TSTP Solution File: GEO226+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO226+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 12:03:51 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 64 ( 10 ~; 30 |; 24 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 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/SystemOnTPTP14833/GEO226+1.p',unknown),
[] ).
cnf(172551272,plain,
( apart_point_and_line(C,m)
| apart_point_and_line(C,l) ),
inference(rewrite,[status(thm)],[con]),
[] ).
fof(ci3,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
file('/tmp/SystemOnTPTP14833/GEO226+1.p',unknown),
[] ).
cnf(172203784,plain,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),A) ),
inference(rewrite,[status(thm)],[ci3]),
[] ).
cnf(172507328,plain,
convergent_lines(l,m),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(206847080,plain,
~ apart_point_and_line(intersection_point(l,m),l),
inference(resolution,[status(thm)],[172203784,172507328]),
[] ).
cnf(206957224,plain,
apart_point_and_line(intersection_point(l,m),m),
inference(resolution,[status(thm)],[172551272,206847080]),
[] ).
fof(ci4,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
file('/tmp/SystemOnTPTP14833/GEO226+1.p',unknown),
[] ).
cnf(172208208,plain,
( ~ convergent_lines(A,B)
| ~ apart_point_and_line(intersection_point(A,B),B) ),
inference(rewrite,[status(thm)],[ci4]),
[] ).
cnf(206860976,plain,
~ apart_point_and_line(intersection_point(l,m),m),
inference(resolution,[status(thm)],[172208208,172507328]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[206957224,206860976]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 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/SystemOnTPTP14833/GEO226+1.p',unknown),[]).
%
% cnf(172551272,plain,(apart_point_and_line(C,m)|apart_point_and_line(C,l)),inference(rewrite,[status(thm)],[con]),[]).
%
% fof(ci3,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),A)),file('/tmp/SystemOnTPTP14833/GEO226+1.p',unknown),[]).
%
% cnf(172203784,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),A)),inference(rewrite,[status(thm)],[ci3]),[]).
%
% cnf(172507328,plain,(convergent_lines(l,m)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(206847080,plain,(~apart_point_and_line(intersection_point(l,m),l)),inference(resolution,[status(thm)],[172203784,172507328]),[]).
%
% cnf(206957224,plain,(apart_point_and_line(intersection_point(l,m),m)),inference(resolution,[status(thm)],[172551272,206847080]),[]).
%
% fof(ci4,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),B)),file('/tmp/SystemOnTPTP14833/GEO226+1.p',unknown),[]).
%
% cnf(172208208,plain,(~convergent_lines(A,B)|~apart_point_and_line(intersection_point(A,B),B)),inference(rewrite,[status(thm)],[ci4]),[]).
%
% cnf(206860976,plain,(~apart_point_and_line(intersection_point(l,m),m)),inference(resolution,[status(thm)],[172208208,172507328]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[206957224,206860976]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------