%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO207+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 12:01:42 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ceq3,plain,
! [A,B] :
( ~ convergent_lines(A,B)
| distinct_lines(A,B) ),
file('/tmp/SystemOnTPTP28789/GEO207+2.p',unknown),
[] ).
cnf(149691888,plain,
( ~ convergent_lines(A,B)
| distinct_lines(A,B) ),
inference(rewrite,[status(thm)],[ceq3]),
[] ).
fof(con,plain,
convergent_lines(x,x),
file('/tmp/SystemOnTPTP28789/GEO207+2.p',unknown),
[] ).
cnf(149744544,plain,
convergent_lines(x,x),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(157527096,plain,
distinct_lines(x,x),
inference(resolution,[status(thm)],[149691888,149744544]),
[] ).
fof(apart2,plain,
! [A] : ~ distinct_lines(A,A),
file('/tmp/SystemOnTPTP28789/GEO207+2.p',unknown),
[] ).
cnf(149583968,plain,
~ distinct_lines(A,A),
inference(rewrite,[status(thm)],[apart2]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[157527096,149583968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ceq3,plain,(~convergent_lines(A,B)|distinct_lines(A,B)),file('/tmp/SystemOnTPTP28789/GEO207+2.p',unknown),[]).
%
% cnf(149691888,plain,(~convergent_lines(A,B)|distinct_lines(A,B)),inference(rewrite,[status(thm)],[ceq3]),[]).
%
% fof(con,plain,(convergent_lines(x,x)),file('/tmp/SystemOnTPTP28789/GEO207+2.p',unknown),[]).
%
% cnf(149744544,plain,(convergent_lines(x,x)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(157527096,plain,(distinct_lines(x,x)),inference(resolution,[status(thm)],[149691888,149744544]),[]).
%
% fof(apart2,plain,(~distinct_lines(A,A)),file('/tmp/SystemOnTPTP28789/GEO207+2.p',unknown),[]).
%
% cnf(149583968,plain,(~distinct_lines(A,A)),inference(rewrite,[status(thm)],[apart2]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157527096,149583968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------