TSTP Solution File: LCL672+1.001 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:33:46 EDT 2023

% Result   : Theorem 272.47s 263.63s
% Output   : Proof 272.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL672+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 16:38:42 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 272.47/263.63  
% 272.47/263.63  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 272.47/263.63  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 272.47/263.63  %-----------------------------------------------------
% 272.47/263.63  ncf(matrix, plain, [(173 ^ _34985) ^ [_41170] : [r1(169 ^ [], _41170), -(p1(_41170))], (48 ^ _34985) ^ [] : [49 ^ _34985 : [(50 ^ _34985) ^ [_37077] : [r1(13 ^ [], _37077), -(p2(_37077))]], 82 ^ _34985 : [(83 ^ _34985) ^ [_38226] : [r1(13 ^ [], _38226), -(p1(_38226))]], 57 ^ _34985 : [(58 ^ _34985) ^ [_37277] : [r1(13 ^ [], _37277), 61 ^ _34985 : [(62 ^ _34985) ^ [_37465] : [r1(_37277, _37465), 67 ^ _34985 : [(68 ^ _34985) ^ [_37680] : [r1(_37465, _37680), 72 ^ _34985 : [(73 ^ _34985) ^ [] : [-(r1(_37680, 71 ^ [_37277, _37465, _37680]))], (75 ^ _34985) ^ [] : [p1(71 ^ [_37277, _37465, _37680])]]]], 76 ^ _34985 : [(77 ^ _34985) ^ [_38025] : [r1(_37465, _38025), -(p1(_38025))]]]]]]], (4 ^ _34985) ^ [_35170, _35172, _35174] : [-(r1(_35174, _35170)), r1(_35174, _35172), r1(_35172, _35170)], (168 ^ _34985) ^ [] : [-(r1(13 ^ [], 166 ^ []))], (89 ^ _34985) ^ [] : [90 ^ _34985 : [(91 ^ _34985) ^ [_38457] : [r1(13 ^ [], _38457), -(p2(_38457))]], 126 ^ _34985 : [(127 ^ _34985) ^ [_39737] : [r1(13 ^ [], _39737), -(p1(_39737))]], 98 ^ _34985 : [(99 ^ _34985) ^ [_38657] : [r1(13 ^ [], _38657), 117 ^ _34985 : [(118 ^ _34985) ^ [_39400] : [r1(_38657, _39400), 122 ^ _34985 : [(123 ^ _34985) ^ [] : [-(r1(_39400, 121 ^ [_38657, _39400]))], (125 ^ _34985) ^ [] : [p1(121 ^ [_38657, _39400])]]]], 104 ^ _34985 : [(105 ^ _34985) ^ [_38894] : [r1(_38657, _38894), 109 ^ _34985 : [(110 ^ _34985) ^ [] : [-(r1(_38894, 108 ^ [_38657, _38894]))], (112 ^ _34985) ^ [_39193] : [r1(108 ^ [_38657, _38894], _39193), -(p1(_39193))]]]]]]], (15 ^ _34985) ^ [] : [16 ^ _34985 : [(17 ^ _34985) ^ [_36069] : [r1(13 ^ [], _36069), -(p2(_36069))]], 41 ^ _34985 : [(42 ^ _34985) ^ [_36846] : [r1(13 ^ [], _36846), -(p1(_36846))]], 24 ^ _34985 : [(25 ^ _34985) ^ [_36269] : [r1(13 ^ [], _36269), p1(_36269), 30 ^ _34985 : [(31 ^ _34985) ^ [_36463] : [r1(_36269, _36463), 35 ^ _34985 : [(36 ^ _34985) ^ [] : [-(r1(_36463, 34 ^ [_36269, _36463]))], (38 ^ _34985) ^ [] : [-(p1(34 ^ [_36269, _36463]))]]]]]]], (180 ^ _34985) ^ [] : [-(r1(166 ^ [], 178 ^ []))], (185 ^ _34985) ^ [] : [-(r1(13 ^ [], 183 ^ []))], (171 ^ _34985) ^ [] : [-(r1(166 ^ [], 169 ^ []))], (2 ^ _34985) ^ [_35069] : [-(r1(_35069, _35069))], (182 ^ _34985) ^ [] : [p1(178 ^ [])], (133 ^ _34985) ^ [] : [134 ^ _34985 : [(135 ^ _34985) ^ [_39968] : [r1(13 ^ [], _39968), -(p2(_39968))]], 155 ^ _34985 : [(156 ^ _34985) ^ [_40543] : [r1(13 ^ [], _40543), -(p1(_40543))]], 142 ^ _34985 : [(143 ^ _34985) ^ [_40168] : [r1(13 ^ [], _40168), 147 ^ _34985 : [(148 ^ _34985) ^ [] : [-(r1(_40168, 146 ^ [_40168]))], (150 ^ _34985) ^ [] : [false___, -(false___)]]]]], (163 ^ _34985) ^ [] : [-(r1(13 ^ [], 161 ^ []))], (187 ^ _34985) ^ [] : [p1(183 ^ [])], (165 ^ _34985) ^ [] : [p2(161 ^ [])]], input).
% 272.47/263.63  ncf('1',plain,[p1(178 ^ [])],start(182 ^ 0)).
% 272.47/263.63  ncf('1.1',plain,[-(p1(178 ^ [])), 83 : r1(13 ^ [], 178 ^ []), 50 : r1(13 ^ [], 161 ^ []), 50 : -(p2(161 ^ [])), 58 : r1(13 ^ [], 169 ^ []), 62 : r1(169 ^ [], 169 ^ []), 68 : r1(169 ^ [], 169 ^ []), 73 : -(r1(169 ^ [], 71 ^ [169 ^ [], 169 ^ [], 169 ^ []])), 77 : r1(169 ^ [], 71 ^ [13 ^ [], 13 ^ [], 169 ^ []]), 77 : -(p1(71 ^ [13 ^ [], 13 ^ [], 169 ^ []]))],extension(48 ^ 1,bind([[_38226, _37077, _37277, _37465, _37680, _38025], [178 ^ [], 161 ^ [], 169 ^ [], 169 ^ [], 169 ^ [], 71 ^ [13 ^ [], 13 ^ [], 169 ^ []]]]))).
% 272.47/263.63  ncf('1.1.1',plain,[-(r1(13 ^ [], 178 ^ [])), r1(13 ^ [], 178 ^ []), r1(178 ^ [], 178 ^ [])],extension(4 ^ 4,bind([[_35170, _35172, _35174], [178 ^ [], 178 ^ [], 13 ^ []]]))).
% 272.47/263.63  ncf('1.1.1.1',plain,[-(r1(13 ^ [], 178 ^ [])), r1(13 ^ [], 166 ^ []), r1(166 ^ [], 178 ^ [])],extension(4 ^ 5,bind([[_35170, _35172, _35174], [178 ^ [], 166 ^ [], 13 ^ []]]))).
% 272.47/263.63  ncf('1.1.1.1.1',plain,[-(r1(13 ^ [], 166 ^ []))],extension(168 ^ 6)).
% 272.47/263.63  ncf('1.1.1.1.2',plain,[-(r1(166 ^ [], 178 ^ []))],extension(180 ^ 6)).
% 272.47/263.63  ncf('1.1.1.2',plain,[-(r1(178 ^ [], 178 ^ []))],extension(2 ^ 5,bind([[_35069], [178 ^ []]]))).
% 272.47/263.63  ncf('1.1.2',plain,[-(r1(13 ^ [], 161 ^ [])), r1(13 ^ [], 161 ^ []), r1(161 ^ [], 161 ^ [])],extension(4 ^ 4,bind([[_35170, _35172, _35174], [161 ^ [], 161 ^ [], 13 ^ []]]))).
% 272.47/263.63  ncf('1.1.2.1',plain,[-(r1(13 ^ [], 161 ^ []))],extension(163 ^ 5)).
% 272.47/263.63  ncf('1.1.2.2',plain,[-(r1(161 ^ [], 161 ^ []))],extension(2 ^ 5,bind([[_35069], [161 ^ []]]))).
% 272.47/263.63  ncf('1.1.3',plain,[p2(161 ^ [])],extension(165 ^ 4)).
% 272.47/263.63  ncf('1.1.4',plain,[-(r1(13 ^ [], 169 ^ [])), r1(13 ^ [], 169 ^ []), r1(169 ^ [], 169 ^ [])],extension(4 ^ 4,bind([[_35170, _35172, _35174], [169 ^ [], 169 ^ [], 13 ^ []]]))).
% 272.47/263.63  ncf('1.1.4.1',plain,[-(r1(13 ^ [], 169 ^ [])), r1(13 ^ [], 166 ^ []), r1(166 ^ [], 169 ^ [])],extension(4 ^ 5,bind([[_35170, _35172, _35174], [169 ^ [], 166 ^ [], 13 ^ []]]))).
% 272.47/263.63  ncf('1.1.4.1.1',plain,[-(r1(13 ^ [], 166 ^ []))],extension(168 ^ 6)).
% 272.47/263.63  ncf('1.1.4.1.2',plain,[-(r1(166 ^ [], 169 ^ []))],extension(171 ^ 6)).
% 272.47/263.63  ncf('1.1.4.2',plain,[-(r1(169 ^ [], 169 ^ []))],extension(2 ^ 5,bind([[_35069], [169 ^ []]]))).
% 272.47/263.63  ncf('1.1.5',plain,[-(r1(169 ^ [], 169 ^ []))],extension(2 ^ 6,bind([[_35069], [169 ^ []]]))).
% 272.50/263.63  ncf('1.1.6',plain,[-(r1(169 ^ [], 169 ^ []))],extension(2 ^ 8,bind([[_35069], [169 ^ []]]))).
% 272.50/263.63  ncf('1.1.7',plain,[r1(169 ^ [], 71 ^ [169 ^ [], 169 ^ [], 169 ^ []]), -(p1(71 ^ [169 ^ [], 169 ^ [], 169 ^ []]))],extension(173 ^ 10,bind([[_41170], [71 ^ [169 ^ [], 169 ^ [], 169 ^ []]]]))).
% 272.50/263.63  ncf('1.1.7.1',plain,[p1(71 ^ [169 ^ [], 169 ^ [], 169 ^ []])],extension(75 ^ 11)).
% 272.50/263.63  ncf('1.1.8',plain,[-(r1(169 ^ [], 71 ^ [13 ^ [], 13 ^ [], 169 ^ []])), 68 : r1(13 ^ [], 169 ^ []), 68 : r1(13 ^ [], 13 ^ []), 77 : r1(13 ^ [], 178 ^ []), 77 : -(p1(178 ^ [])), 62 : r1(13 ^ [], 13 ^ [])],extension(58 ^ 8,bind([[_37277, _37465, _37680, _38025], [13 ^ [], 13 ^ [], 169 ^ [], 178 ^ []]]))).
% 272.50/263.63  ncf('1.1.8.1',plain,[-(r1(13 ^ [], 169 ^ [])), r1(13 ^ [], 166 ^ []), r1(166 ^ [], 169 ^ [])],extension(4 ^ 13,bind([[_35170, _35172, _35174], [169 ^ [], 166 ^ [], 13 ^ []]]))).
% 272.50/263.63  ncf('1.1.8.1.1',plain,[-(r1(13 ^ [], 166 ^ []))],extension(168 ^ 14)).
% 272.50/263.63  ncf('1.1.8.1.2',plain,[-(r1(166 ^ [], 169 ^ []))],extension(171 ^ 14)).
% 272.50/263.63  ncf('1.1.8.2',plain,[-(r1(13 ^ [], 13 ^ []))],extension(2 ^ 11,bind([[_35069], [13 ^ []]]))).
% 272.50/263.63  ncf('1.1.8.3',plain,[-(r1(13 ^ [], 178 ^ [])), r1(13 ^ [], 166 ^ []), r1(166 ^ [], 178 ^ [])],extension(4 ^ 13,bind([[_35170, _35172, _35174], [178 ^ [], 166 ^ [], 13 ^ []]]))).
% 272.50/263.63  ncf('1.1.8.3.1',plain,[-(r1(13 ^ [], 166 ^ []))],extension(168 ^ 14)).
% 272.50/263.63  ncf('1.1.8.3.2',plain,[-(r1(166 ^ [], 178 ^ []))],extension(180 ^ 14)).
% 272.50/263.63  ncf('1.1.8.4',plain,[p1(178 ^ [])],reduction('1')).
% 272.50/263.63  ncf('1.1.8.5',plain,[-(r1(13 ^ [], 13 ^ []))],extension(2 ^ 9,bind([[_35069], [13 ^ []]]))).
% 272.50/263.63  ncf('1.1.9',plain,[p1(71 ^ [13 ^ [], 13 ^ [], 169 ^ []]), 68 : r1(13 ^ [], 169 ^ []), 68 : r1(13 ^ [], 13 ^ []), 77 : r1(13 ^ [], 178 ^ []), 77 : -(p1(178 ^ [])), 62 : r1(13 ^ [], 13 ^ [])],extension(58 ^ 8,bind([[_37277, _37465, _37680, _38025], [13 ^ [], 13 ^ [], 169 ^ [], 178 ^ []]]))).
% 272.50/263.63  ncf('1.1.9.1',plain,[-(r1(13 ^ [], 169 ^ []))],lemmata('[1].x')).
% 272.50/263.63  ncf('1.1.9.2',plain,[-(r1(13 ^ [], 13 ^ []))],extension(2 ^ 11,bind([[_35069], [13 ^ []]]))).
% 272.50/263.63  ncf('1.1.9.3',plain,[-(r1(13 ^ [], 178 ^ [])), r1(13 ^ [], 166 ^ []), r1(166 ^ [], 178 ^ [])],extension(4 ^ 13,bind([[_35170, _35172, _35174], [178 ^ [], 166 ^ [], 13 ^ []]]))).
% 272.50/263.63  ncf('1.1.9.3.1',plain,[-(r1(13 ^ [], 166 ^ []))],extension(168 ^ 14)).
% 272.50/263.63  ncf('1.1.9.3.2',plain,[-(r1(166 ^ [], 178 ^ []))],extension(180 ^ 14)).
% 272.50/263.63  ncf('1.1.9.4',plain,[p1(178 ^ [])],reduction('1')).
% 272.50/263.63  ncf('1.1.9.5',plain,[-(r1(13 ^ [], 13 ^ []))],extension(2 ^ 9,bind([[_35069], [13 ^ []]]))).
% 272.50/263.63  %-----------------------------------------------------
% 272.50/263.63  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------