TSTP Solution File: SWV346-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV346-2 : 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 16:33:01 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-3 aty)
% Number of variables : 44 ( 18 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Yahalom_Ounique__session__keys__dest_2,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| $equal(E,J) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),
[] ).
cnf(173234664,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| $equal(E,J) ),
inference(rewrite,[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_2]),
[] ).
fof(cls_conjecture_2,plain,
c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),
[] ).
cnf(173158080,plain,
c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(189103360,plain,
( ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(C),c_message_omsg_ompair(D,E)))),F)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,G,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(G),c_message_omsg_ompair(c_message_omsg_oagent(H),c_message_omsg_ompair(c_message_omsg_okey(C),c_message_omsg_ompair(I,J)))),K)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| $equal(D,I) ),
inference(resolution,[status(thm)],[173234664,173158080]),
[] ).
fof(cls_conjecture_4,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(v_na,v_nb)))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),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/SWV346-2.tptp',unknown),
[] ).
cnf(173262520,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(v_na,v_nb)))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(189315432,plain,
( ~ c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(C,D)))),E)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)
| $equal(C,v_na) ),
inference(resolution,[status(thm)],[189103360,173262520]),
[] ).
fof(cls_conjecture_7,plain,
~ $equal(c_message_omsg_ononce(v_na),v_na),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),
[] ).
cnf(173271904,plain,
~ $equal(c_message_omsg_ononce(v_na),v_na),
inference(rewrite,[status(thm)],[cls_conjecture_7]),
[] ).
cnf(189362248,plain,
~ c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),C)))),D)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(resolution,[status(thm)],[189315432,173271904]),
[] ).
fof(cls_conjecture_3,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),
[] ).
cnf(173253392,plain,
c_in(c_event_oevent_osays(c_message_oagent_oserver,v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[189362248,173253392]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Yahalom_Ounique__session__keys__dest_2,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|$equal(E,J)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),[]).
%
% cnf(173234664,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_osays(c_message_oagent_oserver,B,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(B),c_message_omsg_ompair(c_message_omsg_oagent(C),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(E,F)))),G)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,H,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(H),c_message_omsg_ompair(c_message_omsg_oagent(I),c_message_omsg_ompair(c_message_omsg_okey(D),c_message_omsg_ompair(J,K)))),L)),c_list_oset(A,tc_event_oevent),tc_event_oevent)|$equal(E,J)),inference(rewrite,[status(thm)],[cls_Yahalom_Ounique__session__keys__dest_2]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),[]).
%
% cnf(173158080,plain,(c_in(v_evso,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(189103360,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(C),c_message_omsg_ompair(D,E)))),F)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(c_message_oagent_oserver,G,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(G),c_message_omsg_ompair(c_message_omsg_oagent(H),c_message_omsg_ompair(c_message_omsg_okey(C),c_message_omsg_ompair(I,J)))),K)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|$equal(D,I)),inference(resolution,[status(thm)],[173234664,173158080]),[]).
%
% fof(cls_conjecture_4,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(v_na,v_nb)))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),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/SWV346-2.tptp',unknown),[]).
%
% cnf(173262520,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,v_a,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_a),c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(v_na,v_nb)))),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_okey(v_k))))),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(189315432,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(C,D)))),E)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)|$equal(C,v_na)),inference(resolution,[status(thm)],[189103360,173262520]),[]).
%
% fof(cls_conjecture_7,plain,(~$equal(c_message_omsg_ononce(v_na),v_na)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),[]).
%
% cnf(173271904,plain,(~$equal(c_message_omsg_ononce(v_na),v_na)),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
%
% cnf(189362248,plain,(~c_in(c_event_oevent_osays(c_message_oagent_oserver,A,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(A),c_message_omsg_ompair(c_message_omsg_oagent(B),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),C)))),D)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(resolution,[status(thm)],[189315432,173271904]),[]).
%
% fof(cls_conjecture_3,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV346-2.tptp',unknown),[]).
%
% cnf(173253392,plain,(c_in(c_event_oevent_osays(c_message_oagent_oserver,v_aa,c_message_omsg_ompair(c_message_omsg_ocrypt(c_public_oshrk(v_aa),c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ompair(c_message_omsg_okey(v_k),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb))))),v_x)),c_list_oset(v_evso,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[189362248,173253392]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------