TSTP Solution File: RNG077+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n029.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 11:49:46 EDT 2023
% Result : Theorem 265.36s 256.78s
% Output : Proof 265.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG077+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n029.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 20:46:43 EDT 2023
% 0.13/0.34 % CPUTime :
% 265.36/256.78
% 265.36/256.78 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 265.36/256.78 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 265.36/256.78 %-----------------------------------------------------
% 265.36/256.78 ncf(matrix, plain, [(106 ^ _120375) ^ [_123923, _123925] : [_123925 = _123923, -(aDimensionOf0(_123925) = aDimensionOf0(_123923))], (271 ^ _120375) ^ [_129113, _129115, _129117] : [282 ^ _120375 : [(283 ^ _120375) ^ [] : [-(sdtpldt0(sdtpldt0(_129117, _129115), _129113) = sdtpldt0(_129117, sdtpldt0(_129115, _129113)))], (285 ^ _120375) ^ [] : [-(sdtpldt0(_129117, _129115) = sdtpldt0(_129115, _129117))], (287 ^ _120375) ^ [] : [-(sdtasdt0(sdtasdt0(_129117, _129115), _129113) = sdtasdt0(_129117, sdtasdt0(_129115, _129113)))], (289 ^ _120375) ^ [] : [-(sdtasdt0(_129117, _129115) = sdtasdt0(_129115, _129117))]], aScalar0(_129117), aScalar0(_129115), aScalar0(_129113)], (744 ^ _120375) ^ [] : [-(xS = sdtasdt0(xF, xD))], (213 ^ _120375) ^ [_127250] : [aScalar0(_127250), true___, -(true___)], (672 ^ _120375) ^ [_141031, _141033] : [aVector0(_141033), aVector0(_141031), aDimensionOf0(_141033) = aDimensionOf0(_141031), iLess0(aDimensionOf0(_141033), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_141033, _141031), sdtasasdt0(_141033, _141031)), sdtasdt0(sdtasasdt0(_141033, _141033), sdtasasdt0(_141031, _141031))))], (714 ^ _120375) ^ [] : [-(aScalar0(xD))], (670 ^ _120375) ^ [] : [-(aVector0(xt))], (162 ^ _120375) ^ [_125790] : [170 ^ _120375 : [(171 ^ _120375) ^ [] : [-(aNaturalNumber0(169 ^ [_125790]))], (173 ^ _120375) ^ [] : [-(_125790 = szszuzczcdt0(169 ^ [_125790]))]], aNaturalNumber0(_125790), -(_125790 = sz00)], (225 ^ _120375) ^ [_127572, _127574] : [-(aScalar0(sdtpldt0(_127574, _127572))), aScalar0(_127574), aScalar0(_127572)], (54 ^ _120375) ^ [_122177, _122179] : [-(aScalar0(_122177)), _122179 = _122177, aScalar0(_122179)], (716 ^ _120375) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (90 ^ _120375) ^ [_123346, _123348] : [_123348 = _123346, -(sziznziztdt0(_123348) = sziznziztdt0(_123346))], (748 ^ _120375) ^ [] : [-(xN = sdtasdt0(xR, xS))], (307 ^ _120375) ^ [_130385, _130387, _130389, _130391] : [-(sdtasdt0(sdtpldt0(_130391, _130389), sdtpldt0(_130387, _130385)) = sdtpldt0(sdtpldt0(sdtasdt0(_130391, _130387), sdtasdt0(_130391, _130385)), sdtpldt0(sdtasdt0(_130389, _130387), sdtasdt0(_130389, _130385)))), aScalar0(_130391), aScalar0(_130389), aScalar0(_130387), aScalar0(_130385)], (251 ^ _120375) ^ [_128346] : [aScalar0(_128346), 254 ^ _120375 : [(257 ^ _120375) ^ [] : [-(sdtpldt0(sz0z00, _128346) = _128346)], (267 ^ _120375) ^ [] : [-(smndt0(smndt0(_128346)) = _128346)], (265 ^ _120375) ^ [] : [-(sdtpldt0(smndt0(_128346), _128346) = sz0z00)], (255 ^ _120375) ^ [] : [-(sdtpldt0(_128346, sz0z00) = _128346)], (269 ^ _120375) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (259 ^ _120375) ^ [] : [-(sdtasdt0(_128346, sz0z00) = sz0z00)], (261 ^ _120375) ^ [] : [-(sdtasdt0(sz0z00, _128346) = sz0z00)], (263 ^ _120375) ^ [] : [-(sdtpldt0(_128346, smndt0(_128346)) = sz0z00)]]], (481 ^ _120375) ^ [_135370, _135372] : [aScalar0(_135372), aScalar0(_135370), 496 ^ _120375 : [(497 ^ _120375) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_135372, _135370)))], (499 ^ _120375) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_135372, _135370)))]], sdtlseqdt0(sz0z00, _135372), sdtlseqdt0(sz0z00, _135370)], (371 ^ _120375) ^ [_132323, _132325] : [aScalar0(_132325), aScalar0(_132323), -(_132325 = _132323), sdtlseqdt0(_132325, _132323), sdtlseqdt0(_132323, _132325)], (718 ^ _120375) ^ [] : [-(aScalar0(xE))], (730 ^ _120375) ^ [] : [-(aScalar0(xH))], (746 ^ _120375) ^ [] : [-(aScalar0(xN))], (722 ^ _120375) ^ [] : [-(aScalar0(xF))], (10 ^ _120375) ^ [_120830, _120832, _120834] : [-(_120834 = _120830), _120834 = _120832, _120832 = _120830], (740 ^ _120375) ^ [] : [-(xP = sdtasdt0(xE, xH))], (122 ^ _120375) ^ [_124528, _124530, _124532, _124534] : [-(sdtpldt0(_124534, _124530) = sdtpldt0(_124532, _124528)), _124534 = _124532, _124530 = _124528], (696 ^ _120375) ^ [] : [-(xp = sziznziztdt0(xs))], (690 ^ _120375) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (142 ^ _120375) ^ [_125214] : [aNaturalNumber0(_125214), true___, -(true___)], (337 ^ _120375) ^ [_131360, _131362] : [-(sdtasdt0(smndt0(_131362), smndt0(_131360)) = sdtasdt0(_131362, _131360)), aScalar0(_131362), aScalar0(_131360)], (347 ^ _120375) ^ [_131675, _131677] : [aScalar0(_131677), aScalar0(_131675), sdtlseqdt0(_131677, _131675), true___, -(true___)], (708 ^ _120375) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (44 ^ _120375) ^ [_121882, _121884] : [-(aVector0(_121882)), _121884 = _121882, aVector0(_121884)], (612 ^ _120375) ^ [_139296, _139298] : [aVector0(_139298), aVector0(_139296), aDimensionOf0(_139298) = aDimensionOf0(_139296), -(aScalar0(sdtasasdt0(_139298, _139296)))], (724 ^ _120375) ^ [] : [-(xF = sdtasdt0(xA, xA))], (555 ^ _120375) ^ [_137432] : [aVector0(_137432), -(aDimensionOf0(_137432) = sz00), 562 ^ _120375 : [(563 ^ _120375) ^ [_137715] : [_137715 = sziznziztdt0(_137432), 566 ^ _120375 : [(569 ^ _120375) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_137715)) = aDimensionOf0(_137432))], (571 ^ _120375) ^ [_138017] : [aNaturalNumber0(_138017), -(sdtlbdtrb0(_137715, _138017) = sdtlbdtrb0(_137432, _138017))], (567 ^ _120375) ^ [] : [-(aVector0(_137715))]]], (577 ^ _120375) ^ [_138208] : [-(_138208 = sziznziztdt0(_137432)), aVector0(_138208), szszuzczcdt0(aDimensionOf0(_138208)) = aDimensionOf0(_137432), 587 ^ _120375 : [(588 ^ _120375) ^ [] : [-(aNaturalNumber0(586 ^ [_137432, _138208]))], (590 ^ _120375) ^ [] : [sdtlbdtrb0(_138208, 586 ^ [_137432, _138208]) = sdtlbdtrb0(_137432, 586 ^ [_137432, _138208])]]]]], (662 ^ _120375) ^ [_140715] : [aVector0(_140715), -(sdtlseqdt0(sz0z00, sdtasasdt0(_140715, _140715)))], (4 ^ _120375) ^ [_120626, _120628] : [_120628 = _120626, -(_120626 = _120628)], (389 ^ _120375) ^ [_132812, _132814, _132816] : [aScalar0(_132816), aScalar0(_132814), aScalar0(_132812), -(sdtlseqdt0(_132816, _132812)), sdtlseqdt0(_132816, _132814), sdtlseqdt0(_132814, _132812)], (291 ^ _120375) ^ [_129824, _129826, _129828] : [302 ^ _120375 : [(303 ^ _120375) ^ [] : [-(sdtasdt0(_129828, sdtpldt0(_129826, _129824)) = sdtpldt0(sdtasdt0(_129828, _129826), sdtasdt0(_129828, _129824)))], (305 ^ _120375) ^ [] : [-(sdtasdt0(sdtpldt0(_129828, _129826), _129824) = sdtpldt0(sdtasdt0(_129828, _129824), sdtasdt0(_129826, _129824)))]], aScalar0(_129828), aScalar0(_129826), aScalar0(_129824)], (738 ^ _120375) ^ [] : [-(aScalar0(xP))], (223 ^ _120375) ^ [] : [-(aScalar0(sz0z00))], (325 ^ _120375) ^ [_130950, _130952] : [332 ^ _120375 : [(333 ^ _120375) ^ [] : [-(sdtasdt0(_130952, smndt0(_130950)) = smndt0(sdtasdt0(_130952, _130950)))], (335 ^ _120375) ^ [] : [-(sdtasdt0(smndt0(_130952), _130950) = smndt0(sdtasdt0(_130952, _130950)))]], aScalar0(_130952), aScalar0(_130950)], (411 ^ _120375) ^ [_133426, _133428, _133430, _133432] : [-(sdtlseqdt0(sdtpldt0(_133432, _133428), sdtpldt0(_133430, _133426))), sdtlseqdt0(_133432, _133430), sdtlseqdt0(_133428, _133426), aScalar0(_133432), aScalar0(_133430), aScalar0(_133428), aScalar0(_133426)], (734 ^ _120375) ^ [] : [-(aScalar0(xR))], (245 ^ _120375) ^ [_128156] : [aScalar0(_128156), -(aScalar0(smndt0(_128156)))], (365 ^ _120375) ^ [_132121] : [aScalar0(_132121), -(sdtlseqdt0(_132121, _132121))], (728 ^ _120375) ^ [] : [-(xG = sdtasdt0(xB, xB))], (96 ^ _120375) ^ [_123592, _123594, _123596, _123598] : [-(sdtlbdtrb0(_123598, _123594) = sdtlbdtrb0(_123596, _123592)), _123598 = _123596, _123594 = _123592], (207 ^ _120375) ^ [_127058] : [aNaturalNumber0(_127058), -(iLess0(_127058, szszuzczcdt0(_127058)))], (539 ^ _120375) ^ [_136943] : [aVector0(_136943), -(aNaturalNumber0(aDimensionOf0(_136943)))], (545 ^ _120375) ^ [_137147, _137149] : [-(aScalar0(sdtlbdtrb0(_137149, _137147))), aVector0(_137149), aNaturalNumber0(_137147)], (750 ^ _120375) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (175 ^ _120375) ^ [_126218, _126220] : [aNaturalNumber0(_126220), aNaturalNumber0(_126218), szszuzczcdt0(_126220) = szszuzczcdt0(_126218), -(_126220 = _126218)], (754 ^ _120375) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))))], (756 ^ _120375) ^ [] : [sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))], (235 ^ _120375) ^ [_127871, _127873] : [-(aScalar0(sdtasdt0(_127873, _127871))), aScalar0(_127873), aScalar0(_127871)], (706 ^ _120375) ^ [] : [-(aScalar0(xB))], (467 ^ _120375) ^ [_134983, _134985] : [aScalar0(_134985), aScalar0(_134983), -(sdtlseqdt0(_134985, _134983)), -(sdtlseqdt0(_134983, _134985))], (742 ^ _120375) ^ [] : [-(aScalar0(xS))], (668 ^ _120375) ^ [] : [-(aVector0(xs))], (736 ^ _120375) ^ [] : [-(xR = sdtasdt0(xC, xG))], (752 ^ _120375) ^ [] : [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], (154 ^ _120375) ^ [_125522] : [aNaturalNumber0(_125522), 157 ^ _120375 : [(158 ^ _120375) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_125522)))], (160 ^ _120375) ^ [] : [szszuzczcdt0(_125522) = sz00]]], (507 ^ _120375) ^ [_136126, _136128] : [aScalar0(_136128), aScalar0(_136126), -(_136128 = _136126), sdtlseqdt0(sz0z00, _136128), sdtlseqdt0(sz0z00, _136126), sdtasdt0(_136128, _136128) = sdtasdt0(_136126, _136126)], (501 ^ _120375) ^ [_135918] : [aScalar0(_135918), -(sdtlseqdt0(sz0z00, sdtasdt0(_135918, _135918)))], (692 ^ _120375) ^ [] : [aDimensionOf0(xs) = sz00], (712 ^ _120375) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (698 ^ _120375) ^ [] : [-(aVector0(xq))], (710 ^ _120375) ^ [] : [-(aScalar0(xC))], (726 ^ _120375) ^ [] : [-(aScalar0(xG))], (30 ^ _120375) ^ [_121466, _121468, _121470, _121472] : [-(iLess0(_121470, _121466)), iLess0(_121472, _121468), _121472 = _121470, _121468 = _121466], (152 ^ _120375) ^ [] : [-(aNaturalNumber0(sz00))], (702 ^ _120375) ^ [] : [-(aScalar0(xA))], (2 ^ _120375) ^ [_120519] : [-(_120519 = _120519)], (694 ^ _120375) ^ [] : [-(aVector0(xp))], (594 ^ _120375) ^ [_138790, _138792] : [aVector0(_138792), aVector0(_138790), -(aDimensionOf0(sziznziztdt0(_138792)) = aDimensionOf0(sziznziztdt0(_138790))), aDimensionOf0(_138792) = aDimensionOf0(_138790), -(aDimensionOf0(_138790) = sz00)], (132 ^ _120375) ^ [_124867, _124869, _124871, _124873] : [-(sdtasdt0(_124873, _124869) = sdtasdt0(_124871, _124867)), _124873 = _124871, _124869 = _124867], (700 ^ _120375) ^ [] : [-(xq = sziznziztdt0(xt))], (64 ^ _120375) ^ [_122480, _122482, _122484, _122486] : [-(sdtlseqdt0(_122484, _122480)), sdtlseqdt0(_122486, _122482), _122486 = _122484, _122482 = _122480], (704 ^ _120375) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (84 ^ _120375) ^ [_123128, _123130] : [_123130 = _123128, -(szszuzczcdt0(_123130) = szszuzczcdt0(_123128))], (720 ^ _120375) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (437 ^ _120375) ^ [_134169, _134171, _134173, _134175] : [aScalar0(_134175), aScalar0(_134173), aScalar0(_134171), aScalar0(_134169), -(sdtlseqdt0(sdtasdt0(_134175, _134171), sdtasdt0(_134173, _134169))), sdtlseqdt0(_134175, _134173), sdtlseqdt0(sz0z00, _134171), sdtlseqdt0(_134171, _134169)], (529 ^ _120375) ^ [_136688] : [aVector0(_136688), true___, -(true___)], (189 ^ _120375) ^ [_126612, _126614] : [aNaturalNumber0(_126614), aNaturalNumber0(_126612), iLess0(_126614, _126612), true___, -(true___)], (644 ^ _120375) ^ [_140187, _140189] : [aVector0(_140189), aVector0(_140187), -(sdtasasdt0(_140189, _140187) = sdtpldt0(sdtasasdt0(sziznziztdt0(_140189), sziznziztdt0(_140187)), sdtasdt0(sdtlbdtrb0(_140189, aDimensionOf0(_140189)), sdtlbdtrb0(_140187, aDimensionOf0(_140187))))), aDimensionOf0(_140189) = aDimensionOf0(_140187), -(aDimensionOf0(_140187) = sz00)], (626 ^ _120375) ^ [_139694, _139696] : [aVector0(_139696), aVector0(_139694), -(sdtasasdt0(_139696, _139694) = sz0z00), aDimensionOf0(_139696) = aDimensionOf0(_139694), aDimensionOf0(_139694) = sz00], (20 ^ _120375) ^ [_121143, _121145] : [-(aNaturalNumber0(_121143)), _121145 = _121143, aNaturalNumber0(_121145)], (112 ^ _120375) ^ [_124169, _124171, _124173, _124175] : [-(sdtasasdt0(_124175, _124171) = sdtasasdt0(_124173, _124169)), _124175 = _124173, _124171 = _124169], (732 ^ _120375) ^ [] : [-(xH = sdtasdt0(xA, xB))], (78 ^ _120375) ^ [_122910, _122912] : [_122912 = _122910, -(smndt0(_122912) = smndt0(_122910))]], input).
% 265.36/256.78 ncf('1',plain,[sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))],start(756 ^ 0)).
% 265.36/256.78 ncf('1.1',plain,[-(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))), sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))],extension(10 ^ 1,bind([[_120830, _120832, _120834], [sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))]]))).
% 265.36/256.78 ncf('1.1.1',plain,[-(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH)))), aScalar0(xP), aScalar0(xP), aScalar0(sdtasdt0(xH, xH))],extension(271 ^ 2,bind([[_129113, _129115, _129117], [sdtasdt0(xH, xH), xP, xP]]))).
% 265.36/256.78 ncf('1.1.1.1',plain,[-(aScalar0(xP)), sdtasdt0(xE, xH) = xP, aScalar0(sdtasdt0(xE, xH))],extension(54 ^ 3,bind([[_122177, _122179], [xP, sdtasdt0(xE, xH)]]))).
% 265.36/256.78 ncf('1.1.1.1.1',plain,[-(sdtasdt0(xE, xH) = xP), xP = sdtasdt0(xE, xH)],extension(4 ^ 4,bind([[_120626, _120628], [sdtasdt0(xE, xH), xP]]))).
% 265.36/256.78 ncf('1.1.1.1.1.1',plain,[-(xP = sdtasdt0(xE, xH))],extension(740 ^ 5)).
% 265.36/256.78 ncf('1.1.1.1.2',plain,[-(aScalar0(sdtasdt0(xE, xH))), sdtasdt0(xH, xE) = sdtasdt0(xE, xH), aScalar0(sdtasdt0(xH, xE))],extension(54 ^ 4,bind([[_122177, _122179], [sdtasdt0(xE, xH), sdtasdt0(xH, xE)]]))).
% 265.36/256.78 ncf('1.1.1.1.2.1',plain,[-(sdtasdt0(xH, xE) = sdtasdt0(xE, xH)), aScalar0(xH), aScalar0(xE), aScalar0(xD)],extension(271 ^ 5,bind([[_129113, _129115, _129117], [xD, xE, xH]]))).
% 265.36/256.78 ncf('1.1.1.1.2.1.1',plain,[-(aScalar0(xH))],extension(730 ^ 6)).
% 265.36/256.78 ncf('1.1.1.1.2.1.2',plain,[-(aScalar0(xE))],extension(718 ^ 6)).
% 265.36/256.78 ncf('1.1.1.1.2.1.3',plain,[-(aScalar0(xD))],extension(714 ^ 6)).
% 265.36/256.78 ncf('1.1.1.1.2.2',plain,[-(aScalar0(sdtasdt0(xH, xE))), aScalar0(xH), aScalar0(xE)],extension(235 ^ 5,bind([[_127871, _127873], [xE, xH]]))).
% 265.36/256.78 ncf('1.1.1.1.2.2.1',plain,[-(aScalar0(xH))],extension(730 ^ 6)).
% 265.36/256.78 ncf('1.1.1.1.2.2.2',plain,[-(aScalar0(xE))],extension(718 ^ 6)).
% 265.36/256.78 ncf('1.1.1.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 265.36/256.78 ncf('1.1.1.3',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_127871, _127873], [xH, xH]]))).
% 265.36/256.78 ncf('1.1.1.3.1',plain,[-(aScalar0(xH)), sdtasdt0(xA, xB) = xH, aScalar0(sdtasdt0(xA, xB))],extension(54 ^ 4,bind([[_122177, _122179], [xH, sdtasdt0(xA, xB)]]))).
% 265.36/256.78 ncf('1.1.1.3.1.1',plain,[-(sdtasdt0(xA, xB) = xH), xH = sdtasdt0(xA, xB)],extension(4 ^ 5,bind([[_120626, _120628], [sdtasdt0(xA, xB), xH]]))).
% 265.36/256.78 ncf('1.1.1.3.1.1.1',plain,[-(xH = sdtasdt0(xA, xB))],extension(732 ^ 6)).
% 265.36/256.78 ncf('1.1.1.3.1.2',plain,[-(aScalar0(sdtasdt0(xA, xB))), aScalar0(xA), aScalar0(xB)],extension(235 ^ 5,bind([[_127871, _127873], [xB, xA]]))).
% 265.36/256.78 ncf('1.1.1.3.1.2.1',plain,[-(aScalar0(xA))],extension(702 ^ 6)).
% 265.36/256.78 ncf('1.1.1.3.1.2.2',plain,[-(aScalar0(xB))],extension(706 ^ 6)).
% 265.36/256.78 ncf('1.1.1.3.2',plain,[-(aScalar0(xH))],lemmata('[1, 1, 1].x')).
% 265.36/256.78 ncf('1.1.2',plain,[-(sdtpldt0(xP, sdtpldt0(xP, sdtasdt0(xH, xH))) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))), xP = sdtasdt0(xE, xH), sdtpldt0(xP, sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))],extension(122 ^ 2,bind([[_124528, _124530, _124532, _124534], [sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)), sdtpldt0(xP, sdtasdt0(xH, xH)), sdtasdt0(xE, xH), xP]]))).
% 265.36/256.78 ncf('1.1.2.1',plain,[-(xP = sdtasdt0(xE, xH)), xP = sdtasdt0(xH, xE), sdtasdt0(xH, xE) = sdtasdt0(xE, xH)],extension(10 ^ 3,bind([[_120830, _120832, _120834], [sdtasdt0(xE, xH), sdtasdt0(xH, xE), xP]]))).
% 265.36/256.78 ncf('1.1.2.1.1',plain,[-(xP = sdtasdt0(xH, xE)), xP = sdtasdt0(xE, xH), sdtasdt0(xE, xH) = sdtasdt0(xH, xE)],extension(10 ^ 4,bind([[_120830, _120832, _120834], [sdtasdt0(xH, xE), sdtasdt0(xE, xH), xP]]))).
% 265.36/256.78 ncf('1.1.2.1.1.1',plain,[-(xP = sdtasdt0(xE, xH))],extension(740 ^ 5)).
% 265.36/256.78 ncf('1.1.2.1.1.2',plain,[-(sdtasdt0(xE, xH) = sdtasdt0(xH, xE)), aScalar0(xE), aScalar0(xH), aScalar0(xD)],extension(271 ^ 5,bind([[_129113, _129115, _129117], [xD, xH, xE]]))).
% 265.36/256.78 ncf('1.1.2.1.1.2.1',plain,[-(aScalar0(xE))],extension(718 ^ 6)).
% 265.36/256.78 ncf('1.1.2.1.1.2.2',plain,[-(aScalar0(xH))],extension(730 ^ 6)).
% 265.36/256.78 ncf('1.1.2.1.1.2.3',plain,[-(aScalar0(xD))],extension(714 ^ 6)).
% 265.36/256.78 ncf('1.1.2.1.2',plain,[-(sdtasdt0(xH, xE) = sdtasdt0(xE, xH)), aScalar0(xH), aScalar0(xE), aScalar0(xD)],extension(271 ^ 4,bind([[_129113, _129115, _129117], [xD, xE, xH]]))).
% 265.36/256.78 ncf('1.1.2.1.2.1',plain,[-(aScalar0(xH))],extension(730 ^ 5)).
% 265.36/256.78 ncf('1.1.2.1.2.2',plain,[-(aScalar0(xE))],extension(718 ^ 5)).
% 265.36/256.78 ncf('1.1.2.1.2.3',plain,[-(aScalar0(xD))],extension(714 ^ 5)).
% 265.36/256.78 ncf('1.1.2.2',plain,[-(sdtpldt0(xP, sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), xP = sdtasdt0(xH, xE), sdtasdt0(xH, xH) = sdtasdt0(xH, xH)],extension(122 ^ 3,bind([[_124528, _124530, _124532, _124534], [sdtasdt0(xH, xH), sdtasdt0(xH, xH), sdtasdt0(xH, xE), xP]]))).
% 265.36/256.78 ncf('1.1.2.2.1',plain,[-(xP = sdtasdt0(xH, xE)), xP = sdtasdt0(xE, xH), sdtasdt0(xE, xH) = sdtasdt0(xH, xE)],extension(10 ^ 4,bind([[_120830, _120832, _120834], [sdtasdt0(xH, xE), sdtasdt0(xE, xH), xP]]))).
% 265.36/256.78 ncf('1.1.2.2.1.1',plain,[-(xP = sdtasdt0(xE, xH))],extension(740 ^ 5)).
% 265.36/256.78 ncf('1.1.2.2.1.2',plain,[-(sdtasdt0(xE, xH) = sdtasdt0(xH, xE)), aScalar0(xE), aScalar0(xH), aScalar0(xD)],extension(271 ^ 5,bind([[_129113, _129115, _129117], [xD, xH, xE]]))).
% 265.36/256.78 ncf('1.1.2.2.1.2.1',plain,[-(aScalar0(xE))],extension(718 ^ 6)).
% 265.36/256.78 ncf('1.1.2.2.1.2.2',plain,[-(aScalar0(xH))],extension(730 ^ 6)).
% 265.36/256.78 ncf('1.1.2.2.1.2.3',plain,[-(aScalar0(xD))],extension(714 ^ 6)).
% 265.36/256.78 ncf('1.1.2.2.2',plain,[-(sdtasdt0(xH, xH) = sdtasdt0(xH, xH)), aScalar0(xH), aScalar0(xH), aScalar0(xD)],extension(271 ^ 4,bind([[_129113, _129115, _129117], [xD, xH, xH]]))).
% 265.36/256.78 ncf('1.1.2.2.2.1',plain,[-(aScalar0(xH))],extension(730 ^ 5)).
% 265.36/256.78 ncf('1.1.2.2.2.2',plain,[-(aScalar0(xH))],lemmata('[2, 2, 1, 1].x')).
% 265.36/256.78 ncf('1.1.2.2.2.3',plain,[-(aScalar0(xD))],extension(714 ^ 5)).
% 265.36/256.78 %-----------------------------------------------------
% 265.36/256.78 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------