TSTP Solution File: RNG047+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n025.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 178.91s 173.96s
% Output : Proof 178.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG047+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 20:42:03 EDT 2023
% 0.11/0.33 % CPUTime :
% 178.91/173.96
% 178.91/173.96 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 178.91/173.96 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 178.91/173.96 %-----------------------------------------------------
% 178.91/173.96 ncf(matrix, plain, [(592 ^ _112698) ^ [] : [aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))], !, (401 ^ _94355) ^ [_107023, _107025, _107027, _107029] : [-(sdtlseqdt0(sdtpldt0(_107029, _107025), sdtpldt0(_107027, _107023))), sdtlseqdt0(_107029, _107027), sdtlseqdt0(_107025, _107023), aScalar0(_107029), aScalar0(_107027), aScalar0(_107025), aScalar0(_107023)], (78 ^ _94355) ^ [_96870, _96872] : [_96872 = _96870, -(smndt0(_96872) = smndt0(_96870))], (225 ^ _94355) ^ [_101468, _101470] : [-(aScalar0(sdtasdt0(_101470, _101468))), aScalar0(_101470), aScalar0(_101468)], (545 ^ _94355) ^ [_111029] : [aVector0(_111029), -(aDimensionOf0(_111029) = sz00), 552 ^ _94355 : [(567 ^ _94355) ^ [_111805] : [-(_111805 = sziznziztdt0(_111029)), aVector0(_111805), szszuzczcdt0(aDimensionOf0(_111805)) = aDimensionOf0(_111029), 577 ^ _94355 : [(580 ^ _94355) ^ [] : [sdtlbdtrb0(_111805, 576 ^ [_111029, _111805]) = sdtlbdtrb0(_111029, 576 ^ [_111029, _111805])], (578 ^ _94355) ^ [] : [-(aNaturalNumber0(576 ^ [_111029, _111805]))]]], (553 ^ _94355) ^ [_111312] : [_111312 = sziznziztdt0(_111029), 556 ^ _94355 : [(561 ^ _94355) ^ [_111614] : [aNaturalNumber0(_111614), -(sdtlbdtrb0(_111312, _111614) = sdtlbdtrb0(_111029, _111614))], (559 ^ _94355) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_111312)) = aDimensionOf0(_111029))], (557 ^ _94355) ^ [] : [-(aVector0(_111312))]]]]], (215 ^ _94355) ^ [_101169, _101171] : [-(aScalar0(sdtpldt0(_101171, _101169))), aScalar0(_101171), aScalar0(_101169)], (337 ^ _94355) ^ [_105272, _105274] : [aScalar0(_105274), aScalar0(_105272), sdtlseqdt0(_105274, _105272), true___, -(true___)], (120 ^ _94355) ^ [_98383, _98385] : [_98385 = _98383, -(aDimensionOf0(_98385) = aDimensionOf0(_98383))], (327 ^ _94355) ^ [_104957, _104959] : [-(sdtasdt0(smndt0(_104959), smndt0(_104957)) = sdtasdt0(_104959, _104957)), aScalar0(_104959), aScalar0(_104957)], (471 ^ _94355) ^ [_108967, _108969] : [aScalar0(_108969), aScalar0(_108967), 486 ^ _94355 : [(489 ^ _94355) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_108969, _108967)))], (487 ^ _94355) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_108969, _108967)))]], sdtlseqdt0(sz0z00, _108969), sdtlseqdt0(sz0z00, _108967)], (457 ^ _94355) ^ [_108580, _108582] : [aScalar0(_108582), aScalar0(_108580), -(sdtlseqdt0(_108582, _108580)), -(sdtlseqdt0(_108580, _108582))], (197 ^ _94355) ^ [_100655] : [aNaturalNumber0(_100655), -(iLess0(_100655, szszuzczcdt0(_100655)))], (427 ^ _94355) ^ [_107766, _107768, _107770, _107772] : [aScalar0(_107772), aScalar0(_107770), aScalar0(_107768), aScalar0(_107766), -(sdtlseqdt0(sdtasdt0(_107772, _107768), sdtasdt0(_107770, _107766))), sdtlseqdt0(_107772, _107770), sdtlseqdt0(sz0z00, _107768), sdtlseqdt0(_107768, _107766)], (68 ^ _94355) ^ [_96561, _96563] : [-(aVector0(_96561)), _96563 = _96561, aVector0(_96563)], (519 ^ _94355) ^ [_110285] : [aVector0(_110285), true___, -(true___)], (213 ^ _94355) ^ [] : [-(aScalar0(sz0z00))], (361 ^ _94355) ^ [_105920, _105922] : [aScalar0(_105922), aScalar0(_105920), -(_105922 = _105920), sdtlseqdt0(_105922, _105920), sdtlseqdt0(_105920, _105922)], (355 ^ _94355) ^ [_105718] : [aScalar0(_105718), -(sdtlseqdt0(_105718, _105718))], (126 ^ _94355) ^ [_98581, _98583] : [_98583 = _98581, -(sziznziztdt0(_98583) = sziznziztdt0(_98581))], (590 ^ _94355) ^ [] : [aDimensionOf0(xt) = sz00], (586 ^ _94355) ^ [] : [-(aVector0(xt))], (491 ^ _94355) ^ [_109515] : [aScalar0(_109515), -(sdtlseqdt0(sz0z00, sdtasdt0(_109515, _109515)))], (281 ^ _94355) ^ [_103421, _103423, _103425] : [292 ^ _94355 : [(295 ^ _94355) ^ [] : [-(sdtasdt0(sdtpldt0(_103425, _103423), _103421) = sdtpldt0(sdtasdt0(_103425, _103421), sdtasdt0(_103423, _103421)))], (293 ^ _94355) ^ [] : [-(sdtasdt0(_103425, sdtpldt0(_103423, _103421)) = sdtpldt0(sdtasdt0(_103425, _103423), sdtasdt0(_103425, _103421)))]], aScalar0(_103425), aScalar0(_103423), aScalar0(_103421)], (58 ^ _94355) ^ [_96286, _96288] : [-(aNaturalNumber0(_96286)), _96288 = _96286, aNaturalNumber0(_96288)], (152 ^ _94355) ^ [_99387] : [160 ^ _94355 : [(163 ^ _94355) ^ [] : [-(_99387 = szszuzczcdt0(159 ^ [_99387]))], (161 ^ _94355) ^ [] : [-(aNaturalNumber0(159 ^ [_99387]))]], aNaturalNumber0(_99387), -(_99387 = sz00)], (529 ^ _94355) ^ [_110540] : [aVector0(_110540), -(aNaturalNumber0(aDimensionOf0(_110540)))], (261 ^ _94355) ^ [_102710, _102712, _102714] : [272 ^ _94355 : [(279 ^ _94355) ^ [] : [-(sdtasdt0(_102714, _102712) = sdtasdt0(_102712, _102714))], (273 ^ _94355) ^ [] : [-(sdtpldt0(sdtpldt0(_102714, _102712), _102710) = sdtpldt0(_102714, sdtpldt0(_102712, _102710)))], (277 ^ _94355) ^ [] : [-(sdtasdt0(sdtasdt0(_102714, _102712), _102710) = sdtasdt0(_102714, sdtasdt0(_102712, _102710)))], (275 ^ _94355) ^ [] : [-(sdtpldt0(_102714, _102712) = sdtpldt0(_102712, _102714))]], aScalar0(_102714), aScalar0(_102712), aScalar0(_102710)], (297 ^ _94355) ^ [_103982, _103984, _103986, _103988] : [-(sdtasdt0(sdtpldt0(_103988, _103986), sdtpldt0(_103984, _103982)) = sdtpldt0(sdtpldt0(sdtasdt0(_103988, _103984), sdtasdt0(_103988, _103982)), sdtpldt0(sdtasdt0(_103986, _103984), sdtasdt0(_103986, _103982)))), aScalar0(_103988), aScalar0(_103986), aScalar0(_103984), aScalar0(_103982)], (2 ^ _94355) ^ [_94479] : [-(_94479 = _94479)], (48 ^ _94355) ^ [_95991, _95993] : [-(aScalar0(_95991)), _95993 = _95991, aScalar0(_95993)], (84 ^ _94355) ^ [_97116, _97118, _97120, _97122] : [-(sdtpldt0(_97122, _97118) = sdtpldt0(_97120, _97116)), _97122 = _97120, _97118 = _97116], (241 ^ _94355) ^ [_101943] : [aScalar0(_101943), 244 ^ _94355 : [(251 ^ _94355) ^ [] : [-(sdtasdt0(sz0z00, _101943) = sz0z00)], (255 ^ _94355) ^ [] : [-(sdtpldt0(smndt0(_101943), _101943) = sz0z00)], (253 ^ _94355) ^ [] : [-(sdtpldt0(_101943, smndt0(_101943)) = sz0z00)], (257 ^ _94355) ^ [] : [-(smndt0(smndt0(_101943)) = _101943)], (247 ^ _94355) ^ [] : [-(sdtpldt0(sz0z00, _101943) = _101943)], (245 ^ _94355) ^ [] : [-(sdtpldt0(_101943, sz0z00) = _101943)], (249 ^ _94355) ^ [] : [-(sdtasdt0(_101943, sz0z00) = sz0z00)], (259 ^ _94355) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (20 ^ _94355) ^ [_95131, _95133, _95135, _95137] : [-(iLess0(_95135, _95131)), iLess0(_95137, _95133), _95137 = _95135, _95133 = _95131], (535 ^ _94355) ^ [_110744, _110746] : [-(aScalar0(sdtlbdtrb0(_110746, _110744))), aVector0(_110746), aNaturalNumber0(_110744)], (235 ^ _94355) ^ [_101753] : [aScalar0(_101753), -(aScalar0(smndt0(_101753)))], (315 ^ _94355) ^ [_104547, _104549] : [322 ^ _94355 : [(325 ^ _94355) ^ [] : [-(sdtasdt0(smndt0(_104549), _104547) = smndt0(sdtasdt0(_104549, _104547)))], (323 ^ _94355) ^ [] : [-(sdtasdt0(_104549, smndt0(_104547)) = smndt0(sdtasdt0(_104549, _104547)))]], aScalar0(_104549), aScalar0(_104547)], (588 ^ _94355) ^ [] : [-(aDimensionOf0(xs) = aDimensionOf0(xt))], (34 ^ _94355) ^ [_95575, _95577, _95579, _95581] : [-(sdtlseqdt0(_95579, _95575)), sdtlseqdt0(_95581, _95577), _95581 = _95579, _95577 = _95575], (379 ^ _94355) ^ [_106409, _106411, _106413] : [aScalar0(_106413), aScalar0(_106411), aScalar0(_106409), -(sdtlseqdt0(_106413, _106409)), sdtlseqdt0(_106413, _106411), sdtlseqdt0(_106411, _106409)], (165 ^ _94355) ^ [_99815, _99817] : [aNaturalNumber0(_99817), aNaturalNumber0(_99815), szszuzczcdt0(_99817) = szszuzczcdt0(_99815), -(_99817 = _99815)], (104 ^ _94355) ^ [_97806, _97808] : [_97808 = _97806, -(szszuzczcdt0(_97808) = szszuzczcdt0(_97806))], (179 ^ _94355) ^ [_100209, _100211] : [aNaturalNumber0(_100211), aNaturalNumber0(_100209), iLess0(_100211, _100209), true___, -(true___)], (110 ^ _94355) ^ [_98052, _98054, _98056, _98058] : [-(sdtlbdtrb0(_98058, _98054) = sdtlbdtrb0(_98056, _98052)), _98058 = _98056, _98054 = _98052], (132 ^ _94355) ^ [_98811] : [aNaturalNumber0(_98811), true___, -(true___)], (94 ^ _94355) ^ [_97475, _97477, _97479, _97481] : [-(sdtasdt0(_97481, _97477) = sdtasdt0(_97479, _97475)), _97481 = _97479, _97477 = _97475], (203 ^ _94355) ^ [_100847] : [aScalar0(_100847), true___, -(true___)], (584 ^ _94355) ^ [] : [-(aVector0(xs))], (144 ^ _94355) ^ [_99119] : [aNaturalNumber0(_99119), 147 ^ _94355 : [(150 ^ _94355) ^ [] : [szszuzczcdt0(_99119) = sz00], (148 ^ _94355) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_99119)))]]], (10 ^ _94355) ^ [_94790, _94792, _94794] : [-(_94794 = _94790), _94794 = _94792, _94792 = _94790], (4 ^ _94355) ^ [_94586, _94588] : [_94588 = _94586, -(_94586 = _94588)], (142 ^ _94355) ^ [] : [-(aNaturalNumber0(sz00))], (497 ^ _94355) ^ [_109723, _109725] : [aScalar0(_109725), aScalar0(_109723), -(_109725 = _109723), sdtlseqdt0(sz0z00, _109725), sdtlseqdt0(sz0z00, _109723), sdtasdt0(_109725, _109725) = sdtasdt0(_109723, _109723)]], input).
% 178.91/173.96 ncf('1',plain,[aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))],start(592 ^ 0)).
% 178.91/173.96 ncf('1.1',plain,[-(aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt))), aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))), aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))],extension(165 ^ 1,bind([[_99815, _99817], [aDimensionOf0(sziznziztdt0(xt)), aDimensionOf0(sziznziztdt0(xs))]]))).
% 178.91/173.96 ncf('1.1.1',plain,[-(aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs)))), aVector0(sziznziztdt0(xs))],extension(529 ^ 2,bind([[_110540], [sziznziztdt0(xs)]]))).
% 178.91/173.96 ncf('1.1.1.1',plain,[-(aVector0(sziznziztdt0(xs))), 553 : sziznziztdt0(xs) = sziznziztdt0(xs), 553 : aVector0(xs), 553 : -(aDimensionOf0(xs) = sz00)],extension(545 ^ 3,bind([[_111029, _111312], [xs, sziznziztdt0(xs)]]))).
% 178.91/173.96 ncf('1.1.1.1.1',plain,[-(sziznziztdt0(xs) = sziznziztdt0(xs)), xs = xs],extension(126 ^ 6,bind([[_98581, _98583], [xs, xs]]))).
% 178.91/173.96 ncf('1.1.1.1.1.1',plain,[-(xs = xs)],extension(2 ^ 7,bind([[_94479], [xs]]))).
% 178.91/173.96 ncf('1.1.1.1.2',plain,[-(aVector0(xs))],extension(584 ^ 4)).
% 178.91/173.96 ncf('1.1.1.1.3',plain,[aDimensionOf0(xs) = sz00, -(aDimensionOf0(xt) = sz00), aDimensionOf0(xt) = aDimensionOf0(xs)],extension(10 ^ 4,bind([[_94790, _94792, _94794], [sz00, aDimensionOf0(xs), aDimensionOf0(xt)]]))).
% 178.91/173.96 ncf('1.1.1.1.3.1',plain,[aDimensionOf0(xt) = sz00],extension(590 ^ 5)).
% 178.91/173.96 ncf('1.1.1.1.3.2',plain,[-(aDimensionOf0(xt) = aDimensionOf0(xs)), aDimensionOf0(xs) = aDimensionOf0(xt)],extension(4 ^ 5,bind([[_94586, _94588], [aDimensionOf0(xt), aDimensionOf0(xs)]]))).
% 178.91/173.96 ncf('1.1.1.1.3.2.1',plain,[-(aDimensionOf0(xs) = aDimensionOf0(xt))],extension(588 ^ 6)).
% 178.91/173.96 ncf('1.1.2',plain,[-(aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt)))), aVector0(sziznziztdt0(xt))],extension(529 ^ 2,bind([[_110540], [sziznziztdt0(xt)]]))).
% 178.91/173.96 ncf('1.1.2.1',plain,[-(aVector0(sziznziztdt0(xt))), 553 : sziznziztdt0(xt) = sziznziztdt0(xt), 553 : aVector0(xt), 553 : -(aDimensionOf0(xt) = sz00)],extension(545 ^ 3,bind([[_111029, _111312], [xt, sziznziztdt0(xt)]]))).
% 178.91/173.96 ncf('1.1.2.1.1',plain,[-(sziznziztdt0(xt) = sziznziztdt0(xt)), xt = xt],extension(126 ^ 6,bind([[_98581, _98583], [xt, xt]]))).
% 178.91/173.96 ncf('1.1.2.1.1.1',plain,[-(xt = xt)],extension(2 ^ 7,bind([[_94479], [xt]]))).
% 178.91/173.96 ncf('1.1.2.1.2',plain,[-(aVector0(xt))],extension(586 ^ 4)).
% 178.91/173.96 ncf('1.1.2.1.3',plain,[aDimensionOf0(xt) = sz00],extension(590 ^ 4)).
% 178.91/173.96 ncf('1.1.3',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs), aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))],extension(10 ^ 2,bind([[_94790, _94792, _94794], [szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))), aDimensionOf0(xs), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs)))]]))).
% 178.91/173.96 ncf('1.1.3.1',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)), 553 : sziznziztdt0(xs) = sziznziztdt0(xs), 553 : aVector0(xs), 553 : -(aDimensionOf0(xs) = sz00)],extension(545 ^ 3,bind([[_111029, _111312], [xs, sziznziztdt0(xs)]]))).
% 178.91/173.96 ncf('1.1.3.1.1',plain,[-(sziznziztdt0(xs) = sziznziztdt0(xs)), xs = xs],extension(126 ^ 6,bind([[_98581, _98583], [xs, xs]]))).
% 178.91/173.96 ncf('1.1.3.1.1.1',plain,[-(xs = xs)],extension(2 ^ 7,bind([[_94479], [xs]]))).
% 178.91/173.96 ncf('1.1.3.1.2',plain,[-(aVector0(xs))],extension(584 ^ 4)).
% 178.91/173.96 ncf('1.1.3.1.3',plain,[aDimensionOf0(xs) = sz00, -(aDimensionOf0(xt) = sz00), aDimensionOf0(xt) = aDimensionOf0(xs)],extension(10 ^ 4,bind([[_94790, _94792, _94794], [sz00, aDimensionOf0(xs), aDimensionOf0(xt)]]))).
% 178.91/173.96 ncf('1.1.3.1.3.1',plain,[aDimensionOf0(xt) = sz00],extension(590 ^ 5)).
% 178.91/173.96 ncf('1.1.3.1.3.2',plain,[-(aDimensionOf0(xt) = aDimensionOf0(xs)), aDimensionOf0(xs) = aDimensionOf0(xt)],extension(4 ^ 5,bind([[_94586, _94588], [aDimensionOf0(xt), aDimensionOf0(xs)]]))).
% 178.91/173.96 ncf('1.1.3.1.3.2.1',plain,[-(aDimensionOf0(xs) = aDimensionOf0(xt))],extension(588 ^ 6)).
% 178.91/173.96 ncf('1.1.3.2',plain,[-(aDimensionOf0(xs) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xs)],extension(4 ^ 3,bind([[_94586, _94588], [aDimensionOf0(xs), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))]]))).
% 178.91/173.96 ncf('1.1.3.2.1',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xs)), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt), aDimensionOf0(xt) = aDimensionOf0(xs)],extension(10 ^ 4,bind([[_94790, _94792, _94794], [aDimensionOf0(xs), aDimensionOf0(xt), szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt)))]]))).
% 178.91/173.96 ncf('1.1.3.2.1.1',plain,[-(szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)), 553 : sziznziztdt0(xt) = sziznziztdt0(xt), 553 : aVector0(xt), 553 : -(aDimensionOf0(xt) = sz00)],extension(545 ^ 5,bind([[_111029, _111312], [xt, sziznziztdt0(xt)]]))).
% 178.91/173.96 ncf('1.1.3.2.1.1.1',plain,[-(sziznziztdt0(xt) = sziznziztdt0(xt))],extension(2 ^ 8,bind([[_94479], [sziznziztdt0(xt)]]))).
% 178.91/173.96 ncf('1.1.3.2.1.1.2',plain,[-(aVector0(xt))],extension(586 ^ 6)).
% 178.91/173.96 ncf('1.1.3.2.1.1.3',plain,[aDimensionOf0(xt) = sz00],extension(590 ^ 6)).
% 178.91/173.96 ncf('1.1.3.2.1.2',plain,[-(aDimensionOf0(xt) = aDimensionOf0(xs)), aDimensionOf0(xs) = aDimensionOf0(xt)],extension(4 ^ 5,bind([[_94586, _94588], [aDimensionOf0(xt), aDimensionOf0(xs)]]))).
% 178.91/173.96 ncf('1.1.3.2.1.2.1',plain,[-(aDimensionOf0(xs) = aDimensionOf0(xt))],extension(588 ^ 6)).
% 178.91/173.96 %-----------------------------------------------------
% 178.91/173.96 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------