%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV279-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 16:29:56 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 43 ( 8 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Public_Oused__parts__subset__parts_0,plain,
! [A,B] :
( ~ c_in(A,c_event_oused(B),tc_message_omsg)
| c_lessequals(c_message_oparts(c_insert(A,c_emptyset,tc_message_omsg)),c_event_oused(B),tc_set(tc_message_omsg)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),
[] ).
cnf(150978384,plain,
( ~ c_in(A,c_event_oused(B),tc_message_omsg)
| c_lessequals(c_message_oparts(c_insert(A,c_emptyset,tc_message_omsg)),c_event_oused(B),tc_set(tc_message_omsg)) ),
inference(rewrite,[status(thm)],[cls_Public_Oused__parts__subset__parts_0]),
[] ).
fof(cls_conjecture_0,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_event_oused(v_h),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),
[] ).
cnf(150946288,plain,
c_in(c_message_omsg_ompair(v_x,v_y),c_event_oused(v_h),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(161544552,plain,
c_lessequals(c_message_oparts(c_insert(c_message_omsg_ompair(v_x,v_y),c_emptyset,tc_message_omsg)),c_event_oused(v_h),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[150978384,150946288]),
[] ).
fof(cls_Set_OsubsetD_0,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),
[] ).
cnf(151007328,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),
[] ).
cnf(164225400,plain,
( ~ c_in(A,c_message_oparts(c_insert(c_message_omsg_ompair(v_x,v_y),c_emptyset,tc_message_omsg)),tc_message_omsg)
| c_in(A,c_event_oused(v_h),tc_message_omsg) ),
inference(resolution,[status(thm)],[161544552,151007328]),
[] ).
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/SWV279-2.tptp',unknown),
[] ).
cnf(150959008,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/SWV279-2.tptp',unknown),
[] ).
cnf(150972768,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]),
[] ).
fof(cls_Set_Oinsert__iff_1,plain,
! [A,B,C] : c_in(A,c_insert(A,B,C),C),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),
[] ).
cnf(150986840,plain,
c_in(A,c_insert(A,B,C),C),
inference(rewrite,[status(thm)],[cls_Set_Oinsert__iff_1]),
[] ).
cnf(161450248,plain,
c_in(A,c_message_oparts(c_insert(A,B,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[150972768,150986840]),
[] ).
cnf(161766544,plain,
c_in(B,c_message_oparts(c_insert(c_message_omsg_ompair(A,B),C,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[150959008,161450248]),
[] ).
cnf(167585576,plain,
c_in(v_y,c_event_oused(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[164225400,161766544]),
[] ).
fof(cls_conjecture_1,plain,
( ~ c_in(v_y,c_event_oused(v_h),tc_message_omsg)
| ~ c_in(v_x,c_event_oused(v_h),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),
[] ).
cnf(150953088,plain,
( ~ c_in(v_y,c_event_oused(v_h),tc_message_omsg)
| ~ c_in(v_x,c_event_oused(v_h),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Message_OMPair__parts_1,plain,
! [A,B,C] :
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
| c_in(A,c_message_oparts(C),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),
[] ).
cnf(150967616,plain,
( ~ c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)
| c_in(A,c_message_oparts(C),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_1]),
[] ).
cnf(162052064,plain,
c_in(A,c_message_oparts(c_insert(c_message_omsg_ompair(A,B),C,tc_message_omsg)),tc_message_omsg),
inference(resolution,[status(thm)],[150967616,161450248]),
[] ).
cnf(167638208,plain,
c_in(v_x,c_event_oused(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[164225400,162052064]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167585576,150953088,167638208]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Public_Oused__parts__subset__parts_0,plain,(~c_in(A,c_event_oused(B),tc_message_omsg)|c_lessequals(c_message_oparts(c_insert(A,c_emptyset,tc_message_omsg)),c_event_oused(B),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),[]).
%
% cnf(150978384,plain,(~c_in(A,c_event_oused(B),tc_message_omsg)|c_lessequals(c_message_oparts(c_insert(A,c_emptyset,tc_message_omsg)),c_event_oused(B),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Public_Oused__parts__subset__parts_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_event_oused(v_h),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),[]).
%
% cnf(150946288,plain,(c_in(c_message_omsg_ompair(v_x,v_y),c_event_oused(v_h),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(161544552,plain,(c_lessequals(c_message_oparts(c_insert(c_message_omsg_ompair(v_x,v_y),c_emptyset,tc_message_omsg)),c_event_oused(v_h),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[150978384,150946288]),[]).
%
% fof(cls_Set_OsubsetD_0,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),[]).
%
% cnf(151007328,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),[]).
%
% cnf(164225400,plain,(~c_in(A,c_message_oparts(c_insert(c_message_omsg_ompair(v_x,v_y),c_emptyset,tc_message_omsg)),tc_message_omsg)|c_in(A,c_event_oused(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[161544552,151007328]),[]).
%
% 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/SWV279-2.tptp',unknown),[]).
%
% cnf(150959008,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/SWV279-2.tptp',unknown),[]).
%
% cnf(150972768,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]),[]).
%
% fof(cls_Set_Oinsert__iff_1,plain,(c_in(A,c_insert(A,B,C),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),[]).
%
% cnf(150986840,plain,(c_in(A,c_insert(A,B,C),C)),inference(rewrite,[status(thm)],[cls_Set_Oinsert__iff_1]),[]).
%
% cnf(161450248,plain,(c_in(A,c_message_oparts(c_insert(A,B,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[150972768,150986840]),[]).
%
% cnf(161766544,plain,(c_in(B,c_message_oparts(c_insert(c_message_omsg_ompair(A,B),C,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[150959008,161450248]),[]).
%
% cnf(167585576,plain,(c_in(v_y,c_event_oused(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[164225400,161766544]),[]).
%
% fof(cls_conjecture_1,plain,(~c_in(v_y,c_event_oused(v_h),tc_message_omsg)|~c_in(v_x,c_event_oused(v_h),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),[]).
%
% cnf(150953088,plain,(~c_in(v_y,c_event_oused(v_h),tc_message_omsg)|~c_in(v_x,c_event_oused(v_h),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Message_OMPair__parts_1,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(A,c_message_oparts(C),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV279-2.tptp',unknown),[]).
%
% cnf(150967616,plain,(~c_in(c_message_omsg_ompair(A,B),c_message_oparts(C),tc_message_omsg)|c_in(A,c_message_oparts(C),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_OMPair__parts_1]),[]).
%
% cnf(162052064,plain,(c_in(A,c_message_oparts(c_insert(c_message_omsg_ompair(A,B),C,tc_message_omsg)),tc_message_omsg)),inference(resolution,[status(thm)],[150967616,161450248]),[]).
%
% cnf(167638208,plain,(c_in(v_x,c_event_oused(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[164225400,162052064]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167585576,150953088,167638208]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------