%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV364-2 : TPTP v3.4.2. Released v3.2.0.
% 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 16:33:54 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 13 ( 3 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_OMPair__analz_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(B,c_message_oanalz(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),
[] ).
cnf(167714000,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(B,c_message_oanalz(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),
[] ).
fof(cls_conjecture_2,plain,
~ c_in(v_x,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),
[] ).
cnf(167697280,plain,
~ c_in(v_x,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(180924504,plain,
~ c_in(c_message_omsg_ompair(A,v_x),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
inference(resolution,[status(thm)],[167714000,167697280]),
[] ).
fof(cls_conjecture_1,plain,
c_in(v_evs,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),
[] ).
cnf(167688192,plain,
c_in(v_evs,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0,plain,
! [A,B,C] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),
[] ).
cnf(167764600,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]),
[] ).
fof(cls_conjecture_0,plain,
c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),v_y),v_x)),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),
[] ).
cnf(167683720,plain,
c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),v_y),v_x)),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[180924504,167688192,167764600,167683720]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_OMPair__analz_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),[]).
%
% cnf(167714000,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),[]).
%
% fof(cls_conjecture_2,plain,(~c_in(v_x,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),[]).
%
% cnf(167697280,plain,(~c_in(v_x,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(180924504,plain,(~c_in(c_message_omsg_ompair(A,v_x),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(resolution,[status(thm)],[167714000,167697280]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(v_evs,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),[]).
%
% cnf(167688192,plain,(c_in(v_evs,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Yahalom_OGets__imp__analz__Spy__dest_0,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),[]).
%
% cnf(167764600,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Yahalom_OGets__imp__analz__Spy__dest_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),v_y),v_x)),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV364-2.tptp',unknown),[]).
%
% cnf(167683720,plain,(c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),v_y),v_x)),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[180924504,167688192,167764600,167683720]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------