TSTP Solution File: SWV331-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV331-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 16:32:15 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_1,plain,
~ c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),
[] ).
cnf(153220704,plain,
~ c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Yahalom_Onew__keys__not__used_0,plain,
! [A,B] :
( ~ c_in(A,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,B))),tc_nat)
| ~ c_in(A,c_message_osymkeys,tc_nat)
| ~ c_in(B,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| c_in(c_message_omsg_okey(A),c_event_oused(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),
[] ).
cnf(153274512,plain,
( ~ c_in(A,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,B))),tc_nat)
| ~ c_in(A,c_message_osymkeys,tc_nat)
| ~ c_in(B,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| c_in(c_message_omsg_okey(A),c_event_oused(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Yahalom_Onew__keys__not__used_0]),
[] ).
fof(cls_conjecture_2,plain,
c_in(v_k,c_message_osymkeys,tc_nat),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),
[] ).
cnf(153225040,plain,
c_in(v_k,c_message_osymkeys,tc_nat),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(169092368,plain,
( ~ c_in(v_k,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,A))),tc_nat)
| ~ c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))
| c_in(c_message_omsg_okey(v_k),c_event_oused(A),tc_message_omsg) ),
inference(resolution,[status(thm)],[153274512,153225040]),
[] ).
fof(cls_conjecture_0,plain,
c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),
[] ).
cnf(153215520,plain,
c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(169116440,plain,
~ c_in(v_k,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3))),tc_nat),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153220704,169092368,153215520]),
[] ).
fof(cls_Public_OCrypt__imp__keysFor_0,plain,
! [A,B,C] :
( ~ c_in(A,c_message_osymkeys,tc_nat)
| ~ c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(A,c_message_okeysfor(C),tc_nat) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),
[] ).
cnf(153250064,plain,
( ~ c_in(A,c_message_osymkeys,tc_nat)
| ~ c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(A,c_message_okeysfor(C),tc_nat) ),
inference(rewrite,[status(thm)],[cls_Public_OCrypt__imp__keysFor_0]),
[] ).
fof(cls_conjecture_5,plain,
c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),
[] ).
cnf(153233200,plain,
c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169116440,153225040,153250064,153233200]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_1,plain,(~c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),[]).
%
% cnf(153220704,plain,(~c_in(c_message_omsg_okey(v_k),c_event_oused(v_evs3),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Yahalom_Onew__keys__not__used_0,plain,(~c_in(A,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,B))),tc_nat)|~c_in(A,c_message_osymkeys,tc_nat)|~c_in(B,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|c_in(c_message_omsg_okey(A),c_event_oused(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),[]).
%
% cnf(153274512,plain,(~c_in(A,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,B))),tc_nat)|~c_in(A,c_message_osymkeys,tc_nat)|~c_in(B,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|c_in(c_message_omsg_okey(A),c_event_oused(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Yahalom_Onew__keys__not__used_0]),[]).
%
% fof(cls_conjecture_2,plain,(c_in(v_k,c_message_osymkeys,tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),[]).
%
% cnf(153225040,plain,(c_in(v_k,c_message_osymkeys,tc_nat)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(169092368,plain,(~c_in(v_k,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,A))),tc_nat)|~c_in(A,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))|c_in(c_message_omsg_okey(v_k),c_event_oused(A),tc_message_omsg)),inference(resolution,[status(thm)],[153274512,153225040]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),[]).
%
% cnf(153215520,plain,(c_in(v_evs3,c_yahalom_oyahalom,tc_list_olist(tc_event_oevent))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(169116440,plain,(~c_in(v_k,c_message_okeysfor(c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3))),tc_nat)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153220704,169092368,153215520]),[]).
%
% fof(cls_Public_OCrypt__imp__keysFor_0,plain,(~c_in(A,c_message_osymkeys,tc_nat)|~c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(A,c_message_okeysfor(C),tc_nat)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),[]).
%
% cnf(153250064,plain,(~c_in(A,c_message_osymkeys,tc_nat)|~c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(A,c_message_okeysfor(C),tc_nat)),inference(rewrite,[status(thm)],[cls_Public_OCrypt__imp__keysFor_0]),[]).
%
% fof(cls_conjecture_5,plain,(c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV331-2.tptp',unknown),[]).
%
% cnf(153233200,plain,(c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs3)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169116440,153225040,153250064,153233200]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------