%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO171+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 11:57:28 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ceq3,plain,
    ! [A,B] :
      ( ~ convergent_lines(A,B)
      | distinct_lines(A,B) ),
    file('/tmp/SystemOnTPTP13125/GEO171+2.p',unknown),
    [] ).

cnf(150747944,plain,
    ( ~ convergent_lines(A,B)
    | distinct_lines(A,B) ),
    inference(rewrite,[status(thm)],[ceq3]),
    [] ).

fof(con,plain,
    ( convergent_lines(x,y)
    & ~ distinct_lines(x,y) ),
    file('/tmp/SystemOnTPTP13125/GEO171+2.p',unknown),
    [] ).

cnf(150794416,plain,
    convergent_lines(x,y),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(161203240,plain,
    distinct_lines(x,y),
    inference(resolution,[status(thm)],[150747944,150794416]),
    [] ).

cnf(150785776,plain,
    ~ distinct_lines(x,y),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[161203240,150785776]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ceq3,plain,(~convergent_lines(A,B)|distinct_lines(A,B)),file('/tmp/SystemOnTPTP13125/GEO171+2.p',unknown),[]).
% 
% cnf(150747944,plain,(~convergent_lines(A,B)|distinct_lines(A,B)),inference(rewrite,[status(thm)],[ceq3]),[]).
% 
% fof(con,plain,((convergent_lines(x,y)&~distinct_lines(x,y))),file('/tmp/SystemOnTPTP13125/GEO171+2.p',unknown),[]).
% 
% cnf(150794416,plain,(convergent_lines(x,y)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(161203240,plain,(distinct_lines(x,y)),inference(resolution,[status(thm)],[150747944,150794416]),[]).
% 
% cnf(150785776,plain,(~distinct_lines(x,y)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[161203240,150785776]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------