TSTP Solution File: SET062-6 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET062-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 : Wed May 31 12:33:47 EDT 2023

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET062-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 10:25:27 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.36  % Drodi V3.5.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38  fof(f1,axiom,(
% 0.12/0.38    (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f2,axiom,(
% 0.12/0.38    (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f4,axiom,(
% 0.12/0.38    (![X]: (subclass(X,universal_class) ))),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f5,axiom,(
% 0.12/0.38    (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f24,axiom,(
% 0.12/0.38    (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f66,axiom,(
% 0.12/0.38    (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f92,negated_conjecture,(
% 0.12/0.38    ~ subclass(null_class,x) ),
% 0.12/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38  fof(f93,plain,(
% 0.12/0.38    ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.12/0.38    inference(miniscoping,[status(esa)],[f1])).
% 0.12/0.38  fof(f94,plain,(
% 0.12/0.38    ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f93])).
% 0.12/0.38  fof(f95,plain,(
% 0.12/0.38    ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.38  fof(f97,plain,(
% 0.12/0.38    ![X0]: (subclass(X0,universal_class))),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f4])).
% 0.12/0.38  fof(f98,plain,(
% 0.12/0.38    ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.38  fof(f125,plain,(
% 0.12/0.38    ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f24])).
% 0.12/0.38  fof(f167,plain,(
% 0.12/0.38    ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f66])).
% 0.12/0.38  fof(f198,plain,(
% 0.12/0.38    ~subclass(null_class,x)),
% 0.12/0.38    inference(cnf_transformation,[status(esa)],[f92])).
% 0.12/0.38  fof(f199,plain,(
% 0.12/0.38    ![X0]: (subclass(X0,X0))),
% 0.12/0.38    inference(destructive_equality_resolution,[status(esa)],[f98])).
% 0.12/0.38  fof(f216,plain,(
% 0.12/0.38    ![X0,X1]: (X0=null_class|~subclass(X0,X1)|member(regular(X0),X1))),
% 0.12/0.38    inference(resolution,[status(thm)],[f167,f94])).
% 0.12/0.38  fof(f239,plain,(
% 0.12/0.38    ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 0.12/0.38    inference(resolution,[status(thm)],[f95,f94])).
% 0.12/0.38  fof(f309,plain,(
% 0.12/0.38    ![X0,X1]: (X0=null_class|~subclass(X0,complement(X1))|~member(regular(X0),X1))),
% 0.12/0.38    inference(resolution,[status(thm)],[f216,f125])).
% 0.12/0.38  fof(f324,plain,(
% 0.12/0.38    ![X0,X1]: (X0=null_class|~subclass(X0,complement(X1))|X0=null_class|~subclass(X0,X1))),
% 0.12/0.38    inference(resolution,[status(thm)],[f309,f216])).
% 0.12/0.38  fof(f325,plain,(
% 0.12/0.38    ![X0,X1]: (X0=null_class|~subclass(X0,complement(X1))|~subclass(X0,X1))),
% 0.12/0.38    inference(duplicate_literals_removal,[status(esa)],[f324])).
% 0.12/0.38  fof(f328,plain,(
% 0.12/0.38    ![X0]: (complement(X0)=null_class|~subclass(complement(X0),X0))),
% 0.12/0.38    inference(resolution,[status(thm)],[f325,f199])).
% 0.12/0.38  fof(f329,plain,(
% 0.12/0.38    complement(universal_class)=null_class),
% 0.12/0.38    inference(resolution,[status(thm)],[f328,f97])).
% 0.12/0.38  fof(f334,plain,(
% 0.12/0.38    spl0_13 <=> subclass(null_class,universal_class)),
% 0.12/0.38    introduced(split_symbol_definition)).
% 0.12/0.38  fof(f336,plain,(
% 0.12/0.38    ~subclass(null_class,universal_class)|spl0_13),
% 0.12/0.38    inference(component_clause,[status(thm)],[f334])).
% 0.12/0.38  fof(f359,plain,(
% 0.12/0.38    ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 0.12/0.38    inference(paramodulation,[status(thm)],[f329,f125])).
% 0.12/0.38  fof(f362,plain,(
% 0.12/0.38    $false|spl0_13),
% 0.12/0.38    inference(forward_subsumption_resolution,[status(thm)],[f336,f97])).
% 0.12/0.38  fof(f363,plain,(
% 0.12/0.38    spl0_13),
% 0.12/0.38    inference(contradiction_clause,[status(thm)],[f362])).
% 0.12/0.38  fof(f377,plain,(
% 0.12/0.38    ![X0]: (~member(not_subclass_element(null_class,X0),universal_class)|subclass(null_class,X0))),
% 0.12/0.38    inference(resolution,[status(thm)],[f359,f95])).
% 0.12/0.38  fof(f423,plain,(
% 0.12/0.38    spl0_23 <=> subclass(null_class,X0)|subclass(null_class,X0)),
% 0.12/0.38    introduced(split_symbol_definition)).
% 0.12/0.38  fof(f424,plain,(
% 0.12/0.38    ![X0]: (subclass(null_class,X0)|subclass(null_class,X0)|~spl0_23)),
% 0.19/0.46    inference(component_clause,[status(thm)],[f423])).
% 0.19/0.46  fof(f426,plain,(
% 0.19/0.46    ![X0]: (subclass(null_class,X0)|subclass(null_class,X0)|~subclass(null_class,universal_class))),
% 0.19/0.46    inference(resolution,[status(thm)],[f377,f239])).
% 0.19/0.46  fof(f427,plain,(
% 0.19/0.46    spl0_23|~spl0_13),
% 0.19/0.46    inference(split_clause,[status(thm)],[f426,f423,f334])).
% 0.19/0.46  fof(f428,plain,(
% 0.19/0.46    ![X0]: (subclass(null_class,X0)|~spl0_23)),
% 0.19/0.46    inference(duplicate_literals_removal,[status(esa)],[f424])).
% 0.19/0.46  fof(f746,plain,(
% 0.19/0.46    $false|~spl0_23),
% 0.19/0.46    inference(backward_subsumption_resolution,[status(thm)],[f198,f428])).
% 0.19/0.46  fof(f747,plain,(
% 0.19/0.46    ~spl0_23),
% 0.19/0.46    inference(contradiction_clause,[status(thm)],[f746])).
% 0.19/0.46  fof(f748,plain,(
% 0.19/0.46    $false),
% 0.19/0.46    inference(sat_refutation,[status(thm)],[f363,f427,f747])).
% 0.19/0.46  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.46  % Elapsed time: 0.108283 seconds
% 0.19/0.46  % CPU time: 0.052881 seconds
% 0.19/0.46  % Memory used: 5.971 MB
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