TSTP Solution File: SWV300-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV300-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 16:30:42 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 21 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 35 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 55 ( 4 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SWV300-2.tptp',unknown),
[] ).
cnf(149345632,plain,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),
[] ).
fof(cls_conjecture_5,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),
[] ).
cnf(149166888,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(169197976,plain,
( ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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_okey(v_k))),A,tc_message_omsg) ),
inference(resolution,[status(thm)],[149345632,149166888]),
[] ).
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/SWV300-2.tptp',unknown),
[] ).
cnf(149216152,plain,
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_0]),
[] ).
fof(cls_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/SWV300-2.tptp',unknown),
[] ).
cnf(149283072,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/SWV300-2.tptp',unknown),
[] ).
cnf(149330032,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_1,plain,
c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),
[] ).
cnf(149148664,plain,
c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(168002984,plain,
( ~ c_in(c_message_omsg_okey(c_public_oshrk(A)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)
| c_in(A,c_event_obad,tc_message_oagent) ),
inference(resolution,[status(thm)],[149330032,149148664]),
[] ).
fof(cls_conjecture_0,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),
[] ).
cnf(149143080,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(168018240,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)],[168002984,149143080]),
[] ).
cnf(176150560,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)],[149283072,168018240]),
[] ).
cnf(176448496,plain,
( ~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),A),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),A),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg) ),
inference(resolution,[status(thm)],[149216152,176150560]),
[] ).
cnf(168367208,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,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)],[149166888,149283072]),
[] ).
cnf(176576992,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,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)],[176448496,168367208]),
[] ).
cnf(178910384,plain,
~ c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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)],[169197976,176576992]),
[] ).
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/SWV300-2.tptp',unknown),
[] ).
cnf(149255632,plain,
( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
| ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),
[] ).
fof(cls_conjecture_7,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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/SWV300-2.tptp',unknown),
[] ).
cnf(149175960,plain,
c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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_7]),
[] ).
cnf(182293840,plain,
~ c_in(v_x,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)],[178910384,149255632,149175960]),
[] ).
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/SWV300-2.tptp',unknown),
[] ).
cnf(149276864,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/SWV300-2.tptp',unknown),
[] ).
cnf(149293400,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/SWV300-2.tptp',unknown),
[] ).
cnf(149266240,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/SWV300-2.tptp',unknown),
[] ).
cnf(149197096,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_4,plain,
c_in(c_event_oevent_osays(v_aaa,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_ka)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),
[] ).
cnf(149157864,plain,
c_in(c_event_oevent_osays(v_aaa,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_ka)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(171413560,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_ka))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[149197096,149157864]),
[] ).
cnf(182342432,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_ka)))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg),
inference(resolution,[status(thm)],[149266240,171413560]),
[] ).
cnf(182366416,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_ka)))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg),
inference(resolution,[status(thm)],[149293400,182342432]),
[] ).
cnf(182659448,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)],[149276864,182366416]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[182293840,182659448]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% 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/SWV300-2.tptp',unknown),[]).
%
% cnf(149345632,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),[]).
%
% fof(cls_conjecture_5,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),[]).
%
% cnf(149166888,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(169197976,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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_okey(v_k))),A,tc_message_omsg)),inference(resolution,[status(thm)],[149345632,149166888]),[]).
%
% 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/SWV300-2.tptp',unknown),[]).
%
% cnf(149216152,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_0]),[]).
%
% fof(cls_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/SWV300-2.tptp',unknown),[]).
%
% cnf(149283072,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/SWV300-2.tptp',unknown),[]).
%
% cnf(149330032,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_1,plain,(c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),[]).
%
% cnf(149148664,plain,(c_in(v_evs4,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(168002984,plain,(~c_in(c_message_omsg_okey(c_public_oshrk(A)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)|c_in(A,c_event_obad,tc_message_oagent)),inference(resolution,[status(thm)],[149330032,149148664]),[]).
%
% fof(cls_conjecture_0,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),[]).
%
% cnf(149143080,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(168018240,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)],[168002984,149143080]),[]).
%
% cnf(176150560,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)],[149283072,168018240]),[]).
%
% cnf(176448496,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),A),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)|c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),A),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[149216152,176150560]),[]).
%
% cnf(168367208,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,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)],[149166888,149283072]),[]).
%
% cnf(176576992,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,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)],[176448496,168367208]),[]).
%
% cnf(178910384,plain,(~c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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)],[169197976,176576992]),[]).
%
% 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/SWV300-2.tptp',unknown),[]).
%
% cnf(149255632,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),[]).
%
% fof(cls_conjecture_7,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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/SWV300-2.tptp',unknown),[]).
%
% cnf(149175960,plain,(c_in(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(v_na,c_message_omsg_okey(v_k))),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_7]),[]).
%
% cnf(182293840,plain,(~c_in(v_x,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)],[178910384,149255632,149175960]),[]).
%
% 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/SWV300-2.tptp',unknown),[]).
%
% cnf(149276864,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/SWV300-2.tptp',unknown),[]).
%
% cnf(149293400,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/SWV300-2.tptp',unknown),[]).
%
% cnf(149266240,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/SWV300-2.tptp',unknown),[]).
%
% cnf(149197096,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_4,plain,(c_in(c_event_oevent_osays(v_aaa,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_ka)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV300-2.tptp',unknown),[]).
%
% cnf(149157864,plain,(c_in(c_event_oevent_osays(v_aaa,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_ka)))))),c_list_oset(v_evs4,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(171413560,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_ka))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[149197096,149157864]),[]).
%
% cnf(182342432,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_ka)))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4)),tc_message_omsg)),inference(resolution,[status(thm)],[149266240,171413560]),[]).
%
% cnf(182366416,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_ka)))),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs4))),tc_message_omsg)),inference(resolution,[status(thm)],[149293400,182342432]),[]).
%
% cnf(182659448,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)],[149276864,182366416]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[182293840,182659448]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------