%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO212+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 12:02:20 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 52 ( 20 ~; 27 |; 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 : 24 ( 0 sgn 9 !; 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/SystemOnTPTP13390/GEO212+1.p',unknown),
[] ).
cnf(170357792,plain,
~ convergent_lines(l,n),
inference(rewrite,[status(thm)],[con]),
[] ).
fof(ax6,plain,
! [A,B,C] :
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),
[] ).
cnf(170123864,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/SystemOnTPTP13390/GEO212+1.p',unknown),
[] ).
cnf(170097232,plain,
~ convergent_lines(A,A),
inference(rewrite,[status(thm)],[apart3]),
[] ).
cnf(183527352,plain,
( ~ convergent_lines(A,B)
| convergent_lines(B,A) ),
inference(resolution,[status(thm)],[170123864,170097232]),
[] ).
fof(occu1,plain,
! [A,B] :
( convergent_lines(A,B)
| not_orthogonal_through_point(A,B) ),
file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),
[] ).
cnf(170085008,plain,
( convergent_lines(A,B)
| not_orthogonal_through_point(A,B) ),
inference(rewrite,[status(thm)],[occu1]),
[] ).
cnf(170350616,plain,
~ not_orthogonal_through_point(m,n),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(183563344,plain,
convergent_lines(m,n),
inference(resolution,[status(thm)],[170085008,170350616]),
[] ).
cnf(183699224,plain,
( convergent_lines(m,A)
| convergent_lines(n,A) ),
inference(resolution,[status(thm)],[170123864,183563344]),
[] ).
cnf(184757440,plain,
( convergent_lines(A,m)
| convergent_lines(n,A) ),
inference(resolution,[status(thm)],[183527352,183699224]),
[] ).
cnf(184958904,plain,
( convergent_lines(A,m)
| convergent_lines(A,n) ),
inference(resolution,[status(thm)],[184757440,183527352]),
[] ).
fof(oac1,plain,
! [B,C,A] :
( ( not_orthogonal_through_point(B,C)
| not_orthogonal_through_point(A,C)
| ~ convergent_lines(A,B)
| ~ not_orthogonal_through_point(A,B) )
& ( convergent_lines(B,C)
| not_orthogonal_through_point(A,C)
| ~ convergent_lines(A,B)
| ~ not_orthogonal_through_point(A,B) )
& ( not_orthogonal_through_point(B,C)
| convergent_lines(A,C)
| ~ convergent_lines(A,B)
| ~ not_orthogonal_through_point(A,B) )
& ( convergent_lines(B,C)
| convergent_lines(A,C)
| ~ convergent_lines(A,B)
| ~ not_orthogonal_through_point(A,B) ) ),
file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),
[] ).
cnf(170243912,plain,
( not_orthogonal_through_point(B,C)
| convergent_lines(A,C)
| ~ convergent_lines(A,B)
| ~ not_orthogonal_through_point(A,B) ),
inference(rewrite,[status(thm)],[oac1]),
[] ).
cnf(170364952,plain,
not_orthogonal_through_point(l,m),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(183473376,plain,
( not_orthogonal_through_point(m,A)
| convergent_lines(l,A)
| ~ convergent_lines(l,m) ),
inference(resolution,[status(thm)],[170243912,170364952]),
[] ).
cnf(190100144,plain,
convergent_lines(l,n),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184958904,183473376,170350616]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[170357792,190100144]),
[] ).
%------------------------------------------------------------------------------
%----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)&~not_orthogonal_through_point(m,n))),file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),[]).
%
% cnf(170357792,plain,(~convergent_lines(l,n)),inference(rewrite,[status(thm)],[con]),[]).
%
% fof(ax6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),[]).
%
% cnf(170123864,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/SystemOnTPTP13390/GEO212+1.p',unknown),[]).
%
% cnf(170097232,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
%
% cnf(183527352,plain,(~convergent_lines(A,B)|convergent_lines(B,A)),inference(resolution,[status(thm)],[170123864,170097232]),[]).
%
% fof(occu1,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),[]).
%
% cnf(170085008,plain,(convergent_lines(A,B)|not_orthogonal_through_point(A,B)),inference(rewrite,[status(thm)],[occu1]),[]).
%
% cnf(170350616,plain,(~not_orthogonal_through_point(m,n)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(183563344,plain,(convergent_lines(m,n)),inference(resolution,[status(thm)],[170085008,170350616]),[]).
%
% cnf(183699224,plain,(convergent_lines(m,A)|convergent_lines(n,A)),inference(resolution,[status(thm)],[170123864,183563344]),[]).
%
% cnf(184757440,plain,(convergent_lines(A,m)|convergent_lines(n,A)),inference(resolution,[status(thm)],[183527352,183699224]),[]).
%
% cnf(184958904,plain,(convergent_lines(A,m)|convergent_lines(A,n)),inference(resolution,[status(thm)],[184757440,183527352]),[]).
%
% fof(oac1,plain,(((not_orthogonal_through_point(B,C)|not_orthogonal_through_point(A,C)|~convergent_lines(A,B)|~not_orthogonal_through_point(A,B))&(convergent_lines(B,C)|not_orthogonal_through_point(A,C)|~convergent_lines(A,B)|~not_orthogonal_through_point(A,B))&(not_orthogonal_through_point(B,C)|convergent_lines(A,C)|~convergent_lines(A,B)|~not_orthogonal_through_point(A,B))&(convergent_lines(B,C)|convergent_lines(A,C)|~convergent_lines(A,B)|~not_orthogonal_through_point(A,B)))),file('/tmp/SystemOnTPTP13390/GEO212+1.p',unknown),[]).
%
% cnf(170243912,plain,(not_orthogonal_through_point(B,C)|convergent_lines(A,C)|~convergent_lines(A,B)|~not_orthogonal_through_point(A,B)),inference(rewrite,[status(thm)],[oac1]),[]).
%
% cnf(170364952,plain,(not_orthogonal_through_point(l,m)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(183473376,plain,(not_orthogonal_through_point(m,A)|convergent_lines(l,A)|~convergent_lines(l,m)),inference(resolution,[status(thm)],[170243912,170364952]),[]).
%
% cnf(190100144,plain,(convergent_lines(l,n)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184958904,183473376,170350616]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[170357792,190100144]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------