TSTP Solution File: REL003+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n004.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 11:48:44 EDT 2023

% Result   : Theorem 0.36s 1.37s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : REL003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n004.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 17:59:54 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.36/1.37  
% 0.36/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.36/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  ncf(matrix, plain, [(90 ^ _29967) ^ [] : [91 ^ _29967 : [(92 ^ _29967) ^ [] : [-(join(87 ^ [], 88 ^ []) = 88 ^ [])], (94 ^ _29967) ^ [] : [join(converse(87 ^ []), converse(88 ^ [])) = converse(88 ^ [])]], 95 ^ _29967 : [(96 ^ _29967) ^ [] : [-(join(converse(87 ^ []), converse(88 ^ [])) = converse(88 ^ []))], (98 ^ _29967) ^ [] : [join(87 ^ [], 88 ^ []) = 88 ^ []]]], (62 ^ _29967) ^ [_32207, _32209] : [-(join(_32209, _32207) = join(_32207, _32209))], (64 ^ _29967) ^ [_32321, _32323, _32325] : [-(join(_32325, join(_32323, _32321)) = join(join(_32325, _32323), _32321))], (66 ^ _29967) ^ [_32429, _32431] : [-(_32431 = join(complement(join(complement(_32431), complement(_32429))), complement(join(complement(_32431), _32429))))], (68 ^ _29967) ^ [_32542, _32544] : [-(meet(_32544, _32542) = complement(join(complement(_32544), complement(_32542))))], (70 ^ _29967) ^ [_32662, _32664, _32666] : [-(composition(_32666, composition(_32664, _32662)) = composition(composition(_32666, _32664), _32662))], (72 ^ _29967) ^ [_32756] : [-(composition(_32756, one) = _32756)], (74 ^ _29967) ^ [_32865, _32867, _32869] : [-(composition(join(_32869, _32867), _32865) = join(composition(_32869, _32865), composition(_32867, _32865)))], (76 ^ _29967) ^ [_32962] : [-(converse(converse(_32962)) = _32962)], (78 ^ _29967) ^ [_33058, _33060] : [-(converse(join(_33060, _33058)) = join(converse(_33060), converse(_33058)))], (80 ^ _29967) ^ [_33164, _33166] : [-(converse(composition(_33166, _33164)) = composition(converse(_33164), converse(_33166)))], (82 ^ _29967) ^ [_33270, _33272] : [-(join(composition(converse(_33272), complement(composition(_33272, _33270))), complement(_33270)) = complement(_33270))], (84 ^ _29967) ^ [_33367] : [-(top = join(_33367, complement(_33367)))], (86 ^ _29967) ^ [_33430] : [-(zero = meet(_33430, complement(_33430)))], (2 ^ _29967) ^ [_30091] : [-(_30091 = _30091)], (4 ^ _29967) ^ [_30198, _30200] : [_30200 = _30198, -(_30198 = _30200)], (10 ^ _29967) ^ [_30402, _30404, _30406] : [-(_30406 = _30402), _30406 = _30404, _30404 = _30402], (20 ^ _29967) ^ [_30743, _30745, _30747, _30749] : [-(composition(_30749, _30745) = composition(_30747, _30743)), _30749 = _30747, _30745 = _30743], (30 ^ _29967) ^ [_31102, _31104, _31106, _31108] : [-(meet(_31108, _31104) = meet(_31106, _31102)), _31108 = _31106, _31104 = _31102], (40 ^ _29967) ^ [_31433, _31435] : [_31435 = _31433, -(complement(_31435) = complement(_31433))], (46 ^ _29967) ^ [_31651, _31653] : [_31653 = _31651, -(converse(_31653) = converse(_31651))], (52 ^ _29967) ^ [_31877, _31879, _31881, _31883] : [-(join(_31883, _31879) = join(_31881, _31877)), _31883 = _31881, _31879 = _31877]], input).
% 0.36/1.37  ncf('1',plain,[94 : join(converse(87 ^ []), converse(88 ^ [])) = converse(88 ^ []), 98 : join(87 ^ [], 88 ^ []) = 88 ^ []],start(90 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(join(converse(87 ^ []), converse(88 ^ [])) = converse(88 ^ [])), converse(88 ^ []) = join(converse(87 ^ []), converse(88 ^ []))],extension(4 ^ 3,bind([[_30198, _30200], [join(converse(87 ^ []), converse(88 ^ [])), converse(88 ^ [])]]))).
% 0.36/1.37  ncf('1.1.1',plain,[-(converse(88 ^ []) = join(converse(87 ^ []), converse(88 ^ []))), converse(88 ^ []) = converse(join(87 ^ [], 88 ^ [])), converse(join(87 ^ [], 88 ^ [])) = join(converse(87 ^ []), converse(88 ^ []))],extension(10 ^ 4,bind([[_30402, _30404, _30406], [join(converse(87 ^ []), converse(88 ^ [])), converse(join(87 ^ [], 88 ^ [])), converse(88 ^ [])]]))).
% 0.36/1.37  ncf('1.1.1.1',plain,[-(converse(88 ^ []) = converse(join(87 ^ [], 88 ^ []))), converse(join(87 ^ [], 88 ^ [])) = converse(88 ^ [])],extension(4 ^ 5,bind([[_30198, _30200], [converse(88 ^ []), converse(join(87 ^ [], 88 ^ []))]]))).
% 0.36/1.37  ncf('1.1.1.1.1',plain,[-(converse(join(87 ^ [], 88 ^ [])) = converse(88 ^ [])), join(87 ^ [], 88 ^ []) = 88 ^ []],extension(46 ^ 6,bind([[_31651, _31653], [88 ^ [], join(87 ^ [], 88 ^ [])]]))).
% 0.36/1.37  ncf('1.1.1.1.1.1',plain,[-(join(87 ^ [], 88 ^ []) = 88 ^ [])],extension(92 ^ 7)).
% 0.36/1.37  ncf('1.1.1.2',plain,[-(converse(join(87 ^ [], 88 ^ [])) = join(converse(87 ^ []), converse(88 ^ [])))],extension(78 ^ 5,bind([[_33058, _33060], [88 ^ [], 87 ^ []]]))).
% 0.36/1.37  ncf('1.2',plain,[-(join(87 ^ [], 88 ^ []) = 88 ^ []), join(87 ^ [], 88 ^ []) = converse(converse(join(87 ^ [], 88 ^ []))), converse(converse(join(87 ^ [], 88 ^ []))) = 88 ^ []],extension(10 ^ 3,bind([[_30402, _30404, _30406], [88 ^ [], converse(converse(join(87 ^ [], 88 ^ []))), join(87 ^ [], 88 ^ [])]]))).
% 0.36/1.37  ncf('1.2.1',plain,[-(join(87 ^ [], 88 ^ []) = converse(converse(join(87 ^ [], 88 ^ [])))), converse(converse(join(87 ^ [], 88 ^ []))) = join(87 ^ [], 88 ^ [])],extension(4 ^ 4,bind([[_30198, _30200], [join(87 ^ [], 88 ^ []), converse(converse(join(87 ^ [], 88 ^ [])))]]))).
% 0.36/1.37  ncf('1.2.1.1',plain,[-(converse(converse(join(87 ^ [], 88 ^ []))) = join(87 ^ [], 88 ^ []))],extension(76 ^ 5,bind([[_32962], [join(87 ^ [], 88 ^ [])]]))).
% 0.36/1.37  ncf('1.2.2',plain,[-(converse(converse(join(87 ^ [], 88 ^ []))) = 88 ^ []), converse(converse(join(87 ^ [], 88 ^ []))) = converse(join(converse(87 ^ []), converse(88 ^ []))), converse(join(converse(87 ^ []), converse(88 ^ []))) = 88 ^ []],extension(10 ^ 4,bind([[_30402, _30404, _30406], [88 ^ [], converse(join(converse(87 ^ []), converse(88 ^ []))), converse(converse(join(87 ^ [], 88 ^ [])))]]))).
% 0.36/1.37  ncf('1.2.2.1',plain,[-(converse(converse(join(87 ^ [], 88 ^ []))) = converse(join(converse(87 ^ []), converse(88 ^ [])))), converse(join(87 ^ [], 88 ^ [])) = join(converse(87 ^ []), converse(88 ^ []))],extension(46 ^ 5,bind([[_31651, _31653], [join(converse(87 ^ []), converse(88 ^ [])), converse(join(87 ^ [], 88 ^ []))]]))).
% 0.36/1.37  ncf('1.2.2.1.1',plain,[-(converse(join(87 ^ [], 88 ^ [])) = join(converse(87 ^ []), converse(88 ^ [])))],extension(78 ^ 6,bind([[_33058, _33060], [88 ^ [], 87 ^ []]]))).
% 0.36/1.37  ncf('1.2.2.2',plain,[-(converse(join(converse(87 ^ []), converse(88 ^ []))) = 88 ^ []), converse(join(converse(87 ^ []), converse(88 ^ []))) = converse(converse(88 ^ [])), converse(converse(88 ^ [])) = 88 ^ []],extension(10 ^ 5,bind([[_30402, _30404, _30406], [88 ^ [], converse(converse(88 ^ [])), converse(join(converse(87 ^ []), converse(88 ^ [])))]]))).
% 0.36/1.37  ncf('1.2.2.2.1',plain,[-(converse(join(converse(87 ^ []), converse(88 ^ []))) = converse(converse(88 ^ []))), join(converse(87 ^ []), converse(88 ^ [])) = converse(88 ^ [])],extension(46 ^ 6,bind([[_31651, _31653], [converse(88 ^ []), join(converse(87 ^ []), converse(88 ^ []))]]))).
% 0.36/1.37  ncf('1.2.2.2.1.1',plain,[-(join(converse(87 ^ []), converse(88 ^ [])) = converse(88 ^ []))],extension(96 ^ 7)).
% 0.36/1.37  ncf('1.2.2.2.2',plain,[-(converse(converse(88 ^ [])) = 88 ^ [])],extension(76 ^ 6,bind([[_32962], [88 ^ []]]))).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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