%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ022-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 15:11:19 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 15 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 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 : 11 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(symmetry_of_borders,plain,
! [A,B] :
( ~ borders(A,B)
| borders(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(159968104,plain,
( ~ borders(A,B)
| borders(B,A) ),
inference(rewrite,[status(thm)],[symmetry_of_borders]),
[] ).
fof(indian_nt,plain,
borders(indian,northern_territory),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(160068512,plain,
borders(indian,northern_territory),
inference(rewrite,[status(thm)],[indian_nt]),
[] ).
cnf(249931408,plain,
borders(northern_territory,indian),
inference(resolution,[status(thm)],[159968104,160068512]),
[] ).
fof(indian,plain,
ocean(indian),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(159977344,plain,
ocean(indian),
inference(rewrite,[status(thm)],[indian]),
[] ).
fof(northern_territory,plain,
state(northern_territory),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(159963912,plain,
state(northern_territory),
inference(rewrite,[status(thm)],[northern_territory]),
[] ).
fof(western_australia,plain,
state(western_australia),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(159994032,plain,
state(western_australia),
inference(rewrite,[status(thm)],[western_australia]),
[] ).
fof(prove_borders,plain,
! [A,B,C] :
( ~ state(A)
| ~ state(B)
| ~ borders(A,B)
| ~ borders(A,C)
| ~ borders(B,C)
| ~ ocean(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(160127176,plain,
( ~ state(A)
| ~ state(B)
| ~ borders(A,B)
| ~ borders(A,C)
| ~ borders(B,C)
| ~ ocean(C) ),
inference(rewrite,[status(thm)],[prove_borders]),
[] ).
fof(wa_nt,plain,
borders(western_australia,northern_territory),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(160021912,plain,
borders(western_australia,northern_territory),
inference(rewrite,[status(thm)],[wa_nt]),
[] ).
cnf(249733544,plain,
( ~ borders(western_australia,A)
| ~ borders(northern_territory,A)
| ~ ocean(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159963912,159994032,160127176,160021912]),
[] ).
fof(indian_wa,plain,
borders(indian,western_australia),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),
[] ).
cnf(160064592,plain,
borders(indian,western_australia),
inference(rewrite,[status(thm)],[indian_wa]),
[] ).
cnf(249927176,plain,
borders(western_australia,indian),
inference(resolution,[status(thm)],[159968104,160064592]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[249931408,159977344,249733544,249927176]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(symmetry_of_borders,plain,(~borders(A,B)|borders(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(159968104,plain,(~borders(A,B)|borders(B,A)),inference(rewrite,[status(thm)],[symmetry_of_borders]),[]).
%
% fof(indian_nt,plain,(borders(indian,northern_territory)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(160068512,plain,(borders(indian,northern_territory)),inference(rewrite,[status(thm)],[indian_nt]),[]).
%
% cnf(249931408,plain,(borders(northern_territory,indian)),inference(resolution,[status(thm)],[159968104,160068512]),[]).
%
% fof(indian,plain,(ocean(indian)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(159977344,plain,(ocean(indian)),inference(rewrite,[status(thm)],[indian]),[]).
%
% fof(northern_territory,plain,(state(northern_territory)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(159963912,plain,(state(northern_territory)),inference(rewrite,[status(thm)],[northern_territory]),[]).
%
% fof(western_australia,plain,(state(western_australia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(159994032,plain,(state(western_australia)),inference(rewrite,[status(thm)],[western_australia]),[]).
%
% fof(prove_borders,plain,(~state(A)|~state(B)|~borders(A,B)|~borders(A,C)|~borders(B,C)|~ocean(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(160127176,plain,(~state(A)|~state(B)|~borders(A,B)|~borders(A,C)|~borders(B,C)|~ocean(C)),inference(rewrite,[status(thm)],[prove_borders]),[]).
%
% fof(wa_nt,plain,(borders(western_australia,northern_territory)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(160021912,plain,(borders(western_australia,northern_territory)),inference(rewrite,[status(thm)],[wa_nt]),[]).
%
% cnf(249733544,plain,(~borders(western_australia,A)|~borders(northern_territory,A)|~ocean(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159963912,159994032,160127176,160021912]),[]).
%
% fof(indian_wa,plain,(borders(indian,western_australia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ022-1.tptp',unknown),[]).
%
% cnf(160064592,plain,(borders(indian,western_australia)),inference(rewrite,[status(thm)],[indian_wa]),[]).
%
% cnf(249927176,plain,(borders(western_australia,indian)),inference(resolution,[status(thm)],[159968104,160064592]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[249931408,159977344,249733544,249927176]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------