TSTP Solution File: RNG059+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG059+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 221.09s 214.28s
% Output : Proof 221.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.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 20:24:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 221.09/214.28
% 221.09/214.28 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 221.09/214.28 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 221.09/214.28 %-----------------------------------------------------
% 221.09/214.28 ncf(matrix, plain, [(754 ^ _148092) ^ [] : [sdtasdt0(smndt0(xS), xR) = smndt0(xN)], !, (223 ^ _124954) ^ [] : [-(aScalar0(sz0z00))], (594 ^ _124954) ^ [_143349, _143351] : [aVector0(_143351), aVector0(_143349), -(aDimensionOf0(sziznziztdt0(_143351)) = aDimensionOf0(sziznziztdt0(_143349))), aDimensionOf0(_143351) = aDimensionOf0(_143349), -(aDimensionOf0(_143349) = sz00)], (672 ^ _124954) ^ [_145590, _145592] : [aVector0(_145592), aVector0(_145590), aDimensionOf0(_145592) = aDimensionOf0(_145590), iLess0(aDimensionOf0(_145592), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_145592, _145590), sdtasasdt0(_145592, _145590)), sdtasdt0(sdtasasdt0(_145592, _145592), sdtasasdt0(_145590, _145590))))], (744 ^ _124954) ^ [] : [-(xS = sdtasdt0(xF, xD))], (10 ^ _124954) ^ [_125389, _125391, _125393] : [-(_125393 = _125389), _125393 = _125391, _125391 = _125389], (271 ^ _124954) ^ [_133672, _133674, _133676] : [282 ^ _124954 : [(283 ^ _124954) ^ [] : [-(sdtpldt0(sdtpldt0(_133676, _133674), _133672) = sdtpldt0(_133676, sdtpldt0(_133674, _133672)))], (285 ^ _124954) ^ [] : [-(sdtpldt0(_133676, _133674) = sdtpldt0(_133674, _133676))], (289 ^ _124954) ^ [] : [-(sdtasdt0(_133676, _133674) = sdtasdt0(_133674, _133676))], (287 ^ _124954) ^ [] : [-(sdtasdt0(sdtasdt0(_133676, _133674), _133672) = sdtasdt0(_133676, sdtasdt0(_133674, _133672)))]], aScalar0(_133676), aScalar0(_133674), aScalar0(_133672)], (694 ^ _124954) ^ [] : [-(aVector0(xp))], (110 ^ _124954) ^ [_128623, _128625] : [_128625 = _128623, -(aDimensionOf0(_128625) = aDimensionOf0(_128623))], (371 ^ _124954) ^ [_136882, _136884] : [aScalar0(_136884), aScalar0(_136882), -(_136884 = _136882), sdtlseqdt0(_136884, _136882), sdtlseqdt0(_136882, _136884)], (692 ^ _124954) ^ [] : [aDimensionOf0(xs) = sz00], (389 ^ _124954) ^ [_137371, _137373, _137375] : [aScalar0(_137375), aScalar0(_137373), aScalar0(_137371), -(sdtlseqdt0(_137375, _137371)), sdtlseqdt0(_137375, _137373), sdtlseqdt0(_137373, _137371)], (722 ^ _124954) ^ [] : [-(aScalar0(xF))], (411 ^ _124954) ^ [_137985, _137987, _137989, _137991] : [-(sdtlseqdt0(sdtpldt0(_137991, _137987), sdtpldt0(_137989, _137985))), sdtlseqdt0(_137991, _137989), sdtlseqdt0(_137987, _137985), aScalar0(_137991), aScalar0(_137989), aScalar0(_137987), aScalar0(_137985)], (708 ^ _124954) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (365 ^ _124954) ^ [_136680] : [aScalar0(_136680), -(sdtlseqdt0(_136680, _136680))], (501 ^ _124954) ^ [_140477] : [aScalar0(_140477), -(sdtlseqdt0(sz0z00, sdtasdt0(_140477, _140477)))], (54 ^ _124954) ^ [_126736, _126738] : [-(aScalar0(_126736)), _126738 = _126736, aScalar0(_126738)], (84 ^ _124954) ^ [_127715, _127717, _127719, _127721] : [-(sdtpldt0(_127721, _127717) = sdtpldt0(_127719, _127715)), _127721 = _127719, _127717 = _127715], (126 ^ _124954) ^ [_129228, _129230, _129232, _129234] : [-(sdtasdt0(_129234, _129230) = sdtasdt0(_129232, _129228)), _129234 = _129232, _129230 = _129228], (235 ^ _124954) ^ [_132430, _132432] : [-(aScalar0(sdtasdt0(_132432, _132430))), aScalar0(_132432), aScalar0(_132430)], (704 ^ _124954) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (116 ^ _124954) ^ [_128869, _128871, _128873, _128875] : [-(sdtasasdt0(_128875, _128871) = sdtasasdt0(_128873, _128869)), _128875 = _128873, _128871 = _128869], (325 ^ _124954) ^ [_135509, _135511] : [332 ^ _124954 : [(335 ^ _124954) ^ [] : [-(sdtasdt0(smndt0(_135511), _135509) = smndt0(sdtasdt0(_135511, _135509)))], (333 ^ _124954) ^ [] : [-(sdtasdt0(_135511, smndt0(_135509)) = smndt0(sdtasdt0(_135511, _135509)))]], aScalar0(_135511), aScalar0(_135509)], (662 ^ _124954) ^ [_145274] : [aVector0(_145274), -(sdtlseqdt0(sz0z00, sdtasasdt0(_145274, _145274)))], (712 ^ _124954) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (720 ^ _124954) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (740 ^ _124954) ^ [] : [-(xP = sdtasdt0(xE, xH))], (738 ^ _124954) ^ [] : [-(aScalar0(xP))], (690 ^ _124954) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (347 ^ _124954) ^ [_136234, _136236] : [aScalar0(_136236), aScalar0(_136234), sdtlseqdt0(_136236, _136234), true___, -(true___)], (100 ^ _124954) ^ [_128292, _128294, _128296, _128298] : [-(sdtlbdtrb0(_128298, _128294) = sdtlbdtrb0(_128296, _128292)), _128298 = _128296, _128294 = _128292], (154 ^ _124954) ^ [_130081] : [aNaturalNumber0(_130081), 157 ^ _124954 : [(160 ^ _124954) ^ [] : [szszuzczcdt0(_130081) = sz00], (158 ^ _124954) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_130081)))]]], (175 ^ _124954) ^ [_130777, _130779] : [aNaturalNumber0(_130779), aNaturalNumber0(_130777), szszuzczcdt0(_130779) = szszuzczcdt0(_130777), -(_130779 = _130777)], (742 ^ _124954) ^ [] : [-(aScalar0(xS))], (507 ^ _124954) ^ [_140685, _140687] : [aScalar0(_140687), aScalar0(_140685), -(_140687 = _140685), sdtlseqdt0(sz0z00, _140687), sdtlseqdt0(sz0z00, _140685), sdtasdt0(_140687, _140687) = sdtasdt0(_140685, _140685)], (20 ^ _124954) ^ [_125702, _125704] : [-(aNaturalNumber0(_125702)), _125704 = _125702, aNaturalNumber0(_125704)], (612 ^ _124954) ^ [_143855, _143857] : [aVector0(_143857), aVector0(_143855), aDimensionOf0(_143857) = aDimensionOf0(_143855), -(aScalar0(sdtasasdt0(_143857, _143855)))], (716 ^ _124954) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (4 ^ _124954) ^ [_125185, _125187] : [_125187 = _125185, -(_125185 = _125187)], (94 ^ _124954) ^ [_128046, _128048] : [_128048 = _128046, -(sziznziztdt0(_128048) = sziznziztdt0(_128046))], (718 ^ _124954) ^ [] : [-(aScalar0(xE))], (64 ^ _124954) ^ [_127039, _127041, _127043, _127045] : [-(sdtlseqdt0(_127043, _127039)), sdtlseqdt0(_127045, _127041), _127045 = _127043, _127041 = _127039], (539 ^ _124954) ^ [_141502] : [aVector0(_141502), -(aNaturalNumber0(aDimensionOf0(_141502)))], (307 ^ _124954) ^ [_134944, _134946, _134948, _134950] : [-(sdtasdt0(sdtpldt0(_134950, _134948), sdtpldt0(_134946, _134944)) = sdtpldt0(sdtpldt0(sdtasdt0(_134950, _134946), sdtasdt0(_134950, _134944)), sdtpldt0(sdtasdt0(_134948, _134946), sdtasdt0(_134948, _134944)))), aScalar0(_134950), aScalar0(_134948), aScalar0(_134946), aScalar0(_134944)], (225 ^ _124954) ^ [_132131, _132133] : [-(aScalar0(sdtpldt0(_132133, _132131))), aScalar0(_132133), aScalar0(_132131)], (668 ^ _124954) ^ [] : [-(aVector0(xs))], (696 ^ _124954) ^ [] : [-(xp = sziznziztdt0(xs))], (644 ^ _124954) ^ [_144746, _144748] : [aVector0(_144748), aVector0(_144746), -(sdtasasdt0(_144748, _144746) = sdtpldt0(sdtasasdt0(sziznziztdt0(_144748), sziznziztdt0(_144746)), sdtasdt0(sdtlbdtrb0(_144748, aDimensionOf0(_144748)), sdtlbdtrb0(_144746, aDimensionOf0(_144746))))), aDimensionOf0(_144748) = aDimensionOf0(_144746), -(aDimensionOf0(_144746) = sz00)], (736 ^ _124954) ^ [] : [-(xR = sdtasdt0(xC, xG))], (752 ^ _124954) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (162 ^ _124954) ^ [_130349] : [170 ^ _124954 : [(173 ^ _124954) ^ [] : [-(_130349 = szszuzczcdt0(169 ^ [_130349]))], (171 ^ _124954) ^ [] : [-(aNaturalNumber0(169 ^ [_130349]))]], aNaturalNumber0(_130349), -(_130349 = sz00)], (142 ^ _124954) ^ [_129773] : [aNaturalNumber0(_129773), true___, -(true___)], (734 ^ _124954) ^ [] : [-(aScalar0(xR))], (728 ^ _124954) ^ [] : [-(xG = sdtasdt0(xB, xB))], (437 ^ _124954) ^ [_138728, _138730, _138732, _138734] : [aScalar0(_138734), aScalar0(_138732), aScalar0(_138730), aScalar0(_138728), -(sdtlseqdt0(sdtasdt0(_138734, _138730), sdtasdt0(_138732, _138728))), sdtlseqdt0(_138734, _138732), sdtlseqdt0(sz0z00, _138730), sdtlseqdt0(_138730, _138728)], (700 ^ _124954) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _124954) ^ [] : [-(aScalar0(xC))], (730 ^ _124954) ^ [] : [-(aScalar0(xH))], (726 ^ _124954) ^ [] : [-(aScalar0(xG))], (748 ^ _124954) ^ [] : [-(xN = sdtasdt0(xR, xS))], (2 ^ _124954) ^ [_125078] : [-(_125078 = _125078)], (724 ^ _124954) ^ [] : [-(xF = sdtasdt0(xA, xA))], (291 ^ _124954) ^ [_134383, _134385, _134387] : [302 ^ _124954 : [(305 ^ _124954) ^ [] : [-(sdtasdt0(sdtpldt0(_134387, _134385), _134383) = sdtpldt0(sdtasdt0(_134387, _134383), sdtasdt0(_134385, _134383)))], (303 ^ _124954) ^ [] : [-(sdtasdt0(_134387, sdtpldt0(_134385, _134383)) = sdtpldt0(sdtasdt0(_134387, _134385), sdtasdt0(_134387, _134383)))]], aScalar0(_134387), aScalar0(_134385), aScalar0(_134383)], (750 ^ _124954) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (78 ^ _124954) ^ [_127469, _127471] : [_127471 = _127469, -(szszuzczcdt0(_127471) = szszuzczcdt0(_127469))], (245 ^ _124954) ^ [_132715] : [aScalar0(_132715), -(aScalar0(smndt0(_132715)))], (189 ^ _124954) ^ [_131171, _131173] : [aNaturalNumber0(_131173), aNaturalNumber0(_131171), iLess0(_131173, _131171), true___, -(true___)], (702 ^ _124954) ^ [] : [-(aScalar0(xA))], (136 ^ _124954) ^ [_129539, _129541] : [_129541 = _129539, -(smndt0(_129541) = smndt0(_129539))], (207 ^ _124954) ^ [_131617] : [aNaturalNumber0(_131617), -(iLess0(_131617, szszuzczcdt0(_131617)))], (251 ^ _124954) ^ [_132905] : [aScalar0(_132905), 254 ^ _124954 : [(269 ^ _124954) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (263 ^ _124954) ^ [] : [-(sdtpldt0(_132905, smndt0(_132905)) = sz0z00)], (265 ^ _124954) ^ [] : [-(sdtpldt0(smndt0(_132905), _132905) = sz0z00)], (267 ^ _124954) ^ [] : [-(smndt0(smndt0(_132905)) = _132905)], (259 ^ _124954) ^ [] : [-(sdtasdt0(_132905, sz0z00) = sz0z00)], (257 ^ _124954) ^ [] : [-(sdtpldt0(sz0z00, _132905) = _132905)], (255 ^ _124954) ^ [] : [-(sdtpldt0(_132905, sz0z00) = _132905)], (261 ^ _124954) ^ [] : [-(sdtasdt0(sz0z00, _132905) = sz0z00)]]], (337 ^ _124954) ^ [_135919, _135921] : [-(sdtasdt0(smndt0(_135921), smndt0(_135919)) = sdtasdt0(_135921, _135919)), aScalar0(_135921), aScalar0(_135919)], (545 ^ _124954) ^ [_141706, _141708] : [-(aScalar0(sdtlbdtrb0(_141708, _141706))), aVector0(_141708), aNaturalNumber0(_141706)], (555 ^ _124954) ^ [_141991] : [aVector0(_141991), -(aDimensionOf0(_141991) = sz00), 562 ^ _124954 : [(577 ^ _124954) ^ [_142767] : [-(_142767 = sziznziztdt0(_141991)), aVector0(_142767), szszuzczcdt0(aDimensionOf0(_142767)) = aDimensionOf0(_141991), 587 ^ _124954 : [(590 ^ _124954) ^ [] : [sdtlbdtrb0(_142767, 586 ^ [_141991, _142767]) = sdtlbdtrb0(_141991, 586 ^ [_141991, _142767])], (588 ^ _124954) ^ [] : [-(aNaturalNumber0(586 ^ [_141991, _142767]))]]], (563 ^ _124954) ^ [_142274] : [_142274 = sziznziztdt0(_141991), 566 ^ _124954 : [(569 ^ _124954) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_142274)) = aDimensionOf0(_141991))], (571 ^ _124954) ^ [_142576] : [aNaturalNumber0(_142576), -(sdtlbdtrb0(_142274, _142576) = sdtlbdtrb0(_141991, _142576))], (567 ^ _124954) ^ [] : [-(aVector0(_142274))]]]]], (529 ^ _124954) ^ [_141247] : [aVector0(_141247), true___, -(true___)], (467 ^ _124954) ^ [_139542, _139544] : [aScalar0(_139544), aScalar0(_139542), -(sdtlseqdt0(_139544, _139542)), -(sdtlseqdt0(_139542, _139544))], (706 ^ _124954) ^ [] : [-(aScalar0(xB))], (152 ^ _124954) ^ [] : [-(aNaturalNumber0(sz00))], (698 ^ _124954) ^ [] : [-(aVector0(xq))], (626 ^ _124954) ^ [_144253, _144255] : [aVector0(_144255), aVector0(_144253), -(sdtasasdt0(_144255, _144253) = sz0z00), aDimensionOf0(_144255) = aDimensionOf0(_144253), aDimensionOf0(_144253) = sz00], (481 ^ _124954) ^ [_139929, _139931] : [aScalar0(_139931), aScalar0(_139929), 496 ^ _124954 : [(499 ^ _124954) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_139931, _139929)))], (497 ^ _124954) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_139931, _139929)))]], sdtlseqdt0(sz0z00, _139931), sdtlseqdt0(sz0z00, _139929)], (732 ^ _124954) ^ [] : [-(xH = sdtasdt0(xA, xB))], (30 ^ _124954) ^ [_126025, _126027, _126029, _126031] : [-(iLess0(_126029, _126025)), iLess0(_126031, _126027), _126031 = _126029, _126027 = _126025], (670 ^ _124954) ^ [] : [-(aVector0(xt))], (714 ^ _124954) ^ [] : [-(aScalar0(xD))], (213 ^ _124954) ^ [_131809] : [aScalar0(_131809), true___, -(true___)], (44 ^ _124954) ^ [_126441, _126443] : [-(aVector0(_126441)), _126443 = _126441, aVector0(_126443)], (746 ^ _124954) ^ [] : [-(aScalar0(xN))]], input).
% 221.09/214.28 ncf('1',plain,[sdtasdt0(smndt0(xS), xR) = smndt0(xN)],start(754 ^ 0)).
% 221.09/214.28 ncf('1.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(xN)), sdtasdt0(smndt0(xS), xR) = sdtasdt0(xR, smndt0(xS)), sdtasdt0(xR, smndt0(xS)) = smndt0(xN)],extension(10 ^ 1,bind([[_125389, _125391, _125393], [smndt0(xN), sdtasdt0(xR, smndt0(xS)), sdtasdt0(smndt0(xS), xR)]]))).
% 221.09/214.28 ncf('1.1.1',plain,[-(sdtasdt0(smndt0(xS), xR) = sdtasdt0(xR, smndt0(xS))), aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(sz0z00)],extension(271 ^ 2,bind([[_133672, _133674, _133676], [sz0z00, xR, smndt0(xS)]]))).
% 221.09/214.28 ncf('1.1.1.1',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(245 ^ 3,bind([[_132715], [xS]]))).
% 221.09/214.28 ncf('1.1.1.1.1',plain,[-(aScalar0(xS)), sdtasdt0(xF, xD) = xS, aScalar0(sdtasdt0(xF, xD))],extension(54 ^ 4,bind([[_126736, _126738], [xS, sdtasdt0(xF, xD)]]))).
% 221.09/214.28 ncf('1.1.1.1.1.1',plain,[-(sdtasdt0(xF, xD) = xS), xS = sdtasdt0(xF, xD)],extension(4 ^ 5,bind([[_125185, _125187], [sdtasdt0(xF, xD), xS]]))).
% 221.09/214.28 ncf('1.1.1.1.1.1.1',plain,[-(xS = sdtasdt0(xF, xD))],extension(744 ^ 6)).
% 221.09/214.28 ncf('1.1.1.1.1.2',plain,[-(aScalar0(sdtasdt0(xF, xD))), aScalar0(xF), aScalar0(xD)],extension(235 ^ 5,bind([[_132430, _132432], [xD, xF]]))).
% 221.09/214.28 ncf('1.1.1.1.1.2.1',plain,[-(aScalar0(xF))],extension(722 ^ 6)).
% 221.09/214.28 ncf('1.1.1.1.1.2.2',plain,[-(aScalar0(xD))],extension(714 ^ 6)).
% 221.09/214.28 ncf('1.1.1.2',plain,[-(aScalar0(xR)), sdtasdt0(xC, xG) = xR, aScalar0(sdtasdt0(xC, xG))],extension(54 ^ 3,bind([[_126736, _126738], [xR, sdtasdt0(xC, xG)]]))).
% 221.09/214.28 ncf('1.1.1.2.1',plain,[-(sdtasdt0(xC, xG) = xR), xR = sdtasdt0(xC, xG)],extension(4 ^ 4,bind([[_125185, _125187], [sdtasdt0(xC, xG), xR]]))).
% 221.09/214.28 ncf('1.1.1.2.1.1',plain,[-(xR = sdtasdt0(xC, xG))],extension(736 ^ 5)).
% 221.09/214.28 ncf('1.1.1.2.2',plain,[-(aScalar0(sdtasdt0(xC, xG))), sdtasdt0(xG, xC) = sdtasdt0(xC, xG), aScalar0(sdtasdt0(xG, xC))],extension(54 ^ 4,bind([[_126736, _126738], [sdtasdt0(xC, xG), sdtasdt0(xG, xC)]]))).
% 221.09/214.28 ncf('1.1.1.2.2.1',plain,[-(sdtasdt0(xG, xC) = sdtasdt0(xC, xG)), aScalar0(xG), aScalar0(xC), aScalar0(sz0z00)],extension(271 ^ 5,bind([[_133672, _133674, _133676], [sz0z00, xC, xG]]))).
% 221.09/214.28 ncf('1.1.1.2.2.1.1',plain,[-(aScalar0(xG))],extension(726 ^ 6)).
% 221.09/214.28 ncf('1.1.1.2.2.1.2',plain,[-(aScalar0(xC))],extension(710 ^ 6)).
% 221.09/214.28 ncf('1.1.1.2.2.1.3',plain,[-(aScalar0(sz0z00))],extension(223 ^ 6)).
% 221.09/214.28 ncf('1.1.1.2.2.2',plain,[-(aScalar0(sdtasdt0(xG, xC))), aScalar0(xG), aScalar0(xC)],extension(235 ^ 5,bind([[_132430, _132432], [xC, xG]]))).
% 221.09/214.28 ncf('1.1.1.2.2.2.1',plain,[-(aScalar0(xG))],extension(726 ^ 6)).
% 221.09/214.28 ncf('1.1.1.2.2.2.2',plain,[-(aScalar0(xC))],extension(710 ^ 6)).
% 221.09/214.28 ncf('1.1.1.3',plain,[-(aScalar0(sz0z00))],extension(223 ^ 3)).
% 221.09/214.28 ncf('1.1.2',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN)), sdtasdt0(xR, smndt0(xS)) = sdtasdt0(smndt0(xR), xS), sdtasdt0(smndt0(xR), xS) = smndt0(xN)],extension(10 ^ 2,bind([[_125389, _125391, _125393], [smndt0(xN), sdtasdt0(smndt0(xR), xS), sdtasdt0(xR, smndt0(xS))]]))).
% 221.09/214.28 ncf('1.1.2.1',plain,[-(sdtasdt0(xR, smndt0(xS)) = sdtasdt0(smndt0(xR), xS)), sdtasdt0(xR, smndt0(xS)) = smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)) = sdtasdt0(smndt0(xR), xS)],extension(10 ^ 3,bind([[_125389, _125391, _125393], [sdtasdt0(smndt0(xR), xS), smndt0(sdtasdt0(xR, xS)), sdtasdt0(xR, smndt0(xS))]]))).
% 221.09/214.28 ncf('1.1.2.1.1',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(sdtasdt0(xR, xS))), sdtasdt0(xR, smndt0(xS)) = smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)) = smndt0(sdtasdt0(xR, xS))],extension(10 ^ 4,bind([[_125389, _125391, _125393], [smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)), sdtasdt0(xR, smndt0(xS))]]))).
% 221.09/214.28 ncf('1.1.2.1.1.1',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(sdtasdt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(325 ^ 5,bind([[_135509, _135511], [xS, xR]]))).
% 221.09/214.28 ncf('1.1.2.1.1.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 6)).
% 221.09/214.28 ncf('1.1.2.1.1.1.2',plain,[-(aScalar0(xS))],extension(742 ^ 6)).
% 221.09/214.28 ncf('1.1.2.1.1.2',plain,[-(smndt0(sdtasdt0(xR, xS)) = smndt0(sdtasdt0(xR, xS)))],extension(2 ^ 5,bind([[_125078], [smndt0(sdtasdt0(xR, xS))]]))).
% 221.09/214.28 ncf('1.1.2.1.2',plain,[-(smndt0(sdtasdt0(xR, xS)) = sdtasdt0(smndt0(xR), xS)), sdtasdt0(smndt0(xR), xS) = smndt0(sdtasdt0(xR, xS))],extension(4 ^ 4,bind([[_125185, _125187], [smndt0(sdtasdt0(xR, xS)), sdtasdt0(smndt0(xR), xS)]]))).
% 221.09/214.28 ncf('1.1.2.1.2.1',plain,[-(sdtasdt0(smndt0(xR), xS) = smndt0(sdtasdt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(325 ^ 5,bind([[_135509, _135511], [xS, xR]]))).
% 221.09/214.28 ncf('1.1.2.1.2.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 6)).
% 221.09/214.28 ncf('1.1.2.1.2.1.2',plain,[-(aScalar0(xS))],extension(742 ^ 6)).
% 221.09/214.28 ncf('1.1.2.2',plain,[-(sdtasdt0(smndt0(xR), xS) = smndt0(xN)), sdtasdt0(smndt0(xR), xS) = smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)) = smndt0(xN)],extension(10 ^ 3,bind([[_125389, _125391, _125393], [smndt0(xN), smndt0(sdtasdt0(xR, xS)), sdtasdt0(smndt0(xR), xS)]]))).
% 221.09/214.28 ncf('1.1.2.2.1',plain,[-(sdtasdt0(smndt0(xR), xS) = smndt0(sdtasdt0(xR, xS))), sdtasdt0(smndt0(xR), xS) = smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)) = smndt0(sdtasdt0(xR, xS))],extension(10 ^ 4,bind([[_125389, _125391, _125393], [smndt0(sdtasdt0(xR, xS)), smndt0(sdtasdt0(xR, xS)), sdtasdt0(smndt0(xR), xS)]]))).
% 221.09/214.28 ncf('1.1.2.2.1.1',plain,[-(sdtasdt0(smndt0(xR), xS) = smndt0(sdtasdt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(325 ^ 5,bind([[_135509, _135511], [xS, xR]]))).
% 221.09/214.28 ncf('1.1.2.2.1.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 6)).
% 221.09/214.28 ncf('1.1.2.2.1.1.2',plain,[-(aScalar0(xS))],extension(742 ^ 6)).
% 221.09/214.28 ncf('1.1.2.2.1.2',plain,[-(smndt0(sdtasdt0(xR, xS)) = smndt0(sdtasdt0(xR, xS)))],extension(2 ^ 5,bind([[_125078], [smndt0(sdtasdt0(xR, xS))]]))).
% 221.09/214.28 ncf('1.1.2.2.2',plain,[-(smndt0(sdtasdt0(xR, xS)) = smndt0(xN)), smndt0(xN) = smndt0(sdtasdt0(xR, xS))],extension(4 ^ 4,bind([[_125185, _125187], [smndt0(sdtasdt0(xR, xS)), smndt0(xN)]]))).
% 221.09/214.28 ncf('1.1.2.2.2.1',plain,[-(smndt0(xN) = smndt0(sdtasdt0(xR, xS))), xN = sdtasdt0(xR, xS)],extension(136 ^ 5,bind([[_129539, _129541], [sdtasdt0(xR, xS), xN]]))).
% 221.09/214.28 ncf('1.1.2.2.2.1.1',plain,[-(xN = sdtasdt0(xR, xS))],extension(748 ^ 6)).
% 221.09/214.28 %-----------------------------------------------------
% 221.09/214.28 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------