TSTP Solution File: GEO185+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO185+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 11:59:12 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 65 ( 24 ~; 26 |; 15 &)
% ( 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 : 15 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ceq1,plain,
! [A,B,C] :
( ~ apart_point_and_line(A,B)
| distinct_points(A,C)
| apart_point_and_line(C,B) ),
file('/tmp/SystemOnTPTP10111/GEO185+1.p',unknown),
[] ).
cnf(148893280,plain,
( ~ apart_point_and_line(A,B)
| distinct_points(A,C)
| apart_point_and_line(C,B) ),
inference(rewrite,[status(thm)],[ceq1]),
[] ).
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/SystemOnTPTP10111/GEO185+1.p',unknown),
[] ).
cnf(149078120,plain,
~ distinct_points(x,intersection_point(u,v)),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(172980056,plain,
( ~ apart_point_and_line(x,A)
| apart_point_and_line(intersection_point(u,v),A) ),
inference(resolution,[status(thm)],[148893280,149078120]),
[] ).
fof(ci4,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('/tmp/SystemOnTPTP10111/GEO185+1.p',unknown),
[] ).
cnf(148869936,plain,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
inference(rewrite,[status(thm)],[ci4]),
[] ).
cnf(149087272,plain,
convergent_lines(u,v),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(172733224,plain,
~ apart_point_and_line(intersection_point(u,v),v),
inference(resolution,[status(thm)],[148869936,149087272]),
[] ).
cnf(174786112,plain,
~ apart_point_and_line(x,v),
inference(resolution,[status(thm)],[172980056,172733224]),
[] ).
fof(ci3,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('/tmp/SystemOnTPTP10111/GEO185+1.p',unknown),
[] ).
cnf(148865736,plain,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
inference(rewrite,[status(thm)],[ci3]),
[] ).
cnf(172719544,plain,
~ apart_point_and_line(intersection_point(u,v),u),
inference(resolution,[status(thm)],[148865736,149087272]),
[] ).
cnf(174777576,plain,
~ apart_point_and_line(x,u),
inference(resolution,[status(thm)],[172980056,172719544]),
[] ).
cnf(149101312,plain,
( apart_point_and_line(x,u)
| apart_point_and_line(x,v) ),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(174858872,plain,
apart_point_and_line(x,v),
inference(resolution,[status(thm)],[174777576,149101312]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174786112,174858872]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ceq1,plain,(~apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B)),file('/tmp/SystemOnTPTP10111/GEO185+1.p',unknown),[]).
%
% cnf(148893280,plain,(~apart_point_and_line(A,B)|distinct_points(A,C)|apart_point_and_line(C,B)),inference(rewrite,[status(thm)],[ceq1]),[]).
%
% 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/SystemOnTPTP10111/GEO185+1.p',unknown),[]).
%
% cnf(149078120,plain,(~distinct_points(x,intersection_point(u,v))),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(172980056,plain,(~apart_point_and_line(x,A)|apart_point_and_line(intersection_point(u,v),A)),inference(resolution,[status(thm)],[148893280,149078120]),[]).
%
% fof(ci4,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),B)),file('/tmp/SystemOnTPTP10111/GEO185+1.p',unknown),[]).
%
% cnf(148869936,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),B)),inference(rewrite,[status(thm)],[ci4]),[]).
%
% cnf(149087272,plain,(convergent_lines(u,v)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(172733224,plain,(~apart_point_and_line(intersection_point(u,v),v)),inference(resolution,[status(thm)],[148869936,149087272]),[]).
%
% cnf(174786112,plain,(~apart_point_and_line(x,v)),inference(resolution,[status(thm)],[172980056,172733224]),[]).
%
% fof(ci3,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),A)),file('/tmp/SystemOnTPTP10111/GEO185+1.p',unknown),[]).
%
% cnf(148865736,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),A)),inference(rewrite,[status(thm)],[ci3]),[]).
%
% cnf(172719544,plain,(~apart_point_and_line(intersection_point(u,v),u)),inference(resolution,[status(thm)],[148865736,149087272]),[]).
%
% cnf(174777576,plain,(~apart_point_and_line(x,u)),inference(resolution,[status(thm)],[172980056,172719544]),[]).
%
% cnf(149101312,plain,(apart_point_and_line(x,u)|apart_point_and_line(x,v)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(174858872,plain,(apart_point_and_line(x,v)),inference(resolution,[status(thm)],[174777576,149101312]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174786112,174858872]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------