TSTP Solution File: GEO185+2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO185+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 11:59:16 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 : 11 ( 6 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 60 ( 19 ~; 25 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(con,plain,
( ( distinct_points(x,y)
| apart_point_and_line(x,v) )
& ( convergent_lines(u,v)
| apart_point_and_line(x,v) )
& ( ~ distinct_points(x,intersection_point(u,v))
| apart_point_and_line(x,v) )
& ( apart_point_and_line(x,u)
| apart_point_and_line(x,v) )
& ( distinct_points(x,y)
| distinct_points(x,y) )
& ( convergent_lines(u,v)
| distinct_points(x,y) )
& ( ~ distinct_points(x,intersection_point(u,v))
| distinct_points(x,y) )
& ( apart_point_and_line(x,u)
| distinct_points(x,y) )
& ( distinct_points(x,y)
| convergent_lines(u,v) )
& ( convergent_lines(u,v)
| convergent_lines(u,v) )
& ( ~ distinct_points(x,intersection_point(u,v))
| convergent_lines(u,v) )
& ( apart_point_and_line(x,u)
| convergent_lines(u,v) )
& ( distinct_points(x,y)
| ~ distinct_points(x,intersection_point(u,v)) )
& ( convergent_lines(u,v)
| ~ distinct_points(x,intersection_point(u,v)) )
& ( ~ distinct_points(x,intersection_point(u,v))
| ~ distinct_points(x,intersection_point(u,v)) )
& ( apart_point_and_line(x,u)
| ~ distinct_points(x,intersection_point(u,v)) ) ),
file('/tmp/SystemOnTPTP10219/GEO185+2.p',unknown),
[] ).
cnf(167145464,plain,
convergent_lines(u,v),
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/SystemOnTPTP10219/GEO185+2.p',unknown),
[] ).
cnf(166929120,plain,
( ~ apart_point_and_line(C,B)
| distinct_points(C,intersection_point(A,B))
| ~ convergent_lines(A,B) ),
inference(rewrite,[status(thm)],[con2]),
[] ).
cnf(167136264,plain,
~ distinct_points(x,intersection_point(u,v)),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(191205032,plain,
~ apart_point_and_line(x,v),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167145464,166929120,167136264]),
[] ).
cnf(167158696,plain,
( apart_point_and_line(x,u)
| apart_point_and_line(x,v) ),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(166924800,plain,
( ~ apart_point_and_line(C,A)
| distinct_points(C,intersection_point(A,B))
| ~ convergent_lines(A,B) ),
inference(rewrite,[status(thm)],[con2]),
[] ).
cnf(191195720,plain,
~ apart_point_and_line(x,u),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167145464,166924800,167136264]),
[] ).
cnf(191211096,plain,
apart_point_and_line(x,v),
inference(resolution,[status(thm)],[167158696,191195720]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[191205032,191211096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(con,plain,(((distinct_points(x,y)|apart_point_and_line(x,v))&(convergent_lines(u,v)|apart_point_and_line(x,v))&(~distinct_points(x,intersection_point(u,v))|apart_point_and_line(x,v))&(apart_point_and_line(x,u)|apart_point_and_line(x,v))&(distinct_points(x,y)|distinct_points(x,y))&(convergent_lines(u,v)|distinct_points(x,y))&(~distinct_points(x,intersection_point(u,v))|distinct_points(x,y))&(apart_point_and_line(x,u)|distinct_points(x,y))&(distinct_points(x,y)|convergent_lines(u,v))&(convergent_lines(u,v)|convergent_lines(u,v))&(~distinct_points(x,intersection_point(u,v))|convergent_lines(u,v))&(apart_point_and_line(x,u)|convergent_lines(u,v))&(distinct_points(x,y)|~distinct_points(x,intersection_point(u,v)))&(convergent_lines(u,v)|~distinct_points(x,intersection_point(u,v)))&(~distinct_points(x,intersection_point(u,v))|~distinct_points(x,intersection_point(u,v)))&(apart_point_and_line(x,u)|~distinct_points(x,intersection_point(u,v))))),file('/tmp/SystemOnTPTP10219/GEO185+2.p',unknown),[]).
%
% cnf(167145464,plain,(convergent_lines(u,v)),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/SystemOnTPTP10219/GEO185+2.p',unknown),[]).
%
% cnf(166929120,plain,(~apart_point_and_line(C,B)|distinct_points(C,intersection_point(A,B))|~convergent_lines(A,B)),inference(rewrite,[status(thm)],[con2]),[]).
%
% cnf(167136264,plain,(~distinct_points(x,intersection_point(u,v))),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(191205032,plain,(~apart_point_and_line(x,v)),inference(forward_subsumption_resolution__resolution,[status(thm)],[167145464,166929120,167136264]),[]).
%
% cnf(167158696,plain,(apart_point_and_line(x,u)|apart_point_and_line(x,v)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(166924800,plain,(~apart_point_and_line(C,A)|distinct_points(C,intersection_point(A,B))|~convergent_lines(A,B)),inference(rewrite,[status(thm)],[con2]),[]).
%
% cnf(191195720,plain,(~apart_point_and_line(x,u)),inference(forward_subsumption_resolution__resolution,[status(thm)],[167145464,166924800,167136264]),[]).
%
% cnf(191211096,plain,(apart_point_and_line(x,v)),inference(resolution,[status(thm)],[167158696,191195720]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[191205032,191211096]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------