%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM429+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 17:35:46 EDT 2024

% Result   : Theorem 0.36s 0.53s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   38 (  12 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   34 (   8   ~;   3   |;  23   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn   2   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__853,plain,
    ( ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) )
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) )
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__853) ).

fof(c10,plain,
    ( ? [X3] :
        ( aInteger0(X3)
        & sdtasdt0(xq,X3) = sdtpldt0(xa,smndt0(xb)) )
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & ? [X4] :
        ( aInteger0(X4)
        & sdtasdt0(xq,X4) = sdtpldt0(xb,smndt0(xc)) )
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    inference(variable_rename,[status(thm)],[m__853]) ).

fof(c11,plain,
    ( aInteger0(skolem0001)
    & sdtasdt0(xq,skolem0001) = sdtpldt0(xa,smndt0(xb))
    & aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
    & sdteqdtlpzmzozddtrp0(xa,xb,xq)
    & aInteger0(skolem0002)
    & sdtasdt0(xq,skolem0002) = sdtpldt0(xb,smndt0(xc))
    & aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))
    & sdteqdtlpzmzozddtrp0(xb,xc,xq) ),
    inference(skolemize,[status(esa)],[c10]) ).

cnf(c12,plain,
    aInteger0(skolem0001),
    inference(split_conjunct,[status(thm)],[c11]) ).

fof(m__,conjecture,
    ? [W0] :
      ( aInteger0(W0)
      & sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(c6,negated_conjecture,
    ~ ? [W0] :
        ( aInteger0(W0)
        & sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c7,negated_conjecture,
    ! [W0] :
      ( ~ aInteger0(W0)
      | sdtasdt0(xq,W0) != sdtpldt0(xa,smndt0(xb)) ),
    inference(fof_nnf,[status(thm)],[c6]) ).

fof(c8,negated_conjecture,
    ! [X2] :
      ( ~ aInteger0(X2)
      | sdtasdt0(xq,X2) != sdtpldt0(xa,smndt0(xb)) ),
    inference(variable_rename,[status(thm)],[c7]) ).

cnf(c9,negated_conjecture,
    ( ~ aInteger0(X81)
    | sdtasdt0(xq,X81) != sdtpldt0(xa,smndt0(xb)) ),
    inference(split_conjunct,[status(thm)],[c8]) ).

cnf(c13,plain,
    sdtasdt0(xq,skolem0001) = sdtpldt0(xa,smndt0(xb)),
    inference(split_conjunct,[status(thm)],[c11]) ).

cnf(c212,plain,
    ~ aInteger0(skolem0001),
    inference(resolution,[status(thm)],[c13,c9]) ).

cnf(c217,plain,
    $false,
    inference(resolution,[status(thm)],[c212,c12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUM429+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed May  8 15:49:52 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.36/0.53  % Version:  1.5
% 0.36/0.53  % SZS status Theorem
% 0.36/0.53  % SZS output start CNFRefutation
% See solution above
% 0.36/0.53  
% 0.36/0.53  % Initial clauses    : 55
% 0.36/0.53  % Processed clauses  : 56
% 0.36/0.53  % Factors computed   : 3
% 0.36/0.53  % Resolvents computed: 110
% 0.36/0.53  % Tautologies deleted: 3
% 0.36/0.53  % Forward subsumed   : 2
% 0.36/0.53  % Backward subsumed  : 0
% 0.36/0.53  % -------- CPU Time ---------
% 0.36/0.53  % User time          : 0.207 s
% 0.36/0.53  % System time        : 0.014 s
% 0.36/0.53  % Total time         : 0.222 s
%------------------------------------------------------------------------------