TSTP Solution File: SWV358-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV358-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 16:33:39 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 19 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 9 con; 0-3 aty)
% Number of variables : 48 ( 20 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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_evs2,tc_event_oevent),tc_event_oevent),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),
[] ).
cnf(160676408,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_evs2,tc_event_oevent),tc_event_oevent),
inference(rewrite,[status(thm)],[cls_conjecture_7]),
[] ).
fof(cls_Event_OSays__imp__spies_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_event_oknows(c_message_oagent_ospy,D),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),
[] ).
cnf(160630136,plain,
( ~ c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)
| c_in(C,c_event_oknows(c_message_oagent_ospy,D),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Event_OSays__imp__spies_0]),
[] ).
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/SWV358-2.tptp',unknown),
[] ).
cnf(160646696,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_Message_Oparts_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),
[] ).
cnf(160662776,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),
[] ).
cnf(171398352,plain,
( c_in(B,c_message_oparts(C),tc_message_omsg)
| ~ c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg) ),
inference(resolution,[status(thm)],[160646696,160662776]),
[] ).
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/SWV358-2.tptp',unknown),
[] ).
cnf(160652768,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]),
[] ).
cnf(171921336,plain,
( ~ c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(C,D)),B,tc_message_omsg)
| c_in(D,c_message_oparts(B),tc_message_omsg) ),
inference(resolution,[status(thm)],[171398352,160652768]),
[] ).
fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,plain,
! [A,B] :
( ~ c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)
| c_in(A,c_event_oused(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),
[] ).
cnf(160636512,plain,
( ~ c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)
| c_in(A,c_event_oused(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]),
[] ).
fof(cls_conjecture_3,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),
[] ).
cnf(160666720,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(171175640,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
inference(resolution,[status(thm)],[160636512,160666720]),
[] ).
cnf(171381168,plain,
~ c_in(c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
inference(resolution,[status(thm)],[160646696,171175640]),
[] ).
cnf(171540696,plain,
~ c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg),
inference(resolution,[status(thm)],[171381168,160646696]),
[] ).
cnf(174855112,plain,
~ c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(B,c_message_omsg_ompair(D,c_message_omsg_ompair(C,c_message_omsg_ononce(v_nb))))),c_event_oknows(c_message_oagent_ospy,v_evs2),tc_message_omsg),
inference(resolution,[status(thm)],[171921336,171540696]),
[] ).
cnf(176755800,plain,
~ c_in(c_event_oevent_osays(A,B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(D,c_message_omsg_ompair(F,c_message_omsg_ompair(E,c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs2,tc_event_oevent),tc_event_oevent),
inference(resolution,[status(thm)],[160630136,174855112]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160676408,176755800]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% 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_evs2,tc_event_oevent),tc_event_oevent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),[]).
%
% cnf(160676408,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_evs2,tc_event_oevent),tc_event_oevent)),inference(rewrite,[status(thm)],[cls_conjecture_7]),[]).
%
% fof(cls_Event_OSays__imp__spies_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_event_oknows(c_message_oagent_ospy,D),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),[]).
%
% cnf(160630136,plain,(~c_in(c_event_oevent_osays(A,B,C),c_list_oset(D,tc_event_oevent),tc_event_oevent)|c_in(C,c_event_oknows(c_message_oagent_ospy,D),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Event_OSays__imp__spies_0]),[]).
%
% 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/SWV358-2.tptp',unknown),[]).
%
% cnf(160646696,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_Message_Oparts_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),[]).
%
% cnf(160662776,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),[]).
%
% cnf(171398352,plain,(c_in(B,c_message_oparts(C),tc_message_omsg)|~c_in(c_message_omsg_ompair(A,B),C,tc_message_omsg)),inference(resolution,[status(thm)],[160646696,160662776]),[]).
%
% 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/SWV358-2.tptp',unknown),[]).
%
% cnf(160652768,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]),[]).
%
% cnf(171921336,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(C,D)),B,tc_message_omsg)|c_in(D,c_message_oparts(B),tc_message_omsg)),inference(resolution,[status(thm)],[171398352,160652768]),[]).
%
% fof(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,plain,(~c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)|c_in(A,c_event_oused(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),[]).
%
% cnf(160636512,plain,(~c_in(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,B)),tc_message_omsg)|c_in(A,c_event_oused(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0]),[]).
%
% fof(cls_conjecture_3,plain,(~c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV358-2.tptp',unknown),[]).
%
% cnf(160666720,plain,(~c_in(c_message_omsg_ononce(v_nb),c_event_oused(v_evs2),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(171175640,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[160636512,160666720]),[]).
%
% cnf(171381168,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[160646696,171175640]),[]).
%
% cnf(171540696,plain,(~c_in(c_message_omsg_ompair(B,c_message_omsg_ompair(A,c_message_omsg_ononce(v_nb))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evs2)),tc_message_omsg)),inference(resolution,[status(thm)],[171381168,160646696]),[]).
%
% cnf(174855112,plain,(~c_in(c_message_omsg_ompair(A,c_message_omsg_ocrypt(B,c_message_omsg_ompair(D,c_message_omsg_ompair(C,c_message_omsg_ononce(v_nb))))),c_event_oknows(c_message_oagent_ospy,v_evs2),tc_message_omsg)),inference(resolution,[status(thm)],[171921336,171540696]),[]).
%
% cnf(176755800,plain,(~c_in(c_event_oevent_osays(A,B,c_message_omsg_ompair(C,c_message_omsg_ocrypt(D,c_message_omsg_ompair(F,c_message_omsg_ompair(E,c_message_omsg_ononce(v_nb)))))),c_list_oset(v_evs2,tc_event_oevent),tc_event_oevent)),inference(resolution,[status(thm)],[160630136,174855112]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160676408,176755800]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------