TSTP Solution File: RNG047+2 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG047+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 11:49:40 EDT 2023
% Result : Theorem 1.80s 2.40s
% Output : Proof 1.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG047+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % 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 20:47:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 1.80/2.40
% 1.80/2.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.80/2.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.80/2.40 %-----------------------------------------------------
% 1.80/2.40 ncf(matrix, plain, [(592 ^ _85554) ^ [] : [-(aVector0(sziznziztdt0(xs)))], (594 ^ _85554) ^ [] : [-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs))], (596 ^ _85554) ^ [_104102] : [aNaturalNumber0(_104102), -(sdtlbdtrb0(sziznziztdt0(xs), _104102) = sdtlbdtrb0(xs, _104102))], (612 ^ _85554) ^ [] : [aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))], (602 ^ _85554) ^ [] : [-(aVector0(sziznziztdt0(xt)))], (604 ^ _85554) ^ [] : [-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt))], (606 ^ _85554) ^ [_104412] : [aNaturalNumber0(_104412), -(sdtlbdtrb0(sziznziztdt0(xt), _104412) = sdtlbdtrb0(xt, _104412))], (78 ^ _85554) ^ [_88089, _88091] : [_88091 = _88089, -(smndt0(_88091) = smndt0(_88089))], (84 ^ _85554) ^ [_88335, _88337, _88339, _88341] : [-(sdtpldt0(_88341, _88337) = sdtpldt0(_88339, _88335)), _88341 = _88339, _88337 = _88335], (94 ^ _85554) ^ [_88694, _88696, _88698, _88700] : [-(sdtasdt0(_88700, _88696) = sdtasdt0(_88698, _88694)), _88700 = _88698, _88696 = _88694], (104 ^ _85554) ^ [_89025, _89027] : [_89027 = _89025, -(szszuzczcdt0(_89027) = szszuzczcdt0(_89025))], (110 ^ _85554) ^ [_89271, _89273, _89275, _89277] : [-(sdtlbdtrb0(_89277, _89273) = sdtlbdtrb0(_89275, _89271)), _89277 = _89275, _89273 = _89271], (120 ^ _85554) ^ [_89602, _89604] : [_89604 = _89602, -(aDimensionOf0(_89604) = aDimensionOf0(_89602))], (126 ^ _85554) ^ [_89800, _89802] : [_89802 = _89800, -(sziznziztdt0(_89802) = sziznziztdt0(_89800))], (2 ^ _85554) ^ [_85698] : [-(_85698 = _85698)], (4 ^ _85554) ^ [_85805, _85807] : [_85807 = _85805, -(_85805 = _85807)], (10 ^ _85554) ^ [_86009, _86011, _86013] : [-(_86013 = _86009), _86013 = _86011, _86011 = _86009], (20 ^ _85554) ^ [_86350, _86352, _86354, _86356] : [-(iLess0(_86354, _86350)), iLess0(_86356, _86352), _86356 = _86354, _86352 = _86350], (34 ^ _85554) ^ [_86794, _86796, _86798, _86800] : [-(sdtlseqdt0(_86798, _86794)), sdtlseqdt0(_86800, _86796), _86800 = _86798, _86796 = _86794], (48 ^ _85554) ^ [_87210, _87212] : [-(aScalar0(_87210)), _87212 = _87210, aScalar0(_87212)], (58 ^ _85554) ^ [_87505, _87507] : [-(aVector0(_87505)), _87507 = _87505, aVector0(_87507)], (68 ^ _85554) ^ [_87780, _87782] : [-(aNaturalNumber0(_87780)), _87782 = _87780, aNaturalNumber0(_87782)], (132 ^ _85554) ^ [_90030] : [aNaturalNumber0(_90030), true___, -(true___)], (142 ^ _85554) ^ [] : [-(aNaturalNumber0(sz00))], (144 ^ _85554) ^ [_90338] : [aNaturalNumber0(_90338), 147 ^ _85554 : [(148 ^ _85554) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_90338)))], (150 ^ _85554) ^ [] : [szszuzczcdt0(_90338) = sz00]]], (152 ^ _85554) ^ [_90606] : [160 ^ _85554 : [(161 ^ _85554) ^ [] : [-(aNaturalNumber0(159 ^ [_90606]))], (163 ^ _85554) ^ [] : [-(_90606 = szszuzczcdt0(159 ^ [_90606]))]], aNaturalNumber0(_90606), -(_90606 = sz00)], (165 ^ _85554) ^ [_91034, _91036] : [aNaturalNumber0(_91036), aNaturalNumber0(_91034), szszuzczcdt0(_91036) = szszuzczcdt0(_91034), -(_91036 = _91034)], (179 ^ _85554) ^ [_91428, _91430] : [aNaturalNumber0(_91430), aNaturalNumber0(_91428), iLess0(_91430, _91428), true___, -(true___)], (197 ^ _85554) ^ [_91874] : [aNaturalNumber0(_91874), -(iLess0(_91874, szszuzczcdt0(_91874)))], (203 ^ _85554) ^ [_92066] : [aScalar0(_92066), true___, -(true___)], (213 ^ _85554) ^ [] : [-(aScalar0(sz0z00))], (215 ^ _85554) ^ [_92388, _92390] : [-(aScalar0(sdtpldt0(_92390, _92388))), aScalar0(_92390), aScalar0(_92388)], (225 ^ _85554) ^ [_92687, _92689] : [-(aScalar0(sdtasdt0(_92689, _92687))), aScalar0(_92689), aScalar0(_92687)], (235 ^ _85554) ^ [_92972] : [aScalar0(_92972), -(aScalar0(smndt0(_92972)))], (241 ^ _85554) ^ [_93162] : [aScalar0(_93162), 244 ^ _85554 : [(245 ^ _85554) ^ [] : [-(sdtpldt0(_93162, sz0z00) = _93162)], (247 ^ _85554) ^ [] : [-(sdtpldt0(sz0z00, _93162) = _93162)], (249 ^ _85554) ^ [] : [-(sdtasdt0(_93162, sz0z00) = sz0z00)], (251 ^ _85554) ^ [] : [-(sdtasdt0(sz0z00, _93162) = sz0z00)], (253 ^ _85554) ^ [] : [-(sdtpldt0(_93162, smndt0(_93162)) = sz0z00)], (255 ^ _85554) ^ [] : [-(sdtpldt0(smndt0(_93162), _93162) = sz0z00)], (257 ^ _85554) ^ [] : [-(smndt0(smndt0(_93162)) = _93162)], (259 ^ _85554) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (261 ^ _85554) ^ [_93929, _93931, _93933] : [272 ^ _85554 : [(273 ^ _85554) ^ [] : [-(sdtpldt0(sdtpldt0(_93933, _93931), _93929) = sdtpldt0(_93933, sdtpldt0(_93931, _93929)))], (275 ^ _85554) ^ [] : [-(sdtpldt0(_93933, _93931) = sdtpldt0(_93931, _93933))], (277 ^ _85554) ^ [] : [-(sdtasdt0(sdtasdt0(_93933, _93931), _93929) = sdtasdt0(_93933, sdtasdt0(_93931, _93929)))], (279 ^ _85554) ^ [] : [-(sdtasdt0(_93933, _93931) = sdtasdt0(_93931, _93933))]], aScalar0(_93933), aScalar0(_93931), aScalar0(_93929)], (281 ^ _85554) ^ [_94640, _94642, _94644] : [292 ^ _85554 : [(293 ^ _85554) ^ [] : [-(sdtasdt0(_94644, sdtpldt0(_94642, _94640)) = sdtpldt0(sdtasdt0(_94644, _94642), sdtasdt0(_94644, _94640)))], (295 ^ _85554) ^ [] : [-(sdtasdt0(sdtpldt0(_94644, _94642), _94640) = sdtpldt0(sdtasdt0(_94644, _94640), sdtasdt0(_94642, _94640)))]], aScalar0(_94644), aScalar0(_94642), aScalar0(_94640)], (297 ^ _85554) ^ [_95201, _95203, _95205, _95207] : [-(sdtasdt0(sdtpldt0(_95207, _95205), sdtpldt0(_95203, _95201)) = sdtpldt0(sdtpldt0(sdtasdt0(_95207, _95203), sdtasdt0(_95207, _95201)), sdtpldt0(sdtasdt0(_95205, _95203), sdtasdt0(_95205, _95201)))), aScalar0(_95207), aScalar0(_95205), aScalar0(_95203), aScalar0(_95201)], (315 ^ _85554) ^ [_95766, _95768] : [322 ^ _85554 : [(323 ^ _85554) ^ [] : [-(sdtasdt0(_95768, smndt0(_95766)) = smndt0(sdtasdt0(_95768, _95766)))], (325 ^ _85554) ^ [] : [-(sdtasdt0(smndt0(_95768), _95766) = smndt0(sdtasdt0(_95768, _95766)))]], aScalar0(_95768), aScalar0(_95766)], (327 ^ _85554) ^ [_96176, _96178] : [-(sdtasdt0(smndt0(_96178), smndt0(_96176)) = sdtasdt0(_96178, _96176)), aScalar0(_96178), aScalar0(_96176)], (337 ^ _85554) ^ [_96491, _96493] : [aScalar0(_96493), aScalar0(_96491), sdtlseqdt0(_96493, _96491), true___, -(true___)], (355 ^ _85554) ^ [_96937] : [aScalar0(_96937), -(sdtlseqdt0(_96937, _96937))], (361 ^ _85554) ^ [_97139, _97141] : [aScalar0(_97141), aScalar0(_97139), -(_97141 = _97139), sdtlseqdt0(_97141, _97139), sdtlseqdt0(_97139, _97141)], (379 ^ _85554) ^ [_97628, _97630, _97632] : [aScalar0(_97632), aScalar0(_97630), aScalar0(_97628), -(sdtlseqdt0(_97632, _97628)), sdtlseqdt0(_97632, _97630), sdtlseqdt0(_97630, _97628)], (401 ^ _85554) ^ [_98242, _98244, _98246, _98248] : [-(sdtlseqdt0(sdtpldt0(_98248, _98244), sdtpldt0(_98246, _98242))), sdtlseqdt0(_98248, _98246), sdtlseqdt0(_98244, _98242), aScalar0(_98248), aScalar0(_98246), aScalar0(_98244), aScalar0(_98242)], (427 ^ _85554) ^ [_98985, _98987, _98989, _98991] : [aScalar0(_98991), aScalar0(_98989), aScalar0(_98987), aScalar0(_98985), -(sdtlseqdt0(sdtasdt0(_98991, _98987), sdtasdt0(_98989, _98985))), sdtlseqdt0(_98991, _98989), sdtlseqdt0(sz0z00, _98987), sdtlseqdt0(_98987, _98985)], (457 ^ _85554) ^ [_99799, _99801] : [aScalar0(_99801), aScalar0(_99799), -(sdtlseqdt0(_99801, _99799)), -(sdtlseqdt0(_99799, _99801))], (471 ^ _85554) ^ [_100186, _100188] : [aScalar0(_100188), aScalar0(_100186), 486 ^ _85554 : [(487 ^ _85554) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_100188, _100186)))], (489 ^ _85554) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_100188, _100186)))]], sdtlseqdt0(sz0z00, _100188), sdtlseqdt0(sz0z00, _100186)], (491 ^ _85554) ^ [_100734] : [aScalar0(_100734), -(sdtlseqdt0(sz0z00, sdtasdt0(_100734, _100734)))], (497 ^ _85554) ^ [_100942, _100944] : [aScalar0(_100944), aScalar0(_100942), -(_100944 = _100942), sdtlseqdt0(sz0z00, _100944), sdtlseqdt0(sz0z00, _100942), sdtasdt0(_100944, _100944) = sdtasdt0(_100942, _100942)], (519 ^ _85554) ^ [_101504] : [aVector0(_101504), true___, -(true___)], (529 ^ _85554) ^ [_101759] : [aVector0(_101759), -(aNaturalNumber0(aDimensionOf0(_101759)))], (535 ^ _85554) ^ [_101963, _101965] : [-(aScalar0(sdtlbdtrb0(_101965, _101963))), aVector0(_101965), aNaturalNumber0(_101963)], (584 ^ _85554) ^ [] : [-(aVector0(xs))], (586 ^ _85554) ^ [] : [-(aVector0(xt))], (588 ^ _85554) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (590 ^ _85554) ^ [] : [aDimensionOf0(xt) = sz00], (545 ^ _85554) ^ [_102248] : [aVector0(_102248), -(aDimensionOf0(_102248) = sz00), 552 ^ _85554 : [(553 ^ _85554) ^ [_102531] : [_102531 = sziznziztdt0(_102248), 556 ^ _85554 : [(557 ^ _85554) ^ [] : [-(aVector0(_102531))], (559 ^ _85554) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_102531)) = aDimensionOf0(_102248))], (561 ^ _85554) ^ [_102833] : [aNaturalNumber0(_102833), -(sdtlbdtrb0(_102531, _102833) = sdtlbdtrb0(_102248, _102833))]]], (567 ^ _85554) ^ [_103024] : [-(_103024 = sziznziztdt0(_102248)), aVector0(_103024), szszuzczcdt0(aDimensionOf0(_103024)) = aDimensionOf0(_102248), 577 ^ _85554 : [(578 ^ _85554) ^ [] : [-(aNaturalNumber0(576 ^ [_102248, _103024]))], (580 ^ _85554) ^ [] : [sdtlbdtrb0(_103024, 576 ^ [_102248, _103024]) = sdtlbdtrb0(_102248, 576 ^ [_102248, _103024])]]]]]], input).
% 1.80/2.40 ncf('1',plain,[aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))],start(612 ^ 0)).
% 1.80/2.40 ncf('1.1',plain,[-(aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))), aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs))],extension(4 ^ 1,bind([[_85805, _85807], [aDimensionOf0(sziznziztdt0(xs)), aDimensionOf0(sziznziztdt0(xt))]]))).
% 1.80/2.40 ncf('1.1.1',plain,[-(aDimensionOf0(sziznziztdt0(xt)) = aDimensionOf0(sziznziztdt0(xs))), aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))), aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))],extension(165 ^ 2,bind([[_91034, _91036], [aDimensionOf0(sziznziztdt0(xs)), aDimensionOf0(sziznziztdt0(xt))]]))).
% 1.80/2.40 ncf('1.1.1.1',plain,[-(aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))), aVector0(sziznziztdt0(xt))],extension(529 ^ 3,bind([[_101759], [sziznziztdt0(xt)]]))).
% 1.80/2.40 ncf('1.1.1.1.1',plain,[-(aVector0(sziznziztdt0(xt)))],extension(602 ^ 4)).
% 1.80/2.40 ncf('1.1.1.2',plain,[-(aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))), aVector0(sziznziztdt0(xs))],extension(529 ^ 3,bind([[_101759], [sziznziztdt0(xs)]]))).
% 1.80/2.40 ncf('1.1.1.2.1',plain,[-(aVector0(sziznziztdt0(xs)))],extension(592 ^ 4)).
% 1.80/2.40 ncf('1.1.1.3',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt), aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))],extension(10 ^ 3,bind([[_86009, _86011, _86013], [szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))), aDimensionOf0(xt), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))]]))).
% 1.80/2.40 ncf('1.1.1.3.1',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt))],extension(604 ^ 4)).
% 1.80/2.40 ncf('1.1.1.3.2',plain,[-(aDimensionOf0(xt) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xt)],extension(4 ^ 4,bind([[_85805, _85807], [aDimensionOf0(xt), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))]]))).
% 1.80/2.40 ncf('1.1.1.3.2.1',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xt)), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs), aDimensionOf0(xs) = aDimensionOf0(xt)],extension(10 ^ 5,bind([[_86009, _86011, _86013], [aDimensionOf0(xt), aDimensionOf0(xs), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))]]))).
% 1.80/2.40 ncf('1.1.1.3.2.1.1',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs))],extension(594 ^ 6)).
% 1.80/2.40 ncf('1.1.1.3.2.1.2',plain,[-(aDimensionOf0(xs) = aDimensionOf0(xt))],extension(588 ^ 6)).
% 1.80/2.40 %-----------------------------------------------------
% 1.80/2.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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