%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 : n017.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 : Sat Jul 16 04:09:00 EDT 2022

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   33 (  12   ~;  10   |;   6   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   22 (   4 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X1,X4,X5,X2] :
      ( apart_point_and_line(X5,X2)
     => ( divides_points(X2,X1,X4)
       => ( divides_points(X2,X1,X5)
          | divides_points(X2,X4,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(apt_def,axiom,
    ! [X1,X2] :
      ( apart_point_and_line(X1,X2)
    <=> ( left_apart_point(X1,X2)
        | left_apart_point(X1,reverse_line(X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',apt_def) ).

fof(oag10,axiom,
    ! [X1,X2] :
      ~ ( left_apart_point(X1,X2)
        | left_apart_point(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag10) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X4,X5,X2] :
        ( apart_point_and_line(X5,X2)
       => ( divides_points(X2,X1,X4)
         => ( divides_points(X2,X1,X5)
            | divides_points(X2,X4,X5) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X7,X8] :
      ( ( ~ apart_point_and_line(X7,X8)
        | left_apart_point(X7,X8)
        | left_apart_point(X7,reverse_line(X8)) )
      & ( ~ left_apart_point(X7,X8)
        | apart_point_and_line(X7,X8) )
      & ( ~ left_apart_point(X7,reverse_line(X8))
        | apart_point_and_line(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[apt_def])])]) ).

fof(c_0_5,plain,
    ! [X40,X41] :
      ( ~ left_apart_point(X40,X41)
      & ~ left_apart_point(X40,reverse_line(X41)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[oag10])]) ).

fof(c_0_6,negated_conjecture,
    ( apart_point_and_line(esk3_0,esk4_0)
    & divides_points(esk4_0,esk1_0,esk2_0)
    & ~ divides_points(esk4_0,esk1_0,esk3_0)
    & ~ divides_points(esk4_0,esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_7,plain,
    ( left_apart_point(X1,X2)
    | left_apart_point(X1,reverse_line(X2))
    | ~ apart_point_and_line(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    apart_point_and_line(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ~ apart_point_and_line(X1,X2),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_7,c_0_8]),c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_9,c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO237+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 16:38:57 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.38  # No SInE strategy applied
% 0.19/0.38  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 0.19/0.38  # and selection function SelectNewComplexAHP.
% 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 Theorem
% 0.19/0.38  # SZS output start CNFRefutation
% See solution above
% 0.19/0.38  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------