TSTP Solution File: SWV353-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV353-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:33:24 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 72 ( 37 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_6,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141561608,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
fof(cls_Yahalom_OSays__unique__NB_0,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L,M] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| $equal(M,F) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141785576,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| $equal(M,F) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OSays__unique__NB_0]),
[] ).
fof(cls_conjecture_2,plain,
c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141537904,plain,
c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(160365048,plain,
( ~ c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),F))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(G,H,c_message_omsg_ompair(I,c_message_omsg_ocrypt(c_public_oshrk(J),c_message_omsg_ompair(c_message_omsg_oagent(K),c_message_omsg_ompair(c_message_omsg_ononce(L),F))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| c_in(F,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)
| $equal(L,E) ),
inference(resolution,[status(thm)],[141785576,141537904]),
[] ).
fof(cls_conjecture_5,plain,
c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141552264,plain,
c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(160466928,plain,
( ~ c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| $equal(v_na,E) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[141561608,160365048,141552264]),
[] ).
fof(cls_Yahalom_OSays__Server__imp__YM2_0,plain,
! [A,B,C,D,E,F,G] :
( ~ 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(D,c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,F))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141680616,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(D,c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,F))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0]),
[] ).
fof(cls_conjecture_3,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_naa),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141543008,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_naa),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(160523760,plain,
c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[141537904,141680616,141543008]),
[] ).
cnf(160738848,plain,
$equal(v_na,v_naa),
inference(resolution,[status(thm)],[160466928,160523760]),
[] ).
cnf(160848696,plain,
( ~ c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| $equal(v_naa,E) ),
inference(paramodulation,[status(thm)],[160738848,160466928,theory(equality)]),
[] ).
fof(cls_conjecture_8,plain,
! [A] :
( ~ $equal(c_message_omsg_okey(v_k),A)
| ~ $equal(v_naa,v_na) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),
[] ).
cnf(141576928,plain,
( ~ $equal(c_message_omsg_okey(v_k),A)
| ~ $equal(v_naa,v_na) ),
inference(rewrite,[status(thm)],[cls_conjecture_8]),
[] ).
cnf(160476384,plain,
~ $equal(v_naa,v_na),
inference(equality_resolution,[status(thm)],[141576928]),
[] ).
cnf(160892040,plain,
~ c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(resolution,[status(thm)],[160848696,160476384]),
[] ).
cnf(160999520,plain,
~ c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(paramodulation,[status(thm)],[160892040,160738848,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160999520,160523760]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_6,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141561608,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% fof(cls_Yahalom_OSays__unique__NB_0,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|$equal(M,F)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141785576,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|$equal(M,F)),inference(rewrite,[status(thm)],[cls_Yahalom_OSays__unique__NB_0]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141537904,plain,(c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(160365048,plain,(~c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),F))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(G,H,c_message_omsg_ompair(I,c_message_omsg_ocrypt(c_public_oshrk(J),c_message_omsg_ompair(c_message_omsg_oagent(K),c_message_omsg_ompair(c_message_omsg_ononce(L),F))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|c_in(F,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)|$equal(L,E)),inference(resolution,[status(thm)],[141785576,141537904]),[]).
%
% fof(cls_conjecture_5,plain,(c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141552264,plain,(c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(160466928,plain,(~c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|$equal(v_na,E)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141561608,160365048,141552264]),[]).
%
% fof(cls_Yahalom_OSays__Server__imp__YM2_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(D,c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,F))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141680616,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(D,c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,F))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_Yahalom_OSays__Server__imp__YM2_0]),[]).
%
% fof(cls_conjecture_3,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_naa),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141543008,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_naa),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(160523760,plain,(c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[141537904,141680616,141543008]),[]).
%
% cnf(160738848,plain,($equal(v_na,v_naa)),inference(resolution,[status(thm)],[160466928,160523760]),[]).
%
% cnf(160848696,plain,(~c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|$equal(v_naa,E)),inference(paramodulation,[status(thm)],[160738848,160466928,theory(equality)]),[]).
%
% fof(cls_conjecture_8,plain,(~$equal(c_message_omsg_okey(v_k),A)|~$equal(v_naa,v_na)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV353-2.tptp',unknown),[]).
%
% cnf(141576928,plain,(~$equal(c_message_omsg_okey(v_k),A)|~$equal(v_naa,v_na)),inference(rewrite,[status(thm)],[cls_conjecture_8]),[]).
%
% cnf(160476384,plain,(~$equal(v_naa,v_na)),inference(equality_resolution,[status(thm)],[141576928]),[]).
%
% cnf(160892040,plain,(~c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(resolution,[status(thm)],[160848696,160476384]),[]).
%
% cnf(160999520,plain,(~c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(paramodulation,[status(thm)],[160892040,160738848,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160999520,160523760]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------