TSTP Solution File: SWV318-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV318-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:31:36 EDT 2009
% Result : Unsatisfiable 87.3s
% Output : Refutation 87.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 13 con; 0-3 aty)
% Number of variables : 55 ( 9 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Public_OSpy__spies__bad__shrK_0,plain,
! [A,B] :
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162558144,plain,
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]),
[] ).
fof(cls_Message_Oparts_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162477936,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),
[] ).
cnf(182269088,plain,
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg) ),
inference(resolution,[status(thm)],[162558144,162477936]),
[] ).
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/SWV318-2.tptp',unknown),
[] ).
cnf(162472784,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]),
[] ).
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/SWV318-2.tptp',unknown),
[] ).
cnf(162463824,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_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/SWV318-2.tptp',unknown),
[] ).
cnf(162457152,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_conjecture_0,plain,
c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162584296,plain,
c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
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/SWV318-2.tptp',unknown),
[] ).
cnf(162547568,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(c_event_oevent_ogets(v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162589240,plain,
c_in(c_event_oevent_ogets(v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(181255808,plain,
c_in(c_event_oevent_osays(v_sko__usf(v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),v_evs4),v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162584296,162547568,162589240]),
[] ).
cnf(181299432,plain,
c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[162457152,181255808]),
[] ).
cnf(203689408,plain,
c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),c_message_oparts(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg),
inference(resolution,[status(thm)],[162477936,181299432]),
[] ).
cnf(203761600,plain,
c_in(c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))),c_message_oparts(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg),
inference(resolution,[status(thm)],[162463824,203689408]),
[] ).
cnf(217295728,plain,
c_in(v_x,c_message_oparts(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg),
inference(resolution,[status(thm)],[162472784,203761600]),
[] ).
fof(cls_conjecture_4,plain,
( c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162599912,plain,
( c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
fof(cls_Set_Oinsert__iff_2,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| c_in(A,c_insert(D,B,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162575232,plain,
( ~ c_in(A,B,C)
| c_in(A,c_insert(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_Oinsert__iff_2]),
[] ).
cnf(182330632,plain,
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_insert(C,c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg),tc_message_omsg) ),
inference(resolution,[status(thm)],[162558144,162575232]),
[] ).
fof(cls_conjecture_6,plain,
( ~ c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162610368,plain,
( ~ c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(186862928,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182330632,162477936,162610368]),
[] ).
cnf(186872992,plain,
~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[162599912,186862928]),
[] ).
fof(cls_Message_Oparts__cut__eq_0,plain,
! [A,B] :
( ~ c_in(A,c_message_oparts(B),tc_message_omsg)
| $equal(c_message_oparts(c_insert(A,B,tc_message_omsg)),c_message_oparts(B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162493432,plain,
( ~ c_in(A,c_message_oparts(B),tc_message_omsg)
| $equal(c_message_oparts(c_insert(A,B,tc_message_omsg)),c_message_oparts(B)) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts__cut__eq_0]),
[] ).
fof(cls_Message_Oparts__analz_0,plain,
! [A] : $equal(c_message_oparts(c_message_oanalz(A)),c_message_oparts(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162482856,plain,
$equal(c_message_oparts(c_message_oanalz(A)),c_message_oparts(A)),
inference(rewrite,[status(thm)],[cls_Message_Oparts__analz_0]),
[] ).
cnf(183601272,plain,
( ~ c_in(A,c_message_oparts(c_message_oanalz(B)),tc_message_omsg)
| $equal(c_message_oparts(c_insert(A,B,tc_message_omsg)),c_message_oparts(B)) ),
inference(paramodulation,[status(thm)],[162493432,162482856,theory(equality)]),
[] ).
fof(cls_conjecture_7,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),
[] ).
cnf(162620856,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
inference(rewrite,[status(thm)],[cls_conjecture_7]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[182269088,217295728,186872992,183601272,162620856,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 86 seconds
% START OF PROOF SEQUENCE
% fof(cls_Public_OSpy__spies__bad__shrK_0,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162558144,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]),[]).
%
% fof(cls_Message_Oparts_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162477936,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),[]).
%
% cnf(182269088,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)),inference(resolution,[status(thm)],[162558144,162477936]),[]).
%
% 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/SWV318-2.tptp',unknown),[]).
%
% cnf(162472784,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]),[]).
%
% 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/SWV318-2.tptp',unknown),[]).
%
% cnf(162463824,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_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/SWV318-2.tptp',unknown),[]).
%
% cnf(162457152,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_conjecture_0,plain,(c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162584296,plain,(c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% 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/SWV318-2.tptp',unknown),[]).
%
% cnf(162547568,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(c_event_oevent_ogets(v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162589240,plain,(c_in(c_event_oevent_ogets(v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(181255808,plain,(c_in(c_event_oevent_osays(v_sko__usf(v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),v_evs4),v_b,c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162584296,162547568,162589240]),[]).
%
% cnf(181299432,plain,(c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[162457152,181255808]),[]).
%
% cnf(203689408,plain,(c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),c_message_oparts(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)),inference(resolution,[status(thm)],[162477936,181299432]),[]).
%
% cnf(203761600,plain,(c_in(c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))),c_message_oparts(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)),inference(resolution,[status(thm)],[162463824,203689408]),[]).
%
% cnf(217295728,plain,(c_in(v_x,c_message_oparts(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)),inference(resolution,[status(thm)],[162472784,203761600]),[]).
%
% fof(cls_conjecture_4,plain,(c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162599912,plain,(c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% fof(cls_Set_Oinsert__iff_2,plain,(~c_in(A,B,C)|c_in(A,c_insert(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162575232,plain,(~c_in(A,B,C)|c_in(A,c_insert(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_Oinsert__iff_2]),[]).
%
% cnf(182330632,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_insert(C,c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[162558144,162575232]),[]).
%
% fof(cls_conjecture_6,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162610368,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(186862928,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182330632,162477936,162610368]),[]).
%
% cnf(186872992,plain,(~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[162599912,186862928]),[]).
%
% fof(cls_Message_Oparts__cut__eq_0,plain,(~c_in(A,c_message_oparts(B),tc_message_omsg)|$equal(c_message_oparts(c_insert(A,B,tc_message_omsg)),c_message_oparts(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162493432,plain,(~c_in(A,c_message_oparts(B),tc_message_omsg)|$equal(c_message_oparts(c_insert(A,B,tc_message_omsg)),c_message_oparts(B))),inference(rewrite,[status(thm)],[cls_Message_Oparts__cut__eq_0]),[]).
%
% fof(cls_Message_Oparts__analz_0,plain,($equal(c_message_oparts(c_message_oanalz(A)),c_message_oparts(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162482856,plain,($equal(c_message_oparts(c_message_oanalz(A)),c_message_oparts(A))),inference(rewrite,[status(thm)],[cls_Message_Oparts__analz_0]),[]).
%
% cnf(183601272,plain,(~c_in(A,c_message_oparts(c_message_oanalz(B)),tc_message_omsg)|$equal(c_message_oparts(c_insert(A,B,tc_message_omsg)),c_message_oparts(B))),inference(paramodulation,[status(thm)],[162493432,162482856,theory(equality)]),[]).
%
% fof(cls_conjecture_7,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg)|c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV318-2.tptp',unknown),[]).
%
% cnf(162620856,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evs4),tc_message_omsg)),tc_message_omsg)|c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[182269088,217295728,186872992,183601272,162620856,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------