TSTP Solution File: RNG070+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n006.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 0.33s 1.38s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n006.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 20:18:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.33/1.38
% 0.33/1.38 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.33/1.38 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 ncf(matrix, plain, [(776 ^ _111793) ^ [] : [sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP))], (78 ^ _111793) ^ [_114328, _114330] : [_114330 = _114328, -(smndt0(_114330) = smndt0(_114328))], (84 ^ _111793) ^ [_114546, _114548] : [_114548 = _114546, -(szszuzczcdt0(_114548) = szszuzczcdt0(_114546))], (90 ^ _111793) ^ [_114764, _114766] : [_114766 = _114764, -(sziznziztdt0(_114766) = sziznziztdt0(_114764))], (96 ^ _111793) ^ [_115010, _115012, _115014, _115016] : [-(sdtlbdtrb0(_115016, _115012) = sdtlbdtrb0(_115014, _115010)), _115016 = _115014, _115012 = _115010], (106 ^ _111793) ^ [_115341, _115343] : [_115343 = _115341, -(aDimensionOf0(_115343) = aDimensionOf0(_115341))], (112 ^ _111793) ^ [_115587, _115589, _115591, _115593] : [-(sdtasasdt0(_115593, _115589) = sdtasasdt0(_115591, _115587)), _115593 = _115591, _115589 = _115587], (122 ^ _111793) ^ [_115946, _115948, _115950, _115952] : [-(sdtasdt0(_115952, _115948) = sdtasdt0(_115950, _115946)), _115952 = _115950, _115948 = _115946], (132 ^ _111793) ^ [_116285, _116287, _116289, _116291] : [-(sdtpldt0(_116291, _116287) = sdtpldt0(_116289, _116285)), _116291 = _116289, _116287 = _116285], (2 ^ _111793) ^ [_111937] : [-(_111937 = _111937)], (4 ^ _111793) ^ [_112044, _112046] : [_112046 = _112044, -(_112044 = _112046)], (10 ^ _111793) ^ [_112248, _112250, _112252] : [-(_112252 = _112248), _112252 = _112250, _112250 = _112248], (20 ^ _111793) ^ [_112589, _112591, _112593, _112595] : [-(iLess0(_112593, _112589)), iLess0(_112595, _112591), _112595 = _112593, _112591 = _112589], (34 ^ _111793) ^ [_113005, _113007] : [-(aVector0(_113005)), _113007 = _113005, aVector0(_113007)], (44 ^ _111793) ^ [_113300, _113302] : [-(aNaturalNumber0(_113300)), _113302 = _113300, aNaturalNumber0(_113302)], (54 ^ _111793) ^ [_113595, _113597] : [-(aScalar0(_113595)), _113597 = _113595, aScalar0(_113597)], (64 ^ _111793) ^ [_113898, _113900, _113902, _113904] : [-(sdtlseqdt0(_113902, _113898)), sdtlseqdt0(_113904, _113900), _113904 = _113902, _113900 = _113898], (142 ^ _111793) ^ [_116632] : [aNaturalNumber0(_116632), true___, -(true___)], (152 ^ _111793) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _111793) ^ [_116940] : [aNaturalNumber0(_116940), 157 ^ _111793 : [(158 ^ _111793) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_116940)))], (160 ^ _111793) ^ [] : [szszuzczcdt0(_116940) = sz00]]], (162 ^ _111793) ^ [_117208] : [170 ^ _111793 : [(171 ^ _111793) ^ [] : [-(aNaturalNumber0(169 ^ [_117208]))], (173 ^ _111793) ^ [] : [-(_117208 = szszuzczcdt0(169 ^ [_117208]))]], aNaturalNumber0(_117208), -(_117208 = sz00)], (175 ^ _111793) ^ [_117636, _117638] : [aNaturalNumber0(_117638), aNaturalNumber0(_117636), szszuzczcdt0(_117638) = szszuzczcdt0(_117636), -(_117638 = _117636)], (189 ^ _111793) ^ [_118030, _118032] : [aNaturalNumber0(_118032), aNaturalNumber0(_118030), iLess0(_118032, _118030), true___, -(true___)], (207 ^ _111793) ^ [_118476] : [aNaturalNumber0(_118476), -(iLess0(_118476, szszuzczcdt0(_118476)))], (213 ^ _111793) ^ [_118668] : [aScalar0(_118668), true___, -(true___)], (223 ^ _111793) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _111793) ^ [_118990, _118992] : [-(aScalar0(sdtpldt0(_118992, _118990))), aScalar0(_118992), aScalar0(_118990)], (235 ^ _111793) ^ [_119289, _119291] : [-(aScalar0(sdtasdt0(_119291, _119289))), aScalar0(_119291), aScalar0(_119289)], (245 ^ _111793) ^ [_119574] : [aScalar0(_119574), -(aScalar0(smndt0(_119574)))], (251 ^ _111793) ^ [_119764] : [aScalar0(_119764), 254 ^ _111793 : [(255 ^ _111793) ^ [] : [-(sdtpldt0(_119764, sz0z00) = _119764)], (257 ^ _111793) ^ [] : [-(sdtpldt0(sz0z00, _119764) = _119764)], (259 ^ _111793) ^ [] : [-(sdtasdt0(_119764, sz0z00) = sz0z00)], (261 ^ _111793) ^ [] : [-(sdtasdt0(sz0z00, _119764) = sz0z00)], (263 ^ _111793) ^ [] : [-(sdtpldt0(_119764, smndt0(_119764)) = sz0z00)], (265 ^ _111793) ^ [] : [-(sdtpldt0(smndt0(_119764), _119764) = sz0z00)], (267 ^ _111793) ^ [] : [-(smndt0(smndt0(_119764)) = _119764)], (269 ^ _111793) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _111793) ^ [_120531, _120533, _120535] : [282 ^ _111793 : [(283 ^ _111793) ^ [] : [-(sdtpldt0(sdtpldt0(_120535, _120533), _120531) = sdtpldt0(_120535, sdtpldt0(_120533, _120531)))], (285 ^ _111793) ^ [] : [-(sdtpldt0(_120535, _120533) = sdtpldt0(_120533, _120535))], (287 ^ _111793) ^ [] : [-(sdtasdt0(sdtasdt0(_120535, _120533), _120531) = sdtasdt0(_120535, sdtasdt0(_120533, _120531)))], (289 ^ _111793) ^ [] : [-(sdtasdt0(_120535, _120533) = sdtasdt0(_120533, _120535))]], aScalar0(_120535), aScalar0(_120533), aScalar0(_120531)], (291 ^ _111793) ^ [_121242, _121244, _121246] : [302 ^ _111793 : [(303 ^ _111793) ^ [] : [-(sdtasdt0(_121246, sdtpldt0(_121244, _121242)) = sdtpldt0(sdtasdt0(_121246, _121244), sdtasdt0(_121246, _121242)))], (305 ^ _111793) ^ [] : [-(sdtasdt0(sdtpldt0(_121246, _121244), _121242) = sdtpldt0(sdtasdt0(_121246, _121242), sdtasdt0(_121244, _121242)))]], aScalar0(_121246), aScalar0(_121244), aScalar0(_121242)], (307 ^ _111793) ^ [_121803, _121805, _121807, _121809] : [-(sdtasdt0(sdtpldt0(_121809, _121807), sdtpldt0(_121805, _121803)) = sdtpldt0(sdtpldt0(sdtasdt0(_121809, _121805), sdtasdt0(_121809, _121803)), sdtpldt0(sdtasdt0(_121807, _121805), sdtasdt0(_121807, _121803)))), aScalar0(_121809), aScalar0(_121807), aScalar0(_121805), aScalar0(_121803)], (325 ^ _111793) ^ [_122368, _122370] : [332 ^ _111793 : [(333 ^ _111793) ^ [] : [-(sdtasdt0(_122370, smndt0(_122368)) = smndt0(sdtasdt0(_122370, _122368)))], (335 ^ _111793) ^ [] : [-(sdtasdt0(smndt0(_122370), _122368) = smndt0(sdtasdt0(_122370, _122368)))]], aScalar0(_122370), aScalar0(_122368)], (337 ^ _111793) ^ [_122778, _122780] : [-(sdtasdt0(smndt0(_122780), smndt0(_122778)) = sdtasdt0(_122780, _122778)), aScalar0(_122780), aScalar0(_122778)], (347 ^ _111793) ^ [_123093, _123095] : [aScalar0(_123095), aScalar0(_123093), sdtlseqdt0(_123095, _123093), true___, -(true___)], (365 ^ _111793) ^ [_123539] : [aScalar0(_123539), -(sdtlseqdt0(_123539, _123539))], (371 ^ _111793) ^ [_123741, _123743] : [aScalar0(_123743), aScalar0(_123741), -(_123743 = _123741), sdtlseqdt0(_123743, _123741), sdtlseqdt0(_123741, _123743)], (389 ^ _111793) ^ [_124230, _124232, _124234] : [aScalar0(_124234), aScalar0(_124232), aScalar0(_124230), -(sdtlseqdt0(_124234, _124230)), sdtlseqdt0(_124234, _124232), sdtlseqdt0(_124232, _124230)], (411 ^ _111793) ^ [_124844, _124846, _124848, _124850] : [-(sdtlseqdt0(sdtpldt0(_124850, _124846), sdtpldt0(_124848, _124844))), sdtlseqdt0(_124850, _124848), sdtlseqdt0(_124846, _124844), aScalar0(_124850), aScalar0(_124848), aScalar0(_124846), aScalar0(_124844)], (437 ^ _111793) ^ [_125587, _125589, _125591, _125593] : [aScalar0(_125593), aScalar0(_125591), aScalar0(_125589), aScalar0(_125587), -(sdtlseqdt0(sdtasdt0(_125593, _125589), sdtasdt0(_125591, _125587))), sdtlseqdt0(_125593, _125591), sdtlseqdt0(sz0z00, _125589), sdtlseqdt0(_125589, _125587)], (467 ^ _111793) ^ [_126401, _126403] : [aScalar0(_126403), aScalar0(_126401), -(sdtlseqdt0(_126403, _126401)), -(sdtlseqdt0(_126401, _126403))], (481 ^ _111793) ^ [_126788, _126790] : [aScalar0(_126790), aScalar0(_126788), 496 ^ _111793 : [(497 ^ _111793) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_126790, _126788)))], (499 ^ _111793) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_126790, _126788)))]], sdtlseqdt0(sz0z00, _126790), sdtlseqdt0(sz0z00, _126788)], (501 ^ _111793) ^ [_127336] : [aScalar0(_127336), -(sdtlseqdt0(sz0z00, sdtasdt0(_127336, _127336)))], (507 ^ _111793) ^ [_127544, _127546] : [aScalar0(_127546), aScalar0(_127544), -(_127546 = _127544), sdtlseqdt0(sz0z00, _127546), sdtlseqdt0(sz0z00, _127544), sdtasdt0(_127546, _127546) = sdtasdt0(_127544, _127544)], (529 ^ _111793) ^ [_128106] : [aVector0(_128106), true___, -(true___)], (539 ^ _111793) ^ [_128361] : [aVector0(_128361), -(aNaturalNumber0(aDimensionOf0(_128361)))], (545 ^ _111793) ^ [_128565, _128567] : [-(aScalar0(sdtlbdtrb0(_128567, _128565))), aVector0(_128567), aNaturalNumber0(_128565)], (555 ^ _111793) ^ [_128850] : [aVector0(_128850), -(aDimensionOf0(_128850) = sz00), 562 ^ _111793 : [(563 ^ _111793) ^ [_129133] : [_129133 = sziznziztdt0(_128850), 566 ^ _111793 : [(567 ^ _111793) ^ [] : [-(aVector0(_129133))], (569 ^ _111793) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_129133)) = aDimensionOf0(_128850))], (571 ^ _111793) ^ [_129435] : [aNaturalNumber0(_129435), -(sdtlbdtrb0(_129133, _129435) = sdtlbdtrb0(_128850, _129435))]]], (577 ^ _111793) ^ [_129626] : [-(_129626 = sziznziztdt0(_128850)), aVector0(_129626), szszuzczcdt0(aDimensionOf0(_129626)) = aDimensionOf0(_128850), 587 ^ _111793 : [(588 ^ _111793) ^ [] : [-(aNaturalNumber0(586 ^ [_128850, _129626]))], (590 ^ _111793) ^ [] : [sdtlbdtrb0(_129626, 586 ^ [_128850, _129626]) = sdtlbdtrb0(_128850, 586 ^ [_128850, _129626])]]]]], (594 ^ _111793) ^ [_130208, _130210] : [aVector0(_130210), aVector0(_130208), -(aDimensionOf0(sziznziztdt0(_130210)) = aDimensionOf0(sziznziztdt0(_130208))), aDimensionOf0(_130210) = aDimensionOf0(_130208), -(aDimensionOf0(_130208) = sz00)], (612 ^ _111793) ^ [_130714, _130716] : [aVector0(_130716), aVector0(_130714), aDimensionOf0(_130716) = aDimensionOf0(_130714), -(aScalar0(sdtasasdt0(_130716, _130714)))], (626 ^ _111793) ^ [_131112, _131114] : [aVector0(_131114), aVector0(_131112), -(sdtasasdt0(_131114, _131112) = sz0z00), aDimensionOf0(_131114) = aDimensionOf0(_131112), aDimensionOf0(_131112) = sz00], (644 ^ _111793) ^ [_131605, _131607] : [aVector0(_131607), aVector0(_131605), -(sdtasasdt0(_131607, _131605) = sdtpldt0(sdtasasdt0(sziznziztdt0(_131607), sziznziztdt0(_131605)), sdtasdt0(sdtlbdtrb0(_131607, aDimensionOf0(_131607)), sdtlbdtrb0(_131605, aDimensionOf0(_131605))))), aDimensionOf0(_131607) = aDimensionOf0(_131605), -(aDimensionOf0(_131605) = sz00)], (662 ^ _111793) ^ [_132133] : [aVector0(_132133), -(sdtlseqdt0(sz0z00, sdtasasdt0(_132133, _132133)))], (668 ^ _111793) ^ [] : [-(aVector0(xs))], (670 ^ _111793) ^ [] : [-(aVector0(xt))], (690 ^ _111793) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (692 ^ _111793) ^ [] : [aDimensionOf0(xs) = sz00], (694 ^ _111793) ^ [] : [-(aVector0(xp))], (696 ^ _111793) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs))], (704 ^ _111793) ^ [] : [-(xp = sziznziztdt0(xs))], (698 ^ _111793) ^ [_133189] : [aNaturalNumber0(_133189), -(sdtlbdtrb0(xp, _133189) = sdtlbdtrb0(xs, _133189))], (718 ^ _111793) ^ [] : [-(aScalar0(xA))], (720 ^ _111793) ^ [] : [-(xA = sdtlbdtrb0(xs, aDimensionOf0(xs)))], (722 ^ _111793) ^ [] : [-(aScalar0(xB))], (724 ^ _111793) ^ [] : [-(xB = sdtlbdtrb0(xt, aDimensionOf0(xt)))], (726 ^ _111793) ^ [] : [-(aScalar0(xC))], (728 ^ _111793) ^ [] : [-(xC = sdtasasdt0(xp, xp))], (730 ^ _111793) ^ [] : [-(aScalar0(xD))], (732 ^ _111793) ^ [] : [-(xD = sdtasasdt0(xq, xq))], (734 ^ _111793) ^ [] : [-(aScalar0(xE))], (736 ^ _111793) ^ [] : [-(xE = sdtasasdt0(xp, xq))], (738 ^ _111793) ^ [] : [-(aScalar0(xF))], (740 ^ _111793) ^ [] : [-(xF = sdtasdt0(xA, xA))], (742 ^ _111793) ^ [] : [-(aScalar0(xG))], (744 ^ _111793) ^ [] : [-(xG = sdtasdt0(xB, xB))], (746 ^ _111793) ^ [] : [-(aScalar0(xH))], (748 ^ _111793) ^ [] : [-(xH = sdtasdt0(xA, xB))], (750 ^ _111793) ^ [] : [-(aScalar0(xR))], (752 ^ _111793) ^ [] : [-(xR = sdtasdt0(xC, xG))], (754 ^ _111793) ^ [] : [-(aScalar0(xP))], (756 ^ _111793) ^ [] : [-(xP = sdtasdt0(xE, xH))], (758 ^ _111793) ^ [] : [-(aScalar0(xS))], (760 ^ _111793) ^ [] : [-(xS = sdtasdt0(xF, xD))], (762 ^ _111793) ^ [] : [-(aScalar0(xN))], (764 ^ _111793) ^ [] : [-(xN = sdtasdt0(xR, xS))], (766 ^ _111793) ^ [] : [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], (768 ^ _111793) ^ [] : [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], (770 ^ _111793) ^ [] : [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], (772 ^ _111793) ^ [] : [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], (774 ^ _111793) ^ [] : [sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))], (706 ^ _111793) ^ [] : [-(aVector0(xq))], (708 ^ _111793) ^ [] : [-(szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt))], (716 ^ _111793) ^ [] : [-(xq = sziznziztdt0(xt))], (710 ^ _111793) ^ [_133554] : [aNaturalNumber0(_133554), -(sdtlbdtrb0(xq, _133554) = sdtlbdtrb0(xt, _133554))], (672 ^ _111793) ^ [_132449, _132451] : [aVector0(_132451), aVector0(_132449), aDimensionOf0(_132451) = aDimensionOf0(_132449), iLess0(aDimensionOf0(_132451), aDimensionOf0(xs)), -(sdtlseqdt0(sdtasdt0(sdtasasdt0(_132451, _132449), sdtasasdt0(_132451, _132449)), sdtasdt0(sdtasasdt0(_132451, _132451), sdtasasdt0(_132449, _132449))))]], input).
% 0.33/1.38 ncf('1',plain,[sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP))],start(776 ^ 0)).
% 0.33/1.38 ncf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), -(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))],extension(467 ^ 1,bind([[_126401, _126403], [sdtpldt0(xP, xP), sdtpldt0(xR, xS)]]))).
% 0.33/1.38 ncf('1.1.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(225 ^ 2,bind([[_118990, _118992], [xS, xR]]))).
% 0.33/1.38 ncf('1.1.1.1',plain,[-(aScalar0(xR))],extension(750 ^ 3)).
% 0.33/1.38 ncf('1.1.1.2',plain,[-(aScalar0(xS))],extension(758 ^ 3)).
% 0.33/1.38 ncf('1.1.2',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(225 ^ 2,bind([[_118990, _118992], [xP, xP]]))).
% 0.33/1.38 ncf('1.1.2.1',plain,[-(aScalar0(xP))],extension(754 ^ 3)).
% 0.33/1.38 ncf('1.1.2.2',plain,[-(aScalar0(xP))],lemmata('[1, 1].x')).
% 0.33/1.38 ncf('1.1.3',plain,[sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS))],extension(774 ^ 2)).
% 0.33/1.38 %-----------------------------------------------------
% 0.33/1.38 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------