%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n027.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 : Mon Jul 18 09:41:54 EDT 2022

% Result   : Unknown 0.19s 0.38s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   41 (  12 equ)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives :   41 (  10   ~;  15   |;  16   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2449,hypothesis,
    ( ( ? [X1] :
          ( aNaturalNumber0(X1)
          & xn = sdtasdt0(xr,X1) )
      & doDivides0(xr,xn) )
    | ( ? [X1] :
          ( aNaturalNumber0(X1)
          & xm = sdtasdt0(xr,X1) )
      & doDivides0(xr,xm) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2449) ).

fof(m__2487,hypothesis,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & xn = sdtasdt0(xr,X1) )
      | doDivides0(xr,xn) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).

fof(m__2698,hypothesis,
    ~ ( ? [X1] :
          ( aNaturalNumber0(X1)
          & xm = sdtasdt0(xr,X1) )
      | doDivides0(xr,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2698) ).

fof(c_0_3,hypothesis,
    ( ( aNaturalNumber0(esk17_0)
      | aNaturalNumber0(esk16_0) )
    & ( xm = sdtasdt0(xr,esk17_0)
      | aNaturalNumber0(esk16_0) )
    & ( doDivides0(xr,xm)
      | aNaturalNumber0(esk16_0) )
    & ( aNaturalNumber0(esk17_0)
      | xn = sdtasdt0(xr,esk16_0) )
    & ( xm = sdtasdt0(xr,esk17_0)
      | xn = sdtasdt0(xr,esk16_0) )
    & ( doDivides0(xr,xm)
      | xn = sdtasdt0(xr,esk16_0) )
    & ( aNaturalNumber0(esk17_0)
      | doDivides0(xr,xn) )
    & ( xm = sdtasdt0(xr,esk17_0)
      | doDivides0(xr,xn) )
    & ( doDivides0(xr,xm)
      | doDivides0(xr,xn) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2449])])]) ).

fof(c_0_4,hypothesis,
    ! [X111] :
      ( ( ~ aNaturalNumber0(X111)
        | xn != sdtasdt0(xr,X111) )
      & ~ doDivides0(xr,xn) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2487])])]) ).

fof(c_0_5,hypothesis,
    ! [X112] :
      ( ( ~ aNaturalNumber0(X112)
        | xm != sdtasdt0(xr,X112) )
      & ~ doDivides0(xr,xm) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2698])])]) ).

cnf(c_0_6,hypothesis,
    ( doDivides0(xr,xm)
    | doDivides0(xr,xn) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,hypothesis,
    ~ doDivides0(xr,xn),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    ~ doDivides0(xr,xm),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM519+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n027.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 : Wed Jul  6 08:31:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.38  # No SInE strategy applied
% 0.19/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.19/0.38  # and selection function SelectUnlessUniqMax.
% 0.19/0.38  #
% 0.19/0.38  # Presaturation interreduction done
% 0.19/0.38  
% 0.19/0.38  # Proof found!
% 0.19/0.38  # SZS status ContradictoryAxioms
% 0.19/0.38  # SZS output start CNFRefutation
% See solution above
% 0.19/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------