TSTP Solution File: SET947+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.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 11:56:43 EDT 2023

% Result   : Theorem 1.11s 1.39s
% Output   : Proof 1.11s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 19:11:06 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 1.11/1.39  
% 1.11/1.39  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 1.11/1.39  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.39  %-----------------------------------------------------
% 1.11/1.39  ncf(matrix, plain, [(141 ^ _20004) ^ [] : [subset(139 ^ [], powerset(union(139 ^ [])))], (70 ^ _20004) ^ [_22367, _22369] : [in(_22369, _22367), in(_22367, _22369)], (133 ^ _20004) ^ [] : [-(empty(131 ^ []))], (136 ^ _20004) ^ [] : [empty(134 ^ [])], (138 ^ _20004) ^ [_24722, _24724] : [-(subset(_24724, _24724))], (126 ^ _20004) ^ [_24364, _24366] : [in(_24366, _24364), -(subset(_24366, union(_24364)))], (117 ^ _20004) ^ [_24007, _24009] : [119 ^ _20004 : [(120 ^ _20004) ^ [] : [-(in(118 ^ [_24007, _24009], _24009))], (122 ^ _20004) ^ [] : [in(118 ^ [_24007, _24009], _24007)]], -(subset(_24009, _24007))], (107 ^ _20004) ^ [_23693, _23695] : [subset(_23695, _23693), 110 ^ _20004 : [(111 ^ _20004) ^ [_23830] : [in(_23830, _23695), -(in(_23830, _23693))]]], (92 ^ _20004) ^ [_23128, _23130] : [-(_23128 = powerset(_23130)), 96 ^ _20004 : [(97 ^ _20004) ^ [] : [-(in(93 ^ [_23128, _23130], _23128))], (99 ^ _20004) ^ [] : [subset(93 ^ [_23128, _23130], _23130)]], 100 ^ _20004 : [(101 ^ _20004) ^ [] : [-(subset(93 ^ [_23128, _23130], _23130))], (103 ^ _20004) ^ [] : [in(93 ^ [_23128, _23130], _23128)]]], (76 ^ _20004) ^ [_22607, _22609] : [_22607 = powerset(_22609), 79 ^ _20004 : [(80 ^ _20004) ^ [_22777] : [in(_22777, _22607), -(subset(_22777, _22609))], (86 ^ _20004) ^ [_22949] : [subset(_22949, _22609), -(in(_22949, _22607))]]], (58 ^ _20004) ^ [_21945, _21947] : [_21947 = _21945, -(powerset(_21947) = powerset(_21945))], (64 ^ _20004) ^ [_22143, _22145] : [_22145 = _22143, -(union(_22145) = union(_22143))], (2 ^ _20004) ^ [_20148] : [-(_20148 = _20148)], (4 ^ _20004) ^ [_20255, _20257] : [_20257 = _20255, -(_20255 = _20257)], (10 ^ _20004) ^ [_20459, _20461, _20463] : [-(_20463 = _20459), _20463 = _20461, _20461 = _20459], (20 ^ _20004) ^ [_20800, _20802, _20804, _20806] : [-(in(_20804, _20800)), in(_20806, _20802), _20806 = _20804, _20802 = _20800], (34 ^ _20004) ^ [_21216, _21218] : [-(empty(_21216)), _21218 = _21216, empty(_21218)], (44 ^ _20004) ^ [_21519, _21521, _21523, _21525] : [-(subset(_21523, _21519)), subset(_21525, _21521), _21525 = _21523, _21521 = _21519]], input).
% 1.11/1.39  ncf('1',plain,[subset(139 ^ [], powerset(union(139 ^ [])))],start(141 ^ 0)).
% 1.11/1.39  ncf('1.1',plain,[-(subset(139 ^ [], powerset(union(139 ^ [])))), 120 : -(in(118 ^ [powerset(union(139 ^ [])), 139 ^ []], 139 ^ []))],extension(117 ^ 1,bind([[_24007, _24009], [powerset(union(139 ^ [])), 139 ^ []]]))).
% 1.11/1.39  ncf('1.1.1',plain,[in(118 ^ [powerset(union(139 ^ [])), 139 ^ []], 139 ^ []), -(subset(118 ^ [powerset(union(139 ^ [])), 139 ^ []], union(139 ^ [])))],extension(126 ^ 4,bind([[_24364, _24366], [139 ^ [], 118 ^ [powerset(union(139 ^ [])), 139 ^ []]]]))).
% 1.11/1.39  ncf('1.1.1.1',plain,[subset(118 ^ [powerset(union(139 ^ [])), 139 ^ []], union(139 ^ [])), 86 : -(in(118 ^ [powerset(union(139 ^ [])), 139 ^ []], powerset(union(139 ^ [])))), 86 : powerset(union(139 ^ [])) = powerset(union(139 ^ []))],extension(76 ^ 5,bind([[_22607, _22609, _22949], [powerset(union(139 ^ [])), union(139 ^ []), 118 ^ [powerset(union(139 ^ [])), 139 ^ []]]]))).
% 1.11/1.39  ncf('1.1.1.1.1',plain,[in(118 ^ [powerset(union(139 ^ [])), 139 ^ []], powerset(union(139 ^ [])))],extension(122 ^ 8)).
% 1.11/1.39  ncf('1.1.1.1.2',plain,[-(powerset(union(139 ^ [])) = powerset(union(139 ^ [])))],extension(2 ^ 6,bind([[_20148], [powerset(union(139 ^ []))]]))).
% 1.11/1.39  %-----------------------------------------------------
% 1.11/1.39  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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