TSTP Solution File: SWV292-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV292-2 : 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 16:30:25 EDT 2009
% Result : Unsatisfiable 5.4s
% Output : Refutation 5.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 46 ( 22 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 40 ~; 34 |; 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 : 32 ( 32 usr; 15 con; 0-3 aty)
% Number of variables : 61 ( 4 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SWV292-2.tptp',unknown),
[] ).
cnf(142504688,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_Message_OMPair__synth__analz__iff1_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_message_osynth(c_message_oanalz(C)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
cnf(142526024,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_message_osynth(c_message_oanalz(C)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_0]),
[] ).
fof(cls_Message_Osynth_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_osynth(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
cnf(142542576,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_osynth(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Osynth_OInj_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/SWV292-2.tptp',unknown),
[] ).
cnf(142515352,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_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/SWV292-2.tptp',unknown),
[] ).
cnf(142450096,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_1,plain,
c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
cnf(142388136,plain,
c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
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/SWV292-2.tptp',unknown),
[] ).
cnf(142592416,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_4,plain,
c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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/SWV292-2.tptp',unknown),
[] ).
cnf(142397400,plain,
c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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_4]),
[] ).
cnf(175955360,plain,
c_in(c_event_oevent_osays(v_sko__usf(v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),v_evs4),v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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)],[142388136,142592416,142397400]),
[] ).
cnf(176375976,plain,
c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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)],[142450096,175955360]),
[] ).
cnf(176427176,plain,
c_in(c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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)],[142515352,176375976]),
[] ).
cnf(176457688,plain,
c_in(c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg),
inference(resolution,[status(thm)],[142542576,176427176]),
[] ).
cnf(176794240,plain,
c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg),
inference(resolution,[status(thm)],[142526024,176457688]),
[] ).
cnf(176865664,plain,
( ~ c_in(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(A,c_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),tc_message_omsg) ),
inference(resolution,[status(thm)],[142504688,176794240]),
[] ).
fof(cls_conjecture_5,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_evs4),tc_message_omsg)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
cnf(142406624,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_evs4),tc_message_omsg)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(176911992,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_evs4))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[176865664,142406624]),
[] ).
fof(cls_conjecture_7,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_evs4,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_evs4)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
fof(cls_conjecture_6,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_evs4,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
cnf(142415800,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_evs4,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(142425176,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_evs4)),tc_message_omsg),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[cls_conjecture_7,142415800]),
[] ).
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/SWV292-2.tptp',unknown),
[] ).
cnf(142647448,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]),
[] ).
cnf(166536976,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(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),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)))),A,tc_message_omsg) ),
inference(resolution,[status(thm)],[142425176,142647448]),
[] ).
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/SWV292-2.tptp',unknown),
[] ).
cnf(142532216,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_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/SWV292-2.tptp',unknown),
[] ).
cnf(142631792,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_conjecture_0,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),
[] ).
cnf(142382488,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(163964816,plain,
( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg) ),
inference(resolution,[status(thm)],[142631792,142382488]),
[] ).
cnf(163989304,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)],[163964816,142388136]),
[] ).
cnf(172045168,plain,
~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[142532216,163989304]),
[] ).
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/SWV292-2.tptp',unknown),
[] ).
cnf(142465136,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]),
[] ).
cnf(166465056,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_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[142425176,142532216]),
[] ).
cnf(174625704,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_evs4))),tc_message_omsg),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172045168,142465136,166465056]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[176911992,166536976,174625704]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 6 seconds
% START OF PROOF SEQUENCE
% 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/SWV292-2.tptp',unknown),[]).
%
% cnf(142504688,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_Message_OMPair__synth__analz__iff1_0,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% cnf(142526024,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__synth__analz__iff1_0]),[]).
%
% fof(cls_Message_Osynth_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_osynth(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% cnf(142542576,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_osynth(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Osynth_OInj_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/SWV292-2.tptp',unknown),[]).
%
% cnf(142515352,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_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/SWV292-2.tptp',unknown),[]).
%
% cnf(142450096,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_1,plain,(c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% cnf(142388136,plain,(c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% 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/SWV292-2.tptp',unknown),[]).
%
% cnf(142592416,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_4,plain,(c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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/SWV292-2.tptp',unknown),[]).
%
% cnf(142397400,plain,(c_in(c_event_oevent_ogets(v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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_4]),[]).
%
% cnf(175955360,plain,(c_in(c_event_oevent_osays(v_sko__usf(v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k))))),v_evs4),v_ba,c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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)],[142388136,142592416,142397400]),[]).
%
% cnf(176375976,plain,(c_in(c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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)],[142450096,175955360]),[]).
%
% cnf(176427176,plain,(c_in(c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),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)],[142515352,176375976]),[]).
%
% cnf(176457688,plain,(c_in(c_message_omsg_ompair(v_x,c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_ononce(v_nb),c_message_omsg_okey(v_k)))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)),inference(resolution,[status(thm)],[142542576,176427176]),[]).
%
% cnf(176794240,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)),inference(resolution,[status(thm)],[142526024,176457688]),[]).
%
% cnf(176865664,plain,(~c_in(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(A,c_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[142504688,176794240]),[]).
%
% fof(cls_conjecture_5,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_evs4),tc_message_omsg)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% cnf(142406624,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_evs4),tc_message_omsg)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(176911992,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_evs4))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[176865664,142406624]),[]).
%
% fof(cls_conjecture_7,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_evs4,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_evs4)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% fof(cls_conjecture_6,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_evs4,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% cnf(142415800,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_evs4,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(142425176,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_evs4)),tc_message_omsg)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[cls_conjecture_7,142415800]),[]).
%
% 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/SWV292-2.tptp',unknown),[]).
%
% cnf(142647448,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]),[]).
%
% cnf(166536976,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(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),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)))),A,tc_message_omsg)),inference(resolution,[status(thm)],[142425176,142647448]),[]).
%
% 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/SWV292-2.tptp',unknown),[]).
%
% cnf(142532216,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_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/SWV292-2.tptp',unknown),[]).
%
% cnf(142631792,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_conjecture_0,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV292-2.tptp',unknown),[]).
%
% cnf(142382488,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(163964816,plain,(~c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)),inference(resolution,[status(thm)],[142631792,142382488]),[]).
%
% cnf(163989304,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)],[163964816,142388136]),[]).
%
% cnf(172045168,plain,(~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[142532216,163989304]),[]).
%
% 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/SWV292-2.tptp',unknown),[]).
%
% cnf(142465136,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]),[]).
%
% cnf(166465056,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_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[142425176,142532216]),[]).
%
% cnf(174625704,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_evs4))),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172045168,142465136,166465056]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[176911992,166536976,174625704]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------