TSTP Solution File: RNG079+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG079+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n007.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 43.23s 42.74s
% Output : Proof 43.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG079+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu May 18 20:11:08 EDT 2023
% 0.13/0.33 % CPUTime :
% 43.23/42.74
% 43.23/42.74 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.23/42.74 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.23/42.74 %-----------------------------------------------------
% 43.23/42.74 ncf(matrix, plain, [(760 ^ _142609) ^ [] : [sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))], !, (730 ^ _119300) ^ [] : [-(aScalar0(xH))], (710 ^ _119300) ^ [] : [-(aScalar0(xC))], (758 ^ _119300) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))))], (4 ^ _119300) ^ [_119531, _119533] : [_119533 = _119531, -(_119531 = _119533)], (154 ^ _119300) ^ [_124427] : [aNaturalNumber0(_124427), 157 ^ _119300 : [(160 ^ _119300) ^ [] : [szszuzczcdt0(_124427) = sz00], (158 ^ _119300) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_124427)))]]], (732 ^ _119300) ^ [] : [-(xH = sdtasdt0(xA, xB))], (594 ^ _119300) ^ [_137695, _137697] : [aVector0(_137697), aVector0(_137695), -(aDimensionOf0(sziznziztdt0(_137697)) = aDimensionOf0(sziznziztdt0(_137695))), aDimensionOf0(_137697) = aDimensionOf0(_137695), -(aDimensionOf0(_137695) = sz00)], (20 ^ _119300) ^ [_120048, _120050] : [-(aNaturalNumber0(_120048)), _120050 = _120048, aNaturalNumber0(_120050)], (10 ^ _119300) ^ [_119735, _119737, _119739] : [-(_119739 = _119735), _119739 = _119737, _119737 = _119735], (291 ^ _119300) ^ [_128729, _128731, _128733] : [302 ^ _119300 : [(305 ^ _119300) ^ [] : [-(sdtasdt0(sdtpldt0(_128733, _128731), _128729) = sdtpldt0(sdtasdt0(_128733, _128729), sdtasdt0(_128731, _128729)))], (303 ^ _119300) ^ [] : [-(sdtasdt0(_128733, sdtpldt0(_128731, _128729)) = sdtpldt0(sdtasdt0(_128733, _128731), sdtasdt0(_128733, _128729)))]], aScalar0(_128733), aScalar0(_128731), aScalar0(_128729)], (728 ^ _119300) ^ [] : [-(xG = sdtasdt0(xB, xB))], (698 ^ _119300) ^ [] : [-(aVector0(xq))], (722 ^ _119300) ^ [] : [-(aScalar0(xF))], (644 ^ _119300) ^ [_139092, _139094] : [aVector0(_139094), aVector0(_139092), -(sdtasasdt0(_139094, _139092) = sdtpldt0(sdtasasdt0(sziznziztdt0(_139094), sziznziztdt0(_139092)), sdtasdt0(sdtlbdtrb0(_139094, aDimensionOf0(_139094)), sdtlbdtrb0(_139092, aDimensionOf0(_139092))))), aDimensionOf0(_139094) = aDimensionOf0(_139092), -(aDimensionOf0(_139092) = sz00)], (612 ^ _119300) ^ [_138201, _138203] : [aVector0(_138203), aVector0(_138201), aDimensionOf0(_138203) = aDimensionOf0(_138201), -(aScalar0(sdtasasdt0(_138203, _138201)))], (744 ^ _119300) ^ [] : [-(xS = sdtasdt0(xF, xD))], (704 ^ _119300) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (740 ^ _119300) ^ [] : [-(xP = sdtasdt0(xE, xH))], (437 ^ _119300) ^ [_133074, _133076, _133078, _133080] : [aScalar0(_133080), aScalar0(_133078), aScalar0(_133076), aScalar0(_133074), -(sdtlseqdt0(sdtasdt0(_133080, _133076), sdtasdt0(_133078, _133074))), sdtlseqdt0(_133080, _133078), sdtlseqdt0(sz0z00, _133076), sdtlseqdt0(_133076, _133074)], (365 ^ _119300) ^ [_131026] : [aScalar0(_131026), -(sdtlseqdt0(_131026, _131026))], (720 ^ _119300) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (712 ^ _119300) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (142 ^ _119300) ^ [_124119] : [aNaturalNumber0(_124119), true___, -(true___)], (736 ^ _119300) ^ [] : [-(xR = sdtasdt0(xC, xG))], (2 ^ _119300) ^ [_119424] : [-(_119424 = _119424)], (529 ^ _119300) ^ [_135593] : [aVector0(_135593), true___, -(true___)], (555 ^ _119300) ^ [_136337] : [aVector0(_136337), -(aDimensionOf0(_136337) = sz00), 562 ^ _119300 : [(577 ^ _119300) ^ [_137113] : [-(_137113 = sziznziztdt0(_136337)), aVector0(_137113), szszuzczcdt0(aDimensionOf0(_137113)) = aDimensionOf0(_136337), 587 ^ _119300 : [(590 ^ _119300) ^ [] : [sdtlbdtrb0(_137113, 586 ^ [_136337, _137113]) = sdtlbdtrb0(_136337, 586 ^ [_136337, _137113])], (588 ^ _119300) ^ [] : [-(aNaturalNumber0(586 ^ [_136337, _137113]))]]], (563 ^ _119300) ^ [_136620] : [_136620 = sziznziztdt0(_136337), 566 ^ _119300 : [(571 ^ _119300) ^ [_136922] : [aNaturalNumber0(_136922), -(sdtlbdtrb0(_136620, _136922) = sdtlbdtrb0(_136337, _136922))], (569 ^ _119300) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_136620)) = aDimensionOf0(_136337))], (567 ^ _119300) ^ [] : [-(aVector0(_136620))]]]]], (411 ^ _119300) ^ [_132331, _132333, _132335, _132337] : [-(sdtlseqdt0(sdtpldt0(_132337, _132333), sdtpldt0(_132335, _132331))), sdtlseqdt0(_132337, _132335), sdtlseqdt0(_132333, _132331), aScalar0(_132337), aScalar0(_132335), aScalar0(_132333), aScalar0(_132331)], (162 ^ _119300) ^ [_124695] : [170 ^ _119300 : [(173 ^ _119300) ^ [] : [-(_124695 = szszuzczcdt0(169 ^ [_124695]))], (171 ^ _119300) ^ [] : [-(aNaturalNumber0(169 ^ [_124695]))]], aNaturalNumber0(_124695), -(_124695 = sz00)], (481 ^ _119300) ^ [_134275, _134277] : [aScalar0(_134277), aScalar0(_134275), 496 ^ _119300 : [(499 ^ _119300) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_134277, _134275)))], (497 ^ _119300) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_134277, _134275)))]], sdtlseqdt0(sz0z00, _134277), sdtlseqdt0(sz0z00, _134275)], (307 ^ _119300) ^ [_129290, _129292, _129294, _129296] : [-(sdtasdt0(sdtpldt0(_129296, _129294), sdtpldt0(_129292, _129290)) = sdtpldt0(sdtpldt0(sdtasdt0(_129296, _129292), sdtasdt0(_129296, _129290)), sdtpldt0(sdtasdt0(_129294, _129292), sdtasdt0(_129294, _129290)))), aScalar0(_129296), aScalar0(_129294), aScalar0(_129292), aScalar0(_129290)], (738 ^ _119300) ^ [] : [-(aScalar0(xP))], (748 ^ _119300) ^ [] : [-(xN = sdtasdt0(xR, xS))], (716 ^ _119300) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (670 ^ _119300) ^ [] : [-(aVector0(xt))], (668 ^ _119300) ^ [] : [-(aVector0(xs))], (132 ^ _119300) ^ [_123772, _123774, _123776, _123778] : [-(sdtpldt0(_123778, _123774) = sdtpldt0(_123776, _123772)), _123778 = _123776, _123774 = _123772], (223 ^ _119300) ^ [] : [-(aScalar0(sz0z00))], (96 ^ _119300) ^ [_122497, _122499, _122501, _122503] : [-(sdtlbdtrb0(_122503, _122499) = sdtlbdtrb0(_122501, _122497)), _122503 = _122501, _122499 = _122497], (207 ^ _119300) ^ [_125963] : [aNaturalNumber0(_125963), -(iLess0(_125963, szszuzczcdt0(_125963)))], (371 ^ _119300) ^ [_131228, _131230] : [aScalar0(_131230), aScalar0(_131228), -(_131230 = _131228), sdtlseqdt0(_131230, _131228), sdtlseqdt0(_131228, _131230)], (175 ^ _119300) ^ [_125123, _125125] : [aNaturalNumber0(_125125), aNaturalNumber0(_125123), szszuzczcdt0(_125125) = szszuzczcdt0(_125123), -(_125125 = _125123)], (90 ^ _119300) ^ [_122251, _122253] : [_122253 = _122251, -(sziznziztdt0(_122253) = sziznziztdt0(_122251))], (724 ^ _119300) ^ [] : [-(xF = sdtasdt0(xA, xA))], (112 ^ _119300) ^ [_123074, _123076, _123078, _123080] : [-(sdtasasdt0(_123080, _123076) = sdtasasdt0(_123078, _123074)), _123080 = _123078, _123076 = _123074], (325 ^ _119300) ^ [_129855, _129857] : [332 ^ _119300 : [(335 ^ _119300) ^ [] : [-(sdtasdt0(smndt0(_129857), _129855) = smndt0(sdtasdt0(_129857, _129855)))], (333 ^ _119300) ^ [] : [-(sdtasdt0(_129857, smndt0(_129855)) = smndt0(sdtasdt0(_129857, _129855)))]], aScalar0(_129857), aScalar0(_129855)], (708 ^ _119300) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (706 ^ _119300) ^ [] : [-(aScalar0(xB))], (545 ^ _119300) ^ [_136052, _136054] : [-(aScalar0(sdtlbdtrb0(_136054, _136052))), aVector0(_136054), aNaturalNumber0(_136052)], (152 ^ _119300) ^ [] : [-(aNaturalNumber0(sz00))], (271 ^ _119300) ^ [_128018, _128020, _128022] : [282 ^ _119300 : [(285 ^ _119300) ^ [] : [-(sdtpldt0(_128022, _128020) = sdtpldt0(_128020, _128022))], (287 ^ _119300) ^ [] : [-(sdtasdt0(sdtasdt0(_128022, _128020), _128018) = sdtasdt0(_128022, sdtasdt0(_128020, _128018)))], (289 ^ _119300) ^ [] : [-(sdtasdt0(_128022, _128020) = sdtasdt0(_128020, _128022))], (283 ^ _119300) ^ [] : [-(sdtpldt0(sdtpldt0(_128022, _128020), _128018) = sdtpldt0(_128022, sdtpldt0(_128020, _128018)))]], aScalar0(_128022), aScalar0(_128020), aScalar0(_128018)], (714 ^ _119300) ^ [] : [-(aScalar0(xD))], (347 ^ _119300) ^ [_130580, _130582] : [aScalar0(_130582), aScalar0(_130580), sdtlseqdt0(_130582, _130580), true___, -(true___)], (501 ^ _119300) ^ [_134823] : [aScalar0(_134823), -(sdtlseqdt0(sz0z00, sdtasdt0(_134823, _134823)))], (746 ^ _119300) ^ [] : [-(aScalar0(xN))], (700 ^ _119300) ^ [] : [-(xq = sziznziztdt0(xt))], (702 ^ _119300) ^ [] : [-(aScalar0(xA))], (467 ^ _119300) ^ [_133888, _133890] : [aScalar0(_133890), aScalar0(_133888), -(sdtlseqdt0(_133890, _133888)), -(sdtlseqdt0(_133888, _133890))], (64 ^ _119300) ^ [_121385, _121387, _121389, _121391] : [-(sdtlseqdt0(_121389, _121385)), sdtlseqdt0(_121391, _121387), _121391 = _121389, _121387 = _121385], (54 ^ _119300) ^ [_121082, _121084] : [-(aScalar0(_121082)), _121084 = _121082, aScalar0(_121084)], (389 ^ _119300) ^ [_131717, _131719, _131721] : [aScalar0(_131721), aScalar0(_131719), aScalar0(_131717), -(sdtlseqdt0(_131721, _131717)), sdtlseqdt0(_131721, _131719), sdtlseqdt0(_131719, _131717)], (754 ^ _119300) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))))], (245 ^ _119300) ^ [_127061] : [aScalar0(_127061), -(aScalar0(smndt0(_127061)))], (756 ^ _119300) ^ [] : [-(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))))], (84 ^ _119300) ^ [_122033, _122035] : [_122035 = _122033, -(szszuzczcdt0(_122035) = szszuzczcdt0(_122033))], (734 ^ _119300) ^ [] : [-(aScalar0(xR))], (672 ^ _119300) ^ [_139936, _139938] : [aVector0(_139938), aVector0(_139936), aDimensionOf0(_139938) = aDimensionOf0(_139936), iLess0(aDimensionOf0(_139938), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_139938, _139936), sdtasasdt0(_139938, _139936)), sdtasdt0(sdtasasdt0(_139938, _139938), sdtasasdt0(_139936, _139936))))], (696 ^ _119300) ^ [] : [-(xp = sziznziztdt0(xs))], (106 ^ _119300) ^ [_122828, _122830] : [_122830 = _122828, -(aDimensionOf0(_122830) = aDimensionOf0(_122828))], (662 ^ _119300) ^ [_139620] : [aVector0(_139620), -(sdtlseqdt0(sz0z00, sdtasasdt0(_139620, _139620)))], (539 ^ _119300) ^ [_135848] : [aVector0(_135848), -(aNaturalNumber0(aDimensionOf0(_135848)))], (225 ^ _119300) ^ [_126477, _126479] : [-(aScalar0(sdtpldt0(_126479, _126477))), aScalar0(_126479), aScalar0(_126477)], (78 ^ _119300) ^ [_121815, _121817] : [_121817 = _121815, -(smndt0(_121817) = smndt0(_121815))], (694 ^ _119300) ^ [] : [-(aVector0(xp))], (718 ^ _119300) ^ [] : [-(aScalar0(xE))], (337 ^ _119300) ^ [_130265, _130267] : [-(sdtasdt0(smndt0(_130267), smndt0(_130265)) = sdtasdt0(_130267, _130265)), aScalar0(_130267), aScalar0(_130265)], (626 ^ _119300) ^ [_138599, _138601] : [aVector0(_138601), aVector0(_138599), -(sdtasasdt0(_138601, _138599) = sz0z00), aDimensionOf0(_138601) = aDimensionOf0(_138599), aDimensionOf0(_138599) = sz00], (726 ^ _119300) ^ [] : [-(aScalar0(xG))], (30 ^ _119300) ^ [_120371, _120373, _120375, _120377] : [-(iLess0(_120375, _120371)), iLess0(_120377, _120373), _120377 = _120375, _120373 = _120371], (690 ^ _119300) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (213 ^ _119300) ^ [_126155] : [aScalar0(_126155), true___, -(true___)], (750 ^ _119300) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (752 ^ _119300) ^ [] : [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], (742 ^ _119300) ^ [] : [-(aScalar0(xS))], (251 ^ _119300) ^ [_127251] : [aScalar0(_127251), 254 ^ _119300 : [(259 ^ _119300) ^ [] : [-(sdtasdt0(_127251, sz0z00) = sz0z00)], (265 ^ _119300) ^ [] : [-(sdtpldt0(smndt0(_127251), _127251) = sz0z00)], (255 ^ _119300) ^ [] : [-(sdtpldt0(_127251, sz0z00) = _127251)], (267 ^ _119300) ^ [] : [-(smndt0(smndt0(_127251)) = _127251)], (261 ^ _119300) ^ [] : [-(sdtasdt0(sz0z00, _127251) = sz0z00)], (263 ^ _119300) ^ [] : [-(sdtpldt0(_127251, smndt0(_127251)) = sz0z00)], (269 ^ _119300) ^ [] : [-(smndt0(sz0z00) = sz0z00)], (257 ^ _119300) ^ [] : [-(sdtpldt0(sz0z00, _127251) = _127251)]]], (44 ^ _119300) ^ [_120787, _120789] : [-(aVector0(_120787)), _120789 = _120787, aVector0(_120789)], (122 ^ _119300) ^ [_123433, _123435, _123437, _123439] : [-(sdtasdt0(_123439, _123435) = sdtasdt0(_123437, _123433)), _123439 = _123437, _123435 = _123433], (189 ^ _119300) ^ [_125517, _125519] : [aNaturalNumber0(_125519), aNaturalNumber0(_125517), iLess0(_125519, _125517), true___, -(true___)], (692 ^ _119300) ^ [] : [aDimensionOf0(xs) = sz00], (235 ^ _119300) ^ [_126776, _126778] : [-(aScalar0(sdtasdt0(_126778, _126776))), aScalar0(_126778), aScalar0(_126776)], (507 ^ _119300) ^ [_135031, _135033] : [aScalar0(_135033), aScalar0(_135031), -(_135033 = _135031), sdtlseqdt0(sz0z00, _135033), sdtlseqdt0(sz0z00, _135031), sdtasdt0(_135033, _135033) = sdtasdt0(_135031, _135031)]], input).
% 43.23/42.74 ncf('1',plain,[sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))],start(760 ^ 0)).
% 43.23/42.74 ncf('1.1',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))],extension(64 ^ 1,bind([[_121385, _121387, _121389, _121391], [sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))), sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))]]))).
% 43.23/42.74 ncf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))))],extension(758 ^ 2)).
% 43.23/42.74 ncf('1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH))), sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))],extension(4 ^ 2,bind([[_119531, _119533], [sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH))]]))).
% 43.23/42.74 ncf('1.1.2.1',plain,[-(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))), aScalar0(xE), aScalar0(xH), aScalar0(xE), aScalar0(xH)],extension(307 ^ 3,bind([[_129290, _129292, _129294, _129296], [xH, xE, xH, xE]]))).
% 43.23/42.74 ncf('1.1.2.1.1',plain,[-(aScalar0(xE))],extension(718 ^ 4)).
% 43.23/42.74 ncf('1.1.2.1.2',plain,[-(aScalar0(xH))],extension(730 ^ 4)).
% 43.23/42.74 ncf('1.1.2.1.3',plain,[-(aScalar0(xE))],lemmata('[2, 1, 1].x')).
% 43.23/42.74 ncf('1.1.2.1.4',plain,[-(aScalar0(xH))],lemmata('[2, 1, 1].x')).
% 43.23/42.74 ncf('1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))],extension(4 ^ 2,bind([[_119531, _119533], [sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))]]))).
% 43.23/42.74 ncf('1.1.3.1',plain,[-(sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))), aScalar0(xC), aScalar0(xF), aScalar0(xD), aScalar0(xG)],extension(307 ^ 3,bind([[_129290, _129292, _129294, _129296], [xG, xD, xF, xC]]))).
% 43.23/42.74 ncf('1.1.3.1.1',plain,[-(aScalar0(xC))],extension(710 ^ 4)).
% 43.23/42.74 ncf('1.1.3.1.2',plain,[-(aScalar0(xF))],extension(722 ^ 4)).
% 43.23/42.74 ncf('1.1.3.1.3',plain,[-(aScalar0(xD))],extension(714 ^ 4)).
% 43.23/42.74 ncf('1.1.3.1.4',plain,[-(aScalar0(xG))],extension(726 ^ 4)).
% 43.23/42.74 %-----------------------------------------------------
% 43.23/42.74 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------