TSTP Solution File: SWV332-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV332-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 16:32:16 EDT 2009
% Result : Unsatisfiable 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 21 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 97 ( 52 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 16 con; 0-4 aty)
% Number of variables : 115 ( 31 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SWV332-2.tptp',unknown),
[] ).
cnf(143185424,plain,
c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
fof(cls_Yahalom_Ounique__session__keys_0,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ 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)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| $equal(B,H) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143512192,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ 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)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| $equal(B,H) ),
inference(rewrite,[status(thm)],[cls_Yahalom_Ounique__session__keys_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/SWV332-2.tptp',unknown),
[] ).
cnf(143206640,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_6,plain,
~ c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143557144,plain,
~ c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(165314032,plain,
~ c_in(c_message_omsg_ompair(c_message_omsg_okey(v_k),A),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[143206640,143557144]),
[] ).
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/SWV332-2.tptp',unknown),
[] ).
cnf(143197760,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]),
[] ).
cnf(165407088,plain,
~ c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(c_message_omsg_okey(v_k),A)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[165314032,143197760]),
[] ).
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/SWV332-2.tptp',unknown),
[] ).
cnf(143228352,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_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/SWV332-2.tptp',unknown),
[] ).
cnf(143469192,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_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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/SWV332-2.tptp',unknown),
[] ).
cnf(143544088,plain,
c_in(c_event_oevent_ogets(v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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(175511664,plain,
c_in(c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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)],[143185424,143469192,143544088]),
[] ).
cnf(175570000,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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)],[143206640,175511664]),
[] ).
cnf(175673416,plain,
~ c_in(v_aa,c_event_obad,tc_message_oagent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[165407088,143228352,175570000]),
[] ).
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/SWV332-2.tptp',unknown),
[] ).
cnf(143329936,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__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/SWV332-2.tptp',unknown),
[] ).
cnf(143191056,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(175652456,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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)],[143191056,175570000]),
[] ).
cnf(175738448,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_okey(v_k))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175673416,143185424,143329936,175652456]),
[] ).
cnf(175827944,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,D)))),E)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)
| $equal(v_aa,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[143185424,143512192,175738448]),
[] ).
fof(cls_conjecture_9,plain,
~ c_in(v_b,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143570656,plain,
~ c_in(v_b,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_9]),
[] ).
fof(cls_Yahalom_OB__trusts__YM4__shrK_0,plain,
! [A,B,C,D] :
( ~ 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_okey(D))),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,C,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(c_message_omsg_ononce(v_sko__2ji(C,B,D,A)),c_message_omsg_ononce(v_sko__2jj(C,B,D,A)))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143435072,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_okey(D))),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,C,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(c_message_omsg_ononce(v_sko__2ji(C,B,D,A)),c_message_omsg_ononce(v_sko__2jj(C,B,D,A)))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OB__trusts__YM4__shrK_0]),
[] ).
fof(cls_conjecture_8,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_evs4)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143561952,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_evs4)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_8]),
[] ).
cnf(175478392,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,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_sko__2ji(v_a,v_b,v_k,v_evs4)),c_message_omsg_ononce(v_sko__2jj(v_a,v_b,v_k,v_evs4)))))),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_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[143570656,143185424,143435072,143561952]),
[] ).
cnf(176050232,plain,
$equal(v_aa,v_a),
inference(resolution,[status(thm)],[175827944,175478392]),
[] ).
fof(cls_Yahalom_Ounique__session__keys_1,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ 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)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| $equal(C,I) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143522264,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ 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)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| $equal(C,I) ),
inference(rewrite,[status(thm)],[cls_Yahalom_Ounique__session__keys_1]),
[] ).
cnf(176166280,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,D)))),E)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)
| $equal(B,v_b) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[143185424,143522264,175478392]),
[] ).
fof(cls_conjecture_11,plain,
! [A] :
( ~ $equal(v_x,A)
| ~ $equal(v_ba,v_b)
| ~ $equal(v_aa,v_a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),
[] ).
cnf(143538768,plain,
( ~ $equal(v_x,A)
| ~ $equal(v_ba,v_b)
| ~ $equal(v_aa,v_a) ),
inference(rewrite,[status(thm)],[cls_conjecture_11]),
[] ).
cnf(165193928,plain,
( ~ $equal(v_ba,v_b)
| ~ $equal(v_aa,v_a) ),
inference(equality_resolution,[status(thm)],[143538768]),
[] ).
cnf(176224320,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(v_ba),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(B,C)))),D)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176050232,176166280,165193928]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[176224320,175738448]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143185424,plain,(c_in(v_evs4,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% fof(cls_Yahalom_Ounique__session__keys_0,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|$equal(B,H)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143512192,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~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)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|$equal(B,H)),inference(rewrite,[status(thm)],[cls_Yahalom_Ounique__session__keys_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/SWV332-2.tptp',unknown),[]).
%
% cnf(143206640,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_6,plain,(~c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143557144,plain,(~c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(165314032,plain,(~c_in(c_message_omsg_ompair(c_message_omsg_okey(v_k),A),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[143206640,143557144]),[]).
%
% 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/SWV332-2.tptp',unknown),[]).
%
% cnf(143197760,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]),[]).
%
% cnf(165407088,plain,(~c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(c_message_omsg_okey(v_k),A)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[165314032,143197760]),[]).
%
% 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/SWV332-2.tptp',unknown),[]).
%
% cnf(143228352,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_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/SWV332-2.tptp',unknown),[]).
%
% cnf(143469192,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_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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/SWV332-2.tptp',unknown),[]).
%
% cnf(143544088,plain,(c_in(c_event_oevent_ogets(v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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(175511664,plain,(c_in(c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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)],[143185424,143469192,143544088]),[]).
%
% cnf(175570000,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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)],[143206640,175511664]),[]).
%
% cnf(175673416,plain,(~c_in(v_aa,c_event_obad,tc_message_oagent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165407088,143228352,175570000]),[]).
%
% 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/SWV332-2.tptp',unknown),[]).
%
% cnf(143329936,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__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/SWV332-2.tptp',unknown),[]).
%
% cnf(143191056,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(175652456,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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)],[143191056,175570000]),[]).
%
% cnf(175738448,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),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_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_okey(v_k))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175673416,143185424,143329936,175652456]),[]).
%
% cnf(175827944,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,D)))),E)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)|$equal(v_aa,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[143185424,143512192,175738448]),[]).
%
% fof(cls_conjecture_9,plain,(~c_in(v_b,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143570656,plain,(~c_in(v_b,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_9]),[]).
%
% fof(cls_Yahalom_OB__trusts__YM4__shrK_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_okey(D))),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,C,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(c_message_omsg_ononce(v_sko__2ji(C,B,D,A)),c_message_omsg_ononce(v_sko__2jj(C,B,D,A)))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143435072,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_okey(D))),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,C,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(c_message_omsg_ononce(v_sko__2ji(C,B,D,A)),c_message_omsg_ononce(v_sko__2jj(C,B,D,A)))))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_okey(D))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_Yahalom_OB__trusts__YM4__shrK_0]),[]).
%
% fof(cls_conjecture_8,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_evs4)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143561952,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_evs4)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_8]),[]).
%
% cnf(175478392,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,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_sko__2ji(v_a,v_b,v_k,v_evs4)),c_message_omsg_ononce(v_sko__2jj(v_a,v_b,v_k,v_evs4)))))),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_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[143570656,143185424,143435072,143561952]),[]).
%
% cnf(176050232,plain,($equal(v_aa,v_a)),inference(resolution,[status(thm)],[175827944,175478392]),[]).
%
% fof(cls_Yahalom_Ounique__session__keys_1,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|$equal(C,I)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143522264,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~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)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|$equal(C,I)),inference(rewrite,[status(thm)],[cls_Yahalom_Ounique__session__keys_1]),[]).
%
% cnf(176166280,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(C,D)))),E)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)|$equal(B,v_b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[143185424,143522264,175478392]),[]).
%
% fof(cls_conjecture_11,plain,(~$equal(v_x,A)|~$equal(v_ba,v_b)|~$equal(v_aa,v_a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV332-2.tptp',unknown),[]).
%
% cnf(143538768,plain,(~$equal(v_x,A)|~$equal(v_ba,v_b)|~$equal(v_aa,v_a)),inference(rewrite,[status(thm)],[cls_conjecture_11]),[]).
%
% cnf(165193928,plain,(~$equal(v_ba,v_b)|~$equal(v_aa,v_a)),inference(equality_resolution,[status(thm)],[143538768]),[]).
%
% cnf(176224320,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(v_ba),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(B,C)))),D)),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[176050232,176166280,165193928]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176224320,175738448]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------