TSTP Solution File: SWV242-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV242-2 : 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 16:28:18 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 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 : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 31 ( 5 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_Oanalz__mono_0,plain,
! [A,B] :
( ~ c_lessequals(A,B,tc_set(tc_message_omsg))
| c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153837936,plain,
( ~ c_lessequals(A,B,tc_set(tc_message_omsg))
| c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg)) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__mono_0]),
[] ).
fof(cls_Set_OUn__upper1_0,plain,
! [A,B,C] : c_lessequals(A,c_union(A,B,C),tc_set(C)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153842008,plain,
c_lessequals(A,c_union(A,B,C),tc_set(C)),
inference(rewrite,[status(thm)],[cls_Set_OUn__upper1_0]),
[] ).
cnf(167012960,plain,
c_lessequals(c_message_oanalz(A),c_message_oanalz(c_union(A,B,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[153837936,153842008]),
[] ).
fof(cls_Set_Osubset__trans_0,plain,
! [A,B,C,D] :
( ~ c_lessequals(A,B,tc_set(C))
| ~ c_lessequals(D,A,tc_set(C))
| c_lessequals(D,B,tc_set(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153857256,plain,
( ~ c_lessequals(A,B,tc_set(C))
| ~ c_lessequals(D,A,tc_set(C))
| c_lessequals(D,B,tc_set(C)) ),
inference(rewrite,[status(thm)],[cls_Set_Osubset__trans_0]),
[] ).
fof(cls_conjecture_1,plain,
c_lessequals(v_h,c_message_oanalz(v_h_h),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153821320,plain,
c_lessequals(v_h,c_message_oanalz(v_h_h),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(167309888,plain,
( ~ c_lessequals(c_message_oanalz(v_h_h),A,tc_set(tc_message_omsg))
| c_lessequals(v_h,A,tc_set(tc_message_omsg)) ),
inference(resolution,[status(thm)],[153857256,153821320]),
[] ).
fof(cls_Set_OUn__upper2_0,plain,
! [A,B,C] : c_lessequals(A,c_union(B,A,C),tc_set(C)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153846136,plain,
c_lessequals(A,c_union(B,A,C),tc_set(C)),
inference(rewrite,[status(thm)],[cls_Set_OUn__upper2_0]),
[] ).
cnf(167032472,plain,
c_lessequals(c_message_oanalz(A),c_message_oanalz(c_union(B,A,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[153837936,153846136]),
[] ).
cnf(168331280,plain,
c_lessequals(v_h,c_message_oanalz(c_union(A,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[167309888,167032472]),
[] ).
fof(cls_conjecture_2,plain,
( ~ c_lessequals(v_h,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))
| ~ c_lessequals(v_g,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153827960,plain,
( ~ c_lessequals(v_h,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))
| ~ c_lessequals(v_g,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg)) ),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
fof(cls_conjecture_0,plain,
c_lessequals(v_g,c_message_oanalz(v_g_h),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),
[] ).
cnf(153817184,plain,
c_lessequals(v_g,c_message_oanalz(v_g_h),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(166947344,plain,
( ~ c_lessequals(c_message_oanalz(v_g_h),A,tc_set(tc_message_omsg))
| c_lessequals(v_g,A,tc_set(tc_message_omsg)) ),
inference(resolution,[status(thm)],[153857256,153817184]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167012960,168331280,153827960,166947344]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_Oanalz__mono_0,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153837936,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oanalz__mono_0]),[]).
%
% fof(cls_Set_OUn__upper1_0,plain,(c_lessequals(A,c_union(A,B,C),tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153842008,plain,(c_lessequals(A,c_union(A,B,C),tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_OUn__upper1_0]),[]).
%
% cnf(167012960,plain,(c_lessequals(c_message_oanalz(A),c_message_oanalz(c_union(A,B,tc_message_omsg)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[153837936,153842008]),[]).
%
% fof(cls_Set_Osubset__trans_0,plain,(~c_lessequals(A,B,tc_set(C))|~c_lessequals(D,A,tc_set(C))|c_lessequals(D,B,tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153857256,plain,(~c_lessequals(A,B,tc_set(C))|~c_lessequals(D,A,tc_set(C))|c_lessequals(D,B,tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_Osubset__trans_0]),[]).
%
% fof(cls_conjecture_1,plain,(c_lessequals(v_h,c_message_oanalz(v_h_h),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153821320,plain,(c_lessequals(v_h,c_message_oanalz(v_h_h),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(167309888,plain,(~c_lessequals(c_message_oanalz(v_h_h),A,tc_set(tc_message_omsg))|c_lessequals(v_h,A,tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[153857256,153821320]),[]).
%
% fof(cls_Set_OUn__upper2_0,plain,(c_lessequals(A,c_union(B,A,C),tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153846136,plain,(c_lessequals(A,c_union(B,A,C),tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_OUn__upper2_0]),[]).
%
% cnf(167032472,plain,(c_lessequals(c_message_oanalz(A),c_message_oanalz(c_union(B,A,tc_message_omsg)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[153837936,153846136]),[]).
%
% cnf(168331280,plain,(c_lessequals(v_h,c_message_oanalz(c_union(A,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[167309888,167032472]),[]).
%
% fof(cls_conjecture_2,plain,(~c_lessequals(v_h,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))|~c_lessequals(v_g,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153827960,plain,(~c_lessequals(v_h,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))|~c_lessequals(v_g,c_message_oanalz(c_union(v_g_h,v_h_h,tc_message_omsg)),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% fof(cls_conjecture_0,plain,(c_lessequals(v_g,c_message_oanalz(v_g_h),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV242-2.tptp',unknown),[]).
%
% cnf(153817184,plain,(c_lessequals(v_g,c_message_oanalz(v_g_h),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(166947344,plain,(~c_lessequals(c_message_oanalz(v_g_h),A,tc_set(tc_message_omsg))|c_lessequals(v_g,A,tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[153857256,153817184]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167012960,168331280,153827960,166947344]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------