%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO206+3 : TPTP v5.0.0. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art09.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 08:55:42 EST 2010

% Result   : Theorem 0.23s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  12 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   71 (  30   ~;  21   |;  12   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   61 (   1 sgn  43   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( equal_lines(X1,X2)
    <=> ~ distinct_lines(X1,X2) ),
    file('/tmp/tmpOyjmqC/sel_GEO206+3.p_1',ax2) ).

fof(2,axiom,
    ! [X1,X2] :
      ( distinct_lines(X1,X2)
     => convergent_lines(X1,X2) ),
    file('/tmp/tmpOyjmqC/sel_GEO206+3.p_1',p1) ).

fof(3,axiom,
    ! [X1,X2,X3] :
      ( convergent_lines(X1,X2)
     => ( convergent_lines(X1,X3)
        | convergent_lines(X2,X3) ) ),
    file('/tmp/tmpOyjmqC/sel_GEO206+3.p_1',ax6) ).

fof(7,axiom,
    ! [X1,X2] :
      ( parallel_lines(X1,X2)
    <=> ~ convergent_lines(X1,X2) ),
    file('/tmp/tmpOyjmqC/sel_GEO206+3.p_1',a3) ).

fof(11,axiom,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    file('/tmp/tmpOyjmqC/sel_GEO206+3.p_1',cp1) ).

fof(15,conjecture,
    ! [X1,X2,X3] :
      ( ( incident_point_and_line(X1,X2)
        & parallel_lines(X2,X3) )
     => equal_lines(X2,parallel_through_point(X3,X1)) ),
    file('/tmp/tmpOyjmqC/sel_GEO206+3.p_1',con) ).

fof(16,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( incident_point_and_line(X1,X2)
          & parallel_lines(X2,X3) )
       => equal_lines(X2,parallel_through_point(X3,X1)) ),
    inference(assume_negation,[status(cth)],[15]) ).

fof(17,plain,
    ! [X1,X2] :
      ( equal_lines(X1,X2)
    <=> ~ distinct_lines(X1,X2) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(18,plain,
    ! [X1,X2] :
      ( parallel_lines(X1,X2)
    <=> ~ convergent_lines(X1,X2) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(20,plain,
    ! [X1,X2] : ~ convergent_lines(parallel_through_point(X2,X1),X2),
    inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).

fof(24,plain,
    ! [X1,X2] :
      ( ( ~ equal_lines(X1,X2)
        | ~ distinct_lines(X1,X2) )
      & ( distinct_lines(X1,X2)
        | equal_lines(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(25,plain,
    ! [X3,X4] :
      ( ( ~ equal_lines(X3,X4)
        | ~ distinct_lines(X3,X4) )
      & ( distinct_lines(X3,X4)
        | equal_lines(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[24]) ).

cnf(26,plain,
    ( equal_lines(X1,X2)
    | distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[25]) ).

fof(28,plain,
    ! [X1,X2] :
      ( ~ distinct_lines(X1,X2)
      | convergent_lines(X1,X2) ),
    inference(fof_nnf,[status(thm)],[2]) ).

fof(29,plain,
    ! [X3,X4] :
      ( ~ distinct_lines(X3,X4)
      | convergent_lines(X3,X4) ),
    inference(variable_rename,[status(thm)],[28]) ).

cnf(30,plain,
    ( convergent_lines(X1,X2)
    | ~ distinct_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[29]) ).

fof(31,plain,
    ! [X1,X2,X3] :
      ( ~ convergent_lines(X1,X2)
      | convergent_lines(X1,X3)
      | convergent_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(32,plain,
    ! [X4,X5,X6] :
      ( ~ convergent_lines(X4,X5)
      | convergent_lines(X4,X6)
      | convergent_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[31]) ).

cnf(33,plain,
    ( convergent_lines(X1,X2)
    | convergent_lines(X3,X2)
    | ~ convergent_lines(X3,X1) ),
    inference(split_conjunct,[status(thm)],[32]) ).

fof(43,plain,
    ! [X1,X2] :
      ( ( ~ parallel_lines(X1,X2)
        | ~ convergent_lines(X1,X2) )
      & ( convergent_lines(X1,X2)
        | parallel_lines(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(44,plain,
    ! [X3,X4] :
      ( ( ~ parallel_lines(X3,X4)
        | ~ convergent_lines(X3,X4) )
      & ( convergent_lines(X3,X4)
        | parallel_lines(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[43]) ).

cnf(46,plain,
    ( ~ convergent_lines(X1,X2)
    | ~ parallel_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(57,plain,
    ! [X3,X4] : ~ convergent_lines(parallel_through_point(X4,X3),X4),
    inference(variable_rename,[status(thm)],[20]) ).

cnf(58,plain,
    ~ convergent_lines(parallel_through_point(X1,X2),X1),
    inference(split_conjunct,[status(thm)],[57]) ).

fof(65,negated_conjecture,
    ? [X1,X2,X3] :
      ( incident_point_and_line(X1,X2)
      & parallel_lines(X2,X3)
      & ~ equal_lines(X2,parallel_through_point(X3,X1)) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(66,negated_conjecture,
    ? [X4,X5,X6] :
      ( incident_point_and_line(X4,X5)
      & parallel_lines(X5,X6)
      & ~ equal_lines(X5,parallel_through_point(X6,X4)) ),
    inference(variable_rename,[status(thm)],[65]) ).

fof(67,negated_conjecture,
    ( incident_point_and_line(esk1_0,esk2_0)
    & parallel_lines(esk2_0,esk3_0)
    & ~ equal_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)) ),
    inference(skolemize,[status(esa)],[66]) ).

cnf(68,negated_conjecture,
    ~ equal_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(split_conjunct,[status(thm)],[67]) ).

cnf(69,negated_conjecture,
    parallel_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[67]) ).

cnf(71,negated_conjecture,
    distinct_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(spm,[status(thm)],[68,26,theory(equality)]) ).

cnf(73,negated_conjecture,
    ~ convergent_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[46,69,theory(equality)]) ).

cnf(79,negated_conjecture,
    convergent_lines(esk2_0,parallel_through_point(esk3_0,esk1_0)),
    inference(spm,[status(thm)],[30,71,theory(equality)]) ).

cnf(82,negated_conjecture,
    ( convergent_lines(parallel_through_point(esk3_0,esk1_0),X1)
    | convergent_lines(esk2_0,X1) ),
    inference(spm,[status(thm)],[33,79,theory(equality)]) ).

cnf(92,negated_conjecture,
    convergent_lines(esk2_0,esk3_0),
    inference(spm,[status(thm)],[58,82,theory(equality)]) ).

cnf(96,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[92,73,theory(equality)]) ).

cnf(97,negated_conjecture,
    $false,
    96,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO206+3.p
% --creating new selector for [GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+4.ax, GEO006+5.ax, GEO006+6.ax]
% -running prover on /tmp/tmpOyjmqC/sel_GEO206+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO206+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO206+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO206+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
% 
%------------------------------------------------------------------------------