TSTP Solution File: SWV263-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV263-2 : TPTP v3.4.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 16:29:13 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_Oparts_OInj_0,plain,
! [A,B] :
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),
[] ).
cnf(147407224,plain,
( ~ c_in(A,B,tc_message_omsg)
| c_in(A,c_message_oparts(B),tc_message_omsg) ),
inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),
[] ).
fof(cls_Set_OsubsetD_0,plain,
! [A,B,C,D] :
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),
[] ).
cnf(147427880,plain,
( ~ c_in(A,B,C)
| ~ c_lessequals(B,D,tc_set(C))
| c_in(A,D,C) ),
inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),
[] ).
fof(cls_conjecture_0,plain,
c_lessequals(v_g,v_h,tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),
[] ).
cnf(147391856,plain,
c_lessequals(v_g,v_h,tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(160512920,plain,
( ~ c_in(A,v_g,tc_message_omsg)
| c_in(A,v_h,tc_message_omsg) ),
inference(resolution,[status(thm)],[147427880,147391856]),
[] ).
fof(cls_conjecture_1,plain,
c_in(v_x,v_g,tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),
[] ).
cnf(147396704,plain,
c_in(v_x,v_g,tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
cnf(160524096,plain,
c_in(v_x,v_h,tc_message_omsg),
inference(resolution,[status(thm)],[160512920,147396704]),
[] ).
cnf(160528712,plain,
c_in(v_x,c_message_oparts(v_h),tc_message_omsg),
inference(resolution,[status(thm)],[147407224,160524096]),
[] ).
fof(cls_conjecture_2,plain,
~ c_in(v_x,c_message_oparts(v_h),tc_message_omsg),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),
[] ).
cnf(147401536,plain,
~ c_in(v_x,c_message_oparts(v_h),tc_message_omsg),
inference(rewrite,[status(thm)],[cls_conjecture_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[160528712,147401536]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_Oparts_OInj_0,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),[]).
%
% cnf(147407224,plain,(~c_in(A,B,tc_message_omsg)|c_in(A,c_message_oparts(B),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_Message_Oparts_OInj_0]),[]).
%
% fof(cls_Set_OsubsetD_0,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),[]).
%
% cnf(147427880,plain,(~c_in(A,B,C)|~c_lessequals(B,D,tc_set(C))|c_in(A,D,C)),inference(rewrite,[status(thm)],[cls_Set_OsubsetD_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_lessequals(v_g,v_h,tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),[]).
%
% cnf(147391856,plain,(c_lessequals(v_g,v_h,tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(160512920,plain,(~c_in(A,v_g,tc_message_omsg)|c_in(A,v_h,tc_message_omsg)),inference(resolution,[status(thm)],[147427880,147391856]),[]).
%
% fof(cls_conjecture_1,plain,(c_in(v_x,v_g,tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),[]).
%
% cnf(147396704,plain,(c_in(v_x,v_g,tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% cnf(160524096,plain,(c_in(v_x,v_h,tc_message_omsg)),inference(resolution,[status(thm)],[160512920,147396704]),[]).
%
% cnf(160528712,plain,(c_in(v_x,c_message_oparts(v_h),tc_message_omsg)),inference(resolution,[status(thm)],[147407224,160524096]),[]).
%
% fof(cls_conjecture_2,plain,(~c_in(v_x,c_message_oparts(v_h),tc_message_omsg)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV263-2.tptp',unknown),[]).
%
% cnf(147401536,plain,(~c_in(v_x,c_message_oparts(v_h),tc_message_omsg)),inference(rewrite,[status(thm)],[cls_conjecture_2]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160528712,147401536]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------