%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO216+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 09:02:26 EST 2010

% Result   : Theorem 0.21s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  14 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  20   ~;   3   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   19 (   0 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X4] : ~ convergent_lines(X4,X4),
    file('/tmp/tmpUrbDYs/sel_GEO216+2.p_1',apart3) ).

fof(5,axiom,
    ! [X1,X2] :
      ~ ( ~ convergent_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X2) ),
    file('/tmp/tmpUrbDYs/sel_GEO216+2.p_1',coipo1) ).

fof(6,conjecture,
    ! [X1] :
      ~ ~ unorthogonal_lines(X1,X1),
    file('/tmp/tmpUrbDYs/sel_GEO216+2.p_1',con) ).

fof(7,negated_conjecture,
    ~ ! [X1] :
        ~ ~ unorthogonal_lines(X1,X1),
    inference(assume_negation,[status(cth)],[6]) ).

fof(9,plain,
    ! [X4] : ~ convergent_lines(X4,X4),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(11,plain,
    ! [X1,X2] :
      ~ ( ~ convergent_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X2) ),
    inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).

fof(12,negated_conjecture,
    ~ ! [X1] : unorthogonal_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(16,plain,
    ! [X5] : ~ convergent_lines(X5,X5),
    inference(variable_rename,[status(thm)],[9]) ).

cnf(17,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[16]) ).

fof(28,plain,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
      | unorthogonal_lines(X1,X2) ),
    inference(fof_nnf,[status(thm)],[11]) ).

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

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

fof(31,negated_conjecture,
    ? [X1] : ~ unorthogonal_lines(X1,X1),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(32,negated_conjecture,
    ? [X2] : ~ unorthogonal_lines(X2,X2),
    inference(variable_rename,[status(thm)],[31]) ).

fof(33,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[32]) ).

cnf(34,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(35,negated_conjecture,
    convergent_lines(esk1_0,esk1_0),
    inference(spm,[status(thm)],[34,30,theory(equality)]) ).

cnf(36,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[35,17,theory(equality)]) ).

cnf(37,negated_conjecture,
    $false,
    36,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO216+2.p
% --creating new selector for [GEO008+0.ax, GEO006+4.ax]
% -running prover on /tmp/tmpUrbDYs/sel_GEO216+2.p_1 with time limit 29
% -prover status Theorem
% Problem GEO216+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO216+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO216+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
% 
%------------------------------------------------------------------------------