TSTP Solution File: RNG050+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 11:49:41 EDT 2023
% Result : Theorem 0.69s 1.37s
% Output : Proof 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG050+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n027.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 20:46:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.69/1.37
% 0.69/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.69/1.37 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/1.37 %-----------------------------------------------------
% 0.69/1.37 ncf(matrix, plain, [(680 ^ _94676) ^ [] : [sdtlseqdt0(sz0z00, sdtasasdt0(xs, xs))], (674 ^ _94676) ^ [] : [-(aDimensionOf0(xs) = sz00), -(sdtlseqdt0(sz0z00, sdtasasdt0(xs, xs)))], (78 ^ _94676) ^ [_97211, _97213] : [_97213 = _97211, -(smndt0(_97213) = smndt0(_97211))], (84 ^ _94676) ^ [_97429, _97431] : [_97431 = _97429, -(szszuzczcdt0(_97431) = szszuzczcdt0(_97429))], (90 ^ _94676) ^ [_97675, _97677, _97679, _97681] : [-(sdtpldt0(_97681, _97677) = sdtpldt0(_97679, _97675)), _97681 = _97679, _97677 = _97675], (100 ^ _94676) ^ [_98006, _98008] : [_98008 = _98006, -(sziznziztdt0(_98008) = sziznziztdt0(_98006))], (106 ^ _94676) ^ [_98252, _98254, _98256, _98258] : [-(sdtasdt0(_98258, _98254) = sdtasdt0(_98256, _98252)), _98258 = _98256, _98254 = _98252], (116 ^ _94676) ^ [_98611, _98613, _98615, _98617] : [-(sdtlbdtrb0(_98617, _98613) = sdtlbdtrb0(_98615, _98611)), _98617 = _98615, _98613 = _98611], (126 ^ _94676) ^ [_98942, _98944] : [_98944 = _98942, -(aDimensionOf0(_98944) = aDimensionOf0(_98942))], (132 ^ _94676) ^ [_99168, _99170, _99172, _99174] : [-(sdtasasdt0(_99174, _99170) = sdtasasdt0(_99172, _99168)), _99174 = _99172, _99170 = _99168], (2 ^ _94676) ^ [_94820] : [-(_94820 = _94820)], (4 ^ _94676) ^ [_94927, _94929] : [_94929 = _94927, -(_94927 = _94929)], (10 ^ _94676) ^ [_95131, _95133, _95135] : [-(_95135 = _95131), _95135 = _95133, _95133 = _95131], (20 ^ _94676) ^ [_95444, _95446] : [-(aNaturalNumber0(_95444)), _95446 = _95444, aNaturalNumber0(_95446)], (30 ^ _94676) ^ [_95739, _95741] : [-(aScalar0(_95739)), _95741 = _95739, aScalar0(_95741)], (40 ^ _94676) ^ [_96034, _96036] : [-(aVector0(_96034)), _96036 = _96034, aVector0(_96036)], (50 ^ _94676) ^ [_96357, _96359, _96361, _96363] : [-(iLess0(_96361, _96357)), iLess0(_96363, _96359), _96363 = _96361, _96359 = _96357], (64 ^ _94676) ^ [_96781, _96783, _96785, _96787] : [-(sdtlseqdt0(_96785, _96781)), sdtlseqdt0(_96787, _96783), _96787 = _96785, _96783 = _96781], (142 ^ _94676) ^ [_99515] : [aNaturalNumber0(_99515), true___, -(true___)], (152 ^ _94676) ^ [] : [-(aNaturalNumber0(sz00))], (154 ^ _94676) ^ [_99823] : [aNaturalNumber0(_99823), 157 ^ _94676 : [(158 ^ _94676) ^ [] : [-(aNaturalNumber0(szszuzczcdt0(_99823)))], (160 ^ _94676) ^ [] : [szszuzczcdt0(_99823) = sz00]]], (162 ^ _94676) ^ [_100091] : [170 ^ _94676 : [(171 ^ _94676) ^ [] : [-(aNaturalNumber0(169 ^ [_100091]))], (173 ^ _94676) ^ [] : [-(_100091 = szszuzczcdt0(169 ^ [_100091]))]], aNaturalNumber0(_100091), -(_100091 = sz00)], (175 ^ _94676) ^ [_100519, _100521] : [aNaturalNumber0(_100521), aNaturalNumber0(_100519), szszuzczcdt0(_100521) = szszuzczcdt0(_100519), -(_100521 = _100519)], (189 ^ _94676) ^ [_100913, _100915] : [aNaturalNumber0(_100915), aNaturalNumber0(_100913), iLess0(_100915, _100913), true___, -(true___)], (207 ^ _94676) ^ [_101359] : [aNaturalNumber0(_101359), -(iLess0(_101359, szszuzczcdt0(_101359)))], (213 ^ _94676) ^ [_101551] : [aScalar0(_101551), true___, -(true___)], (223 ^ _94676) ^ [] : [-(aScalar0(sz0z00))], (225 ^ _94676) ^ [_101873, _101875] : [-(aScalar0(sdtpldt0(_101875, _101873))), aScalar0(_101875), aScalar0(_101873)], (235 ^ _94676) ^ [_102172, _102174] : [-(aScalar0(sdtasdt0(_102174, _102172))), aScalar0(_102174), aScalar0(_102172)], (245 ^ _94676) ^ [_102457] : [aScalar0(_102457), -(aScalar0(smndt0(_102457)))], (251 ^ _94676) ^ [_102647] : [aScalar0(_102647), 254 ^ _94676 : [(255 ^ _94676) ^ [] : [-(sdtpldt0(_102647, sz0z00) = _102647)], (257 ^ _94676) ^ [] : [-(sdtpldt0(sz0z00, _102647) = _102647)], (259 ^ _94676) ^ [] : [-(sdtasdt0(_102647, sz0z00) = sz0z00)], (261 ^ _94676) ^ [] : [-(sdtasdt0(sz0z00, _102647) = sz0z00)], (263 ^ _94676) ^ [] : [-(sdtpldt0(_102647, smndt0(_102647)) = sz0z00)], (265 ^ _94676) ^ [] : [-(sdtpldt0(smndt0(_102647), _102647) = sz0z00)], (267 ^ _94676) ^ [] : [-(smndt0(smndt0(_102647)) = _102647)], (269 ^ _94676) ^ [] : [-(smndt0(sz0z00) = sz0z00)]]], (271 ^ _94676) ^ [_103414, _103416, _103418] : [282 ^ _94676 : [(283 ^ _94676) ^ [] : [-(sdtpldt0(sdtpldt0(_103418, _103416), _103414) = sdtpldt0(_103418, sdtpldt0(_103416, _103414)))], (285 ^ _94676) ^ [] : [-(sdtpldt0(_103418, _103416) = sdtpldt0(_103416, _103418))], (287 ^ _94676) ^ [] : [-(sdtasdt0(sdtasdt0(_103418, _103416), _103414) = sdtasdt0(_103418, sdtasdt0(_103416, _103414)))], (289 ^ _94676) ^ [] : [-(sdtasdt0(_103418, _103416) = sdtasdt0(_103416, _103418))]], aScalar0(_103418), aScalar0(_103416), aScalar0(_103414)], (291 ^ _94676) ^ [_104125, _104127, _104129] : [302 ^ _94676 : [(303 ^ _94676) ^ [] : [-(sdtasdt0(_104129, sdtpldt0(_104127, _104125)) = sdtpldt0(sdtasdt0(_104129, _104127), sdtasdt0(_104129, _104125)))], (305 ^ _94676) ^ [] : [-(sdtasdt0(sdtpldt0(_104129, _104127), _104125) = sdtpldt0(sdtasdt0(_104129, _104125), sdtasdt0(_104127, _104125)))]], aScalar0(_104129), aScalar0(_104127), aScalar0(_104125)], (307 ^ _94676) ^ [_104686, _104688, _104690, _104692] : [-(sdtasdt0(sdtpldt0(_104692, _104690), sdtpldt0(_104688, _104686)) = sdtpldt0(sdtpldt0(sdtasdt0(_104692, _104688), sdtasdt0(_104692, _104686)), sdtpldt0(sdtasdt0(_104690, _104688), sdtasdt0(_104690, _104686)))), aScalar0(_104692), aScalar0(_104690), aScalar0(_104688), aScalar0(_104686)], (325 ^ _94676) ^ [_105251, _105253] : [332 ^ _94676 : [(333 ^ _94676) ^ [] : [-(sdtasdt0(_105253, smndt0(_105251)) = smndt0(sdtasdt0(_105253, _105251)))], (335 ^ _94676) ^ [] : [-(sdtasdt0(smndt0(_105253), _105251) = smndt0(sdtasdt0(_105253, _105251)))]], aScalar0(_105253), aScalar0(_105251)], (337 ^ _94676) ^ [_105661, _105663] : [-(sdtasdt0(smndt0(_105663), smndt0(_105661)) = sdtasdt0(_105663, _105661)), aScalar0(_105663), aScalar0(_105661)], (347 ^ _94676) ^ [_105976, _105978] : [aScalar0(_105978), aScalar0(_105976), sdtlseqdt0(_105978, _105976), true___, -(true___)], (365 ^ _94676) ^ [_106422] : [aScalar0(_106422), -(sdtlseqdt0(_106422, _106422))], (371 ^ _94676) ^ [_106624, _106626] : [aScalar0(_106626), aScalar0(_106624), -(_106626 = _106624), sdtlseqdt0(_106626, _106624), sdtlseqdt0(_106624, _106626)], (389 ^ _94676) ^ [_107113, _107115, _107117] : [aScalar0(_107117), aScalar0(_107115), aScalar0(_107113), -(sdtlseqdt0(_107117, _107113)), sdtlseqdt0(_107117, _107115), sdtlseqdt0(_107115, _107113)], (411 ^ _94676) ^ [_107727, _107729, _107731, _107733] : [-(sdtlseqdt0(sdtpldt0(_107733, _107729), sdtpldt0(_107731, _107727))), sdtlseqdt0(_107733, _107731), sdtlseqdt0(_107729, _107727), aScalar0(_107733), aScalar0(_107731), aScalar0(_107729), aScalar0(_107727)], (437 ^ _94676) ^ [_108470, _108472, _108474, _108476] : [aScalar0(_108476), aScalar0(_108474), aScalar0(_108472), aScalar0(_108470), -(sdtlseqdt0(sdtasdt0(_108476, _108472), sdtasdt0(_108474, _108470))), sdtlseqdt0(_108476, _108474), sdtlseqdt0(sz0z00, _108472), sdtlseqdt0(_108472, _108470)], (467 ^ _94676) ^ [_109284, _109286] : [aScalar0(_109286), aScalar0(_109284), -(sdtlseqdt0(_109286, _109284)), -(sdtlseqdt0(_109284, _109286))], (481 ^ _94676) ^ [_109671, _109673] : [aScalar0(_109673), aScalar0(_109671), 496 ^ _94676 : [(497 ^ _94676) ^ [] : [-(sdtlseqdt0(sz0z00, sdtpldt0(_109673, _109671)))], (499 ^ _94676) ^ [] : [-(sdtlseqdt0(sz0z00, sdtasdt0(_109673, _109671)))]], sdtlseqdt0(sz0z00, _109673), sdtlseqdt0(sz0z00, _109671)], (501 ^ _94676) ^ [_110219] : [aScalar0(_110219), -(sdtlseqdt0(sz0z00, sdtasdt0(_110219, _110219)))], (507 ^ _94676) ^ [_110427, _110429] : [aScalar0(_110429), aScalar0(_110427), -(_110429 = _110427), sdtlseqdt0(sz0z00, _110429), sdtlseqdt0(sz0z00, _110427), sdtasdt0(_110429, _110429) = sdtasdt0(_110427, _110427)], (529 ^ _94676) ^ [_110989] : [aVector0(_110989), true___, -(true___)], (539 ^ _94676) ^ [_111244] : [aVector0(_111244), -(aNaturalNumber0(aDimensionOf0(_111244)))], (545 ^ _94676) ^ [_111448, _111450] : [-(aScalar0(sdtlbdtrb0(_111450, _111448))), aVector0(_111450), aNaturalNumber0(_111448)], (555 ^ _94676) ^ [_111733] : [aVector0(_111733), -(aDimensionOf0(_111733) = sz00), 562 ^ _94676 : [(563 ^ _94676) ^ [_112016] : [_112016 = sziznziztdt0(_111733), 566 ^ _94676 : [(567 ^ _94676) ^ [] : [-(aVector0(_112016))], (569 ^ _94676) ^ [] : [-(szszuzczcdt0(aDimensionOf0(_112016)) = aDimensionOf0(_111733))], (571 ^ _94676) ^ [_112318] : [aNaturalNumber0(_112318), -(sdtlbdtrb0(_112016, _112318) = sdtlbdtrb0(_111733, _112318))]]], (577 ^ _94676) ^ [_112509] : [-(_112509 = sziznziztdt0(_111733)), aVector0(_112509), szszuzczcdt0(aDimensionOf0(_112509)) = aDimensionOf0(_111733), 587 ^ _94676 : [(588 ^ _94676) ^ [] : [-(aNaturalNumber0(586 ^ [_111733, _112509]))], (590 ^ _94676) ^ [] : [sdtlbdtrb0(_112509, 586 ^ [_111733, _112509]) = sdtlbdtrb0(_111733, 586 ^ [_111733, _112509])]]]]], (594 ^ _94676) ^ [_113091, _113093] : [aVector0(_113093), aVector0(_113091), -(aDimensionOf0(sziznziztdt0(_113093)) = aDimensionOf0(sziznziztdt0(_113091))), aDimensionOf0(_113093) = aDimensionOf0(_113091), -(aDimensionOf0(_113091) = sz00)], (612 ^ _94676) ^ [_113597, _113599] : [aVector0(_113599), aVector0(_113597), aDimensionOf0(_113599) = aDimensionOf0(_113597), -(aScalar0(sdtasasdt0(_113599, _113597)))], (626 ^ _94676) ^ [_113995, _113997] : [aVector0(_113997), aVector0(_113995), -(sdtasasdt0(_113997, _113995) = sz0z00), aDimensionOf0(_113997) = aDimensionOf0(_113995), aDimensionOf0(_113995) = sz00], (662 ^ _94676) ^ [] : [-(aVector0(xs))], (664 ^ _94676) ^ [_115049] : [aVector0(_115049), iLess0(aDimensionOf0(_115049), aDimensionOf0(xs)), -(sdtlseqdt0(sz0z00, sdtasasdt0(_115049, _115049)))], (644 ^ _94676) ^ [_114488, _114490] : [aVector0(_114490), aVector0(_114488), -(sdtasasdt0(_114490, _114488) = sdtpldt0(sdtasasdt0(sziznziztdt0(_114490), sziznziztdt0(_114488)), sdtasdt0(sdtlbdtrb0(_114490, aDimensionOf0(_114490)), sdtlbdtrb0(_114488, aDimensionOf0(_114488))))), aDimensionOf0(_114490) = aDimensionOf0(_114488), -(aDimensionOf0(_114488) = sz00)]], input).
% 0.69/1.37 ncf('1',plain,[sdtlseqdt0(sz0z00, sdtasasdt0(xs, xs))],start(680 ^ 0)).
% 0.69/1.37 ncf('1.1',plain,[-(sdtlseqdt0(sz0z00, sdtasasdt0(xs, xs))), sdtlseqdt0(sz0z00, sz0z00), sz0z00 = sz0z00, sz0z00 = sdtasasdt0(xs, xs)],extension(64 ^ 1,bind([[_96781, _96783, _96785, _96787], [sdtasasdt0(xs, xs), sz0z00, sz0z00, sz0z00]]))).
% 0.69/1.37 ncf('1.1.1',plain,[-(sdtlseqdt0(sz0z00, sz0z00)), sdtlseqdt0(sz0z00, sz0z00), sz0z00 = sz0z00, sz0z00 = sz0z00],extension(64 ^ 2,bind([[_96781, _96783, _96785, _96787], [sz0z00, sz0z00, sz0z00, sz0z00]]))).
% 0.69/1.37 ncf('1.1.1.1',plain,[-(sdtlseqdt0(sz0z00, sz0z00)), sdtlseqdt0(sz0z00, sz0z00), sz0z00 = sz0z00, sz0z00 = sz0z00],extension(64 ^ 3,bind([[_96781, _96783, _96785, _96787], [sz0z00, sz0z00, sz0z00, sz0z00]]))).
% 0.69/1.37 ncf('1.1.1.1.1',plain,[-(sdtlseqdt0(sz0z00, sz0z00)), aScalar0(sz0z00)],extension(365 ^ 4,bind([[_106422], [sz0z00]]))).
% 0.69/1.37 ncf('1.1.1.1.1.1',plain,[-(aScalar0(sz0z00))],extension(223 ^ 5)).
% 0.69/1.37 ncf('1.1.1.1.2',plain,[-(sz0z00 = sz0z00)],extension(2 ^ 4,bind([[_94820], [sz0z00]]))).
% 0.69/1.37 ncf('1.1.1.1.3',plain,[-(sz0z00 = sz0z00)],extension(2 ^ 4,bind([[_94820], [sz0z00]]))).
% 0.69/1.37 ncf('1.1.1.2',plain,[-(sz0z00 = sz0z00)],extension(2 ^ 3,bind([[_94820], [sz0z00]]))).
% 0.69/1.37 ncf('1.1.1.3',plain,[-(sz0z00 = sz0z00)],extension(2 ^ 3,bind([[_94820], [sz0z00]]))).
% 0.69/1.37 ncf('1.1.2',plain,[-(sz0z00 = sz0z00)],extension(2 ^ 2,bind([[_94820], [sz0z00]]))).
% 0.69/1.37 ncf('1.1.3',plain,[-(sz0z00 = sdtasasdt0(xs, xs)), sdtasasdt0(xs, xs) = sz0z00],extension(4 ^ 2,bind([[_94927, _94929], [sz0z00, sdtasasdt0(xs, xs)]]))).
% 0.69/1.37 ncf('1.1.3.1',plain,[-(sdtasasdt0(xs, xs) = sz0z00), aVector0(xs), aVector0(xs), aDimensionOf0(xs) = aDimensionOf0(xs), aDimensionOf0(xs) = sz00],extension(626 ^ 3,bind([[_113995, _113997], [xs, xs]]))).
% 0.69/1.37 ncf('1.1.3.1.1',plain,[-(aVector0(xs))],extension(662 ^ 4)).
% 0.69/1.37 ncf('1.1.3.1.2',plain,[-(aVector0(xs))],lemmata('[3, 1, 1].x')).
% 0.69/1.37 ncf('1.1.3.1.3',plain,[-(aDimensionOf0(xs) = aDimensionOf0(xs))],extension(2 ^ 4,bind([[_94820], [aDimensionOf0(xs)]]))).
% 0.69/1.37 ncf('1.1.3.1.4',plain,[-(aDimensionOf0(xs) = sz00), -(sdtlseqdt0(sz0z00, sdtasasdt0(xs, xs)))],extension(674 ^ 4)).
% 0.69/1.37 ncf('1.1.3.1.4.1',plain,[sdtlseqdt0(sz0z00, sdtasasdt0(xs, xs))],reduction('1')).
% 0.69/1.37 %-----------------------------------------------------
% 0.69/1.37 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------