%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO208+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 12:01:50 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 18 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(apart6,plain,
! [A,B,C] :
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),
[] ).
cnf(163777272,plain,
( ~ convergent_lines(A,B)
| convergent_lines(A,C)
| convergent_lines(B,C) ),
inference(rewrite,[status(thm)],[apart6]),
[] ).
fof(apart3,plain,
! [A] : ~ convergent_lines(A,A),
file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),
[] ).
cnf(163750928,plain,
~ convergent_lines(A,A),
inference(rewrite,[status(thm)],[apart3]),
[] ).
cnf(179828992,plain,
( ~ convergent_lines(A,B)
| convergent_lines(B,A) ),
inference(resolution,[status(thm)],[163777272,163750928]),
[] ).
fof(con,plain,
( ~ apart_point_and_line(x,y)
& ~ apart_point_and_line(x,z)
& ~ convergent_lines(y,z)
& distinct_lines(y,z) ),
file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),
[] ).
cnf(163960152,plain,
~ convergent_lines(y,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(179838504,plain,
~ convergent_lines(z,y),
inference(resolution,[status(thm)],[179828992,163960152]),
[] ).
fof(apart5,plain,
! [A,B,C] :
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),
[] ).
cnf(163765800,plain,
( ~ distinct_lines(A,B)
| distinct_lines(A,C)
| distinct_lines(B,C) ),
inference(rewrite,[status(thm)],[apart5]),
[] ).
fof(apart2,plain,
! [A] : ~ distinct_lines(A,A),
file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),
[] ).
cnf(163746192,plain,
~ distinct_lines(A,A),
inference(rewrite,[status(thm)],[apart2]),
[] ).
cnf(179790248,plain,
( ~ distinct_lines(A,B)
| distinct_lines(B,A) ),
inference(resolution,[status(thm)],[163765800,163746192]),
[] ).
cnf(163952904,plain,
distinct_lines(y,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(179803712,plain,
distinct_lines(z,y),
inference(resolution,[status(thm)],[179790248,163952904]),
[] ).
fof(cup1,plain,
! [B,C,A] :
( ~ distinct_lines(B,C)
| apart_point_and_line(A,B)
| apart_point_and_line(A,C)
| convergent_lines(B,C) ),
file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),
[] ).
cnf(163887208,plain,
( ~ distinct_lines(B,C)
| apart_point_and_line(A,B)
| apart_point_and_line(A,C)
| convergent_lines(B,C) ),
inference(rewrite,[status(thm)],[cup1]),
[] ).
cnf(163967208,plain,
~ apart_point_and_line(x,z),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(179889312,plain,
( ~ distinct_lines(z,A)
| apart_point_and_line(x,A)
| convergent_lines(z,A) ),
inference(resolution,[status(thm)],[163887208,163967208]),
[] ).
cnf(163951240,plain,
~ apart_point_and_line(x,y),
inference(rewrite,[status(thm)],[con]),
[] ).
cnf(180007224,plain,
convergent_lines(z,y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179803712,179889312,163951240]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[179838504,180007224]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(apart6,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),[]).
%
% cnf(163777272,plain,(~convergent_lines(A,B)|convergent_lines(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[apart6]),[]).
%
% fof(apart3,plain,(~convergent_lines(A,A)),file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),[]).
%
% cnf(163750928,plain,(~convergent_lines(A,A)),inference(rewrite,[status(thm)],[apart3]),[]).
%
% cnf(179828992,plain,(~convergent_lines(A,B)|convergent_lines(B,A)),inference(resolution,[status(thm)],[163777272,163750928]),[]).
%
% fof(con,plain,((~apart_point_and_line(x,y)&~apart_point_and_line(x,z)&~convergent_lines(y,z)&distinct_lines(y,z))),file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),[]).
%
% cnf(163960152,plain,(~convergent_lines(y,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(179838504,plain,(~convergent_lines(z,y)),inference(resolution,[status(thm)],[179828992,163960152]),[]).
%
% fof(apart5,plain,(~distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C)),file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),[]).
%
% cnf(163765800,plain,(~distinct_lines(A,B)|distinct_lines(A,C)|distinct_lines(B,C)),inference(rewrite,[status(thm)],[apart5]),[]).
%
% fof(apart2,plain,(~distinct_lines(A,A)),file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),[]).
%
% cnf(163746192,plain,(~distinct_lines(A,A)),inference(rewrite,[status(thm)],[apart2]),[]).
%
% cnf(179790248,plain,(~distinct_lines(A,B)|distinct_lines(B,A)),inference(resolution,[status(thm)],[163765800,163746192]),[]).
%
% cnf(163952904,plain,(distinct_lines(y,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(179803712,plain,(distinct_lines(z,y)),inference(resolution,[status(thm)],[179790248,163952904]),[]).
%
% fof(cup1,plain,(~distinct_lines(B,C)|apart_point_and_line(A,B)|apart_point_and_line(A,C)|convergent_lines(B,C)),file('/tmp/SystemOnTPTP28892/GEO208+2.p',unknown),[]).
%
% cnf(163887208,plain,(~distinct_lines(B,C)|apart_point_and_line(A,B)|apart_point_and_line(A,C)|convergent_lines(B,C)),inference(rewrite,[status(thm)],[cup1]),[]).
%
% cnf(163967208,plain,(~apart_point_and_line(x,z)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(179889312,plain,(~distinct_lines(z,A)|apart_point_and_line(x,A)|convergent_lines(z,A)),inference(resolution,[status(thm)],[163887208,163967208]),[]).
%
% cnf(163951240,plain,(~apart_point_and_line(x,y)),inference(rewrite,[status(thm)],[con]),[]).
%
% cnf(180007224,plain,(convergent_lines(z,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179803712,179889312,163951240]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[179838504,180007224]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------