%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO241+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 09:07:35 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       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   28 (  10   ~;   1   |;  15   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   2 sgn  12   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1,X4] :
      ~ ( left_convergent_lines(X1,X4)
        | left_convergent_lines(X1,reverse_line(X4)) ),
    file('/tmp/tmpb1MTI2/sel_GEO241+3.p_1',ax11_basics) ).

fof(16,conjecture,
    ! [X2,X3,X1] :
      ( ( incident_point_and_line(X2,X1)
        & distinct_points(X2,X3)
        & left_convergent_lines(X1,line_connecting(X2,X3)) )
     => left_apart_point(X3,X1) ),
    file('/tmp/tmpb1MTI2/sel_GEO241+3.p_1',con) ).

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

fof(42,plain,
    ! [X1,X4] :
      ( ~ left_convergent_lines(X1,X4)
      & ~ left_convergent_lines(X1,reverse_line(X4)) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(43,plain,
    ! [X5,X6] :
      ( ~ left_convergent_lines(X5,X6)
      & ~ left_convergent_lines(X5,reverse_line(X6)) ),
    inference(variable_rename,[status(thm)],[42]) ).

cnf(45,plain,
    ~ left_convergent_lines(X1,X2),
    inference(split_conjunct,[status(thm)],[43]) ).

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

fof(75,negated_conjecture,
    ? [X4,X5,X6] :
      ( incident_point_and_line(X4,X6)
      & distinct_points(X4,X5)
      & left_convergent_lines(X6,line_connecting(X4,X5))
      & ~ left_apart_point(X5,X6) ),
    inference(variable_rename,[status(thm)],[74]) ).

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

cnf(78,negated_conjecture,
    left_convergent_lines(esk3_0,line_connecting(esk1_0,esk2_0)),
    inference(split_conjunct,[status(thm)],[76]) ).

cnf(84,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[78,45,theory(equality)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO241+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpb1MTI2/sel_GEO241+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO241+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO241+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO241+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
% 
%------------------------------------------------------------------------------