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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n009.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 17:38:23 EDT 2024

% Result   : Theorem 0.59s 0.77s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   35 (  12 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   31 (   8   ~;   3   |;  20   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   2   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__1933,plain,
    ( ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xx )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xy )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1933) ).

fof(c24,plain,
    ( ? [X3] :
        ( aElement0(X3)
        & sdtasdt0(xc,X3) = xx )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X4] :
        ( aElement0(X4)
        & sdtasdt0(xc,X4) = xy )
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    inference(variable_rename,[status(thm)],[m__1933]) ).

fof(c25,plain,
    ( aElement0(skolem0001)
    & sdtasdt0(xc,skolem0001) = xx
    & aElementOf0(xx,slsdtgt0(xc))
    & aElement0(skolem0002)
    & sdtasdt0(xc,skolem0002) = xy
    & aElementOf0(xy,slsdtgt0(xc))
    & aElement0(xz) ),
    inference(skolemize,[status(esa)],[c24]) ).

cnf(c29,plain,
    aElement0(skolem0002),
    inference(split_conjunct,[status(thm)],[c25]) ).

cnf(c30,plain,
    sdtasdt0(xc,skolem0002) = xy,
    inference(split_conjunct,[status(thm)],[c25]) ).

fof(m__,conjecture,
    ? [W0] :
      ( aElement0(W0)
      & sdtasdt0(xc,W0) = xy ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(c18,negated_conjecture,
    ~ ? [W0] :
        ( aElement0(W0)
        & sdtasdt0(xc,W0) = xy ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c19,negated_conjecture,
    ! [W0] :
      ( ~ aElement0(W0)
      | sdtasdt0(xc,W0) != xy ),
    inference(fof_nnf,[status(thm)],[c18]) ).

fof(c20,negated_conjecture,
    ! [X2] :
      ( ~ aElement0(X2)
      | sdtasdt0(xc,X2) != xy ),
    inference(variable_rename,[status(thm)],[c19]) ).

cnf(c21,negated_conjecture,
    ( ~ aElement0(X197)
    | sdtasdt0(xc,X197) != xy ),
    inference(split_conjunct,[status(thm)],[c20]) ).

cnf(c570,plain,
    ~ aElement0(skolem0002),
    inference(resolution,[status(thm)],[c21,c30]) ).

cnf(c571,plain,
    $false,
    inference(resolution,[status(thm)],[c570,c29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed May  8 21:24:23 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.59/0.77  % Version:  1.5
% 0.59/0.77  % SZS status Theorem
% 0.59/0.77  % SZS output start CNFRefutation
% See solution above
% 0.59/0.77  
% 0.59/0.77  % Initial clauses    : 124
% 0.59/0.77  % Processed clauses  : 83
% 0.59/0.77  % Factors computed   : 5
% 0.59/0.77  % Resolvents computed: 335
% 0.59/0.77  % Tautologies deleted: 6
% 0.59/0.77  % Forward subsumed   : 14
% 0.59/0.77  % Backward subsumed  : 0
% 0.59/0.77  % -------- CPU Time ---------
% 0.59/0.77  % User time          : 0.405 s
% 0.59/0.77  % System time        : 0.012 s
% 0.59/0.77  % Total time         : 0.417 s
%------------------------------------------------------------------------------