%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO208+1 : TPTP v5.0.0. Released v3.3.0.
% 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 08:56:04 EST 2010

% Result   : Theorem 0.22s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   62 (  29   ~;  14   |;  15   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   29 (   0 sgn  18   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(7,axiom,
    ! [X1,X2,X3] :
      ( distinct_lines(X2,X3)
     => ( apart_point_and_line(X1,X2)
        | apart_point_and_line(X1,X3)
        | convergent_lines(X2,X3) ) ),
    file('/tmp/tmput-O48/sel_GEO208+1.p_1',cup1) ).

fof(12,conjecture,
    ! [X1,X2,X3] :
      ( ( ~ apart_point_and_line(X1,X2)
        & ~ apart_point_and_line(X1,X3)
        & ~ convergent_lines(X2,X3) )
     => ~ distinct_lines(X2,X3) ),
    file('/tmp/tmput-O48/sel_GEO208+1.p_1',con) ).

fof(13,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ apart_point_and_line(X1,X2)
          & ~ apart_point_and_line(X1,X3)
          & ~ convergent_lines(X2,X3) )
       => ~ distinct_lines(X2,X3) ),
    inference(assume_negation,[status(cth)],[12]) ).

fof(17,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ apart_point_and_line(X1,X2)
          & ~ apart_point_and_line(X1,X3)
          & ~ convergent_lines(X2,X3) )
       => ~ distinct_lines(X2,X3) ),
    inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).

fof(35,plain,
    ! [X1,X2,X3] :
      ( ~ distinct_lines(X2,X3)
      | apart_point_and_line(X1,X2)
      | apart_point_and_line(X1,X3)
      | convergent_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(36,plain,
    ! [X4,X5,X6] :
      ( ~ distinct_lines(X5,X6)
      | apart_point_and_line(X4,X5)
      | apart_point_and_line(X4,X6)
      | convergent_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[35]) ).

cnf(37,plain,
    ( convergent_lines(X1,X2)
    | apart_point_and_line(X3,X2)
    | apart_point_and_line(X3,X1)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[36]) ).

fof(48,negated_conjecture,
    ? [X1,X2,X3] :
      ( ~ apart_point_and_line(X1,X2)
      & ~ apart_point_and_line(X1,X3)
      & ~ convergent_lines(X2,X3)
      & distinct_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(49,negated_conjecture,
    ? [X4,X5,X6] :
      ( ~ apart_point_and_line(X4,X5)
      & ~ apart_point_and_line(X4,X6)
      & ~ convergent_lines(X5,X6)
      & distinct_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[48]) ).

fof(50,negated_conjecture,
    ( ~ apart_point_and_line(esk1_0,esk2_0)
    & ~ apart_point_and_line(esk1_0,esk3_0)
    & ~ convergent_lines(esk2_0,esk3_0)
    & distinct_lines(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[49]) ).

cnf(51,negated_conjecture,
    distinct_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(52,negated_conjecture,
    ~ convergent_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(53,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(54,negated_conjecture,
    ~ apart_point_and_line(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[50]) ).

cnf(56,negated_conjecture,
    ( apart_point_and_line(X1,esk2_0)
    | apart_point_and_line(X1,esk3_0)
    | convergent_lines(esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[37,51,theory(equality)]) ).

cnf(57,negated_conjecture,
    ( apart_point_and_line(X1,esk2_0)
    | apart_point_and_line(X1,esk3_0) ),
    inference(sr,[status(thm)],[56,52,theory(equality)]) ).

cnf(66,negated_conjecture,
    apart_point_and_line(esk1_0,esk3_0),
    inference(spm,[status(thm)],[54,57,theory(equality)]) ).

cnf(69,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[66,53,theory(equality)]) ).

cnf(70,negated_conjecture,
    $false,
    69,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO208+1.p
% --creating new selector for [GEO006+0.ax, GEO006+2.ax]
% -running prover on /tmp/tmput-O48/sel_GEO208+1.p_1 with time limit 29
% -prover status Theorem
% Problem GEO208+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO208+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO208+1.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
% 
%------------------------------------------------------------------------------