TSTP Solution File: RNG079+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG079+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n017.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 126.74s 123.37s
% Output : Proof 126.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG079+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n017.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 19:58:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 126.74/123.37
% 126.74/123.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 126.74/123.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 126.74/123.37 %-----------------------------------------------------
% 126.74/123.37 ncf(matrix, plain, [(776 ^ _115787) ^ [] : [sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))], (78 ^ _115787) ^ [_118322, _118324] : [_118324 = _118322, -(smndt0(_118324) = smndt0(_118322))], (84 ^ _115787) ^ [_118540, _118542] : [_118542 = _118540, -(szszuzczcdt0(_118542) = szszuzczcdt0(_118540))], (90 ^ _115787) ^ [_118758, _118760] : [_118760 = _118758, -(sziznziztdt0(_118760) = sziznziztdt0(_118758))], (96 ^ _115787) ^ [_119004, _119006, _119008, _119010] : [-(sdtlbdtrb0(_119010, _119006) = sdtlbdtrb0(_119008, _119004)), _119010 = _119008, _119006 = _119004], (106 ^ _115787) ^ [_119335, _119337] : [_119337 = _119335, -(aDimensionOf0(_119337) = aDimensionOf0(_119335))], (112 ^ _115787) ^ [_119581, _119583, _119585, _119587] : [-(sdtasasdt0(_119587, _119583) = sdtasasdt0(_119585, _119581)), _119587 = _119585, _119583 = _119581], (122 ^ _115787) ^ [_119940, _119942, _119944, _119946] : [-(sdtasdt0(_119946, _119942) = sdtasdt0(_119944, _119940)), _119946 = _119944, _119942 = _119940], (132 ^ _115787) ^ [_120279, _120281, _120283, _120285] : [-(sdtpldt0(_120285, _120281) = sdtpldt0(_120283, _120279)), _120285 = _120283, _120281 = _120279], (2 ^ _115787) ^ [_115931] : [-(_115931 = _115931)], (4 ^ _115787) ^ [_116038, _116040] : [_116040 = _116038, -(_116038 = _116040)], (10 ^ _115787) ^ [_116242, _116244, _116246] : [-(_116246 = _116242), _116246 = _116244, _116244 = _116242], (20 ^ _115787) ^ [_116583, _116585, _116587, _116589] : [-(iLess0(_116587, _116583)), iLess0(_116589, _116585), _116589 = _116587, _116585 = _116583], (34 ^ _115787) ^ [_116999, _117001] : [-(aVector0(_116999)), _117001 = _116999, aVector0(_117001)], (44 ^ _115787) ^ [_117294, _117296] : [-(aNaturalNumber0(_117294)), _117296 = _117294, aNaturalNumber0(_117296)], (54 ^ _115787) ^ [_117589, _117591] : [-(aScalar0(_117589)), _117591 = _117589, aScalar0(_117591)], (64 ^ _115787) ^ [_117892, _117894, _117896, _117898] : [-(sdtlseqdt0(_117896, _117892)), sdtlseqdt0(_117898, _117894), _117898 = _117896, _117894 = _117892], (142 ^ _115787) ^ [_120626] : [aNaturalNumber0(_120626), true___, -(true___)], (152 ^ _115787) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _115787) ^ [_120934] : [aNaturalNumber0(_120934), 157 ^ _115787 : [(158 ^ _115787) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_120934)))], (160 ^ _115787) ^ [] : [szszuzczcdt0(_120934) = sz00]]], (162 ^ _115787) ^ [_121202] : [170 ^ _115787 : [(171 ^ _115787) ^ [] : [-(aNaturalNumber0(169 ^ [_121202]))], (173 ^ _115787) ^ [] : [-(_121202 = szszuzczcdt0(169 ^ [_121202]))]], aNaturalNumber0(_121202), -(_121202 = sz00)], (175 ^ _115787) ^ [_121630, _121632] : [aNaturalNumber0(_121632), aNaturalNumber0(_121630), szszuzczcdt0(_121632) = szszuzczcdt0(_121630), -(_121632 = _121630)], (189 ^ _115787) ^ [_122024, _122026] : [aNaturalNumber0(_122026), aNaturalNumber0(_122024), iLess0(_122026, _122024), true___, -(true___)], (207 ^ _115787) ^ [_122470] : [aNaturalNumber0(_122470), -(iLess0(_122470, szszuzczcdt0(_122470)))], (213 ^ _115787) ^ [_122662] : [aScalar0(_122662), true___, -(true___)], (223 ^ _115787) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _115787) ^ [_122984, _122986] : [-(aScalar0(sdtpldt0(_122986, _122984))), aScalar0(_122986), aScalar0(_122984)], (235 ^ _115787) ^ [_123283, _123285] : [-(aScalar0(sdtasdt0(_123285, _123283))), aScalar0(_123285), aScalar0(_123283)], (245 ^ _115787) ^ [_123568] : [aScalar0(_123568), -(aScalar0(smndt0(_123568)))], (251 ^ _115787) ^ [_123758] : [aScalar0(_123758), 254 ^ _115787 : [(255 ^ _115787) ^ [] : [-(sdtpldt0(_123758, sz0z00) = _123758)], (257 ^ _115787) ^ [] : [-(sdtpldt0(sz0z00, _123758) = _123758)], (259 ^ _115787) ^ [] : [-(sdtasdt0(_123758, sz0z00) = sz0z00)], (261 ^ _115787) ^ [] : [-(sdtasdt0(sz0z00, _123758) = sz0z00)], (263 ^ _115787) ^ [] : [-(sdtpldt0(_123758, smndt0(_123758)) = sz0z00)], (265 ^ _115787) ^ [] : [-(sdtpldt0(smndt0(_123758), _123758) = sz0z00)], (267 ^ _115787) ^ [] : [-(smndt0(smndt0(_123758)) = _123758)], (269 ^ _115787) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _115787) ^ [_124525, _124527, _124529] : [282 ^ _115787 : [(283 ^ _115787) ^ [] : [-(sdtpldt0(sdtpldt0(_124529, _124527), _124525) = sdtpldt0(_124529, sdtpldt0(_124527, _124525)))], (285 ^ _115787) ^ [] : [-(sdtpldt0(_124529, _124527) = sdtpldt0(_124527, _124529))], (287 ^ _115787) ^ [] : [-(sdtasdt0(sdtasdt0(_124529, _124527), _124525) = sdtasdt0(_124529, sdtasdt0(_124527, _124525)))], (289 ^ _115787) ^ [] : [-(sdtasdt0(_124529, _124527) = sdtasdt0(_124527, _124529))]], aScalar0(_124529), aScalar0(_124527), aScalar0(_124525)], (291 ^ _115787) ^ [_125236, _125238, _125240] : [302 ^ _115787 : [(303 ^ _115787) ^ [] : [-(sdtasdt0(_125240, sdtpldt0(_125238, _125236)) = sdtpldt0(sdtasdt0(_125240, _125238), sdtasdt0(_125240, _125236)))], (305 ^ _115787) ^ [] : [-(sdtasdt0(sdtpldt0(_125240, _125238), _125236) = sdtpldt0(sdtasdt0(_125240, _125236), sdtasdt0(_125238, _125236)))]], aScalar0(_125240), aScalar0(_125238), aScalar0(_125236)], (307 ^ _115787) ^ [_125797, _125799, _125801, _125803] : [-(sdtasdt0(sdtpldt0(_125803, _125801), sdtpldt0(_125799, _125797)) = sdtpldt0(sdtpldt0(sdtasdt0(_125803, _125799), sdtasdt0(_125803, _125797)), sdtpldt0(sdtasdt0(_125801, _125799), sdtasdt0(_125801, _125797)))), aScalar0(_125803), aScalar0(_125801), aScalar0(_125799), aScalar0(_125797)], (325 ^ _115787) ^ [_126362, _126364] : [332 ^ _115787 : [(333 ^ _115787) ^ [] : [-(sdtasdt0(_126364, smndt0(_126362)) = smndt0(sdtasdt0(_126364, _126362)))], (335 ^ _115787) ^ [] : [-(sdtasdt0(smndt0(_126364), _126362) = smndt0(sdtasdt0(_126364, _126362)))]], aScalar0(_126364), aScalar0(_126362)], (337 ^ _115787) ^ [_126772, _126774] : [-(sdtasdt0(smndt0(_126774), smndt0(_126772)) = sdtasdt0(_126774, _126772)), aScalar0(_126774), aScalar0(_126772)], (347 ^ _115787) ^ [_127087, _127089] : [aScalar0(_127089), aScalar0(_127087), sdtlseqdt0(_127089, _127087), true___, -(true___)], (365 ^ _115787) ^ [_127533] : [aScalar0(_127533), -(sdtlseqdt0(_127533, _127533))], (371 ^ _115787) ^ [_127735, _127737] : [aScalar0(_127737), aScalar0(_127735), -(_127737 = _127735), sdtlseqdt0(_127737, _127735), sdtlseqdt0(_127735, _127737)], (389 ^ _115787) ^ [_128224, _128226, _128228] : [aScalar0(_128228), aScalar0(_128226), aScalar0(_128224), -(sdtlseqdt0(_128228, _128224)), sdtlseqdt0(_128228, _128226), sdtlseqdt0(_128226, _128224)], (411 ^ _115787) ^ [_128838, _128840, _128842, _128844] : [-(sdtlseqdt0(sdtpldt0(_128844, _128840), sdtpldt0(_128842, _128838))), sdtlseqdt0(_128844, _128842), sdtlseqdt0(_128840, _128838), aScalar0(_128844), aScalar0(_128842), aScalar0(_128840), aScalar0(_128838)], (437 ^ _115787) ^ [_129581, _129583, _129585, _129587] : [aScalar0(_129587), aScalar0(_129585), aScalar0(_129583), aScalar0(_129581), -(sdtlseqdt0(sdtasdt0(_129587, _129583), sdtasdt0(_129585, _129581))), sdtlseqdt0(_129587, _129585), sdtlseqdt0(sz0z00, _129583), sdtlseqdt0(_129583, _129581)], (467 ^ _115787) ^ [_130395, _130397] : [aScalar0(_130397), aScalar0(_130395), -(sdtlseqdt0(_130397, _130395)), -(sdtlseqdt0(_130395, _130397))], (481 ^ _115787) ^ [_130782, _130784] : [aScalar0(_130784), aScalar0(_130782), 496 ^ _115787 : [(497 ^ _115787) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_130784, _130782)))], (499 ^ _115787) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_130784, _130782)))]], sdtlseqdt0(sz0z00, _130784), sdtlseqdt0(sz0z00, _130782)], (501 ^ _115787) ^ [_131330] : [aScalar0(_131330), -(sdtlseqdt0(sz0z00, sdtasdt0(_131330, _131330)))], (507 ^ _115787) ^ [_131538, _131540] : [aScalar0(_131540), aScalar0(_131538), -(_131540 = _131538), sdtlseqdt0(sz0z00, _131540), sdtlseqdt0(sz0z00, _131538), sdtasdt0(_131540, _131540) = sdtasdt0(_131538, _131538)], (529 ^ _115787) ^ [_132100] : [aVector0(_132100), true___, -(true___)], (539 ^ _115787) ^ [_132355] : [aVector0(_132355), -(aNaturalNumber0(aDimensionOf0(_132355)))], (545 ^ _115787) ^ [_132559, _132561] : [-(aScalar0(sdtlbdtrb0(_132561, _132559))), aVector0(_132561), aNaturalNumber0(_132559)], (555 ^ _115787) ^ [_132844] : [aVector0(_132844), -(aDimensionOf0(_132844) = sz00), 562 ^ _115787 : [(563 ^ _115787) ^ [_133127] : [_133127 = sziznziztdt0(_132844), 566 ^ _115787 : [(567 ^ _115787) ^ [] : [-(aVector0(_133127))], (569 ^ _115787) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_133127)) = aDimensionOf0(_132844))], (571 ^ _115787) ^ [_133429] : [aNaturalNumber0(_133429), -(sdtlbdtrb0(_133127, _133429) = sdtlbdtrb0(_132844, _133429))]]], (577 ^ _115787) ^ [_133620] : [-(_133620 = sziznziztdt0(_132844)), aVector0(_133620), szszuzczcdt0(aDimensionOf0(_133620)) = aDimensionOf0(_132844), 587 ^ _115787 : [(588 ^ _115787) ^ [] : [-(aNaturalNumber0(586 ^ [_132844, _133620]))], (590 ^ _115787) ^ [] : [sdtlbdtrb0(_133620, 586 ^ [_132844, _133620]) = sdtlbdtrb0(_132844, 586 ^ [_132844, _133620])]]]]], (594 ^ _115787) ^ [_134202, _134204] : [aVector0(_134204), aVector0(_134202), -(aDimensionOf0(sziznziztdt0(_134204)) = aDimensionOf0(sziznziztdt0(_134202))), aDimensionOf0(_134204) = aDimensionOf0(_134202), -(aDimensionOf0(_134202) = sz00)], (612 ^ _115787) ^ [_134708, _134710] : [aVector0(_134710), aVector0(_134708), aDimensionOf0(_134710) = aDimensionOf0(_134708), -(aScalar0(sdtasasdt0(_134710, _134708)))], (626 ^ _115787) ^ [_135106, _135108] : [aVector0(_135108), aVector0(_135106), -(sdtasasdt0(_135108, _135106) = sz0z00), aDimensionOf0(_135108) = aDimensionOf0(_135106), aDimensionOf0(_135106) = sz00], (644 ^ _115787) ^ [_135599, _135601] : [aVector0(_135601), aVector0(_135599), -(sdtasasdt0(_135601, _135599) = sdtpldt0(sdtasasdt0(sziznziztdt0(_135601), sziznziztdt0(_135599)), sdtasdt0(sdtlbdtrb0(_135601, aDimensionOf0(_135601)), sdtlbdtrb0(_135599, aDimensionOf0(_135599))))), aDimensionOf0(_135601) = aDimensionOf0(_135599), -(aDimensionOf0(_135599) = sz00)], (662 ^ _115787) ^ [_136127] : [aVector0(_136127), -(sdtlseqdt0(sz0z00, sdtasasdt0(_136127, _136127)))], (668 ^ _115787) ^ [] : [-(aVector0(xs))], (670 ^ _115787) ^ [] : [-(aVector0(xt))], (690 ^ _115787) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _115787) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _115787) ^ [] : [-(aVector0(xp))], (696 ^ _115787) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _115787) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _115787) ^ [_137183] : [aNaturalNumber0(_137183), -(sdtlbdtrb0(xp, _137183) = sdtlbdtrb0(xs, _137183))], (718 ^ _115787) ^ [] : [-(aScalar0(xA))], (720 ^ _115787) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _115787) ^ [] : [-(aScalar0(xB))], (724 ^ _115787) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _115787) ^ [] : [-(aScalar0(xC))], (728 ^ _115787) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _115787) ^ [] : [-(aScalar0(xD))], (732 ^ _115787) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _115787) ^ [] : [-(aScalar0(xE))], (736 ^ _115787) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _115787) ^ [] : [-(aScalar0(xF))], (740 ^ _115787) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _115787) ^ [] : [-(aScalar0(xG))], (744 ^ _115787) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _115787) ^ [] : [-(aScalar0(xH))], (748 ^ _115787) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _115787) ^ [] : [-(aScalar0(xR))], (752 ^ _115787) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _115787) ^ [] : [-(aScalar0(xP))], (756 ^ _115787) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _115787) ^ [] : [-(aScalar0(xS))], (760 ^ _115787) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _115787) ^ [] : [-(aScalar0(xN))], (764 ^ _115787) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _115787) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _115787) ^ [] : [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], (770 ^ _115787) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))))], (772 ^ _115787) ^ [] : [-(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)) = sdtpldt0(sdtasdt0(xE, xH), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))))], (774 ^ _115787) ^ [] : [-(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)))))], (706 ^ _115787) ^ [] : [-(aVector0(xq))], (708 ^ _115787) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _115787) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _115787) ^ [_137548] : [aNaturalNumber0(_137548), -(sdtlbdtrb0(xq, _137548) = sdtlbdtrb0(xt, _137548))], (672 ^ _115787) ^ [_136443, _136445] : [aVector0(_136445), aVector0(_136443), aDimensionOf0(_136445) = aDimensionOf0(_136443), iLess0(aDimensionOf0(_136445), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_136445, _136443), sdtasasdt0(_136445, _136443)), sdtasdt0(sdtasasdt0(_136445, _136445), sdtasasdt0(_136443, _136443))))]], input).
% 126.74/123.37 ncf('1',plain,[sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))],start(776 ^ 0)).
% 126.74/123.37 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([[_117892, _117894, _117896, _117898], [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)))]]))).
% 126.74/123.37 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))))), 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))) = 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(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))],extension(64 ^ 2,bind([[_117892, _117894, _117896, _117898], [sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))), 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))), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))]]))).
% 126.74/123.37 ncf('1.1.1.1',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(774 ^ 3)).
% 126.74/123.37 ncf('1.1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))))],extension(2 ^ 3,bind([[_115931], [sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))]]))).
% 126.74/123.37 ncf('1.1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))))],extension(2 ^ 3,bind([[_115931], [sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))]]))).
% 126.74/123.37 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([[_116038, _116040], [sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH))]]))).
% 126.74/123.37 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([[_125797, _125799, _125801, _125803], [xH, xE, xH, xE]]))).
% 126.74/123.37 ncf('1.1.2.1.1',plain,[-(aScalar0(xE))],extension(734 ^ 4)).
% 126.74/123.37 ncf('1.1.2.1.2',plain,[-(aScalar0(xH))],extension(746 ^ 4)).
% 126.74/123.37 ncf('1.1.2.1.3',plain,[-(aScalar0(xE))],lemmata('[2, 1, 1].x')).
% 126.74/123.37 ncf('1.1.2.1.4',plain,[-(aScalar0(xH))],lemmata('[2, 1, 1].x')).
% 126.74/123.37 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([[_116038, _116040], [sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))]]))).
% 126.74/123.37 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([[_125797, _125799, _125801, _125803], [xG, xD, xF, xC]]))).
% 126.74/123.37 ncf('1.1.3.1.1',plain,[-(aScalar0(xC))],extension(726 ^ 4)).
% 126.74/123.37 ncf('1.1.3.1.2',plain,[-(aScalar0(xF))],extension(738 ^ 4)).
% 126.74/123.37 ncf('1.1.3.1.3',plain,[-(aScalar0(xD))],extension(730 ^ 4)).
% 126.74/123.37 ncf('1.1.3.1.4',plain,[-(aScalar0(xG))],extension(742 ^ 4)).
% 126.74/123.37 %-----------------------------------------------------
% 126.74/123.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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