TSTP Solution File: SWV321-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV321-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 16:31:46 EDT 2009
% Result : Unsatisfiable 1.8s
% Output : Refutation 1.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 29 |; 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 : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 41 ( 4 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_conjecture_2,plain,
( c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),
[] ).
cnf(155532672,plain,
( c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
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/SWV321-2.tptp',unknown),
[] ).
cnf(155605984,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]),
[] ).
fof(cls_Message_OKey__synth_0,plain,
! [A,B] :
( ~ c_in(c_message_omsg_okey(A),c_message_osynth(B),tc_message_omsg)
| c_in(c_message_omsg_okey(A),B,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),
[] ).
cnf(155599776,plain,
( ~ c_in(c_message_omsg_okey(A),c_message_osynth(B),tc_message_omsg)
| c_in(c_message_omsg_okey(A),B,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OKey__synth_0]),
[] ).
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/SWV321-2.tptp',unknown),
[] ).
cnf(155629120,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_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/SWV321-2.tptp',unknown),
[] ).
cnf(155526520,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_Public_OSpy__spies__bad__shrK_0,plain,
! [A,B] :
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),
[] ).
cnf(155621512,plain,
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]),
[] ).
fof(cls_Set_OinsertCI_0,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| c_in(A,c_insert(D,B,C),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),
[] ).
cnf(155648208,plain,
( ~ c_in(A,B,C)
| c_in(A,c_insert(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_OinsertCI_0]),
[] ).
cnf(172116800,plain,
( ~ c_in(A,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(A)),c_insert(C,c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg),tc_message_omsg) ),
inference(resolution,[status(thm)],[155621512,155648208]),
[] ).
fof(cls_conjecture_4,plain,
( ~ c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),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/SWV321-2.tptp',unknown),
[] ).
cnf(155543952,plain,
( ~ c_in(v_a,c_event_obad,tc_message_oagent)
| ~ c_in(c_message_omsg_okey(c_public_oshrk(v_a)),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_4]),
[] ).
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/SWV321-2.tptp',unknown),
[] ).
cnf(155611760,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(176911416,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172116800,155543952,155611760]),
[] ).
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/SWV321-2.tptp',unknown),
[] ).
cnf(155589512,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_5,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),
[] ).
cnf(155549960,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
inference(rewrite,[status(thm)],[cls_conjecture_5]),
[] ).
cnf(204977944,plain,
c_in(c_message_omsg_okey(c_public_oshrk(v_a)),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(forward_subsumption_resolution__resolution,[status(thm)],[155526520,176911416,155589512,155549960]),
[] ).
cnf(205650792,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
| c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg) ),
inference(resolution,[status(thm)],[155629120,204977944]),
[] ).
cnf(206876576,plain,
( c_in(v_a,c_event_obad,tc_message_oagent)
| c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg) ),
inference(resolution,[status(thm)],[155532672,205650792]),
[] ).
cnf(206962248,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
inference(resolution,[status(thm)],[155599776,206876576]),
[] ).
cnf(207021192,plain,
( c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)
| c_in(v_a,c_event_obad,tc_message_oagent) ),
inference(resolution,[status(thm)],[155605984,206962248]),
[] ).
cnf(207092088,plain,
c_in(v_a,c_event_obad,tc_message_oagent),
inference(resolution,[status(thm)],[155532672,207021192]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[207092088,176911416]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(cls_conjecture_2,plain,(c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),[]).
%
% cnf(155532672,plain,(c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% 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/SWV321-2.tptp',unknown),[]).
%
% cnf(155605984,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]),[]).
%
% fof(cls_Message_OKey__synth_0,plain,(~c_in(c_message_omsg_okey(A),c_message_osynth(B),tc_message_omsg)|c_in(c_message_omsg_okey(A),B,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),[]).
%
% cnf(155599776,plain,(~c_in(c_message_omsg_okey(A),c_message_osynth(B),tc_message_omsg)|c_in(c_message_omsg_okey(A),B,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OKey__synth_0]),[]).
%
% 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/SWV321-2.tptp',unknown),[]).
%
% cnf(155629120,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_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/SWV321-2.tptp',unknown),[]).
%
% cnf(155526520,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_Public_OSpy__spies__bad__shrK_0,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),[]).
%
% cnf(155621512,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Public_OSpy__spies__bad__shrK_0]),[]).
%
% fof(cls_Set_OinsertCI_0,plain,(~c_in(A,B,C)|c_in(A,c_insert(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),[]).
%
% cnf(155648208,plain,(~c_in(A,B,C)|c_in(A,c_insert(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_OinsertCI_0]),[]).
%
% cnf(172116800,plain,(~c_in(A,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(A)),c_insert(C,c_event_oknows(c_message_oagent_ospy,B),tc_message_omsg),tc_message_omsg)),inference(resolution,[status(thm)],[155621512,155648208]),[]).
%
% fof(cls_conjecture_4,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),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/SWV321-2.tptp',unknown),[]).
%
% cnf(155543952,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)|~c_in(c_message_omsg_okey(c_public_oshrk(v_a)),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_4]),[]).
%
% 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/SWV321-2.tptp',unknown),[]).
%
% cnf(155611760,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(176911416,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172116800,155543952,155611760]),[]).
%
% 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/SWV321-2.tptp',unknown),[]).
%
% cnf(155589512,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_5,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)|c_in(v_a,c_event_obad,tc_message_oagent)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV321-2.tptp',unknown),[]).
%
% cnf(155549960,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_insert(v_x,c_event_oknows(c_message_oagent_ospy,v_evsf),tc_message_omsg)),tc_message_omsg)|c_in(v_a,c_event_obad,tc_message_oagent)),inference(rewrite,[status(thm)],[cls_conjecture_5]),[]).
%
% cnf(204977944,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),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(forward_subsumption_resolution__resolution,[status(thm)],[155526520,176911416,155589512,155549960]),[]).
%
% cnf(205650792,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[155629120,204977944]),[]).
%
% cnf(206876576,plain,(c_in(v_a,c_event_obad,tc_message_oagent)|c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_osynth(c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf))),tc_message_omsg)),inference(resolution,[status(thm)],[155532672,205650792]),[]).
%
% cnf(206962248,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(v_a,c_event_obad,tc_message_oagent)),inference(resolution,[status(thm)],[155599776,206876576]),[]).
%
% cnf(207021192,plain,(c_in(c_message_omsg_okey(c_public_oshrk(v_a)),c_message_oparts(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)|c_in(v_a,c_event_obad,tc_message_oagent)),inference(resolution,[status(thm)],[155605984,206962248]),[]).
%
% cnf(207092088,plain,(c_in(v_a,c_event_obad,tc_message_oagent)),inference(resolution,[status(thm)],[155532672,207021192]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[207092088,176911416]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------