## TSTP Solution File: SWV314-2 by Faust---1.0

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV314-2 : 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 16:31:25 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   18 (  14 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   18 (   0 sgn   6   !;   0   ?)

%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_2,plain,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),
[] ).

cnf(159200288,plain,
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).

fof(cls_conjecture_5,plain,
c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),
[] ).

cnf(159212976,plain,
c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).

fof(cls_conjecture_4,plain,
c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),
[] ).

cnf(159208576,plain,
c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).

fof(cls_OtwayRees_Osecrecy__lemma__dest_0,plain,
! [A,B,C,D,E,F] :
( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
| ~ 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(E))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(E)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_message_omsg_okey(E),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(C,c_message_omsg_ompair(F,c_message_omsg_okey(E)))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),
[] ).

cnf(159356568,plain,
( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
| ~ 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(E))),c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(F,c_message_omsg_okey(E)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_message_omsg_okey(E),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(C,c_message_omsg_ompair(F,c_message_omsg_okey(E)))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(rewrite,[status(thm)],[cls_OtwayRees_Osecrecy__lemma__dest_0]),
[] ).

fof(cls_conjecture_3,plain,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),
[] ).

cnf(159204744,plain,
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).

cnf(180661704,plain,
( ~ c_in(A,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,v_b,c_message_omsg_ompair(B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(B,c_message_omsg_okey(D))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(E,c_message_omsg_okey(D)))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_message_omsg_okey(D),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(B,c_message_omsg_ompair(E,c_message_omsg_okey(D)))),c_list_oset(A,tc_event_oevent),tc_event_oevent) ),
inference(resolution,[status(thm)],[159356568,159204744]),
[] ).

fof(cls_conjecture_1,plain,
~ c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(v_na,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/SWV314-2.tptp',unknown),
[] ).

cnf(159191712,plain,
~ c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(v_na,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(181249368,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(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(forward_subsumption_resolution__resolution,[status(thm)],[159212976,159208576,180661704,159191712]),
[] ).

fof(cls_conjecture_0,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/SWV314-2.tptp',unknown),
[] ).

cnf(159181880,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_0]),
[] ).

cnf(181256184,plain,
inference(resolution,[status(thm)],[181249368,159181880]),
[] ).

\$false,
inference(resolution,[status(thm)],[159200288,181256184]),
[] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
%
%
% fof(cls_conjecture_5,plain,(c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),[]).
%
% cnf(159212976,plain,(c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% fof(cls_conjecture_4,plain,(c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV314-2.tptp',unknown),[]).
%
% cnf(159208576,plain,(c_in(v_evs,c_otwayrees_ootway,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
%
%
%
%
%
% fof(cls_conjecture_1,plain,(~c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(v_na,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/SWV314-2.tptp',unknown),[]).
%
% cnf(159191712,plain,(~c_in(c_event_oevent_onotes(c_message_oagent_ospy,c_message_omsg_ompair(v_na,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]),[]).
%