TSTP Solution File: NUN081+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% 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 11:46:31 EDT 2023

% Result   : Theorem 0.95s 1.37s
% Output   : Proof 0.95s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n016.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 21:37:11 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.95/1.37  
% 0.95/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.95/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.95/1.37  %-----------------------------------------------------
% 0.95/1.37  ncf(matrix, plain, [(224 ^ _46514) ^ [_55356, _55358, _55360] : [r3(_55360, _55358, _55356), 227 ^ _46514 : [(228 ^ _46514) ^ [_55531] : [id(_55356, _55531), 231 ^ _46514 : [(232 ^ _46514) ^ [_55703] : [r2(_55703, _55531), 235 ^ _46514 : [(236 ^ _46514) ^ [_55870] : [r2(_55870, _55703), 239 ^ _46514 : [(240 ^ _46514) ^ [_56032] : [r1(_56032), r2(_56032, _55870)]]]]]]]]], (3 ^ _46514) ^ [_46675] : [4 ^ _46514 : [(5 ^ _46514) ^ [] : [-(id(_46675, 1 ^ []))], (7 ^ _46514) ^ [] : [-(r1(_46675))]], 8 ^ _46514 : [(9 ^ _46514) ^ [] : [r1(_46675)], (11 ^ _46514) ^ [] : [id(_46675, 1 ^ [])]]], (14 ^ _46514) ^ [_47090, _47092] : [15 ^ _46514 : [(16 ^ _46514) ^ [] : [-(id(_47090, 12 ^ [_47092]))], (18 ^ _46514) ^ [] : [-(r2(_47092, _47090))]], 19 ^ _46514 : [(20 ^ _46514) ^ [] : [r2(_47092, _47090)], (22 ^ _46514) ^ [] : [id(_47090, 12 ^ [_47092])]]], (25 ^ _46514) ^ [_47557, _47559, _47561] : [26 ^ _46514 : [(27 ^ _46514) ^ [] : [-(id(_47557, 23 ^ [_47559, _47561]))], (29 ^ _46514) ^ [] : [-(r3(_47561, _47559, _47557))]], 30 ^ _46514 : [(31 ^ _46514) ^ [] : [r3(_47561, _47559, _47557)], (33 ^ _46514) ^ [] : [id(_47557, 23 ^ [_47559, _47561])]]], (36 ^ _46514) ^ [_48046, _48048, _48050] : [37 ^ _46514 : [(38 ^ _46514) ^ [] : [-(id(_48046, 34 ^ [_48048, _48050]))], (40 ^ _46514) ^ [] : [-(r4(_48050, _48048, _48046))]], 41 ^ _46514 : [(42 ^ _46514) ^ [] : [r4(_48050, _48048, _48046)], (44 ^ _46514) ^ [] : [id(_48046, 34 ^ [_48048, _48050])]]], (46 ^ _46514) ^ [_48422] : [-(id(_48422, _48422))], (48 ^ _46514) ^ [_48529, _48531] : [id(_48531, _48529), -(id(_48529, _48531))], (54 ^ _46514) ^ [_48755, _48757, _48759] : [id(_48759, _48757), -(id(_48759, _48755)), id(_48757, _48755)], (64 ^ _46514) ^ [_49068, _49070] : [id(_49070, _49068), 69 ^ _46514 : [(70 ^ _46514) ^ [] : [r1(_49070)], (72 ^ _46514) ^ [] : [r1(_49068)]], 73 ^ _46514 : [(74 ^ _46514) ^ [] : [-(r1(_49070))], (76 ^ _46514) ^ [] : [-(r1(_49068))]]], (78 ^ _46514) ^ [_49542, _49544, _49546, _49548] : [id(_49548, _49544), id(_49546, _49542), 87 ^ _46514 : [(88 ^ _46514) ^ [] : [r2(_49548, _49546)], (90 ^ _46514) ^ [] : [r2(_49544, _49542)]], 91 ^ _46514 : [(92 ^ _46514) ^ [] : [-(r2(_49548, _49546))], (94 ^ _46514) ^ [] : [-(r2(_49544, _49542))]]], (96 ^ _46514) ^ [_50179, _50181, _50183, _50185, _50187, _50189] : [id(_50189, _50183), id(_50187, _50181), id(_50185, _50179), 109 ^ _46514 : [(110 ^ _46514) ^ [] : [r3(_50189, _50187, _50185)], (112 ^ _46514) ^ [] : [r3(_50183, _50181, _50179)]], 113 ^ _46514 : [(114 ^ _46514) ^ [] : [-(r3(_50189, _50187, _50185))], (116 ^ _46514) ^ [] : [-(r3(_50183, _50181, _50179))]]], (118 ^ _46514) ^ [_50967, _50969, _50971, _50973, _50975, _50977] : [id(_50977, _50971), id(_50975, _50969), id(_50973, _50967), 131 ^ _46514 : [(132 ^ _46514) ^ [] : [r4(_50977, _50975, _50973)], (134 ^ _46514) ^ [] : [r4(_50971, _50969, _50967)]], 135 ^ _46514 : [(136 ^ _46514) ^ [] : [-(r4(_50977, _50975, _50973))], (138 ^ _46514) ^ [] : [-(r4(_50971, _50969, _50967))]]], (142 ^ _46514) ^ [_51872, _51874] : [-(id(140 ^ [_51872, _51874], 139 ^ [_51872, _51874]))], (145 ^ _46514) ^ [_52007, _52009] : [-(r2(_52007, 143 ^ [_52007, _52009]))], (147 ^ _46514) ^ [_52060, _52062] : [-(r3(_52062, 143 ^ [_52060, _52062], 140 ^ [_52060, _52062]))], (150 ^ _46514) ^ [_52200, _52202] : [-(r2(148 ^ [_52200, _52202], 139 ^ [_52200, _52202]))], (152 ^ _46514) ^ [_52260, _52262] : [-(r3(_52262, _52260, 148 ^ [_52260, _52262]))], (156 ^ _46514) ^ [_52559, _52561] : [-(id(154 ^ [_52559, _52561], 153 ^ [_52559, _52561]))], (159 ^ _46514) ^ [_52694, _52696] : [-(r2(_52694, 157 ^ [_52694, _52696]))], (161 ^ _46514) ^ [_52747, _52749] : [-(r4(_52749, 157 ^ [_52747, _52749], 154 ^ [_52747, _52749]))], (164 ^ _46514) ^ [_52888, _52890] : [-(r3(162 ^ [_52888, _52890], _52890, 153 ^ [_52888, _52890]))], (166 ^ _46514) ^ [_52949, _52951] : [-(r4(_52951, _52949, 162 ^ [_52949, _52951]))], (168 ^ _46514) ^ [_53074, _53076] : [-(id(_53076, _53074)), 169 ^ _46514 : [(170 ^ _46514) ^ [_53183] : [r2(_53074, _53183), 171 ^ _46514 : [(172 ^ _46514) ^ [_53287] : [id(_53287, _53183), r2(_53076, _53287)]]]]], (183 ^ _46514) ^ [_53668] : [-(id(181 ^ [_53668], _53668))], (186 ^ _46514) ^ [_53787] : [-(r1(184 ^ [_53787]))], (188 ^ _46514) ^ [_53835] : [-(r3(_53835, 184 ^ [_53835], 181 ^ [_53835]))], (192 ^ _46514) ^ [_54084] : [-(r1(190 ^ [_54084]))], (194 ^ _46514) ^ [_54132] : [-(r4(_54132, 190 ^ [_54132], 189 ^ [_54132]))], (197 ^ _46514) ^ [_54258] : [-(id(189 ^ [_54258], 195 ^ [_54258]))], (199 ^ _46514) ^ [_54312] : [-(r1(195 ^ [_54312]))], (201 ^ _46514) ^ [_54415] : [203 ^ _46514 : [(204 ^ _46514) ^ [] : [-(id(_54415, 202 ^ [_54415]))], (206 ^ _46514) ^ [] : [-(r1(202 ^ [_54415]))]], 209 ^ _46514 : [(210 ^ _46514) ^ [] : [-(id(_54415, 208 ^ [_54415]))], (212 ^ _46514) ^ [] : [-(r2(207 ^ [_54415], 208 ^ [_54415]))]]], (214 ^ _46514) ^ [_54934, _54936] : [r2(_54936, _54934), 215 ^ _46514 : [(216 ^ _46514) ^ [_55031] : [id(_55031, _54934), r1(_55031)]]]], input).
% 0.95/1.37  ncf('1',plain,[r3(143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843], 184 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]], 181 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]]), 228 : id(181 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]], 143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]), 232 : r2(143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], 143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]), 236 : r2(143 ^ [184 ^ [_33159], _33344], 143 ^ [143 ^ [184 ^ [_33159], _33344], _33002]), 240 : r1(184 ^ [_33159]), 240 : r2(184 ^ [_33159], 143 ^ [184 ^ [_33159], _33344])],start(224 ^ 0,bind([[_55356, _55358, _55360, _55531, _55703, _55870, _56032], [181 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]], 184 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]], 143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843], 143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843], 143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], 143 ^ [184 ^ [_33159], _33344], 184 ^ [_33159]]]))).
% 0.95/1.37  ncf('1.1',plain,[-(r3(143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843], 184 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]], 181 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]]))],extension(188 ^ 1,bind([[_53835], [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]]]))).
% 0.95/1.37  ncf('1.2',plain,[-(id(181 ^ [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]], 143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]))],extension(183 ^ 3,bind([[_53668], [143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]]]))).
% 0.95/1.37  ncf('1.3',plain,[-(r2(143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], 143 ^ [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]))],extension(145 ^ 5,bind([[_52007, _52009], [143 ^ [143 ^ [184 ^ [_33159], _33344], _33002], _32843]]))).
% 0.95/1.37  ncf('1.4',plain,[-(r2(143 ^ [184 ^ [_33159], _33344], 143 ^ [143 ^ [184 ^ [_33159], _33344], _33002]))],extension(145 ^ 7,bind([[_52007, _52009], [143 ^ [184 ^ [_33159], _33344], _33002]]))).
% 0.95/1.37  ncf('1.5',plain,[-(r1(184 ^ [_33159]))],extension(186 ^ 9,bind([[_53787], [_33159]]))).
% 0.95/1.37  ncf('1.6',plain,[-(r2(184 ^ [_33159], 143 ^ [184 ^ [_33159], _33344]))],extension(145 ^ 9,bind([[_52007, _52009], [184 ^ [_33159], _33344]]))).
% 0.95/1.37  %-----------------------------------------------------
% 0.95/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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