TSTP Solution File: SWV268-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV268-2 : 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 16:29:31 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(cls_Message_Oparts__mono_0,plain,
! [A,B] :
( ~ c_lessequals(A,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/SWV268-2.tptp',unknown),
[] ).
cnf(140966000,plain,
( ~ c_lessequals(A,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__mono_0]),
[] ).
fof(cls_conjecture_0,plain,
c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),
[] ).
cnf(140950552,plain,
c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_0]),
[] ).
cnf(151377352,plain,
c_lessequals(c_message_oparts(v_g),c_message_oparts(c_message_oparts(v_h)),tc_set(tc_message_omsg)),
inference(resolution,[status(thm)],[140966000,140950552]),
[] ).
fof(cls_conjecture_1,plain,
~ c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),
[] ).
cnf(140955512,plain,
~ c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg)),
inference(rewrite,[status(thm)],[cls_conjecture_1]),
[] ).
fof(cls_Message_Oparts__idem_0,plain,
! [A] : $equal(c_message_oparts(c_message_oparts(A)),c_message_oparts(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),
[] ).
cnf(140960168,plain,
$equal(c_message_oparts(c_message_oparts(A)),c_message_oparts(A)),
inference(rewrite,[status(thm)],[cls_Message_Oparts__idem_0]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151377352,140955512,140960168,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(cls_Message_Oparts__mono_0,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),[]).
%
% cnf(140966000,plain,(~c_lessequals(A,B,tc_set(tc_message_omsg))|c_lessequals(c_message_oparts(A),c_message_oparts(B),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_Message_Oparts__mono_0]),[]).
%
% fof(cls_conjecture_0,plain,(c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),[]).
%
% cnf(140950552,plain,(c_lessequals(v_g,c_message_oparts(v_h),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_0]),[]).
%
% cnf(151377352,plain,(c_lessequals(c_message_oparts(v_g),c_message_oparts(c_message_oparts(v_h)),tc_set(tc_message_omsg))),inference(resolution,[status(thm)],[140966000,140950552]),[]).
%
% fof(cls_conjecture_1,plain,(~c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),[]).
%
% cnf(140955512,plain,(~c_lessequals(c_message_oparts(v_g),c_message_oparts(v_h),tc_set(tc_message_omsg))),inference(rewrite,[status(thm)],[cls_conjecture_1]),[]).
%
% fof(cls_Message_Oparts__idem_0,plain,($equal(c_message_oparts(c_message_oparts(A)),c_message_oparts(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV268-2.tptp',unknown),[]).
%
% cnf(140960168,plain,($equal(c_message_oparts(c_message_oparts(A)),c_message_oparts(A))),inference(rewrite,[status(thm)],[cls_Message_Oparts__idem_0]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[151377352,140955512,140960168,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------