TSTP Solution File: RNG074+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n022.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 0.51s 1.38s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.13/0.33 % Computer : n022.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 20:21:46 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.51/1.38
% 0.51/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.51/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/1.38 %-----------------------------------------------------
% 0.51/1.38 ncf(matrix, plain, [(770 ^ _111630) ^ [] : [false___, -(false___)], (78 ^ _111630) ^ [_114165, _114167] : [_114167 = _114165, -(smndt0(_114167) = smndt0(_114165))], (84 ^ _111630) ^ [_114383, _114385] : [_114385 = _114383, -(szszuzczcdt0(_114385) = szszuzczcdt0(_114383))], (90 ^ _111630) ^ [_114601, _114603] : [_114603 = _114601, -(sziznziztdt0(_114603) = sziznziztdt0(_114601))], (96 ^ _111630) ^ [_114847, _114849, _114851, _114853] : [-(sdtlbdtrb0(_114853, _114849) = sdtlbdtrb0(_114851, _114847)), _114853 = _114851, _114849 = _114847], (106 ^ _111630) ^ [_115178, _115180] : [_115180 = _115178, -(aDimensionOf0(_115180) = aDimensionOf0(_115178))], (112 ^ _111630) ^ [_115424, _115426, _115428, _115430] : [-(sdtasasdt0(_115430, _115426) = sdtasasdt0(_115428, _115424)), _115430 = _115428, _115426 = _115424], (122 ^ _111630) ^ [_115783, _115785, _115787, _115789] : [-(sdtasdt0(_115789, _115785) = sdtasdt0(_115787, _115783)), _115789 = _115787, _115785 = _115783], (132 ^ _111630) ^ [_116122, _116124, _116126, _116128] : [-(sdtpldt0(_116128, _116124) = sdtpldt0(_116126, _116122)), _116128 = _116126, _116124 = _116122], (2 ^ _111630) ^ [_111774] : [-(_111774 = _111774)], (4 ^ _111630) ^ [_111881, _111883] : [_111883 = _111881, -(_111881 = _111883)], (10 ^ _111630) ^ [_112085, _112087, _112089] : [-(_112089 = _112085), _112089 = _112087, _112087 = _112085], (20 ^ _111630) ^ [_112398, _112400] : [-(aNaturalNumber0(_112398)), _112400 = _112398, aNaturalNumber0(_112400)], (30 ^ _111630) ^ [_112721, _112723, _112725, _112727] : [-(iLess0(_112725, _112721)), iLess0(_112727, _112723), _112727 = _112725, _112723 = _112721], (44 ^ _111630) ^ [_113137, _113139] : [-(aVector0(_113137)), _113139 = _113137, aVector0(_113139)], (54 ^ _111630) ^ [_113432, _113434] : [-(aScalar0(_113432)), _113434 = _113432, aScalar0(_113434)], (64 ^ _111630) ^ [_113735, _113737, _113739, _113741] : [-(sdtlseqdt0(_113739, _113735)), sdtlseqdt0(_113741, _113737), _113741 = _113739, _113737 = _113735], (142 ^ _111630) ^ [_116469] : [aNaturalNumber0(_116469), true___, -(true___)], (152 ^ _111630) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _111630) ^ [_116777] : [aNaturalNumber0(_116777), 157 ^ _111630 : [(158 ^ _111630) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_116777)))], (160 ^ _111630) ^ [] : [szszuzczcdt0(_116777) = sz00]]], (162 ^ _111630) ^ [_117045] : [170 ^ _111630 : [(171 ^ _111630) ^ [] : [-(aNaturalNumber0(169 ^ [_117045]))], (173 ^ _111630) ^ [] : [-(_117045 = szszuzczcdt0(169 ^ [_117045]))]], aNaturalNumber0(_117045), -(_117045 = sz00)], (175 ^ _111630) ^ [_117473, _117475] : [aNaturalNumber0(_117475), aNaturalNumber0(_117473), szszuzczcdt0(_117475) = szszuzczcdt0(_117473), -(_117475 = _117473)], (189 ^ _111630) ^ [_117867, _117869] : [aNaturalNumber0(_117869), aNaturalNumber0(_117867), iLess0(_117869, _117867), true___, -(true___)], (207 ^ _111630) ^ [_118313] : [aNaturalNumber0(_118313), -(iLess0(_118313, szszuzczcdt0(_118313)))], (213 ^ _111630) ^ [_118505] : [aScalar0(_118505), true___, -(true___)], (223 ^ _111630) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _111630) ^ [_118827, _118829] : [-(aScalar0(sdtpldt0(_118829, _118827))), aScalar0(_118829), aScalar0(_118827)], (235 ^ _111630) ^ [_119126, _119128] : [-(aScalar0(sdtasdt0(_119128, _119126))), aScalar0(_119128), aScalar0(_119126)], (245 ^ _111630) ^ [_119411] : [aScalar0(_119411), -(aScalar0(smndt0(_119411)))], (251 ^ _111630) ^ [_119601] : [aScalar0(_119601), 254 ^ _111630 : [(255 ^ _111630) ^ [] : [-(sdtpldt0(_119601, sz0z00) = _119601)], (257 ^ _111630) ^ [] : [-(sdtpldt0(sz0z00, _119601) = _119601)], (259 ^ _111630) ^ [] : [-(sdtasdt0(_119601, sz0z00) = sz0z00)], (261 ^ _111630) ^ [] : [-(sdtasdt0(sz0z00, _119601) = sz0z00)], (263 ^ _111630) ^ [] : [-(sdtpldt0(_119601, smndt0(_119601)) = sz0z00)], (265 ^ _111630) ^ [] : [-(sdtpldt0(smndt0(_119601), _119601) = sz0z00)], (267 ^ _111630) ^ [] : [-(smndt0(smndt0(_119601)) = _119601)], (269 ^ _111630) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _111630) ^ [_120368, _120370, _120372] : [282 ^ _111630 : [(283 ^ _111630) ^ [] : [-(sdtpldt0(sdtpldt0(_120372, _120370), _120368) = sdtpldt0(_120372, sdtpldt0(_120370, _120368)))], (285 ^ _111630) ^ [] : [-(sdtpldt0(_120372, _120370) = sdtpldt0(_120370, _120372))], (287 ^ _111630) ^ [] : [-(sdtasdt0(sdtasdt0(_120372, _120370), _120368) = sdtasdt0(_120372, sdtasdt0(_120370, _120368)))], (289 ^ _111630) ^ [] : [-(sdtasdt0(_120372, _120370) = sdtasdt0(_120370, _120372))]], aScalar0(_120372), aScalar0(_120370), aScalar0(_120368)], (291 ^ _111630) ^ [_121079, _121081, _121083] : [302 ^ _111630 : [(303 ^ _111630) ^ [] : [-(sdtasdt0(_121083, sdtpldt0(_121081, _121079)) = sdtpldt0(sdtasdt0(_121083, _121081), sdtasdt0(_121083, _121079)))], (305 ^ _111630) ^ [] : [-(sdtasdt0(sdtpldt0(_121083, _121081), _121079) = sdtpldt0(sdtasdt0(_121083, _121079), sdtasdt0(_121081, _121079)))]], aScalar0(_121083), aScalar0(_121081), aScalar0(_121079)], (307 ^ _111630) ^ [_121640, _121642, _121644, _121646] : [-(sdtasdt0(sdtpldt0(_121646, _121644), sdtpldt0(_121642, _121640)) = sdtpldt0(sdtpldt0(sdtasdt0(_121646, _121642), sdtasdt0(_121646, _121640)), sdtpldt0(sdtasdt0(_121644, _121642), sdtasdt0(_121644, _121640)))), aScalar0(_121646), aScalar0(_121644), aScalar0(_121642), aScalar0(_121640)], (325 ^ _111630) ^ [_122205, _122207] : [332 ^ _111630 : [(333 ^ _111630) ^ [] : [-(sdtasdt0(_122207, smndt0(_122205)) = smndt0(sdtasdt0(_122207, _122205)))], (335 ^ _111630) ^ [] : [-(sdtasdt0(smndt0(_122207), _122205) = smndt0(sdtasdt0(_122207, _122205)))]], aScalar0(_122207), aScalar0(_122205)], (337 ^ _111630) ^ [_122615, _122617] : [-(sdtasdt0(smndt0(_122617), smndt0(_122615)) = sdtasdt0(_122617, _122615)), aScalar0(_122617), aScalar0(_122615)], (347 ^ _111630) ^ [_122930, _122932] : [aScalar0(_122932), aScalar0(_122930), sdtlseqdt0(_122932, _122930), true___, -(true___)], (365 ^ _111630) ^ [_123376] : [aScalar0(_123376), -(sdtlseqdt0(_123376, _123376))], (371 ^ _111630) ^ [_123578, _123580] : [aScalar0(_123580), aScalar0(_123578), -(_123580 = _123578), sdtlseqdt0(_123580, _123578), sdtlseqdt0(_123578, _123580)], (389 ^ _111630) ^ [_124067, _124069, _124071] : [aScalar0(_124071), aScalar0(_124069), aScalar0(_124067), -(sdtlseqdt0(_124071, _124067)), sdtlseqdt0(_124071, _124069), sdtlseqdt0(_124069, _124067)], (411 ^ _111630) ^ [_124681, _124683, _124685, _124687] : [-(sdtlseqdt0(sdtpldt0(_124687, _124683), sdtpldt0(_124685, _124681))), sdtlseqdt0(_124687, _124685), sdtlseqdt0(_124683, _124681), aScalar0(_124687), aScalar0(_124685), aScalar0(_124683), aScalar0(_124681)], (437 ^ _111630) ^ [_125424, _125426, _125428, _125430] : [aScalar0(_125430), aScalar0(_125428), aScalar0(_125426), aScalar0(_125424), -(sdtlseqdt0(sdtasdt0(_125430, _125426), sdtasdt0(_125428, _125424))), sdtlseqdt0(_125430, _125428), sdtlseqdt0(sz0z00, _125426), sdtlseqdt0(_125426, _125424)], (467 ^ _111630) ^ [_126238, _126240] : [aScalar0(_126240), aScalar0(_126238), -(sdtlseqdt0(_126240, _126238)), -(sdtlseqdt0(_126238, _126240))], (481 ^ _111630) ^ [_126625, _126627] : [aScalar0(_126627), aScalar0(_126625), 496 ^ _111630 : [(497 ^ _111630) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_126627, _126625)))], (499 ^ _111630) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_126627, _126625)))]], sdtlseqdt0(sz0z00, _126627), sdtlseqdt0(sz0z00, _126625)], (501 ^ _111630) ^ [_127173] : [aScalar0(_127173), -(sdtlseqdt0(sz0z00, sdtasdt0(_127173, _127173)))], (507 ^ _111630) ^ [_127381, _127383] : [aScalar0(_127383), aScalar0(_127381), -(_127383 = _127381), sdtlseqdt0(sz0z00, _127383), sdtlseqdt0(sz0z00, _127381), sdtasdt0(_127383, _127383) = sdtasdt0(_127381, _127381)], (529 ^ _111630) ^ [_127943] : [aVector0(_127943), true___, -(true___)], (539 ^ _111630) ^ [_128198] : [aVector0(_128198), -(aNaturalNumber0(aDimensionOf0(_128198)))], (545 ^ _111630) ^ [_128402, _128404] : [-(aScalar0(sdtlbdtrb0(_128404, _128402))), aVector0(_128404), aNaturalNumber0(_128402)], (555 ^ _111630) ^ [_128687] : [aVector0(_128687), -(aDimensionOf0(_128687) = sz00), 562 ^ _111630 : [(563 ^ _111630) ^ [_128970] : [_128970 = sziznziztdt0(_128687), 566 ^ _111630 : [(567 ^ _111630) ^ [] : [-(aVector0(_128970))], (569 ^ _111630) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_128970)) = aDimensionOf0(_128687))], (571 ^ _111630) ^ [_129272] : [aNaturalNumber0(_129272), -(sdtlbdtrb0(_128970, _129272) = sdtlbdtrb0(_128687, _129272))]]], (577 ^ _111630) ^ [_129463] : [-(_129463 = sziznziztdt0(_128687)), aVector0(_129463), szszuzczcdt0(aDimensionOf0(_129463)) = aDimensionOf0(_128687), 587 ^ _111630 : [(588 ^ _111630) ^ [] : [-(aNaturalNumber0(586 ^ [_128687, _129463]))], (590 ^ _111630) ^ [] : [sdtlbdtrb0(_129463, 586 ^ [_128687, _129463]) = sdtlbdtrb0(_128687, 586 ^ [_128687, _129463])]]]]], (594 ^ _111630) ^ [_130045, _130047] : [aVector0(_130047), aVector0(_130045), -(aDimensionOf0(sziznziztdt0(_130047)) = aDimensionOf0(sziznziztdt0(_130045))), aDimensionOf0(_130047) = aDimensionOf0(_130045), -(aDimensionOf0(_130045) = sz00)], (612 ^ _111630) ^ [_130551, _130553] : [aVector0(_130553), aVector0(_130551), aDimensionOf0(_130553) = aDimensionOf0(_130551), -(aScalar0(sdtasasdt0(_130553, _130551)))], (626 ^ _111630) ^ [_130949, _130951] : [aVector0(_130951), aVector0(_130949), -(sdtasasdt0(_130951, _130949) = sz0z00), aDimensionOf0(_130951) = aDimensionOf0(_130949), aDimensionOf0(_130949) = sz00], (644 ^ _111630) ^ [_131442, _131444] : [aVector0(_131444), aVector0(_131442), -(sdtasasdt0(_131444, _131442) = sdtpldt0(sdtasasdt0(sziznziztdt0(_131444), sziznziztdt0(_131442)), sdtasdt0(sdtlbdtrb0(_131444, aDimensionOf0(_131444)), sdtlbdtrb0(_131442, aDimensionOf0(_131442))))), aDimensionOf0(_131444) = aDimensionOf0(_131442), -(aDimensionOf0(_131442) = sz00)], (662 ^ _111630) ^ [_131970] : [aVector0(_131970), -(sdtlseqdt0(sz0z00, sdtasasdt0(_131970, _131970)))], (668 ^ _111630) ^ [] : [-(aVector0(xs))], (670 ^ _111630) ^ [] : [-(aVector0(xt))], (690 ^ _111630) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _111630) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _111630) ^ [] : [-(aVector0(xp))], (696 ^ _111630) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _111630) ^ [] : [-(aVector0(xq))], (700 ^ _111630) ^ [] : [-(xq = sziznziztdt0(xt))], (702 ^ _111630) ^ [] : [-(aScalar0(xA))], (704 ^ _111630) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (706 ^ _111630) ^ [] : [-(aScalar0(xB))], (708 ^ _111630) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (710 ^ _111630) ^ [] : [-(aScalar0(xC))], (712 ^ _111630) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (714 ^ _111630) ^ [] : [-(aScalar0(xD))], (716 ^ _111630) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (718 ^ _111630) ^ [] : [-(aScalar0(xE))], (720 ^ _111630) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (722 ^ _111630) ^ [] : [-(aScalar0(xF))], (724 ^ _111630) ^ [] : [-(xF = sdtasdt0(xA, xA))], (726 ^ _111630) ^ [] : [-(aScalar0(xG))], (728 ^ _111630) ^ [] : [-(xG = sdtasdt0(xB, xB))], (730 ^ _111630) ^ [] : [-(aScalar0(xH))], (732 ^ _111630) ^ [] : [-(xH = sdtasdt0(xA, xB))], (734 ^ _111630) ^ [] : [-(aScalar0(xR))], (736 ^ _111630) ^ [] : [-(xR = sdtasdt0(xC, xG))], (738 ^ _111630) ^ [] : [-(aScalar0(xP))], (740 ^ _111630) ^ [] : [-(xP = sdtasdt0(xE, xH))], (742 ^ _111630) ^ [] : [-(aScalar0(xS))], (744 ^ _111630) ^ [] : [-(xS = sdtasdt0(xF, xD))], (746 ^ _111630) ^ [] : [-(aScalar0(xN))], (748 ^ _111630) ^ [] : [-(xN = sdtasdt0(xR, xS))], (750 ^ _111630) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (752 ^ _111630) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (754 ^ _111630) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (756 ^ _111630) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], (758 ^ _111630) ^ [] : [sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))], (760 ^ _111630) ^ [] : [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], (762 ^ _111630) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], (764 ^ _111630) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], (766 ^ _111630) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))))], (768 ^ _111630) ^ [] : [-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP))], (672 ^ _111630) ^ [_132286, _132288] : [aVector0(_132288), aVector0(_132286), aDimensionOf0(_132288) = aDimensionOf0(_132286), iLess0(aDimensionOf0(_132288), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_132288, _132286), sdtasasdt0(_132288, _132286)), sdtasdt0(sdtasasdt0(_132288, _132288), sdtasasdt0(_132286, _132286))))]], input).
% 0.51/1.38 ncf('1',plain,[sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))],start(758 ^ 0)).
% 0.51/1.38 ncf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), -(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(467 ^ 1,bind([[_126238, _126240], [sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.51/1.38 ncf('1.1.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 2,bind([[_118827, _118829], [xP, xP]]))).
% 0.51/1.38 ncf('1.1.1.1',plain,[-(aScalar0(xP))],extension(738 ^ 3)).
% 0.51/1.38 ncf('1.1.1.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.51/1.38 ncf('1.1.2',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 2,bind([[_118827, _118829], [xS, xR]]))).
% 0.51/1.38 ncf('1.1.2.1',plain,[-(aScalar0(xR))],extension(734 ^ 3)).
% 0.51/1.38 ncf('1.1.2.2',plain,[-(aScalar0(xS))],extension(742 ^ 3)).
% 0.51/1.38 ncf('1.1.3',plain,[sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), -(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))), sdtpldt0(xR, xS) = sdtpldt0(xP, xP), sdtpldt0(xP, xP) = sdtpldt0(xR, xS)],extension(64 ^ 2,bind([[_113735, _113737, _113739, _113741], [sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.51/1.38 ncf('1.1.3.1',plain,[sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))],reduction('1')).
% 0.51/1.38 ncf('1.1.3.2',plain,[-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP))],extension(768 ^ 3)).
% 0.51/1.38 ncf('1.1.3.3',plain,[-(sdtpldt0(xP, xP) = sdtpldt0(xR, xS)), sdtpldt0(xR, xS) = sdtpldt0(xP, xP)],extension(4 ^ 3,bind([[_111881, _111883], [sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.51/1.38 ncf('1.1.3.3.1',plain,[-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP))],lemmata('[1, 1].x')).
% 0.51/1.38 %-----------------------------------------------------
% 0.51/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------