%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO225+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 12:03:47 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 50 ( 5 avg)
% Number of connectives : 77 ( 16 ~; 36 |; 25 &)
% ( 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 : 17 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(con,plain,
! [C] :
( ( point(a)
| apart_point_and_line(a,C) )
& ( point(b)
| apart_point_and_line(a,C) )
& ( distinct_points(a,b)
| apart_point_and_line(a,C) )
& ( apart_point_and_line(b,C)
| apart_point_and_line(a,C) )
& ( line(C)
| apart_point_and_line(a,C) )
& ( point(a)
| line(C) )
& ( point(b)
| line(C) )
& ( distinct_points(a,b)
| line(C) )
& ( apart_point_and_line(b,C)
| line(C) )
& ( line(C)
| line(C) )
& ( point(a)
| point(a) )
& ( point(b)
| point(a) )
& ( distinct_points(a,b)
| point(a) )
& ( apart_point_and_line(b,C)
| point(a) )
& ( line(C)
| point(a) )
& ( point(a)
| point(b) )
& ( point(b)
| point(b) )
& ( distinct_points(a,b)
| point(b) )
& ( apart_point_and_line(b,C)
| point(b) )
& ( line(C)
| point(b) )
& ( point(a)
| distinct_points(a,b) )
& ( point(b)
| distinct_points(a,b) )
& ( distinct_points(a,b)
| distinct_points(a,b) )
& ( apart_point_and_line(b,C)
| distinct_points(a,b) )
& ( line(C)
| distinct_points(a,b) ) ),
file('/tmp/SystemOnTPTP14720/GEO225+2.p',unknown),
[] ).
cnf(142138128,plain,
( apart_point_and_line(b,C)
| apart_point_and_line(a,C) ),
inference(rewrite,[status(thm)],[con]),
[] ).
fof(con1,plain,
! [C,A,B] :
( ( distinct_points(C,A)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) )
& ( distinct_points(C,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ) ),
file('/tmp/SystemOnTPTP14720/GEO225+2.p',unknown),
[] ).
cnf(141771344,plain,
( distinct_points(C,B)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(rewrite,[status(thm)],[con1]),
[] ).
fof(apart1,plain,
! [A] : ~ distinct_points(A,A),
file('/tmp/SystemOnTPTP14720/GEO225+2.p',unknown),
[] ).
cnf(141713808,plain,
~ distinct_points(A,A),
inference(rewrite,[status(thm)],[apart1]),
[] ).
cnf(176452928,plain,
( ~ apart_point_and_line(B,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(resolution,[status(thm)],[141771344,141713808]),
[] ).
cnf(142094608,plain,
distinct_points(a,b),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(176466648,plain,
~ apart_point_and_line(b,line_connecting(a,b)),
inference(resolution,[status(thm)],[176452928,142094608]),
[] ).
cnf(176602392,plain,
apart_point_and_line(a,line_connecting(a,b)),
inference(resolution,[status(thm)],[142138128,176466648]),
[] ).
cnf(141779968,plain,
( distinct_points(C,A)
| ~ apart_point_and_line(C,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(rewrite,[status(thm)],[con1]),
[] ).
cnf(176481432,plain,
( ~ apart_point_and_line(A,line_connecting(A,B))
| ~ distinct_points(A,B) ),
inference(resolution,[status(thm)],[141779968,141713808]),
[] ).
cnf(176498920,plain,
~ apart_point_and_line(a,line_connecting(a,b)),
inference(resolution,[status(thm)],[176481432,142094608]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[176602392,176498920]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(con,plain,(((point(a)|apart_point_and_line(a,C))&(point(b)|apart_point_and_line(a,C))&(distinct_points(a,b)|apart_point_and_line(a,C))&(apart_point_and_line(b,C)|apart_point_and_line(a,C))&(line(C)|apart_point_and_line(a,C))&(point(a)|line(C))&(point(b)|line(C))&(distinct_points(a,b)|line(C))&(apart_point_and_line(b,C)|line(C))&(line(C)|line(C))&(point(a)|point(a))&(point(b)|point(a))&(distinct_points(a,b)|point(a))&(apart_point_and_line(b,C)|point(a))&(line(C)|point(a))&(point(a)|point(b))&(point(b)|point(b))&(distinct_points(a,b)|point(b))&(apart_point_and_line(b,C)|point(b))&(line(C)|point(b))&(point(a)|distinct_points(a,b))&(point(b)|distinct_points(a,b))&(distinct_points(a,b)|distinct_points(a,b))&(apart_point_and_line(b,C)|distinct_points(a,b))&(line(C)|distinct_points(a,b)))),file('/tmp/SystemOnTPTP14720/GEO225+2.p',unknown),[]).
%
% cnf(142138128,plain,(apart_point_and_line(b,C)|apart_point_and_line(a,C)),inference(rewrite,[status(thm)],[con]),[]).
%
% fof(con1,plain,(((distinct_points(C,A)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B))&(distinct_points(C,B)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)))),file('/tmp/SystemOnTPTP14720/GEO225+2.p',unknown),[]).
%
% cnf(141771344,plain,(distinct_points(C,B)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)),inference(rewrite,[status(thm)],[con1]),[]).
%
% fof(apart1,plain,(~distinct_points(A,A)),file('/tmp/SystemOnTPTP14720/GEO225+2.p',unknown),[]).
%
% cnf(141713808,plain,(~distinct_points(A,A)),inference(rewrite,[status(thm)],[apart1]),[]).
%
% cnf(176452928,plain,(~apart_point_and_line(B,line_connecting(A,B))|~distinct_points(A,B)),inference(resolution,[status(thm)],[141771344,141713808]),[]).
%
% cnf(142094608,plain,(distinct_points(a,b)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(176466648,plain,(~apart_point_and_line(b,line_connecting(a,b))),inference(resolution,[status(thm)],[176452928,142094608]),[]).
%
% cnf(176602392,plain,(apart_point_and_line(a,line_connecting(a,b))),inference(resolution,[status(thm)],[142138128,176466648]),[]).
%
% cnf(141779968,plain,(distinct_points(C,A)|~apart_point_and_line(C,line_connecting(A,B))|~distinct_points(A,B)),inference(rewrite,[status(thm)],[con1]),[]).
%
% cnf(176481432,plain,(~apart_point_and_line(A,line_connecting(A,B))|~distinct_points(A,B)),inference(resolution,[status(thm)],[141779968,141713808]),[]).
%
% cnf(176498920,plain,(~apart_point_and_line(a,line_connecting(a,b))),inference(resolution,[status(thm)],[176481432,142094608]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176602392,176498920]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------