%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO211+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art01.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 08:56:51 EST 2010

% Result   : Theorem 0.26s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (  13 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   9   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(5,axiom,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
      | unorthogonal_lines(X1,X2) ),
    file('/tmp/tmpz1PsKI/sel_GEO211+2.p_1',occu1) ).

fof(8,axiom,
    ! [X5] : ~ convergent_lines(X5,X5),
    file('/tmp/tmpz1PsKI/sel_GEO211+2.p_1',apart3) ).

fof(11,conjecture,
    ! [X1] : unorthogonal_lines(X1,X1),
    file('/tmp/tmpz1PsKI/sel_GEO211+2.p_1',con) ).

fof(12,negated_conjecture,
    ~ ! [X1] : unorthogonal_lines(X1,X1),
    inference(assume_negation,[status(cth)],[11]) ).

fof(14,plain,
    ! [X5] : ~ convergent_lines(X5,X5),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(31,plain,
    ! [X3,X4] :
      ( convergent_lines(X3,X4)
      | unorthogonal_lines(X3,X4) ),
    inference(variable_rename,[status(thm)],[5]) ).

cnf(32,plain,
    ( unorthogonal_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[31]) ).

fof(38,plain,
    ! [X6] : ~ convergent_lines(X6,X6),
    inference(variable_rename,[status(thm)],[14]) ).

cnf(39,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[38]) ).

fof(46,negated_conjecture,
    ? [X1] : ~ unorthogonal_lines(X1,X1),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(47,negated_conjecture,
    ? [X2] : ~ unorthogonal_lines(X2,X2),
    inference(variable_rename,[status(thm)],[46]) ).

fof(48,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[47]) ).

cnf(49,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[48]) ).

cnf(50,negated_conjecture,
    convergent_lines(esk1_0,esk1_0),
    inference(spm,[status(thm)],[49,32,theory(equality)]) ).

cnf(51,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[50,39,theory(equality)]) ).

cnf(52,negated_conjecture,
    $false,
    51,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO211+2.p
% --creating new selector for [GEO008+0.ax, GEO006+2.ax, GEO006+3.ax]
% -running prover on /tmp/tmpz1PsKI/sel_GEO211+2.p_1 with time limit 29
% -prover status Theorem
% Problem GEO211+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO211+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO211+2.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
% 
%------------------------------------------------------------------------------