%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ008-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 15:10:11 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(extra_cannibal_meal_on_east_bank,plain,
! [A,B,C,D] : achievable(west(A,B),C,east(m(s(D)),c(s(s(D))))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ008-1.tptp',unknown),
[] ).
cnf(161557592,plain,
achievable(west(A,B),C,east(m(s(D)),c(s(s(D))))),
inference(rewrite,[status(thm)],[extra_cannibal_meal_on_east_bank]),
[] ).
fof(missionary_west_to_east,plain,
! [A,B,C,D] :
( ~ achievable(west(m(s(A)),c(B)),boatonwest,east(m(C),c(D)))
| achievable(west(m(A),c(B)),boatoneast,east(m(s(C)),c(D))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ008-1.tptp',unknown),
[] ).
cnf(161504448,plain,
( ~ achievable(west(m(s(A)),c(B)),boatonwest,east(m(C),c(D)))
| achievable(west(m(A),c(B)),boatoneast,east(m(s(C)),c(D))) ),
inference(rewrite,[status(thm)],[missionary_west_to_east]),
[] ).
fof(prove_can_get_to_east_bank,plain,
! [A] : ~ achievable(west(m(n0),c(n0)),A,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ008-1.tptp',unknown),
[] ).
cnf(161573672,plain,
~ achievable(west(m(n0),c(n0)),A,east(m(s(s(s(n0)))),c(s(s(s(n0)))))),
inference(rewrite,[status(thm)],[prove_can_get_to_east_bank]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[161557592,161504448,161573672]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(extra_cannibal_meal_on_east_bank,plain,(achievable(west(A,B),C,east(m(s(D)),c(s(s(D)))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ008-1.tptp',unknown),[]).
%
% cnf(161557592,plain,(achievable(west(A,B),C,east(m(s(D)),c(s(s(D)))))),inference(rewrite,[status(thm)],[extra_cannibal_meal_on_east_bank]),[]).
%
% fof(missionary_west_to_east,plain,(~achievable(west(m(s(A)),c(B)),boatonwest,east(m(C),c(D)))|achievable(west(m(A),c(B)),boatoneast,east(m(s(C)),c(D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ008-1.tptp',unknown),[]).
%
% cnf(161504448,plain,(~achievable(west(m(s(A)),c(B)),boatonwest,east(m(C),c(D)))|achievable(west(m(A),c(B)),boatoneast,east(m(s(C)),c(D)))),inference(rewrite,[status(thm)],[missionary_west_to_east]),[]).
%
% fof(prove_can_get_to_east_bank,plain,(~achievable(west(m(n0),c(n0)),A,east(m(s(s(s(n0)))),c(s(s(s(n0))))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ008-1.tptp',unknown),[]).
%
% cnf(161573672,plain,(~achievable(west(m(n0),c(n0)),A,east(m(s(s(s(n0)))),c(s(s(s(n0))))))),inference(rewrite,[status(thm)],[prove_can_get_to_east_bank]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[161557592,161504448,161573672]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------