TSTP Solution File: SET154-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET154-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n022.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 04:59:31 EDT 2022

% Result   : Unsatisfiable 4.86s 1.15s
% Output   : Proof 4.86s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(union(complement(x),x),universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_with_complement_1)]) ).

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

cnf(g2,plain,
    ( subclass(universal_class,union(complement(x),x))
    | member(not_subclass_element(universal_class,union(complement(x),x)),universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).

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

cnf(g4,plain,
    ( ~ subclass(universal_class,union(complement(x),x))
    | ~ subclass(union(complement(x),x),universal_class)
    | sPE(universal_class,union(complement(x),x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g5,plain,
    sPE(complement(intersection(complement(complement(x)),complement(x))),union(complement(x),x)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).

cnf(g6,plain,
    subclass(union(complement(x),x),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g7,plain,
    ( ~ member(not_subclass_element(universal_class,union(complement(x),x)),complement(x))
    | ~ member(not_subclass_element(universal_class,union(complement(x),x)),complement(complement(x))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g8,plain,
    ( ~ member(not_subclass_element(universal_class,union(complement(x),x)),universal_class)
    | member(not_subclass_element(universal_class,union(complement(x),x)),intersection(complement(complement(x)),complement(x)))
    | member(not_subclass_element(universal_class,union(complement(x),x)),complement(intersection(complement(complement(x)),complement(x)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g9,plain,
    ( ~ sPE(complement(intersection(complement(complement(x)),complement(x))),union(complement(x),x))
    | subclass(complement(intersection(complement(complement(x)),complement(x))),union(complement(x),x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).

cnf(g10,plain,
    ( ~ subclass(complement(intersection(complement(complement(x)),complement(x))),union(complement(x),x))
    | ~ member(not_subclass_element(universal_class,union(complement(x),x)),complement(intersection(complement(complement(x)),complement(x))))
    | member(not_subclass_element(universal_class,union(complement(x),x)),union(complement(x),x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g11,plain,
    ( ~ member(not_subclass_element(universal_class,union(complement(x),x)),intersection(complement(complement(x)),complement(x)))
    | member(not_subclass_element(universal_class,union(complement(x),x)),complement(x)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection2)]) ).

cnf(g12,plain,
    ( ~ member(not_subclass_element(universal_class,union(complement(x),x)),intersection(complement(complement(x)),complement(x)))
    | member(not_subclass_element(universal_class,union(complement(x),x)),complement(complement(x))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET154-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n022.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  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 23:35:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 4.86/1.15  % symbols: 59
% 4.86/1.15  % clauses: 160
% 4.86/1.15  % start clauses: 1
% 4.86/1.15  % iterative deepening steps: 950
% 4.86/1.15  % maximum path limit: 5
% 4.86/1.15  % literal attempts: 1500059
% 4.86/1.15  % depth failures: 1245391
% 4.86/1.15  % regularity failures: 53515
% 4.86/1.15  % tautology failures: 40039
% 4.86/1.15  % reductions: 37766
% 4.86/1.15  % extensions: 1461905
% 4.86/1.15  % SAT variables: 142353
% 4.86/1.15  % SAT clauses: 172347
% 4.86/1.15  % WalkSAT solutions: 172346
% 4.86/1.15  % CDCL solutions: 0
% 4.86/1.15  % SZS status Unsatisfiable for theBenchmark
% 4.86/1.15  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------