TSTP Solution File: SWV239-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV239-2 : 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 16:28:10 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 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_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/SWV239-2.tptp',unknown),
[] ).
cnf(166856024,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]),
[] ).
fof(cls_Message_Oanalz__analzD__dest_0,plain,
! [A,B] :
( ~ c_in(A,c_message_oanalz(c_message_oanalz(B)),tc_message_omsg)
| c_in(A,c_message_oanalz(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV239-2.tptp',unknown),
[] ).
cnf(166796376,plain,
( ~ c_in(A,c_message_oanalz(c_message_oanalz(B)),tc_message_omsg)
| c_in(A,c_message_oanalz(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oanalz__analzD__dest_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/SWV239-2.tptp',unknown),
[] ).
cnf(166846000,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]),
[] ).
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/SWV239-2.tptp',unknown),
[] ).
cnf(166839400,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_Set_Osubset__refl_0,plain,
! [A,B] : c_lessequals(A,A,tc_set(B)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV239-2.tptp',unknown),
[] ).
cnf(166860936,plain,
c_lessequals(A,A,tc_set(B)),
inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),
[] ).
cnf(174663264,plain,
( ~ c_lessequals(c_message_oanalz(B),c_message_oanalz(C),tc_set(tc_message_omsg))
| c_lessequals(c_message_oanalz(c_union(B,A,tc_message_omsg)),c_message_oanalz(c_union(C,A,tc_message_omsg)),tc_set(tc_message_omsg)) ),
inference(resolution,[status(thm)],[166839400,166860936]),
[] ).
fof(cls_conjecture_0,plain,
~ c_lessequals(c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV239-2.tptp',unknown),
[] ).
cnf(166789568,plain,
~ c_lessequals(c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(174740944,plain,
~ c_lessequals(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[174663264,166789568]),
[] ).
cnf(174758776,plain,
c_in(c_main_osubseti__1(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_message_omsg),c_message_oanalz(c_message_oanalz(v_g)),tc_message_omsg),
inference(resolution,[status(thm)],[166846000,174740944]),
[] ).
cnf(174785312,plain,
c_in(c_main_osubseti__1(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_message_omsg),c_message_oanalz(v_g),tc_message_omsg),
inference(resolution,[status(thm)],[166796376,174758776]),
[] ).
cnf(174790712,plain,
c_lessequals(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[166856024,174785312]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174790712,174740944]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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/SWV239-2.tptp',unknown),[]).
%
% cnf(166856024,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]),[]).
%
% fof(cls_Message_Oanalz__analzD__dest_0,plain,(~c_in(A,c_message_oanalz(c_message_oanalz(B)),tc_message_omsg)|c_in(A,c_message_oanalz(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV239-2.tptp',unknown),[]).
%
% cnf(166796376,plain,(~c_in(A,c_message_oanalz(c_message_oanalz(B)),tc_message_omsg)|c_in(A,c_message_oanalz(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oanalz__analzD__dest_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/SWV239-2.tptp',unknown),[]).
%
% cnf(166846000,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]),[]).
%
% 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/SWV239-2.tptp',unknown),[]).
%
% cnf(166839400,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_Set_Osubset__refl_0,plain,(c_lessequals(A,A,tc_set(B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV239-2.tptp',unknown),[]).
%
% cnf(166860936,plain,(c_lessequals(A,A,tc_set(B))),inference(rewrite,[status(thm)],[cls_Set_Osubset__refl_0]),[]).
%
% cnf(174663264,plain,(~c_lessequals(c_message_oanalz(B),c_message_oanalz(C),tc_set(tc_message_omsg))|c_lessequals(c_message_oanalz(c_union(B,A,tc_message_omsg)),c_message_oanalz(c_union(C,A,tc_message_omsg)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[166839400,166860936]),[]).
%
% fof(cls_conjecture_0,plain,(~c_lessequals(c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV239-2.tptp',unknown),[]).
%
% cnf(166789568,plain,(~c_lessequals(c_message_oanalz(c_union(c_message_oanalz(v_g),v_h,tc_message_omsg)),c_message_oanalz(c_union(v_g,v_h,tc_message_omsg)),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(174740944,plain,(~c_lessequals(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[174663264,166789568]),[]).
%
% cnf(174758776,plain,(c_in(c_main_osubseti__1(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_message_omsg),c_message_oanalz(c_message_oanalz(v_g)),tc_message_omsg)),inference(resolution,[status(thm)],[166846000,174740944]),[]).
%
% cnf(174785312,plain,(c_in(c_main_osubseti__1(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_message_omsg),c_message_oanalz(v_g),tc_message_omsg)),inference(resolution,[status(thm)],[166796376,174758776]),[]).
%
% cnf(174790712,plain,(c_lessequals(c_message_oanalz(c_message_oanalz(v_g)),c_message_oanalz(v_g),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[166856024,174785312]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174790712,174740944]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------