%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GEO251+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 : n013.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 04:09:07 EDT 2022

% Result   : Theorem 0.15s 0.40s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  10   ~;   4   |;   3   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   4 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(con,conjecture,
    ! [X3,X6,X4] :
      ( right_apart_point(X6,parallel_through_point(X4,X3))
     => left_apart_point(X3,parallel_through_point(X4,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

fof(a2_defns,axiom,
    ! [X1,X2] :
      ( right_apart_point(X1,X2)
    <=> left_apart_point(X1,reverse_line(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a2_defns) ).

fof(ax10_basics,axiom,
    ! [X3,X4] :
      ~ ( left_apart_point(X3,X4)
        | left_apart_point(X3,reverse_line(X4)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X3,X6,X4] :
        ( right_apart_point(X6,parallel_through_point(X4,X3))
       => left_apart_point(X3,parallel_through_point(X4,X6)) ),
    inference(assume_negation,[status(cth)],[con]) ).

fof(c_0_4,plain,
    ! [X11,X12] :
      ( ( ~ right_apart_point(X11,X12)
        | left_apart_point(X11,reverse_line(X12)) )
      & ( ~ left_apart_point(X11,reverse_line(X12))
        | right_apart_point(X11,X12) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_defns])]) ).

fof(c_0_5,plain,
    ! [X52,X53] :
      ( ~ left_apart_point(X52,X53)
      & ~ left_apart_point(X52,reverse_line(X53)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10_basics])]) ).

fof(c_0_6,negated_conjecture,
    ( right_apart_point(esk2_0,parallel_through_point(esk3_0,esk1_0))
    & ~ left_apart_point(esk1_0,parallel_through_point(esk3_0,esk2_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,reverse_line(X2))
    | ~ right_apart_point(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,
    right_apart_point(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GEO251+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.15  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun 18 12:50:14 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.15/0.40  # No SInE strategy applied
% 0.15/0.40  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.40  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.15/0.40  #
% 0.15/0.40  # Presaturation interreduction done
% 0.15/0.40  
% 0.15/0.40  # Proof found!
% 0.15/0.40  # SZS status Theorem
% 0.15/0.40  # SZS output start CNFRefutation
% See solution above
% 0.15/0.40  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------