%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO220+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 12:03:12 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  12   ~;  10   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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   :   17 (   0 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(couo1,plain,
    ! [A,B,C] :
      ( not_orthogonal_through_point(A,B)
      | not_orthogonal_through_point(A,C)
      | ~ convergent_lines(B,C) ),
    file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),
    [] ).

cnf(161034536,plain,
    ( not_orthogonal_through_point(A,B)
    | not_orthogonal_through_point(A,C)
    | ~ convergent_lines(B,C) ),
    inference(rewrite,[status(thm)],[couo1]),
    [] ).

fof(con,plain,
    ( ~ not_orthogonal_through_point(l,m)
    & ~ not_orthogonal_through_point(l,n)
    & convergent_lines(m,n) ),
    file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),
    [] ).

cnf(161109536,plain,
    ~ not_orthogonal_through_point(l,m),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(174430408,plain,
    ( not_orthogonal_through_point(l,A)
    | ~ convergent_lines(A,m) ),
    inference(resolution,[status(thm)],[161034536,161109536]),
    [] ).

fof(ax6,plain,
    ! [A,B,C] :
      ( ~ convergent_lines(A,B)
      | convergent_lines(A,C)
      | convergent_lines(B,C) ),
    file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),
    [] ).

cnf(160915136,plain,
    ( ~ convergent_lines(A,B)
    | convergent_lines(A,C)
    | convergent_lines(B,C) ),
    inference(rewrite,[status(thm)],[ax6]),
    [] ).

fof(apart3,plain,
    ! [A] : ~ convergent_lines(A,A),
    file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),
    [] ).

cnf(160888696,plain,
    ~ convergent_lines(A,A),
    inference(rewrite,[status(thm)],[apart3]),
    [] ).

cnf(174326320,plain,
    ( ~ convergent_lines(A,B)
    | convergent_lines(B,A) ),
    inference(resolution,[status(thm)],[160915136,160888696]),
    [] ).

cnf(161089144,plain,
    convergent_lines(m,n),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(174339736,plain,
    convergent_lines(n,m),
    inference(resolution,[status(thm)],[174326320,161089144]),
    [] ).

cnf(174434904,plain,
    not_orthogonal_through_point(l,n),
    inference(resolution,[status(thm)],[174430408,174339736]),
    [] ).

cnf(161102096,plain,
    ~ not_orthogonal_through_point(l,n),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[174434904,161102096]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(couo1,plain,(not_orthogonal_through_point(A,B)|not_orthogonal_through_point(A,C)|~convergent_lines(B,C)),file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),[]).
% 
% cnf(161034536,plain,(not_orthogonal_through_point(A,B)|not_orthogonal_through_point(A,C)|~convergent_lines(B,C)),inference(rewrite,[status(thm)],[couo1]),[]).
% 
% fof(con,plain,((~not_orthogonal_through_point(l,m)&~not_orthogonal_through_point(l,n)&convergent_lines(m,n))),file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),[]).
% 
% cnf(161109536,plain,(~not_orthogonal_through_point(l,m)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(174430408,plain,(not_orthogonal_through_point(l,A)|~convergent_lines(A,m)),inference(resolution,[status(thm)],[161034536,161109536]),[]).
% 
% fof(ax6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),[]).
% 
% cnf(160915136,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[ax6]),[]).
% 
% fof(apart3,plain,(~convergent_lines(A,A)),file('/tmp/SystemOnTPTP23775/GEO220+1.p',unknown),[]).
% 
% cnf(160888696,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
% 
% cnf(174326320,plain,(~convergent_lines(A,B)|convergent_lines(B,A)),inference(resolution,[status(thm)],[160915136,160888696]),[]).
% 
% cnf(161089144,plain,(convergent_lines(m,n)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(174339736,plain,(convergent_lines(n,m)),inference(resolution,[status(thm)],[174326320,161089144]),[]).
% 
% cnf(174434904,plain,(not_orthogonal_through_point(l,n)),inference(resolution,[status(thm)],[174430408,174339736]),[]).
% 
% cnf(161102096,plain,(~not_orthogonal_through_point(l,n)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174434904,161102096]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------