TSTP Solution File: SET507-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET507-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n007.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 05:01:41 EDT 2022

% Result   : Unsatisfiable 6.47s 1.20s
% Output   : Proof 6.47s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    subclass(universal_class,null_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1)]) ).

cnf(g1,plain,
    ( ~ subclass(universal_class,null_class)
    | ~ subclass(null_class,universal_class)
    | sPE(universal_class,null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g2,plain,
    ( ~ subclass(null_class,universal_class)
    | ~ subclass(universal_class,null_class)
    | sPE(null_class,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).

cnf(g3,plain,
    subclass(null_class,universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g4,plain,
    ( ~ sPE(null_class,universal_class)
    | ~ sPE(universal_class,null_class)
    | sPE(null_class,null_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    member(omega,universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',omega_in_universal)]) ).

cnf(g6,plain,
    ( ~ sPE(null_class,null_class)
    | sPE(complement(null_class),complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ member(omega,universal_class)
    | member(power_class(omega),universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',power_class2)]) ).

cnf(g8,plain,
    ( ~ sPE(complement(null_class),null_class)
    | sPE(null_class,complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ subclass(universal_class,null_class)
    | ~ member(power_class(omega),universal_class)
    | member(power_class(omega),null_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g10,plain,
    sPE(power_class(omega),power_class(omega)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ member(power_class(omega),null_class)
    | ~ member(power_class(omega),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g12,plain,
    ( ~ sPE(power_class(omega),power_class(omega))
    | ~ sPE(null_class,complement(null_class))
    | ~ member(power_class(omega),null_class)
    | member(power_class(omega),complement(null_class)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( sPE(complement(null_class),null_class)
    | member(regular(complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).

cnf(g14,plain,
    ( ~ member(regular(complement(null_class)),null_class)
    | ~ member(regular(complement(null_class)),complement(null_class)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

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

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

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

cnf(g18,plain,
    subclass(complement(null_class),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET507-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 11:12:47 EDT 2022
% 0.19/0.33  % CPUTime  : 
% 6.47/1.20  % symbols: 58
% 6.47/1.20  % clauses: 160
% 6.47/1.20  % start clauses: 1
% 6.47/1.20  % iterative deepening steps: 500
% 6.47/1.20  % maximum path limit: 4
% 6.47/1.20  % literal attempts: 2515408
% 6.47/1.20  % depth failures: 2450353
% 6.47/1.20  % regularity failures: 6068
% 6.47/1.20  % tautology failures: 2606
% 6.47/1.20  % reductions: 6459
% 6.47/1.20  % extensions: 2508695
% 6.47/1.20  % SAT variables: 277040
% 6.47/1.20  % SAT clauses: 255636
% 6.47/1.20  % WalkSAT solutions: 255628
% 6.47/1.20  % CDCL solutions: 2
% 6.47/1.20  % SZS status Unsatisfiable for theBenchmark
% 6.47/1.20  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------