TSTP Solution File: SWV291-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV291-2 : 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 16:30:23 EDT 2009

% Result   : Unsatisfiable 0.5s
% Output   : Refutation 0.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (  16 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  20   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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;  11 con; 0-3 aty)
%            Number of variables   :   28 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_0,plain,
    ~ c_in(v_a,c_event_obad,tc_message_oagent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168623696,plain,
    ~ c_in(v_a,c_event_obad,tc_message_oagent),
    inference(rewrite,[status(thm)],[cls_conjecture_0]),
    [] ).

fof(cls_conjecture_1,plain,
    c_in(v_evsf,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168629120,plain,
    c_in(v_evsf,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

fof(cls_OtwayRees_OSpy__see__shrK__D__dest_0,plain,
    ! [A,B] :
      ( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
      | ~ c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
      | c_in(B,c_event_obad,tc_message_oagent) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168776264,plain,
    ( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
    | ~ c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
    | c_in(B,c_event_obad,tc_message_oagent) ),
    inference(rewrite,[status(thm)],[cls_OtwayRees_OSpy__see__shrK__D__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/SWV291-2.tptp',unknown),
    [] ).

cnf(168725712,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_conjecture_5,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_evsf,tc_event_oevent),tc_event_oevent)
    | ~ c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

fof(cls_conjecture_4,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_evsf,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168651448,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_evsf,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_4]),
    [] ).

cnf(168660712,plain,
    ~ c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[cls_conjecture_5,168651448]),
    [] ).

fof(cls_Message_OCrypt__synth_0,plain,
    ! [A,B,C] :
      ( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
      | c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
      | c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168674792,plain,
    ( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
    | c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
    | c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_0]),
    [] ).

fof(cls_Set_OUnE_0,plain,
    ! [A,B,C,D] :
      ( ~ c_in(A,c_union(B,C,D),D)
      | c_in(A,C,D)
      | c_in(A,B,D) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168789304,plain,
    ( ~ c_in(A,c_union(B,C,D),D)
    | c_in(A,C,D)
    | c_in(A,B,D) ),
    inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),
    [] ).

fof(cls_conjecture_2,plain,
    c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168633752,plain,
    c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_2]),
    [] ).

fof(cls_Message_OFake__parts__insert__in__Un__dest_0,plain,
    ! [A,B,C] :
      ( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
      | ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
      | c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168715032,plain,
    ( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
    | ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
    | c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),
    [] ).

fof(cls_conjecture_3,plain,
    c_in(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_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),
    [] ).

cnf(168642656,plain,
    c_in(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_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg),
    inference(rewrite,[status(thm)],[cls_conjecture_3]),
    [] ).

cnf(204544888,plain,
    c_in(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_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168633752,168715032,168642656]),
    [] ).

cnf(204559088,plain,
    ( c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
    | c_in(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_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg) ),
    inference(resolution,[status(thm)],[168789304,204544888]),
    [] ).

cnf(204576688,plain,
    c_in(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_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
    inference(resolution,[status(thm)],[168660712,204559088]),
    [] ).

cnf(204586064,plain,
    ( c_in(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_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
    | c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg) ),
    inference(resolution,[status(thm)],[168674792,204576688]),
    [] ).

cnf(204630808,plain,
    ( c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
    | c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg) ),
    inference(resolution,[status(thm)],[168725712,204586064]),
    [] ).

cnf(204659056,plain,
    c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
    inference(resolution,[status(thm)],[168660712,204630808]),
    [] ).

cnf(204668760,plain,
    c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
    inference(resolution,[status(thm)],[168725712,204659056]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168623696,168629120,168776264,204668760]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168623696,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
% 
% fof(cls_conjecture_1,plain,(c_in(v_evsf,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168629120,plain,(c_in(v_evsf,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% fof(cls_OtwayRees_OSpy__see__shrK__D__dest_0,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168776264,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_okey(c_public_oshrk(B)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_OtwayRees_OSpy__see__shrK__D__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/SWV291-2.tptp',unknown),[]).
% 
% cnf(168725712,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_conjecture_5,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_evsf,tc_event_oevent),tc_event_oevent)|~c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% fof(cls_conjecture_4,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_evsf,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168651448,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_evsf,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
% 
% cnf(168660712,plain,(~c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[cls_conjecture_5,168651448]),[]).
% 
% fof(cls_Message_OCrypt__synth_0,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168674792,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_0]),[]).
% 
% fof(cls_Set_OUnE_0,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168789304,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),[]).
% 
% fof(cls_conjecture_2,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168633752,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
% 
% fof(cls_Message_OFake__parts__insert__in__Un__dest_0,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168715032,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),[]).
% 
% fof(cls_conjecture_3,plain,(c_in(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_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV291-2.tptp',unknown),[]).
% 
% cnf(168642656,plain,(c_in(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_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
% 
% cnf(204544888,plain,(c_in(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_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[168633752,168715032,168642656]),[]).
% 
% cnf(204559088,plain,(c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(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_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[168789304,204544888]),[]).
% 
% cnf(204576688,plain,(c_in(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_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[168660712,204559088]),[]).
% 
% cnf(204586064,plain,(c_in(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_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[168674792,204576688]),[]).
% 
% cnf(204630808,plain,(c_in(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_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[168725712,204586064]),[]).
% 
% cnf(204659056,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[168660712,204630808]),[]).
% 
% cnf(204668760,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[168725712,204659056]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168623696,168629120,168776264,204668760]),[]).
% 
% END OF PROOF SEQUENCE
% 
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