TSTP Solution File: SET061+1 by PyRes---1.5

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET061+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 17:39:01 EDT 2024

% Result   : Theorem 0.45s 0.62s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   16 (   1 sgn   9   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(null_class_defn,axiom,
    ! [X] : ~ member(X,null_class),
    file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',null_class_defn) ).

fof(c178,plain,
    ! [X] : ~ member(X,null_class),
    inference(fof_simplification,[status(thm)],[null_class_defn]) ).

fof(c179,plain,
    ! [X87] : ~ member(X87,null_class),
    inference(variable_rename,[status(thm)],[c178]) ).

cnf(c180,plain,
    ~ member(X141,null_class),
    inference(split_conjunct,[status(thm)],[c179]) ).

fof(existence_of_null_class,conjecture,
    ? [X] :
    ! [Z] : ~ member(Z,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).

fof(c26,negated_conjecture,
    ~ ? [X] :
      ! [Z] : ~ member(Z,X),
    inference(assume_negation,[status(cth)],[existence_of_null_class]) ).

fof(c27,negated_conjecture,
    ~ ? [X] :
      ! [Z] : ~ member(Z,X),
    inference(fof_simplification,[status(thm)],[c26]) ).

fof(c28,negated_conjecture,
    ! [X] :
    ? [Z] : member(Z,X),
    inference(fof_nnf,[status(thm)],[c27]) ).

fof(c29,negated_conjecture,
    ! [X2] :
    ? [X3] : member(X3,X2),
    inference(variable_rename,[status(thm)],[c28]) ).

fof(c30,negated_conjecture,
    ! [X2] : member(skolem0001(X2),X2),
    inference(skolemize,[status(esa)],[c29]) ).

cnf(c31,negated_conjecture,
    member(skolem0001(X146),X146),
    inference(split_conjunct,[status(thm)],[c30]) ).

cnf(c260,plain,
    $false,
    inference(resolution,[status(thm)],[c31,c180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET061+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed May  8 19:04:23 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.45/0.62  % Version:  1.5
% 0.45/0.62  % SZS status Theorem
% 0.45/0.62  % SZS output start CNFRefutation
% See solution above
% 0.45/0.62  
% 0.45/0.62  % Initial clauses    : 119
% 0.45/0.62  % Processed clauses  : 7
% 0.45/0.62  % Factors computed   : 0
% 0.45/0.62  % Resolvents computed: 2
% 0.45/0.62  % Tautologies deleted: 0
% 0.45/0.62  % Forward subsumed   : 1
% 0.45/0.62  % Backward subsumed  : 0
% 0.45/0.62  % -------- CPU Time ---------
% 0.45/0.62  % User time          : 0.251 s
% 0.45/0.62  % System time        : 0.019 s
% 0.45/0.62  % Total time         : 0.270 s
%------------------------------------------------------------------------------