%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV328-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 16:32:04 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 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; 6 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 12 !; 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/SWV328-2.tptp',unknown),
[] ).
cnf(161839072,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_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/SWV328-2.tptp',unknown),
[] ).
cnf(161911032,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/SWV328-2.tptp',unknown),
[] ).
cnf(161852712,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(177704336,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(forward_subsumption_resolution__resolution,[status(thm)],[161839072,161911032,161852712]),
[] ).
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/SWV328-2.tptp',unknown),
[] ).
cnf(161933968,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_6,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/SWV328-2.tptp',unknown),
[] ).
cnf(161856928,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_6]),
[] ).
cnf(177839392,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)],[161933968,161856928]),
[] ).
fof(cls_conjecture_2,plain,
~ c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV328-2.tptp',unknown),
[] ).
cnf(161844312,plain,
~ c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_Message_OCrypt__synth__eq_0,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV328-2.tptp',unknown),
[] ).
cnf(161875192,plain,
( ~ c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)
| c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)
| c_in(c_message_omsg_okey(A),C,tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth__eq_0]),
[] ).
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/SWV328-2.tptp',unknown),
[] ).
cnf(161921376,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]),
[] ).
cnf(177726544,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)],[161921376,161856928]),
[] ).
cnf(178888384,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)],[161844312,161875192,177726544]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[177704336,177839392,178888384]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 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/SWV328-2.tptp',unknown),[]).
%
% cnf(161839072,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_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/SWV328-2.tptp',unknown),[]).
%
% cnf(161911032,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/SWV328-2.tptp',unknown),[]).
%
% cnf(161852712,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(177704336,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(forward_subsumption_resolution__resolution,[status(thm)],[161839072,161911032,161852712]),[]).
%
% 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/SWV328-2.tptp',unknown),[]).
%
% cnf(161933968,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_6,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/SWV328-2.tptp',unknown),[]).
%
% cnf(161856928,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_6]),[]).
%
% cnf(177839392,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)],[161933968,161856928]),[]).
%
% fof(cls_conjecture_2,plain,(~c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV328-2.tptp',unknown),[]).
%
% cnf(161844312,plain,(~c_in(c_message_omsg_okey(v_k),c_message_oanalz(c_event_oknows(c_message_oagent_ospy,v_evsf)),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_Message_OCrypt__synth__eq_0,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV328-2.tptp',unknown),[]).
%
% cnf(161875192,plain,(~c_in(c_message_omsg_ocrypt(A,B),c_message_osynth(C),tc_message_omsg)|c_in(c_message_omsg_ocrypt(A,B),C,tc_message_omsg)|c_in(c_message_omsg_okey(A),C,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OCrypt__synth__eq_0]),[]).
%
% 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/SWV328-2.tptp',unknown),[]).
%
% cnf(161921376,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]),[]).
%
% cnf(177726544,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)],[161921376,161856928]),[]).
%
% cnf(178888384,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)],[161844312,161875192,177726544]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177704336,177839392,178888384]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------