^ [_134134, _134136] : [-(aScalar0(sdtasdt0(_134136, _134134))), aScalar0(_134136), aScalar0(_134134)], (245 ^ _126658) ^ [_134419] : [aScalar0(_134419), -(aScalar0(smndt0(_134419)))], (251 ^ _126658) ^ [_134609] : [aScalar0(_134609), 254 ^ _126658 : [(257 ^ _126658) ^ [] : [-(sdtpldt0(sz0z00, _134609) = _134609)], (267 ^ _126658) ^ [] : [-(smndt0(smndt0(_134609)) = _134609)], (255 ^ _126658) ^ [] : [-(sdtpldt0(_134609, sz0z00) = _134609)], (269 ^ _126658) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (261 ^ _126658) ^ [] : [-(sdtasdt0(sz0z00, _134609) = sz0z00)], (265 ^ _126658) ^ [] : [-(sdtpldt0(smndt0(_134609), _134609) = sz0z00)], (263 ^ _126658) ^ [] : [-(sdtpldt0(_134609, smndt0(_134609)) = sz0z00)], (259 ^ _126658) ^ [] : [-(sdtasdt0(_134609, sz0z00) = sz0z00)]]], (706 ^ _126658) ^ [] : [-(aVector0(xq))], (738 ^ _126658) ^ [] : [-(aScalar0(xF))], (764 ^ _126658) ^ [] : [-(xN = sdtasdt0(xR, xS))], (84 ^ _126658) ^ [_129391, _129393] : [_129393 = _129391, -(sziznziztdt0(_129393) = sziznziztdt0(_129391))], (736 ^ _126658) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (662 ^ _126658) ^ [_146978] : [aVector0(_146978), -(sdtlseqdt0(sz0z00, sdtasasdt0(_146978, _146978)))], (730 ^ _126658) ^ [] : [-(aScalar0(xD))], (770 ^ _126658) ^ [] : [-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))], (670 ^ _126658) ^ [] : [-(aVector0(xt))], (54 ^ _126658) ^ [_128440, _128442] : [-(aScalar0(_128440)), _128442 = _128440, aScalar0(_128442)], (594 ^ _126658) ^ [_145053, _145055] : [aVector0(_145055), aVector0(_145053), -(aDimensionOf0(sziznziztdt0(_145055)) = aDimensionOf0(sziznziztdt0(_145053))), aDimensionOf0(_145055) = aDimensionOf0(_145053), -(aDimensionOf0(_145053) = sz00)], (467 ^ _126658) ^ [_141246, _141248] : [aScalar0(_141248), aScalar0(_141246), -(sdtlseqdt0(_141248, _141246)), -(sdtlseqdt0(_141246, _141248))], (213 ^ _126658) ^ [_133513] : [aScalar0(_133513), true___, -(true___)], (762 ^ _126658) ^ [] : [-(aScalar0(xN))], (142 ^ _126658) ^ [_131477] : [aNaturalNumber0(_131477), true___, -(true___)], (726 ^ _126658) ^ [] : [-(aScalar0(xC))], (756 ^ _126658) ^ [] : [-(xP = sdtasdt0(xE, xH))], (555 ^ _126658) ^ [_143695] : [aVector0(_143695), -(aDimensionOf0(_143695) = sz00), 562 ^ _126658 : [(563 ^ _126658) ^ [_143978] : [_143978 = sziznziztdt0(_143695), 566 ^ _126658 : [(571 ^ _126658) ^ [_144280] : [aNaturalNumber0(_144280), -(sdtlbdtrb0(_143978, _144280) = sdtlbdtrb0(_143695, _144280))], (569 ^ _126658) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_143978)) = aDimensionOf0(_143695))], (567 ^ _126658) ^ [] : [-(aVector0(_143978))]]], (577 ^ _126658) ^ [_144471] : [-(_144471 = sziznziztdt0(_143695)), aVector0(_144471), szszuzczcdt0(aDimensionOf0(_144471)) = aDimensionOf0(_143695), 587 ^ _126658 : [(588 ^ _126658) ^ [] : [-(aNaturalNumber0(586 ^ [_143695, _144471]))], (590 ^ _126658) ^ [] : [sdtlbdtrb0(_144471, 586 ^ [_143695, _144471]) = sdtlbdtrb0(_143695, 586 ^ [_143695, _144471])]]]]], (44 ^ _126658) ^ [_128145, _128147] : [-(aNaturalNumber0(_128145)), _128147 = _128145, aNaturalNumber0(_128147)], (744 ^ _126658) ^ [] : [-(xG = sdtasdt0(xB, xB))], (371 ^ _126658) ^ [_138586, _138588] : [aScalar0(_138588), aScalar0(_138586), -(_138588 = _138586), sdtlseqdt0(_138588, _138586), sdtlseqdt0(_138586, _138588)], (758 ^ _126658) ^ [] : [-(aScalar0(xS))], (539 ^ _126658) ^ [_143206] : [aVector0(_143206), -(aNaturalNumber0(aDimensionOf0(_143206)))], (720 ^ _126658) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (545 ^ _126658) ^ [_143410, _143412] : [-(aScalar0(sdtlbdtrb0(_143412, _143410))), aVector0(_143412), aNaturalNumber0(_143410)], (189 ^ _126658) ^ [_132875, _132877] : [aNaturalNumber0(_132877), aNaturalNumber0(_132875), iLess0(_132877, _132875), true___, -(true___)], (768 ^ _126658) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (708 ^ _126658) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (772 ^ _126658) ^ [] : [-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))], (668 ^ _126658) ^ [] : [-(aVector0(xs))], (325 ^ _126658) ^ [_137213, _137215] : [332 ^ _126658 : [(333 ^ _126658) ^ [] : [-(sdtasdt0(_137215, smndt0(_137213)) = smndt0(sdtasdt0(_137215, _137213)))], (335 ^ _126658) ^ [] : [-(sdtasdt0(smndt0(_137215), _137213) = smndt0(sdtasdt0(_137215, _137213)))]], aScalar0(_137215), aScalar0(_137213)], (742 ^ _126658) ^ [] : [-(aScalar0(xG))], (154 ^ _126658) ^ [_131785] : [aNaturalNumber0(_131785), 157 ^ _126658 : [(158 ^ _126658) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_131785)))], (160 ^ _126658) ^ [] : [szszuzczcdt0(_131785) = sz00]]], (718 ^ _126658) ^ [] : [-(aScalar0(xA))], (774 ^ _126658) ^ [] : [-(sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS))], (740 ^ _126658) ^ [] : [-(xF = sdtasdt0(xA, xA))], (724 ^ _126658) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (696 ^ _126658) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (337 ^ _126658) ^ [_137623, _137625] : [-(sdtasdt0(smndt0(_137625), smndt0(_137623)) = sdtasdt0(_137625, _137623)), aScalar0(_137625), aScalar0(_137623)], (225 ^ _126658) ^ [_133835, _133837] : [-(aScalar0(sdtpldt0(_133837, _133835))), aScalar0(_133837), aScalar0(_133835)], (754 ^ _126658) ^ [] : [-(aScalar0(xP))], (132 ^ _126658) ^ [_131130, _131132, _131134, _131136] : [-(sdtasdt0(_131136, _131132) = sdtasdt0(_131134, _131130)), _131136 = _131134, _131132 = _131130]], input).
% 161.63/156.68 ncf('1',plain,[sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],start(776 ^ 0)).
% 161.63/156.68 ncf('1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS))), sdtpldt0(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],extension(10 ^ 1,bind([[_127093, _127095, _127097], [sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtpldt0(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS)))]]))).
% 161.63/156.68 ncf('1.1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS)))), aScalar0(sdtpldt0(xR, smndt0(xS))), aScalar0(xR), aScalar0(smndt0(xS))],extension(291 ^ 2,bind([[_136087, _136089, _136091], [smndt0(xS), xR, sdtpldt0(xR, smndt0(xS))]]))).
% 161.63/156.68 ncf('1.1.1.1',plain,[-(aScalar0(sdtpldt0(xR, smndt0(xS)))), sdtpldt0(smndt0(xS), xR) = sdtpldt0(xR, smndt0(xS)), aScalar0(sdtpldt0(smndt0(xS), xR))],extension(54 ^ 3,bind([[_128440, _128442], [sdtpldt0(xR, smndt0(xS)), sdtpldt0(smndt0(xS), xR)]]))).
% 161.63/156.68 ncf('1.1.1.1.1',plain,[-(sdtpldt0(smndt0(xS), xR) = sdtpldt0(xR, smndt0(xS))), aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(sz0z00)],extension(271 ^ 4,bind([[_135376, _135378, _135380], [sz0z00, xR, smndt0(xS)]]))).
% 161.63/156.68 ncf('1.1.1.1.1.1',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 5,bind([[_134419], [xS]]))).
% 161.63/156.68 ncf('1.1.1.1.1.1.1',plain,[-(aScalar0(xS))],extension(758 ^ 6)).
% 161.63/156.68 ncf('1.1.1.1.1.2',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 161.63/156.68 ncf('1.1.1.1.1.3',plain,[-(aScalar0(sz0z00))],extension(223 ^ 5)).
% 161.63/156.68 ncf('1.1.1.1.2',plain,[-(aScalar0(sdtpldt0(smndt0(xS), xR))), aScalar0(smndt0(xS)), aScalar0(xR)],extension(225 ^ 4,bind([[_133835, _133837], [xR, smndt0(xS)]]))).
% 161.63/156.68 ncf('1.1.1.1.2.1',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 5,bind([[_134419], [xS]]))).
% 161.63/156.68 ncf('1.1.1.1.2.1.1',plain,[-(aScalar0(xS))],extension(758 ^ 6)).
% 161.63/156.68 ncf('1.1.1.1.2.2',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 161.63/156.68 ncf('1.1.1.2',plain,[-(aScalar0(xR))],extension(750 ^ 3)).
% 161.63/156.68 ncf('1.1.1.3',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 3,bind([[_134419], [xS]]))).
% 161.63/156.68 ncf('1.1.1.3.1',plain,[-(aScalar0(xS))],extension(758 ^ 4)).
% 161.63/156.68 ncf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS)) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(116 ^ 2,bind([[_130573, _130575, _130577, _130579], [sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS)), sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR)]]))).
% 161.63/156.68 ncf('1.1.2.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(smndt0(xS), xR)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(smndt0(xS), xR)) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))],extension(10 ^ 3,bind([[_127093, _127095, _127097], [sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(smndt0(xS), xR)), sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR)]]))).
% 161.63/156.68 ncf('1.1.2.1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), xR) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(smndt0(xS), xR))), aScalar0(xR), aScalar0(smndt0(xS)), aScalar0(xR)],extension(291 ^ 4,bind([[_136087, _136089, _136091], [xR, smndt0(xS), xR]]))).
% 161.63/156.68 ncf('1.1.2.1.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 161.63/156.68 ncf('1.1.2.1.1.2',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 5,bind([[_134419], [xS]]))).
% 161.63/156.68 ncf('1.1.2.1.1.2.1',plain,[-(aScalar0(xS))],extension(758 ^ 6)).
% 161.63/156.68 ncf('1.1.2.1.1.3',plain,[-(aScalar0(xR))],lemmata('[1, 2, 1, 1].x')).
% 161.63/156.68 ncf('1.1.2.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(smndt0(xS), xR)) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, xR) = sdtasdt0(xR, xR), sdtasdt0(smndt0(xS), xR) = smndt0(xN)],extension(116 ^ 4,bind([[_130573, _130575, _130577, _130579], [smndt0(xN), sdtasdt0(smndt0(xS), xR), sdtasdt0(xR, xR), sdtasdt0(xR, xR)]]))).
% 161.63/156.68 ncf('1.1.2.1.2.1',plain,[-(sdtasdt0(xR, xR) = sdtasdt0(xR, xR)), aScalar0(xR), aScalar0(xR), aScalar0(sz0z00)],extension(271 ^ 5,bind([[_135376, _135378, _135380], [sz0z00, xR, xR]]))).
% 161.63/156.68 ncf('1.1.2.1.2.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 6)).
% 161.63/156.68 ncf('1.1.2.1.2.1.2',plain,[-(aScalar0(xR))],lemmata('[2, 1, 2, 1, 1].x')).
% 161.63/156.68 ncf('1.1.2.1.2.1.3',plain,[-(aScalar0(sz0z00))],extension(223 ^ 6)).
% 161.63/156.68 ncf('1.1.2.1.2.2',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))],extension(772 ^ 5)).
% 161.63/156.68 ncf('1.1.2.2',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS)) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS)) = sdtpldt0(sdtasdt0(xR, smndt0(xS)), sdtasdt0(smndt0(xS), smndt0(xS))), sdtpldt0(sdtasdt0(xR, smndt0(xS)), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(10 ^ 3,bind([[_127093, _127095, _127097], [sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)), sdtpldt0(sdtasdt0(xR, smndt0(xS)), sdtasdt0(smndt0(xS), smndt0(xS))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS))]]))).
% 161.63/156.68 ncf('1.1.2.2.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), smndt0(xS)) = sdtpldt0(sdtasdt0(xR, smndt0(xS)), sdtasdt0(smndt0(xS), smndt0(xS)))), aScalar0(xR), aScalar0(smndt0(xS)), aScalar0(smndt0(xS))],extension(291 ^ 4,bind([[_136087, _136089, _136091], [smndt0(xS), smndt0(xS), xR]]))).
% 161.63/156.68 ncf('1.1.2.2.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 5)).
% 161.63/156.68 ncf('1.1.2.2.1.2',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 5,bind([[_134419], [xS]]))).
% 161.63/156.68 ncf('1.1.2.2.1.2.1',plain,[-(aScalar0(xS))],extension(758 ^ 6)).
% 161.63/156.68 ncf('1.1.2.2.1.3',plain,[-(aScalar0(smndt0(xS)))],lemmata('[2, 2, 1, 1].x')).
% 161.63/156.68 ncf('1.1.2.2.2',plain,[-(sdtpldt0(sdtasdt0(xR, smndt0(xS)), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(xR, smndt0(xS)) = smndt0(xN), sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS)],extension(116 ^ 4,bind([[_130573, _130575, _130577, _130579], [sdtasdt0(xS, xS), sdtasdt0(smndt0(xS), smndt0(xS)), smndt0(xN), sdtasdt0(xR, smndt0(xS))]]))).
% 161.63/156.68 ncf('1.1.2.2.2.1',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))],extension(770 ^ 5)).
% 161.63/156.68 ncf('1.1.2.2.2.2',plain,[-(sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS))],extension(774 ^ 5)).
% 161.63/156.68 %-----------------------------------------------------
% 161.63/156.68 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------