TSTP Solution File: SWV319-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV319-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 16:31:39 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 20 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 44 ( 15 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Event_OSays__imp__analz__Spy__dest_0,plain,
! [A,B,C,D] :
( ~ c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)
| c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,D)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),
[] ).
cnf(171447368,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(c_event_oevent_osays(c_message_oagent_oserver,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_evso,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),
[] ).
cnf(171400728,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,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_evso,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(189654768,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_evso)),tc_message_omsg),
inference(resolution,[status(thm)],[171447368,171400728]),
[] ).
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/SWV319-2.tptp',unknown),
[] ).
cnf(171457872,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)
| c_in(B,c_message_oanalz(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),
[] ).
cnf(187504736,plain,
( c_in(B,c_message_oanalz(C),tc_message_omsg)
| ~ c_in(c_message_omsg_ompair(D,c_message_omsg_ompair(A,B)),c_message_oanalz(C),tc_message_omsg) ),
inference(resolution,[status(thm)],[171457872,171457872]),
[] ).
fof(cls_Message_Oparts_OBody__dest_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ocrypt(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/SWV319-2.tptp',unknown),
[] ).
cnf(171480040,plain,
( ~ c_in(c_message_omsg_ocrypt(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_Oparts_OBody__dest_0]),
[] ).
fof(cls_Message_Oanalz__conj__parts_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/SWV319-2.tptp',unknown),
[] ).
cnf(171474144,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__conj__parts_0]),
[] ).
cnf(187704880,plain,
( c_in(B,c_message_oparts(C),tc_message_omsg)
| ~ c_in(c_message_omsg_ocrypt(A,B),c_message_oanalz(C),tc_message_omsg) ),
inference(resolution,[status(thm)],[171480040,171474144]),
[] ).
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/SWV319-2.tptp',unknown),
[] ).
cnf(171468152,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_conjecture_2,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),
[] ).
cnf(171410488,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_conjecture_3,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_evso)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),
[] ).
cnf(171415296,plain,
~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[cls_conjecture_3,171410488]),
[] ).
fof(cls_conjecture_6,plain,
( $equal(c_public_oshrk(v_a),v_k)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),
[] ).
cnf(171426256,plain,
( $equal(c_public_oshrk(v_a),v_k)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
inference(rewrite,[status(thm)],[cls_conjecture_6]),
[] ).
cnf(187396368,plain,
~ c_in(c_message_omsg_okey(v_k),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[171410488,171415296,171426256,theory(equality)]),
[] ).
cnf(187586656,plain,
~ c_in(c_message_omsg_ompair(A,c_message_omsg_okey(v_k)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
inference(resolution,[status(thm)],[171468152,187396368]),
[] ).
cnf(188163360,plain,
~ c_in(c_message_omsg_ocrypt(A,c_message_omsg_ompair(B,c_message_omsg_okey(v_k))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
inference(resolution,[status(thm)],[187704880,187586656]),
[] ).
cnf(189024360,plain,
~ c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ocrypt(C,c_message_omsg_ompair(D,c_message_omsg_okey(v_k))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg),
inference(resolution,[status(thm)],[187504736,188163360]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[189654768,189024360]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Event_OSays__imp__analz__Spy__dest_0,plain,(~c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)|c_in(C,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,D)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),[]).
%
% cnf(171447368,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(c_event_oevent_osays(c_message_oagent_oserver,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_evso,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),[]).
%
% cnf(171400728,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,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_evso,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(189654768,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_evso)),tc_message_omsg)),inference(resolution,[status(thm)],[171447368,171400728]),[]).
%
% 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/SWV319-2.tptp',unknown),[]).
%
% cnf(171457872,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oanalz(C),tc_message_omsg)|c_in(B,c_message_oanalz(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__analz_0]),[]).
%
% cnf(187504736,plain,(c_in(B,c_message_oanalz(C),tc_message_omsg)|~c_in(c_message_omsg_ompair(D,c_message_omsg_ompair(A,B)),c_message_oanalz(C),tc_message_omsg)),inference(resolution,[status(thm)],[171457872,171457872]),[]).
%
% fof(cls_Message_Oparts_OBody__dest_0,plain,(~c_in(c_message_omsg_ocrypt(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/SWV319-2.tptp',unknown),[]).
%
% cnf(171480040,plain,(~c_in(c_message_omsg_ocrypt(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_Oparts_OBody__dest_0]),[]).
%
% fof(cls_Message_Oanalz__conj__parts_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/SWV319-2.tptp',unknown),[]).
%
% cnf(171474144,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__conj__parts_0]),[]).
%
% cnf(187704880,plain,(c_in(B,c_message_oparts(C),tc_message_omsg)|~c_in(c_message_omsg_ocrypt(A,B),c_message_oanalz(C),tc_message_omsg)),inference(resolution,[status(thm)],[171480040,171474144]),[]).
%
% 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/SWV319-2.tptp',unknown),[]).
%
% cnf(171468152,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_conjecture_2,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),[]).
%
% cnf(171410488,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_conjecture_3,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_evso)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),[]).
%
% cnf(171415296,plain,(~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[cls_conjecture_3,171410488]),[]).
%
% fof(cls_conjecture_6,plain,($equal(c_public_oshrk(v_a),v_k)|c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV319-2.tptp',unknown),[]).
%
% cnf(171426256,plain,($equal(c_public_oshrk(v_a),v_k)|c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_6]),[]).
%
% cnf(187396368,plain,(~c_in(c_message_omsg_okey(v_k),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[171410488,171415296,171426256,theory(equality)]),[]).
%
% cnf(187586656,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_okey(v_k)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),inference(resolution,[status(thm)],[171468152,187396368]),[]).
%
% cnf(188163360,plain,(~c_in(c_message_omsg_ocrypt(A,c_message_omsg_ompair(B,c_message_omsg_okey(v_k))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),inference(resolution,[status(thm)],[187704880,187586656]),[]).
%
% cnf(189024360,plain,(~c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ocrypt(C,c_message_omsg_ompair(D,c_message_omsg_okey(v_k))))),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evso)),tc_message_omsg)),inference(resolution,[status(thm)],[187504736,188163360]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[189654768,189024360]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------