%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO219+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 12:03:07 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 ( 6 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 46 ( 17 ~; 24 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 18 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(con,plain,
( ~ not_orthogonal_through_point(l,m)
& ~ convergent_lines(l,n)
& not_orthogonal_through_point(m,n) ),
file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),
[] ).
cnf(159493800,plain,
~ convergent_lines(l,n),
inference(rewrite,[status(thm)],[con]),
[] ).
fof(apart6,plain,
! [A,B,C] :
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),
[] ).
cnf(159302768,plain,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(rewrite,[status(thm)],[apart6]),
[] ).
fof(coipo1,plain,
! [A,B] :
( convergent_lines(A,B)
| not_orthogonal_through_point(A,B) ),
file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),
[] ).
cnf(159386176,plain,
( convergent_lines(A,B)
| not_orthogonal_through_point(A,B) ),
inference(rewrite,[status(thm)],[coipo1]),
[] ).
cnf(159506528,plain,
~ not_orthogonal_through_point(l,m),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(172818408,plain,
convergent_lines(l,m),
inference(resolution,[status(thm)],[159386176,159506528]),
[] ).
cnf(172865992,plain,
( convergent_lines(l,A)
| convergent_lines(m,A) ),
inference(resolution,[status(thm)],[159302768,172818408]),
[] ).
fof(cotno1,plain,
! [A,C,B] :
( ( not_orthogonal_through_point(A,C)
| convergent_lines(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) )
& ( convergent_lines(A,C)
| convergent_lines(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) )
& ( not_orthogonal_through_point(A,C)
| not_orthogonal_through_point(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) )
& ( convergent_lines(A,C)
| not_orthogonal_through_point(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) ) ),
file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),
[] ).
cnf(159401792,plain,
( convergent_lines(A,C)
| not_orthogonal_through_point(A,B)
| ~ convergent_lines(B,C)
| ~ not_orthogonal_through_point(B,C) ),
inference(rewrite,[status(thm)],[cotno1]),
[] ).
cnf(159486400,plain,
not_orthogonal_through_point(m,n),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(172602976,plain,
( convergent_lines(A,n)
| not_orthogonal_through_point(A,m)
| ~ convergent_lines(m,n) ),
inference(resolution,[status(thm)],[159401792,159486400]),
[] ).
cnf(176379800,plain,
convergent_lines(l,n),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172865992,172602976,159506528]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[159493800,176379800]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(con,plain,((~not_orthogonal_through_point(l,m)&~convergent_lines(l,n)¬_orthogonal_through_point(m,n))),file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),[]).
%
% cnf(159493800,plain,(~convergent_lines(l,n)),inference(rewrite,[status(thm)],[con]),[]).
%
% fof(apart6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),[]).
%
% cnf(159302768,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[apart6]),[]).
%
% fof(coipo1,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),[]).
%
% cnf(159386176,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),inference(rewrite,[status(thm)],[coipo1]),[]).
%
% cnf(159506528,plain,(~not_orthogonal_through_point(l,m)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(172818408,plain,(convergent_lines(l,m)),inference(resolution,[status(thm)],[159386176,159506528]),[]).
%
% cnf(172865992,plain,(convergent_lines(l,A)|convergent_lines(m,A)),inference(resolution,[status(thm)],[159302768,172818408]),[]).
%
% fof(cotno1,plain,(((not_orthogonal_through_point(A,C)|convergent_lines(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C))&(convergent_lines(A,C)|convergent_lines(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C))&(not_orthogonal_through_point(A,C)|not_orthogonal_through_point(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C))&(convergent_lines(A,C)|not_orthogonal_through_point(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C)))),file('/tmp/SystemOnTPTP6417/GEO219+2.p',unknown),[]).
%
% cnf(159401792,plain,(convergent_lines(A,C)|not_orthogonal_through_point(A,B)|~convergent_lines(B,C)|~not_orthogonal_through_point(B,C)),inference(rewrite,[status(thm)],[cotno1]),[]).
%
% cnf(159486400,plain,(not_orthogonal_through_point(m,n)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(172602976,plain,(convergent_lines(A,n)|not_orthogonal_through_point(A,m)|~convergent_lines(m,n)),inference(resolution,[status(thm)],[159401792,159486400]),[]).
%
% cnf(176379800,plain,(convergent_lines(l,n)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172865992,172602976,159506528]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159493800,176379800]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------