%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO257+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 09:10:30 EST 2010

% Result   : Theorem 0.16s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   43 (  10   ~;   1   |;  28   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   28 (   2 sgn  16   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(8,axiom,
    ! [X2,X1] :
      ~ ( left_apart_point(X2,X1)
        | left_apart_point(X2,reverse_line(X1)) ),
    file('/tmp/tmpych_yH/sel_GEO257+3.p_1',ax10_basics) ).

fof(16,conjecture,
    ! [X1,X2,X3,X5,X9] :
      ( ( distinct_points(X2,X5)
        & distinct_points(X3,X5)
        & incident_point_and_line(X5,X1)
        & left_apart_point(X9,X1) )
     => ( ( before_on_line(X1,X2,X3)
          & before_on_line(X1,X3,X5) )
       => before_on_line(X1,X2,X5) ) ),
    file('/tmp/tmpych_yH/sel_GEO257+3.p_1',con) ).

fof(17,negated_conjecture,
    ~ ! [X1,X2,X3,X5,X9] :
        ( ( distinct_points(X2,X5)
          & distinct_points(X3,X5)
          & incident_point_and_line(X5,X1)
          & left_apart_point(X9,X1) )
       => ( ( before_on_line(X1,X2,X3)
            & before_on_line(X1,X3,X5) )
         => before_on_line(X1,X2,X5) ) ),
    inference(assume_negation,[status(cth)],[16]) ).

fof(46,plain,
    ! [X2,X1] :
      ( ~ left_apart_point(X2,X1)
      & ~ left_apart_point(X2,reverse_line(X1)) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(47,plain,
    ! [X3,X4] :
      ( ~ left_apart_point(X3,X4)
      & ~ left_apart_point(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[46]) ).

cnf(49,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[47]) ).

fof(74,negated_conjecture,
    ? [X1,X2,X3,X5,X9] :
      ( distinct_points(X2,X5)
      & distinct_points(X3,X5)
      & incident_point_and_line(X5,X1)
      & left_apart_point(X9,X1)
      & before_on_line(X1,X2,X3)
      & before_on_line(X1,X3,X5)
      & ~ before_on_line(X1,X2,X5) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(75,negated_conjecture,
    ? [X10,X11,X12,X13,X14] :
      ( distinct_points(X11,X13)
      & distinct_points(X12,X13)
      & incident_point_and_line(X13,X10)
      & left_apart_point(X14,X10)
      & before_on_line(X10,X11,X12)
      & before_on_line(X10,X12,X13)
      & ~ before_on_line(X10,X11,X13) ),
    inference(variable_rename,[status(thm)],[74]) ).

fof(76,negated_conjecture,
    ( distinct_points(esk2_0,esk4_0)
    & distinct_points(esk3_0,esk4_0)
    & incident_point_and_line(esk4_0,esk1_0)
    & left_apart_point(esk5_0,esk1_0)
    & before_on_line(esk1_0,esk2_0,esk3_0)
    & before_on_line(esk1_0,esk3_0,esk4_0)
    & ~ before_on_line(esk1_0,esk2_0,esk4_0) ),
    inference(skolemize,[status(esa)],[75]) ).

cnf(80,negated_conjecture,
    left_apart_point(esk5_0,esk1_0),
    inference(split_conjunct,[status(thm)],[76]) ).

cnf(84,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[80,49,theory(equality)]) ).

cnf(85,negated_conjecture,
    $false,
    84,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO257+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpych_yH/sel_GEO257+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO257+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO257+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO257+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
% 
%------------------------------------------------------------------------------