TSTP Solution File: SWV273-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV273-2 : 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 16:29:43 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 24 ( 1 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_Oparts__mono_0,plain,
! [A,B] :
( ~ c_lessequals(A,B,tc_set(tc_message_omsg))
| c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),
[] ).
cnf(145572576,plain,
( ~ c_lessequals(A,B,tc_set(tc_message_omsg))
| c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg)) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts__mono_0]),
[] ).
fof(cls_Message_Osynth__increasing_0,plain,
! [A] : c_lessequals(A,c_message_osynth(A),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),
[] ).
cnf(145587288,plain,
c_lessequals(A,c_message_osynth(A),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_Message_Osynth__increasing_0]),
[] ).
cnf(153576664,plain,
c_lessequals(c_message_oparts(A),c_message_oparts(c_message_osynth(A)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[145572576,145587288]),
[] ).
fof(cls_Set_OUn__subset__iff_2,plain,
! [A,B,C,D] :
( ~ c_lessequals(A,B,tc_set(C))
| ~ c_lessequals(D,B,tc_set(C))
| c_lessequals(c_union(D,A,C),B,tc_set(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),
[] ).
cnf(145607016,plain,
( ~ c_lessequals(A,B,tc_set(C))
| ~ c_lessequals(D,B,tc_set(C))
| c_lessequals(c_union(D,A,C),B,tc_set(C)) ),
inference(rewrite,[status(thm)],[cls_Set_OUn__subset__iff_2]),
[] ).
fof(cls_conjecture_0,plain,
~ c_lessequals(c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),c_message_oparts(c_message_osynth(v_h)),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),
[] ).
cnf(145566728,plain,
~ c_lessequals(c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),c_message_oparts(c_message_osynth(v_h)),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(156617272,plain,
~ c_lessequals(c_message_osynth(v_h),c_message_oparts(c_message_osynth(v_h)),tc_set(tc_message_omsg)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153576664,145607016,145566728]),
[] ).
fof(cls_Message_Oparts__subset__iff_0,plain,
! [A,B] :
( ~ c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))
| c_lessequals(A,c_message_oparts(B),tc_set(tc_message_omsg)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),
[] ).
cnf(145578552,plain,
( ~ c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))
| c_lessequals(A,c_message_oparts(B),tc_set(tc_message_omsg)) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts__subset__iff_0]),
[] ).
fof(cls_Set_Osubset__refl_0,plain,
! [A,B] : c_lessequals(A,A,tc_set(B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),
[] ).
cnf(145611176,plain,
c_lessequals(A,A,tc_set(B)),
inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),
[] ).
cnf(153388416,plain,
c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[145578552,145611176]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[156617272,153388416]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_Oparts__mono_0,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),[]).
%
% cnf(145572576,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oparts__mono_0]),[]).
%
% fof(cls_Message_Osynth__increasing_0,plain,(c_lessequals(A,c_message_osynth(A),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),[]).
%
% cnf(145587288,plain,(c_lessequals(A,c_message_osynth(A),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Osynth__increasing_0]),[]).
%
% cnf(153576664,plain,(c_lessequals(c_message_oparts(A),c_message_oparts(c_message_osynth(A)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[145572576,145587288]),[]).
%
% fof(cls_Set_OUn__subset__iff_2,plain,(~c_lessequals(A,B,tc_set(C))|~c_lessequals(D,B,tc_set(C))|c_lessequals(c_union(D,A,C),B,tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),[]).
%
% cnf(145607016,plain,(~c_lessequals(A,B,tc_set(C))|~c_lessequals(D,B,tc_set(C))|c_lessequals(c_union(D,A,C),B,tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_OUn__subset__iff_2]),[]).
%
% fof(cls_conjecture_0,plain,(~c_lessequals(c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),c_message_oparts(c_message_osynth(v_h)),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),[]).
%
% cnf(145566728,plain,(~c_lessequals(c_union(c_message_oparts(v_h),c_message_osynth(v_h),tc_message_omsg),c_message_oparts(c_message_osynth(v_h)),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(156617272,plain,(~c_lessequals(c_message_osynth(v_h),c_message_oparts(c_message_osynth(v_h)),tc_set(tc_message_omsg))),inference(forward_subsumption_resolution__resolution,[status(thm)],[153576664,145607016,145566728]),[]).
%
% fof(cls_Message_Oparts__subset__iff_0,plain,(~c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))|c_lessequals(A,c_message_oparts(B),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),[]).
%
% cnf(145578552,plain,(~c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))|c_lessequals(A,c_message_oparts(B),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oparts__subset__iff_0]),[]).
%
% fof(cls_Set_Osubset__refl_0,plain,(c_lessequals(A,A,tc_set(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV273-2.tptp',unknown),[]).
%
% cnf(145611176,plain,(c_lessequals(A,A,tc_set(B))),inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),[]).
%
% cnf(153388416,plain,(c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[145578552,145611176]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[156617272,153388416]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------