%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : GEO220+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.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 12:03:15 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   5   |;   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   :    7 (   0 sgn   3   !;   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/SystemOnTPTP6521/GEO220+2.p',unknown),
    [] ).

cnf(150217392,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/SystemOnTPTP6521/GEO220+2.p',unknown),
    [] ).

cnf(150280848,plain,
    ~ not_orthogonal_through_point(l,n),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(163671304,plain,
    ( not_orthogonal_through_point(l,A)
    | ~ convergent_lines(A,n) ),
    inference(resolution,[status(thm)],[150217392,150280848]),
    [] ).

cnf(150271984,plain,
    convergent_lines(m,n),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(163679888,plain,
    not_orthogonal_through_point(l,m),
    inference(resolution,[status(thm)],[163671304,150271984]),
    [] ).

cnf(150292376,plain,
    ~ not_orthogonal_through_point(l,m),
    inference(rewrite,[status(thm)],[con]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[163679888,150292376]),
    [] ).

%------------------------------------------------------------------------------
%----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/SystemOnTPTP6521/GEO220+2.p',unknown),[]).
% 
% cnf(150217392,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/SystemOnTPTP6521/GEO220+2.p',unknown),[]).
% 
% cnf(150280848,plain,(~not_orthogonal_through_point(l,n)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(163671304,plain,(not_orthogonal_through_point(l,A)|~convergent_lines(A,n)),inference(resolution,[status(thm)],[150217392,150280848]),[]).
% 
% cnf(150271984,plain,(convergent_lines(m,n)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(163679888,plain,(not_orthogonal_through_point(l,m)),inference(resolution,[status(thm)],[163671304,150271984]),[]).
% 
% cnf(150292376,plain,(~not_orthogonal_through_point(l,m)),inference(rewrite,[status(thm)],[con]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163679888,150292376]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------