TSTP Solution File: SWV335-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV335-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:32:28 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 29 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_1,plain,
c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173329136,plain,
c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Set_OUnE_0,plain,
! [A,B,C,D] :
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173432872,plain,
( ~ c_in(A,c_union(B,C,D),D)
| c_in(A,C,D)
| c_in(A,B,D) ),
inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),
[] ).
fof(cls_conjecture_4,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_evsf)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173346864,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_evsf)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_4]),
[] ).
cnf(189327504,plain,
( ~ c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_union(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),A,tc_message_omsg) ),
inference(resolution,[status(thm)],[173432872,173346864]),
[] ).
fof(cls_Message_ONonce__synth_0,plain,
! [A,B] :
( ~ c_in(c_message_omsg_ononce(A),c_message_osynth(B),tc_message_omsg)
| c_in(c_message_omsg_ononce(A),B,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173410176,plain,
( ~ c_in(c_message_omsg_ononce(A),c_message_osynth(B),tc_message_omsg)
| c_in(c_message_omsg_ononce(A),B,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_ONonce__synth_0]),
[] ).
fof(cls_conjecture_2,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173334344,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(189190344,plain,
~ c_in(c_message_omsg_ononce(v_nb),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
inference(resolution,[status(thm)],[173410176,173334344]),
[] ).
fof(cls_Message_OCrypt__synth_1,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173365096,plain,
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(B,c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_1]),
[] ).
fof(cls_Message_Oanalz__into__parts__dest_0,plain,
! [A,B] :
( ~ c_in(A,c_message_oanalz(B),tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173416368,plain,
( ~ c_in(A,c_message_oanalz(B),tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]),
[] ).
cnf(189292240,plain,
~ c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
inference(resolution,[status(thm)],[173416368,173346864]),
[] ).
cnf(192697344,plain,
~ c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg),
inference(forward_subsumption_resolution__resolution,[status(thm)],[189190344,173365096,189292240]),
[] ).
cnf(199439288,plain,
~ c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg),
inference(resolution,[status(thm)],[189327504,192697344]),
[] ).
fof(cls_Message_OFake__parts__insert__in__Un__dest_0,plain,
! [A,B,C] :
( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
| ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173400096,plain,
( ~ c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)
| ~ c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)
| c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),
[] ).
fof(cls_conjecture_3,plain,
c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),
[] ).
cnf(173342712,plain,
c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173329136,199439288,173400096,173342712]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_1,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173329136,plain,(c_in(v_x,c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Set_OUnE_0,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173432872,plain,(~c_in(A,c_union(B,C,D),D)|c_in(A,C,D)|c_in(A,B,D)),inference(rewrite,[status(thm)],[cls_Set_OUnE_0]),[]).
%
% fof(cls_conjecture_4,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_evsf)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173346864,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_evsf)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_4]),[]).
%
% cnf(189327504,plain,(~c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_union(A,c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg)|c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),A,tc_message_omsg)),inference(resolution,[status(thm)],[173432872,173346864]),[]).
%
% fof(cls_Message_ONonce__synth_0,plain,(~c_in(c_message_omsg_ononce(A),c_message_osynth(B),tc_message_omsg)|c_in(c_message_omsg_ononce(A),B,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173410176,plain,(~c_in(c_message_omsg_ononce(A),c_message_osynth(B),tc_message_omsg)|c_in(c_message_omsg_ononce(A),B,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_ONonce__synth_0]),[]).
%
% fof(cls_conjecture_2,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173334344,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(189190344,plain,(~c_in(c_message_omsg_ononce(v_nb),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[173410176,173334344]),[]).
%
% fof(cls_Message_OCrypt__synth_1,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173365096,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(B,c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth_1]),[]).
%
% fof(cls_Message_Oanalz__into__parts__dest_0,plain,(~c_in(A,c_message_oanalz(B),tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173416368,plain,(~c_in(A,c_message_oanalz(B),tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oanalz__into__parts__dest_0]),[]).
%
% cnf(189292240,plain,(~c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(resolution,[status(thm)],[173416368,173346864]),[]).
%
% cnf(192697344,plain,(~c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(forward_subsumption_resolution__resolution,[status(thm)],[189190344,173365096,189292240]),[]).
%
% cnf(199439288,plain,(~c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_union(c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[189327504,192697344]),[]).
%
% fof(cls_Message_OFake__parts__insert__in__Un__dest_0,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173400096,plain,(~c_in(A,c_message_oparts(c_insert(B,C,tc_message_omsg)),tc_message_omsg)|~c_in(B,c_message_osynth(c_message_oanalz(C)),tc_message_omsg)|c_in(A,c_union(c_message_osynth(c_message_oanalz(C)),c_message_oparts(C),tc_message_omsg),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OFake__parts__insert__in__Un__dest_0]),[]).
%
% fof(cls_conjecture_3,plain,(c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV335-2.tptp',unknown),[]).
%
% cnf(173342712,plain,(c_in(c_message_omsg_ocrypt(v_k,c_message_omsg_ononce(v_nb)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_3]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173329136,199439288,173400096,173342712]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------