TSTP Solution File: SEU186+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n019.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 12:02:34 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
% 0.03/0.11  % Problem  : SEU186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n019.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 13:08:57 EDT 2023
% 0.13/0.33  % 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, [(231 ^ _36026) ^ [] : [-(relation(229 ^ []))], (233 ^ _36026) ^ [_43656, _43658] : [in(ordered_pair(_43658, _43656), 229 ^ [])], (235 ^ _36026) ^ [] : [229 ^ [] = empty_set], (68 ^ _36026) ^ [_38264, _38266] : [_38266 = _38264, -(singleton(_38266) = singleton(_38264))], (74 ^ _36026) ^ [_38510, _38512, _38514, _38516] : [-(unordered_pair(_38516, _38512) = unordered_pair(_38514, _38510)), _38516 = _38514, _38512 = _38510], (84 ^ _36026) ^ [_38849, _38851, _38853, _38855] : [-(ordered_pair(_38855, _38851) = ordered_pair(_38853, _38849)), _38855 = _38853, _38851 = _38849], (2 ^ _36026) ^ [_36170] : [-(_36170 = _36170)], (4 ^ _36026) ^ [_36277, _36279] : [_36279 = _36277, -(_36277 = _36279)], (10 ^ _36026) ^ [_36481, _36483, _36485] : [-(_36485 = _36481), _36485 = _36483, _36483 = _36481], (20 ^ _36026) ^ [_36822, _36824, _36826, _36828] : [-(element(_36826, _36822)), element(_36828, _36824), _36828 = _36826, _36824 = _36822], (34 ^ _36026) ^ [_37238, _37240] : [-(empty(_37238)), _37240 = _37238, empty(_37240)], (44 ^ _36026) ^ [_37533, _37535] : [-(relation(_37533)), _37535 = _37533, relation(_37535)], (54 ^ _36026) ^ [_37836, _37838, _37840, _37842] : [-(in(_37840, _37836)), in(_37842, _37838), _37842 = _37840, _37838 = _37836], (94 ^ _36026) ^ [_39190, _39192] : [in(_39192, _39190), in(_39190, _39192)], (100 ^ _36026) ^ [_39387] : [empty(_39387), -(relation(_39387))], (106 ^ _36026) ^ [_39572, _39574] : [-(unordered_pair(_39574, _39572) = unordered_pair(_39572, _39574))], (120 ^ _36026) ^ [_40163] : [122 ^ _36026 : [(123 ^ _36026) ^ [] : [-(in(121 ^ [_40163], _40163))], (125 ^ _36026) ^ [_40400, _40402] : [121 ^ [_40163] = ordered_pair(_40402, _40400)]], -(relation(_40163))], (108 ^ _36026) ^ [_39702] : [relation(_39702), 111 ^ _36026 : [(112 ^ _36026) ^ [_39850] : [in(_39850, _39702), -(_39850 = ordered_pair(115 ^ [_39702, _39850], 116 ^ [_39702, _39850]))]]], (129 ^ _36026) ^ [_40556, _40558] : [-(ordered_pair(_40558, _40556) = unordered_pair(unordered_pair(_40558, _40556), singleton(_40558)))], (131 ^ _36026) ^ [] : [true___, -(true___)], (137 ^ _36026) ^ [] : [true___, -(true___)], (143 ^ _36026) ^ [] : [true___, -(true___)], (149 ^ _36026) ^ [] : [true___, -(true___)], (155 ^ _36026) ^ [] : [true___, -(true___)], (162 ^ _36026) ^ [_41281] : [-(element(160 ^ [_41281], _41281))], (164 ^ _36026) ^ [] : [-(empty(empty_set))], (166 ^ _36026) ^ [_41430, _41432] : [empty(ordered_pair(_41432, _41430))], (168 ^ _36026) ^ [_41511] : [empty(singleton(_41511))], (170 ^ _36026) ^ [_41603, _41605] : [empty(unordered_pair(_41605, _41603))], (172 ^ _36026) ^ [] : [-(empty(empty_set))], (174 ^ _36026) ^ [] : [-(relation(empty_set))], (177 ^ _36026) ^ [] : [-(empty(175 ^ []))], (179 ^ _36026) ^ [] : [-(relation(175 ^ []))], (182 ^ _36026) ^ [] : [-(empty(180 ^ []))], (185 ^ _36026) ^ [] : [empty(183 ^ [])], (187 ^ _36026) ^ [] : [-(relation(183 ^ []))], (190 ^ _36026) ^ [] : [empty(188 ^ [])], (192 ^ _36026) ^ [_42300, _42302] : [in(_42302, _42300), -(element(_42302, _42300))], (198 ^ _36026) ^ [_42510, _42512] : [element(_42512, _42510), -(empty(_42510)), -(in(_42512, _42510))], (208 ^ _36026) ^ [_42794] : [empty(_42794), -(_42794 = empty_set)], (214 ^ _36026) ^ [_42996, _42998] : [in(_42998, _42996), empty(_42996)], (220 ^ _36026) ^ [_43183, _43185] : [empty(_43185), -(_43185 = _43183), empty(_43183)]], input).
% 0.36/1.37  ncf('1',plain,[229 ^ [] = empty_set],start(235 ^ 0)).
% 0.36/1.37  ncf('1.1',plain,[-(229 ^ [] = empty_set), empty(229 ^ [])],extension(208 ^ 1,bind([[_42794], [229 ^ []]]))).
% 0.36/1.37  ncf('1.1.1',plain,[-(empty(229 ^ [])), element(160 ^ [229 ^ []], 229 ^ []), -(in(160 ^ [229 ^ []], 229 ^ []))],extension(198 ^ 2,bind([[_42510, _42512], [229 ^ [], 160 ^ [229 ^ []]]]))).
% 0.36/1.37  ncf('1.1.1.1',plain,[-(element(160 ^ [229 ^ []], 229 ^ [])), element(160 ^ [229 ^ []], 229 ^ []), 160 ^ [229 ^ []] = 160 ^ [229 ^ []], 229 ^ [] = 229 ^ []],extension(20 ^ 3,bind([[_36822, _36824, _36826, _36828], [229 ^ [], 229 ^ [], 160 ^ [229 ^ []], 160 ^ [229 ^ []]]]))).
% 0.36/1.37  ncf('1.1.1.1.1',plain,[-(element(160 ^ [229 ^ []], 229 ^ []))],extension(162 ^ 4,bind([[_41281], [229 ^ []]]))).
% 0.36/1.37  ncf('1.1.1.1.2',plain,[-(160 ^ [229 ^ []] = 160 ^ [229 ^ []])],extension(2 ^ 4,bind([[_36170], [160 ^ [229 ^ []]]]))).
% 0.36/1.37  ncf('1.1.1.1.3',plain,[-(229 ^ [] = 229 ^ [])],extension(2 ^ 4,bind([[_36170], [229 ^ []]]))).
% 0.36/1.37  ncf('1.1.1.2',plain,[in(160 ^ [229 ^ []], 229 ^ []), -(in(ordered_pair(115 ^ [229 ^ [], 160 ^ [229 ^ []]], 116 ^ [229 ^ [], 160 ^ [229 ^ []]]), 229 ^ [])), 160 ^ [229 ^ []] = ordered_pair(115 ^ [229 ^ [], 160 ^ [229 ^ []]], 116 ^ [229 ^ [], 160 ^ [229 ^ []]]), 229 ^ [] = 229 ^ []],extension(54 ^ 3,bind([[_37836, _37838, _37840, _37842], [229 ^ [], 229 ^ [], ordered_pair(115 ^ [229 ^ [], 160 ^ [229 ^ []]], 116 ^ [229 ^ [], 160 ^ [229 ^ []]]), 160 ^ [229 ^ []]]]))).
% 0.36/1.37  ncf('1.1.1.2.1',plain,[in(ordered_pair(115 ^ [229 ^ [], 160 ^ [229 ^ []]], 116 ^ [229 ^ [], 160 ^ [229 ^ []]]), 229 ^ [])],extension(233 ^ 4,bind([[_43656, _43658], [116 ^ [229 ^ [], 160 ^ [229 ^ []]], 115 ^ [229 ^ [], 160 ^ [229 ^ []]]]]))).
% 0.36/1.37  ncf('1.1.1.2.2',plain,[-(160 ^ [229 ^ []] = ordered_pair(115 ^ [229 ^ [], 160 ^ [229 ^ []]], 116 ^ [229 ^ [], 160 ^ [229 ^ []]])), 112 : in(160 ^ [229 ^ []], 229 ^ []), 112 : relation(229 ^ [])],extension(108 ^ 4,bind([[_39702, _39850], [229 ^ [], 160 ^ [229 ^ []]]]))).
% 0.36/1.37  ncf('1.1.1.2.2.1',plain,[-(in(160 ^ [229 ^ []], 229 ^ []))],reduction('1.1.1')).
% 0.36/1.37  ncf('1.1.1.2.2.2',plain,[-(relation(229 ^ []))],extension(231 ^ 5)).
% 0.36/1.37  ncf('1.1.1.2.3',plain,[-(229 ^ [] = 229 ^ [])],extension(2 ^ 4,bind([[_36170], [229 ^ []]]))).
% 0.36/1.37  %-----------------------------------------------------
% 0.36/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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