TSTP Solution File: SWV288-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV288-2 : 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 16:30:15 EDT 2009

% Result   : Unsatisfiable 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (  15 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   34 (  20   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-5 aty)
%            Number of variables   :   35 (   9 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_1,plain,
    c_in(c_event_oevent_osays(v_b_h,v_a,c_message_omsg_ompair(v_na,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164335112,plain,
    c_in(c_event_oevent_osays(v_b_h,v_a,c_message_omsg_ompair(v_na,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

fof(cls_Event_OSays__imp__analz__Spy__dest_0,plain,
    ! [A,B,C,D] :
      ( ~ c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)
      | c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,D)),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164382864,plain,
    ( ~ c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)
    | c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,D)),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_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/SWV288-2.tptp',unknown),
    [] ).

cnf(164403768,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]),
    [] ).

fof(cls_Message_OMPair__parts_0,plain,
    ! [A,B,C] :
      ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
      | c_in(B,c_message_oparts(C),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164393432,plain,
    ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
    | c_in(B,c_message_oparts(C),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_0]),
    [] ).

fof(cls_conjecture_2,plain,
    ~ c_in(v_a,c_event_obad,tc_message_oagent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164340096,plain,
    ~ c_in(v_a,c_event_obad,tc_message_oagent),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

fof(cls_conjecture_0,plain,
    c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164325952,plain,
    c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

fof(cls_conjecture_3,plain,
    c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164348776,plain,
    c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
    inference(rewrite,[status(thm)],[cls_conjecture_3]),
    [] ).

fof(cls_OtwayRees_ONA__Crypt__imp__Server__msg_0,plain,
    ! [A,B,C,D,E] :
      ( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
      | ~ c_in(c_event_oevent_osays(B,C,c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(C)))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
      | ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),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(D,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(v_sko__u7f(B,C,E,D,A),c_message_omsg_okey(E)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164565712,plain,
    ( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
    | ~ c_in(c_event_oevent_osays(B,C,c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(C)))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
    | ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),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(D,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(v_sko__u7f(B,C,E,D,A),c_message_omsg_okey(E)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
    inference(rewrite,[status(thm)],[cls_OtwayRees_ONA__Crypt__imp__Server__msg_0]),
    [] ).

fof(cls_conjecture_4,plain,
    ! [A] : ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(A,c_message_omsg_okey(v_k)))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),
    [] ).

cnf(164353592,plain,
    ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(A,c_message_omsg_okey(v_k)))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_4]),
    [] ).

cnf(183358696,plain,
    ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164340096,164325952,164348776,164565712,164353592]),
    [] ).

cnf(189363008,plain,
    ~ c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
    inference(resolution,[status(thm)],[164393432,183358696]),
    [] ).

cnf(189405312,plain,
    ~ c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k)))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
    inference(resolution,[status(thm)],[164403768,189363008]),
    [] ).

cnf(189487752,plain,
    ~ c_in(c_event_oevent_osays(A,B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
    inference(resolution,[status(thm)],[164382864,189405312]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[164335112,189487752]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_1,plain,(c_in(c_event_oevent_osays(v_b_h,v_a,c_message_omsg_ompair(v_na,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164335112,plain,(c_in(c_event_oevent_osays(v_b_h,v_a,c_message_omsg_ompair(v_na,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% fof(cls_Event_OSays__imp__analz__Spy__dest_0,plain,(~c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,D)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164382864,plain,(~c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,D)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Event_OSays__imp__analz__Spy__dest_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/SWV288-2.tptp',unknown),[]).
% 
% cnf(164403768,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]),[]).
% 
% fof(cls_Message_OMPair__parts_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164393432,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_0]),[]).
% 
% fof(cls_conjecture_2,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164340096,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% fof(cls_conjecture_0,plain,(c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164325952,plain,(c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% fof(cls_conjecture_3,plain,(c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164348776,plain,(c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
% 
% fof(cls_OtwayRees_ONA__Crypt__imp__Server__msg_0,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(B,C,c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(C)))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),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(D,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(v_sko__u7f(B,C,E,D,A),c_message_omsg_okey(E)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164565712,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(B,C,c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(C)))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),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(D,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(D,c_message_omsg_okey(E))),c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(v_sko__u7f(B,C,E,D,A),c_message_omsg_okey(E)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_OtwayRees_ONA__Crypt__imp__Server__msg_0]),[]).
% 
% fof(cls_conjecture_4,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(A,c_message_omsg_okey(v_k)))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV288-2.tptp',unknown),[]).
% 
% cnf(164353592,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(A,c_message_omsg_okey(v_k)))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
% 
% cnf(183358696,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164340096,164325952,164348776,164565712,164353592]),[]).
% 
% cnf(189363008,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(resolution,[status(thm)],[164393432,183358696]),[]).
% 
% cnf(189405312,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k)))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(resolution,[status(thm)],[164403768,189363008]),[]).
% 
% cnf(189487752,plain,(~c_in(c_event_oevent_osays(A,B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(resolution,[status(thm)],[164382864,189405312]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[164335112,189487752]),[]).
% 
% END OF PROOF SEQUENCE
% 
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