%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO244+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 09:08:10 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   37 (  16   ~;   6   |;  10   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (   4 sgn  18   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X4,X5] :
      ( right_apart_point(X4,X5)
    <=> left_apart_point(X4,reverse_line(X5)) ),
    file('/tmp/tmpWD54Kr/sel_GEO244+3.p_1',a2_defns) ).

fof(8,axiom,
    ! [X1,X2] :
      ~ ( left_apart_point(X1,X2)
        | left_apart_point(X1,reverse_line(X2)) ),
    file('/tmp/tmpWD54Kr/sel_GEO244+3.p_1',ax10_basics) ).

fof(18,conjecture,
    ! [X1,X6,X7] :
      ( distinct_points(X1,X6)
     => ( right_apart_point(X7,line_connecting(X1,X6))
       => left_apart_point(X7,line_connecting(X6,X1)) ) ),
    file('/tmp/tmpWD54Kr/sel_GEO244+3.p_1',con) ).

fof(19,negated_conjecture,
    ~ ! [X1,X6,X7] :
        ( distinct_points(X1,X6)
       => ( right_apart_point(X7,line_connecting(X1,X6))
         => left_apart_point(X7,line_connecting(X6,X1)) ) ),
    inference(assume_negation,[status(cth)],[18]) ).

fof(31,plain,
    ! [X4,X5] :
      ( ( ~ right_apart_point(X4,X5)
        | left_apart_point(X4,reverse_line(X5)) )
      & ( ~ left_apart_point(X4,reverse_line(X5))
        | right_apart_point(X4,X5) ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(32,plain,
    ! [X6,X7] :
      ( ( ~ right_apart_point(X6,X7)
        | left_apart_point(X6,reverse_line(X7)) )
      & ( ~ left_apart_point(X6,reverse_line(X7))
        | right_apart_point(X6,X7) ) ),
    inference(variable_rename,[status(thm)],[31]) ).

cnf(34,plain,
    ( left_apart_point(X1,reverse_line(X2))
    | ~ right_apart_point(X1,X2) ),
    inference(split_conjunct,[status(thm)],[32]) ).

fof(50,plain,
    ! [X1,X2] :
      ( ~ left_apart_point(X1,X2)
      & ~ left_apart_point(X1,reverse_line(X2)) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(51,plain,
    ! [X3,X4] :
      ( ~ left_apart_point(X3,X4)
      & ~ left_apart_point(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[50]) ).

cnf(53,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[51]) ).

fof(84,negated_conjecture,
    ? [X1,X6,X7] :
      ( distinct_points(X1,X6)
      & right_apart_point(X7,line_connecting(X1,X6))
      & ~ left_apart_point(X7,line_connecting(X6,X1)) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(85,negated_conjecture,
    ? [X8,X9,X10] :
      ( distinct_points(X8,X9)
      & right_apart_point(X10,line_connecting(X8,X9))
      & ~ left_apart_point(X10,line_connecting(X9,X8)) ),
    inference(variable_rename,[status(thm)],[84]) ).

fof(86,negated_conjecture,
    ( distinct_points(esk1_0,esk2_0)
    & right_apart_point(esk3_0,line_connecting(esk1_0,esk2_0))
    & ~ left_apart_point(esk3_0,line_connecting(esk2_0,esk1_0)) ),
    inference(skolemize,[status(esa)],[85]) ).

cnf(88,negated_conjecture,
    right_apart_point(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[86]) ).

cnf(91,plain,
    ~ right_apart_point(X1,X2),
    inference(sr,[status(thm)],[34,53,theory(equality)]) ).

cnf(92,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[88,91,theory(equality)]) ).

cnf(93,negated_conjecture,
    $false,
    92,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO244+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpWD54Kr/sel_GEO244+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO244+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO244+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO244+3.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------