%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV315-2 : 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 16:31:28 EDT 2009
% Result : Unsatisfiable 2.0s
% Output : Refutation 2.0s
% 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/SWV315-2.tptp',unknown),
[] ).
cnf(170380696,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__conj__parts_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/SWV315-2.tptp',unknown),
[] ).
cnf(170454008,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__conj__parts_0]),
[] ).
fof(cls_Message_OKey__synth__eq_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/SWV315-2.tptp',unknown),
[] ).
cnf(170447800,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__eq_0]),
[] ).
fof(cls_Set_OUn__iff_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/SWV315-2.tptp',unknown),
[] ).
cnf(170477144,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_OUn__iff_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/SWV315-2.tptp',unknown),
[] ).
cnf(170374544,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/SWV315-2.tptp',unknown),
[] ).
cnf(170469536,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_Oinsert__iff_2,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/SWV315-2.tptp',unknown),
[] ).
cnf(170496232,plain,
( ~ c_in(A,B,C)
| c_in(A,c_insert(D,B,C),C) ),
inference(rewrite,[status(thm)],[cls_Set_Oinsert__iff_2]),
[] ).
cnf(186964824,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)],[170469536,170496232]),
[] ).
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/SWV315-2.tptp',unknown),
[] ).
cnf(170391976,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/SWV315-2.tptp',unknown),
[] ).
cnf(170459784,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(191759440,plain,
~ c_in(v_a,c_event_obad,tc_message_oagent),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186964824,170391976,170459784]),
[] ).
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/SWV315-2.tptp',unknown),
[] ).
cnf(170437536,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/SWV315-2.tptp',unknown),
[] ).
cnf(170397984,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(220508952,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)],[170374544,191759440,170437536,170397984]),
[] ).
cnf(221181336,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)],[170477144,220508952]),
[] ).
cnf(222453600,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)],[170380696,221181336]),
[] ).
cnf(222544008,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)],[170447800,222453600]),
[] ).
cnf(222603000,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)],[170454008,222544008]),
[] ).
cnf(222669800,plain,
c_in(v_a,c_event_obad,tc_message_oagent),
inference(resolution,[status(thm)],[170380696,222603000]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[222669800,191759440]),
[] ).
%------------------------------------------------------------------------------
%----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/SWV315-2.tptp',unknown),[]).
%
% cnf(170380696,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__conj__parts_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/SWV315-2.tptp',unknown),[]).
%
% cnf(170454008,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__conj__parts_0]),[]).
%
% fof(cls_Message_OKey__synth__eq_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/SWV315-2.tptp',unknown),[]).
%
% cnf(170447800,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__eq_0]),[]).
%
% fof(cls_Set_OUn__iff_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/SWV315-2.tptp',unknown),[]).
%
% cnf(170477144,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_OUn__iff_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/SWV315-2.tptp',unknown),[]).
%
% cnf(170374544,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/SWV315-2.tptp',unknown),[]).
%
% cnf(170469536,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_Oinsert__iff_2,plain,(~c_in(A,B,C)|c_in(A,c_insert(D,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV315-2.tptp',unknown),[]).
%
% cnf(170496232,plain,(~c_in(A,B,C)|c_in(A,c_insert(D,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_Oinsert__iff_2]),[]).
%
% cnf(186964824,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)],[170469536,170496232]),[]).
%
% 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/SWV315-2.tptp',unknown),[]).
%
% cnf(170391976,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/SWV315-2.tptp',unknown),[]).
%
% cnf(170459784,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(191759440,plain,(~c_in(v_a,c_event_obad,tc_message_oagent)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186964824,170391976,170459784]),[]).
%
% 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/SWV315-2.tptp',unknown),[]).
%
% cnf(170437536,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/SWV315-2.tptp',unknown),[]).
%
% cnf(170397984,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(220508952,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)],[170374544,191759440,170437536,170397984]),[]).
%
% cnf(221181336,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)],[170477144,220508952]),[]).
%
% cnf(222453600,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)],[170380696,221181336]),[]).
%
% cnf(222544008,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)],[170447800,222453600]),[]).
%
% cnf(222603000,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)],[170454008,222544008]),[]).
%
% cnf(222669800,plain,(c_in(v_a,c_event_obad,tc_message_oagent)),inference(resolution,[status(thm)],[170380696,222603000]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[222669800,191759440]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------