%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO216+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art05.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 08:58:11 EST 2010

% Result   : Theorem 0.29s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (  15 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  24   ~;   8   |;   4   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   29 (   0 sgn  22   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(8,axiom,
    ! [X1,X2] :
      ~ ( ~ convergent_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X2) ),
    file('/tmp/tmpbS93pi/sel_GEO216+3.p_1',coipo1) ).

fof(9,axiom,
    ! [X5,X6] :
      ( orthogonal_lines(X5,X6)
    <=> ~ unorthogonal_lines(X5,X6) ),
    file('/tmp/tmpbS93pi/sel_GEO216+3.p_1',a5) ).

fof(13,axiom,
    ! [X5] : ~ convergent_lines(X5,X5),
    file('/tmp/tmpbS93pi/sel_GEO216+3.p_1',apart3) ).

fof(16,conjecture,
    ! [X1] : ~ orthogonal_lines(X1,X1),
    file('/tmp/tmpbS93pi/sel_GEO216+3.p_1',con) ).

fof(17,negated_conjecture,
    ~ ! [X1] : ~ orthogonal_lines(X1,X1),
    inference(assume_negation,[status(cth)],[16]) ).

fof(19,plain,
    ! [X1,X2] :
      ~ ( ~ convergent_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X2) ),
    inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).

fof(20,plain,
    ! [X5,X6] :
      ( orthogonal_lines(X5,X6)
    <=> ~ unorthogonal_lines(X5,X6) ),
    inference(fof_simplification,[status(thm)],[9,theory(equality)]) ).

fof(23,plain,
    ! [X5] : ~ convergent_lines(X5,X5),
    inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).

fof(24,negated_conjecture,
    ~ ! [X1] : ~ orthogonal_lines(X1,X1),
    inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).

fof(54,plain,
    ! [X1,X2] :
      ( convergent_lines(X1,X2)
      | unorthogonal_lines(X1,X2) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(55,plain,
    ! [X3,X4] :
      ( convergent_lines(X3,X4)
      | unorthogonal_lines(X3,X4) ),
    inference(variable_rename,[status(thm)],[54]) ).

cnf(56,plain,
    ( unorthogonal_lines(X1,X2)
    | convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[55]) ).

fof(57,plain,
    ! [X5,X6] :
      ( ( ~ orthogonal_lines(X5,X6)
        | ~ unorthogonal_lines(X5,X6) )
      & ( unorthogonal_lines(X5,X6)
        | orthogonal_lines(X5,X6) ) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(58,plain,
    ! [X7,X8] :
      ( ( ~ orthogonal_lines(X7,X8)
        | ~ unorthogonal_lines(X7,X8) )
      & ( unorthogonal_lines(X7,X8)
        | orthogonal_lines(X7,X8) ) ),
    inference(variable_rename,[status(thm)],[57]) ).

cnf(60,plain,
    ( ~ unorthogonal_lines(X1,X2)
    | ~ orthogonal_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[58]) ).

fof(69,plain,
    ! [X6] : ~ convergent_lines(X6,X6),
    inference(variable_rename,[status(thm)],[23]) ).

cnf(70,plain,
    ~ convergent_lines(X1,X1),
    inference(split_conjunct,[status(thm)],[69]) ).

fof(76,negated_conjecture,
    ? [X1] : orthogonal_lines(X1,X1),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(77,negated_conjecture,
    ? [X2] : orthogonal_lines(X2,X2),
    inference(variable_rename,[status(thm)],[76]) ).

fof(78,negated_conjecture,
    orthogonal_lines(esk1_0,esk1_0),
    inference(skolemize,[status(esa)],[77]) ).

cnf(79,negated_conjecture,
    orthogonal_lines(esk1_0,esk1_0),
    inference(split_conjunct,[status(thm)],[78]) ).

cnf(80,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk1_0),
    inference(spm,[status(thm)],[60,79,theory(equality)]) ).

cnf(92,negated_conjecture,
    convergent_lines(esk1_0,esk1_0),
    inference(spm,[status(thm)],[80,56,theory(equality)]) ).

cnf(93,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[92,70,theory(equality)]) ).

cnf(94,negated_conjecture,
    $false,
    93,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO216+3.p
% --creating new selector for [GEO006+4.ax, GEO006+3.ax, GEO006+0.ax, GEO006+1.ax, GEO006+2.ax, GEO006+6.ax, GEO006+5.ax]
% -running prover on /tmp/tmpbS93pi/sel_GEO216+3.p_1 with time limit 29
% -prover status Theorem
% Problem GEO216+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO216+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO216+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
% 
%------------------------------------------------------------------------------