TSTP Solution File: RNG076+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG076+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n031.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 0.56s 1.37s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n031.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 20:50:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.56/1.37
% 0.56/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.56/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/1.37 %-----------------------------------------------------
% 0.56/1.37 ncf(matrix, plain, [(754 ^ _114309) ^ [] : [sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))], (78 ^ _114309) ^ [_116844, _116846] : [_116846 = _116844, -(smndt0(_116846) = smndt0(_116844))], (84 ^ _114309) ^ [_117062, _117064] : [_117064 = _117062, -(szszuzczcdt0(_117064) = szszuzczcdt0(_117062))], (90 ^ _114309) ^ [_117280, _117282] : [_117282 = _117280, -(sziznziztdt0(_117282) = sziznziztdt0(_117280))], (96 ^ _114309) ^ [_117526, _117528, _117530, _117532] : [-(sdtlbdtrb0(_117532, _117528) = sdtlbdtrb0(_117530, _117526)), _117532 = _117530, _117528 = _117526], (106 ^ _114309) ^ [_117857, _117859] : [_117859 = _117857, -(aDimensionOf0(_117859) = aDimensionOf0(_117857))], (112 ^ _114309) ^ [_118103, _118105, _118107, _118109] : [-(sdtasasdt0(_118109, _118105) = sdtasasdt0(_118107, _118103)), _118109 = _118107, _118105 = _118103], (122 ^ _114309) ^ [_118462, _118464, _118466, _118468] : [-(sdtpldt0(_118468, _118464) = sdtpldt0(_118466, _118462)), _118468 = _118466, _118464 = _118462], (132 ^ _114309) ^ [_118801, _118803, _118805, _118807] : [-(sdtasdt0(_118807, _118803) = sdtasdt0(_118805, _118801)), _118807 = _118805, _118803 = _118801], (2 ^ _114309) ^ [_114453] : [-(_114453 = _114453)], (4 ^ _114309) ^ [_114560, _114562] : [_114562 = _114560, -(_114560 = _114562)], (10 ^ _114309) ^ [_114764, _114766, _114768] : [-(_114768 = _114764), _114768 = _114766, _114766 = _114764], (20 ^ _114309) ^ [_115077, _115079] : [-(aNaturalNumber0(_115077)), _115079 = _115077, aNaturalNumber0(_115079)], (30 ^ _114309) ^ [_115400, _115402, _115404, _115406] : [-(iLess0(_115404, _115400)), iLess0(_115406, _115402), _115406 = _115404, _115402 = _115400], (44 ^ _114309) ^ [_115816, _115818] : [-(aVector0(_115816)), _115818 = _115816, aVector0(_115818)], (54 ^ _114309) ^ [_116111, _116113] : [-(aScalar0(_116111)), _116113 = _116111, aScalar0(_116113)], (64 ^ _114309) ^ [_116414, _116416, _116418, _116420] : [-(sdtlseqdt0(_116418, _116414)), sdtlseqdt0(_116420, _116416), _116420 = _116418, _116416 = _116414], (142 ^ _114309) ^ [_119148] : [aNaturalNumber0(_119148), true___, -(true___)], (152 ^ _114309) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _114309) ^ [_119456] : [aNaturalNumber0(_119456), 157 ^ _114309 : [(158 ^ _114309) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_119456)))], (160 ^ _114309) ^ [] : [szszuzczcdt0(_119456) = sz00]]], (162 ^ _114309) ^ [_119724] : [170 ^ _114309 : [(171 ^ _114309) ^ [] : [-(aNaturalNumber0(169 ^ [_119724]))], (173 ^ _114309) ^ [] : [-(_119724 = szszuzczcdt0(169 ^ [_119724]))]], aNaturalNumber0(_119724), -(_119724 = sz00)], (175 ^ _114309) ^ [_120152, _120154] : [aNaturalNumber0(_120154), aNaturalNumber0(_120152), szszuzczcdt0(_120154) = szszuzczcdt0(_120152), -(_120154 = _120152)], (189 ^ _114309) ^ [_120546, _120548] : [aNaturalNumber0(_120548), aNaturalNumber0(_120546), iLess0(_120548, _120546), true___, -(true___)], (207 ^ _114309) ^ [_120992] : [aNaturalNumber0(_120992), -(iLess0(_120992, szszuzczcdt0(_120992)))], (213 ^ _114309) ^ [_121184] : [aScalar0(_121184), true___, -(true___)], (223 ^ _114309) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _114309) ^ [_121506, _121508] : [-(aScalar0(sdtpldt0(_121508, _121506))), aScalar0(_121508), aScalar0(_121506)], (235 ^ _114309) ^ [_121805, _121807] : [-(aScalar0(sdtasdt0(_121807, _121805))), aScalar0(_121807), aScalar0(_121805)], (245 ^ _114309) ^ [_122090] : [aScalar0(_122090), -(aScalar0(smndt0(_122090)))], (251 ^ _114309) ^ [_122280] : [aScalar0(_122280), 254 ^ _114309 : [(255 ^ _114309) ^ [] : [-(sdtpldt0(_122280, sz0z00) = _122280)], (257 ^ _114309) ^ [] : [-(sdtpldt0(sz0z00, _122280) = _122280)], (259 ^ _114309) ^ [] : [-(sdtasdt0(_122280, sz0z00) = sz0z00)], (261 ^ _114309) ^ [] : [-(sdtasdt0(sz0z00, _122280) = sz0z00)], (263 ^ _114309) ^ [] : [-(sdtpldt0(_122280, smndt0(_122280)) = sz0z00)], (265 ^ _114309) ^ [] : [-(sdtpldt0(smndt0(_122280), _122280) = sz0z00)], (267 ^ _114309) ^ [] : [-(smndt0(smndt0(_122280)) = _122280)], (269 ^ _114309) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _114309) ^ [_123047, _123049, _123051] : [282 ^ _114309 : [(283 ^ _114309) ^ [] : [-(sdtpldt0(sdtpldt0(_123051, _123049), _123047) = sdtpldt0(_123051, sdtpldt0(_123049, _123047)))], (285 ^ _114309) ^ [] : [-(sdtpldt0(_123051, _123049) = sdtpldt0(_123049, _123051))], (287 ^ _114309) ^ [] : [-(sdtasdt0(sdtasdt0(_123051, _123049), _123047) = sdtasdt0(_123051, sdtasdt0(_123049, _123047)))], (289 ^ _114309) ^ [] : [-(sdtasdt0(_123051, _123049) = sdtasdt0(_123049, _123051))]], aScalar0(_123051), aScalar0(_123049), aScalar0(_123047)], (291 ^ _114309) ^ [_123758, _123760, _123762] : [302 ^ _114309 : [(303 ^ _114309) ^ [] : [-(sdtasdt0(_123762, sdtpldt0(_123760, _123758)) = sdtpldt0(sdtasdt0(_123762, _123760), sdtasdt0(_123762, _123758)))], (305 ^ _114309) ^ [] : [-(sdtasdt0(sdtpldt0(_123762, _123760), _123758) = sdtpldt0(sdtasdt0(_123762, _123758), sdtasdt0(_123760, _123758)))]], aScalar0(_123762), aScalar0(_123760), aScalar0(_123758)], (307 ^ _114309) ^ [_124319, _124321, _124323, _124325] : [-(sdtasdt0(sdtpldt0(_124325, _124323), sdtpldt0(_124321, _124319)) = sdtpldt0(sdtpldt0(sdtasdt0(_124325, _124321), sdtasdt0(_124325, _124319)), sdtpldt0(sdtasdt0(_124323, _124321), sdtasdt0(_124323, _124319)))), aScalar0(_124325), aScalar0(_124323), aScalar0(_124321), aScalar0(_124319)], (325 ^ _114309) ^ [_124884, _124886] : [332 ^ _114309 : [(333 ^ _114309) ^ [] : [-(sdtasdt0(_124886, smndt0(_124884)) = smndt0(sdtasdt0(_124886, _124884)))], (335 ^ _114309) ^ [] : [-(sdtasdt0(smndt0(_124886), _124884) = smndt0(sdtasdt0(_124886, _124884)))]], aScalar0(_124886), aScalar0(_124884)], (337 ^ _114309) ^ [_125294, _125296] : [-(sdtasdt0(smndt0(_125296), smndt0(_125294)) = sdtasdt0(_125296, _125294)), aScalar0(_125296), aScalar0(_125294)], (347 ^ _114309) ^ [_125609, _125611] : [aScalar0(_125611), aScalar0(_125609), sdtlseqdt0(_125611, _125609), true___, -(true___)], (365 ^ _114309) ^ [_126055] : [aScalar0(_126055), -(sdtlseqdt0(_126055, _126055))], (371 ^ _114309) ^ [_126257, _126259] : [aScalar0(_126259), aScalar0(_126257), -(_126259 = _126257), sdtlseqdt0(_126259, _126257), sdtlseqdt0(_126257, _126259)], (389 ^ _114309) ^ [_126746, _126748, _126750] : [aScalar0(_126750), aScalar0(_126748), aScalar0(_126746), -(sdtlseqdt0(_126750, _126746)), sdtlseqdt0(_126750, _126748), sdtlseqdt0(_126748, _126746)], (411 ^ _114309) ^ [_127360, _127362, _127364, _127366] : [-(sdtlseqdt0(sdtpldt0(_127366, _127362), sdtpldt0(_127364, _127360))), sdtlseqdt0(_127366, _127364), sdtlseqdt0(_127362, _127360), aScalar0(_127366), aScalar0(_127364), aScalar0(_127362), aScalar0(_127360)], (437 ^ _114309) ^ [_128103, _128105, _128107, _128109] : [aScalar0(_128109), aScalar0(_128107), aScalar0(_128105), aScalar0(_128103), -(sdtlseqdt0(sdtasdt0(_128109, _128105), sdtasdt0(_128107, _128103))), sdtlseqdt0(_128109, _128107), sdtlseqdt0(sz0z00, _128105), sdtlseqdt0(_128105, _128103)], (467 ^ _114309) ^ [_128917, _128919] : [aScalar0(_128919), aScalar0(_128917), -(sdtlseqdt0(_128919, _128917)), -(sdtlseqdt0(_128917, _128919))], (481 ^ _114309) ^ [_129304, _129306] : [aScalar0(_129306), aScalar0(_129304), 496 ^ _114309 : [(497 ^ _114309) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_129306, _129304)))], (499 ^ _114309) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_129306, _129304)))]], sdtlseqdt0(sz0z00, _129306), sdtlseqdt0(sz0z00, _129304)], (501 ^ _114309) ^ [_129852] : [aScalar0(_129852), -(sdtlseqdt0(sz0z00, sdtasdt0(_129852, _129852)))], (507 ^ _114309) ^ [_130060, _130062] : [aScalar0(_130062), aScalar0(_130060), -(_130062 = _130060), sdtlseqdt0(sz0z00, _130062), sdtlseqdt0(sz0z00, _130060), sdtasdt0(_130062, _130062) = sdtasdt0(_130060, _130060)], (529 ^ _114309) ^ [_130622] : [aVector0(_130622), true___, -(true___)], (539 ^ _114309) ^ [_130877] : [aVector0(_130877), -(aNaturalNumber0(aDimensionOf0(_130877)))], (545 ^ _114309) ^ [_131081, _131083] : [-(aScalar0(sdtlbdtrb0(_131083, _131081))), aVector0(_131083), aNaturalNumber0(_131081)], (555 ^ _114309) ^ [_131366] : [aVector0(_131366), -(aDimensionOf0(_131366) = sz00), 562 ^ _114309 : [(563 ^ _114309) ^ [_131649] : [_131649 = sziznziztdt0(_131366), 566 ^ _114309 : [(567 ^ _114309) ^ [] : [-(aVector0(_131649))], (569 ^ _114309) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_131649)) = aDimensionOf0(_131366))], (571 ^ _114309) ^ [_131951] : [aNaturalNumber0(_131951), -(sdtlbdtrb0(_131649, _131951) = sdtlbdtrb0(_131366, _131951))]]], (577 ^ _114309) ^ [_132142] : [-(_132142 = sziznziztdt0(_131366)), aVector0(_132142), szszuzczcdt0(aDimensionOf0(_132142)) = aDimensionOf0(_131366), 587 ^ _114309 : [(588 ^ _114309) ^ [] : [-(aNaturalNumber0(586 ^ [_131366, _132142]))], (590 ^ _114309) ^ [] : [sdtlbdtrb0(_132142, 586 ^ [_131366, _132142]) = sdtlbdtrb0(_131366, 586 ^ [_131366, _132142])]]]]], (594 ^ _114309) ^ [_132724, _132726] : [aVector0(_132726), aVector0(_132724), -(aDimensionOf0(sziznziztdt0(_132726)) = aDimensionOf0(sziznziztdt0(_132724))), aDimensionOf0(_132726) = aDimensionOf0(_132724), -(aDimensionOf0(_132724) = sz00)], (612 ^ _114309) ^ [_133230, _133232] : [aVector0(_133232), aVector0(_133230), aDimensionOf0(_133232) = aDimensionOf0(_133230), -(aScalar0(sdtasasdt0(_133232, _133230)))], (626 ^ _114309) ^ [_133628, _133630] : [aVector0(_133630), aVector0(_133628), -(sdtasasdt0(_133630, _133628) = sz0z00), aDimensionOf0(_133630) = aDimensionOf0(_133628), aDimensionOf0(_133628) = sz00], (644 ^ _114309) ^ [_134121, _134123] : [aVector0(_134123), aVector0(_134121), -(sdtasasdt0(_134123, _134121) = sdtpldt0(sdtasasdt0(sziznziztdt0(_134123), sziznziztdt0(_134121)), sdtasdt0(sdtlbdtrb0(_134123, aDimensionOf0(_134123)), sdtlbdtrb0(_134121, aDimensionOf0(_134121))))), aDimensionOf0(_134123) = aDimensionOf0(_134121), -(aDimensionOf0(_134121) = sz00)], (662 ^ _114309) ^ [_134649] : [aVector0(_134649), -(sdtlseqdt0(sz0z00, sdtasasdt0(_134649, _134649)))], (668 ^ _114309) ^ [] : [-(aVector0(xs))], (670 ^ _114309) ^ [] : [-(aVector0(xt))], (690 ^ _114309) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _114309) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _114309) ^ [] : [-(aVector0(xp))], (696 ^ _114309) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _114309) ^ [] : [-(aVector0(xq))], (700 ^ _114309) ^ [] : [-(xq = sziznziztdt0(xt))], (702 ^ _114309) ^ [] : [-(aScalar0(xA))], (704 ^ _114309) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (706 ^ _114309) ^ [] : [-(aScalar0(xB))], (708 ^ _114309) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (710 ^ _114309) ^ [] : [-(aScalar0(xC))], (712 ^ _114309) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (714 ^ _114309) ^ [] : [-(aScalar0(xD))], (716 ^ _114309) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (718 ^ _114309) ^ [] : [-(aScalar0(xE))], (720 ^ _114309) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (722 ^ _114309) ^ [] : [-(aScalar0(xF))], (724 ^ _114309) ^ [] : [-(xF = sdtasdt0(xA, xA))], (726 ^ _114309) ^ [] : [-(aScalar0(xG))], (728 ^ _114309) ^ [] : [-(xG = sdtasdt0(xB, xB))], (730 ^ _114309) ^ [] : [-(aScalar0(xH))], (732 ^ _114309) ^ [] : [-(xH = sdtasdt0(xA, xB))], (734 ^ _114309) ^ [] : [-(aScalar0(xR))], (736 ^ _114309) ^ [] : [-(xR = sdtasdt0(xC, xG))], (738 ^ _114309) ^ [] : [-(aScalar0(xP))], (740 ^ _114309) ^ [] : [-(xP = sdtasdt0(xE, xH))], (742 ^ _114309) ^ [] : [-(aScalar0(xS))], (744 ^ _114309) ^ [] : [-(xS = sdtasdt0(xF, xD))], (746 ^ _114309) ^ [] : [-(aScalar0(xN))], (748 ^ _114309) ^ [] : [-(xN = sdtasdt0(xR, xS))], (750 ^ _114309) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (752 ^ _114309) ^ [] : [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], (672 ^ _114309) ^ [_134965, _134967] : [aVector0(_134967), aVector0(_134965), aDimensionOf0(_134967) = aDimensionOf0(_134965), iLess0(aDimensionOf0(_134967), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_134967, _134965), sdtasasdt0(_134967, _134965)), sdtasdt0(sdtasasdt0(_134967, _134967), sdtasasdt0(_134965, _134965))))]], input).
% 0.56/1.37 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(754 ^ 0)).
% 0.56/1.37 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([[_127360, _127362, _127364, _127366], [sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtasdt0(xC, xD), sdtasdt0(xE, xE)]]))).
% 0.56/1.37 ncf('1.1.1',plain,[-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))],extension(750 ^ 2)).
% 0.56/1.37 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([[_127360, _127362, _127364, _127366], [sdtasdt0(xH, xH), sdtasdt0(xH, xH), sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.56/1.37 ncf('1.1.2.1',plain,[-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))],extension(752 ^ 3)).
% 0.56/1.37 ncf('1.1.2.2',plain,[-(sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH))), aScalar0(sdtasdt0(xH, xH))],extension(365 ^ 3,bind([[_126055], [sdtasdt0(xH, xH)]]))).
% 0.56/1.37 ncf('1.1.2.2.1',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 4,bind([[_121805, _121807], [xH, xH]]))).
% 0.56/1.37 ncf('1.1.2.2.1.1',plain,[-(aScalar0(xH))],extension(730 ^ 5)).
% 0.56/1.37 ncf('1.1.2.2.1.2',plain,[-(aScalar0(xH))],lemmata('[2, 2, 1, 1].x')).
% 0.56/1.37 ncf('1.1.2.3',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 3,bind([[_121506, _121508], [xP, xP]]))).
% 0.56/1.37 ncf('1.1.2.3.1',plain,[-(aScalar0(xP))],extension(738 ^ 4)).
% 0.56/1.37 ncf('1.1.2.3.2',plain,[-(aScalar0(xP))],lemmata('[2, 1, 1].x')).
% 0.56/1.37 ncf('1.1.2.4',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 3,bind([[_121506, _121508], [xS, xR]]))).
% 0.56/1.37 ncf('1.1.2.4.1',plain,[-(aScalar0(xR))],extension(734 ^ 4)).
% 0.56/1.37 ncf('1.1.2.4.2',plain,[-(aScalar0(xS))],extension(742 ^ 4)).
% 0.56/1.37 ncf('1.1.2.5',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_121805, _121807], [xH, xH]]))).
% 0.56/1.37 ncf('1.1.2.5.1',plain,[-(aScalar0(xH))],extension(730 ^ 4)).
% 0.56/1.37 ncf('1.1.2.5.2',plain,[-(aScalar0(xH))],lemmata('[2, 1, 1].x')).
% 0.56/1.37 ncf('1.1.2.6',plain,[-(aScalar0(sdtasdt0(xH, xH)))],lemmata('[1, 1].x')).
% 0.56/1.37 ncf('1.1.3',plain,[-(aScalar0(sdtasdt0(xE, xE))), aScalar0(xE), aScalar0(xE)],extension(235 ^ 2,bind([[_121805, _121807], [xE, xE]]))).
% 0.56/1.37 ncf('1.1.3.1',plain,[-(aScalar0(xE))],extension(718 ^ 3)).
% 0.56/1.37 ncf('1.1.3.2',plain,[-(aScalar0(xE))],lemmata('[1, 1].x')).
% 0.56/1.37 ncf('1.1.4',plain,[-(aScalar0(sdtasdt0(xC, xD))), aScalar0(xC), aScalar0(xD)],extension(235 ^ 2,bind([[_121805, _121807], [xD, xC]]))).
% 0.56/1.37 ncf('1.1.4.1',plain,[-(aScalar0(xC))],extension(710 ^ 3)).
% 0.56/1.37 ncf('1.1.4.2',plain,[-(aScalar0(xD))],extension(714 ^ 3)).
% 0.56/1.37 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([[_121506, _121508], [sdtasdt0(xH, xH), sdtpldt0(xP, xP)]]))).
% 0.56/1.37 ncf('1.1.5.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 3,bind([[_121506, _121508], [xP, xP]]))).
% 0.56/1.37 ncf('1.1.5.1.1',plain,[-(aScalar0(xP))],extension(738 ^ 4)).
% 0.56/1.37 ncf('1.1.5.1.2',plain,[-(aScalar0(xP))],lemmata('[5, 1, 1].x')).
% 0.56/1.37 ncf('1.1.5.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_121805, _121807], [xH, xH]]))).
% 0.56/1.37 ncf('1.1.5.2.1',plain,[-(aScalar0(xH))],extension(730 ^ 4)).
% 0.56/1.37 ncf('1.1.5.2.2',plain,[-(aScalar0(xH))],lemmata('[5, 1, 1].x')).
% 0.56/1.37 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([[_121506, _121508], [sdtasdt0(xH, xH), sdtpldt0(xR, xS)]]))).
% 0.56/1.37 ncf('1.1.6.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 3,bind([[_121506, _121508], [xS, xR]]))).
% 0.56/1.37 ncf('1.1.6.1.1',plain,[-(aScalar0(xR))],extension(734 ^ 4)).
% 0.56/1.37 ncf('1.1.6.1.2',plain,[-(aScalar0(xS))],extension(742 ^ 4)).
% 0.56/1.37 ncf('1.1.6.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(235 ^ 3,bind([[_121805, _121807], [xH, xH]]))).
% 0.56/1.37 ncf('1.1.6.2.1',plain,[-(aScalar0(xH))],extension(730 ^ 4)).
% 0.56/1.37 ncf('1.1.6.2.2',plain,[-(aScalar0(xH))],lemmata('[6, 1, 1].x')).
% 0.56/1.37 %-----------------------------------------------------
% 0.56/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------