%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO171+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 11:57:25 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 9 ~; 12 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 20 ( 1 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax6,plain,
! [A,B,C] :
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),
[] ).
cnf(171137680,plain,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(rewrite,[status(thm)],[ax6]),
[] ).
fof(apart3,plain,
! [A] : ~ convergent_lines(A,A),
file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),
[] ).
cnf(171115520,plain,
~ convergent_lines(A,A),
inference(rewrite,[status(thm)],[apart3]),
[] ).
cnf(182311696,plain,
( ~ convergent_lines(A,B)
| convergent_lines(B,A) ),
inference(resolution,[status(thm)],[171137680,171115520]),
[] ).
fof(con,plain,
( convergent_lines(x,y)
& ~ distinct_lines(x,y) ),
file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),
[] ).
cnf(171260928,plain,
convergent_lines(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(181695096,plain,
( convergent_lines(x,A)
| convergent_lines(y,A) ),
inference(resolution,[status(thm)],[171137680,171260928]),
[] ).
cnf(182349880,plain,
( convergent_lines(A,x)
| convergent_lines(y,A) ),
inference(resolution,[status(thm)],[182311696,181695096]),
[] ).
cnf(182379152,plain,
( convergent_lines(A,x)
| convergent_lines(A,y) ),
inference(resolution,[status(thm)],[182349880,182311696]),
[] ).
fof(ceq3,plain,
! [A,B,C] :
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),
[] ).
cnf(171212864,plain,
( ~ convergent_lines(A,B)
| distinct_lines(B,C)
| convergent_lines(A,C) ),
inference(rewrite,[status(thm)],[ceq3]),
[] ).
cnf(171252296,plain,
~ distinct_lines(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(183038392,plain,
convergent_lines(A,y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182379152,171212864,171252296]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[183038392,171115520]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ax6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),[]).
%
% cnf(171137680,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[ax6]),[]).
%
% fof(apart3,plain,(~convergent_lines(A,A)),file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),[]).
%
% cnf(171115520,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
%
% cnf(182311696,plain,(~convergent_lines(A,B)|convergent_lines(B,A)),inference(resolution,[status(thm)],[171137680,171115520]),[]).
%
% fof(con,plain,((convergent_lines(x,y)&~distinct_lines(x,y))),file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),[]).
%
% cnf(171260928,plain,(convergent_lines(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(181695096,plain,(convergent_lines(x,A)|convergent_lines(y,A)),inference(resolution,[status(thm)],[171137680,171260928]),[]).
%
% cnf(182349880,plain,(convergent_lines(A,x)|convergent_lines(y,A)),inference(resolution,[status(thm)],[182311696,181695096]),[]).
%
% cnf(182379152,plain,(convergent_lines(A,x)|convergent_lines(A,y)),inference(resolution,[status(thm)],[182349880,182311696]),[]).
%
% fof(ceq3,plain,(~convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C)),file('/tmp/SystemOnTPTP28093/GEO171+1.p',unknown),[]).
%
% cnf(171212864,plain,(~convergent_lines(A,B)|distinct_lines(B,C)|convergent_lines(A,C)),inference(rewrite,[status(thm)],[ceq3]),[]).
%
% cnf(171252296,plain,(~distinct_lines(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(183038392,plain,(convergent_lines(A,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182379152,171212864,171252296]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[183038392,171115520]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------