TSTP Solution File: GEO226+2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO226+2 : 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 12:03:54 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 6 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 75 ( 14 ~; 36 |; 25 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(con,plain,
! [C] :
( ( line(l)
| apart_point_and_line(C,l) )
& ( line(m)
| apart_point_and_line(C,l) )
& ( convergent_lines(l,m)
| apart_point_and_line(C,l) )
& ( apart_point_and_line(C,m)
| apart_point_and_line(C,l) )
& ( point(C)
| apart_point_and_line(C,l) )
& ( line(l)
| point(C) )
& ( line(m)
| point(C) )
& ( convergent_lines(l,m)
| point(C) )
& ( apart_point_and_line(C,m)
| point(C) )
& ( point(C)
| point(C) )
& ( line(l)
| line(l) )
& ( line(m)
| line(l) )
& ( convergent_lines(l,m)
| line(l) )
& ( apart_point_and_line(C,m)
| line(l) )
& ( point(C)
| line(l) )
& ( line(l)
| line(m) )
& ( line(m)
| line(m) )
& ( convergent_lines(l,m)
| line(m) )
& ( apart_point_and_line(C,m)
| line(m) )
& ( point(C)
| line(m) )
& ( line(l)
| convergent_lines(l,m) )
& ( line(m)
| convergent_lines(l,m) )
& ( convergent_lines(l,m)
| convergent_lines(l,m) )
& ( apart_point_and_line(C,m)
| convergent_lines(l,m) )
& ( point(C)
| convergent_lines(l,m) ) ),
file('/tmp/SystemOnTPTP14946/GEO226+2.p',unknown),
[] ).
cnf(174618280,plain,
convergent_lines(l,m),
inference(rewrite,[status(thm)],[con]),
[] ).
fof(con2,plain,
! [C,B,A] :
( ( ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B))
| ~ convergent_lines(A,B) )
& ( ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B))
| ~ convergent_lines(A,B) ) ),
file('/tmp/SystemOnTPTP14946/GEO226+2.p',unknown),
[] ).
cnf(174323304,plain,
( ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B))
| ~ convergent_lines(A,B) ),
inference(rewrite,[status(thm)],[con2]),
[] ).
cnf(174662168,plain,
( apart_point_and_line(C,m)
| apart_point_and_line(C,l) ),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(174318760,plain,
( ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B))
| ~ convergent_lines(A,B) ),
inference(rewrite,[status(thm)],[con2]),
[] ).
fof(apart1,plain,
! [A] : ~ distinct_points(A,A),
file('/tmp/SystemOnTPTP14946/GEO226+2.p',unknown),
[] ).
cnf(174236848,plain,
~ distinct_points(A,A),
inference(rewrite,[status(thm)],[apart1]),
[] ).
cnf(209069288,plain,
( ~ apart_point_and_line(intersection_point(A,B),A)
| ~ convergent_lines(A,B) ),
inference(resolution,[status(thm)],[174318760,174236848]),
[] ).
cnf(209088000,plain,
~ apart_point_and_line(intersection_point(l,m),l),
inference(resolution,[status(thm)],[209069288,174618280]),
[] ).
cnf(209198320,plain,
apart_point_and_line(intersection_point(l,m),m),
inference(resolution,[status(thm)],[174662168,209088000]),
[] ).
cnf(209288744,plain,
( distinct_points(intersection_point(l,m),intersection_point(A,m))
| ~ convergent_lines(A,m) ),
inference(resolution,[status(thm)],[174323304,209198320]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174618280,209288744,174236848]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(con,plain,(((line(l)|apart_point_and_line(C,l))&(line(m)|apart_point_and_line(C,l))&(convergent_lines(l,m)|apart_point_and_line(C,l))&(apart_point_and_line(C,m)|apart_point_and_line(C,l))&(point(C)|apart_point_and_line(C,l))&(line(l)|point(C))&(line(m)|point(C))&(convergent_lines(l,m)|point(C))&(apart_point_and_line(C,m)|point(C))&(point(C)|point(C))&(line(l)|line(l))&(line(m)|line(l))&(convergent_lines(l,m)|line(l))&(apart_point_and_line(C,m)|line(l))&(point(C)|line(l))&(line(l)|line(m))&(line(m)|line(m))&(convergent_lines(l,m)|line(m))&(apart_point_and_line(C,m)|line(m))&(point(C)|line(m))&(line(l)|convergent_lines(l,m))&(line(m)|convergent_lines(l,m))&(convergent_lines(l,m)|convergent_lines(l,m))&(apart_point_and_line(C,m)|convergent_lines(l,m))&(point(C)|convergent_lines(l,m)))),file('/tmp/SystemOnTPTP14946/GEO226+2.p',unknown),[]).
%
% cnf(174618280,plain,(convergent_lines(l,m)),inference(rewrite,[status(thm)],[con]),[]).
%
% fof(con2,plain,(((~apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B))|~convergent_lines(A,B))&(~apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B))|~convergent_lines(A,B)))),file('/tmp/SystemOnTPTP14946/GEO226+2.p',unknown),[]).
%
% cnf(174323304,plain,(~apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B))|~convergent_lines(A,B)),inference(rewrite,[status(thm)],[con2]),[]).
%
% cnf(174662168,plain,(apart_point_and_line(C,m)|apart_point_and_line(C,l)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(174318760,plain,(~apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B))|~convergent_lines(A,B)),inference(rewrite,[status(thm)],[con2]),[]).
%
% fof(apart1,plain,(~distinct_points(A,A)),file('/tmp/SystemOnTPTP14946/GEO226+2.p',unknown),[]).
%
% cnf(174236848,plain,(~distinct_points(A,A)),inference(rewrite,[status(thm)],[apart1]),[]).
%
% cnf(209069288,plain,(~apart_point_and_line(intersection_point(A,B),A)|~convergent_lines(A,B)),inference(resolution,[status(thm)],[174318760,174236848]),[]).
%
% cnf(209088000,plain,(~apart_point_and_line(intersection_point(l,m),l)),inference(resolution,[status(thm)],[209069288,174618280]),[]).
%
% cnf(209198320,plain,(apart_point_and_line(intersection_point(l,m),m)),inference(resolution,[status(thm)],[174662168,209088000]),[]).
%
% cnf(209288744,plain,(distinct_points(intersection_point(l,m),intersection_point(A,m))|~convergent_lines(A,m)),inference(resolution,[status(thm)],[174323304,209198320]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174618280,209288744,174236848]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------