TSTP Solution File: SWV347-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV347-2 : 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 16:33:04 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 31 ( 13 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_11,plain,
c_in(v_aa,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145641056,plain,
c_in(v_aa,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_11]),
[] ).
fof(cls_conjecture_8,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145676304,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_8]),
[] ).
fof(cls_conjecture_2,plain,
c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145645592,plain,
c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_Yahalom_OSays__unique__NB_1,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L,M] :
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| $equal(L,E) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145617880,plain,
( ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| ~ c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| ~ c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)
| c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)
| $equal(L,E) ),
inference(rewrite,[status(thm)],[cls_Yahalom_OSays__unique__NB_1]),
[] ).
fof(cls_conjecture_7,plain,
c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145667736,plain,
c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_7]),
[] ).
cnf(166971008,plain,
( ~ c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)
| $equal(v_a,D) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145676304,145645592,145617880,145667736]),
[] ).
fof(cls_conjecture_5,plain,
c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145654552,plain,
c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(166997584,plain,
$equal(v_a,v_aa),
inference(resolution,[status(thm)],[166971008,145654552]),
[] ).
fof(cls_conjecture_0,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),
[] ).
cnf(145511696,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[145641056,166997584,145511696,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_11,plain,(c_in(v_aa,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145641056,plain,(c_in(v_aa,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_11]),[]).
%
% fof(cls_conjecture_8,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145676304,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_8]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145645592,plain,(c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_Yahalom_OSays__unique__NB_1,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|$equal(L,E)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145617880,plain,(~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|~c_in(c_event_oevent_ogets(B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(c_public_oshrk(D),c_message_omsg_ompair(c_message_omsg_oagent(E),c_message_omsg_ompair(c_message_omsg_ononce(F),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|~c_in(c_event_oevent_osays(H,I,c_message_omsg_ompair(J,c_message_omsg_ocrypt(c_public_oshrk(K),c_message_omsg_ompair(c_message_omsg_oagent(L),c_message_omsg_ompair(c_message_omsg_ononce(M),G))))),c_list_oset(A,tc_event_oevent),tc_event_oevent)|c_in(G,c_message_oanalz(c_event_oknows(c_message_oagent_ospy,A)),tc_message_omsg)|$equal(L,E)),inference(rewrite,[status(thm)],[cls_Yahalom_OSays__unique__NB_1]),[]).
%
% fof(cls_conjecture_7,plain,(c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145667736,plain,(c_in(c_event_oevent_osays(v_b,c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_b),c_message_omsg_ocrypt(c_public_oshrk(v_b),c_message_omsg_ompair(c_message_omsg_oagent(v_a),c_message_omsg_ompair(c_message_omsg_ononce(v_na),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
%
% cnf(166971008,plain,(~c_in(c_event_oevent_ogets(A,c_message_omsg_ompair(B,c_message_omsg_ocrypt(c_public_oshrk(C),c_message_omsg_ompair(c_message_omsg_oagent(D),c_message_omsg_ompair(c_message_omsg_ononce(E),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)|$equal(v_a,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145676304,145645592,145617880,145667736]),[]).
%
% fof(cls_conjecture_5,plain,(c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145654552,plain,(c_in(c_event_oevent_ogets(c_message_oagent_oserver,c_message_omsg_ompair(c_message_omsg_oagent(v_ba),c_message_omsg_ocrypt(c_public_oshrk(v_ba),c_message_omsg_ompair(c_message_omsg_oagent(v_aa),c_message_omsg_ompair(c_message_omsg_ononce(v_naa),c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs3,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(166997584,plain,($equal(v_a,v_aa)),inference(resolution,[status(thm)],[166971008,145654552]),[]).
%
% fof(cls_conjecture_0,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV347-2.tptp',unknown),[]).
%
% cnf(145511696,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[145641056,166997584,145511696,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------