TSTP Solution File: SET151-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET151-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n012.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  : 600s
% DateTime : Tue Jul 19 04:59:30 EDT 2022

% Result   : Unsatisfiable 4.58s 0.99s
% Output   : Proof 4.58s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(complement(null_class),universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complement_of_null_class_1)]) ).

cnf(g1,plain,
    ( ~ sPE(universal_class,complement(null_class))
    | sPE(complement(null_class),universal_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    subclass(complement(null_class),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g3,plain,
    ( ~ member(not_subclass_element(universal_class,complement(null_class)),complement(null_class))
    | subclass(universal_class,complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g4,plain,
    ( subclass(universal_class,complement(null_class))
    | member(not_subclass_element(universal_class,complement(null_class)),universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g5,plain,
    ( ~ subclass(universal_class,complement(null_class))
    | ~ subclass(complement(null_class),universal_class)
    | sPE(universal_class,complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g6,plain,
    ( ~ member(not_subclass_element(universal_class,complement(null_class)),universal_class)
    | member(not_subclass_element(universal_class,complement(null_class)),null_class)
    | member(not_subclass_element(universal_class,complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g7,plain,
    ( ~ member(not_subclass_element(universal_class,complement(null_class)),universal_class)
    | member(not_subclass_element(universal_class,complement(null_class)),complement(null_class))
    | member(not_subclass_element(universal_class,complement(null_class)),complement(complement(null_class))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g8,plain,
    ( ~ subclass(null_class,complement(null_class))
    | ~ member(not_subclass_element(universal_class,complement(null_class)),null_class)
    | member(not_subclass_element(universal_class,complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g9,plain,
    ( sPE(complement(null_class),null_class)
    | sPE(intersection(complement(null_class),regular(complement(null_class))),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity2)]) ).

cnf(g10,plain,
    sPE(complement(null_class),complement(null_class)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(intersection(complement(null_class),regular(complement(null_class))),null_class)
    | ~ sPE(complement(null_class),complement(null_class))
    | ~ subclass(intersection(complement(null_class),regular(complement(null_class))),complement(null_class))
    | subclass(null_class,complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( subclass(intersection(complement(null_class),regular(complement(null_class))),complement(null_class))
    | member(not_subclass_element(intersection(complement(null_class),regular(complement(null_class))),complement(null_class)),intersection(complement(null_class),regular(complement(null_class)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

cnf(g13,plain,
    ( ~ member(not_subclass_element(intersection(complement(null_class),regular(complement(null_class))),complement(null_class)),complement(null_class))
    | subclass(intersection(complement(null_class),regular(complement(null_class))),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).

cnf(g14,plain,
    sPE(not_subclass_element(universal_class,complement(null_class)),not_subclass_element(universal_class,complement(null_class))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ sPE(not_subclass_element(universal_class,complement(null_class)),not_subclass_element(universal_class,complement(null_class)))
    | ~ sPE(complement(complement(null_class)),complement(null_class))
    | ~ member(not_subclass_element(universal_class,complement(null_class)),complement(complement(null_class)))
    | member(not_subclass_element(universal_class,complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(complement(null_class),null_class)
    | sPE(complement(complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ member(not_subclass_element(intersection(complement(null_class),regular(complement(null_class))),complement(null_class)),intersection(complement(null_class),regular(complement(null_class))))
    | member(not_subclass_element(intersection(complement(null_class),regular(complement(null_class))),complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET151-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.14  % Command  : satcop --statistics %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 11:33:43 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 4.58/0.99  % symbols: 58
% 4.58/0.99  % clauses: 160
% 4.58/0.99  % start clauses: 1
% 4.58/0.99  % iterative deepening steps: 673
% 4.58/0.99  % maximum path limit: 5
% 4.58/0.99  % literal attempts: 776715
% 4.58/0.99  % depth failures: 658292
% 4.58/0.99  % regularity failures: 25516
% 4.58/0.99  % tautology failures: 15744
% 4.58/0.99  % reductions: 16011
% 4.58/0.99  % extensions: 760557
% 4.58/0.99  % SAT variables: 220875
% 4.58/0.99  % SAT clauses: 246249
% 4.58/0.99  % WalkSAT solutions: 246242
% 4.58/0.99  % CDCL solutions: 5
% 4.58/0.99  % SZS status Unsatisfiable for theBenchmark
% 4.58/0.99  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------