%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO211+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 12:02:17 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   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   :    7 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(occu1,plain,
    ! [A,B] :
      ( convergent_lines(A,B)
      | not_orthogonal_through_point(A,B) ),
    file('/tmp/SystemOnTPTP5681/GEO211+2.p',unknown),
    [] ).

cnf(174077472,plain,
    ( convergent_lines(A,B)
    | not_orthogonal_through_point(A,B) ),
    inference(rewrite,[status(thm)],[occu1]),
    [] ).

fof(apart3,plain,
    ! [A] : ~ convergent_lines(A,A),
    file('/tmp/SystemOnTPTP5681/GEO211+2.p',unknown),
    [] ).

cnf(173933680,plain,
    ~ convergent_lines(A,A),
    inference(rewrite,[status(thm)],[apart3]),
    [] ).

cnf(182051152,plain,
    not_orthogonal_through_point(A,A),
    inference(resolution,[status(thm)],[174077472,173933680]),
    [] ).

fof(con,plain,
    ~ not_orthogonal_through_point(l,l),
    file('/tmp/SystemOnTPTP5681/GEO211+2.p',unknown),
    [] ).

cnf(174165496,plain,
    ~ not_orthogonal_through_point(l,l),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[182051152,174165496]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(occu1,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),file('/tmp/SystemOnTPTP5681/GEO211+2.p',unknown),[]).
% 
% cnf(174077472,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),inference(rewrite,[status(thm)],[occu1]),[]).
% 
% fof(apart3,plain,(~convergent_lines(A,A)),file('/tmp/SystemOnTPTP5681/GEO211+2.p',unknown),[]).
% 
% cnf(173933680,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
% 
% cnf(182051152,plain,(not_orthogonal_through_point(A,A)),inference(resolution,[status(thm)],[174077472,173933680]),[]).
% 
% fof(con,plain,(~not_orthogonal_through_point(l,l)),file('/tmp/SystemOnTPTP5681/GEO211+2.p',unknown),[]).
% 
% cnf(174165496,plain,(~not_orthogonal_through_point(l,l)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[182051152,174165496]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------