%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV329-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:32:06 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 28 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_5,plain,
~ c_in(v_b,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174002640,plain,
~ c_in(v_b,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
fof(cls_conjecture_6,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174011328,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
fof(cls_Message_Oanalz__conj__parts_0,plain,
! [A,B] :
( ~ c_in(A,c_message_oanalz(B),tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174076592,plain,
( ~ c_in(A,c_message_oanalz(B),tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__conj__parts_0]),
[] ).
cnf(192763120,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
inference(resolution,[status(thm)],[174011328,174076592]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_evsf,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(173983976,plain,
c_in(v_evsf,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
fof(cls_Yahalom_OSpy__analz__shrK_0,plain,
! [A,B] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(B,c_event_obad,tc_message_oagent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174135632,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(B,c_event_obad,tc_message_oagent) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OSpy__analz__shrK_0]),
[] ).
fof(cls_Message_OCrypt__synth__eq_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174025808,plain,
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth__eq_0]),
[] ).
fof(cls_Set_OUn__iff_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174093512,plain,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__iff_0]),
[] ).
fof(cls_conjecture_1,plain,
c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(173988584,plain,
c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Message_OFake__parts__insert__in__Un__dest_0,plain,
! [A,B,C] :
( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
| ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(174065976,plain,
( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
| ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),
[] ).
fof(cls_conjecture_4,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),
[] ).
cnf(173997512,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(204726216,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173988584,174065976,173997512]),
[] ).
cnf(204740192,plain,
( c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg) ),
inference(resolution,[status(thm)],[174093512,204726216]),
[] ).
cnf(204755440,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
inference(resolution,[status(thm)],[174011328,204740192]),
[] ).
cnf(204764912,plain,
( c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
| c_in(c_message_omsg_okey(c_public_oshrk(v_b)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg) ),
inference(resolution,[status(thm)],[174025808,204755440]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174002640,192763120,173983976,174135632,204764912]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_5,plain,(~c_in(v_b,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174002640,plain,(~c_in(v_b,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% fof(cls_conjecture_6,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174011328,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% fof(cls_Message_Oanalz__conj__parts_0,plain,(~c_in(A,c_message_oanalz(B),tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174076592,plain,(~c_in(A,c_message_oanalz(B),tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oanalz__conj__parts_0]),[]).
%
% cnf(192763120,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[174011328,174076592]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_evsf,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(173983976,plain,(c_in(v_evsf,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_Yahalom_OSpy__analz__shrK_0,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174135632,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_Yahalom_OSpy__analz__shrK_0]),[]).
%
% fof(cls_Message_OCrypt__synth__eq_0,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174025808,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth__eq_0]),[]).
%
% fof(cls_Set_OUn__iff_0,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174093512,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),inference(rewrite,[status(thm)],[cls_Set_OUn__iff_0]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(173988584,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Message_OFake__parts__insert__in__Un__dest_0,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(174065976,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),[]).
%
% fof(cls_conjecture_4,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV329-2.tptp',unknown),[]).
%
% cnf(173997512,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(204726216,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173988584,174065976,173997512]),[]).
%
% cnf(204740192,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[174093512,204726216]),[]).
%
% cnf(204755440,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[174011328,204740192]),[]).
%
% cnf(204764912,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(c_message_omsg_okey(c_public_oshrk(v_b)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[174025808,204755440]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174002640,192763120,173983976,174135632,204764912]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------