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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 : Thu May  9 17:39:40 EDT 2024

% Result   : Unsatisfiable 3.69s 3.86s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  10 unt;   3 nHn;  17 RR)
%            Number of literals    :   32 (   8 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   17 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(omega_in_universal,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_in_universal) ).

cnf(complement1,axiom,
    ( ~ member(X62,complement(X63))
    | ~ member(X62,X63) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X6,X4)
    | ~ member(X5,X6)
    | member(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(prove_universal_class_not_null_class_1,negated_conjecture,
    universal_class = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1) ).

cnf(equal_implies_subclass1,axiom,
    ( X10 != X9
    | subclass(X10,X9) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).

cnf(c46,plain,
    subclass(universal_class,null_class),
    inference(resolution,[status(thm)],[equal_implies_subclass1,prove_universal_class_not_null_class_1]) ).

cnf(c44,plain,
    ( ~ subclass(universal_class,X100)
    | member(omega,X100) ),
    inference(resolution,[status(thm)],[subclass_members,omega_in_universal]) ).

cnf(c137,plain,
    member(omega,null_class),
    inference(resolution,[status(thm)],[c44,c46]) ).

cnf(c142,plain,
    ( ~ subclass(null_class,X116)
    | member(omega,X116) ),
    inference(resolution,[status(thm)],[c137,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X15 != X14
    | subclass(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).

cnf(regularity1,axiom,
    ( X133 = null_class
    | member(regular(X133),X133) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c243,plain,
    ( complement(X813) = null_class
    | ~ member(regular(complement(X813)),X813) ),
    inference(resolution,[status(thm)],[regularity1,complement1]) ).

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(c244,plain,
    ( X819 = null_class
    | ~ subclass(X819,X820)
    | member(regular(X819),X820) ),
    inference(resolution,[status(thm)],[regularity1,subclass_members]) ).

cnf(c10239,plain,
    ( X822 = null_class
    | member(regular(X822),universal_class) ),
    inference(resolution,[status(thm)],[c244,class_elements_are_sets]) ).

cnf(c10330,plain,
    complement(universal_class) = null_class,
    inference(resolution,[status(thm)],[c10239,c243]) ).

cnf(c10337,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,[status(thm)],[c10330,equal_implies_subclass2]) ).

cnf(c10379,plain,
    member(omega,complement(universal_class)),
    inference(resolution,[status(thm)],[c10337,c142]) ).

cnf(c10496,plain,
    ~ member(omega,universal_class),
    inference(resolution,[status(thm)],[c10379,complement1]) ).

cnf(c10510,plain,
    $false,
    inference(resolution,[status(thm)],[c10496,omega_in_universal]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.15/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37  % Computer : n021.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed May  8 18:51:08 EDT 2024
% 0.22/0.37  % CPUTime  : 
% 3.69/3.86  % Version:  1.5
% 3.69/3.86  % SZS status Unsatisfiable
% 3.69/3.86  % SZS output start CNFRefutation
% See solution above
% 3.69/3.86  
% 3.69/3.86  % Initial clauses    : 160
% 3.69/3.86  % Processed clauses  : 790
% 3.69/3.86  % Factors computed   : 29
% 3.69/3.86  % Resolvents computed: 10438
% 3.69/3.86  % Tautologies deleted: 9
% 3.69/3.86  % Forward subsumed   : 327
% 3.69/3.86  % Backward subsumed  : 5
% 3.69/3.86  % -------- CPU Time ---------
% 3.69/3.86  % User time          : 3.460 s
% 3.69/3.86  % System time        : 0.028 s
% 3.69/3.86  % Total time         : 3.488 s
%------------------------------------------------------------------------------