TSTP Solution File: LCL686+1.005 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n016.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 11:33:50 EDT 2023

% Result   : Theorem 0.40s 1.39s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu May 18 16:48:11 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.40/1.39  
% 0.40/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.40/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.39  %-----------------------------------------------------
% 0.40/1.39  ncf(matrix, plain, [(2 ^ _86033) ^ [_86117] : [-(r1(_86117, _86117))], (4 ^ _86033) ^ [_86218, _86220, _86222] : [-(r1(_86222, _86218)), r1(_86222, _86220), r1(_86220, _86218)], (16 ^ _86033) ^ [] : [-(r1(13 ^ [], 14 ^ []))], (18 ^ _86033) ^ [] : [-(p15(14 ^ []))], (21 ^ _86033) ^ [] : [-(r1(14 ^ [], 19 ^ []))], (23 ^ _86033) ^ [] : [-(p1(19 ^ []))], (26 ^ _86033) ^ [] : [-(r1(13 ^ [], 24 ^ []))], (28 ^ _86033) ^ [_89133] : [r1(24 ^ [], _89133), 32 ^ _86033 : [(269 ^ _86033) ^ [_101869] : [r1(_89133, _101869), 272 ^ _86033 : [(273 ^ _86033) ^ [] : [p2(_101869), -(p1(_101869))], (279 ^ _86033) ^ [] : [-(p2(_101869)), p1(_101869)]]], (286 ^ _86033) ^ [] : [-(r1(_89133, 284 ^ [_89133]))], (288 ^ _86033) ^ [] : [p15(284 ^ [_89133])], (291 ^ _86033) ^ [] : [-(r1(_89133, 289 ^ [_89133]))], (293 ^ _86033) ^ [] : [-(p13(289 ^ [_89133])), -(p14(289 ^ [_89133]))], (299 ^ _86033) ^ [] : [p14(289 ^ [_89133]), p13(289 ^ [_89133])], (305 ^ _86033) ^ [] : [-(p12(289 ^ [_89133])), -(p13(289 ^ [_89133]))], (311 ^ _86033) ^ [] : [p13(289 ^ [_89133]), p12(289 ^ [_89133])], (317 ^ _86033) ^ [] : [-(p11(289 ^ [_89133])), -(p12(289 ^ [_89133]))], (323 ^ _86033) ^ [] : [p12(289 ^ [_89133]), p11(289 ^ [_89133])], (329 ^ _86033) ^ [] : [-(p10(289 ^ [_89133])), -(p11(289 ^ [_89133]))], (335 ^ _86033) ^ [] : [p11(289 ^ [_89133]), p10(289 ^ [_89133])], (341 ^ _86033) ^ [] : [-(p9(289 ^ [_89133])), -(p10(289 ^ [_89133]))], (347 ^ _86033) ^ [] : [p10(289 ^ [_89133]), p9(289 ^ [_89133])], (353 ^ _86033) ^ [] : [-(p8(289 ^ [_89133])), -(p9(289 ^ [_89133]))], (359 ^ _86033) ^ [] : [p9(289 ^ [_89133]), p8(289 ^ [_89133])], (365 ^ _86033) ^ [] : [-(p7(289 ^ [_89133])), -(p8(289 ^ [_89133]))], (371 ^ _86033) ^ [] : [p8(289 ^ [_89133]), p7(289 ^ [_89133])], (377 ^ _86033) ^ [] : [-(p6(289 ^ [_89133])), -(p7(289 ^ [_89133]))], (383 ^ _86033) ^ [] : [p7(289 ^ [_89133]), p6(289 ^ [_89133])], (389 ^ _86033) ^ [] : [-(p5(289 ^ [_89133])), -(p6(289 ^ [_89133]))], (395 ^ _86033) ^ [] : [p6(289 ^ [_89133]), p5(289 ^ [_89133])], (401 ^ _86033) ^ [] : [-(p4(289 ^ [_89133])), -(p5(289 ^ [_89133]))], (407 ^ _86033) ^ [] : [p5(289 ^ [_89133]), p4(289 ^ [_89133])], (413 ^ _86033) ^ [] : [-(p3(289 ^ [_89133])), -(p4(289 ^ [_89133]))], (419 ^ _86033) ^ [] : [p4(289 ^ [_89133]), p3(289 ^ [_89133])], (425 ^ _86033) ^ [] : [-(p2(289 ^ [_89133])), -(p3(289 ^ [_89133]))], (431 ^ _86033) ^ [] : [p3(289 ^ [_89133]), p2(289 ^ [_89133])], (437 ^ _86033) ^ [] : [-(p1(289 ^ [_89133])), -(p2(289 ^ [_89133]))], (443 ^ _86033) ^ [] : [p2(289 ^ [_89133]), p1(289 ^ [_89133])], (33 ^ _86033) ^ [] : [-(r1(_89133, 31 ^ [_89133]))], (253 ^ _86033) ^ [_101404] : [r1(31 ^ [_89133], _101404), 256 ^ _86033 : [(257 ^ _86033) ^ [] : [p3(_101404), -(p2(_101404))], (263 ^ _86033) ^ [] : [-(p3(_101404)), p2(_101404)]]], (36 ^ _86033) ^ [] : [-(r1(31 ^ [_89133], 34 ^ [_89133]))], (237 ^ _86033) ^ [_100959] : [r1(34 ^ [_89133], _100959), 240 ^ _86033 : [(241 ^ _86033) ^ [] : [p4(_100959), -(p3(_100959))], (247 ^ _86033) ^ [] : [-(p4(_100959)), p3(_100959)]]], (39 ^ _86033) ^ [] : [-(r1(34 ^ [_89133], 37 ^ [_89133]))], (221 ^ _86033) ^ [_100514] : [r1(37 ^ [_89133], _100514), 224 ^ _86033 : [(225 ^ _86033) ^ [] : [p5(_100514), -(p4(_100514))], (231 ^ _86033) ^ [] : [-(p5(_100514)), p4(_100514)]]], (42 ^ _86033) ^ [] : [-(r1(37 ^ [_89133], 40 ^ [_89133]))], (205 ^ _86033) ^ [_100069] : [r1(40 ^ [_89133], _100069), 208 ^ _86033 : [(209 ^ _86033) ^ [] : [p6(_100069), -(p5(_100069))], (215 ^ _86033) ^ [] : [-(p6(_100069)), p5(_100069)]]], (45 ^ _86033) ^ [] : [-(r1(40 ^ [_89133], 43 ^ [_89133]))], (189 ^ _86033) ^ [_99624] : [r1(43 ^ [_89133], _99624), 192 ^ _86033 : [(193 ^ _86033) ^ [] : [p7(_99624), -(p6(_99624))], (199 ^ _86033) ^ [] : [-(p7(_99624)), p6(_99624)]]], (48 ^ _86033) ^ [] : [-(r1(43 ^ [_89133], 46 ^ [_89133]))], (173 ^ _86033) ^ [_99179] : [r1(46 ^ [_89133], _99179), 176 ^ _86033 : [(177 ^ _86033) ^ [] : [p8(_99179), -(p7(_99179))], (183 ^ _86033) ^ [] : [-(p8(_99179)), p7(_99179)]]], (51 ^ _86033) ^ [] : [-(r1(46 ^ [_89133], 49 ^ [_89133]))], (157 ^ _86033) ^ [_98734] : [r1(49 ^ [_89133], _98734), 160 ^ _86033 : [(161 ^ _86033) ^ [] : [p9(_98734), -(p8(_98734))], (167 ^ _86033) ^ [] : [-(p9(_98734)), p8(_98734)]]], (54 ^ _86033) ^ [] : [-(r1(49 ^ [_89133], 52 ^ [_89133]))], (141 ^ _86033) ^ [_98289] : [r1(52 ^ [_89133], _98289), 144 ^ _86033 : [(145 ^ _86033) ^ [] : [p10(_98289), -(p9(_98289))], (151 ^ _86033) ^ [] : [-(p10(_98289)), p9(_98289)]]], (57 ^ _86033) ^ [] : [-(r1(52 ^ [_89133], 55 ^ [_89133]))], (125 ^ _86033) ^ [_97844] : [r1(55 ^ [_89133], _97844), 128 ^ _86033 : [(129 ^ _86033) ^ [] : [p11(_97844), -(p10(_97844))], (135 ^ _86033) ^ [] : [-(p11(_97844)), p10(_97844)]]], (60 ^ _86033) ^ [] : [-(r1(55 ^ [_89133], 58 ^ [_89133]))], (109 ^ _86033) ^ [_97399] : [r1(58 ^ [_89133], _97399), 112 ^ _86033 : [(113 ^ _86033) ^ [] : [p12(_97399), -(p11(_97399))], (119 ^ _86033) ^ [] : [-(p12(_97399)), p11(_97399)]]], (63 ^ _86033) ^ [] : [-(r1(58 ^ [_89133], 61 ^ [_89133]))], (93 ^ _86033) ^ [_96954] : [r1(61 ^ [_89133], _96954), 96 ^ _86033 : [(97 ^ _86033) ^ [] : [p13(_96954), -(p12(_96954))], (103 ^ _86033) ^ [] : [-(p13(_96954)), p12(_96954)]]], (66 ^ _86033) ^ [] : [-(r1(61 ^ [_89133], 64 ^ [_89133]))], (69 ^ _86033) ^ [] : [-(r1(64 ^ [_89133], 67 ^ [_89133]))], (71 ^ _86033) ^ [] : [false___, -(false___)], (77 ^ _86033) ^ [_96507] : [r1(64 ^ [_89133], _96507), 80 ^ _86033 : [(81 ^ _86033) ^ [] : [p14(_96507), -(p13(_96507))], (87 ^ _86033) ^ [] : [-(p14(_96507)), p13(_96507)]]]]]], input).
% 0.40/1.39  ncf('1',plain,[r1(24 ^ [], 24 ^ []), 443 : p2(289 ^ [24 ^ []]), 443 : p1(289 ^ [24 ^ []])],start(28 ^ 0,bind([[_89133], [24 ^ []]]))).
% 0.40/1.39  ncf('1.1',plain,[-(r1(24 ^ [], 24 ^ []))],extension(2 ^ 1,bind([[_86117], [24 ^ []]]))).
% 0.40/1.39  ncf('1.2',plain,[-(p2(289 ^ [24 ^ []])), 279 : p1(289 ^ [24 ^ []]), 279 : r1(24 ^ [], 289 ^ [24 ^ []])],extension(269 ^ 3,bind([[_101869], [289 ^ [24 ^ []]]]))).
% 0.40/1.39  ncf('1.2.1',plain,[-(p1(289 ^ [24 ^ []])), -(p2(289 ^ [24 ^ []]))],extension(437 ^ 6)).
% 0.40/1.39  ncf('1.2.1.1',plain,[p2(289 ^ [24 ^ []])],reduction('1')).
% 0.40/1.39  ncf('1.2.2',plain,[-(r1(24 ^ [], 289 ^ [24 ^ []]))],extension(291 ^ 4)).
% 0.40/1.39  ncf('1.3',plain,[-(p1(289 ^ [24 ^ []])), 273 : p2(289 ^ [24 ^ []]), 273 : r1(24 ^ [], 289 ^ [24 ^ []])],extension(269 ^ 3,bind([[_101869], [289 ^ [24 ^ []]]]))).
% 0.40/1.39  ncf('1.3.1',plain,[-(p2(289 ^ [24 ^ []]))],lemmata('x')).
% 0.40/1.39  ncf('1.3.2',plain,[-(r1(24 ^ [], 289 ^ [24 ^ []]))],extension(291 ^ 4)).
% 0.40/1.39  %-----------------------------------------------------
% 0.40/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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