TSTP Solution File: SWV298-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV298-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 16:30:38 EDT 2009

% Result   : Unsatisfiable 0.9s
% Output   : Refutation 0.9s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   32 (  13 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   53 (  28   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  14 con; 0-3 aty)
%            Number of variables   :   68 (  24 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SWV298-2.tptp',unknown),
    [] ).

cnf(153115576,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_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/SWV298-2.tptp',unknown),
    [] ).

cnf(153132408,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(171859120,plain,
    ( c_in(B,c_message_oanalz(C),tc_message_omsg)
    | ~ c_in(c_message_omsg_ompair(D,c_message_omsg_ompair(A,B)),c_message_oanalz(C),tc_message_omsg) ),
    inference(resolution,[status(thm)],[153132408,153132408]),
    [] ).

cnf(172370872,plain,
    ( ~ c_in(c_event_oevent_osays(A,B,c_message_omsg_ompair(F,c_message_omsg_ompair(D,E))),c_list_oset(C,tc_event_oevent),tc_event_oevent)
    | c_in(E,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg) ),
    inference(resolution,[status(thm)],[153115576,171859120]),
    [] ).

fof(cls_conjecture_3,plain,
    c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(c_message_omsg_ononce(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(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153069928,plain,
    c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(c_message_omsg_ononce(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(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_3]),
    [] ).

cnf(174511280,plain,
    c_in(c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(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_evs3)),tc_message_omsg),
    inference(resolution,[status(thm)],[172370872,153069928]),
    [] ).

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/SWV298-2.tptp',unknown),
    [] ).

cnf(153122080,plain,
    ( ~ c_in(A,c_message_oanalz(B),tc_message_omsg)
    | c_in(A,c_message_oparts(B),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]),
    [] ).

cnf(171828816,plain,
    ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
    | c_in(B,c_message_oparts(C),tc_message_omsg) ),
    inference(resolution,[status(thm)],[153132408,153122080]),
    [] ).

cnf(176153920,plain,
    c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(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_evs3)),tc_message_omsg),
    inference(resolution,[status(thm)],[174511280,171828816]),
    [] ).

fof(cls_conjecture_0,plain,
    ~ c_in(v_a,c_event_obad,tc_message_oagent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153055336,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_evs3,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153060824,plain,
    c_in(v_evs3,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
    inference(rewrite,[status(thm)],[cls_conjecture_1]),
    [] ).

fof(cls_OtwayRees_Ounique__NA__dest_0,plain,
    ! [A,B,C,D,E] :
      ( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
      | ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(D)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
      | ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(E)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
      | c_in(B,c_event_obad,tc_message_oagent)
      | $equal(D,E) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153209872,plain,
    ( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
    | ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(D)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
    | ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(E)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
    | c_in(B,c_event_obad,tc_message_oagent)
    | $equal(D,E) ),
    inference(rewrite,[status(thm)],[cls_OtwayRees_Ounique__NA__dest_0]),
    [] ).

fof(cls_Message_OMPair__parts_1,plain,
    ! [A,B,C] :
      ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
      | c_in(A,c_message_oparts(C),tc_message_omsg) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153142552,plain,
    ( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
    | c_in(A,c_message_oparts(C),tc_message_omsg) ),
    inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_1]),
    [] ).

cnf(171913912,plain,
    ( ~ c_in(c_message_omsg_ompair(A,c_message_omsg_ompair(C,D)),c_message_oanalz(B),tc_message_omsg)
    | c_in(C,c_message_oparts(B),tc_message_omsg) ),
    inference(resolution,[status(thm)],[171828816,153142552]),
    [] ).

cnf(172214584,plain,
    ( c_in(C,c_message_oparts(B),tc_message_omsg)
    | ~ c_in(c_message_omsg_ompair(F,c_message_omsg_ompair(E,c_message_omsg_ompair(A,c_message_omsg_ompair(C,D)))),c_message_oanalz(B),tc_message_omsg) ),
    inference(resolution,[status(thm)],[171913912,171859120]),
    [] ).

cnf(173818440,plain,
    ( c_in(B,c_message_oparts(c_event_oknows(c_message_oagent_ospy,H)),tc_message_omsg)
    | ~ c_in(c_event_oevent_osays(F,G,c_message_omsg_ompair(E,c_message_omsg_ompair(D,c_message_omsg_ompair(A,c_message_omsg_ompair(B,C))))),c_list_oset(H,tc_event_oevent),tc_event_oevent) ),
    inference(resolution,[status(thm)],[172214584,153115576]),
    [] ).

fof(cls_conjecture_4,plain,
    c_in(c_event_oevent_osays(v_aa,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153079296,plain,
    c_in(c_event_oevent_osays(v_aa,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
    inference(rewrite,[status(thm)],[cls_conjecture_4]),
    [] ).

cnf(185925952,plain,
    c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg),
    inference(resolution,[status(thm)],[173818440,153079296]),
    [] ).

cnf(187577752,plain,
    ( ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(A)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)
    | $equal(v_ba,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[153055336,153060824,153209872,185925952]),
    [] ).

fof(cls_conjecture_7,plain,
    ! [A] :
      ( ~ $equal(c_message_omsg_ononce(v_nb),A)
      | ~ $equal(v_ba,v_b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),
    [] ).

cnf(153090208,plain,
    ( ~ $equal(c_message_omsg_ononce(v_nb),A)
    | ~ $equal(v_ba,v_b) ),
    inference(rewrite,[status(thm)],[cls_conjecture_7]),
    [] ).

cnf(171814496,plain,
    ~ $equal(v_ba,v_b),
    inference(equality_resolution,[status(thm)],[153090208]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[176153920,187577752,171814496]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% 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/SWV298-2.tptp',unknown),[]).
% 
% cnf(153115576,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_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/SWV298-2.tptp',unknown),[]).
% 
% cnf(153132408,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(171859120,plain,(c_in(B,c_message_oanalz(C),tc_message_omsg)|~c_in(c_message_omsg_ompair(D,c_message_omsg_ompair(A,B)),c_message_oanalz(C),tc_message_omsg)),inference(resolution,[status(thm)],[153132408,153132408]),[]).
% 
% cnf(172370872,plain,(~c_in(c_event_oevent_osays(A,B,c_message_omsg_ompair(F,c_message_omsg_ompair(D,E))),c_list_oset(C,tc_event_oevent),tc_event_oevent)|c_in(E,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,C)),tc_message_omsg)),inference(resolution,[status(thm)],[153115576,171859120]),[]).
% 
% fof(cls_conjecture_3,plain,(c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(c_message_omsg_ononce(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(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153069928,plain,(c_in(c_event_oevent_osays(v_a,v_b,c_message_omsg_ompair(c_message_omsg_ononce(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(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_b)))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
% 
% cnf(174511280,plain,(c_in(c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(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_evs3)),tc_message_omsg)),inference(resolution,[status(thm)],[172370872,153069928]),[]).
% 
% 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/SWV298-2.tptp',unknown),[]).
% 
% cnf(153122080,plain,(~c_in(A,c_message_oanalz(B),tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]),[]).
% 
% cnf(171828816,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oparts(C),tc_message_omsg)),inference(resolution,[status(thm)],[153132408,153122080]),[]).
% 
% cnf(176153920,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(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_evs3)),tc_message_omsg)),inference(resolution,[status(thm)],[174511280,171828816]),[]).
% 
% fof(cls_conjecture_0,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153055336,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_evs3,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153060824,plain,(c_in(v_evs3,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
% 
% fof(cls_OtwayRees_Ounique__NA__dest_0,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(D)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(E)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)|$equal(D,E)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153209872,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(D)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_oagent(E)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|c_in(B,c_event_obad,tc_message_oagent)|$equal(D,E)),inference(rewrite,[status(thm)],[cls_OtwayRees_Ounique__NA__dest_0]),[]).
% 
% fof(cls_Message_OMPair__parts_1,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(A,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153142552,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(A,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_1]),[]).
% 
% cnf(171913912,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ompair(C,D)),c_message_oanalz(B),tc_message_omsg)|c_in(C,c_message_oparts(B),tc_message_omsg)),inference(resolution,[status(thm)],[171828816,153142552]),[]).
% 
% cnf(172214584,plain,(c_in(C,c_message_oparts(B),tc_message_omsg)|~c_in(c_message_omsg_ompair(F,c_message_omsg_ompair(E,c_message_omsg_ompair(A,c_message_omsg_ompair(C,D)))),c_message_oanalz(B),tc_message_omsg)),inference(resolution,[status(thm)],[171913912,171859120]),[]).
% 
% cnf(173818440,plain,(c_in(B,c_message_oparts(c_event_oknows(c_message_oagent_ospy,H)),tc_message_omsg)|~c_in(c_event_oevent_osays(F,G,c_message_omsg_ompair(E,c_message_omsg_ompair(D,c_message_omsg_ompair(A,c_message_omsg_ompair(B,C))))),c_list_oset(H,tc_event_oevent),tc_event_oevent)),inference(resolution,[status(thm)],[172214584,153115576]),[]).
% 
% fof(cls_conjecture_4,plain,(c_in(c_event_oevent_osays(v_aa,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153079296,plain,(c_in(c_event_oevent_osays(v_aa,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))))))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
% 
% cnf(185925952,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(v_ba)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)),inference(resolution,[status(thm)],[173818440,153079296]),[]).
% 
% cnf(187577752,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_oagent(A)))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)|$equal(v_ba,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153055336,153060824,153209872,185925952]),[]).
% 
% fof(cls_conjecture_7,plain,(~$equal(c_message_omsg_ononce(v_nb),A)|~$equal(v_ba,v_b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV298-2.tptp',unknown),[]).
% 
% cnf(153090208,plain,(~$equal(c_message_omsg_ononce(v_nb),A)|~$equal(v_ba,v_b)),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
% 
% cnf(171814496,plain,(~$equal(v_ba,v_b)),inference(equality_resolution,[status(thm)],[153090208]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[176153920,187577752,171814496]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------