TSTP Solution File: SWV290-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV290-2 : 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 16:30:19 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 50 ( 9 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_0,plain,
c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,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_ompair(v_x_h,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_nb,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/SWV290-2.tptp',unknown),
[] ).
cnf(163132328,plain,
c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,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_ompair(v_x_h,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_nb,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_2,plain,
~ c_in(v_b,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV290-2.tptp',unknown),
[] ).
cnf(163151128,plain,
~ c_in(v_b,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_OtwayRees_OGets__imp__Says__dest_0,plain,
! [A,B,C] :
( ~ c_in(A,c_otwayrees_ootway,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_event_oevent_osays(v_sko__usf(B,C,A),B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV290-2.tptp',unknown),
[] ).
cnf(163256728,plain,
( ~ c_in(A,c_otwayrees_ootway,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_event_oevent_osays(v_sko__usf(B,C,A),B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(rewrite,[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_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/SWV290-2.tptp',unknown),
[] ).
cnf(163155816,plain,
c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(183762992,plain,
( ~ c_in(c_event_oevent_ogets(A,B),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)
| c_in(c_event_oevent_osays(v_sko__usf(A,B,v_evs),A,B),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent) ),
inference(resolution,[status(thm)],[163256728,163155816]),
[] ).
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/SWV290-2.tptp',unknown),
[] ).
cnf(163189984,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]),
[] ).
cnf(183906936,plain,
( ~ c_in(c_event_oevent_ogets(A,B),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)
| c_in(B,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg) ),
inference(resolution,[status(thm)],[183762992,163189984]),
[] ).
fof(cls_conjecture_1,plain,
c_in(c_event_oevent_ogets(v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,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/SWV290-2.tptp',unknown),
[] ).
cnf(163141744,plain,
c_in(c_event_oevent_ogets(v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,c_message_omsg_okey(v_k)))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(184031984,plain,
c_in(c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,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)],[183906936,163141744]),
[] ).
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/SWV290-2.tptp',unknown),
[] ).
cnf(163200680,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]),
[] ).
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/SWV290-2.tptp',unknown),
[] ).
cnf(163206992,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(182196448,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)],[163200680,163206992]),
[] ).
cnf(182235208,plain,
( c_in(B,c_message_oparts(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)],[182196448,163200680]),
[] ).
cnf(184238232,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,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)],[184031984,182235208]),
[] ).
fof(cls_OtwayRees_ONB__Crypt__imp__Server__msg_0,plain,
! [A,B,C,D,E,F,G] :
( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_osays(B,c_message_oagent_oserver,c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(F,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_oagent(B)))))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G))),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,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(C,c_message_omsg_okey(G))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV290-2.tptp',unknown),
[] ).
cnf(163433024,plain,
( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_osays(B,c_message_oagent_oserver,c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(F,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_oagent(B)))))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G))),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,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(C,c_message_omsg_okey(G))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(rewrite,[status(thm)],[cls_OtwayRees_ONB__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(v_nb,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/SWV290-2.tptp',unknown),
[] ).
cnf(163164768,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(v_nb,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(189301424,plain,
~ c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,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_ompair(A,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_nb,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(forward_subsumption_resolution__resolution,[status(thm)],[163151128,184238232,163155816,163433024,163164768]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[163132328,189301424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_0,plain,(c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,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_ompair(v_x_h,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_nb,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/SWV290-2.tptp',unknown),[]).
%
% cnf(163132328,plain,(c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,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_ompair(v_x_h,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_nb,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_2,plain,(~c_in(v_b,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV290-2.tptp',unknown),[]).
%
% cnf(163151128,plain,(~c_in(v_b,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_OtwayRees_OGets__imp__Says__dest_0,plain,(~c_in(A,c_otwayrees_ootway,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_event_oevent_osays(v_sko__usf(B,C,A),B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV290-2.tptp',unknown),[]).
%
% cnf(163256728,plain,(~c_in(A,c_otwayrees_ootway,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_event_oevent_osays(v_sko__usf(B,C,A),B,C),c_list_oset(A,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_OtwayRees_OGets__imp__Says__dest_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/SWV290-2.tptp',unknown),[]).
%
% cnf(163155816,plain,(c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(183762992,plain,(~c_in(c_event_oevent_ogets(A,B),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)|c_in(c_event_oevent_osays(v_sko__usf(A,B,v_evs),A,B),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(resolution,[status(thm)],[163256728,163155816]),[]).
%
% 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/SWV290-2.tptp',unknown),[]).
%
% cnf(163189984,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]),[]).
%
% cnf(183906936,plain,(~c_in(c_event_oevent_ogets(A,B),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)|c_in(B,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(resolution,[status(thm)],[183762992,163189984]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(c_event_oevent_ogets(v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,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/SWV290-2.tptp',unknown),[]).
%
% cnf(163141744,plain,(c_in(c_event_oevent_ogets(v_b,c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,c_message_omsg_okey(v_k)))))),c_list_oset(v_evs,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(184031984,plain,(c_in(c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,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)],[183906936,163141744]),[]).
%
% 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/SWV290-2.tptp',unknown),[]).
%
% cnf(163200680,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]),[]).
%
% 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/SWV290-2.tptp',unknown),[]).
%
% cnf(163206992,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(182196448,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)],[163200680,163206992]),[]).
%
% cnf(182235208,plain,(c_in(B,c_message_oparts(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)],[182196448,163200680]),[]).
%
% cnf(184238232,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_nb,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)],[184031984,182235208]),[]).
%
% fof(cls_OtwayRees_ONB__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_message_oagent_oserver,c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(F,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_oagent(B)))))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G))),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,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(C,c_message_omsg_okey(G))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV290-2.tptp',unknown),[]).
%
% cnf(163433024,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(B,c_message_oagent_oserver,c_message_omsg_ompair(C,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(E,c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(C,c_message_omsg_ompair(F,c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_oagent(B)))))))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G))),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,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(C,c_message_omsg_okey(G))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(G)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_OtwayRees_ONB__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(v_nb,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/SWV290-2.tptp',unknown),[]).
%
% cnf(163164768,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(v_nb,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(189301424,plain,(~c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,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_ompair(A,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(v_na,c_message_omsg_ompair(v_nb,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(forward_subsumption_resolution__resolution,[status(thm)],[163151128,184238232,163155816,163433024,163164768]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163132328,189301424]),[]).
%
% END OF PROOF SEQUENCE
%
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