TSTP Solution File: RNG076+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:49:45 EDT 2023
% Result : Theorem 0.55s 1.37s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG076+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n003.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 20:24:45 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.55/1.37
% 0.55/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.55/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.37 %-----------------------------------------------------
% 0.55/1.37 ncf(matrix, plain, [(770 ^ _117372) ^ [] : [sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))], (78 ^ _117372) ^ [_119907, _119909] : [_119909 = _119907, -(smndt0(_119909) = smndt0(_119907))], (84 ^ _117372) ^ [_120125, _120127] : [_120127 = _120125, -(szszuzczcdt0(_120127) = szszuzczcdt0(_120125))], (90 ^ _117372) ^ [_120343, _120345] : [_120345 = _120343, -(sziznziztdt0(_120345) = sziznziztdt0(_120343))], (96 ^ _117372) ^ [_120589, _120591, _120593, _120595] : [-(sdtlbdtrb0(_120595, _120591) = sdtlbdtrb0(_120593, _120589)), _120595 = _120593, _120591 = _120589], (106 ^ _117372) ^ [_120920, _120922] : [_120922 = _120920, -(aDimensionOf0(_120922) = aDimensionOf0(_120920))], (112 ^ _117372) ^ [_121166, _121168, _121170, _121172] : [-(sdtasasdt0(_121172, _121168) = sdtasasdt0(_121170, _121166)), _121172 = _121170, _121168 = _121166], (122 ^ _117372) ^ [_121525, _121527, _121529, _121531] : [-(sdtpldt0(_121531, _121527) = sdtpldt0(_121529, _121525)), _121531 = _121529, _121527 = _121525], (132 ^ _117372) ^ [_121864, _121866, _121868, _121870] : [-(sdtasdt0(_121870, _121866) = sdtasdt0(_121868, _121864)), _121870 = _121868, _121866 = _121864], (2 ^ _117372) ^ [_117516] : [-(_117516 = _117516)], (4 ^ _117372) ^ [_117623, _117625] : [_117625 = _117623, -(_117623 = _117625)], (10 ^ _117372) ^ [_117827, _117829, _117831] : [-(_117831 = _117827), _117831 = _117829, _117829 = _117827], (20 ^ _117372) ^ [_118168, _118170, _118172, _118174] : [-(iLess0(_118172, _118168)), iLess0(_118174, _118170), _118174 = _118172, _118170 = _118168], (34 ^ _117372) ^ [_118584, _118586] : [-(aVector0(_118584)), _118586 = _118584, aVector0(_118586)], (44 ^ _117372) ^ [_118879, _118881] : [-(aNaturalNumber0(_118879)), _118881 = _118879, aNaturalNumber0(_118881)], (54 ^ _117372) ^ [_119174, _119176] : [-(aScalar0(_119174)), _119176 = _119174, aScalar0(_119176)], (64 ^ _117372) ^ [_119477, _119479, _119481, _119483] : [-(sdtlseqdt0(_119481, _119477)), sdtlseqdt0(_119483, _119479), _119483 = _119481, _119479 = _119477], (142 ^ _117372) ^ [_122211] : [aNaturalNumber0(_122211), true___, -(true___)], (152 ^ _117372) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _117372) ^ [_122519] : [aNaturalNumber0(_122519), 157 ^ _117372 : [(158 ^ _117372) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_122519)))], (160 ^ _117372) ^ [] : [szszuzczcdt0(_122519) = sz00]]], (162 ^ _117372) ^ [_122787] : [170 ^ _117372 : [(171 ^ _117372) ^ [] : [-(aNaturalNumber0(169 ^ [_122787]))], (173 ^ _117372) ^ [] : [-(_122787 = szszuzczcdt0(169 ^ [_122787]))]], aNaturalNumber0(_122787), -(_122787 = sz00)], (175 ^ _117372) ^ [_123215, _123217] : [aNaturalNumber0(_123217), aNaturalNumber0(_123215), szszuzczcdt0(_123217) = szszuzczcdt0(_123215), -(_123217 = _123215)], (189 ^ _117372) ^ [_123609, _123611] : [aNaturalNumber0(_123611), aNaturalNumber0(_123609), iLess0(_123611, _123609), true___, -(true___)], (207 ^ _117372) ^ [_124055] : [aNaturalNumber0(_124055), -(iLess0(_124055, szszuzczcdt0(_124055)))], (213 ^ _117372) ^ [_124247] : [aScalar0(_124247), true___, -(true___)], (223 ^ _117372) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _117372) ^ [_124569, _124571] : [-(aScalar0(sdtpldt0(_124571, _124569))), aScalar0(_124571), aScalar0(_124569)], (235 ^ _117372) ^ [_124868, _124870] : [-(aScalar0(sdtasdt0(_124870, _124868))), aScalar0(_124870), aScalar0(_124868)], (245 ^ _117372) ^ [_125153] : [aScalar0(_125153), -(aScalar0(smndt0(_125153)))], (251 ^ _117372) ^ [_125343] : [aScalar0(_125343), 254 ^ _117372 : [(255 ^ _117372) ^ [] : [-(sdtpldt0(_125343, sz0z00) = _125343)], (257 ^ _117372) ^ [] : [-(sdtpldt0(sz0z00, _125343) = _125343)], (259 ^ _117372) ^ [] : [-(sdtasdt0(_125343, sz0z00) = sz0z00)], (261 ^ _117372) ^ [] : [-(sdtasdt0(sz0z00, _125343) = sz0z00)], (263 ^ _117372) ^ [] : [-(sdtpldt0(_125343, smndt0(_125343)) = sz0z00)], (265 ^ _117372) ^ [] : [-(sdtpldt0(smndt0(_125343), _125343) = sz0z00)], (267 ^ _117372) ^ [] : [-(smndt0(smndt0(_125343)) = _125343)], (269 ^ _117372) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _117372) ^ [_126110, _126112, _126114] : [282 ^ _117372 : [(283 ^ _117372) ^ [] : [-(sdtpldt0(sdtpldt0(_126114, _126112), _126110) = sdtpldt0(_126114, sdtpldt0(_126112, _126110)))], (285 ^ _117372) ^ [] : [-(sdtpldt0(_126114, _126112) = sdtpldt0(_126112, _126114))], (287 ^ _117372) ^ [] : [-(sdtasdt0(sdtasdt0(_126114, _126112), _126110) = sdtasdt0(_126114, sdtasdt0(_126112, _126110)))], (289 ^ _117372) ^ [] : [-(sdtasdt0(_126114, _126112) = sdtasdt0(_126112, _126114))]], aScalar0(_126114), aScalar0(_126112), aScalar0(_126110)], (291 ^ _117372) ^ [_126821, _126823, _126825] : [302 ^ _117372 : [(303 ^ _117372) ^ [] : [-(sdtasdt0(_126825, sdtpldt0(_126823, _126821)) = sdtpldt0(sdtasdt0(_126825, _126823), sdtasdt0(_126825, _126821)))], (305 ^ _117372) ^ [] : [-(sdtasdt0(sdtpldt0(_126825, _126823), _126821) = sdtpldt0(sdtasdt0(_126825, _126821), sdtasdt0(_126823, _126821)))]], aScalar0(_126825), aScalar0(_126823), aScalar0(_126821)], (307 ^ _117372) ^ [_127382, _127384, _127386, _127388] : [-(sdtasdt0(sdtpldt0(_127388, _127386), sdtpldt0(_127384, _127382)) = sdtpldt0(sdtpldt0(sdtasdt0(_127388, _127384), sdtasdt0(_127388, _127382)), sdtpldt0(sdtasdt0(_127386, _127384), sdtasdt0(_127386, _127382)))), aScalar0(_127388), aScalar0(_127386), aScalar0(_127384), aScalar0(_127382)], (325 ^ _117372) ^ [_127947, _127949] : [332 ^ _117372 : [(333 ^ _117372) ^ [] : [-(sdtasdt0(_127949, smndt0(_127947)) = smndt0(sdtasdt0(_127949, _127947)))], (335 ^ _117372) ^ [] : [-(sdtasdt0(smndt0(_127949), _127947) = smndt0(sdtasdt0(_127949, _127947)))]], aScalar0(_127949), aScalar0(_127947)], (337 ^ _117372) ^ [_128357, _128359] : [-(sdtasdt0(smndt0(_128359), smndt0(_128357)) = sdtasdt0(_128359, _128357)), aScalar0(_128359), aScalar0(_128357)], (347 ^ _117372) ^ [_128672, _128674] : [aScalar0(_128674), aScalar0(_128672), sdtlseqdt0(_128674, _128672), true___, -(true___)], (365 ^ _117372) ^ [_129118] : [aScalar0(_129118), -(sdtlseqdt0(_129118, _129118))], (371 ^ _117372) ^ [_129320, _129322] : [aScalar0(_129322), aScalar0(_129320), -(_129322 = _129320), sdtlseqdt0(_129322, _129320), sdtlseqdt0(_129320, _129322)], (389 ^ _117372) ^ [_129809, _129811, _129813] : [aScalar0(_129813), aScalar0(_129811), aScalar0(_129809), -(sdtlseqdt0(_129813, _129809)), sdtlseqdt0(_129813, _129811), sdtlseqdt0(_129811, _129809)], (411 ^ _117372) ^ [_130423, _130425, _130427, _130429] : [-(sdtlseqdt0(sdtpldt0(_130429, _130425), sdtpldt0(_130427, _130423))), sdtlseqdt0(_130429, _130427), sdtlseqdt0(_130425, _130423), aScalar0(_130429), aScalar0(_130427), aScalar0(_130425), aScalar0(_130423)], (437 ^ _117372) ^ [_131166, _131168, _131170, _131172] : [aScalar0(_131172), aScalar0(_131170), aScalar0(_131168), aScalar0(_131166), -(sdtlseqdt0(sdtasdt0(_131172, _131168), sdtasdt0(_131170, _131166))), sdtlseqdt0(_131172, _131170), sdtlseqdt0(sz0z00, _131168), sdtlseqdt0(_131168, _131166)], (467 ^ _117372) ^ [_131980, _131982] : [aScalar0(_131982), aScalar0(_131980), -(sdtlseqdt0(_131982, _131980)), -(sdtlseqdt0(_131980, _131982))], (481 ^ _117372) ^ [_132367, _132369] : [aScalar0(_132369), aScalar0(_132367), 496 ^ _117372 : [(497 ^ _117372) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_132369, _132367)))], (499 ^ _117372) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_132369, _132367)))]], sdtlseqdt0(sz0z00, _132369), sdtlseqdt0(sz0z00, _132367)], (501 ^ _117372) ^ [_132915] : [aScalar0(_132915), -(sdtlseqdt0(sz0z00, sdtasdt0(_132915, _132915)))], (507 ^ _117372) ^ [_133123, _133125] : [aScalar0(_133125), aScalar0(_133123), -(_133125 = _133123), sdtlseqdt0(sz0z00, _133125), sdtlseqdt0(sz0z00, _133123), sdtasdt0(_133125, _133125) = sdtasdt0(_133123, _133123)], (529 ^ _117372) ^ [_133685] : [aVector0(_133685), true___, -(true___)], (539 ^ _117372) ^ [_133940] : [aVector0(_133940), -(aNaturalNumber0(aDimensionOf0(_133940)))], (545 ^ _117372) ^ [_134144, _134146] : [-(aScalar0(sdtlbdtrb0(_134146, _134144))), aVector0(_134146), aNaturalNumber0(_134144)], (555 ^ _117372) ^ [_134429] : [aVector0(_134429), -(aDimensionOf0(_134429) = sz00), 562 ^ _117372 : [(563 ^ _117372) ^ [_134712] : [_134712 = sziznziztdt0(_134429), 566 ^ _117372 : [(567 ^ _117372) ^ [] : [-(aVector0(_134712))], (569 ^ _117372) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_134712)) = aDimensionOf0(_134429))], (571 ^ _117372) ^ [_135014] : [aNaturalNumber0(_135014), -(sdtlbdtrb0(_134712, _135014) = sdtlbdtrb0(_134429, _135014))]]], (577 ^ _117372) ^ [_135205] : [-(_135205 = sziznziztdt0(_134429)), aVector0(_135205), szszuzczcdt0(aDimensionOf0(_135205)) = aDimensionOf0(_134429), 587 ^ _117372 : [(588 ^ _117372) ^ [] : [-(aNaturalNumber0(586 ^ [_134429, _135205]))], (590 ^ _117372) ^ [] : [sdtlbdtrb0(_135205, 586 ^ [_134429, _135205]) = sdtlbdtrb0(_134429, 586 ^ [_134429, _135205])]]]]], (594 ^ _117372) ^ [_135787, _135789] : [aVector0(_135789), aVector0(_135787), -(aDimensionOf0(sziznziztdt0(_135789)) = aDimensionOf0(sziznziztdt0(_135787))), aDimensionOf0(_135789) = aDimensionOf0(_135787), -(aDimensionOf0(_135787) = sz00)], (612 ^ _117372) ^ [_136293, _136295] : [aVector0(_136295), aVector0(_136293), aDimensionOf0(_136295) = aDimensionOf0(_136293), -(aScalar0(sdtasasdt0(_136295, _136293)))], (626 ^ _117372) ^ [_136691, _136693] : [aVector0(_136693), aVector0(_136691), -(sdtasasdt0(_136693, _136691) = sz0z00), aDimensionOf0(_136693) = aDimensionOf0(_136691), aDimensionOf0(_136691) = sz00], (644 ^ _117372) ^ [_137184, _137186] : [aVector0(_137186), aVector0(_137184), -(sdtasasdt0(_137186, _137184) = sdtpldt0(sdtasasdt0(sziznziztdt0(_137186), sziznziztdt0(_137184)), sdtasdt0(sdtlbdtrb0(_137186, aDimensionOf0(_137186)), sdtlbdtrb0(_137184, aDimensionOf0(_137184))))), aDimensionOf0(_137186) = aDimensionOf0(_137184), -(aDimensionOf0(_137184) = sz00)], (662 ^ _117372) ^ [_137712] : [aVector0(_137712), -(sdtlseqdt0(sz0z00, sdtasasdt0(_137712, _137712)))], (668 ^ _117372) ^ [] : [-(aVector0(xs))], (670 ^ _117372) ^ [] : [-(aVector0(xt))], (690 ^ _117372) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _117372) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _117372) ^ [] : [-(aVector0(xp))], (696 ^ _117372) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _117372) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _117372) ^ [_138768] : [aNaturalNumber0(_138768), -(sdtlbdtrb0(xp, _138768) = sdtlbdtrb0(xs, _138768))], (718 ^ _117372) ^ [] : [-(aScalar0(xA))], (720 ^ _117372) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _117372) ^ [] : [-(aScalar0(xB))], (724 ^ _117372) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _117372) ^ [] : [-(aScalar0(xC))], (728 ^ _117372) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _117372) ^ [] : [-(aScalar0(xD))], (732 ^ _117372) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _117372) ^ [] : [-(aScalar0(xE))], (736 ^ _117372) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _117372) ^ [] : [-(aScalar0(xF))], (740 ^ _117372) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _117372) ^ [] : [-(aScalar0(xG))], (744 ^ _117372) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _117372) ^ [] : [-(aScalar0(xH))], (748 ^ _117372) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _117372) ^ [] : [-(aScalar0(xR))], (752 ^ _117372) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _117372) ^ [] : [-(aScalar0(xP))], (756 ^ _117372) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _117372) ^ [] : [-(aScalar0(xS))], (760 ^ _117372) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _117372) ^ [] : [-(aScalar0(xN))], (764 ^ _117372) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _117372) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _117372) ^ [] : [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], (706 ^ _117372) ^ [] : [-(aVector0(xq))], (708 ^ _117372) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _117372) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _117372) ^ [_139133] : [aNaturalNumber0(_139133), -(sdtlbdtrb0(xq, _139133) = sdtlbdtrb0(xt, _139133))], (672 ^ _117372) ^ [_138028, _138030] : [aVector0(_138030), aVector0(_138028), aDimensionOf0(_138030) = aDimensionOf0(_138028), iLess0(aDimensionOf0(_138030), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_138030, _138028), sdtasasdt0(_138030, _138028)), sdtasdt0(sdtasasdt0(_138030, _138030), sdtasasdt0(_138028, _138028))))]], input).
% 0.55/1.37 ncf('1',plain,[sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))],start(770 ^ 0)).
% 0.55/1.37 ncf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))), sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)), sdtlseqdt0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))), aScalar0(sdtasdt0(xE, xE)), aScalar0(sdtasdt0(xC, xD)), aScalar0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), aScalar0(sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))],extension(411 ^ 1,bind([[_130423, _130425, _130427, _130429], [sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtasdt0(xC, xD), sdtasdt0(xE, xE)]]))).
% 0.55/1.37 ncf('1.1.1',plain,[-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))],extension(766 ^ 2)).
% 0.55/1.37 ncf('1.1.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)), sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH)), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtasdt0(xH, xH)), aScalar0(sdtasdt0(xH, xH))],extension(411 ^ 2,bind([[_130423, _130425, _130427, _130429], [sdtasdt0(xH, xH), sdtasdt0(xH, xH), sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.55/1.37 ncf('1.1.2.1',plain,[-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))],extension(768 ^ 3)).
% 0.55/1.37 ncf('1.1.2.2',plain,[-(sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH))), aScalar0(sdtasdt0(xH, xH))],extension(365 ^ 3,bind([[_129118], [sdtasdt0(xH, xH)]]))).
% 0.55/1.37 ncf('1.1.2.2.1',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 4,bind([[_124868, _124870], [xH, xH]]))).
% 0.55/1.37 ncf('1.1.2.2.1.1',plain,[-(aScalar0(xH))],extension(746 ^ 5)).
% 0.55/1.37 ncf('1.1.2.2.1.2',plain,[-(aScalar0(xH))],lemmata('[2, 2, 1, 1].x')).
% 0.55/1.37 ncf('1.1.2.3',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 3,bind([[_124569, _124571], [xP, xP]]))).
% 0.55/1.37 ncf('1.1.2.3.1',plain,[-(aScalar0(xP))],extension(754 ^ 4)).
% 0.55/1.37 ncf('1.1.2.3.2',plain,[-(aScalar0(xP))],lemmata('[2, 1, 1].x')).
% 0.55/1.37 ncf('1.1.2.4',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 3,bind([[_124569, _124571], [xS, xR]]))).
% 0.55/1.37 ncf('1.1.2.4.1',plain,[-(aScalar0(xR))],extension(750 ^ 4)).
% 0.55/1.37 ncf('1.1.2.4.2',plain,[-(aScalar0(xS))],extension(758 ^ 4)).
% 0.55/1.37 ncf('1.1.2.5',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_124868, _124870], [xH, xH]]))).
% 0.55/1.37 ncf('1.1.2.5.1',plain,[-(aScalar0(xH))],extension(746 ^ 4)).
% 0.55/1.37 ncf('1.1.2.5.2',plain,[-(aScalar0(xH))],lemmata('[2, 1, 1].x')).
% 0.55/1.37 ncf('1.1.2.6',plain,[-(aScalar0(sdtasdt0(xH, xH)))],lemmata('[1, 1].x')).
% 0.55/1.37 ncf('1.1.3',plain,[-(aScalar0(sdtasdt0(xE, xE))), aScalar0(xE), aScalar0(xE)],extension(235 ^ 2,bind([[_124868, _124870], [xE, xE]]))).
% 0.55/1.37 ncf('1.1.3.1',plain,[-(aScalar0(xE))],extension(734 ^ 3)).
% 0.55/1.37 ncf('1.1.3.2',plain,[-(aScalar0(xE))],lemmata('[1, 1].x')).
% 0.55/1.37 ncf('1.1.4',plain,[-(aScalar0(sdtasdt0(xC, xD))), aScalar0(xC), aScalar0(xD)],extension(235 ^ 2,bind([[_124868, _124870], [xD, xC]]))).
% 0.55/1.37 ncf('1.1.4.1',plain,[-(aScalar0(xC))],extension(726 ^ 3)).
% 0.55/1.37 ncf('1.1.4.2',plain,[-(aScalar0(xD))],extension(730 ^ 3)).
% 0.55/1.37 ncf('1.1.5',plain,[-(aScalar0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtasdt0(xH, xH))],extension(225 ^ 2,bind([[_124569, _124571], [sdtasdt0(xH, xH), sdtpldt0(xP, xP)]]))).
% 0.55/1.37 ncf('1.1.5.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 3,bind([[_124569, _124571], [xP, xP]]))).
% 0.55/1.37 ncf('1.1.5.1.1',plain,[-(aScalar0(xP))],extension(754 ^ 4)).
% 0.55/1.37 ncf('1.1.5.1.2',plain,[-(aScalar0(xP))],lemmata('[5, 1, 1].x')).
% 0.55/1.37 ncf('1.1.5.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_124868, _124870], [xH, xH]]))).
% 0.55/1.37 ncf('1.1.5.2.1',plain,[-(aScalar0(xH))],extension(746 ^ 4)).
% 0.55/1.37 ncf('1.1.5.2.2',plain,[-(aScalar0(xH))],lemmata('[5, 1, 1].x')).
% 0.55/1.37 ncf('1.1.6',plain,[-(aScalar0(sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtasdt0(xH, xH))],extension(225 ^ 2,bind([[_124569, _124571], [sdtasdt0(xH, xH), sdtpldt0(xR, xS)]]))).
% 0.55/1.37 ncf('1.1.6.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 3,bind([[_124569, _124571], [xS, xR]]))).
% 0.55/1.37 ncf('1.1.6.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 4)).
% 0.55/1.37 ncf('1.1.6.1.2',plain,[-(aScalar0(xS))],extension(758 ^ 4)).
% 0.55/1.37 ncf('1.1.6.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_124868, _124870], [xH, xH]]))).
% 0.55/1.37 ncf('1.1.6.2.1',plain,[-(aScalar0(xH))],extension(746 ^ 4)).
% 0.55/1.37 ncf('1.1.6.2.2',plain,[-(aScalar0(xH))],lemmata('[6, 1, 1].x')).
% 0.55/1.37 %-----------------------------------------------------
% 0.55/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------