%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 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 11:56:46 EDT 2023

% Result   : Theorem 0.31s 1.38s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 19:14:41 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.31/1.38  
% 0.31/1.38  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.38  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  ncf(matrix, plain, [(90 ^ _18334) ^ [] : [85 ^ [] = 86 ^ []], (92 ^ _18334) ^ [] : [disjoint(cartesian_product2(singleton(85 ^ []), 87 ^ []), cartesian_product2(singleton(86 ^ []), 88 ^ [])), disjoint(cartesian_product2(87 ^ [], singleton(85 ^ [])), cartesian_product2(88 ^ [], singleton(86 ^ [])))], (61 ^ _18334) ^ [] : [-(empty(59 ^ []))], (64 ^ _18334) ^ [] : [empty(62 ^ [])], (66 ^ _18334) ^ [_20571, _20573] : [disjoint(_20573, _20571), -(disjoint(_20571, _20573))], (72 ^ _18334) ^ [_20809, _20811, _20813, _20815] : [73 ^ _18334 : [(74 ^ _18334) ^ [] : [disjoint(_20815, _20813)], (76 ^ _18334) ^ [] : [disjoint(_20811, _20809)]], -(disjoint(cartesian_product2(_20815, _20811), cartesian_product2(_20813, _20809)))], (80 ^ _18334) ^ [_21101, _21103] : [-(_21103 = _21101), -(disjoint(singleton(_21103), singleton(_21101)))], (54 ^ _18334) ^ [_20168, _20170] : [_20170 = _20168, -(singleton(_20170) = singleton(_20168))], (44 ^ _18334) ^ [_19857, _19859, _19861, _19863] : [-(cartesian_product2(_19863, _19859) = cartesian_product2(_19861, _19857)), _19863 = _19861, _19859 = _19857], (2 ^ _18334) ^ [_18478] : [-(_18478 = _18478)], (4 ^ _18334) ^ [_18585, _18587] : [_18587 = _18585, -(_18585 = _18587)], (10 ^ _18334) ^ [_18789, _18791, _18793] : [-(_18793 = _18789), _18793 = _18791, _18791 = _18789], (20 ^ _18334) ^ [_19102, _19104] : [-(empty(_19102)), _19104 = _19102, empty(_19104)], (30 ^ _18334) ^ [_19405, _19407, _19409, _19411] : [-(disjoint(_19409, _19405)), disjoint(_19411, _19407), _19411 = _19409, _19407 = _19405]], input).
% 0.31/1.38  ncf('1',plain,[disjoint(cartesian_product2(singleton(85 ^ []), 87 ^ []), cartesian_product2(singleton(86 ^ []), 88 ^ [])), disjoint(cartesian_product2(87 ^ [], singleton(85 ^ [])), cartesian_product2(88 ^ [], singleton(86 ^ [])))],start(92 ^ 0)).
% 0.31/1.38  ncf('1.1',plain,[-(disjoint(cartesian_product2(singleton(85 ^ []), 87 ^ []), cartesian_product2(singleton(86 ^ []), 88 ^ []))), 74 : disjoint(singleton(85 ^ []), singleton(86 ^ []))],extension(72 ^ 1,bind([[_20809, _20811, _20813, _20815], [88 ^ [], 87 ^ [], singleton(86 ^ []), singleton(85 ^ [])]]))).
% 0.31/1.38  ncf('1.1.1',plain,[-(disjoint(singleton(85 ^ []), singleton(86 ^ []))), -(85 ^ [] = 86 ^ [])],extension(80 ^ 4,bind([[_21101, _21103], [86 ^ [], 85 ^ []]]))).
% 0.31/1.38  ncf('1.1.1.1',plain,[85 ^ [] = 86 ^ []],extension(90 ^ 5)).
% 0.31/1.38  ncf('1.2',plain,[-(disjoint(cartesian_product2(87 ^ [], singleton(85 ^ [])), cartesian_product2(88 ^ [], singleton(86 ^ [])))), 76 : disjoint(singleton(85 ^ []), singleton(86 ^ []))],extension(72 ^ 1,bind([[_20809, _20811, _20813, _20815], [singleton(86 ^ []), singleton(85 ^ []), 88 ^ [], 87 ^ []]]))).
% 0.31/1.38  ncf('1.2.1',plain,[-(disjoint(singleton(85 ^ []), singleton(86 ^ []))), -(85 ^ [] = 86 ^ [])],extension(80 ^ 4,bind([[_21101, _21103], [86 ^ [], 85 ^ []]]))).
% 0.31/1.38  ncf('1.2.1.1',plain,[85 ^ [] = 86 ^ []],extension(90 ^ 5)).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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