TSTP Solution File: SWV337-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV337-2 : TPTP v3.4.2. Released v3.2.0.
% 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 16:32:35 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 16 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-3 aty)
% Number of variables : 52 ( 10 sgn 23 !; 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/SWV337-2.tptp',unknown),
[] ).
cnf(142691040,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_6,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142667200,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(158772752,plain,
~ c_in(c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[142691040,142667200]),
[] ).
cnf(158926296,plain,
~ c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[158772752,142691040]),
[] ).
cnf(159100392,plain,
~ c_in(c_message_omsg_ompair(C,c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[158926296,142691040]),
[] ).
fof(cls_Public_OCrypt__Spy__analz__bad_0,plain,
! [A,B,C] :
( ~ c_in(A,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(A),B),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)
| c_in(B,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142731912,plain,
( ~ c_in(A,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(A),B),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)
| c_in(B,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Public_OCrypt__Spy__analz__bad_0]),
[] ).
fof(cls_Message_OMPair__analz_1,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(A,c_message_oanalz(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142696008,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(A,c_message_oanalz(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_1]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142652464,plain,
c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
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/SWV337-2.tptp',unknown),
[] ).
cnf(142855560,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_3,plain,
c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142657488,plain,
c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(168247056,plain,
c_in(c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(forward_subsumption_resolution__resolution,[status(thm)],[142652464,142855560,142657488]),
[] ).
cnf(168291504,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[142696008,168247056]),
[] ).
cnf(168362472,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159100392,142731912,168291504]),
[] ).
fof(cls_conjecture_8,plain,
! [A,B,C] : ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(C),c_message_omsg_ononce(v_nb))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(A),c_message_omsg_okey(v_k))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142676376,plain,
~ c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(C),c_message_omsg_ononce(v_nb))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(A),c_message_omsg_okey(v_k))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_8]),
[] ).
fof(cls_Yahalom_OA__trusts__YM3_0,plain,
! [A,B,C,D,E,F] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(B,c_event_obad,tc_message_oagent)
| c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),
[] ).
cnf(142821024,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(B,c_event_obad,tc_message_oagent)
| c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OA__trusts__YM3_0]),
[] ).
fof(cls_Message_Oanalz__into__parts__dest_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/SWV337-2.tptp',unknown),
[] ).
cnf(142701096,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__into__parts__dest_0]),
[] ).
cnf(168339720,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[142701096,168291504]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[168362472,142676376,142652464,142821024,168339720]),
[] ).
%------------------------------------------------------------------------------
%----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/SWV337-2.tptp',unknown),[]).
%
% cnf(142691040,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_6,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142667200,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(158772752,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[142691040,142667200]),[]).
%
% cnf(158926296,plain,(~c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[158772752,142691040]),[]).
%
% cnf(159100392,plain,(~c_in(c_message_omsg_ompair(C,c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[158926296,142691040]),[]).
%
% fof(cls_Public_OCrypt__Spy__analz__bad_0,plain,(~c_in(A,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(A),B),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)|c_in(B,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142731912,plain,(~c_in(A,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(A),B),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)|c_in(B,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Public_OCrypt__Spy__analz__bad_0]),[]).
%
% fof(cls_Message_OMPair__analz_1,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(A,c_message_oanalz(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142696008,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(A,c_message_oanalz(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_1]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142652464,plain,(c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% 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/SWV337-2.tptp',unknown),[]).
%
% cnf(142855560,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_3,plain,(c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142657488,plain,(c_in(c_event_oevent_ogets(v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(168247056,plain,(c_in(c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[142652464,142855560,142657488]),[]).
%
% cnf(168291504,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[142696008,168247056]),[]).
%
% cnf(168362472,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159100392,142731912,168291504]),[]).
%
% fof(cls_conjecture_8,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(C),c_message_omsg_ononce(v_nb))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(A),c_message_omsg_okey(v_k))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142676376,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(C),c_message_omsg_ononce(v_nb))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(A),c_message_omsg_okey(v_k))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_8]),[]).
%
% fof(cls_Yahalom_OA__trusts__YM3_0,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)|c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV337-2.tptp',unknown),[]).
%
% cnf(142821024,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)|c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_Yahalom_OA__trusts__YM3_0]),[]).
%
% fof(cls_Message_Oanalz__into__parts__dest_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/SWV337-2.tptp',unknown),[]).
%
% cnf(142701096,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__into__parts__dest_0]),[]).
%
% cnf(168339720,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[142701096,168291504]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168362472,142676376,142652464,142821024,168339720]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------