%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : GEO220+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 08:58:58 EST 2010

% Result   : Theorem 0.19s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   51 (  28   ~;   7   |;  11   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   31 (   0 sgn  21   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2,X3] :
      ( ( ~ unorthogonal_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X3) )
     => ~ convergent_lines(X2,X3) ),
    file('/tmp/tmpyZ4DZv/sel_GEO220+2.p_1',couo1) ).

fof(6,conjecture,
    ! [X1,X2,X3] :
      ( ( ~ unorthogonal_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X3) )
     => ~ convergent_lines(X2,X3) ),
    file('/tmp/tmpyZ4DZv/sel_GEO220+2.p_1',con) ).

fof(7,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ unorthogonal_lines(X1,X2)
          & ~ unorthogonal_lines(X1,X3) )
       => ~ convergent_lines(X2,X3) ),
    inference(assume_negation,[status(cth)],[6]) ).

fof(8,plain,
    ! [X1,X2,X3] :
      ( ( ~ unorthogonal_lines(X1,X2)
        & ~ unorthogonal_lines(X1,X3) )
     => ~ convergent_lines(X2,X3) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(12,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( ~ unorthogonal_lines(X1,X2)
          & ~ unorthogonal_lines(X1,X3) )
       => ~ convergent_lines(X2,X3) ),
    inference(fof_simplification,[status(thm)],[7,theory(equality)]) ).

fof(13,plain,
    ! [X1,X2,X3] :
      ( unorthogonal_lines(X1,X2)
      | unorthogonal_lines(X1,X3)
      | ~ convergent_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(14,plain,
    ! [X4,X5,X6] :
      ( unorthogonal_lines(X4,X5)
      | unorthogonal_lines(X4,X6)
      | ~ convergent_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[13]) ).

cnf(15,plain,
    ( unorthogonal_lines(X3,X2)
    | unorthogonal_lines(X3,X1)
    | ~ convergent_lines(X1,X2) ),
    inference(split_conjunct,[status(thm)],[14]) ).

fof(31,negated_conjecture,
    ? [X1,X2,X3] :
      ( ~ unorthogonal_lines(X1,X2)
      & ~ unorthogonal_lines(X1,X3)
      & convergent_lines(X2,X3) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(32,negated_conjecture,
    ? [X4,X5,X6] :
      ( ~ unorthogonal_lines(X4,X5)
      & ~ unorthogonal_lines(X4,X6)
      & convergent_lines(X5,X6) ),
    inference(variable_rename,[status(thm)],[31]) ).

fof(33,negated_conjecture,
    ( ~ unorthogonal_lines(esk1_0,esk2_0)
    & ~ unorthogonal_lines(esk1_0,esk3_0)
    & convergent_lines(esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[32]) ).

cnf(34,negated_conjecture,
    convergent_lines(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(35,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(36,negated_conjecture,
    ~ unorthogonal_lines(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[33]) ).

cnf(39,negated_conjecture,
    ( unorthogonal_lines(X1,esk2_0)
    | unorthogonal_lines(X1,esk3_0) ),
    inference(spm,[status(thm)],[15,34,theory(equality)]) ).

cnf(49,negated_conjecture,
    unorthogonal_lines(esk1_0,esk3_0),
    inference(spm,[status(thm)],[36,39,theory(equality)]) ).

cnf(53,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[49,35,theory(equality)]) ).

cnf(54,negated_conjecture,
    $false,
    53,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/GEO/GEO220+2.p
% --creating new selector for [GEO008+0.ax, GEO006+4.ax]
% -running prover on /tmp/tmpyZ4DZv/sel_GEO220+2.p_1 with time limit 29
% -prover status Theorem
% Problem GEO220+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/GEO/GEO220+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/GEO/GEO220+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
% 
%------------------------------------------------------------------------------