TSTP Solution File: RNG069+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG069+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 11:49:44 EDT 2023
% Result : Theorem 125.67s 122.27s
% Output : Proof 125.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG069+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.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 20:47:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 125.67/122.27
% 125.67/122.27 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 125.67/122.27 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 125.67/122.27 %-----------------------------------------------------
% 125.67/122.27 ncf(matrix, plain, [(778 ^ _116069) ^ [] : [sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))], (78 ^ _116069) ^ [_118604, _118606] : [_118606 = _118604, -(smndt0(_118606) = smndt0(_118604))], (84 ^ _116069) ^ [_118822, _118824] : [_118824 = _118822, -(szszuzczcdt0(_118824) = szszuzczcdt0(_118822))], (90 ^ _116069) ^ [_119040, _119042] : [_119042 = _119040, -(sziznziztdt0(_119042) = sziznziztdt0(_119040))], (96 ^ _116069) ^ [_119286, _119288, _119290, _119292] : [-(sdtlbdtrb0(_119292, _119288) = sdtlbdtrb0(_119290, _119286)), _119292 = _119290, _119288 = _119286], (106 ^ _116069) ^ [_119617, _119619] : [_119619 = _119617, -(aDimensionOf0(_119619) = aDimensionOf0(_119617))], (112 ^ _116069) ^ [_119863, _119865, _119867, _119869] : [-(sdtasasdt0(_119869, _119865) = sdtasasdt0(_119867, _119863)), _119869 = _119867, _119865 = _119863], (122 ^ _116069) ^ [_120222, _120224, _120226, _120228] : [-(sdtasdt0(_120228, _120224) = sdtasdt0(_120226, _120222)), _120228 = _120226, _120224 = _120222], (132 ^ _116069) ^ [_120561, _120563, _120565, _120567] : [-(sdtpldt0(_120567, _120563) = sdtpldt0(_120565, _120561)), _120567 = _120565, _120563 = _120561], (2 ^ _116069) ^ [_116213] : [-(_116213 = _116213)], (4 ^ _116069) ^ [_116320, _116322] : [_116322 = _116320, -(_116320 = _116322)], (10 ^ _116069) ^ [_116524, _116526, _116528] : [-(_116528 = _116524), _116528 = _116526, _116526 = _116524], (20 ^ _116069) ^ [_116865, _116867, _116869, _116871] : [-(iLess0(_116869, _116865)), iLess0(_116871, _116867), _116871 = _116869, _116867 = _116865], (34 ^ _116069) ^ [_117281, _117283] : [-(aVector0(_117281)), _117283 = _117281, aVector0(_117283)], (44 ^ _116069) ^ [_117576, _117578] : [-(aNaturalNumber0(_117576)), _117578 = _117576, aNaturalNumber0(_117578)], (54 ^ _116069) ^ [_117871, _117873] : [-(aScalar0(_117871)), _117873 = _117871, aScalar0(_117873)], (64 ^ _116069) ^ [_118174, _118176, _118178, _118180] : [-(sdtlseqdt0(_118178, _118174)), sdtlseqdt0(_118180, _118176), _118180 = _118178, _118176 = _118174], (142 ^ _116069) ^ [_120908] : [aNaturalNumber0(_120908), true___, -(true___)], (152 ^ _116069) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _116069) ^ [_121216] : [aNaturalNumber0(_121216), 157 ^ _116069 : [(158 ^ _116069) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_121216)))], (160 ^ _116069) ^ [] : [szszuzczcdt0(_121216) = sz00]]], (162 ^ _116069) ^ [_121484] : [170 ^ _116069 : [(171 ^ _116069) ^ [] : [-(aNaturalNumber0(169 ^ [_121484]))], (173 ^ _116069) ^ [] : [-(_121484 = szszuzczcdt0(169 ^ [_121484]))]], aNaturalNumber0(_121484), -(_121484 = sz00)], (175 ^ _116069) ^ [_121912, _121914] : [aNaturalNumber0(_121914), aNaturalNumber0(_121912), szszuzczcdt0(_121914) = szszuzczcdt0(_121912), -(_121914 = _121912)], (189 ^ _116069) ^ [_122306, _122308] : [aNaturalNumber0(_122308), aNaturalNumber0(_122306), iLess0(_122308, _122306), true___, -(true___)], (207 ^ _116069) ^ [_122752] : [aNaturalNumber0(_122752), -(iLess0(_122752, szszuzczcdt0(_122752)))], (213 ^ _116069) ^ [_122944] : [aScalar0(_122944), true___, -(true___)], (223 ^ _116069) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _116069) ^ [_123266, _123268] : [-(aScalar0(sdtpldt0(_123268, _123266))), aScalar0(_123268), aScalar0(_123266)], (235 ^ _116069) ^ [_123565, _123567] : [-(aScalar0(sdtasdt0(_123567, _123565))), aScalar0(_123567), aScalar0(_123565)], (245 ^ _116069) ^ [_123850] : [aScalar0(_123850), -(aScalar0(smndt0(_123850)))], (251 ^ _116069) ^ [_124040] : [aScalar0(_124040), 254 ^ _116069 : [(255 ^ _116069) ^ [] : [-(sdtpldt0(_124040, sz0z00) = _124040)], (257 ^ _116069) ^ [] : [-(sdtpldt0(sz0z00, _124040) = _124040)], (259 ^ _116069) ^ [] : [-(sdtasdt0(_124040, sz0z00) = sz0z00)], (261 ^ _116069) ^ [] : [-(sdtasdt0(sz0z00, _124040) = sz0z00)], (263 ^ _116069) ^ [] : [-(sdtpldt0(_124040, smndt0(_124040)) = sz0z00)], (265 ^ _116069) ^ [] : [-(sdtpldt0(smndt0(_124040), _124040) = sz0z00)], (267 ^ _116069) ^ [] : [-(smndt0(smndt0(_124040)) = _124040)], (269 ^ _116069) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _116069) ^ [_124807, _124809, _124811] : [282 ^ _116069 : [(283 ^ _116069) ^ [] : [-(sdtpldt0(sdtpldt0(_124811, _124809), _124807) = sdtpldt0(_124811, sdtpldt0(_124809, _124807)))], (285 ^ _116069) ^ [] : [-(sdtpldt0(_124811, _124809) = sdtpldt0(_124809, _124811))], (287 ^ _116069) ^ [] : [-(sdtasdt0(sdtasdt0(_124811, _124809), _124807) = sdtasdt0(_124811, sdtasdt0(_124809, _124807)))], (289 ^ _116069) ^ [] : [-(sdtasdt0(_124811, _124809) = sdtasdt0(_124809, _124811))]], aScalar0(_124811), aScalar0(_124809), aScalar0(_124807)], (291 ^ _116069) ^ [_125518, _125520, _125522] : [302 ^ _116069 : [(303 ^ _116069) ^ [] : [-(sdtasdt0(_125522, sdtpldt0(_125520, _125518)) = sdtpldt0(sdtasdt0(_125522, _125520), sdtasdt0(_125522, _125518)))], (305 ^ _116069) ^ [] : [-(sdtasdt0(sdtpldt0(_125522, _125520), _125518) = sdtpldt0(sdtasdt0(_125522, _125518), sdtasdt0(_125520, _125518)))]], aScalar0(_125522), aScalar0(_125520), aScalar0(_125518)], (307 ^ _116069) ^ [_126079, _126081, _126083, _126085] : [-(sdtasdt0(sdtpldt0(_126085, _126083), sdtpldt0(_126081, _126079)) = sdtpldt0(sdtpldt0(sdtasdt0(_126085, _126081), sdtasdt0(_126085, _126079)), sdtpldt0(sdtasdt0(_126083, _126081), sdtasdt0(_126083, _126079)))), aScalar0(_126085), aScalar0(_126083), aScalar0(_126081), aScalar0(_126079)], (325 ^ _116069) ^ [_126644, _126646] : [332 ^ _116069 : [(333 ^ _116069) ^ [] : [-(sdtasdt0(_126646, smndt0(_126644)) = smndt0(sdtasdt0(_126646, _126644)))], (335 ^ _116069) ^ [] : [-(sdtasdt0(smndt0(_126646), _126644) = smndt0(sdtasdt0(_126646, _126644)))]], aScalar0(_126646), aScalar0(_126644)], (337 ^ _116069) ^ [_127054, _127056] : [-(sdtasdt0(smndt0(_127056), smndt0(_127054)) = sdtasdt0(_127056, _127054)), aScalar0(_127056), aScalar0(_127054)], (347 ^ _116069) ^ [_127369, _127371] : [aScalar0(_127371), aScalar0(_127369), sdtlseqdt0(_127371, _127369), true___, -(true___)], (365 ^ _116069) ^ [_127815] : [aScalar0(_127815), -(sdtlseqdt0(_127815, _127815))], (371 ^ _116069) ^ [_128017, _128019] : [aScalar0(_128019), aScalar0(_128017), -(_128019 = _128017), sdtlseqdt0(_128019, _128017), sdtlseqdt0(_128017, _128019)], (389 ^ _116069) ^ [_128506, _128508, _128510] : [aScalar0(_128510), aScalar0(_128508), aScalar0(_128506), -(sdtlseqdt0(_128510, _128506)), sdtlseqdt0(_128510, _128508), sdtlseqdt0(_128508, _128506)], (411 ^ _116069) ^ [_129120, _129122, _129124, _129126] : [-(sdtlseqdt0(sdtpldt0(_129126, _129122), sdtpldt0(_129124, _129120))), sdtlseqdt0(_129126, _129124), sdtlseqdt0(_129122, _129120), aScalar0(_129126), aScalar0(_129124), aScalar0(_129122), aScalar0(_129120)], (437 ^ _116069) ^ [_129863, _129865, _129867, _129869] : [aScalar0(_129869), aScalar0(_129867), aScalar0(_129865), aScalar0(_129863), -(sdtlseqdt0(sdtasdt0(_129869, _129865), sdtasdt0(_129867, _129863))), sdtlseqdt0(_129869, _129867), sdtlseqdt0(sz0z00, _129865), sdtlseqdt0(_129865, _129863)], (467 ^ _116069) ^ [_130677, _130679] : [aScalar0(_130679), aScalar0(_130677), -(sdtlseqdt0(_130679, _130677)), -(sdtlseqdt0(_130677, _130679))], (481 ^ _116069) ^ [_131064, _131066] : [aScalar0(_131066), aScalar0(_131064), 496 ^ _116069 : [(497 ^ _116069) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_131066, _131064)))], (499 ^ _116069) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_131066, _131064)))]], sdtlseqdt0(sz0z00, _131066), sdtlseqdt0(sz0z00, _131064)], (501 ^ _116069) ^ [_131612] : [aScalar0(_131612), -(sdtlseqdt0(sz0z00, sdtasdt0(_131612, _131612)))], (507 ^ _116069) ^ [_131820, _131822] : [aScalar0(_131822), aScalar0(_131820), -(_131822 = _131820), sdtlseqdt0(sz0z00, _131822), sdtlseqdt0(sz0z00, _131820), sdtasdt0(_131822, _131822) = sdtasdt0(_131820, _131820)], (529 ^ _116069) ^ [_132382] : [aVector0(_132382), true___, -(true___)], (539 ^ _116069) ^ [_132637] : [aVector0(_132637), -(aNaturalNumber0(aDimensionOf0(_132637)))], (545 ^ _116069) ^ [_132841, _132843] : [-(aScalar0(sdtlbdtrb0(_132843, _132841))), aVector0(_132843), aNaturalNumber0(_132841)], (555 ^ _116069) ^ [_133126] : [aVector0(_133126), -(aDimensionOf0(_133126) = sz00), 562 ^ _116069 : [(563 ^ _116069) ^ [_133409] : [_133409 = sziznziztdt0(_133126), 566 ^ _116069 : [(567 ^ _116069) ^ [] : [-(aVector0(_133409))], (569 ^ _116069) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_133409)) = aDimensionOf0(_133126))], (571 ^ _116069) ^ [_133711] : [aNaturalNumber0(_133711), -(sdtlbdtrb0(_133409, _133711) = sdtlbdtrb0(_133126, _133711))]]], (577 ^ _116069) ^ [_133902] : [-(_133902 = sziznziztdt0(_133126)), aVector0(_133902), szszuzczcdt0(aDimensionOf0(_133902)) = aDimensionOf0(_133126), 587 ^ _116069 : [(588 ^ _116069) ^ [] : [-(aNaturalNumber0(586 ^ [_133126, _133902]))], (590 ^ _116069) ^ [] : [sdtlbdtrb0(_133902, 586 ^ [_133126, _133902]) = sdtlbdtrb0(_133126, 586 ^ [_133126, _133902])]]]]], (594 ^ _116069) ^ [_134484, _134486] : [aVector0(_134486), aVector0(_134484), -(aDimensionOf0(sziznziztdt0(_134486)) = aDimensionOf0(sziznziztdt0(_134484))), aDimensionOf0(_134486) = aDimensionOf0(_134484), -(aDimensionOf0(_134484) = sz00)], (612 ^ _116069) ^ [_134990, _134992] : [aVector0(_134992), aVector0(_134990), aDimensionOf0(_134992) = aDimensionOf0(_134990), -(aScalar0(sdtasasdt0(_134992, _134990)))], (626 ^ _116069) ^ [_135388, _135390] : [aVector0(_135390), aVector0(_135388), -(sdtasasdt0(_135390, _135388) = sz0z00), aDimensionOf0(_135390) = aDimensionOf0(_135388), aDimensionOf0(_135388) = sz00], (644 ^ _116069) ^ [_135881, _135883] : [aVector0(_135883), aVector0(_135881), -(sdtasasdt0(_135883, _135881) = sdtpldt0(sdtasasdt0(sziznziztdt0(_135883), sziznziztdt0(_135881)), sdtasdt0(sdtlbdtrb0(_135883, aDimensionOf0(_135883)), sdtlbdtrb0(_135881, aDimensionOf0(_135881))))), aDimensionOf0(_135883) = aDimensionOf0(_135881), -(aDimensionOf0(_135881) = sz00)], (662 ^ _116069) ^ [_136409] : [aVector0(_136409), -(sdtlseqdt0(sz0z00, sdtasasdt0(_136409, _136409)))], (668 ^ _116069) ^ [] : [-(aVector0(xs))], (670 ^ _116069) ^ [] : [-(aVector0(xt))], (690 ^ _116069) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _116069) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _116069) ^ [] : [-(aVector0(xp))], (696 ^ _116069) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _116069) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _116069) ^ [_137465] : [aNaturalNumber0(_137465), -(sdtlbdtrb0(xp, _137465) = sdtlbdtrb0(xs, _137465))], (718 ^ _116069) ^ [] : [-(aScalar0(xA))], (720 ^ _116069) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _116069) ^ [] : [-(aScalar0(xB))], (724 ^ _116069) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _116069) ^ [] : [-(aScalar0(xC))], (728 ^ _116069) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _116069) ^ [] : [-(aScalar0(xD))], (732 ^ _116069) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _116069) ^ [] : [-(aScalar0(xE))], (736 ^ _116069) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _116069) ^ [] : [-(aScalar0(xF))], (740 ^ _116069) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _116069) ^ [] : [-(aScalar0(xG))], (744 ^ _116069) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _116069) ^ [] : [-(aScalar0(xH))], (748 ^ _116069) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _116069) ^ [] : [-(aScalar0(xR))], (752 ^ _116069) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _116069) ^ [] : [-(aScalar0(xP))], (756 ^ _116069) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _116069) ^ [] : [-(aScalar0(xS))], (760 ^ _116069) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _116069) ^ [] : [-(aScalar0(xN))], (764 ^ _116069) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _116069) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _116069) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (770 ^ _116069) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (772 ^ _116069) ^ [] : [-(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)))], (774 ^ _116069) ^ [] : [-(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), xN), sdtasdt0(xS, xS)), xN) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), xN), sdtpldt0(sdtasdt0(xS, xS), xN)))], (776 ^ _116069) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))))], (706 ^ _116069) ^ [] : [-(aVector0(xq))], (708 ^ _116069) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _116069) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _116069) ^ [_137830] : [aNaturalNumber0(_137830), -(sdtlbdtrb0(xq, _137830) = sdtlbdtrb0(xt, _137830))], (672 ^ _116069) ^ [_136725, _136727] : [aVector0(_136727), aVector0(_136725), aDimensionOf0(_136727) = aDimensionOf0(_136725), iLess0(aDimensionOf0(_136727), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_136727, _136725), sdtasasdt0(_136727, _136725)), sdtasdt0(sdtasasdt0(_136727, _136727), sdtasasdt0(_136725, _136725))))]], input).
% 125.67/122.27 ncf('1',plain,[sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))],start(778 ^ 0)).
% 125.67/122.27 ncf('1.1',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))],extension(64 ^ 1,bind([[_118174, _118176, _118178, _118180], [sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))]]))).
% 125.67/122.27 ncf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))],extension(64 ^ 2,bind([[_118174, _118176, _118178, _118180], [sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))]]))).
% 125.67/122.27 ncf('1.1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))))],extension(776 ^ 3)).
% 125.67/122.27 ncf('1.1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))))],extension(2 ^ 3,bind([[_116213], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))]]))).
% 125.67/122.27 ncf('1.1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))))],extension(2 ^ 3,bind([[_116213], [sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))]]))).
% 125.67/122.27 ncf('1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))],extension(4 ^ 2,bind([[_116320, _116322], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))]]))).
% 125.67/122.27 ncf('1.1.2.1',plain,[-(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))), aScalar0(xP), aScalar0(xP), aScalar0(xP), aScalar0(xP)],extension(307 ^ 3,bind([[_126079, _126081, _126083, _126085], [xP, xP, xP, xP]]))).
% 125.67/122.27 ncf('1.1.2.1.1',plain,[-(aScalar0(xP))],extension(754 ^ 4)).
% 125.67/122.27 ncf('1.1.2.1.2',plain,[-(aScalar0(xP))],lemmata('[2, 1, 1].x')).
% 125.67/122.27 ncf('1.1.2.1.3',plain,[-(aScalar0(xP))],lemmata('[2, 1, 1].x')).
% 125.67/122.27 ncf('1.1.2.1.4',plain,[-(aScalar0(xP))],lemmata('[2, 1, 1].x')).
% 125.67/122.27 ncf('1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))],extension(4 ^ 2,bind([[_116320, _116322], [sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))]]))).
% 125.67/122.27 ncf('1.1.3.1',plain,[-(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), aScalar0(xR), aScalar0(xS), aScalar0(xR), aScalar0(xS)],extension(307 ^ 3,bind([[_126079, _126081, _126083, _126085], [xS, xR, xS, xR]]))).
% 125.67/122.27 ncf('1.1.3.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 4)).
% 125.67/122.27 ncf('1.1.3.1.2',plain,[-(aScalar0(xS))],extension(758 ^ 4)).
% 125.67/122.27 ncf('1.1.3.1.3',plain,[-(aScalar0(xR))],lemmata('[3, 1, 1].x')).
% 125.67/122.27 ncf('1.1.3.1.4',plain,[-(aScalar0(xS))],lemmata('[3, 1, 1].x')).
% 125.67/122.27 %-----------------------------------------------------
% 125.67/122.27 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------