TSTP Solution File: RNG067+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n002.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 1.37s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n002.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 20:40:34 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.51/1.37
% 0.51/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.51/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/1.37 %-----------------------------------------------------
% 0.51/1.37 ncf(matrix, plain, [(756 ^ _116064) ^ [] : [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 ^ _116064) ^ [_118599, _118601] : [_118601 = _118599, -(smndt0(_118601) = smndt0(_118599))], (84 ^ _116064) ^ [_118817, _118819] : [_118819 = _118817, -(szszuzczcdt0(_118819) = szszuzczcdt0(_118817))], (90 ^ _116064) ^ [_119035, _119037] : [_119037 = _119035, -(sziznziztdt0(_119037) = sziznziztdt0(_119035))], (96 ^ _116064) ^ [_119281, _119283, _119285, _119287] : [-(sdtlbdtrb0(_119287, _119283) = sdtlbdtrb0(_119285, _119281)), _119287 = _119285, _119283 = _119281], (106 ^ _116064) ^ [_119612, _119614] : [_119614 = _119612, -(aDimensionOf0(_119614) = aDimensionOf0(_119612))], (112 ^ _116064) ^ [_119858, _119860, _119862, _119864] : [-(sdtasasdt0(_119864, _119860) = sdtasasdt0(_119862, _119858)), _119864 = _119862, _119860 = _119858], (122 ^ _116064) ^ [_120217, _120219, _120221, _120223] : [-(sdtpldt0(_120223, _120219) = sdtpldt0(_120221, _120217)), _120223 = _120221, _120219 = _120217], (132 ^ _116064) ^ [_120556, _120558, _120560, _120562] : [-(sdtasdt0(_120562, _120558) = sdtasdt0(_120560, _120556)), _120562 = _120560, _120558 = _120556], (2 ^ _116064) ^ [_116208] : [-(_116208 = _116208)], (4 ^ _116064) ^ [_116315, _116317] : [_116317 = _116315, -(_116315 = _116317)], (10 ^ _116064) ^ [_116519, _116521, _116523] : [-(_116523 = _116519), _116523 = _116521, _116521 = _116519], (20 ^ _116064) ^ [_116832, _116834] : [-(aNaturalNumber0(_116832)), _116834 = _116832, aNaturalNumber0(_116834)], (30 ^ _116064) ^ [_117155, _117157, _117159, _117161] : [-(iLess0(_117159, _117155)), iLess0(_117161, _117157), _117161 = _117159, _117157 = _117155], (44 ^ _116064) ^ [_117571, _117573] : [-(aVector0(_117571)), _117573 = _117571, aVector0(_117573)], (54 ^ _116064) ^ [_117866, _117868] : [-(aScalar0(_117866)), _117868 = _117866, aScalar0(_117868)], (64 ^ _116064) ^ [_118169, _118171, _118173, _118175] : [-(sdtlseqdt0(_118173, _118169)), sdtlseqdt0(_118175, _118171), _118175 = _118173, _118171 = _118169], (142 ^ _116064) ^ [_120903] : [aNaturalNumber0(_120903), true___, -(true___)], (152 ^ _116064) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _116064) ^ [_121211] : [aNaturalNumber0(_121211), 157 ^ _116064 : [(158 ^ _116064) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_121211)))], (160 ^ _116064) ^ [] : [szszuzczcdt0(_121211) = sz00]]], (162 ^ _116064) ^ [_121479] : [170 ^ _116064 : [(171 ^ _116064) ^ [] : [-(aNaturalNumber0(169 ^ [_121479]))], (173 ^ _116064) ^ [] : [-(_121479 = szszuzczcdt0(169 ^ [_121479]))]], aNaturalNumber0(_121479), -(_121479 = sz00)], (175 ^ _116064) ^ [_121907, _121909] : [aNaturalNumber0(_121909), aNaturalNumber0(_121907), szszuzczcdt0(_121909) = szszuzczcdt0(_121907), -(_121909 = _121907)], (189 ^ _116064) ^ [_122301, _122303] : [aNaturalNumber0(_122303), aNaturalNumber0(_122301), iLess0(_122303, _122301), true___, -(true___)], (207 ^ _116064) ^ [_122747] : [aNaturalNumber0(_122747), -(iLess0(_122747, szszuzczcdt0(_122747)))], (213 ^ _116064) ^ [_122939] : [aScalar0(_122939), true___, -(true___)], (223 ^ _116064) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _116064) ^ [_123261, _123263] : [-(aScalar0(sdtpldt0(_123263, _123261))), aScalar0(_123263), aScalar0(_123261)], (235 ^ _116064) ^ [_123560, _123562] : [-(aScalar0(sdtasdt0(_123562, _123560))), aScalar0(_123562), aScalar0(_123560)], (245 ^ _116064) ^ [_123845] : [aScalar0(_123845), -(aScalar0(smndt0(_123845)))], (251 ^ _116064) ^ [_124035] : [aScalar0(_124035), 254 ^ _116064 : [(255 ^ _116064) ^ [] : [-(sdtpldt0(_124035, sz0z00) = _124035)], (257 ^ _116064) ^ [] : [-(sdtpldt0(sz0z00, _124035) = _124035)], (259 ^ _116064) ^ [] : [-(sdtasdt0(_124035, sz0z00) = sz0z00)], (261 ^ _116064) ^ [] : [-(sdtasdt0(sz0z00, _124035) = sz0z00)], (263 ^ _116064) ^ [] : [-(sdtpldt0(_124035, smndt0(_124035)) = sz0z00)], (265 ^ _116064) ^ [] : [-(sdtpldt0(smndt0(_124035), _124035) = sz0z00)], (267 ^ _116064) ^ [] : [-(smndt0(smndt0(_124035)) = _124035)], (269 ^ _116064) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _116064) ^ [_124802, _124804, _124806] : [282 ^ _116064 : [(283 ^ _116064) ^ [] : [-(sdtpldt0(sdtpldt0(_124806, _124804), _124802) = sdtpldt0(_124806, sdtpldt0(_124804, _124802)))], (285 ^ _116064) ^ [] : [-(sdtpldt0(_124806, _124804) = sdtpldt0(_124804, _124806))], (287 ^ _116064) ^ [] : [-(sdtasdt0(sdtasdt0(_124806, _124804), _124802) = sdtasdt0(_124806, sdtasdt0(_124804, _124802)))], (289 ^ _116064) ^ [] : [-(sdtasdt0(_124806, _124804) = sdtasdt0(_124804, _124806))]], aScalar0(_124806), aScalar0(_124804), aScalar0(_124802)], (291 ^ _116064) ^ [_125513, _125515, _125517] : [302 ^ _116064 : [(303 ^ _116064) ^ [] : [-(sdtasdt0(_125517, sdtpldt0(_125515, _125513)) = sdtpldt0(sdtasdt0(_125517, _125515), sdtasdt0(_125517, _125513)))], (305 ^ _116064) ^ [] : [-(sdtasdt0(sdtpldt0(_125517, _125515), _125513) = sdtpldt0(sdtasdt0(_125517, _125513), sdtasdt0(_125515, _125513)))]], aScalar0(_125517), aScalar0(_125515), aScalar0(_125513)], (307 ^ _116064) ^ [_126074, _126076, _126078, _126080] : [-(sdtasdt0(sdtpldt0(_126080, _126078), sdtpldt0(_126076, _126074)) = sdtpldt0(sdtpldt0(sdtasdt0(_126080, _126076), sdtasdt0(_126080, _126074)), sdtpldt0(sdtasdt0(_126078, _126076), sdtasdt0(_126078, _126074)))), aScalar0(_126080), aScalar0(_126078), aScalar0(_126076), aScalar0(_126074)], (325 ^ _116064) ^ [_126639, _126641] : [332 ^ _116064 : [(333 ^ _116064) ^ [] : [-(sdtasdt0(_126641, smndt0(_126639)) = smndt0(sdtasdt0(_126641, _126639)))], (335 ^ _116064) ^ [] : [-(sdtasdt0(smndt0(_126641), _126639) = smndt0(sdtasdt0(_126641, _126639)))]], aScalar0(_126641), aScalar0(_126639)], (337 ^ _116064) ^ [_127049, _127051] : [-(sdtasdt0(smndt0(_127051), smndt0(_127049)) = sdtasdt0(_127051, _127049)), aScalar0(_127051), aScalar0(_127049)], (347 ^ _116064) ^ [_127364, _127366] : [aScalar0(_127366), aScalar0(_127364), sdtlseqdt0(_127366, _127364), true___, -(true___)], (365 ^ _116064) ^ [_127810] : [aScalar0(_127810), -(sdtlseqdt0(_127810, _127810))], (371 ^ _116064) ^ [_128012, _128014] : [aScalar0(_128014), aScalar0(_128012), -(_128014 = _128012), sdtlseqdt0(_128014, _128012), sdtlseqdt0(_128012, _128014)], (389 ^ _116064) ^ [_128501, _128503, _128505] : [aScalar0(_128505), aScalar0(_128503), aScalar0(_128501), -(sdtlseqdt0(_128505, _128501)), sdtlseqdt0(_128505, _128503), sdtlseqdt0(_128503, _128501)], (411 ^ _116064) ^ [_129115, _129117, _129119, _129121] : [-(sdtlseqdt0(sdtpldt0(_129121, _129117), sdtpldt0(_129119, _129115))), sdtlseqdt0(_129121, _129119), sdtlseqdt0(_129117, _129115), aScalar0(_129121), aScalar0(_129119), aScalar0(_129117), aScalar0(_129115)], (437 ^ _116064) ^ [_129858, _129860, _129862, _129864] : [aScalar0(_129864), aScalar0(_129862), aScalar0(_129860), aScalar0(_129858), -(sdtlseqdt0(sdtasdt0(_129864, _129860), sdtasdt0(_129862, _129858))), sdtlseqdt0(_129864, _129862), sdtlseqdt0(sz0z00, _129860), sdtlseqdt0(_129860, _129858)], (467 ^ _116064) ^ [_130672, _130674] : [aScalar0(_130674), aScalar0(_130672), -(sdtlseqdt0(_130674, _130672)), -(sdtlseqdt0(_130672, _130674))], (481 ^ _116064) ^ [_131059, _131061] : [aScalar0(_131061), aScalar0(_131059), 496 ^ _116064 : [(497 ^ _116064) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_131061, _131059)))], (499 ^ _116064) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_131061, _131059)))]], sdtlseqdt0(sz0z00, _131061), sdtlseqdt0(sz0z00, _131059)], (501 ^ _116064) ^ [_131607] : [aScalar0(_131607), -(sdtlseqdt0(sz0z00, sdtasdt0(_131607, _131607)))], (507 ^ _116064) ^ [_131815, _131817] : [aScalar0(_131817), aScalar0(_131815), -(_131817 = _131815), sdtlseqdt0(sz0z00, _131817), sdtlseqdt0(sz0z00, _131815), sdtasdt0(_131817, _131817) = sdtasdt0(_131815, _131815)], (529 ^ _116064) ^ [_132377] : [aVector0(_132377), true___, -(true___)], (539 ^ _116064) ^ [_132632] : [aVector0(_132632), -(aNaturalNumber0(aDimensionOf0(_132632)))], (545 ^ _116064) ^ [_132836, _132838] : [-(aScalar0(sdtlbdtrb0(_132838, _132836))), aVector0(_132838), aNaturalNumber0(_132836)], (555 ^ _116064) ^ [_133121] : [aVector0(_133121), -(aDimensionOf0(_133121) = sz00), 562 ^ _116064 : [(563 ^ _116064) ^ [_133404] : [_133404 = sziznziztdt0(_133121), 566 ^ _116064 : [(567 ^ _116064) ^ [] : [-(aVector0(_133404))], (569 ^ _116064) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_133404)) = aDimensionOf0(_133121))], (571 ^ _116064) ^ [_133706] : [aNaturalNumber0(_133706), -(sdtlbdtrb0(_133404, _133706) = sdtlbdtrb0(_133121, _133706))]]], (577 ^ _116064) ^ [_133897] : [-(_133897 = sziznziztdt0(_133121)), aVector0(_133897), szszuzczcdt0(aDimensionOf0(_133897)) = aDimensionOf0(_133121), 587 ^ _116064 : [(588 ^ _116064) ^ [] : [-(aNaturalNumber0(586 ^ [_133121, _133897]))], (590 ^ _116064) ^ [] : [sdtlbdtrb0(_133897, 586 ^ [_133121, _133897]) = sdtlbdtrb0(_133121, 586 ^ [_133121, _133897])]]]]], (594 ^ _116064) ^ [_134479, _134481] : [aVector0(_134481), aVector0(_134479), -(aDimensionOf0(sziznziztdt0(_134481)) = aDimensionOf0(sziznziztdt0(_134479))), aDimensionOf0(_134481) = aDimensionOf0(_134479), -(aDimensionOf0(_134479) = sz00)], (612 ^ _116064) ^ [_134985, _134987] : [aVector0(_134987), aVector0(_134985), aDimensionOf0(_134987) = aDimensionOf0(_134985), -(aScalar0(sdtasasdt0(_134987, _134985)))], (626 ^ _116064) ^ [_135383, _135385] : [aVector0(_135385), aVector0(_135383), -(sdtasasdt0(_135385, _135383) = sz0z00), aDimensionOf0(_135385) = aDimensionOf0(_135383), aDimensionOf0(_135383) = sz00], (644 ^ _116064) ^ [_135876, _135878] : [aVector0(_135878), aVector0(_135876), -(sdtasasdt0(_135878, _135876) = sdtpldt0(sdtasasdt0(sziznziztdt0(_135878), sziznziztdt0(_135876)), sdtasdt0(sdtlbdtrb0(_135878, aDimensionOf0(_135878)), sdtlbdtrb0(_135876, aDimensionOf0(_135876))))), aDimensionOf0(_135878) = aDimensionOf0(_135876), -(aDimensionOf0(_135876) = sz00)], (662 ^ _116064) ^ [_136404] : [aVector0(_136404), -(sdtlseqdt0(sz0z00, sdtasasdt0(_136404, _136404)))], (668 ^ _116064) ^ [] : [-(aVector0(xs))], (670 ^ _116064) ^ [] : [-(aVector0(xt))], (690 ^ _116064) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _116064) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _116064) ^ [] : [-(aVector0(xp))], (696 ^ _116064) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _116064) ^ [] : [-(aVector0(xq))], (700 ^ _116064) ^ [] : [-(xq = sziznziztdt0(xt))], (702 ^ _116064) ^ [] : [-(aScalar0(xA))], (704 ^ _116064) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (706 ^ _116064) ^ [] : [-(aScalar0(xB))], (708 ^ _116064) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (710 ^ _116064) ^ [] : [-(aScalar0(xC))], (712 ^ _116064) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (714 ^ _116064) ^ [] : [-(aScalar0(xD))], (716 ^ _116064) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (718 ^ _116064) ^ [] : [-(aScalar0(xE))], (720 ^ _116064) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (722 ^ _116064) ^ [] : [-(aScalar0(xF))], (724 ^ _116064) ^ [] : [-(xF = sdtasdt0(xA, xA))], (726 ^ _116064) ^ [] : [-(aScalar0(xG))], (728 ^ _116064) ^ [] : [-(xG = sdtasdt0(xB, xB))], (730 ^ _116064) ^ [] : [-(aScalar0(xH))], (732 ^ _116064) ^ [] : [-(xH = sdtasdt0(xA, xB))], (734 ^ _116064) ^ [] : [-(aScalar0(xR))], (736 ^ _116064) ^ [] : [-(xR = sdtasdt0(xC, xG))], (738 ^ _116064) ^ [] : [-(aScalar0(xP))], (740 ^ _116064) ^ [] : [-(xP = sdtasdt0(xE, xH))], (742 ^ _116064) ^ [] : [-(aScalar0(xS))], (744 ^ _116064) ^ [] : [-(xS = sdtasdt0(xF, xD))], (746 ^ _116064) ^ [] : [-(aScalar0(xN))], (748 ^ _116064) ^ [] : [-(xN = sdtasdt0(xR, xS))], (750 ^ _116064) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (752 ^ _116064) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (754 ^ _116064) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (672 ^ _116064) ^ [_136720, _136722] : [aVector0(_136722), aVector0(_136720), aDimensionOf0(_136722) = aDimensionOf0(_136720), iLess0(aDimensionOf0(_136722), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_136722, _136720), sdtasasdt0(_136722, _136720)), sdtasdt0(sdtasasdt0(_136722, _136722), sdtasasdt0(_136720, _136720))))]], input).
% 0.51/1.37 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(756 ^ 0)).
% 0.51/1.37 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([[_129115, _129117, _129119, _129121], [xN, sdtasdt0(xP, xP), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP))]]))).
% 0.51/1.37 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([[_129115, _129117, _129119, _129121], [xN, sdtasdt0(xP, xP), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))]]))).
% 0.51/1.37 ncf('1.1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))],extension(754 ^ 3)).
% 0.51/1.37 ncf('1.1.1.2',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(752 ^ 3)).
% 0.51/1.37 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([[_123261, _123263], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.51/1.37 ncf('1.1.1.3.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 4,bind([[_123560, _123562], [xP, xP]]))).
% 0.51/1.37 ncf('1.1.1.3.1.1',plain,[-(aScalar0(xP))],extension(738 ^ 5)).
% 0.51/1.37 ncf('1.1.1.3.1.2',plain,[-(aScalar0(xP))],lemmata('[3, 1, 1, 1].x')).
% 0.51/1.37 ncf('1.1.1.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('[1, 1, 1].x')).
% 0.51/1.37 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([[_123261, _123263], [sdtasdt0(xS, xS), sdtasdt0(xR, xR)]]))).
% 0.51/1.37 ncf('1.1.1.4.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(235 ^ 4,bind([[_123560, _123562], [xR, xR]]))).
% 0.51/1.37 ncf('1.1.1.4.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 5)).
% 0.51/1.37 ncf('1.1.1.4.1.2',plain,[-(aScalar0(xR))],lemmata('[4, 1, 1, 1].x')).
% 0.51/1.37 ncf('1.1.1.4.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(235 ^ 4,bind([[_123560, _123562], [xS, xS]]))).
% 0.51/1.37 ncf('1.1.1.4.2.1',plain,[-(aScalar0(xS))],extension(742 ^ 5)).
% 0.51/1.37 ncf('1.1.1.4.2.2',plain,[-(aScalar0(xS))],lemmata('[4, 1, 1, 1].x')).
% 0.51/1.37 ncf('1.1.1.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 3,bind([[_123560, _123562], [xP, xP]]))).
% 0.51/1.37 ncf('1.1.1.5.1',plain,[-(aScalar0(xP))],extension(738 ^ 4)).
% 0.51/1.37 ncf('1.1.1.5.2',plain,[-(aScalar0(xP))],lemmata('[1, 1, 1].x')).
% 0.51/1.37 ncf('1.1.1.6',plain,[-(aScalar0(xN))],extension(746 ^ 3)).
% 0.51/1.37 ncf('1.1.2',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(752 ^ 2)).
% 0.51/1.37 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([[_123261, _123263], [sdtasdt0(xP, xP), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))]]))).
% 0.51/1.37 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([[_123261, _123263], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.51/1.37 ncf('1.1.3.1.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 4,bind([[_123560, _123562], [xP, xP]]))).
% 0.51/1.37 ncf('1.1.3.1.1.1',plain,[-(aScalar0(xP))],extension(738 ^ 5)).
% 0.51/1.37 ncf('1.1.3.1.1.2',plain,[-(aScalar0(xP))],lemmata('[1, 3, 1, 1].x')).
% 0.51/1.37 ncf('1.1.3.1.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('[3, 1, 1].x')).
% 0.51/1.37 ncf('1.1.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 3,bind([[_123560, _123562], [xP, xP]]))).
% 0.51/1.37 ncf('1.1.3.2.1',plain,[-(aScalar0(xP))],extension(738 ^ 4)).
% 0.51/1.37 ncf('1.1.3.2.2',plain,[-(aScalar0(xP))],lemmata('[3, 1, 1].x')).
% 0.51/1.37 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([[_123261, _123263], [xN, sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))]]))).
% 0.51/1.37 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([[_123261, _123263], [sdtasdt0(xS, xS), sdtasdt0(xR, xR)]]))).
% 0.51/1.37 ncf('1.1.4.1.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(235 ^ 4,bind([[_123560, _123562], [xR, xR]]))).
% 0.51/1.37 ncf('1.1.4.1.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 5)).
% 0.51/1.37 ncf('1.1.4.1.1.2',plain,[-(aScalar0(xR))],lemmata('[1, 4, 1, 1].x')).
% 0.51/1.37 ncf('1.1.4.1.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(235 ^ 4,bind([[_123560, _123562], [xS, xS]]))).
% 0.51/1.37 ncf('1.1.4.1.2.1',plain,[-(aScalar0(xS))],extension(742 ^ 5)).
% 0.51/1.37 ncf('1.1.4.1.2.2',plain,[-(aScalar0(xS))],lemmata('[1, 4, 1, 1].x')).
% 0.51/1.37 ncf('1.1.4.2',plain,[-(aScalar0(xN))],extension(746 ^ 3)).
% 0.51/1.37 ncf('1.1.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(235 ^ 2,bind([[_123560, _123562], [xP, xP]]))).
% 0.51/1.37 ncf('1.1.5.1',plain,[-(aScalar0(xP))],extension(738 ^ 3)).
% 0.51/1.37 ncf('1.1.5.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.51/1.37 ncf('1.1.6',plain,[-(aScalar0(xN))],extension(746 ^ 2)).
% 0.51/1.37 %-----------------------------------------------------
% 0.51/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------