%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV240-2 : 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 16:28:13 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 11 |; 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SWV240-2.tptp',unknown),
[] ).
cnf(151387744,plain,
c_lessequals(A,A,tc_set(B)),
inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),
[] ).
fof(cls_Message_Oanalz__subset__cong_0,plain,
! [A,B,C,D] :
( ~ c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg))
| ~ c_lessequals(c_message_oanalz(C),c_message_oanalz(D),tc_set(tc_message_omsg))
| c_lessequals(c_message_oanalz(c_union(C,A,tc_message_omsg)),c_message_oanalz(c_union(D,B,tc_message_omsg)),tc_set(tc_message_omsg)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),
[] ).
cnf(151366192,plain,
( ~ c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg))
| ~ c_lessequals(c_message_oanalz(C),c_message_oanalz(D),tc_set(tc_message_omsg))
| c_lessequals(c_message_oanalz(c_union(C,A,tc_message_omsg)),c_message_oanalz(c_union(D,B,tc_message_omsg)),tc_set(tc_message_omsg)) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__subset__cong_0]),
[] ).
fof(cls_conjecture_0,plain,
~ c_lessequals(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),
[] ).
cnf(151318040,plain,
~ c_lessequals(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(159266392,plain,
~ c_lessequals(c_message_oanalz(v_g),c_message_oanalz(c_message_oanalz(v_g)),tc_set(tc_message_omsg)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151387744,151366192,151318040]),
[] ).
fof(cls_Message_Oanalz_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oanalz(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),
[] ).
cnf(151324832,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oanalz(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz_OInj_0]),
[] ).
fof(cls_Set_OsubsetI_0,plain,
! [A,B,C] :
( c_in(c_main_osubseti__1(A,B,C),A,C)
| c_lessequals(A,B,tc_set(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),
[] ).
cnf(151372816,plain,
( c_in(c_main_osubseti__1(A,B,C),A,C)
| c_lessequals(A,B,tc_set(C)) ),
inference(rewrite,[status(thm)],[cls_Set_OsubsetI_0]),
[] ).
cnf(159344496,plain,
( c_in(c_main_osubseti__1(A,B,tc_message_omsg),c_message_oanalz(A),tc_message_omsg)
| c_lessequals(A,B,tc_set(tc_message_omsg)) ),
inference(resolution,[status(thm)],[151324832,151372816]),
[] ).
fof(cls_Set_OsubsetI_1,plain,
! [A,B,C] :
( ~ c_in(c_main_osubseti__1(A,B,C),B,C)
| c_lessequals(A,B,tc_set(C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),
[] ).
cnf(151382832,plain,
( ~ c_in(c_main_osubseti__1(A,B,C),B,C)
| c_lessequals(A,B,tc_set(C)) ),
inference(rewrite,[status(thm)],[cls_Set_OsubsetI_1]),
[] ).
cnf(159550728,plain,
c_lessequals(A,c_message_oanalz(A),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[159344496,151382832]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[159266392,159550728]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Set_Osubset__refl_0,plain,(c_lessequals(A,A,tc_set(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),[]).
%
% cnf(151387744,plain,(c_lessequals(A,A,tc_set(B))),inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),[]).
%
% fof(cls_Message_Oanalz__subset__cong_0,plain,(~c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg))|~c_lessequals(c_message_oanalz(C),c_message_oanalz(D),tc_set(tc_message_omsg))|c_lessequals(c_message_oanalz(c_union(C,A,tc_message_omsg)),c_message_oanalz(c_union(D,B,tc_message_omsg)),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),[]).
%
% cnf(151366192,plain,(~c_lessequals(c_message_oanalz(A),c_message_oanalz(B),tc_set(tc_message_omsg))|~c_lessequals(c_message_oanalz(C),c_message_oanalz(D),tc_set(tc_message_omsg))|c_lessequals(c_message_oanalz(c_union(C,A,tc_message_omsg)),c_message_oanalz(c_union(D,B,tc_message_omsg)),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oanalz__subset__cong_0]),[]).
%
% fof(cls_conjecture_0,plain,(~c_lessequals(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),[]).
%
% cnf(151318040,plain,(~c_lessequals(c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(159266392,plain,(~c_lessequals(c_message_oanalz(v_g),c_message_oanalz(c_message_oanalz(v_g)),tc_set(tc_message_omsg))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151387744,151366192,151318040]),[]).
%
% fof(cls_Message_Oanalz_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oanalz(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),[]).
%
% cnf(151324832,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oanalz(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oanalz_OInj_0]),[]).
%
% fof(cls_Set_OsubsetI_0,plain,(c_in(c_main_osubseti__1(A,B,C),A,C)|c_lessequals(A,B,tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),[]).
%
% cnf(151372816,plain,(c_in(c_main_osubseti__1(A,B,C),A,C)|c_lessequals(A,B,tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_OsubsetI_0]),[]).
%
% cnf(159344496,plain,(c_in(c_main_osubseti__1(A,B,tc_message_omsg),c_message_oanalz(A),tc_message_omsg)|c_lessequals(A,B,tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[151324832,151372816]),[]).
%
% fof(cls_Set_OsubsetI_1,plain,(~c_in(c_main_osubseti__1(A,B,C),B,C)|c_lessequals(A,B,tc_set(C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV240-2.tptp',unknown),[]).
%
% cnf(151382832,plain,(~c_in(c_main_osubseti__1(A,B,C),B,C)|c_lessequals(A,B,tc_set(C))),inference(rewrite,[status(thm)],[cls_Set_OsubsetI_1]),[]).
%
% cnf(159550728,plain,(c_lessequals(A,c_message_oanalz(A),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[159344496,151382832]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159266392,159550728]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------