%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO247+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 09:08:45 EST 2010

% Result   : Theorem 0.17s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   53 (  10   ~;   1   |;  40   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   32 (   2 sgn  18   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(8,axiom,
    ! [X1,X2] :
      ~ ( left_apart_point(X1,X2)
        | left_apart_point(X1,reverse_line(X2)) ),
    file('/tmp/tmpoP9kNh/sel_GEO247+3.p_1',ax10_basics) ).

fof(20,conjecture,
    ! [X1,X6,X7,X9,X2,X3] :
      ( ( left_apart_point(X1,X2)
        & left_apart_point(X1,X3)
        & right_apart_point(X6,X2)
        & right_apart_point(X6,X3)
        & left_apart_point(X7,X2)
        & right_apart_point(X7,X3)
        & right_apart_point(X9,X2)
        & left_apart_point(X9,X3) )
     => convergent_lines(X2,X3) ),
    file('/tmp/tmpoP9kNh/sel_GEO247+3.p_1',con) ).

fof(21,negated_conjecture,
    ~ ! [X1,X6,X7,X9,X2,X3] :
        ( ( left_apart_point(X1,X2)
          & left_apart_point(X1,X3)
          & right_apart_point(X6,X2)
          & right_apart_point(X6,X3)
          & left_apart_point(X7,X2)
          & right_apart_point(X7,X3)
          & right_apart_point(X9,X2)
          & left_apart_point(X9,X3) )
       => convergent_lines(X2,X3) ),
    inference(assume_negation,[status(cth)],[20]) ).

fof(52,plain,
    ! [X1,X2] :
      ( ~ left_apart_point(X1,X2)
      & ~ left_apart_point(X1,reverse_line(X2)) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(53,plain,
    ! [X3,X4] :
      ( ~ left_apart_point(X3,X4)
      & ~ left_apart_point(X3,reverse_line(X4)) ),
    inference(variable_rename,[status(thm)],[52]) ).

cnf(55,plain,
    ~ left_apart_point(X1,X2),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(96,negated_conjecture,
    ? [X1,X6,X7,X9,X2,X3] :
      ( left_apart_point(X1,X2)
      & left_apart_point(X1,X3)
      & right_apart_point(X6,X2)
      & right_apart_point(X6,X3)
      & left_apart_point(X7,X2)
      & right_apart_point(X7,X3)
      & right_apart_point(X9,X2)
      & left_apart_point(X9,X3)
      & ~ convergent_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(97,negated_conjecture,
    ? [X10,X11,X12,X13,X14,X15] :
      ( left_apart_point(X10,X14)
      & left_apart_point(X10,X15)
      & right_apart_point(X11,X14)
      & right_apart_point(X11,X15)
      & left_apart_point(X12,X14)
      & right_apart_point(X12,X15)
      & right_apart_point(X13,X14)
      & left_apart_point(X13,X15)
      & ~ convergent_lines(X14,X15) ),
    inference(variable_rename,[status(thm)],[96]) ).

fof(98,negated_conjecture,
    ( left_apart_point(esk1_0,esk5_0)
    & left_apart_point(esk1_0,esk6_0)
    & right_apart_point(esk2_0,esk5_0)
    & right_apart_point(esk2_0,esk6_0)
    & left_apart_point(esk3_0,esk5_0)
    & right_apart_point(esk3_0,esk6_0)
    & right_apart_point(esk4_0,esk5_0)
    & left_apart_point(esk4_0,esk6_0)
    & ~ convergent_lines(esk5_0,esk6_0) ),
    inference(skolemize,[status(esa)],[97]) ).

cnf(107,negated_conjecture,
    left_apart_point(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[98]) ).

cnf(108,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[107,55,theory(equality)]) ).

cnf(109,negated_conjecture,
    $false,
    108,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO247+3.p
% --creating new selector for [GEO009+0.ax]
% -running prover on /tmp/tmpoP9kNh/sel_GEO247+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO247+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO247+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO247+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
% 
%------------------------------------------------------------------------------