%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV259-2 : 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 16:29:02 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 3 con; 0-3 aty)
% Number of variables : 23 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Set_Oinsert__subset_1,plain,
! [A,B,C,D] :
( ~ c_lessequals(c_insert(A,B,C),D,tc_set(C))
| c_lessequals(B,D,tc_set(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV259-2.tptp',unknown),
[] ).
cnf(149616760,plain,
( ~ c_lessequals(c_insert(A,B,C),D,tc_set(C))
| c_lessequals(B,D,tc_set(C)) ),
inference(rewrite,[status(thm)],[cls_Set_Oinsert__subset_1]),
[] ).
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/SWV259-2.tptp',unknown),
[] ).
cnf(149596536,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/SWV259-2.tptp',unknown),
[] ).
cnf(149621648,plain,
c_lessequals(A,A,tc_set(B)),
inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),
[] ).
cnf(157398320,plain,
c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[149596536,149621648]),
[] ).
cnf(157463376,plain,
c_lessequals(B,c_message_oparts(c_insert(A,B,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[149616760,157398320]),
[] ).
fof(cls_Message_Oparts__subset__iff_1,plain,
! [A,B] :
( ~ c_lessequals(A,c_message_oparts(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/SWV259-2.tptp',unknown),
[] ).
cnf(149602512,plain,
( ~ c_lessequals(A,c_message_oparts(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__subset__iff_1]),
[] ).
fof(cls_conjecture_1,plain,
~ c_lessequals(c_message_oparts(v_h),c_message_oparts(c_insert(v_x,v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV259-2.tptp',unknown),
[] ).
cnf(149590656,plain,
~ c_lessequals(c_message_oparts(v_h),c_message_oparts(c_insert(v_x,v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(157636912,plain,
~ c_lessequals(v_h,c_message_oparts(c_insert(v_x,v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[149602512,149590656]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[157463376,157636912]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_Oinsert__subset_1,plain,(~c_lessequals(c_insert(A,B,C),D,tc_set(C))|c_lessequals(B,D,tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV259-2.tptp',unknown),[]).
%
% cnf(149616760,plain,(~c_lessequals(c_insert(A,B,C),D,tc_set(C))|c_lessequals(B,D,tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_Oinsert__subset_1]),[]).
%
% 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/SWV259-2.tptp',unknown),[]).
%
% cnf(149596536,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/SWV259-2.tptp',unknown),[]).
%
% cnf(149621648,plain,(c_lessequals(A,A,tc_set(B))),inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),[]).
%
% cnf(157398320,plain,(c_lessequals(A,c_message_oparts(A),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[149596536,149621648]),[]).
%
% cnf(157463376,plain,(c_lessequals(B,c_message_oparts(c_insert(A,B,tc_message_omsg)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[149616760,157398320]),[]).
%
% fof(cls_Message_Oparts__subset__iff_1,plain,(~c_lessequals(A,c_message_oparts(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/SWV259-2.tptp',unknown),[]).
%
% cnf(149602512,plain,(~c_lessequals(A,c_message_oparts(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__subset__iff_1]),[]).
%
% fof(cls_conjecture_1,plain,(~c_lessequals(c_message_oparts(v_h),c_message_oparts(c_insert(v_x,v_h,tc_message_omsg)),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV259-2.tptp',unknown),[]).
%
% cnf(149590656,plain,(~c_lessequals(c_message_oparts(v_h),c_message_oparts(c_insert(v_x,v_h,tc_message_omsg)),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(157636912,plain,(~c_lessequals(v_h,c_message_oparts(c_insert(v_x,v_h,tc_message_omsg)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[149602512,149590656]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[157463376,157636912]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------