%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO217+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 12:02:52 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   6   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(apart6,plain,
    ! [A,B,C] :
      ( ~ convergent_lines(A,B)
      | convergent_lines(A,C)
      | convergent_lines(B,C) ),
    file('/tmp/SystemOnTPTP18655/GEO217+2.p',unknown),
    [] ).

cnf(173266032,plain,
    ( ~ convergent_lines(A,B)
    | convergent_lines(A,C)
    | convergent_lines(B,C) ),
    inference(rewrite,[status(thm)],[apart6]),
    [] ).

fof(apart3,plain,
    ! [A] : ~ convergent_lines(A,A),
    file('/tmp/SystemOnTPTP18655/GEO217+2.p',unknown),
    [] ).

cnf(173239592,plain,
    ~ convergent_lines(A,A),
    inference(rewrite,[status(thm)],[apart3]),
    [] ).

cnf(186819448,plain,
    ( ~ convergent_lines(A,B)
    | convergent_lines(B,A) ),
    inference(resolution,[status(thm)],[173266032,173239592]),
    [] ).

fof(con,plain,
    ( ~ convergent_lines(l,m)
    & ~ convergent_lines(l,n)
    & convergent_lines(m,n) ),
    file('/tmp/SystemOnTPTP18655/GEO217+2.p',unknown),
    [] ).

cnf(173457000,plain,
    ~ convergent_lines(l,n),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(187545368,plain,
    ~ convergent_lines(n,l),
    inference(resolution,[status(thm)],[186819448,173457000]),
    [] ).

cnf(173449664,plain,
    convergent_lines(m,n),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(186565584,plain,
    ( convergent_lines(m,A)
    | convergent_lines(n,A) ),
    inference(resolution,[status(thm)],[173266032,173449664]),
    [] ).

cnf(187616840,plain,
    convergent_lines(m,l),
    inference(resolution,[status(thm)],[187545368,186565584]),
    [] ).

cnf(187667416,plain,
    convergent_lines(l,m),
    inference(resolution,[status(thm)],[187616840,186819448]),
    [] ).

cnf(173468144,plain,
    ~ convergent_lines(l,m),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[187667416,173468144]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(apart6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP18655/GEO217+2.p',unknown),[]).
% 
% cnf(173266032,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[apart6]),[]).
% 
% fof(apart3,plain,(~convergent_lines(A,A)),file('/tmp/SystemOnTPTP18655/GEO217+2.p',unknown),[]).
% 
% cnf(173239592,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
% 
% cnf(186819448,plain,(~convergent_lines(A,B)|convergent_lines(B,A)),inference(resolution,[status(thm)],[173266032,173239592]),[]).
% 
% fof(con,plain,((~convergent_lines(l,m)&~convergent_lines(l,n)&convergent_lines(m,n))),file('/tmp/SystemOnTPTP18655/GEO217+2.p',unknown),[]).
% 
% cnf(173457000,plain,(~convergent_lines(l,n)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(187545368,plain,(~convergent_lines(n,l)),inference(resolution,[status(thm)],[186819448,173457000]),[]).
% 
% cnf(173449664,plain,(convergent_lines(m,n)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(186565584,plain,(convergent_lines(m,A)|convergent_lines(n,A)),inference(resolution,[status(thm)],[173266032,173449664]),[]).
% 
% cnf(187616840,plain,(convergent_lines(m,l)),inference(resolution,[status(thm)],[187545368,186565584]),[]).
% 
% cnf(187667416,plain,(convergent_lines(l,m)),inference(resolution,[status(thm)],[187616840,186819448]),[]).
% 
% cnf(173468144,plain,(~convergent_lines(l,m)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[187667416,173468144]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------